is considered in a half-space in axisymmetric case under two types of Robin
boundary condition: the mathematical one with the prescribed linear combination of
the values of temperature and the values of its normal derivative and the physical
condition with the prescribed linear combination of the values of temperature and the
values of the heat flux at the boundary.">
半空间轴对称解Time-Fractional热传导方程在罗宾下边界条件</gydF4y2Batitle>
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<h1 class="articleHeader__title">半空间轴对称解Time-Fractional热传导方程在罗宾下边界条件</h1><d我vcl作为年代="articleHeader__authors">
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<strong>学术编辑器:</年代trong>
<span>尼古拉Leonenko</年代p一个n></d我v><d我vclass="articleHeader__timeline">
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<strong>收到了</年代trong>
<span>2012年5月23日</年代p一个n></d我v><d我vclass="articleHeader__timeline_item ">
<strong>修改后的</年代trong>
<span>2012年7月18日</年代p一个n></d我v><d我vclass="articleHeader__timeline_item ">
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<span>2012年7月23日</年代p一个n></d我v><d我vclass="articleHeader__timeline_item articleHeader__timeline_item_sticky">
<strong>发表</年代trong>
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<h4 class="header" id="abstract">文摘</h4><p>gydF4y2Batime-fractional热传导方程与卡普托导数的秩序<年代vghe我ght="11.0625" id="M1" style="vertical-align:-0.30096pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 11.0625" width="63.349998" xmlns="http://www.w3.org/2000/svg">
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<h4 id="introduction">1。介绍</h4><p>gydF4y2Ba广义傅里叶法、time-nonlocal热通量向量之间的依赖<年代vghe我ght="10.725" id="M2" style="vertical-align:-2.5707pt;width:8.8125px;" version="1.1" viewbox="0 0 8.8125 10.725" width="8.8125" xmlns="http://www.w3.org/2000/svg">
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<text transform="matrix(1,0,0,-1,200.69,58.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,216.49,52.96)">
<tspan style="font-size: 12.50px; " x="-86.519997" y="32.330002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
g</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.527526" y="0">
一个</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.078857" y="0">
d</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.393353" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.358482" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.521984" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.923519" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.175018" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.826614" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.228149" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="80.394287" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="90.121628" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.16201" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="112.67703" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="124.71742" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="130.96892" y="0">
;</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-152.25999" y="39.580002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-143.23283" y="39.580002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-139.06934" y="39.580002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-135.1559" y="39.580002">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-127.51656" y="39.580002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-115.48868" y="39.580002">
−</gydF4y2Batspan>
</text>
<g>
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<text transform="matrix(1,0,0,-1,110.77,4.63)">
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
Γ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.4147587" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.578258" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.418119" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.758339" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.009838" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,166.23,27.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.52">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,171.94,13.39)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.840101" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.192825" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.59436" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,204.7,18.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,220.51,13.38)">
<tspan style="font-size: 12.50px; " x="0" y="0">
g</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.364027" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
一个</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.066355" y="0">
d</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.393353" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.358482" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.521984" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.923519" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.162518" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.814114" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.215645" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="80.394287" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="90.109123" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.14951" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="112.67703" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="124.71742" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="130.96892" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="244.24001" y="-20.35">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="248.4035" y="-20.35">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="254.655" y="-20.35">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="257.78076" y="-20.35">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="264.03226" y="-20.35">
)</gydF4y2Batspan>
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</svg></span>在哪里<年代vghe我ght="13.45" id="M5" style="vertical-align:-2.21957pt;width:28.525px;" version="1.1" viewbox="0 0 28.525 13.45" width="28.525" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
Γ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.3392611" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.50276" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.541948" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>是伽马函数,可以解释的分数微积分:<年代p一个ncl作为年代="equation" id="EEq1.2">
<svg height="48.4375" id="M6" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.4375" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.4375)">
<g transform="translate(72,-33.25)">
<text transform="matrix(1,0,0,-1,111.14,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.190665" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.104103" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.743437" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.783825" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.348381" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.125008" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,173.33,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
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−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.37112" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-0.19" y="9.1000004">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2864799" y="9.1000004">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,189.14,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
g</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.364027" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
一个</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.066355" y="0">
d</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.393353" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.358482" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.521984" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.435421" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.674419" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.853058" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="74.567894" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="86.608284" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="97.135803" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="109.17619" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="115.4277" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-76.529999" y="23.98">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-67.502831" y="23.98">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-63.339336" y="23.98">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-59.425896" y="23.98">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-51.786564" y="23.98">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-39.758678" y="23.98">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-31.194122" y="23.98">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-24.417496" y="23.98">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,171.86,42.05)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,187.67,37.05)">
<tspan style="font-size: 12.50px; " x="0" y="0">
g</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.364027" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
一个</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.066355" y="0">
d</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.393353" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.358482" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.521984" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.435421" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.674419" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.853058" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="74.580399" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="86.608284" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="97.135803" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="109.17619" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="115.4277" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="277.07999" y="-12.45">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="281.2435" y="-12.45">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="287.495" y="-12.45">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="290.62076" y="-12.45">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="296.87225" y="-12.45">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>并结合能量守恒定律<年代p一个ncl作为年代="equation" id="EEq1.3">
<svg height="30.762501" id="M7" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.762501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,30.7625)">
<g transform="translate(72,-47.39)">
<text transform="matrix(1,0,0,-1,159.51,56.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,165.79,53.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,172.5,56.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.76" y="-7.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.411596" y="-7.25">
</gydF4y2Batspan>
</text>
<g>
<path d="m 183.09,59.47 19.69,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,189.74,47.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.709999" y="-8.7600002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.750389" y="-8.7600002">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.390442" y="-8.7600002">
d</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.641941" y="-8.7600002">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.117775" y="-8.7600002">
v</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="62.620777" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="275.01001" y="-8.9799995">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="279.17349" y="-8.9799995">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="285.42499" y="-8.9799995">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="288.55075" y="-8.9799995">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="294.80225" y="-8.9799995">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>结果在time-fractional热传导方程与卡普托分数导数<年代p一个ncl作为年代="equation" id="EEq1.4">
<svg height="31.4625" id="M8" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 31.4625" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,31.4625)">
<g transform="translate(72,-46.83)">
<text transform="matrix(1,0,0,-1,145.78,63.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,152.17,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,157.61,63.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 145.78,58.89 20.71,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,148.27,47.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,158.57,50.82)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,171.15,55.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.316895" y="0">
Δ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.344061" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.220711" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.386848" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.114185" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="71.154572" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="81.669594" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="93.709984" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="99.961487" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="293.60001" y="-0.51999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="297.76349" y="-0.51999998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="304.01498" y="-0.51999998">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="307.14075" y="-0.51999998">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="313.39224" y="-0.51999998">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在这里,<年代vghe我ght="11.0125" id="M9" style="vertical-align:-3.20526pt;width:16.362499px;" version="1.1" viewbox="0 0 16.362499 11.0125" width="16.362499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0125)">
<g transform="translate(72,-63.19)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-65.67,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>质量密度,<年代vghe我ght="10.6125" id="M10" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6125)">
<g transform="translate(72,-63.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>表示比热容<年代vghe我ght="14.6875" id="M11" style="vertical-align:-3.20526pt;width:77.300003px;" version="1.1" viewbox="0 0 77.300003 14.6875" width="77.300003" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6875)">
<g transform="translate(72,-60.25)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7398367" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.780226" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.556852" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.032684" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.196186" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-29.47,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-22.76,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.389513" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>热扩散率系数。</p><p>gydF4y2Ba记得Riemann-Liouville分数积分<年代vghe我ght="14.125" id="M12" style="vertical-align:-2.34499pt;width:39.799999px;" version="1.1" viewbox="0 0 39.799999 14.125" width="39.799999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.125)">
<g transform="translate(72,-60.7)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-64.82,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-59.39,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.016103" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>和衍生品<年代vghe我ght="16.325001" id="M13" style="vertical-align:-4.11421pt;width:52.912498px;" version="1.1" viewbox="0 0 52.912498 16.325001" width="52.912498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.325)">
<g transform="translate(72,-58.94)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-61.89,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-0.18000001" y="9.1000004">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2964802" y="9.1000004">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-48.9,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.016103" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>定义如下(见[<一个href="#B4">4</一个>- - - - - -<一个href="#B6">6</一个>):<年代p一个ncl作为年代="equation" id="EEq1.5">
<svg height="88.650002" id="M14" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 88.650002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,88.65)">
<g transform="translate(72,-1.08)">
<text transform="matrix(1,0,0,-1,94.97,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,102.1,57.96)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,107.53,52.96)">
<tspan style="font-size: 12.50px; " x="48.75" y="-7.25">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.591961" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.231295" y="0">
=</gydF4y2Batspan>
</text>
<g>
<path d="m 147,56.09 24.8,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,147,44.21)">
<tspan style="font-size: 12.50px; " x="28.08" y="-1.05">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
Γ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.4147587" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.578258" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.62995" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,182.09,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,187.79,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.846602" y="0.0099999998">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.199326" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.600863" y="0.0099999998">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,220.56,58.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,236.36,52.96)">
<tspan style="font-size: 12.50px; " x="-206.2" y="39.580002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.080057" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.331558" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.983154" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.384689" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.563332" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.078354" y="0">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="78.118744" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="84.370247" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="228.39" y="-0.56">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="232.5535" y="-0.56">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="238.80499" y="-0.56">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="241.93076" y="-0.56">
5</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="248.18225" y="-0.56">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,40.23,18.38)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-0.19" y="9.1000004">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2864799" y="9.1000004">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,53.21,13.38)">
<tspan style="font-size: 12.50px; " x="41.049999" y="-7.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.591961" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.231295" y="0">
=</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,101.66,25.7)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 92.68,16.51 17.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,92.68,4.63)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,103.24,9.7)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,113.24,6.06)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.32" y="-14.57">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 120.78,16.51 47.8,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,120.78,4.63)">
<tspan style="font-size: 12.50px; " x="51.080002" y="-1.0599999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
Γ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.4147587" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.578258" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.243557" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.583778" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.635471" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,178.86,27.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.52">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,184.57,13.39)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.852604" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.192825" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.59436" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,217.34,18.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="17.136415" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="23.131536" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,245.35,13.38)">
<tspan style="font-size: 12.50px; " x="40.389999" y="7.3200002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.080057" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.331558" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.983154" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.830002" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.99614" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="75.648933" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="86.989159" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="96.716492" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="108.75688" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="119.2719" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="131.31229" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="140.18942" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="219.39999" y="-0.25">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="223.56349" y="-0.25">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="229.815" y="-0.25">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="232.94075" y="-0.25">
6</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="239.19225" y="-0.25">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>而卡普托分数导数具有以下形式(<一个href="#B5">5</一个>- - - - - -<一个href="#B7">7</一个>]:<年代p一个ncl作为年代="equation" id="EEq1.7">
<svg height="38.387501" id="M15" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.3875)">
<g transform="translate(72,-41.29)">
<text transform="matrix(1,0,0,-1,42.97,61.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,50.37,66.38)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,55.81,61.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.591961" y="0">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 38.8,56.09 39.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,50.69,44.21)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,61.25,49.28)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,83.24,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.009998" y="-7.25">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 96.47,56.09 47.8,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,96.47,44.21)">
<tspan style="font-size: 12.50px; " x="51.080002" y="-1.05">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
Γ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.4147587" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.578258" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.243557" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.583778" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.635471" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,154.56,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,160.26,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.846602" y="0.0099999998">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.199326" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.600863" y="0.0099999998">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,193.03,58.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="17.136415" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="23.131536" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,226.4,61.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,233.81,66.38)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,240.52,61.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.080057" y="0">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 222.24,56.09 43.53,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,236.21,44.21)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,249.26,49.28)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,266.97,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.040629" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.920879" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.573673" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.926399" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="67.641228" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="79.681618" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="90.209145" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.24953" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="111.12666" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="197.78" y="-0.56">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="201.9435" y="-0.56">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="208.19499" y="-0.56">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="211.32076" y="-0.56">
7</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="217.57225" y="-0.56">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>详细解释time-fractional热传导方程的推导(<一个href="#EEq1.4">1.4</一个>)从本构方程(<一个href="#EEq1.2">1.2</一个>)和能量守恒定律(<一个href="#EEq1.3">1.3</一个>)中可以找到<一个href="#B8">8</一个>]。在这里我们简要介绍主要的想法。在的情况下<年代vghe我ght="12.3" id="M16" style="vertical-align:-1.29163pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 12.3" width="63.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.323135" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg>的结果(<一个href="#EEq1.2">1.2</一个>),(<gydF4y2Ba一个href="#EEq1.3">1.3</一个>)和(<一个href="#EEq1.6">1.6</一个>),我们有<年代p一个ncl作为年代="equation" id="EEq1.8">
<svg height="39.174999" id="M17" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 39.174999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,39.175)">
<g transform="translate(72,-40.66)">
<text transform="matrix(1,0,0,-1,104.34,60.21)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 104.34,56.09 15.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,106.82,44.21)">
<tspan style="font-size: 12.50px; " x="38.919998" y="-16">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.459999" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.487886" y="-8.75">
</gydF4y2Batspan>
</text>
<g>
<path d="m 143.79,56.09 10.3,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,143.79,44.21)">
<tspan style="font-size: 12.50px; " x="13.58" y="-1.42">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.4" y="-16">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 164.91,56.09 24.81,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,164.91,44.21)">
<tspan style="font-size: 12.50px; " x="28.09" y="-1.05">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
Γ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.4272623" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.590761" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.642452" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,200,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,205.71,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.849105" y="0.0099999998">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.189325" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.590862" y="0.0099999998">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,238.47,58.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,254.27,52.96)">
<tspan style="font-size: 12.50px; " x="49.860001" y="7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.290001" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
Δ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.992296" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.155796" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.557331" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.796329" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.447926" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="210.48" y="-0.23999999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="214.64349" y="-0.23999999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="220.895" y="-0.23999999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="224.02075" y="-0.23999999">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="230.27225" y="-0.23999999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>或集成后的时间<年代p一个ncl作为年代="equation" id="EEq1.9">
<svg height="16.6" id="M18" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.6" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<text transform="matrix(1,0,0,-1,151.3,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.952628" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.116127" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.029566" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.968731" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.308952" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.274082" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.43758" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.689083" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.328415" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="78.368805" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="84.645309" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,243.07,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,248.51,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
Δ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.903816" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="216.24001" y="0.56999999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="220.4035" y="0.56999999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="226.655" y="0.56999999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="229.78075" y="0.56999999">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="236.03224" y="0.56999999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>申请双方(<一个href="#EEq1.9">1.9</一个>)卡普托导数<年代vghe我ght="11.5" id="M19" style="vertical-align:-0.17555pt;width:38.924999px;" version="1.1" viewbox="0 0 38.924999 11.5" width="38.924999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.5)">
<g transform="translate(72,-62.8)">
<text transform="matrix(1,0,0,-1,-71.95,63.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-65.56,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-60.13,63.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-46.35,68.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>,考虑到<年代vghe我ght="11.0625" id="M20" style="vertical-align:-0.30096pt;width:36.137501px;" version="1.1" viewbox="0 0 36.137501 11.0625" width="36.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0625)">
<g transform="translate(72,-63.15)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
0</gydF4y2Batspan>
</text>
</g>
</g>
</svg>(<一个href="#B6">6</一个>),<gydF4y2Ba年代p一个ncl作为年代="equation" id="EEq1.10">
<svg height="31.4625" id="M21" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 31.4625" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,31.4625)">
<g transform="translate(72,-46.83)">
<text transform="matrix(1,0,0,-1,163.66,63.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,170.05,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 161.71,58.89 15.73,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,161.71,47.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,172.01,50.82)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,178.64,55.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,185.77,60.77)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,191.2,55.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.952628" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.116127" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.029566" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.6689" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.70929" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.661915" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.825417" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.738853" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.990353" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="267.29001" y="-0.51999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="271.45349" y="-0.51999998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="277.70499" y="-0.51999998">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="280.83075" y="-0.51999998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="287.08224" y="-0.51999998">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="293.33374" y="-0.51999998">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>我们获得time-fractional热传导方程(<一个href="#EEq1.4">1.4</一个>)<gydF4y2Ba年代vghe我ght="12.3" id="M22" style="vertical-align:-1.29163pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 12.3" width="63.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.323135" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba同样的,对<年代vghe我ght="12.3" id="M23" style="vertical-align:-1.29163pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 12.3" width="63.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.323135" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>,我们得到<年代p一个ncl作为年代="equation" id="EEq1.11">
<svg height="30.737499" id="M24" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.737499" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,30.7375)">
<g transform="translate(72,-47.41)">
<text transform="matrix(1,0,0,-1,169.91,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 169.91,59.47 15.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,172.39,47.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.450001" y="-8.7600002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.490389" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.766895" y="-8.7600002">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,215.29,61.35)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,231.09,56.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
Δ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.903816" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="227.39999" y="-0.23">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="231.56349" y="-0.23">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="237.815" y="-0.23">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="240.94075" y="-0.23">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="247.19225" y="-0.23">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="253.44376" y="-0.23">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>应用<年代vghe我ght="14.075" id="M25" style="vertical-align:-0.17555pt;width:64.849998px;" version="1.1" viewbox="0 0 64.849998 14.075" width="64.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.075)">
<g transform="translate(72,-60.74)">
<text transform="matrix(1,0,0,-1,-71.95,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-65.56,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-49.76,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-35.98,65.97)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg>(两边<一个href="#EEq1.11">1.11</一个>)给(<一个href="#EEq1.4">1.4</一个>)<gydF4y2Ba年代vghe我ght="12.3" id="M26" style="vertical-align:-1.29163pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 12.3" width="63.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.323135" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>以下平等实现(<一个href="#B5">5</一个>]<gydF4y2Ba年代p一个ncl作为年代="equation" id="EEq1.12">
<svg height="34.950001" id="M27" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.950001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,34.95)">
<g transform="translate(72,-44.04)">
<text transform="matrix(1,0,0,-1,168.63,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,175.02,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 166.67,56.84 26.11,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,166.67,44.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,176.97,48.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,195.17,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 195.17,56.84 15.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,197.65,44.96)">
<tspan style="font-size: 12.50px; " x="17.450001" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.690001" y="-16">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,234.73,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,240.16,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 228.34,56.84 20.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,230.82,44.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,241.12,48.77)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,250.23,53.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="208.25999" y="-1.1799999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="212.42349" y="-1.1799999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="218.675" y="-1.1799999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="221.80075" y="-1.1799999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="228.05225" y="-1.1799999">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="234.30374" y="-1.1799999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>如果有界的热传导方程是研究领域,应规定边界条件。的数学罗宾边界条件是一个规范的一个线性组合的值温度及其法向导数的值被认为是域的边界<年代p一个ncl作为年代="equation" id="EEq1.13">
<svg height="31.6875" id="M28" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 31.6875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,31.6875)">
<g transform="translate(72,-46.65)">
<text transform="matrix(1,0,0,-1,133.85,51.43)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.3600001" y="-4.9200001">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,146.4,53.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,151.28,56.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.6523161" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.992537" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,177.46,53.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,183.53,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 183.53,59.47 15.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,184.87,47.59)">
<tspan style="font-size: 12.50px; " x="15.13" y="-3.8399999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.73" y="-15.68">
|</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.73" y="-5.0100002">
|</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.73" y="-1.85">
|</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,210.1,46.79)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,220.37,56.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,240.14,53.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,247.09,53.83)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.8600001" y="-2.52">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,259.2,53.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,266,56.35)">
<tspan style="font-size: 12.50px; " x="9.1199999" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.049999" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="192.49001" y="0.15000001">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="196.6535" y="0.15000001">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="202.905" y="0.15000001">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="206.03075" y="0.15000001">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="212.28224" y="0.15000001">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="218.53375" y="0.15000001">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>与一些非零常数<年代vghe我ght="10.925" id="M29" style="vertical-align:-3.13504pt;width:12.7px;" version="1.1" viewbox="0 0 12.7 10.925" width="12.7" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-66.76,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg>和<年代vghe我ght="10.925" id="M30" style="vertical-align:-3.13504pt;width:12.7px;" version="1.1" viewbox="0 0 12.7 10.925" width="12.7" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-66.76,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>罗宾,而物理边界条件指定的值的线性组合的温度和热流的边界值的域。例如,身体之间的对流换热条件和环境温度<年代vghe我ght="14.3625" id="M31" style="vertical-align:-3.2316pt;width:14.2125px;" version="1.1" viewbox="0 0 14.2125 14.3625" width="14.2125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3625)">
<g transform="translate(72,-60.51)">
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<tspan style="font-size: 12.50px; " x="0" y="0">
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</text>
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</g>
</svg><span class="equation" id="EEq1.14">
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<g transform="matrix(1.25,0,0,-1.25,0,19.35)">
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⋅</gydF4y2Batspan>
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</g>
</g>
</svg>对流传热系数,导致<年代p一个ncl作为年代="equation" id="EEq1.15">
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<tspan style="font-size: 12.50px; " x="240.07375" y="-16.959999">
)</gydF4y2Batspan>
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</g>
</svg></span></p>
<p>文献关于数学方面的正确性为time-fractional扩散方程初边值问题和形式和性质的解决方案非常广泛(见,例如,<一个href="#B9">9</一个>- - - - - -<一个href="#B16">16</一个>)等)。(中给出了分数阶微积分的几何解释<一个href="#B17">17</一个>- - - - - -<一个href="#B19">19</一个>]。</p><p>gydF4y2Ba只有少数论文(<一个href="#B20">20.</一个>,<gydF4y2Ba一个href="#B21">21</一个>]部分扩散的研究在数学罗宾边界条件。在以前的出版物,问题一个圆柱体(<一个href="#B22">22</一个>和一个球体<一个href="#B23">23</一个>)在数学和物理诺伊曼边界条件被认为是。摘要,第一次time-fractional热传导方程的解决方案在一个楼梯下研究了罗宾的数学和物理边界条件。关于时间的拉普拉斯积分变换<年代vghe我ght="9.125" id="M35" style="vertical-align:-0.11285pt;width:5.0124998px;" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.125)">
<g transform="translate(72,-64.7)">
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<tspan style="font-size: 12.50px; " x="0" y="0">
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</text>
</g>
</g>
</svg>,汉克尔变换的空间坐标<年代vghe我ght="7.0124998" id="M36" style="vertical-align:-0.0pt;width:6.5px;" version="1.1" viewbox="0 0 6.5 7.0124998" width="6.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.0125)">
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<tspan style="font-size: 12.50px; " x="0" y="0">
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</g>
</svg>,sin-cos-Fourier变换对空间坐标<年代vghe我ght="7.375" id="M37" style="vertical-align:-0.17555pt;width:7.9250002px;" version="1.1" viewbox="0 0 7.9250002 7.375" width="7.9250002" xmlns="http://www.w3.org/2000/svg">
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</g>
</svg>使用。数学和物理诺伊曼边界条件下的解决方案得到了特定情况下。</p><h4gydF4y2Baid="mathematical-preliminaries">2。数学预赛</h4><h5gydF4y2Baid="sec2.1">2.1。拉普拉斯变换</h5><p>gydF4y2Ba拉普拉斯变换的定义是<年代p一个ncl作为年代="equation" id="EEq2.1">
<svg height="36.887501" id="M38" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.591961" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.84346" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,274.64,59.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.8459997" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,287.73,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.565035" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="177.02" y="0.039999999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="181.1835" y="0.039999999">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="187.435" y="0.039999999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="190.56075" y="0.039999999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="196.81226" y="0.039999999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght="7.1875" id="M39" style="vertical-align:-0.13794pt;width:7px;" version="1.1" viewbox="0 0 7 7.1875" width="7" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>是变量的变换。</p><p>gydF4y2Ba进行逆拉普拉斯transfrom根据Fourier-Mellin公式:<年代p一个ncl作为年代="equation" id="EEq2.2">
<svg height="38.887501" id="M40" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.8875)">
<g transform="translate(72,-40.89)">
<text transform="matrix(1,0,0,-1,69.87,52.53)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℒ</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,81.7,57.84)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,98.82,50.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.1900001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,114.45,57.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,121.61,52.54)">
<tspan style="font-size: 12.50px; " x="13.83" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="81.75" y="-7.2399998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.6648188" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.49" y="0.0099999998">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.530388" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.04541" y="0.0099999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.208912" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.122349" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="62.761684" y="0.0099999998">
=</gydF4y2Batspan>
</text>
<g>
<path d="m 197.61,55.66 17.74,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,197.61,43.78)">
<tspan style="font-size: 12.50px; " x="21.02" y="-1.05">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.853324" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,225.63,66.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="3.6320801" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.6272001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.349072" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="2.3820801" y="25.530001">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="8.3772001" y="25.530001">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="11.099072" y="25.530001">
∞</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,248.67,52.53)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,257.11,57.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,264.27,52.54)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.6648188" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.903816" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,285.74,57.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="3.8508799" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,292.83,52.53)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.152916" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.319056" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.708328" y="0">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.748718" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.000217" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="171.92" y="-0.79000002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="176.0835" y="-0.79000002">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="182.33499" y="-0.79000002">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="185.46075" y="-0.79000002">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="191.71225" y="-0.79000002">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght="7.1875" id="M41" style="vertical-align:-0.13794pt;width:7.3874998px;" version="1.1" viewbox="0 0 7.3874998 7.1875" width="7.3874998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>是一个积极的固定数量。</p><p>gydF4y2Ba的拉普拉斯变换Riemann-Liouville部分订单的积分<年代vghe我ght="7.1750002" id="M42" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>根据公式进行类似的拉普拉斯变换吗<年代vghe我ght="7.1374998" id="M43" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>倍的原始功能<年代p一个ncl作为年代="equation" id="EEq2.3">
<svg height="30.862499" id="M44" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.862499" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,30.8625)">
<g transform="translate(72,-47.31)">
<text transform="matrix(1,0,0,-1,147.06,56.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℒ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.903336" y="0">
{</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.904776" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,174.1,61.25)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,179.53,56.25)">
<tspan style="font-size: 12.50px; " x="47.82" y="-7.25">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.527526" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.691025" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.604464" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.767963" y="0">
}</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.232735" y="0">
=</gydF4y2Batspan>
</text>
<g>
<path d="m 225.01,59.37 10.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,225.01,47.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,230.51,50.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,237.14,56.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,245.58,61.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,252.74,56.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.6648188" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.903816" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="212.00999" y="-0.28">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="216.17349" y="-0.28">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="222.425" y="-0.28">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="225.55075" y="-0.28">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="231.80225" y="-0.28">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>卡普托导数的拉普拉斯变换需要认识函数的初始值<年代vghe我ght="15.5" id="M45" style="vertical-align:-2.34499pt;width:35.137501px;" version="1.1" viewbox="0 0 35.137501 15.5" width="35.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.5)">
<g transform="translate(72,-59.6)">
<text transform="matrix(1,0,0,-1,-71.95,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-54.6,67.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-48.1,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>和它的整数衍生品<年代vghe我ght="16.775" id="M46" style="vertical-align:-2.34499pt;width:50.849998px;" version="1.1" viewbox="0 0 50.849998 16.775" width="50.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.775)">
<g transform="translate(72,-58.58)">
<text transform="matrix(1,0,0,-1,-71.95,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-63.51,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="7.658" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-52.44,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-42.02,66.13)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-35.53,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>订单的<年代vghe我ght="12.8875" id="M47" style="vertical-align:-1.76814pt;width:117.95px;" version="1.1" viewbox="0 0 117.95 12.8875" width="117.95" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.8875)">
<g transform="translate(72,-61.69)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.239957" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.280346" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.531845" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.745598" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.997097" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.198345" y="0">
…</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.789345" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.003098" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="76.655891" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="87.996117" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg><span class="equation" id="EEq2.4">
<svg height="50.950001" id="M48" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.950001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,50.95)">
<g transform="translate(72,-31.24)">
<text transform="matrix(1,0,0,-1,39.43,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℒ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.91" y="7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.6" y="-8.3500004">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,77.43,61.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,82.87,55.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.591961" y="0">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 65.86,50.74 39.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,79.83,38.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,90.4,42.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,106.83,40.29)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.8" y="-7.3299999">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.827887" y="-7.3299999">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,139.17,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,144.6,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,153.04,52.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,160.2,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.6648188" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.603985" y="0">
−</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,188.15,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,188.37,41.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,188.89,33.89)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.738704" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,204.74,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,213.18,52.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="7.658" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,226.33,45.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,238.43,52.79)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,244.93,45.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,258.36,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.307248" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="21.302368" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,284.91,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.166139" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.818935" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.159157" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.88649" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.92688" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="70.454407" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="82.482292" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="91.359421" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="179.84" y="-0.87">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="184.00349" y="-0.87">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="190.255" y="-0.87">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="193.38075" y="-0.87">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="199.63225" y="-0.87">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>而Riemann-Liouville导数的拉普拉斯变换规则需要的知识分数积分的初始值<年代vghe我ght="15.5" id="M49" style="vertical-align:-2.34499pt;width:66.099998px;" version="1.1" viewbox="0 0 66.099998 15.5" width="66.099998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.5)">
<g transform="translate(72,-59.6)">
<text transform="matrix(1,0,0,-1,-71.95,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-64.82,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-47.18,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-29.83,67.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-23.33,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>及其衍生物的秩序<年代vghe我ght="12.8875" id="M50" style="vertical-align:-1.76814pt;width:117.95px;" version="1.1" viewbox="0 0 117.95 12.8875" width="117.95" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.8875)">
<g transform="translate(72,-61.69)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.239957" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.280346" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.531845" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.745598" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.997097" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.198345" y="0">
…</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.789345" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.003098" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="76.655891" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="87.996117" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg><span class="equation" id="EEq2.5">
<svg height="50.950001" id="M51" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.950001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,50.95)">
<g transform="translate(72,-31.24)">
<text transform="matrix(1,0,0,-1,26.6,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℒ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.91" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.1" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,57.76,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-0.18000001" y="9.1099997">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2964802" y="9.1099997">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,70.75,47.62)">
<tspan style="font-size: 12.50px; " x="22.76" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.591961" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.419998" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.460388" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,121.71,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,127.15,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,135.59,52.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,142.75,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.6648188" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.59148" y="0">
−</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,170.7,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,170.91,41.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,171.43,33.89)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.738704" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,187.28,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,197.35,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,202.59,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,209.72,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,227.36,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.52" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.370001" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,249.99,52.79)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,256.48,45.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,269.92,52.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="16.585039" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="22.58016" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,297.74,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.166139" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.818935" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.159157" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.88649" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.92688" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="70.454407" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="82.482292" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="91.359421" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="167.00999" y="-0.87">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="171.17349" y="-0.87">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="177.425" y="-0.87">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="180.55075" y="-0.87">
5</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="186.80225" y="-0.87">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>读者感兴趣的应用积分变换在分数微积分是指(<一个href="#B4">4</一个>- - - - - -<一个href="#B7">7</一个>,<gydF4y2Ba一个href="#B24">24</一个>]。</p><h5gydF4y2Baid="sec2.2">2.2。汉克尔变换</h5><p>gydF4y2Ba汉克尔变换被用来解决问题在圆柱坐标域<年代vghe我ght="12.3" id="M52" style="vertical-align:-1.29163pt;width:67.5625px;" version="1.1" viewbox="0 0 67.5625 12.3" width="67.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.332277" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="42.372665" y="0">
∞</gydF4y2Batspan>
</text>
</g>
</g>
</svg>和被定义为<年代p一个ncl作为年代="equation" id="EEq2.6">
<svg height="84.862503" id="M53" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 84.862503" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,84.8625)">
<g transform="translate(72,-4.11)">
<text transform="matrix(1,0,0,-1,102.93,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℋ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.540989" y="0">
{</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.542429" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.069956" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.233456" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.334679" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.498177" y="0">
}</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.962948" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.003334" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,177.38,59.23)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,184.54,54.16)">
<tspan style="font-size: 12.50px; " x="30.09" y="7.6999998">
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<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.041828" y="0">
=</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,221.63,68.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,232.32,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.779745" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.031246" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,265.11,51.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,272.08,54.16)">
<tspan style="font-size: 12.50px; " x="-180.03999" y="38.380001">
ℋ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.516223" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.944445" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.596043" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.697266" y="0">
,</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,104.51,21.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,117.46,13.27)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.1900001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,133.09,20.85)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,140.25,15.79)">
<tspan style="font-size: 12.50px; " x="14.58" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="76.739998" y="7.6999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.402496" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.24" y="0.0099999998">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.267887" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.79541" y="0.0099999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.958912" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.060135" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.699471" y="0.0099999998">
=</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,223.99,29.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,234.68,15.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,243.12,20.85)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,250.28,15.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.402496" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.653996" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,273.69,12.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,280.67,15.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.402496" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.50372" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.094721" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.746319" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="42.997818" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="184.08" y="-19.139999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="188.2435" y="-19.139999">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="194.495" y="-19.139999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="197.62074" y="-19.139999">
6</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="203.87225" y="-19.139999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght="14.7" id="M54" style="vertical-align:-3.21404pt;width:31.4625px;" version="1.1" viewbox="0 0 31.4625 14.7" width="31.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7)">
<g transform="translate(72,-60.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-65.2,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-60.31,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>是订单的贝塞尔函数<年代vghe我ght="7.2375002" id="M55" style="vertical-align:-0.11285pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 7.2375002" width="7.9749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.2375)">
<g transform="translate(72,-66.21)">
<text transform="matrix(1,0,0,-1,-71.95,66.37)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba满足以下公式:<年代p一个ncl作为年代="equation" id="EEq2.8">
<svg height="39.612499" id="M56" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 39.612499" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,39.6125)">
<g transform="translate(72,-40.31)">
<text transform="matrix(1,0,0,-1,78.36,52.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℋ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.55" y="7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.24" y="-8.3500004">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,117,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,121.87,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.53" y="-0.0099999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.693499" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.794724" y="-0.0099999998">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 105.43,55.74 40.4,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,117.31,41.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,129.07,46.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,149.8,52.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.54" y="-7.25">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 162.34,55.74 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,162.91,43.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.24" y="-17.1">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.891596" y="-17.1">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.41" y="-17.110001">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.573498" y="-17.110001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.674725" y="-17.110001">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 170.98,55.74 34.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,184.57,43.86)">
<tspan style="font-size: 12.50px; " x="25.16" y="-8.75">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.689999" y="-16">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,228.54,64.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<g>
<path d="m 222.26,55.74 11.15,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,222.85,43.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,227.95,46.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,234.61,52.61)">
<tspan style="font-size: 12.50px; " x="23.950001" y="7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.779745" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.75" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.79039" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.354942" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,300.22,57.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,305.09,52.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,313.53,57.68)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,320.69,52.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.653996" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="144.06" y="-0.41">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="148.2235" y="-0.41">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="154.47501" y="-0.41">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="157.60075" y="-0.41">
7</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="163.85225" y="-0.41">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<h5 id="sec2.3">2.3。Sin-Cos-Fourier变换</h5><p>gydF4y2Ba在第三类边界条件的情况下规定的边界值的一个函数及其法向导数的线性组合<年代p一个ncl作为年代="equation" id="EEq2.9">
<svg height="32.162498" id="M57" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 32.162498" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,32.1625)">
<g transform="translate(72,-46.27)">
<text transform="matrix(1,0,0,-1,114.56,55.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7023277" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.994217" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.245716" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.122368" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.373867" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.625366" y="0">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.876865" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.128365" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="75.855698" y="0">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="95.672958" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="109.61" y="-8.3500004">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="116.2616" y="-8.3500004">
</gydF4y2Batspan>
</text>
<g>
<path d="m 220.01,58.37 19.26,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,225.27,46.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.969999" y="-8.7600002">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.310221" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.225342" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.627834" y="-8.7600002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="62.668224" y="-8.7600002">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,296.27,52.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,301.15,55.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="163.60001" y="-0.75999999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="167.7635" y="-0.75999999">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="174.015" y="-0.75999999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="177.14075" y="-0.75999999">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="183.39224" y="-0.75999999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>以下sin-cos-Fourier变换(<一个href="#B25">25</一个>采用:<年代p一个ncl作为年代="equation" id="EEq2.10">
<svg height="84.862503" id="M58" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 84.862503" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,84.8625)">
<g transform="translate(72,-4.11)">
<text transform="matrix(1,0,0,-1,102.9,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℱ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.565755" y="0">
{</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.567196" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.094721" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.258221" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.497215" y="0">
)</gydF4y2Batspan>
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<p>sin-cos-Fourier变换应用到函数的二阶导数<年代p一个ncl作为年代="equation" id="EEq2.13">
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<h4 id="solution-to-the-problem-under-mathematical-robin-boundary-condition">3所示。解决这个问题在数学罗宾边界条件</h4><p>gydF4y2Ba考虑在圆柱坐标轴对称time-fractional热传导方程<年代p一个ncl作为年代="equation" id="EEq3.1">
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</gydF4y2Batspan>
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)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.808823" y="-8.7600002">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="222.66" y="-8.9700003">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="226.8235" y="-8.9700003">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="233.075" y="-8.9700003">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="236.20074" y="-8.9700003">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="242.45226" y="-8.9700003">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>0条件无穷也<年代p一个ncl作为年代="equation" id="EEq3.5">
<svg height="23.6875" id="M64" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 23.6875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,23.6875)">
<g transform="translate(72,-53.05)">
<text transform="matrix(1,0,0,-1,106.39,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
l</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.9516678" y="0">
米</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,105.47,55.7)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.0236478" y="0">
→</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="14.589584" y="0">
∞</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,128.17,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.952628" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.116127" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.217352" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.418598" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.657597" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.871346" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.784786" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.424118" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="60.464508" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.716011" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="93.172356" y="0">
l</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="96.648193" y="0">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="100.12402" y="0">
米</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,220.02,55.7)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.8288321" y="0">
→</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.386016" y="0">
∞</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,243.52,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.952628" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.116127" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.217352" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.431103" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.670099" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.871346" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.784786" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.424118" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="60.464508" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.716011" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="221.23" y="3.8">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="225.39349" y="3.8">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="231.645" y="3.8">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="234.77075" y="3.8">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="241.02225" y="3.8">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>初边值问题的解(<一个href="#EEq3.1">3.1</一个>)- (<一个href="#EEq3.5">3.4</一个>)可以写成<年代p一个ncl作为年代="equation" id="EEq3.6">
<svg height="38.387501" id="M65" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.3875)">
<g transform="translate(72,-41.29)">
<text transform="matrix(1,0,0,-1,99.52,52.96)">
<tspan style="font-size: 12.50px; " x="22.389999" y="7.6999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">
=</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,128.91,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,134.62,45.26)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,141.62,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,152.3,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.527526" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.691025" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.967531" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.168779" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.570316" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="42.985313" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,204.96,49.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,213.76,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2612238" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.462472" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.701469" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.91522" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.191727" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.392975" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.094582" y="0.0099999998">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.434803" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="61.836338" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="68.087837" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="74.364342" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="81.015938" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.367943" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="96.019539" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.42107" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="250.99001" y="-0.55000001">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="255.1535" y="-0.55000001">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="261.405" y="-0.55000001">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="264.53076" y="-0.55000001">
5</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="270.78226" y="-0.55000001">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght="14.8625" id="M66" style="vertical-align:-3.20526pt;width:77.449997px;" version="1.1" viewbox="0 0 77.449997 14.8625" width="77.449997" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.8625)">
<g transform="translate(72,-60.11)">
<text transform="matrix(1,0,0,-1,-71.95,63.36)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-62.29,60.23)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-55.57,63.36)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.465971" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.396473" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.309914" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>基本的解决方案是解决以下问题:<年代p一个ncl作为年代="equation" id="EEq3.7">
<svg height="183.55" id="M67" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 183.55" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,183.55)">
<g transform="translate(72,74.84)">
<text transform="matrix(1,0,0,-1,81.14,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,87.53,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,92.97,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,102.63,57.84)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 81.14,54.88 28.2,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,87.37,43)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,97.68,46.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,114.01,51.75)">
<tspan style="font-size: 12.50px; " x="20.4" y="7.3200002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.969999" y="-9.21">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,151.37,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,156.25,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,165.91,57.84)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 144.98,54.88 27.64,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,150.62,42.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,162.11,46.08)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,176.6,51.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.54" y="-7.2600002">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 189.14,54.88 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,189.71,43)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.0699997" y="-17.959999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.44653" y="-17.959999">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,213.83,57.84)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 197.78,54.88 22.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,203.42,43)">
<tspan style="font-size: 12.50px; " x="21.1" y="-8.75">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.639999" y="-17.959999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,243.45,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,248.32,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,257.98,57.84)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 237.06,54.88 27.64,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,242.13,42.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,254.75,46.08)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,265.89,44.43)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.46" y="-7.3200002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-185.94" y="22.65">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-176.22517" y="22.65">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-164.18478" y="22.65">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-155.60773" y="22.65">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-143.57983" y="22.65">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-132.00206" y="22.65">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-116.82342" y="22.65">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-107.09608" y="22.65">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-95.068199" y="22.65">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-85.353363" y="22.65">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-73.312973" y="22.65">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-61.735199" y="22.65">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-44.481056" y="22.65">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-34.753723" y="22.65">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-22.713335" y="22.65">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-15.336565" y="22.65">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-3.296176" y="22.65">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.2816019" y="22.65">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.535742" y="22.65">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.263077" y="22.65">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.303467" y="22.65">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.83099" y="22.65">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="69.858879" y="22.65">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="76.110374" y="22.65">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-156.66" y="44.119999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-149.28323" y="44.119999">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-137.24284" y="44.119999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-130.99135" y="44.119999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-124.73984" y="44.119999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-117.86319" y="44.119999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-111.61169" y="44.119999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-105.36019" y="44.119999">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-99.108688" y="44.119999">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-92.857193" y="44.119999">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-83.12986" y="44.119999">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-63.312603" y="44.119999">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,212.26,-2.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,222.44,0.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.458027" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.185364" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.213249" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.740776" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="77.781166" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="84.032661" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-117.6" y="30.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-110.22323" y="30.51">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-98.182838" y="30.51">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-91.931343" y="30.51">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-85.67984" y="30.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-78.803192" y="30.51">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-72.551689" y="30.51">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-66.300194" y="30.51">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-60.048691" y="30.51">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-53.797192" y="30.51">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-44.069859" y="30.51">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-23.040001" y="21.299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-16.663469" y="21.299999">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,215.45,-24.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 199.4,-27.08 22.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,205.63,-38.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.200001" y="-8.7600002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.227886" y="-8.7600002">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.479385" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="54.658028" y="-8.7600002">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.385361" y="-8.7600002">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="76.413246" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="86.940773" y="-8.7600002">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.981163" y="-8.7600002">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="105.23267" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-124.47" y="26.9">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-114.76767" y="26.9">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-102.72728" y="26.9">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-96.475784" y="26.9">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-90.224281" y="26.9">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-83.347633" y="26.9">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-77.09613" y="26.9">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-70.844635" y="26.9">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-64.593132" y="26.9">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-58.341633" y="26.9">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-48.6143" y="26.9">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-28.797045" y="26.9">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-17.881926" y="26.9">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,197.43,-68.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,206.92,-65.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.53" y="-9.21">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.919033" y="-9.21">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,235.51,-59.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 219.45,-62.73 22.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,224.52,-74.61)">
<tspan style="font-size: 12.50px; " x="22.370001" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.599998" y="-16">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 260.12,-62.73 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,260.7,-74.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.8699999" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.234507" y="-8.75">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.398006" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.274897" y="-8.75">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.627621" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.904125" y="-8.75">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.143124" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.520134" y="-8.75">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.683632" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="67.597069" y="-8.75">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.848572" y="-8.75">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="204.05" y="-70.07">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="208.2135" y="-70.07">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="214.465" y="-70.07">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="217.59074" y="-70.07">
6</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="223.84225" y="-70.07">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在这里,<年代vghe我ght="13.45" id="M68" style="vertical-align:-2.21957pt;width:24.775px;" version="1.1" viewbox="0 0 24.775 13.45" width="24.775" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.541229" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>狄拉克δ函数。</p><p>gydF4y2Ba关于时间的拉普拉斯变换<年代vghe我ght="9.125" id="M69" style="vertical-align:-0.11285pt;width:5.0124998px;" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.125)">
<g transform="translate(72,-64.7)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>,汉克尔变换的空间坐标<年代vghe我ght="7.0124998" id="M70" style="vertical-align:-0.0pt;width:6.5px;" version="1.1" viewbox="0 0 6.5 7.0124998" width="6.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.0125)">
<g transform="translate(72,-66.39)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>,sin-cos-Fourier变换的空间坐标<年代vghe我ght="7.375" id="M71" style="vertical-align:-0.17555pt;width:7.9250002px;" version="1.1" viewbox="0 0 7.9250002 7.375" width="7.9250002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.375)">
<g transform="translate(72,-66.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>导致<年代p一个ncl作为年代="equation" id="EEq3.11">
<svg height="42.262501" id="M72" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 42.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,42.2625)">
<g transform="translate(72,-38.19)">
<text transform="matrix(1,0,0,-1,116.26,54.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,125.93,59.54)">
<tspan style="font-size: 8.75px; " x="0" y="8.4399996">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.5772958" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.1545916" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,143.63,54.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.57" y="-9.2600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.846506" y="-9.2600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.872952" y="-9.2600002">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,179.26,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,186.22,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.691505" y="0">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 156.86,57.36 53.55,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,156.86,41.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 168.46,53.23 41.95,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,168.46,40.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,174.5,45.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,182.16,40.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,205.54,45.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,254.49,61.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 216.97,57.36 81.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,216.97,43.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,222.47,46.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,230.69,43.48)">
<tspan style="font-size: 12.50px; " x="19.700001" y="2.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.549999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,262.28,48.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,269.93,43.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,287.53,46.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,292.4,40.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.0500002" y="-13.26">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="172.35001" y="-11">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="176.5135" y="-11">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="182.765" y="-11">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="185.89075" y="-11">
7</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="192.14224" y="-11">
)</gydF4y2Batspan>
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</svg></span>在每个积分变换用星号。</p><p>gydF4y2Ba颠倒的积分变换导致<年代p一个ncl作为年代="equation" id="EEq3.12">
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</gydF4y2Batspan>
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,</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.396473" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.309914" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.949245" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="62.189999" y="-7.2399998">
2</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,151.42,64.91)">
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</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,179.4,66.69)">
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∞</gydF4y2Batspan>
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0</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,189.2,60.96)">
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</gydF4y2Batspan>
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2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,202.2,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
c</gydF4y2Batspan>
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o</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.802832" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25" y="-0.0099999998">
(</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.402496" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.428944" y="-0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.380611" y="-0.0099999998">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.720833" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.759781" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="79.875664" y="-0.0099999998">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="84.739334" y="-0.0099999998">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="88.215172" y="-0.0099999998">
n</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.80617" y="-0.0099999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="106.96967" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="113.20866" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="119.24761" y="-0.0099999998">
)</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,250.13,41.91)">
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+</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,273.51,46.8)">
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2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,131.02,19.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
×</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.765083" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,150.72,16.55)">
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</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="7.1241279" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,165.37,17.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.559999" y="-2.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.7800002" y="-2.51">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.344555" y="-2.51">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,198.97,24.74)">
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2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,206.62,19.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,224.22,24.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,229.09,17.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,240.94,24.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,246.37,17.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.8800001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,260,16.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,266.96,19.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.50372" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,295.47,16.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,302.43,19.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.691505" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.930502" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.182001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.833599" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.960548" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.612144" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="56.863644" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="162.32001" y="-20.719999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="166.48351" y="-20.719999">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="172.735" y="-20.719999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="175.86075" y="-20.719999">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="182.11224" y="-20.719999">
)</gydF4y2Batspan>
</text>
</g>
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</svg></span>在这里,<年代vghe我ght="16.237499" id="M74" style="vertical-align:-4.74141pt;width:26.9125px;" version="1.1" viewbox="0 0 26.9125 16.237499" width="26.9125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.2375)">
<g transform="translate(72,-59.01)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="7.115376" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>米塔格-莱弗勒函数的两个参数吗<年代vghe我ght="7.1750002" id="M75" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>和<年代vghe我ght="13.425" id="M76" style="vertical-align:-2.29482pt;width:8.8500004px;" version="1.1" viewbox="0 0 8.8500004 13.425" width="8.8500004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.425)">
<g transform="translate(72,-61.26)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>定义的系列表示:<年代p一个ncl作为年代="equation" id="EEq3.13">
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,92.3,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="7.115376" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,106.89,49.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.398997" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.025827" y="0.0099999998">
=</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,141.21,65.71)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,137.18,43.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,136.97,36.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2139201" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="12.20904" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,175.66,57.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,154.75,41.02)">
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Γ</gydF4y2Batspan>
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(</gydF4y2Batspan>
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+</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.59964" y="0">
)</gydF4y2Batspan>
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,</gydF4y2Batspan>
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</gydF4y2Batspan>
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></gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="99.943054" y="-8.75">
,</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="119.77281" y="-8.75">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="131.8132" y="-8.75">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="138.0647" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="147.44196" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="157.15678" y="-8.75">
∈</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="169.19717" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="177.58669" y="-8.75">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="310" y="-8.5500002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="314.16351" y="-8.5500002">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="320.41501" y="-8.5500002">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="323.54074" y="-8.5500002">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="329.79224" y="-8.5500002">
)</gydF4y2Batspan>
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</svg></span>米塔格-莱弗勒功能分数微积分的重要作用结果以下拉普拉斯逆变换公式<年代p一个ncl作为年代="equation" id="EEq3.14">
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<g transform="matrix(1.25,0,0,-1.25,0,38.575)">
<g transform="translate(72,-41.14)">
<text transform="matrix(1,0,0,-1,121.03,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℒ</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,132.85,58.75)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</gydF4y2Batspan>
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,</gydF4y2Batspan>
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−</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,283,58.45)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,288.44,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</gydF4y2Batspan>
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。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="170.05" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="174.2135" y="0">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="180.465" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="183.59074" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="189.84225" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="196.09375" y="0">
)</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.37845" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.418839" y="0">
0</gydF4y2Batspan>
</text>
</g>
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</svg>对应的数学诺伊曼边界条件与规定的边界值法向导数的温度,和解决方案<年代p一个ncl作为年代="equation" id="EEq3.15">
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,</gydF4y2Batspan>
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</gydF4y2Batspan>
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,</gydF4y2Batspan>
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<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.396473" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.309914" y="0">
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2</gydF4y2Batspan>
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</gydF4y2Batspan>
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1</gydF4y2Batspan>
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,</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.79" y="-2.51">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.354555" y="-2.51">
</gydF4y2Batspan>
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2</gydF4y2Batspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
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2</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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×</gydF4y2Batspan>
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c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-143.15308" y="26.83">
o</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-136.90158" y="26.83">
年代</gydF4y2Batspan>
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(</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-107.26947" y="26.83">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-101.01797" y="26.83">
</gydF4y2Batspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
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(</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.50372" y="0">
)</gydF4y2Batspan>
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</gydF4y2Batspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.691505" y="0">
)</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.182001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.833599" y="0">
</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.612144" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="56.863644" y="0">
。</gydF4y2Batspan>
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(</gydF4y2Batspan>
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3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="197.315" y="-18.75">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="200.44075" y="-18.75">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="206.69225" y="-18.75">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="212.94376" y="-18.75">
)</gydF4y2Batspan>
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<p>在经典热传导(<年代vghe我ght="10.85" id="M81" style="vertical-align:-0.1254pt;width:36.137501px;" version="1.1" viewbox="0 0 36.137501 10.85" width="36.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.85)">
<g transform="translate(72,-63.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg>),米塔格-莱弗勒功能:<年代p一个ncl作为年代="equation" id="EEq3.16">
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<g transform="translate(72,-54.61)">
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</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,171.55,56.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.5640001" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,185.07,56.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.414555" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,206.36,64.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,211.23,56.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.357885" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,238.16,64.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,248.97,67.72)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,253.09,59.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="205.39999" y="-0.95999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="209.56349" y="-0.95999998">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="215.815" y="-0.95999998">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="218.94075" y="-0.95999998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="225.19225" y="-0.95999998">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="231.44376" y="-0.95999998">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>并考虑以下积分(<一个href="#B26">26</一个>,<gydF4y2Ba一个href="#B27">27</一个>]:<年代p一个ncl作为年代="equation" id="EEq3.17">
<svg height="312.04999" id="M83" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 312.04999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
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</gydF4y2Batspan>
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∞</gydF4y2Batspan>
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0</gydF4y2Batspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,47.66,58.45)">
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,62.86,61.95)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,66.98,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,73.74,50.32)">
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.916079" y="0">
+</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,294.21,-87.61)">
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2</gydF4y2Batspan>
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√</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,312.06,-87.61)">
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.572424" y="-2.1700001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.92" y="-11.91">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.08614" y="-11.91">
</gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="71.130371" y="-11.91">
,</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="87.771858" y="-11.91">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="99.812248" y="-11.91">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="106.06375" y="-11.91">
,</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,-12.94,-104.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.52">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,13.81,-111.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<g>
<path d="m -1.06,-115.43 36.62,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,-1.06,-129.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,5.82,-125.87)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,13.47,-129.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,30.69,-124.24)">
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2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,40.93,-118.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,46.49,-113.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.388624" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,61.69,-110.06)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,67.9,-118.56)">
<tspan style="font-size: 12.50px; " x="-66.529999" y="42.93">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-53.299999" y="35.68">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.863667" y="0">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.3395014" y="0">
n</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.917999" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.081497" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.270245" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.146893" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.398392" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.049988" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 14.6,-158.37 7.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,15.28,-170.24)">
<tspan style="font-size: 12.50px; " x="0" y="0">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.1199999" y="-8.75">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,28.97,-156.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3935041" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,37.47,-152.99)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,43.68,-171.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.2600002" y="-9.7399998">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,57.51,-156.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.10856" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,74.27,-161.49)">
<tspan style="font-size: 12.50px; " x="25.68" y="9.7399998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.779999" y="0.2">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
f</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.87833" y="0">
c</gydF4y2Batspan>
</text>
<g>
<path d="m 121.65,-149.93 6.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,121.65,-161.49)">
<tspan style="font-size: 12.50px; " x="36.630001" y="-7.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.928582" y="0">
−</gydF4y2Batspan>
</text>
<g>
<path d="m 149.12,-158.37 24.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,149.12,-173.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2600002" y="0.85000002">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 166.98,-162.49 6.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,166.98,-173.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.4699998" y="-2.1700001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.35" y="-11.91">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.690222" y="-11.91">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,204.24,-156.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.11344" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,215,-161.49)">
<tspan style="font-size: 12.50px; " x="25.68" y="9.7399998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.790001" y="0.2">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
f</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.87833" y="0">
c</gydF4y2Batspan>
</text>
<g>
<path d="m 262.39,-149.93 6.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,262.39,-161.49)">
<tspan style="font-size: 12.50px; " x="36.630001" y="-7.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.928582" y="0">
+</gydF4y2Batspan>
</text>
<g>
<path d="m 289.86,-158.37 24.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,289.86,-173.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.25" y="0.85000002">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 307.71,-162.49 6.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,307.71,-173.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.48" y="-2.1700001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.582424" y="-2.1700001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.93" y="-11.91">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.096138" y="-11.91">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.84848" y="-11.91">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.876366" y="-11.91">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="71.127869" y="-11.91">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="78.429619" y="-11.91">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="87.769356" y="-11.91">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="99.809746" y="-11.91">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="106.06125" y="-11.91">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="150.78" y="-117.45">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="154.9435" y="-117.45">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="161.19499" y="-117.45">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="164.32076" y="-117.45">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="170.57225" y="-117.45">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="176.82375" y="-117.45">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght="14.75" id="M84" style="vertical-align:-3.25793pt;width:32.724998px;" version="1.1" viewbox="0 0 32.724998 14.75" width="32.724998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.75)">
<g transform="translate(72,-60.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-65.95,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-61.07,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>是修改后的贝塞尔函数,<年代vghe我ght="10.95" id="M85" style="vertical-align:-0.1254pt;width:38.212502px;" version="1.1" viewbox="0 0 38.212502 10.95" width="38.212502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.95)">
<g transform="translate(72,-63.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
f</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.87833" y="0">
c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.593161" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>是互补的误差函数,我们得到了什么<年代p一个ncl作为年代="equation" id="EEq3.21">
<svg height="104.875" id="M86" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 104.875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,104.875)">
<g transform="translate(72,11.9)">
<text transform="matrix(1,0,0,-1,-23.56,52.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-13.89,49.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-5.1,52.74)">
<tspan style="font-size: 12.50px; " x="64.150002" y="-7.2399998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.465971" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.408978" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.322414" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.961746" y="0">
=</gydF4y2Batspan>
</text>
<g>
<path d="m 57.1,55.86 10.16,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,57.1,43.98)">
<tspan style="font-size: 12.50px; " x="39.830002" y="-1.42">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.209999" y="-8.75">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.970001" y="-17.049999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.44" y="-8.75">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.991331" y="-8.75">
x</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.242832" y="-8.75">
p</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,121.17,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,128.82,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,146.44,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,154.09,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,171.68,66.03)">
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2</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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4</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,195.21,49.6)">
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0</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,202.17,47.81)">
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<g>
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</g>
<text transform="matrix(1,0,0,-1,210.73,43.98)">
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-155.78999" y="37.450001">
×</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-142.92999" y="25.389999">
⎧</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-142.92999" y="30.51">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-142.92999" y="40.639999">
⎨</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-142.92999" y="50.77">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-142.92999" y="55.830002">
⎩</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-122.16" y="30.200001">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.528006" y="0">
</gydF4y2Batspan>
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<g>
<path d="m 77,9.65 29.39,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,77,-6.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 88.6,5.53 17.79,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,88.6,-6.15)">
<tspan style="font-size: 12.50px; " x="73.620003" y="-22.93">
⎡</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.620003" y="-13.97">
⎢</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.620003" y="-5.0100002">
⎢</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.620003" y="3.8900001">
⎣</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="79.25" y="-2.9400001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.349998" y="-13.27">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.6018238" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.87833" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.77" y="-12.68">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.110222" y="-12.68">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.226109" y="-12.68">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.777439" y="-12.68">
x</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.028938" y="-12.68">
p</gydF4y2Batspan>
</text>
<g>
<path d="m 189.56,18.87 10.19,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,189.56,6.53)">
<tspan style="font-size: 12.50px; " x="47.32" y="-7.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.189945" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.868227" y="0">
+</gydF4y2Batspan>
</text>
<g>
<path d="m 225.98,9.65 28.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,225.98,-6.17)">
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.25" y="0.059999999">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 243.83,5.53 10.19,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,243.83,-6.17)">
<tspan style="font-size: 12.50px; " x="11.39" y="-2.96">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,265.32,25.59)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,270.2,16.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
⎤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="8.96">
⎥</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="17.92">
⎥</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="26.82">
⎦</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.389999" y="19.99">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.490002" y="9.6599998">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.71" y="10.25">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.261332" y="10.25">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.424831" y="10.25">
f</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.588329" y="10.25">
c</gydF4y2Batspan>
</text>
<g>
<path d="m 325.29,18.87 10.19,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,325.29,6.53)">
<tspan style="font-size: 12.50px; " x="47.330002" y="-7.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.189945" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.88073" y="0">
+</gydF4y2Batspan>
</text>
<g>
<path d="m 361.72,9.65 28.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,361.72,-6.17)">
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.25" y="0.059999999">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 379.57,5.53 10.19,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,379.57,-6.17)">
<tspan style="font-size: 12.50px; " x="11.39" y="-2.96">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.49" y="-24.76">
⎫</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.49" y="-19.639999">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.49" y="-9.5100002">
⎬</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.49" y="0.62">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.49" y="5.7399998">
⎭</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.57" y="-12.7">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="78.919998" y="-33.09">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="83.083496" y="-33.09">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.334999" y="-33.09">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="92.460747" y="-33.09">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.71225" y="-33.09">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="104.96375" y="-33.09">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>波动方程(<年代vghe我ght="10.85" id="M87" style="vertical-align:-0.1254pt;width:36.137501px;" version="1.1" viewbox="0 0 36.137501 10.85" width="36.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.85)">
<g transform="translate(72,-63.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>),<年代p一个ncl作为年代="equation" id="EEq3.22">
<svg height="30.950001" id="M88" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.950001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,30.95)">
<g transform="translate(72,-47.24)">
<text transform="matrix(1,0,0,-1,157.81,56.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,166.74,53.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.5640001" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,180.26,53.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.414555" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,201.55,61.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,206.43,53.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.549999" y="-9.7600002">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.413668" y="-9.7600002">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.889502" y="-9.7600002">
n</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.392502" y="-9.7600002">
</gydF4y2Batspan>
</text>
<g>
<path d="m 228.98,59.28 27.72,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,239.41,47.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.49" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="219.08" y="-9.0900002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="223.2435" y="-9.0900002">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="229.495" y="-9.0900002">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="232.62074" y="-9.0900002">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="238.87225" y="-9.0900002">
5</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="245.12375" y="-9.0900002">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>和后评估必要的积分出现在解决方案(<一个href="#EEq3.12">3.8</一个>)(假设下<年代vghe我ght="13.55" id="M89" style="vertical-align:-2.29482pt;width:35.174999px;" version="1.1" viewbox="0 0 35.174999 13.55" width="35.174999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7398367" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.780226" y="0">
0</gydF4y2Batspan>
</text>
</g>
</g>
</svg>)[<一个href="#B26">26</一个>,<gydF4y2Ba一个href="#B27">27</一个>]<gydF4y2Ba年代p一个ncl作为年代="equation" id="EEq3.23">
<svg height="188.4375" id="M90" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 188.4375" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,188.4375)">
<g transform="translate(72,78.75)">
<text transform="matrix(1,0,0,-1,-33.44,37.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-26.44,59.5)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.52">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,6.24,52.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m -14.56,48.6 48.47,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,-14.56,32.72)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
</text>
<g>
<path d="m -2.95,44.47 36.86,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,-2.95,32.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,3.92,36.17)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,11.57,32.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,29.03,36.17)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,37.19,45.47)">
<tspan style="font-size: 12.50px; " x="22.92" y="4.9200001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.290001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.16" y="-0.64999998">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.863667" y="0">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.3395014" y="0">
n</gydF4y2Batspan>
</text>
<g>
<path d="m 84.96,57.87 36.86,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,84.96,45.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
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<tspan style="font-size: 12.50px; " x="29.040001" y="13.32">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.040001" y="18.379999">
⎩</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.040001" y="-11.87">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.799999" y="-19.129999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.991577" y="0">
=</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,179.28,-57.2)">
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2</gydF4y2Batspan>
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−</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.863667" y="0">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.3395014" y="0">
n</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.591001" y="0">
h</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.18" y="-0.0099999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.343498" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.21991" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.446404" y="-0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.685398" y="-0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="67.314148" y="-0.0099999998">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="77.041481" y="-0.0099999998">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.081871" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.284081" y="-0.0099999998">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="110.32447" y="-0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="116.43844" y="-0.0099999998">
,</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,170.71,-78.55)">
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
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</gydF4y2Batspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.10856" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,201.45,-69.8)">
<tspan style="font-size: 12.50px; " x="0" y="0">
c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
o</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.802832" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.666498" y="0">
h</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.244997" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.408497" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.284904" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.398872" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.650372" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="75.793182" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="85.520523" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="97.560905" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="107.15071" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="119.1911" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="124.91747" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="148" y="-9.4799995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="157.33974" y="-9.4799995">
></gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="169.38013" y="-9.4799995">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="175.63164" y="-9.4799995">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="257.04001" y="-63.299999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="261.20349" y="-63.299999">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="267.45499" y="-63.299999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="270.58075" y="-63.299999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="276.83224" y="-63.299999">
6</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="283.08374" y="-63.299999">
)</gydF4y2Batspan>
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</g>
</svg></span>我们获得解决方案<年代p一个ncl作为年代="equation" id="EEq3.26">
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</gydF4y2Batspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<tspan style="font-size: 12.50px; " x="4.9299998" y="53.720001">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="27.780001">
⎧</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="35.330002">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="46.110001">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="56.900002">
⎨</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="67.690002">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="78.480003">
⎪</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.969999" y="85.970001">
⎩</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="42.610001" y="25.709999">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.465971" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.906216" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.157715" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.371468" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.284904" y="0">
)</gydF4y2Batspan>
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</g>
<text transform="matrix(1,0,0,-1,24.18,38.33)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<path d="m -3.86,31.36 50.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,-3.86,15.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
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<g>
<path d="m 7.74,27.24 39.16,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
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<text transform="matrix(1,0,0,-1,7.74,14.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,17.93,18.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,25.58,14.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,42.03,17.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,50.18,23.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.7399998" y="-4.9200001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.11" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.48" y="-6.1799998">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 83.26,41.25 39.16,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
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<text transform="matrix(1,0,0,-1,83.26,28.24)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,93.45,32.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,101.1,28.24)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,117.55,31.68)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,125.2,28.24)">
<tspan style="font-size: 12.50px; " x="17.58" y="4.9200001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.959999" y="-3.5527137e-015">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.30022" y="-3.5527137e-015">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.21534" y="-3.5527137e-015">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,180.99,33.24)">
<tspan style="font-size: 8.75px; " x="16.549999" y="-0.89999998">
√</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="13.635616" y="0">
(</gydF4y2Batspan>
</text>
<g>
<path d="m 205.66,42.37 23.94,0" style="fill:none;stroke:#000000;stroke-width:0.57800001;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,205.66,33.24)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3935041" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,212.79,35.86)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,216.41,33.24)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,225.98,35.65)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,229.6,33.24)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.362368" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,243.38,23.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="60.619999" y="-4.0700002">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.24" y="-4.9200001">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.95483" y="-4.9200001">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.99522" y="-4.9200001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.572277" y="-4.9200001">
<</gydF4y2Batspan>
</text>
<g>
<path d="m 315.6,39.15 6.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,315.6,28.24)">
<tspan style="font-size: 12.50px; " x="-10.47" y="28.98">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.189945" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-53.98" y="30.25">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-44.265167" y="30.25">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-32.224781" y="30.25">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-22.509949" y="30.25">
<</gydF4y2Batspan>
</text>
<g>
<path d="m 316.74,11.01 39.16,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,316.74,-2.01)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,326.93,1.8)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,334.58,-2.01)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,351.02,1.43)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,355.9,-2.01)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-360.95999" y="18.75">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-94.279999" y="19.59">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 273.22,-9.85 6.28,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
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<text transform="matrix(1,0,0,-1,273.22,-20.76)">
<tspan style="font-size: 12.50px; " x="65.190002" y="-1.26">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.665779" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.693665" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.270721" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.311111" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.888889" y="0">
,</gydF4y2Batspan>
</text>
<g>
<path d="m 350.01,-7.74 39.16,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,350.01,-20.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,360.2,-16.95)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,367.85,-20.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,384.3,-17.32)">
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2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,392.65,-20.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
<</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.783108" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.839996" y="-40.98">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="70.003502" y="-40.98">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="76.254997" y="-40.98">
。</gydF4y2Batspan>
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1</gydF4y2Batspan>
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7</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="91.883751" y="-40.98">
)</gydF4y2Batspan>
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<p>特别感兴趣的也是如此<年代vghe我ght="10.9125" id="M92" style="vertical-align:-0.17555pt;width:48.299999px;" version="1.1" viewbox="0 0 48.299999 10.9125" width="48.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.806911" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>的<年代p一个ncl作为年代="equation" id="EEq3.27">
<svg height="226.3" id="M93" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 226.3" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,226.3)">
<g transform="translate(72,109.04)">
<text transform="matrix(1,0,0,-1,42.01,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,50.94,51.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.8090558" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="11.185056" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="13.373056" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="17.749056" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="20.182112" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,78.08,54.16)">
<tspan style="font-size: 12.50px; " x="46.950001" y="-7.25">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.728054" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.604704" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.231533" y="0">
=</gydF4y2Batspan>
</text>
<g>
<path d="m 118.55,57.28 19.21,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,118.55,41.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
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<g>
<path d="m 130.15,53.16 7.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,130.15,42.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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−</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,165.51,59.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,170.33,62.66)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,176.53,54.16)">
<tspan style="font-size: 12.50px; " x="55.740002" y="-7.25">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
r</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
f</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.87833" y="0">
c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.681162" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.033646" y="0">
=</gydF4y2Batspan>
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<g>
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</g>
<text transform="matrix(1,0,0,-1,225.8,41.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
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<g>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,255.28,68.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,270.14,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,275.7,59.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,285.85,62.66)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,289.47,59.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.37112" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.18472" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,309.3,54.16)">
<tspan style="font-size: 12.50px; " x="-308.57001" y="47.310001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.0019197" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.653516" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.579939" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.758579" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.09856" y="0">
≥</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.13895" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.39045" y="0">
,</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,10.39,3.73)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,19.19,6.86)">
<tspan style="font-size: 12.50px; " x="77.919998" y="-7.2399998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.465971" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.396473" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.309914" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.949245" y="0">
=</gydF4y2Batspan>
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<g>
<path d="m 85.55,9.98 29.37,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,85.55,-4.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.25" y="0.94">
√</gydF4y2Batspan>
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<g>
<path d="m 103.4,5.85 7.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
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<text transform="matrix(1,0,0,-1,103.4,-4.96)">
<tspan style="font-size: 12.50px; " x="14.8" y="-4.1199999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.6018238" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,125.2,20.88)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,135.89,6.85)">
<tspan style="font-size: 12.50px; " x="26.389999" y="9.7299995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
e</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
x</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.802832" y="0">
p</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.490002" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.054554" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,186.87,11.85)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,194.52,6.85)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
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</gydF4y2Batspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,219.82,15.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,237.44,20.15)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,245.09,15.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,262.67,20.15)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
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<g>
<path d="m 207.06,9.98 60.48,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
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<text transform="matrix(1,0,0,-1,220.32,-5.85)">
<tspan style="font-size: 12.50px; " x="12.53" y="0.050000001">
√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">
</gydF4y2Batspan>
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<g>
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<text transform="matrix(1,0,0,-1,244.45,-5.85)">
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="3.913439" y="0">
</gydF4y2Batspan>
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0</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,293.89,-2.88)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,305.18,-5.85)">
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√</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">
</gydF4y2Batspan>
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<g>
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<text transform="matrix(1,0,0,-1,329.31,-5.85)">
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</gydF4y2Batspan>
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×</gydF4y2Batspan>
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⎧</gydF4y2Batspan>
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⎪</gydF4y2Batspan>
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⎪</gydF4y2Batspan>
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1</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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√</gydF4y2Batspan>
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<h4 id="solution-to-the-problem-under-physical-robin-boundary-condition">4所示。在罗宾物理边界条件下解决这个问题</h4><p>gydF4y2Ba考虑下面的轴对称time-fractional热传导方程:<年代p一个ncl作为年代="equation" id="EEq4.1">
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<tspan style="font-size: 12.50px; " x="248.65225" y="3.4100001">
)</gydF4y2Batspan>
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</svg></span>在零初始条件下<年代p一个ncl作为年代="equation" id="EEq4.2">
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</gydF4y2Batspan>
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=</gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.668659" y="0">
0</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.79681" y="0">
0</gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.299809" y="0">
8</gydF4y2Batspan>
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9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.802811" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.530144" y="0">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="93.359901" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="103.69988" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="115.74027" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="121.99177" y="0">
,</gydF4y2Batspan>
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0</gydF4y2Batspan>
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<</gydF4y2Batspan>
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</gydF4y2Batspan>
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≤</gydF4y2Batspan>
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2</gydF4y2Batspan>
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,</gydF4y2Batspan>
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</gydF4y2Batspan>
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=</gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.27866" y="28.32">
0</gydF4y2Batspan>
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</gydF4y2Batspan>
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0</gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.909809" y="28.32">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.161308" y="28.32">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="58.412807" y="28.32">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="68.140144" y="28.32">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.169998" y="21.07">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="95.546532" y="21.07">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,205.63,26.12)">
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.450001" y="-8.7600002">
=</gydF4y2Batspan>
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0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.729385" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.908028" y="-8.7600002">
1</gydF4y2Batspan>
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<</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="83.190773" y="-8.7600002">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="95.231163" y="-8.7600002">
2</gydF4y2Batspan>
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,</gydF4y2Batspan>
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(</gydF4y2Batspan>
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4</gydF4y2Batspan>
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。</gydF4y2Batspan>
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2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="278.91226" y="-19.719999">
)</gydF4y2Batspan>
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</g>
</svg></span>罗宾和物理边界条件<年代p一个ncl作为年代="equation" id="EEq4.4">
<svg height="72.662498" id="M96" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 72.662498" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,72.6625)">
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</gydF4y2Batspan>
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=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.994217" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.245716" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.122368" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.373867" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.625366" y="0">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.876865" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.128365" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="75.855698" y="0">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="95.685455" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="106.60058" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="116.25289" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="127.59312" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,202.79,61.35)">
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1</gydF4y2Batspan>
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−</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-0.19" y="9.1099997">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2864799" y="9.1099997">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,219.79,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<g>
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</g>
<text transform="matrix(1,0,0,-1,221.11,47.59)">
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</gydF4y2Batspan>
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.610001" y="-8.7600002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.650389" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.165413" y="-8.7600002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.328911" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.430134" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.643887" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.557323" y="-8.7600002">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.808823" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="80.97496" y="-8.7600002">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="90.702301" y="-8.7600002">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.74268" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="113.25771" y="-8.7600002">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="125.2981" y="-8.7600002">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="131.54961" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-155.99001" y="24.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-146.27516" y="24.74">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-134.24728" y="24.74">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-127.99578" y="24.74">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-121.74429" y="24.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-114.86763" y="24.74">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-108.61613" y="24.74">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-102.36463" y="24.74">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-96.113136" y="24.74">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-89.861633" y="24.74">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-80.1343" y="24.74">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-60.304543" y="24.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-49.389423" y="24.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-39.737106" y="24.74">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-28.396885" y="24.74">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,199.85,27.85)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,216.85,30.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<g>
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</g>
<text transform="matrix(1,0,0,-1,218.17,14.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.620001" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.647886" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.175411" y="-8.75">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.338909" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="50.440136" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.641384" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.554821" y="-8.75">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.80632" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="80.972458" y="-8.75">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="90.699799" y="-8.75">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.74018" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="113.26771" y="-8.75">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="125.3081" y="-8.75">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="131.5596" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="246.58" y="-25.709999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="250.7435" y="-25.709999">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="256.995" y="-25.709999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="260.12076" y="-25.709999">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="266.37225" y="-25.709999">
)</gydF4y2Batspan>
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</svg></span>在哪里<年代vghe我ght="11.0125" id="M97" style="vertical-align:-0.17555pt;width:54.987499px;" version="1.1" viewbox="0 0 54.987499 11.0125" width="54.987499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0125)">
<g transform="translate(72,-63.19)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.37845" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.418839" y="0">
ℎ</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.633072" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.108906" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba初边值问题的解(<一个href="#EEq4.1">4所示。1</一个>)- (<一个href="#EEq4.4">4所示。3</一个>)的形式<年代p一个ncl作为年代="equation" id="EEq4.5">
<svg height="38.387501" id="M98" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.3875)">
<g transform="translate(72,-41.29)">
<text transform="matrix(1,0,0,-1,102.57,52.96)">
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">
=</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,131.96,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,137.67,45.26)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,144.67,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,155.36,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.678522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.955029" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.156277" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.557812" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.809311" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,203.84,49.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,210.7,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.271224" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.472472" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.71147" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.92522" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.201725" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.402973" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.104584" y="0.0099999998">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.444801" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="61.84634" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="68.085335" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="74.361839" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="81.013435" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.377945" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="96.029541" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="102.43108" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="254.05" y="-0.55000001">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="258.2135" y="-0.55000001">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="264.465" y="-0.55000001">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="267.59076" y="-0.55000001">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="273.84225" y="-0.55000001">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>基本的解决方案<年代vghe我ght="16.775" id="M99" style="vertical-align:-4.74141pt;width:75.037498px;" version="1.1" viewbox="0 0 75.037498 16.775" width="75.037498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.775)">
<g transform="translate(72,-58.58)">
<text transform="matrix(1,0,0,-1,-71.95,63.36)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-62.29,60.23)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,-57.51,63.36)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.465971" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.408978" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.322414" y="0">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg>满足以下方程<年代p一个ncl作为年代="equation" id="EEq4.6">
<svg height="75.025002" id="M100" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 75.025002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,75.025)">
<g transform="translate(72,-11.98)">
<text transform="matrix(1,0,0,-1,81.14,60.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,87.53,65.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,92.97,60.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,102.63,57.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 81.14,52.73 26.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,86.41,40.85)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,96.71,44.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,112.08,49.6)">
<tspan style="font-size: 12.50px; " x="20.4" y="9.7299995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.690001" y="-10.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,150.16,65.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,155.04,60.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,164.7,57.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 143.77,52.73 25.71,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,148.44,40.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,159.93,43.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,173.45,49.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.54" y="-7.25">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 185.99,52.73 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,186.57,40.85)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.23" y="-19.49">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.619034" y="-19.49">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,214.86,57.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 198.8,52.73 20.83,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,203.47,40.85)">
<tspan style="font-size: 12.50px; " x="20.139999" y="-8.75">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.68" y="-19.49">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,242.54,65.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,247.41,60.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,257.07,57.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 236.15,52.73 25.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,240.25,40.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,252.88,43.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,263.05,39.87)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.18" y="-9.7299995">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-183.10001" y="24.09">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-173.38516" y="24.09">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-161.34479" y="24.09">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-152.76772" y="24.09">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-140.73984" y="24.09">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-129.16206" y="24.09">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-113.98341" y="24.09">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-104.25608" y="24.09">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-92.228195" y="24.09">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-82.513367" y="24.09">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-70.472977" y="24.09">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-58.895199" y="24.09">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-43.729057" y="24.09">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-34.001724" y="24.09">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-21.961336" y="24.09">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-14.572063" y="24.09">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-2.5316739" y="24.09">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.0461044" y="24.09">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.212242" y="24.09">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.939575" y="24.09">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.979965" y="24.09">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="56.494987" y="24.09">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="68.535378" y="24.09">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="74.78688" y="24.09">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="201.7" y="1">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="205.86349" y="1">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="212.11501" y="1">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="215.24075" y="1">
5</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="221.49225" y="1">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在下列条件:<年代p一个ncl作为年代="equation" id="EEq4.7">
<svg height="156.52499" id="M101" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 156.52499" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,156.525)">
<g transform="translate(72,53.22)">
<text transform="matrix(1,0,0,-1,110.2,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.37677" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.417158" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.668659" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.920158" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.79681" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.048309" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.299809" y="0">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.551308" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.802811" y="0">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.530144" y="0">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="93.347397" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,213.22,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,221.47,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.458027" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.185364" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.22575" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.740776" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="77.781166" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="84.032661" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-115.66" y="33.029999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-108.28323" y="33.029999">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-96.242844" y="33.029999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-89.991341" y="33.029999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-83.739838" y="33.029999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-76.86319" y="33.029999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-70.611694" y="33.029999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-64.360191" y="33.029999">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-58.108692" y="33.029999">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-51.857189" y="33.029999">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-42.129856" y="33.029999">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-21.110001" y="22.290001">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-14.720967" y="22.290001">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,216.42,37.79)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 200.36,33.3 20.84,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,205.63,21.42)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.23" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.27039" y="-8.75">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.521889" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.688026" y="-8.75">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.415363" y="-8.75">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="75.45575" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="85.970772" y="-8.75">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.011162" y="-8.75">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="104.26266" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-145.11" y="28.43">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-135.40767" y="28.43">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-123.36729" y="28.43">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-113.63995" y="28.43">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-89.64669" y="28.43">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-78.731575" y="28.43">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,136.57,-10.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,144.12,-7.01)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,165.53,-2.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.37112" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-0.19" y="9.1099997">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.2864799" y="9.1099997">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,182.53,3.73)">
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</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
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<text transform="matrix(1,0,0,-1,198.59,0.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
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<g>
<path d="m 182.53,-3.89 20.83,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,186.63,-15.77)">
<tspan style="font-size: 12.50px; " x="21.4" y="-8.7600002">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.639999" y="-16.01">
1</gydF4y2Batspan>
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</gydF4y2Batspan>
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</gydF4y2Batspan>
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<g>
<path d="m 221.27,-3.89 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,221.84,-15.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.8699999" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.234507" y="-8.7600002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.398006" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.287399" y="-8.7600002">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.627621" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.904125" y="-8.7600002">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.143124" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.520134" y="-8.7600002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.683632" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="67.597069" y="-8.7600002">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.848572" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.014709" y="-8.7600002">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.742043" y="-8.7600002">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="110.78243" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="121.30996" y="-8.7600002">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="133.33784" y="-8.7600002">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="139.58934" y="-8.7600002">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-161.32001" y="28.469999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-151.61768" y="28.469999">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-139.57729" y="28.469999">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-129.84995" y="28.469999">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-110.03269" y="28.469999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-99.117577" y="28.469999">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,132.4,-47.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,139.95,-44.24)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,158.42,-39.24)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,175.43,-33.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,191.48,-36.62)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 175.43,-41.11 20.83,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,179.53,-52.99)">
<tspan style="font-size: 12.50px; " x="21.4" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.630001" y="-16">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 214.16,-41.11 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,214.73,-52.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.8800001" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.244507" y="-8.75">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.408007" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.284897" y="-8.75">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="38.625118" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.901623" y="-8.75">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.153122" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="59.530132" y="-8.75">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="63.69363" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="67.607071" y="-8.75">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.846069" y="-8.75">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="89.024712" y="-8.75">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.752045" y="-8.75">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="110.77993" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="121.30746" y="-8.75">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="133.34784" y="-8.75">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="139.59935" y="-8.75">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="250.02" y="-59.259998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="254.1835" y="-59.259998">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="260.435" y="-59.259998">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="263.56076" y="-59.259998">
6</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="269.81226" y="-59.259998">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>关于时间的拉普拉斯变换<年代vghe我ght="9.125" id="M102" style="vertical-align:-0.11285pt;width:5.0124998px;" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.125)">
<g transform="translate(72,-64.7)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>会导致以下方程:<年代p一个ncl作为年代="equation" id="EEq4.10">
<svg height="48.1875" id="M103" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.1875)">
<g transform="translate(72,-33.45)">
<text transform="matrix(1,0,0,-1,16.57,49.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,22.07,54.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,27.5,49.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,37.17,54.91)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="8.4300003">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,45.72,49.6)">
<tspan style="font-size: 12.50px; " x="20.389999" y="9.7299995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.690001" y="-10.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,83.8,65.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,88.67,60.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,98.34,65.65)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="8.4300003">
</gydF4y2Batspan>
</text>
<g>
<path d="m 77.41,52.73 26,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,82.23,40.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,93.72,43.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,107.39,49.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.54" y="-7.25">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 119.93,52.73 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,120.5,40.85)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.0699997" y="-19.49">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.459033" y="-19.49">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,144.62,65.65)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="8.4300003">
</gydF4y2Batspan>
</text>
<g>
<path d="m 128.57,52.73 21.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,133.39,40.85)">
<tspan style="font-size: 12.50px; " x="20.280001" y="-8.75">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.82" y="-19.49">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,172.6,65.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,177.48,60.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,187.14,65.65)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="8.4300003">
</gydF4y2Batspan>
</text>
<g>
<path d="m 166.21,52.73 26.01,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,170.46,40.48)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,183.09,43.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,193.41,39.87)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.19" y="-9.7299995">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.356138" y="-9.7299995">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.083473" y="-9.7299995">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.111359" y="-9.7299995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="57.688416" y="-9.7299995">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="69.728806" y="-9.7299995">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="81.306587" y="-9.7299995">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="90.68383" y="-9.7299995">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="100.41117" y="-9.7299995">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="112.43906" y="-9.7299995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="122.15388" y="-9.7299995">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="134.19427" y="-9.7299995">
∞</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="145.77205" y="-9.7299995">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="155.14931" y="-9.7299995">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="164.87663" y="-9.7299995">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="176.91702" y="-9.7299995">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="187.43205" y="-9.7299995">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="199.47244" y="-9.7299995">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="205.72394" y="-9.7299995">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="271.34" y="-9.7299995">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="275.50351" y="-9.7299995">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="281.755" y="-9.7299995">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="284.88074" y="-9.7299995">
7</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="291.13226" y="-9.7299995">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>和如下边界条件:<年代p一个ncl作为年代="equation" id="EEq4.11">
<svg height="36.5" id="M104" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.5" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,36.5)">
<g transform="translate(72,-42.8)">
<text transform="matrix(1,0,0,-1,92.95,51.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7023277" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.470051" y="0">
∶</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.287308" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,149.75,56.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,165.55,51.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.915119" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,186.13,57.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="8.4399996">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,193.99,51.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.54" y="-10.74">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.916531" y="-10.74">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,222.58,67.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="8.4399996">
</gydF4y2Batspan>
</text>
<g>
<path d="m 206.53,54.9 21.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,210.78,43.03)">
<tspan style="font-size: 12.50px; " x="21.540001" y="-8.75">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.779999" y="-16">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3765302" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 245.56,54.9 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,246.13,43.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.04" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.404507" y="-8.75">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.568007" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.457399" y="-8.75">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="42.797619" y="-8.75">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.074127" y="-8.75">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="55.313122" y="-8.75">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,306.96,56.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9273758" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.922496" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,322.76,51.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="141.99001" y="-2.5">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="146.1535" y="-2.5">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="152.405" y="-2.5">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="155.53075" y="-2.5">
8</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="161.78224" y="-2.5">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>在这种情况下,内核的sin-cos-Fourier变换的空间坐标<年代vghe我ght="7.375" id="M105" style="vertical-align:-0.17555pt;width:7.9250002px;" version="1.1" viewbox="0 0 7.9250002 7.375" width="7.9250002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.375)">
<g transform="translate(72,-66.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>取决于变量的拉普拉斯变换<年代vghe我ght="7.1875" id="M106" style="vertical-align:-0.13794pt;width:7px;" version="1.1" viewbox="0 0 7 7.1875" width="7" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg><span class="equation" id="EEq4.12">
<svg height="53.75" id="M107" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 53.75" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,53.75)">
<g transform="translate(72,-29)">
<text transform="matrix(1,0,0,-1,100.93,52.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.603024" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.766523" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.00552" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.219271" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="34.258221" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.459469" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.960789" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="52.600121" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.839996" y="-8.3000002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="73.954445" y="-8.3000002">
c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="79.505775" y="-8.3000002">
o</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="85.757278" y="-8.3000002">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="98.960449" y="-8.3000002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="103.12395" y="-8.3000002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="109.36295" y="-8.3000002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="115.40189" y="-8.3000002">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="122.34106" y="-8.3000002">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="133.68127" y="-8.3000002">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,240.12,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,255.93,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.115887" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="18.979553" y="0">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.455387" y="0">
n</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.046391" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.209888" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.448887" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="53.487835" y="0">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 166.77,55.86 146.82,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,196.09,32.74)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 209.31,51.73 74.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,209.31,35.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,215.35,40.3)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,223,35.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.34" y="2.52">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.190001" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,245.69,38.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,261.5,35.23)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.04" y="2.52">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,279.39,42.76)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,314.78,52.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="149.97" y="5.3600001">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="154.1335" y="5.3600001">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="160.38499" y="5.3600001">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="163.51074" y="5.3600001">
9</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="169.76225" y="5.3600001">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在我们得到的变换域<年代p一个ncl作为年代="equation" id="EEq4.13">
<svg height="52.4375" id="M108" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.4375" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,52.4375)">
<g transform="translate(72,-30.05)">
<text transform="matrix(1,0,0,-1,98.95,53.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,108.61,59.09)">
<tspan style="font-size: 8.75px; " x="0" y="8.4399996">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.5772958" y="0">
∗</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.1545916" y="0">
∗</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,126.32,53.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.880001" y="-9.2600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="40.156506" y="-9.2600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="46.182953" y="-9.2600002">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,179.26,59.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,186.22,63.05)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.691505" y="0">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 139.55,56.91 88.18,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,139.55,33.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<g>
<path d="m 152.77,52.78 74.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,152.77,36.28)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,158.8,41.35)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,166.46,36.28)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.34" y="2.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.190001" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,189.15,39.72)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,204.96,36.28)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.04" y="2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,222.85,43.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,264.27,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,269.77,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 234.28,56.91 81.29,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,234.28,43.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,239.79,46.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,248,43.03)">
<tspan style="font-size: 12.50px; " x="19.700001" y="2.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.549999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,279.59,48.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,287.24,43.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,304.84,46.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,309.71,40.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.0500002" y="-13.26">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="148.78" y="-7.3800001">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="152.9435" y="-7.3800001">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="159.19499" y="-7.3800001">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="162.32076" y="-7.3800001">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="168.57225" y="-7.3800001">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="174.82375" y="-7.3800001">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>反演的拉普拉斯变换(<一个href="#EEq4.13">4.10</一个>)的值取决于<年代vghe我ght="7.1750002" id="M109" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
</g>
</g>
</svg>。为<年代vghe我ght="12.3" id="M110" style="vertical-align:-1.29163pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 12.3" width="63.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
0</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.323135" y="0">
1</gydF4y2Batspan>
</text>
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<tspan style="font-size: 12.50px; " x="178.13374" y="-46.98">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>而对于<年代vghe我ght="12.3" id="M112" style="vertical-align:-1.29163pt;width:63.349998px;" version="1.1" viewbox="0 0 63.349998 12.3" width="63.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">
<</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
≤</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="44.323135" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>,我们得到<年代p一个ncl作为年代="equation" id="EEq4.15">
<svg height="139.66251" id="M113" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 139.66251" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,139.6625)">
<g transform="translate(72,39.73)">
<text transform="matrix(1,0,0,-1,1.42,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,11.08,49.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,17.94,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.271224" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.472472" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.71147" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.912718" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.189224" y="0.0099999998">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.402973" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.316414" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.955746" y="0.0099999998">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="62.189999" y="-7.2399998">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="68.441498" y="-7.2399998">
</gydF4y2Batspan>
</text>
<g>
<path d="m 80.13,56.09 12.53,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,82.6,44.21)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.26" y="-1.05">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,104.84,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,115.52,45.26)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,122.52,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,132.4,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,139.15,49.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,146.11,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2612238" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.512724" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75172" y="0.0099999998">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,174.62,49.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,181.58,52.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.446506" y="0.0099999998">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.685503" y="0.0099999998">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.100502" y="0.0099999998">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,217.62,49.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,225.13,50.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.719999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.57" y="-2.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.79" y="-2.51">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.354555" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,258.74,58.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,266.39,52.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,283.99,57.96)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,288.86,50.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,303.2,57.96)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,308.63,50.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-232.46001" y="37.360001">
×</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-219.60001" y="44.689999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-204.07001" y="29.059999">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,110.6,26.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<g>
<path d="m 101.56,16.21 16.91,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,101.56,2.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,113.6,7.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,119.67,13.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.840101" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.192825" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.59436" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,152.43,18.26)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.3121281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.307248" y="0">
3</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,176.78,13.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,185.71,9.96)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.3033762" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.298496" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="19.674496" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="21.862495" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="26.238497" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="31.174623" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="37.169743" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,229.84,5.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3600001" y="-7.3299999">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="19.120001" y="-15.63">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,255,26.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<g>
<path d="m 245.96,16.21 16.91,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,245.96,2.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,258,7.41)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,264.07,13.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.840101" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.192825" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.59436" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,296.83,18.26)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.3121281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.307248" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,317.01,5.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-220.41" y="32.400002">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="-207.64999" y="24.1">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.4399996" y="-7.3299999">
c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.991332" y="-7.3299999">
o</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.242832" y="-7.3299999">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="33.433498" y="-7.3299999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.596996" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.835995" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="49.874943" y="-7.3299999">
)</gydF4y2Batspan>
</text>
<g>
<path d="m 106.36,-23.51 12.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,106.36,-35.39)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="17.4" y="-8.7600002">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.563499" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.252604" y="-8.7600002">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="39.592827" y="-8.7600002">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="45.994362" y="-8.7600002">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,156.52,-21.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.9361281" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.931248" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,172.33,-26.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,181.26,-29.76)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="9.3033762" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="15.298496" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="19.674496" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="21.862495" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="26.798624" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="32.793743" y="0">
1</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,221.02,-33.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.3499999" y="-7.3299999">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.110001" y="-14.58">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,249.17,-14.39)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<g>
<path d="m 237.13,-23.51 16.91,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,240.13,-37.39)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,246.17,-32.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,255.24,-26.63)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.852604" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.192825" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.59436" y="0">
)</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,288,-21.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.37112" y="0">
2</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="14.74712" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,308.18,-33.97)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="51.970001" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="8.4399996" y="-7.3299999">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.303667" y="-7.3299999">
我</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.779501" y="-7.3299999">
n</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.358" y="-7.3299999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.5215" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.760494" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="47.799442" y="-7.3299999">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="65.379997" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="72.031593" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="80.508629" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="87.160225" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="95.287178" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="101.93877" y="-7.3299999">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="108.19027" y="-7.3299999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="150.31" y="-46.98">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="154.4735" y="-46.98">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="160.72501" y="-46.98">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="163.85075" y="-46.98">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="170.10225" y="-46.98">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="176.35374" y="-46.98">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>获得物理诺伊曼边界条件下的基本解<年代vghe我ght="10.9125" id="M114" style="vertical-align:-0.17555pt;width:40.974998px;" version="1.1" viewbox="0 0 40.974998 10.9125" width="40.974998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.37845" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.418839" y="0">
0</gydF4y2Batspan>
</text>
</g>
</g>
</svg>作为<年代p一个ncl作为年代="equation" id="EEq4.16">
<svg height="36.887501" id="M115" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,36.8875)">
<g transform="translate(72,-42.49)">
<text transform="matrix(1,0,0,-1,21.77,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,31.43,51.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,38.29,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.465971" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="20.704967" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.195225" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="37.408978" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.322414" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.961746" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="62.200001" y="-7.25">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="68.4515" y="-7.25">
</gydF4y2Batspan>
</text>
<g>
<path d="m 100.49,57.28 12.52,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,102.95,45.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.26" y="-1.05">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,125.19,68.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="0" y="25.530001">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,133.79,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,142.72,51.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,150.24,51.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.709999" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="27.559999" y="-2.51">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.7800002" y="-2.51">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="13.344555" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,183.84,59.23)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,191.49,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,209.09,59.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,213.96,51.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,225.81,59.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,231.24,51.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.8800001" y="-2.51">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,244.87,51.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,251.83,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.2647228" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.50372" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,280.34,51.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,287.3,54.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.679003" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.930502" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="31.270002" y="0">
c</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="36.821335" y="0">
o</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="43.072834" y="0">
年代</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="56.2635" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="60.426998" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="66.665993" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="72.704948" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="78.956444" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="85.60804" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="93.734993" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="100.38659" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="106.63808" y="0">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="171.19" y="0.039999999">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="175.3535" y="0.039999999">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="181.605" y="0.039999999">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="184.73074" y="0.039999999">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="190.98225" y="0.039999999">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="197.23375" y="0.039999999">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span></p>
<p>公式(<一个href="#EEq4.14">4.11</一个>)和(<一个href="#EEq4.15">4.12</一个>)简化为<年代vghe我ght="10.9125" id="M116" style="vertical-align:-0.17555pt;width:48.299999px;" version="1.1" viewbox="0 0 48.299999 10.9125" width="48.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.806911" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>和<年代vghe我ght="10.9125" id="M117" style="vertical-align:-0.17555pt;width:48.299999px;" version="1.1" viewbox="0 0 48.299999 10.9125" width="48.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
3</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="28.806911" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="32.282745" y="0">
2</gydF4y2Batspan>
</text>
</g>
</g>
</svg>分别考虑(<一个href="#EEq3.16">3.12</一个>),<gydF4y2Ba年代p一个ncl作为年代="equation" id="EEq4.17">
<svg height="39.75" id="M118" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 39.75" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,39.75)">
<g transform="translate(72,-40.2)">
<text transform="matrix(1,0,0,-1,121.99,56.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,130.92,53.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">
,</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="6.5640001" y="0">
1</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="10.94" y="0">
/</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="13.373056" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,151.25,53.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.414555" y="-2.52">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,172.54,61.25)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,177.41,53.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="9.3299999" y="-2.52">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="29.040001" y="-9.7700005">
1</gydF4y2Batspan>
</text>
<g>
<path d="m 199.97,59.37 19.21,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,199.97,43.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
√</gydF4y2Batspan>
</text>
<g>
<path d="m 211.57,55.25 7.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,211.57,44.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.89" y="-11.77">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="75.900002" y="-11.77">
]</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="82.150002" y="-11.81">
,</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="15.05" y="-11.81">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="24.077166" y="-11.81">
−</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="35.417385" y="-11.81">
2</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="41.668888" y="-11.81">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="48.545536" y="-11.81">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="60.698452" y="-11.81">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="64.861954" y="-11.81">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="71.738602" y="-11.81">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="246.92" y="-8.54">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="251.0835" y="-8.54">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="257.33499" y="-8.54">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="260.46075" y="-8.54">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="266.71225" y="-8.54">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="272.96375" y="-8.54">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>在哪里<年代p一个ncl作为年代="equation" id="EEq4.18">
<svg height="37.012501" id="M119" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 37.012501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,37.0125)">
<g transform="translate(72,-42.39)">
<text transform="matrix(1,0,0,-1,156.29,54.06)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="12.140413" y="0">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="16.303911" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="23.180561" y="0">
)</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="30.819895" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="42.860283" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,204.72,59.06)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,215.53,62.56)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,221.73,46.37)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,228.74,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 8.75px; " x="-1.25" y="25.52">
0</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,236.13,54.06)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,241.69,59.06)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,245.84,62.56)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</gydF4y2Batspan>
</text>
<text transform="matrix(1,0,0,-1,249.97,54.06)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="208.52" y="-0.0099999998">
(</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="212.6835" y="-0.0099999998">
4</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="218.935" y="-0.0099999998">
。</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="222.06075" y="-0.0099999998">
1</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="228.31226" y="-0.0099999998">
5</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="234.56375" y="-0.0099999998">
)</gydF4y2Batspan>
</text>
</g>
</g>
</svg></span>是道森积分。</p><h4gydF4y2Baid="conclusion">5。结论</h4><p>gydF4y2Ba我们有派生time-fractional热传导方程的解析解在楼梯下罗宾数学和物理边界条件。积分变换技术已被使用。应该强调,在罗宾物理边界条件的情况下,积分变换的顺序是重要的内核sin-cos-Fourier变换取决于变量的拉普拉斯变换。极限情况下<年代vghe我ght="10.9125" id="M120" style="vertical-align:-0.17555pt;width:40.974998px;" version="1.1" viewbox="0 0 40.974998 10.9125" width="40.974998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="14.37845" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="26.418839" y="0">
0</gydF4y2Batspan>
</text>
</g>
</g>
</svg>对应的解决方案的问题在数学和物理诺伊曼边界条件的规定边界值法向导数和规定的热流的边界值,分别。数学和物理边界条件之间的差别(以及解决方案)的区别消失在标准的情况下热传导方程(<年代vghe我ght="10.85" id="M121" style="vertical-align:-0.1254pt;width:36.137501px;" version="1.1" viewbox="0 0 36.137501 10.85" width="36.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.85)">
<g transform="translate(72,-63.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">
=</gydF4y2Batspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">
1</gydF4y2Batspan>
</text>
</g>
</g>
</svg>)。</p></d我v></d我v><d我v class="ArticleReferences_xmlContent__p_40j">
<h4 class="ArticleReferences_references__GH2t_" id="references">引用</h4><olcl作为年代="ArticleReferences_orderedReferences__mJr9M">
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<a href="https://doi.org/10.1016/j.nonrwa.2011.10.001" target="_blank" rel="noreferrer">出版商的网站</一个><年代p一个ncl作为年代="sep">|</年代p一个n><一个href="https://scholar.google.com/scholar_lookup?title=Central%20symmetric%20solution%20to%20the%20Neumann%20problem%20for%20a%20time-fractional%20diffusion-wave%20equation%20in%20a%20sphere&author=Y.%20Z.%20Povstenko&publication_year=2012" target="_blank" rel="noreferrer">谷歌学术搜索</一个><年代p一个ncl作为年代="sep">|</年代p一个n><一个href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1239.76057" target="_blank" rel="noreferrer">Zentralblatt数学</一个></d我v></l我>
<li class="ArticleReferences_articleReference__ouEuh" id="B24">
<div class="referenceContent">
<p class="referenceText">杨x”,当地部分积分变换,”<我>非线性科学的进展</我>4卷,页1 - 225,2011。</p>gydF4y2Ba视图:<gydF4y2Ba!-- -->
<a href="https://scholar.google.com/scholar_lookup?title=Local%20fractional%20integral%20transforms&author=X.%20Yang&publication_year=2011" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></l我>
<li class="ArticleReferences_articleReference__ouEuh" id="B25">
<div class="referenceContent">
<p class="referenceText">a . s . Galitsyn和a . n . Zhovsky<我>积分变换和热传导问题的特殊功能</我>,Naukova Dumka,基辅,乌克兰,1976(俄罗斯)。</p></d我v></l我>
<li class="ArticleReferences_articleReference__ouEuh" id="B26">
<div class="referenceContent">
<p class="referenceText">a . p . Prudnikov。答:Brychkov, o . i Marichev<我>积分和级数。特殊功能</我>Nauka,莫斯科,俄罗斯,1983(俄罗斯)。</p></d我v></l我>
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</ol>
</div>
<h4 class="copyright-title" id="copyright">版权</h4><d我vcl作为年代="copyright-body">
版权©2012 y z Povstenko。这是一个开放的分布式下文章<一个rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</d我v><d我v我d="related-articles"></div>
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2022年</d我v></d我v><d我v><年代pan>下载</年代p一个n><d我vcl作为年代="articleToolbarStatistics_amount__vJIDp">
1348年</d我v></d我v></d我v></div>
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