-Bernoulli numbers and the Bernoulli polynomials in (2005), (2001),
respectively. However, they have not dealt with congruence properties for these
numbers entirely. Kupershmidt gave a quantization of the reflection symmetry
for the classical Bernoulli polynomials. Tuenter derived a symmetry of power
sum polynomials and the classical Bernoulli numbers. In this paper, we study
the new symmetries of the -Bernoulli numbers and polynomials, which are
different from Kupershmidt's and Tuenter's results. By using our symmetries
for the -Bernoulli polynomials, we can obtain some interesting relationships
between -Bernoulli numbers and polynomials.">
伯努利方程的对称多项式</t我tle>
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<a class="TableOfContents_tableOfContents__item__JJil1" href="#abstract">文摘</一个>
<a class="TableOfContents_tableOfContents__item__JJil1" href="#introduction">介绍</一个>
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<strong>研究文章|<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->开放获取</年代trong>
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<span>体积<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->2008年<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->|</年代p一个n>
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<span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/2008/914367" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/2008/914367</一个></span>
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<button class="simpleShowMore__button">显示引用</buttogydF4y2Ban>
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<h1 class="articleHeader__title">的对称性<年代vg style="vertical-align:-3.294pt;width:11.2875px;" id="M1" height="14.1125" version="1.1" viewbox="0 0 11.2875 14.1125" width="11.2875" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-60.71)">
<text transform="matrix(1,0,0,-1,-71.95,64.04)">
<tspan style="font-size: 17.93px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式</h1gydF4y2Ba>
<div class="articleHeader__authors">
<span class="articleHeader__authors_author"><strong>Taekyun金</年代trong><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon">
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<strong>学术编辑器:</年代trong>
<span>Ferhan Merdivenci Atici</年代p一个n>
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<strong>收到了</年代trong>
<span>2008年6月25日</年代p一个n>
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<strong>接受</年代trong>
<span>2008年8月29日</年代p一个n>
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<strong>发表</年代trong>
<span>2008年10月12日</年代p一个n>
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<h4 class="header" id="abstract">文摘</h4gydF4y2Ba>
<p>Kupershmidt和Tuenter引入反射对称的<年代vg height="9.875" id="M2" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数和伯努利多项式(2005),(2001)。然而,他们没有处理这些数字完全一致属性。Kupershmidt了量子化的反射对称古典伯努利多项式。Tuenter权力派生一个对称多项式和经典的伯努利数。在本文中,我们研究的新对称性<年代vg height="9.875" id="M3" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数和多项式,这不同于Kupershmidt和Tuenter的结果。通过使用我们的对称性<年代vg height="9.875" id="M4" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式,我们可以获得一些有趣的关系<年代vg height="9.875" id="M5" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数字和多项式。</pgydF4y2Ba>
<span class="end-abs"></span>
<h4 id="introduction">1。介绍</h4gydF4y2Ba>
<p>让<年代vg height="9.875" id="M6" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>是一个固定的总理。在这篇文章中,<年代vg height="16.375" id="M7" style="vertical-align:-4.74141pt;width:17.4625px;" version="1.1" viewbox="0 0 17.4625 16.375" width="17.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.375)">
<g transform="translate(72,-58.9)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.86,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>,<年代vg height="16.6" id="M8" style="vertical-align:-4.74141pt;width:18.049999px;" version="1.1" viewbox="0 0 18.049999 16.6" width="18.049999" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℚ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.39,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>,<年代vg height="10.9125" id="M9" style="vertical-align:-0.17555pt;width:11.1375px;" version="1.1" viewbox="0 0 11.1375 10.9125" width="11.1375" 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">
ℂ</t年代p一个n>
</text>
</g>
</g>
</svg>,<年代vg height="16.6" id="M10" style="vertical-align:-4.74141pt;width:17.112499px;" version="1.1" viewbox="0 0 17.112499 16.6" width="17.112499" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℂ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-63.14,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>将分别表示的戒指吗<年代vg height="9.875" id="M11" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进理性的整数,领域<年代vg height="9.875" id="M12" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进有理数、复数域和完成代数关闭<年代vg height="16.6" id="M13" style="vertical-align:-4.74141pt;width:18.049999px;" version="1.1" viewbox="0 0 18.049999 16.6" width="18.049999" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℚ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.39,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>。的<年代vg height="9.875" id="M14" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进的绝对值<年代vg height="16.6" id="M15" style="vertical-align:-4.74141pt;width:17.112499px;" version="1.1" viewbox="0 0 17.112499 16.6" width="17.112499" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℂ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-63.14,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>归一化,<年代vg height="19.674999" id="M16" style="vertical-align:-4.74141pt;width:64.512497px;" version="1.1" viewbox="0 0 64.512497 19.674999" width="64.512497" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,19.675)">
<g transform="translate(72,-56.26)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
|</t年代p一个n>
<tspan style="font-size: 12.50px; " x="2.5006001" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.6145668" y="0">
|</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-60.83,57.91)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-52.58,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
<</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-34.43,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-23.56,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
</g>
</g>
</svg>让<年代vg height="9.875" id="M17" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>被认为是一个不确定的、复杂的数字<年代vg height="13.55" id="M18" style="vertical-align:-2.29482pt;width:37.6875px;" version="1.1" viewbox="0 0 37.6875 13.55" width="37.6875" 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">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.1897049" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.230095" y="0">
ℂ</t年代p一个n>
</text>
</g>
</g>
</svg>,或者一个<年代vg height="9.875" id="M19" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进数量<年代vg height="16.6" id="M20" style="vertical-align:-4.74141pt;width:43.662498px;" version="1.1" viewbox="0 0 43.662498 16.6" width="43.662498" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.1897049" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.230095" y="0">
ℂ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-41.9,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>。如果<年代vg height="16.6" id="M21" style="vertical-align:-4.74141pt;width:43.662498px;" version="1.1" viewbox="0 0 43.662498 16.6" width="43.662498" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.1897049" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.230095" y="0">
ℂ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-41.9,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>,我们假设<年代vg height="16.6" id="M22" style="vertical-align:-4.74141pt;width:76.087502px;" version="1.1" viewbox="0 0 76.087502 16.6" width="76.087502" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
|</t年代p一个n>
<tspan style="font-size: 12.50px; " x="2.5006001" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.527766" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.867987" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="28.59436" y="0">
|</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-40.85,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-32.6,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
<</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">
。</t年代p一个n>
</text>
</g>
</g>
</svg>我们说<年代vg height="13.4875" id="M23" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.4875)">
<g transform="translate(72,-61.21)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>一致可微函数在一个点吗<年代vg height="16.375" id="M24" style="vertical-align:-4.74141pt;width:44.6875px;" version="1.1" viewbox="0 0 44.6875 16.375" width="44.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.375)">
<g transform="translate(72,-58.9)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.7398367" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.780226" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-41.07,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>,我们表示这个属性<年代vg height="16.6" id="M25" style="vertical-align:-4.74141pt;width:78.5px;" version="1.1" viewbox="0 0 78.5 16.6" width="78.5" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.402496" y="0">
∈</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-49.5,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
U</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
D</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-31.45,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-18.19,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-13.41,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>如果差异上,<年代p一个n class="displayed-label" id="am001">
<svg height="34.924999" id="M26" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.924999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,34.925)">
<g transform="translate(72,-44.06)">
<text transform="matrix(1,0,0,-1,77.79,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,85.51,52.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,95.39,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∶</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,114.35,52.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,121.9,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
×</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.777586" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,141.77,52.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,152.11,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
→</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.12911" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,178.33,52.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,203.03,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
b</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.0139432" y="0">
y</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,219.46,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,227.18,52.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,233.59,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.241398" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.442884" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.082218" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="43.32" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="50.259167" y="-8.3500004">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="54.422665" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="61.299313" y="-8.3500004">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="68.23848" y="-8.3500004">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="79.578697" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="86.517868" y="-8.3500004">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="90.681366" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="96.882851" y="-8.3500004">
)</t年代p一个n>
</text>
<g>
<path d="m 276.91,58.27 57.73,0" 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,-1,292.18,46.39)">
<tspan style="font-size: 12.50px; " x="43.66" y="-8.7600002">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6398134" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="20.992537" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,55.15)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>有一个限制<年代vg height="15.5625" id="M27" style="vertical-align:-2.34499pt;width:57.625px;" version="1.1" viewbox="0 0 57.625 15.5625" width="57.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.5625)">
<g transform="translate(72,-59.55)">
<text transform="matrix(1,0,0,-1,-71.95,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="7.4392848" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.479673" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-44.02,67.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-40.55,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>作为<年代vg height="13.55" id="M28" style="vertical-align:-2.29482pt;width:104.7875px;" version="1.1" viewbox="0 0 104.7875 13.55" width="104.7875" 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">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.241398" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.442884" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="36.333717" y="0">
→</t年代p一个n>
<tspan style="font-size: 12.50px; " x="57.638828" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="61.80233" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="68.078835" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="73.292587" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="79.569092" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>。的<年代vg height="9.875" id="M29" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进积分不变量在<年代vg height="16.375" id="M30" style="vertical-align:-4.74141pt;width:17.4625px;" version="1.1" viewbox="0 0 17.4625 16.375" width="17.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.375)">
<g transform="translate(72,-58.9)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.86,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>被定义为<年代p一个n class="displayed-label" id="am002">
<svg height="53.037498" id="M31" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 53.037498" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,53.0375)">
<g transform="translate(72,-29.57)">
<text transform="matrix(1,0,0,-1,110.34,45.95)">
<tspan style="font-size: 12.50px; " x="36.779999" y="7.6999998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.00144" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.164939" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.104103" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.730934" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,152.87,34.45)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,159.23,32.27)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,165.37,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.979315" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.142813" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="28.794409" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="39.134392" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="55.475811" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="58.951645" y="0">
我</t年代p一个n>
<tspan style="font-size: 12.50px; " x="62.427479" y="0">
米</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,216.55,38.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="9.6884642" y="0">
→</t年代p一个n>
<tspan style="font-size: 8.75px; " x="19.2544" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,251.49,53.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 247.19,49.08 14.85,0" 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,-1,247.19,37.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,253.31,40.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="9.9300003" y="-21.42">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,267.52,65.39)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,273.9,61.89)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,265.68,39.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,266.16,32.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.80872" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,284.27,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.979315" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>(<一个href="#B1">1</一个>- - - - - -<一个href="#B22">22</一个>]。从这个积分,我们进一步推导出几个有趣的属性的对称<年代vg height="9.875" id="M32" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数字和多项式。Kupershmidt [<一个href="#B14">14</一个>]和Tuenter [<一个href="#B20">20.</一个>]介绍了反射对称的<年代vg height="9.875" id="M33" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数和伯努利多项式。然而,他们没有处理这些数字完全一致属性。Kupershmidt了量子化的反射对称古典伯努利多项式。Tuenter权力派生一个对称多项式和经典的伯努利数。在本文中,我们研究的新对称性<年代vg height="9.875" id="M34" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数和多项式,这不同于Kupershmidt和Tuenter的结果。通过使用我们的对称性<年代vg height="9.875" id="M35" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式,我们可以获得一些有趣的关系<年代vg height="9.875" id="M36" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数字和多项式。</pgydF4y2Ba>
<h4 id="on-the-symmetries-of-the-
𝑞
-bernoulli-polynomials">2。的对称性<年代vg height="9.875" id="M37" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式</h4gydF4y2Ba>
<p>为<年代vg height="16.6" id="M38" style="vertical-align:-4.74141pt;width:78.5px;" version="1.1" viewbox="0 0 78.5 16.6" width="78.5" 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,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.402496" y="0">
∈</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-49.5,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
U</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
D</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-31.45,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-18.19,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-13.41,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>,<年代vg height="9.875" id="M39" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进积分不变量在<年代vg height="16.375" id="M40" style="vertical-align:-4.74141pt;width:17.4625px;" version="1.1" viewbox="0 0 17.4625 16.375" width="17.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.375)">
<g transform="translate(72,-58.9)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.86,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>被定义为<年代p一个n class="displayed-label" id="am003">
<svg height="53.037498" id="M41" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 53.037498" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,53.0375)">
<g transform="translate(72,-29.57)">
<text transform="matrix(1,0,0,-1,108.78,45.95)">
<tspan style="font-size: 12.50px; " x="36.779999" y="7.6999998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.00144" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.164939" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.104103" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.730934" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,151.31,34.45)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,157.67,32.27)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,163.81,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.979315" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.142813" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="28.794409" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="39.134392" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="55.475811" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="58.951645" y="0">
我</t年代p一个n>
<tspan style="font-size: 12.50px; " x="62.427479" y="0">
米</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,214.99,38.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="9.6884642" y="0">
→</t年代p一个n>
<tspan style="font-size: 8.75px; " x="19.2544" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,249.93,53.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 245.63,49.08 14.85,0" 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,-1,245.63,37.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,251.74,40.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="9.9300003" y="-21.42">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,265.95,65.39)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,272.33,61.89)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.11,39.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.6,32.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.80872" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,282.71,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.979315" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.142813" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>让<年代vg height="14.6" id="M42" style="vertical-align:-3.13504pt;width:33.900002px;" version="1.1" viewbox="0 0 33.900002 14.6" width="33.900002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-65.01,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-60.14,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>是一个翻译,<年代vg height="14.6" id="M43" style="vertical-align:-3.13504pt;width:106.425px;" version="1.1" viewbox="0 0 106.425 14.6" width="106.425" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-65.01,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-60.14,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.679482" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.707369" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="37.646534" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="41.810032" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="51.47485" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="62.815071" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="69.066574" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>。然后,我们有<年代p一个n class="displayed-label" id="eq1">
<svg height="17.3375" id="M44" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.3375" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.3375)">
<g transform="translate(72,-58.13)">
<text transform="matrix(1,0,0,-1,155.05,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.00144" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.164939" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,172.15,58.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,177.02,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="7.6393328" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.667219" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="25.668659" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.832157" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="36.771324" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="43.722992" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="55.063213" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,240.53,67.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,244,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
0</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="14.578498" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>从(<一个href="#eq1">2.2</一个>),我们也可以得到<年代p一个n class="displayed-label" id="eq2">
<svg height="50.950001" id="M45" 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,-1,105.62,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.00144" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.164939" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,122.72,44.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,127.57,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="7.6268301" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.667219" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="25.668659" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.832157" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="36.771324" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="43.710487" y="0">
+</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,183.35,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,182.63,41.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,184.16,33.89)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.87,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,209.31,52.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,212.78,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.0519323" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.215431" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.381571" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,248.61,52.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,252.09,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.0519323" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.678762" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="28.92" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="35.571594" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="42.510761" y="-8.3500004">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="46.674259" y="-8.3500004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="50.562695" y="-8.3500004">
)</t年代p一个n>
</text>
<g>
<path d="m 281.01,50.74 25.8,0" 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,-1,287.15,38.86)">
<tspan style="font-size: 12.50px; " x="20.860001" y="-8.7600002">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,47.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
3</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>让<年代vg height="15.5" id="M46" style="vertical-align:-2.34499pt;width:78.637497px;" version="1.1" viewbox="0 0 78.637497 15.5" width="78.637497" 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">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.979315" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="25.606144" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="37.646534" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-28.07,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-22.76,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-17.19,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7393761" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>,那么我们就有<年代p一个n class="displayed-label" id="eq3">
<svg height="40.299999" id="M47" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.299999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,40.3)">
<g transform="translate(72,-39.76)">
<text transform="matrix(1,0,0,-1,147.19,46.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,152.94,43.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,159.31,40.95)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,165.44,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,171.67,59.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,176.98,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,182.54,59.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7393761" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,192.68,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.991577" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.23" y="-8.7399998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="36.919106" y="-8.7399998">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="48.259327" y="-8.7399998">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="51.735161" y="-8.7399998">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="57.98666" y="-8.7399998">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="66.326164" y="-8.7399998">
</t年代p一个n>
</text>
<g>
<path d="m 222.91,57.77 42.33,0" 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,-1,226.63,45.89)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.7263741" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,237.92,49.33)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,243.93,45.89)">
<tspan style="font-size: 12.50px; " x="22.5" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
4</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>众所周知,<年代vg height="9.875" id="M48" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式定义为<年代p一个n class="displayed-label" id="eq4">
<svg height="48.262501" id="M49" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.2625)">
<g transform="translate(72,-33.39)">
<text transform="matrix(1,0,0,-1,139.5,58.51)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6766019" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.029325" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.505159" y="0">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.75666" y="0">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="36.083656" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 139.5,52.9 42.32,0" 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,-1,143.21,41.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.7263741" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,154.5,44.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,160.51,41.02)">
<tspan style="font-size: 12.50px; " x="22.51" y="-8.75">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,188.58,54.77)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.1,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,216.17,65.71)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,212.14,43.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,212.86,36.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,230.38,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,239.08,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,250.48,49.77)">
<tspan style="font-size: 12.50px; " x="17.209999" y="-7.25">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,271.6,62.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 266.88,52.9 10.37,0" 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,-1,266.88,41.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.2139912" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
5</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>(<一个href="#B17">17</一个>,<一个href="#B19">19</一个>]。现在我们定义一个积分表示<年代vg height="9.875" id="M50" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>扩展伯努利数如下:<年代p一个n class="displayed-label" id="eq5">
<svg height="48.262501" id="M51" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.2625)">
<g transform="translate(72,-33.39)">
<text transform="matrix(1,0,0,-1,114.13,42.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,119.89,38.27)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,126.25,36.09)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,132.39,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,138.61,54.77)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,143.92,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,149.49,54.77)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7393761" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,159.62,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.00408" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.24" y="-8.7399998">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="33.715836" y="-8.7399998">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="39.967335" y="-8.7399998">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="48.294331" y="-8.7399998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="56.796371" y="-8.7399998">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="68.136597" y="-8.7399998">
</t年代p一个n>
</text>
<g>
<path d="m 189.86,52.9 41.82,0" 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,-1,193.32,41.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.7263741" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,204.61,44.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,210.63,41.02)">
<tspan style="font-size: 12.50px; " x="25.719999" y="-8.75">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,252.41,65.71)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,248.39,43.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,249.1,36.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,266.63,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,275.33,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,288.73,57.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,292.64,62.02)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 287.92,52.9 10.38,0" 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,-1,287.92,41.02)">
<tspan style="font-size: 12.50px; " x="11.57" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.2139912" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
6</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>从(<一个href="#eq2">2.3</一个>),(<一个href="#eq3">2.4</一个>)和(<一个href="#eq5">2.6</一个>),我们可以推出<年代p一个n class="displayed-label" id="eq6">
<svg height="40.299999" id="M52" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.299999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,40.3)">
<g transform="translate(72,-39.76)">
<text transform="matrix(1,0,0,-1,81.2,46.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,86.95,43.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,93.31,40.95)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,99.45,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,105.68,59.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,110.52,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.803312" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="25.156036" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="31.357525" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,146.04,59.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,150.89,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.316416" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="28.356804" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,187.96,51.51)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,199.35,54.64)">
<tspan style="font-size: 12.50px; " x="40.34" y="7.6999998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.203648" y="0">
,</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,245.44,43.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,251.81,40.95)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,257.94,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.17,59.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,269.48,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,276.36,59.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,283.29,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.991577" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.031965" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,321.03,51.51)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,332.43,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
7</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>由(<一个href="#eq2">2.3</一个>),我们很容易看到<年代p一个n class="displayed-label" id="eq7">
<svg height="103.525" id="M53" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 103.525" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,103.525)">
<g transform="translate(72,10.82)">
<text transform="matrix(1,0,0,-1,28.7,60.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 10.91,56.81 41.83,0" 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,-1,10.91,44.93)">
<tspan style="font-size: 12.50px; " x="43.02" y="-8.75">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="47.18" y="-1.0599999">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.727334" y="0">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.054333" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.556372" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="37.909096" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,63.85,42.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,70.21,40)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,76.35,53.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,82.57,58.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,98.23,53.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,103.79,58.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="7.2641602" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.25928" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="18.07288" y="0">
)</t年代p一个n>
<tspan style="font-size: 8.75px; " x="20.987295" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,130.1,53.68)">
<tspan style="font-size: 12.50px; " x="27.65" y="7.6900001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.303911" y="0">
−</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,163.5,42.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,169.87,40)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,176,53.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,182.23,58.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,187.54,53.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,193.11,58.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,203.24,53.68)">
<tspan style="font-size: 12.50px; " x="34.400002" y="-8.3100004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.528246" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.155075" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,243.87,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,248.71,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,254.28,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.64,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 237.64,56.81 44.6,0" 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,-1,238.78,44.93)">
<tspan style="font-size: 12.50px; " x="46.740002" y="-1.0599999">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6766019" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.029325" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.505159" y="0">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.75666" y="0">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="36.083656" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,291.27,42.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,297.63,40)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,303.77,53.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,310,58.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,315.31,53.68)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,320.87,58.69)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,331.01,53.68)">
<tspan style="font-size: 12.50px; " x="30.23" y="-8.3100004">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.991577" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,367.47,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,372.32,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,377.88,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,388.25,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 361.24,56.81 44.6,0" 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,-1,366.09,44.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.7263741" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,377.38,48.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,383.4,44.93)">
<tspan style="font-size: 12.50px; " x="-158.99001" y="39.369999">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,237.16,21.5)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,236.44,-1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,237.97,-8.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,254.68,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,260.91,10.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.13,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,269.69,10.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,279.13,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,295.19,21.5)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,291.16,-1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,291.68,-8.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.738704" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,307.32,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,312.2,21.5)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,311.48,-1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,313.01,-8.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,329.72,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,333.61,10.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,338.85,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,345.08,10.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,348.3,5.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.25" y="-7.25">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,358.46,17.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 353.65,8.68 10.95,0" 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,-1,353.65,-3.2)">
<tspan style="font-size: 12.50px; " x="12.14" y="-8.7600002">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.7766261" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,27.46)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
8</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>在(<一个href="#eq1">2.2</一个>),不难证明<年代p一个n class="displayed-label" id="eq8">
<svg height="52.525002" id="M54" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.525002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,52.525)">
<g transform="translate(72,-29.98)">
<text transform="matrix(1,0,0,-1,78.53,55.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 60.74,50.99 41.82,0" 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,-1,60.74,39.11)">
<tspan style="font-size: 12.50px; " x="43.02" y="-8.75">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="47.18" y="-1.0599999">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.727334" y="0">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.054333" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.556372" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="37.909096" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,113.67,36.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,120.04,34.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,126.17,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,132.4,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,148.06,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,153.62,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="7.2641602" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.25928" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="18.07288" y="0">
)</t年代p一个n>
<tspan style="font-size: 8.75px; " x="20.987295" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,179.93,47.86)">
<tspan style="font-size: 12.50px; " x="27.65" y="7.6900001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.303911" y="0">
−</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,213.33,36.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,219.7,34.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,225.83,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,232.06,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,237.37,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,242.94,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,253.07,47.86)">
<tspan style="font-size: 12.50px; " x="34.599998" y="-13.81">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="42.900002" y="-13.79">
∫</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.528246" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.155075" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,299.42,57.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,305.78,55.02)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,311.92,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,317.48,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,325.53,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,331.76,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,339.16,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 287.47,50.99 65.42,0" 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,-1,287.47,37.8)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,290.92,33.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,297.28,31.17)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,303.42,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,308.98,41.26)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="9.1633444" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,321.38,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,327.61,41.26)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,339.36,37.82)">
<tspan style="font-size: 12.50px; " x="14.72" y="-10.04">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,464.75,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
9</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>对于每一个整数<年代vg height="12.3" id="M55" style="vertical-align:-1.29163pt;width:35.799999px;" version="1.1" viewbox="0 0 35.799999 12.3" width="35.799999" 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">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.239957" y="0">
≥</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.280346" y="0">
0</t年代p一个n>
</text>
</g>
</g>
</svg>,让<年代p一个n class="displayed-label" id="eq9">
<svg height="19.799999" id="M56" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.799999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,19.8)">
<g transform="translate(72,-56.16)">
<text transform="matrix(1,0,0,-1,109.84,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,117.96,57.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.9315839" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,129.75,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.37749" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.00432" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.044708" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.06,66.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,174.08,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,191.67,66.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,196.91,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.5020399" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.84226" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,223.01,66.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,228.25,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,234.48,65.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,242.13,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
⋯</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.781666" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="39.121887" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,287.49,65.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,292.33,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,298.55,65.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,303.79,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,60.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
0</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>从(<一个href="#eq7">2.8</一个>)和(<一个href="#eq8">2.9</一个>),我们得到<年代p一个n class="displayed-label" id="eq10">
<svg height="52.525002" id="M57" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.525002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,52.525)">
<g transform="translate(72,-29.98)">
<text transform="matrix(1,0,0,-1,30.39,55.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 12.61,50.99 41.82,0" 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,-1,12.61,39.11)">
<tspan style="font-size: 12.50px; " x="43.02" y="-8.75">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="47.18" y="-8.7299995">
∫</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.727334" y="0">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.054333" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.556372" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="37.896591" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,63.24,43.4)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,69.6,41.21)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,75.74,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,81.97,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,97.62,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,103.19,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="7.2641602" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.25928" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="18.07288" y="0">
)</t年代p一个n>
<tspan style="font-size: 8.75px; " x="20.987295" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,129.5,47.86)">
<tspan style="font-size: 12.50px; " x="27.65" y="0.02">
∫</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.291409" y="0">
−</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,160.6,43.4)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.96,41.21)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,173.1,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,179.32,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,184.64,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,190.2,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.33,47.86)">
<tspan style="font-size: 12.50px; " x="34.599998" y="-13.81">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="42.900002" y="-13.79">
∫</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.528246" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.16758" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,246.68,57.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,253.05,55.02)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,259.18,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.75,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,272.8,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,279.02,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.42,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 234.73,50.99 65.42,0" 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,-1,234.73,37.8)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,238.18,33.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,244.55,31.17)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,250.68,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,256.25,41.26)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="9.1633444" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,268.65,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,274.88,41.26)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.62,37.82)">
<tspan style="font-size: 12.50px; " x="18.200001" y="-10.04">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,320.36,61.13)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,318.7,47.84)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,316.86,36.81)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.738704" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,334.05,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,342.18,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.9315839" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,353.97,47.86)">
<tspan style="font-size: 12.50px; " x="37" y="-7.25">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.153156" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.493378" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.744877" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,394.89,60.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 390.08,50.99 10.94,0" 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,-1,390.08,39.11)">
<tspan style="font-size: 12.50px; " x="12.14" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.7766261" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>从(<一个href="#eq10">2.11</一个>),我们注意到<年代p一个n class="displayed-label" id="eq11">
<svg height="16.975" id="M58" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.975" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.975)">
<g transform="translate(72,-58.42)">
<text transform="matrix(1,0,0,-1,35.73,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,44.43,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.9315839" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,56.22,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.37749" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.316654" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="28.656876" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,93.58,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.9315839" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,108.84,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.817015" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,135.79,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.738704" y="0">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.114704" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="17.302704" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,157.94,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.153156" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.493378" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.744877" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="37.696545" y="0">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="49.036766" y="0">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="52.5126" y="0">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="58.764099" y="0">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="67.091095" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="72.817474" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,238.9,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.7435842" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.9315839" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,250.69,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.140653" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.493378" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="30.744877" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="34.908375" y="0">
,</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,300.77,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
w</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">
h</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.278666" y="0">
e</t年代p一个n>
<tspan style="font-size: 12.50px; " x="20.829998" y="0">
r</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.980993" y="0">
e</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,335.46,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.7766261" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.977874" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.6677" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="33.708088" y="0">
ℕ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,377.9,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="80.589996" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="84.753502" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="91.004997" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="94.130753" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="100.38225" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="106.63375" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>让<年代vg height="14.375" id="M59" style="vertical-align:-3.13504pt;width:73.349998px;" version="1.1" viewbox="0 0 73.349998 14.375" width="73.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.26,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-57.39,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-42.49,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-34.14,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
ℕ</t年代p一个n>
</text>
</g>
</g>
</svg>,那么我们就有<年代p一个n class="displayed-label" id="am0015">
<svg height="53.325001" id="M60" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 53.325001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,53.325)">
<g transform="translate(72,-29.34)">
<text transform="matrix(1,0,0,-1,23.4,61.01)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∬</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,31.98,56.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,38.34,54.38)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,42.39,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,47.96,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,57.66,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,61.28,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,66.09,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,69.72,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,82.5,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,86.12,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,90.93,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,94.56,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,100.71,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,106.94,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,113.72,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,117.34,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,122.16,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,125.78,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,138.56,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,142.18,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,147,63.85)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,153.2,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.73,57.91)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,173.69,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,187.22,57.91)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<g>
<path d="m 23.4,50.35 168.69,0" 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,-1,58.57,37.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,62.03,32.72)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,68.39,30.53)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,74.52,37.18)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,80.09,40.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,86.87,38.59)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,90.5,40.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,97.28,38.59)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,100.9,40.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,108.95,37.18)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,115.18,40.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,121.96,38.59)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,125.59,40.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,132.37,38.59)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,135.99,40.78)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,143.39,37.18)">
<tspan style="font-size: 12.50px; " x="143.03" y="-18.34">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="53.369999" y="-10.04">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="65.397888" y="-10.04">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="69.561386" y="-10.04">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="76.250488" y="-10.04">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="87.60321" y="-10.04">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="91.079048" y="-10.04">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="97.330551" y="-10.04">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="105.65755" y="-10.04">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="111.38392" y="-10.04">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,292.65,60.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,299.43,58.34)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,303.05,60.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,309.84,58.34)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,313.96,55.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,319.52,60.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,326.31,58.34)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,329.93,60.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,336.71,58.34)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,340.34,60.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,346.35,55.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 260.14,50.35 130.08,0" 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,-1,260.14,38.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,270.53,42.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,277.32,39.88)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,281.44,38.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,287,42.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,293.79,39.88)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,297.41,42.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,303.43,38.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.579218" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="25.906216" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,335.57,42.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,342.36,39.88)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,346.48,38.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,352.04,42.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,358.83,39.88)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,362.45,42.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,368.47,38.47)">
<tspan style="font-size: 12.50px; " x="22.950001" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.579218" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
3</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>由(<一个href="#eq10">2.11</一个>),我们看到<年代p一个n class="displayed-label" id="eq12">
<svg height="53.224998" id="M61" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 53.224998" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,53.225)">
<g transform="translate(72,-29.42)">
<text transform="matrix(1,0,0,-1,69.84,61.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,79.53,57.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,86.49,61.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,89.94,56.65)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,96.3,54.46)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,102.44,61.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,108,66.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.05,61.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,122.28,66.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,129.67,61.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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0</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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!</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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=</t年代p一个n>
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0</t年代p一个n>
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</t年代p一个n>
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,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9711361" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,293.27,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
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</t年代p一个n>
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<text transform="matrix(1,0,0,-1,307.12,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
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</t年代p一个n>
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−</t年代p一个n>
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1</t年代p一个n>
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)</t年代p一个n>
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<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
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<text transform="matrix(1,0,0,-1,337.73,38.55)">
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。</t年代p一个n>
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</t年代p一个n>
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!</t年代p一个n>
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(</t年代p一个n>
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2</t年代p一个n>
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。</t年代p一个n>
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1</t年代p一个n>
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4</t年代p一个n>
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)</t年代p一个n>
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<p>让<年代p一个n class="displayed-label" id="eq13">
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</t年代p一个n>
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(</t年代p一个n>
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</t年代p一个n>
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<text transform="matrix(1,0,0,-1,82.89,44.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
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<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
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</t年代p一个n>
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<text transform="matrix(1,0,0,-1,102.66,44.1)">
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2</t年代p一个n>
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∬</t年代p一个n>
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;</t年代p一个n>
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</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
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</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
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=</t年代p一个n>
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<text transform="matrix(1,0,0,-1,158.54,56.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
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<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
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<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
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<tspan style="font-size: 8.75px; " x="0" y="0">
+</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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</t年代p一个n>
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(</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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+</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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∫</t年代p一个n>
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ℤ</t年代p一个n>
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1</t年代p一个n>
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</t年代p一个n>
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3</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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</t年代p一个n>
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1</t年代p一个n>
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</t年代p一个n>
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2</t年代p一个n>
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</t年代p一个n>
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3</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.95,37.18)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,300.48,34.06)">
<tspan style="font-size: 8.75px; " x="0" y="0">
3</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,351.47,47.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
5</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>然后我们有<年代p一个n class="displayed-label" id="am0018">
<svg height="37.299999" id="M63" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 37.299999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,37.3)">
<g transform="translate(72,-42.16)">
<text transform="matrix(1,0,0,-1,77.09,53.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,97.82,50.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,102.7,53.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,117.6,50.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,122.47,53.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.194506" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="42.43" y="-8.7399998">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="46.593498" y="-8.7399998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="53.282604" y="-8.7399998">
+</t年代p一个n>
<tspan style="font-size: 12.50px; " x="64.622826" y="-8.7399998">
l</t年代p一个n>
<tspan style="font-size: 12.50px; " x="68.098656" y="-8.7399998">
o</t年代p一个n>
<tspan style="font-size: 12.50px; " x="74.350159" y="-8.7399998">
g</t年代p一个n>
<tspan style="font-size: 12.50px; " x="82.689659" y="-8.7399998">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="88.416031" y="-8.7399998">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="92.579536" y="-8.7399998">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,220.62,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,227.4,64.8)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,231.02,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,237.81,64.8)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,241.43,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,249.48,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,259.87,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,266.66,64.8)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,270.28,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,277.06,64.8)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,281.18,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.75,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,293.53,64.8)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,297.15,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,303.94,64.8)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,307.56,66.99)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,313.58,61.99)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
</text>
<g>
<path d="m 164.9,56.37 170.44,0" 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,-1,185.08,44.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,195.47,48.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,202.25,45.9)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,206.37,44.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,211.94,48.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,218.72,45.9)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,222.34,48.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,228.36,44.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="25.918718" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,260.51,48.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,267.29,45.9)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,271.41,44.49)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,276.98,48.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,283.76,45.9)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,287.38,48.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,293.4,44.49)">
<tspan style="font-size: 12.50px; " x="43.130001" y="-8.7600002">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,53.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
6</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>从(<一个href="#eq13">2.15</一个>),我们得到<年代p一个n class="displayed-label" id="eq14">
<svg height="52.525002" id="M64" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.525002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,52.525)">
<g transform="translate(72,-29.98)">
<text transform="matrix(1,0,0,-1,31.82,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,52.55,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,57.42,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,72.32,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,77.19,47.86)">
<tspan style="font-size: 12.50px; " x="50.75" y="-7.25">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.194506" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="41.234894" y="0">
(</t年代p一个n>
</text>
<g>
<path d="m 123.79,50.99 14.56,0" 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,-1,123.79,39.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,133.48,35.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,141.63,40.17)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,147.38,36.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,153.74,34.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,159.88,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,165.45,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,172.23,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,175.85,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,183.58,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,187.2,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,199.98,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,203.61,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
)</t年代p一个n>
<tspan style="font-size: 8.75px; " x="7.7280159" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,214.57,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,220.8,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,227.58,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,231.21,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,236.02,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,242.23,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,255.75,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,260.63,47.86)">
<tspan style="font-size: 12.50px; " x="9.5200005" y="-13.81">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,279.84,58.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.8,61.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,290.25,57.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,296.61,55.02)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,302.75,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,308.31,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,315.1,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,318.72,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,323.53,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,327.16,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,330.4,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,336.62,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,343.4,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,347.03,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,351.84,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,358.05,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,371.58,58.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<g>
<path d="m 270.15,50.99 106.3,0" 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,-1,274.13,37.8)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,277.58,33.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,283.94,31.17)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,290.08,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,295.64,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,302.43,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,306.05,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,312.83,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,316.46,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,324.51,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,330.73,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,337.52,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,341.14,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,347.92,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,351.55,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,358.94,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="18.709999" y="-10.04">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.873499" y="-10.04">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
7</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>由(<一个href="#eq4">2.5</一个>),(<一个href="#eq12">2.14</一个>)和(<一个href="#eq14">2.17</一个>),我们看到<年代p一个n class="displayed-label" id="eq15">
<svg height="107.725" id="M65" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 107.725" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,107.725)">
<g transform="translate(72,14.18)">
<text transform="matrix(1,0,0,-1,30.13,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,50.86,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,55.74,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,70.64,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,75.51,49.77)">
<tspan style="font-size: 12.50px; " x="46.59" y="-7.25">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.194506" y="0">
=</t年代p一个n>
</text>
<g>
<path d="m 117.94,52.9 14.56,0" 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,-1,117.94,41.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,127.63,37.89)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,133.7,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,141.89,65.71)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,137.86,43.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,139.39,36.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,154.02,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,162.72,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,171.99,49.6)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.97">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,181.45,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,195.31,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.18,49.77)">
<tspan style="font-size: 12.50px; " x="12.24" y="-10.33">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,222.11,65.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="9.3199997">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,226.98,60.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,230.89,65.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 212.42,52.9 21.69,0" 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,-1,219.24,41.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.888433" y="0">
!</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.07" y="-8.75">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="20.2335" y="-8.75">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,247.66,65.71)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,243.64,43.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,245.14,36.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7831359" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7782564" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,259.79,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,267.92,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7831359" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9711361" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,277.25,49.6)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.97">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.71,49.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,300.57,46.64)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,308.22,49.77)">
<tspan style="font-size: 12.50px; " x="22.950001" y="-10.32">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,340.86,65.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,345.74,60.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,349.65,65.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 331.17,52.9 21.94,0" 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,-1,338.07,41.02)">
<tspan style="font-size: 12.50px; " x="16.23" y="-8.75">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="-233.36" y="38.82">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.9759541" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,120.77,18.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.74,-4.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,117.46,-11.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,132.9,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,142.96,18.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,137.06,-4.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,138.59,-11.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,155.3,-5.13)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.3800001" y="-16.700001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.54" y="0.79000002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.59" y="-8.8817842e-016">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.049999" y="-7.3299999">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,191.05,-0.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.32,2.03)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.97">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,209.79,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,223.64,-0.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,228.52,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,247.68,-0.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.066736" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.254736" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,267.3,2.03)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.97">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,276.76,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,290.61,-0.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,298.27,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.579218" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,329.72,7.2)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,343.31,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,353,7.2)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
2</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,366.56,2.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.1700001" y="-7.25">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,376.64,14.45)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 371.92,5.32 10.38,0" 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,-1,371.92,-6.55)">
<tspan style="font-size: 12.50px; " x="11.57" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.2139912" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,25.78)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
8</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>对称的<年代vg height="9.875" id="M66" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>进积分不变量在<年代vg height="16.375" id="M67" style="vertical-align:-4.74141pt;width:17.4625px;" version="1.1" viewbox="0 0 17.4625 16.375" width="17.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.375)">
<g transform="translate(72,-58.9)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.86,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>,我们也看到<年代p一个n class="displayed-label" id="eq16">
<svg height="111.9875" id="M68" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 111.9875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,111.9875)">
<g transform="translate(72,17.59)">
<text transform="matrix(1,0,0,-1,30.13,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,50.86,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,55.74,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,70.64,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,75.51,47.86)">
<tspan style="font-size: 12.50px; " x="50.75" y="-7.25">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.194506" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="41.222389" y="0">
(</t年代p一个n>
</text>
<g>
<path d="m 122.1,50.99 14.57,0" 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,-1,122.1,39.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,131.79,35.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,139.95,40.17)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,145.7,36.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,152.06,34.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,158.2,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,163.76,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,170.54,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,174.17,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,181.9,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,185.52,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,198.3,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,201.92,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
)</t年代p一个n>
<tspan style="font-size: 8.75px; " x="7.7280159" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,212.89,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,219.11,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,225.9,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,229.52,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,234.34,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,240.54,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,254.07,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,258.94,47.86)">
<tspan style="font-size: 12.50px; " x="9.5299997" y="-13.81">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,278.16,58.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,285.11,61.65)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,288.57,57.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,294.93,55.02)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,301.07,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,306.63,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,313.41,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,317.04,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,321.85,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,325.47,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,328.71,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,334.94,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,341.72,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,345.34,66.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,350.16,64.49)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,356.36,61.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,369.89,58.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 268.47,50.99 106.3,0" 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,-1,272.44,37.8)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∫</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,275.9,33.36)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,282.26,31.17)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,288.4,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,293.96,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,300.74,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,304.37,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,311.15,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,314.77,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,322.82,37.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,329.05,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,335.83,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,339.46,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,346.24,39.23)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,349.86,41.42)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,357.26,37.82)">
<tspan style="font-size: 12.50px; " x="18.700001" y="-10.04">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="-252.55" y="39.040001">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,120.77,14.73)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.74,-7.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,117.46,-14.95)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,132.9,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,142.96,14.73)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,137.06,-7.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,138.59,-14.95)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,155.3,-8.54)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.3800001" y="-16.690001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.54" y="0.79000002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.59" y="-5.3290705e-015">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.049999" y="-7.3200002">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,191.05,-4.34)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.32,-1.38)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.98">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,209.79,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,223.64,-4.34)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,228.52,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,247.68,-4.34)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.066736" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.254736" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,267.3,-1.38)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.98">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,276.76,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,290.61,-4.34)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,298.27,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.327718" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,329.72,3.79)">
<tspan style="font-size: 8.75px; " x="0" y="9.3199997">
2</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,343.31,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,353,3.79)">
<tspan style="font-size: 8.75px; " x="0" y="9.3199997">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,366.56,-1.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.1700001" y="-7.2600002">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,376.64,11.04)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 371.92,1.91 10.38,0" 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,-1,371.92,-9.97)">
<tspan style="font-size: 12.50px; " x="11.57" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.2139912" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,24.08)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
9</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span>通过对比系数<年代vg height="11.425" id="M69" style="vertical-align:-0.17555pt;width:28.387501px;" version="1.1" viewbox="0 0 28.387501 11.425" width="28.387501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.425)">
<g transform="translate(72,-62.86)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-68.04,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-63.19,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
/</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6898251" y="0">
!</t年代p一个n>
</text>
</g>
</g>
</svg>(双方的<一个href="#eq15">2.18</一个>)和(<一个href="#eq16">2.19</一个>),我们获得以下定理。</pgydF4y2Ba>
<p><span class="statement" id="thm1"><span class="statement-title">定理2.1。</年代p一个n><i>对所有<年代vg height="14.6" id="M70" style="vertical-align:-3.13504pt;width:79.412498px;" version="1.1" viewbox="0 0 79.412498 14.6" width="79.412498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.26,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-57.39,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-42.49,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-37.61,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="16.191385" y="0">
ℕ</t年代p一个n>
<tspan style="font-size: 12.50px; " x="24.91848" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>,我们有</我><span class="displayed-label" id="am0022">
<svg height="41.6875" id="M71" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 41.6875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,41.6875)">
<g transform="translate(72,-38.65)">
<text transform="matrix(1,0,0,-1,-38.11,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-41.65,52.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-42.49,41.29)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-27.31,45.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.3800001" y="-16.700001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.54" y="0.79000002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.59" y="-7.1054274e-015">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.049999" y="-7.3299999">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,8.45,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,17.71,52.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.97">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,27.18,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,41.03,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,45.91,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,65.07,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.066736" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.254736" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,84.69,52.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.97">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,94.15,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,108.01,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,115.66,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,147.11,57.35)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,160.7,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,170.39,57.35)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
2</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,187.43,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,203.84,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.3,52.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,199.46,41.29)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,214.64,45.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.3800001" y="-16.700001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.54" y="0.79000002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.59" y="-7.1054274e-015">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.049999" y="-7.3299999">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,250.4,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,259.66,52.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.97">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,269.13,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,282.98,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,287.86,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,307.02,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.066736" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.254736" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,326.64,52.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.97">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,336.1,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,349.96,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,357.61,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,389.06,57.35)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
2</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,402.65,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,412.34,57.35)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,425.9,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,52.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
0</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span><i>在哪里<年代vg height="14.075" id="M72" style="vertical-align:-2.4628pt;width:21.174999px;" version="1.1" viewbox="0 0 21.174999 14.075" width="21.174999" 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,-71.95,63.24)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-65.7,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0.81" y="7.1999998">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-59.27,63.24)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>二项式系数。</我></span></p>
<p>如果我们把<年代vg height="14.6" id="M73" style="vertical-align:-3.13504pt;width:45.537498px;" version="1.1" viewbox="0 0 45.537498 14.6" width="45.537498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.26,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-53.91,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n>
</text>
</g>
</g>
</svg>在定理<一个href="#thm1">2.1</一个>,那么我们就有<年代p一个n class="displayed-label" id="am0023">
<svg height="48.387501" id="M74" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.3875)">
<g transform="translate(72,-33.29)">
<text transform="matrix(1,0,0,-1,82.77,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,91.47,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,102.86,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.72,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,121.59,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="14.50348" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,154.05,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,148.14,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,149.67,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.38,42.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.3800001" y="-16.690001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.54" y="0.79000002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.59" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.049999" y="-7.3200002">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,202.14,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,211.4,49.51)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.98">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,220.87,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.203648" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,244.2,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.066736" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.254736" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.31,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,278.17,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,285.82,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,317.27,54.67)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,330.86,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>因此,我们获得以下推论。</pgydF4y2Ba>
<p><span class="statement" id="coro2"><span class="statement-title">推论2.2。</年代p一个n><i>为<年代vg height="12.3" id="M75" style="vertical-align:-1.29163pt;width:35.099998px;" version="1.1" viewbox="0 0 35.099998 12.3" width="35.099998" 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">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6773224" y="0">
≥</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.71771" y="0">
0</t年代p一个n>
</text>
</g>
</g>
</svg>,我们有</我><span class="displayed-label" id="am0024">
<svg height="48.387501" id="M76" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.3875)">
<g transform="translate(72,-33.29)">
<text transform="matrix(1,0,0,-1,82.77,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,91.47,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,102.86,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.72,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,121.59,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="14.50348" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,154.05,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,148.14,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,149.67,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.38,42.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.3800001" y="-16.690001">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.54" y="0.79000002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.59" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="27.049999" y="-7.3200002">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,202.14,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.9098721" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,211.4,49.51)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.98">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,220.87,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="15.203648" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,244.2,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="13.066736" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.254736" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,264.31,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,278.17,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,285.82,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">
1</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.591721" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,317.27,54.67)">
<tspan style="font-size: 8.75px; " x="0" y="9.3100004">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,330.86,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span><i></i></span></p>
<p>由(<一个href="#eq14">2.17</一个>),(<一个href="#eq15">2.18</一个>)和(<一个href="#eq16">2.19</一个>),我们也看到了<年代p一个n class="displayed-label" id="eq17">
<svg height="239.8125" id="M77" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 239.8125" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,239.8125)">
<g transform="translate(72,119.85)">
<text transform="matrix(1,0,0,-1,36.97,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,57.7,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,62.57,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,77.47,44.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,82.35,47.86)">
<tspan style="font-size: 12.50px; " x="46.59" y="-7.25">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.182001" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="41.222389" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,134.5,60.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,141.29,57.93)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,144.91,60.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,151.69,57.93)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,155.32,60.12)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 128.94,50.99 34.43,0" 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,-1,138.87,39.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,148.56,35.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.65,40.17)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,172.4,36.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,178.76,34.18)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,184.9,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,190.46,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,197.25,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.87,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,205.68,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,209.31,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,212.54,47.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,218.77,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,225.55,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,229.18,52.86)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,233.99,50.68)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
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<tspan style="font-size: 12.50px; " x="6.6515961" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,333.63,-56.65)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,111.54,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,127.61,-87.53)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,123.58,-110.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,124.3,-117.2)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,139.73,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,143.9,-87.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,150.68,-89.4)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,154.3,-87.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,146.21,-110.02)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,147.74,-117.2)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.76,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,175.46,-106.59)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,186.36,-103.63)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.98">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,195.82,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,209.68,-106.59)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,214.55,-103.47)">
<tspan style="font-size: 12.50px; " x="22.200001" y="-9.1400003">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6523161" y="0">
+</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,246.44,-97.45)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<g>
<path d="m 236.75,-100.34 14.56,0" 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,-1,236.75,-112.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,246.44,-115.35)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,252.51,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.888433" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.0519323" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,270.25,-98.47)">
<tspan style="font-size: 8.75px; " x="0" y="9.2799997">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,285.47,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,291.69,-98.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,298.48,-100.65)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,302.1,-98.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,305.32,-103.47)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.1700001" y="-7.25">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,315.4,-91.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 310.68,-100.34 10.38,0" 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,-1,310.68,-112.22)">
<tspan style="font-size: 12.50px; " x="11.57" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.2139912" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,-27.05)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
3</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>对称的<年代vg height="14.6" id="M78" style="vertical-align:-3.13504pt;width:89px;" version="1.1" viewbox="0 0 89 14.6" width="89" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-51.22,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-46.35,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2137508" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-31.45,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-26.57,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg>,我们也可以得到<年代p一个n class="displayed-label" id="eq18">
<svg height="51.337502" id="M79" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 51.337502" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,51.3375)">
<g transform="translate(72,-30.93)">
<text transform="matrix(1,0,0,-1,64.17,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="11.040149" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,84.9,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,89.78,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,104.67,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,109.55,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
;</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.427982" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="17.641733" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="29.194506" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,154.81,63.25)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∞</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,150.78,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,151.5,33.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,166.94,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,171.1,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,177.88,61.37)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,181.51,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,173.41,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,174.94,33.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,193.96,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,202.67,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,213.56,47.14)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8499999" y="1.98">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,223.03,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,236.88,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,241.75,47.3)">
<tspan style="font-size: 12.50px; " x="22.200001" y="-9.1400003">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6523161" y="0">
+</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,273.64,53.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 263.95,50.43 14.56,0" 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,-1,263.95,38.55)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,273.64,35.43)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,279.71,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.888433" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.0519323" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,297.45,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="9.29">
2</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,312.67,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,318.9,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,325.68,50.12)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,329.3,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,332.52,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.1700001" y="-7.2600002">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,342.6,59.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<g>
<path d="m 337.88,50.43 10.38,0" 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,-1,337.88,38.55)">
<tspan style="font-size: 12.50px; " x="11.57" y="-8.75">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.2139912" y="0">
!</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
4</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span></p>
<p>通过对比系数<年代vg height="11.425" id="M80" style="vertical-align:-0.17555pt;width:28.387501px;" version="1.1" viewbox="0 0 28.387501 11.425" width="28.387501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.425)">
<g transform="translate(72,-62.86)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-68.04,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-63.19,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
/</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6898251" y="0">
!</t年代p一个n>
</text>
</g>
</g>
</svg>(双方的<一个href="#eq17">2.23</一个>)和(<一个href="#eq18">2.24</一个>),我们获得以下定理。</pgydF4y2Ba>
<p><span class="statement" id="thm3"><span class="statement-title">定理2.3。</年代p一个n><i>为<年代vg height="14.825" id="M81" style="vertical-align:-3.49493pt;width:46.762501px;" version="1.1" viewbox="0 0 46.762501 14.825" width="46.762501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.825)">
<g transform="translate(72,-60.14)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6773224" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="21.71771" y="0">
ℤ</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-41.14,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
+</t年代p一个n>
</text>
</g>
</g>
</svg>,<年代vg height="14.375" id="M82" style="vertical-align:-3.13504pt;width:73.349998px;" version="1.1" viewbox="0 0 73.349998 14.375" width="73.349998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.26,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-57.39,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-42.49,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-34.14,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
ℕ</t年代p一个n>
</text>
</g>
</g>
</svg>,我们有</我><span class="displayed-label" id="am0027">
<svg height="51.337502" id="M83" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 51.337502" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,51.3375)">
<g transform="translate(72,-30.93)">
<text transform="matrix(1,0,0,-1,37.64,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,44.42,61.37)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,48.04,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,39.95,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,41.48,33.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,60.5,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,69.2,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,80.1,47.14)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.98">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,89.56,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,103.42,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,108.29,47.3)">
<tspan style="font-size: 12.50px; " x="22.190001" y="-9.1400003">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6523161" y="0">
+</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,140.17,53.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<g>
<path d="m 130.48,50.43 14.57,0" 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,-1,130.48,38.55)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,140.17,35.43)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,146.24,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.888433" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.0519323" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,163.98,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="9.29">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,179.2,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,185.43,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,192.21,50.12)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,195.84,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,202.53,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,214.57,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,221.35,61.37)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,224.98,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,216.88,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,218.41,33.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,237.43,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,246.13,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,257.03,47.14)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.98">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,266.49,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,280.35,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,285.22,47.3)">
<tspan style="font-size: 12.50px; " x="22.200001" y="-9.1400003">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="9.6523161" y="0">
+</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,317.11,53.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<g>
<path d="m 307.42,50.43 14.56,0" 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,-1,307.42,38.55)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,317.11,35.43)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,323.18,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="3.888433" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="8.0519323" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,340.92,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="9.29">
2</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,356.14,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,362.36,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,369.15,50.12)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,372.77,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,375.99,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
5</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span><i></i></span></p>
<p><span class="statement" id="rem1"><span class="statement-title"><i class="statement-title">2.4的话。</我></span>设置<年代vg height="14.6" id="M84" style="vertical-align:-3.13504pt;width:45.537498px;" version="1.1" viewbox="0 0 45.537498 14.6" width="45.537498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-62.26,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,-53.91,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n>
</text>
</g>
</g>
</svg>在定理<一个href="#thm3">2.3</一个>,得到的乘法定理<年代vg height="9.875" id="M85" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式如下:<年代p一个n class="displayed-label" id="am0028">
<svg height="51.337502" id="M86" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 51.337502" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,51.3375)">
<g transform="translate(72,-30.93)">
<text transform="matrix(1,0,0,-1,107.84,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.55,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,127.94,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,141.79,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,146.67,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="6.8766499" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="14.50348" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.543869" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,182.91,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="9.29">
1</t年代p一个n>
<tspan style="font-size: 8.75px; " x="15.22" y="-11.25">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,204.91,61.37)">
<tspan style="font-size: 6.25px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,208.54,63.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,200.44,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,201.97,33.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="8.7169924" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,220.99,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,229.69,44.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
,</t年代p一个n>
<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,240.59,47.14)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 6.25px; " x="4.8400002" y="1.98">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,250.05,47.3)">
<tspan style="font-size: 12.50px; " x="31.700001" y="-7.2600002">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.815815" y="0">
+</t年代p一个n>
</text>
<g>
<path d="m 276.41,50.43 14.57,0" 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,-1,276.41,38.55)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,286.1,35.43)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,292.17,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,302.56,52.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,305.78,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,458.49,47.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">
。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">
6</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span><br>我不能获得扩展的公式定理<一个href="#thm1">2.1</一个>和<一个href="#thm3">2.3</一个>Carlitz有关<年代vg height="9.875" id="M87" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数字和多项式。所以,我们建议以下两个问题。</年代p一个n></p>
<p><span class="statement" id="Ques1"><span class="statement-title"><i class="statement-title">的问题。</我></span>找到扩展的公式定理<一个href="#thm1">2.1</一个>和<一个href="#thm3">2.3</一个>Carlitz相关的<年代vg height="9.875" id="M88" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数字和多项式。</年代p一个n></p>
<p><span class="statement" id="Ques2"><span class="statement-title"><i class="statement-title">的问题。</我></span>找到扭曲的公式定理<一个href="#thm1">2.1</一个>和<一个href="#thm3">2.3</一个>扭曲的Carlitz相关的<年代vg height="9.875" id="M89" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利多项式。</年代p一个n></p>
<p><span class="statement" id="rem2"><span class="statement-title"><i class="statement-title">2.5的话。</我></span>在[<一个href="#B12">12</一个>),<年代vg height="9.875" id="M90" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>被定义为-Volkenborn积分<年代p一个n class="displayed-label" id="am0029">
<svg height="53.037498" id="M91" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 53.037498" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,53.0375)">
<g transform="translate(72,-29.57)">
<text transform="matrix(1,0,0,-1,83.21,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,89.21,42.82)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,94.07,45.95)">
<tspan style="font-size: 12.50px; " x="30.780001" y="7.6999998">
</t年代p一个n>
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)</t年代p一个n>
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=</t年代p一个n>
</text>
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米</t年代p一个n>
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→</t年代p一个n>
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∞</t年代p一个n>
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<tspan style="font-size: 8.75px; " x="4.8136001" y="0">
=</t年代p一个n>
<tspan style="font-size: 8.75px; " x="10.80872" y="0">
0</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,296.73,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
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<tspan style="font-size: 12.50px; " x="6.9391651" y="0">
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<tspan style="font-size: 12.50px; " x="11.102664" y="0">
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)</t年代p一个n>
<tspan style="font-size: 12.50px; " x="22.142813" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,325.1,50.95)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,330.41,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n>
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<text transform="matrix(1,0,0,-1,458.49,45.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
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<tspan style="font-size: 12.50px; " x="4.1634989" y="0">
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。</t年代p一个n>
<tspan style="font-size: 12.50px; " x="13.540749" y="0">
2</t年代p一个n>
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7</t年代p一个n>
<tspan style="font-size: 12.50px; " x="26.043749" y="0">
)</t年代p一个n>
</text>
</g>
</g>
</svg></span><br>因此,我们注意到Carlitz<年代vg height="9.875" id="M92" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
</g>
</g>
</svg>伯努利数可以写的<年代p一个n class="displayed-label" id="am0030">
<svg height="40.299999" id="M93" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.299999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,40.3)">
<g transform="translate(72,-39.76)">
<text transform="matrix(1,0,0,-1,94.79,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,101.76,51.51)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">
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<tspan style="font-size: 8.75px; " x="6.537744" y="0">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,116.63,54.64)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n>
<tspan style="font-size: 12.50px; " x="12.04" y="7.6999998">
</t年代p一个n>
</text>
<text transform="matrix(1,0,0,-1,134.42,43.14)">
<tspan style="font-size: 8.75px; " x="0" y="0">
ℤ</t年代p一个n>
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</g>
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</svg></span></span></p>
<h4 id="acknowledgments">确认</h4gydF4y2Ba>
<p>作者希望表达自己的真诚感谢裁判对他们有价值的建议和意见。目前的研究已经由Kwangwoon大学2008年的研究资助。</pgydF4y2Ba>
</div>
</div>
<div class="ArticleReferences_xmlContent__p_40j">
<h4 class="ArticleReferences_references__GH2t_" id="references">引用</h4gydF4y2Ba>
<ol class="ArticleReferences_orderedReferences__mJr9M">
<li class="ArticleReferences_articleReference__ouEuh" id="B1">
<div class="referenceContent">
<p class="referenceText">m . Cenkci m .可以,诉库尔特。”<米一个th我d="M94" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进插值函数和Kummer-type刻画<米一个th我d="M95" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
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</mrow>
</math>扭曲和<米一个th我d="M96" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>广义扭曲欧拉数。”<我>先进的研究在当代数学</我>,9卷,不。2、203 - 216年,2004页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=p-adic%20interpolation%20functions%20and%20Kummer-type%20congruences%20for%20q-twisted%20and%20q-generalized%20twisted%20Euler%20numbers&author=M.%20Cenkci&author=M.%20Can&author=V.%20Kurt&publication_year=2004" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1083.11016" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2090123" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B2">
<div class="referenceContent">
<p class="referenceText">m . Cenkci y希姆塞克和诉科特,“进一步评价多个<米一个th我d="M97" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
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</math>进<米一个th我d="M98" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
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</mrow>
</math>- - - - - -<米一个th我d="M99" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
l</米我>
</mrow>
</math>两个变量的函数。”<我>先进的研究在当代数学</我>,14卷,不。1,49 - 68年,2007页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=Further%20remarks%20on%20multiple%20p-adic%20q-L-function%20of%20two%20variables&author=M.%20Cenkci&author=Y.%20Simsek&author=V.%20Kurt&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
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</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B3">
<div class="referenceContent">
<p class="referenceText">t·金。”<米一个th我d="M100" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>伯努利数字和多项式与高斯二项式系数有关,”<我>俄罗斯数学物理杂志》上</我>,15卷,不。1,51-57,2008页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=q-Bernoulli%20numbers%20and%20polynomials%20associated%20with%20Gaussian%20binomial%20coefficients&author=T.%20Kim&publication_year=2008" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2390694" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B4">
<div class="referenceContent">
<p class="referenceText">t·金。”<米一个th我d="M101" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>扩展欧拉公式和三角函数”,<我>俄罗斯数学物理杂志》上</我>,14卷,不。3、275 - 278年,2007页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://doi.org/10.1134/S1061920807030041" target="_blank" rel="noreferrer">出版商的网站</一个>
<span class="sep">|</年代p一个n>
<a href="https://scholar.google.com/scholar_lookup?title=q-extension%20of%20the%20Euler%20formula%20and%20trigonometric%20functions&author=T.%20Kim&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2341775" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B5">
<div class="referenceContent">
<p class="referenceText">t . Kim j.y.崔和j.y.见sub扩展<米一个th我d="M102" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>欧拉数字和多项式与费密子有关<米一个th我d="M103" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进<米一个th我d="M104" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>积分上<米一个th我d="M105" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<msub>
<mi>
ℤ</米我>
<mi>
p</米我>
</msub>
</mrow>
</math>”,<我>俄罗斯数学物理杂志》上</我>,14卷,不。2、160 - 163年,2007页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://doi.org/10.1134/S1061920807020045" target="_blank" rel="noreferrer">出版商的网站</一个>
<span class="sep">|</年代p一个n>
<a href="https://scholar.google.com/scholar_lookup?title=Extended%20q-Euler%20numbers%20and%20polynomials%20associated%20with%20fermionic%20p-adic%20q-integral%20on%20Zp&author=T.%20Kim&author=J.%20Y.%20Choi&author=J.%20Y.%20Sug&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2318827" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B6">
<div class="referenceContent">
<p class="referenceText">多个t·金。<米一个th我d="M106" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进<米一个th我d="M107" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
l</米我>
</mrow>
</math>功能”,<我>俄罗斯数学物理杂志》上</我>,13卷,不。2、151 - 157年,2006页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://doi.org/10.1134/S1061920806020038" target="_blank" rel="noreferrer">出版商的网站</一个>
<span class="sep">|</年代p一个n>
<a href="https://scholar.google.com/scholar_lookup?title=Multiple%20p-adic%20L-function&author=T.%20Kim&publication_year=2006" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1140.11352" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2262821" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B7">
<div class="referenceContent">
<p class="referenceText">h·m·斯利瓦斯塔瓦、t·金和y希姆塞克”<米一个th我d="M108" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>伯努利数字和多项式与多个相关<米一个th我d="M109" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>ζ函数和基本<米一个th我d="M110" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
l</米我>
</mrow>
</math>系列。”<我>俄罗斯数学物理杂志》上</我>,12卷,不。2、241 - 268年,2005页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=q-Bernoulli%20numbers%20and%20polynomials%20associated%20with%20multiple%20q-zeta%20functions%20and%20basic%20L-series&author=H.%20M.%20Srivastava&author=T.%20Kim&author=Y.%20Simsek&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2199005" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B8">
<div class="referenceContent">
<p class="referenceText">t·金“幂级数和渐近级数与<米一个th我d="M111" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>两变量的模拟<米一个th我d="M112" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进<米一个th我d="M113" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
l</米我>
</mrow>
</math>功能”,<我>俄罗斯数学物理杂志》上</我>,12卷,不。2、186 - 196年,2005页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=Power%20series%20and%20asymptotic%20series%20associated%20with%20the%20q-analog%20of%20the%20two-variable%20p-adic%20L-function&author=T.%20Kim&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2198999" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B9">
<div class="referenceContent">
<p class="referenceText">分析延续多个t·金。<米一个th我d="M114" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>ζ函数和它们的值为负整数。”<我>俄罗斯数学物理杂志》上</我>,11卷,不。1,第76 - 71页,2004。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=Analytic%20continuation%20of%20multiple%20q-zeta%20functions%20and%20their%20values%20at%20negative%20integers&author=T.%20Kim&publication_year=2004" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1115.11068" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2134649" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B10">
<div class="referenceContent">
<p class="referenceText">非阿基米德t·金。<米一个th我d="M115" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>与多个Changhee相关积分<米一个th我d="M116" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>伯努利多项式。”<我>俄罗斯数学物理杂志》上</我>,10卷,不。1,第98 - 91页,2003。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=Non-Archimedean%20q-integrals%20associated%20with%20multiple%20Changhee%20q-Bernoulli%20polynomials&author=T.%20Kim&publication_year=2003" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1072.11090" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2013106" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B11">
<div class="referenceContent">
<p class="referenceText">t·金”Euler-Barnes多个ζ函数。”<我>俄罗斯数学物理杂志》上</我>,10卷,不。3、261 - 267年,2003页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=On%20Euler-Barnes%20multiple%20zeta%20functions&author=T.%20Kim&publication_year=2003" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1038.11058" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2012900" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B12">
<div class="referenceContent">
<p class="referenceText">t·金。”<米一个th我d="M117" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>-Volkenborn集成。”<我>俄罗斯数学物理杂志》上</我>,9卷,不。3、288 - 299年,2002页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=q-Volkenborn%20integration&author=T.%20Kim&publication_year=2002" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1092.11045" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR1965383" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B13">
<div class="referenceContent">
<p class="referenceText">t·金”,请注意<米一个th我d="M118" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进<米一个th我d="M119" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>积分上<米一个th我d="M120" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<msub>
<mi>
ℤ</米我>
<mi>
p</米我>
</msub>
</mrow>
</math>与<米一个th我d="M121" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>欧拉数。”<我>先进的研究在当代数学</我>,15卷,不。2、133 - 137年,2007页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=A%20note%20on%20p-adic%20q-integral%20on%20Zp%20associated%20with%20q-Euler%20numbers&author=T.%20Kim&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1132.11369" target="_blank" rel="noreferrer">Zentralblatt数学</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2356172" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B14">
<div class="referenceContent">
<p class="referenceText">b . a . Kupershmidt”反射对称<米一个th我d="M122" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>伯努利多项式。”<我>非线性数学物理杂志》上</我>补充1卷。12日,第422 - 412页,2005年。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://doi.org/10.2991/jnmp.2005.12.s1.34" target="_blank" rel="noreferrer">出版商的网站</一个>
<span class="sep">|</年代p一个n>
<a href="https://scholar.google.com/scholar_lookup?title=Reflection%20symmetries%20of%20q-Bernoulli%20polynomials&author=B.%20A.%20Kupershmidt&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2118876" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B15">
<div class="referenceContent">
<p class="referenceText">h·奥兹登y希姆塞克工程学系。Rim和i . n . Cangul”报告<米一个th我d="M123" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进<米一个th我d="M124" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>欧拉的人制定出的措施”,<我>先进的研究在当代数学</我>,14卷,不。2、233 - 239年,2007页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=A%20note%20on%20p-adic%20q-Euler%20measure&author=H.%20Ozden&author=Y.%20Simsek&author=S.-H.%20Rim&author=I.%20N.%20Cangul&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2316989" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B16">
<div class="referenceContent">
<p class="referenceText">m . Schork”病房的“序列”的微积分,<米一个th我d="M125" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>微积分,极限<米一个th我d="M126" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
<mo>
→</米o>
<mo>
−</米o>
<mn>
1</米n>
</mrow>
</math>”,<我>先进的研究在当代数学</我>,13卷,不。2、131 - 141年,2006页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://scholar.google.com/scholar_lookup?title=Ward's%20%E2%80%9Ccalculus%20of%20sequences%E2%80%9D%2C%20q-calculus%20and%20the%20limit%20q%3F-1&author=M.%20Schork&publication_year=2006" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2264303" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
<li class="ArticleReferences_articleReference__ouEuh" id="B17">
<div class="referenceContent">
<p class="referenceText">y希姆塞克”<米一个th我d="M127" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
p</米我>
</mrow>
</math>进扭曲<米一个th我d="M128" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
问</米我>
</mrow>
</math>- - - - - -<米一个th我d="M129" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
l</米我>
</mrow>
</math>函数与广义扭曲的伯努利数。”<我>俄罗斯数学物理杂志》上</我>,13卷,不。3、340 - 348年,2006页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
<a href="https://doi.org/10.1134/S1061920806030095" target="_blank" rel="noreferrer">出版商的网站</一个>
<span class="sep">|</年代p一个n>
<a href="https://scholar.google.com/scholar_lookup?title=On%20p-adic%20twisted%20q-L-functions%20related%20to%20generalized%20twisted%20Bernoulli%20numbers&author=Y.%20Simsek&publication_year=2006" target="_blank" rel="noreferrer">谷歌学术搜索</一个>
<span class="sep">|</年代p一个n>
<a href="https://www.ams.org/mathscinet-getitem?mr=MR2262835" target="_blank" rel="noreferrer">MathSciNet</一个>
</div></li>
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<div class="referenceContent">
<p class="referenceText">y希姆塞克“扭曲的定理<米一个th我d="M130" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>
l</米我>
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</math>函数和扭曲的伯努利数”,<我>先进的研究在当代数学</我>,11卷,不。2、205 - 218年,2005页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
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<p class="referenceText">y希姆塞克”扭曲<米一个th我d="M131" xmlns="http://www.w3.org/1998/Math/MathML">
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</math>伯努利数字和多项式与扭曲<米一个th我d="M132" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
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l</米我>
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</math>功能”,<我>《数学分析和应用程序</我>,卷324,不。2、790 - 804年,2006页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
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<p class="referenceText">h·j·h·Tuenter”,权力的对称多项式和伯努利数,“<我>美国数学月刊</我>,卷108,不。3、258 - 261年,2001页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
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<p class="referenceText">S.-L。杨:“伯努利方程的对称多项式的身份。”<我>离散数学</我>,卷308,不。4、550 - 554年,2008页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
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<p class="referenceText">p . t .年轻,“堕落伯努利多项式,广义的阶乘,和他们的应用程序,“<我>《数论</我>,卷128,不。4、738 - 758年,2008页。</pgydF4y2Ba>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->
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<h4 class="copyright-title" id="copyright">版权</h4gydF4y2Ba>
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版权©2008 Taekyun金。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。</gydF4y2Badiv>
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