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diff --git a/Master/texmf-dist/doc/latex/easybook/chapter2.tex b/Master/texmf-dist/doc/latex/easybook/chapter2.tex index 43af513c95e..c81e0d01bcd 100644 --- a/Master/texmf-dist/doc/latex/easybook/chapter2.tex +++ b/Master/texmf-dist/doc/latex/easybook/chapter2.tex @@ -10,14 +10,14 @@ \end{outline} \section{定理}\index{d@定理} -\begin{theorem}[(高斯公式\footnote{选自高等数学公式。})]\label{theo1}\index{d@定理!g@高斯公式} +\begin{theorem}[(高斯公式\footnote{选自高等数学公式。})]\label{gauss formula}\index{d@定理!g@高斯公式} 设空间闭区域$\Omega$是由分片光滑的闭曲面$\Sigma$围成,若函数$P(x,y,z)$,$Q(x,y,z)$,$R(x,y,z)$在$\Omega$上具有一节连续偏导数,则有 \begin{align} \iiint_\Omega\left(\frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}+\frac{\partial R}{\partial x}\right)\mathrm{d}V & =\oiint_\Sigma P\mathrm{d}y\mathrm{d}z+Q\mathrm{d}z\mathrm{d}x+R\mathrm{d}x\mathrm{d}y \\ & =\oiint_\Sigma \left(P\cos\alpha+Q\cos\beta+R\cos\gamma\right)\mathrm{d}S \end{align} -这里$\Sigma$是整个边界曲面$\Omega$的外侧,$\cos\alpha,\cos\beta,\cos\gamma$是$\Sigma$在点$(x,y,z)$处的法向量的方向余弦。引用这个公式如\cref{theo1}。 +这里$\Sigma$是整个边界曲面$\Omega$的外侧,$\cos\alpha,\cos\beta,\cos\gamma$是$\Sigma$在点$(x,y,z)$处的法向量的方向余弦。引用这个公式如\cref{gauss formula}。 \end{theorem} \begin{definition}[(Stokes formula)]\label{defi1}\index{d@定理!s@Stokes formula} |