使用多行處理長方程

使用多行處理長方程

所以我正在為我最後一年的工程項目寫一份報告。我有一些很長的方程式需要處理,而且我對 LaTeX 還很陌生。

我試著分解的等式是:

\begin{multline*}
\dot{S_v} = \frac{\mu_{tot}}{T} **\left[** 2\left( \left( \frac{\partial u}{\partial x}\right)^2 + \left( \frac{\partial v}{\partial y}\right)^2 + \left( \frac{\partial w}{\partial z}\right)^2 \right) + 2 \left[\frac{\partial v}{\partial x}\frac{\partial u}{\partial y} +\frac{\partial w}{\partial x}\frac{\partial u}{\partial z} +\frac{\partial w}{\partial y}\frac{\partial v}{\partial z}\right] + \left(\frac{\partial u}{\partial y}\right)^2 + \left(\frac{\partial u}{\partial z}\right)^2 + \left(\frac{\partial v}{\partial x}\right)^2 + \left(\frac{\partial v}{\partial z}\right)^2 + \left(\frac{\partial w}{\partial x}\right)^2 + \left(\frac{\partial w}{\partial y}\right)^2 **\right]**
\end{multline*}

但是,一旦我添加 \\拆分方程, \left[ 和 \right] 就無法正確運行。有任何想法嗎?

這個方程式大致上就是我想要的樣子。我只需要在它周圍有兩個大方括號。

\begin{multline*}
\dot{S_v} =  \frac{\mu_{tot}}{T} 2\left( \left( \frac{\partial u}{\partial x}\right)^2 + \left( \frac{\partial v}{\partial y}\right)^2 + \left( \frac{\partial w}{\partial z}\right)^2 \right) \\ + 2 \left[\frac{\partial v}{\partial x}\frac{\partial u}{\partial y} +\frac{\partial w}{\partial x}\frac{\partial u}{\partial z} +\frac{\partial w}{\partial y}\frac{\partial v}{\partial z}\right] + \\ \left(\frac{\partial u}{\partial y}\right)^2 + \left(\frac{\partial u}{\partial z}\right)^2 + \left(\frac{\partial v}{\partial x}\right)^2 + \\ \left(\frac{\partial v}{\partial z}\right)^2 + \left(\frac{\partial w}{\partial x}\right)^2 + \left(\frac{\partial w}{\partial y}\right)^2
\end{multline*}

謝謝!

答案1

日常咆哮

你需要在第二行\right.之前\\\left.前面,例如

\left[......\right. \\
\left. .......\right]

因為\left[\right] 不能在沒有平衡的情況下被打破。

常規推薦解決方案

你需要\Biggl[\Biggr]amsmath

\documentclass{article}
\usepackage{mathtools}
\begin{document}
  \begin{multline*}
\dot{S_v} = \frac{\mu_{tot}}{T} \Biggl[ 2\left( \left( \frac{\partial u}{\partial x}\right)^2 + \left( \frac{\partial v}{\partial y}\right)^2 + \left( \frac{\partial w}{\partial z}\right)^2 \right) + 2 \left[\frac{\partial v}{\partial x}\frac{\partial u}{\partial y} +\frac{\partial w}{\partial x}\frac{\partial u}{\partial z} +\frac{\partial w}{\partial y}\frac{\partial v}{\partial z}\right] \\
+ \left(\frac{\partial u}{\partial y}\right)^2 + \left(\frac{\partial u}{\partial z}\right)^2 + \left(\frac{\partial v}{\partial x}\right)^2 + \left(\frac{\partial v}{\partial z}\right)^2 + \left(\frac{\partial w}{\partial x}\right)^2 + \left(\frac{\partial w}{\partial y}\right)^2 \Biggr]
\end{multline*}
\end{document}

在此輸入影像描述

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