this is for holding javascript data
Namgyun Lee edited untitled.tex
about 8 years ago
Commit id: 43d36a47778864c53605b3457c562df51bbb2720
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index a313e89..58f8eb9 100644
--- a/untitled.tex
+++ b/untitled.tex
...
D(Ax) = \left[ \frac{\partial (Ax)}{\partial x_1}, \dots, \frac{\partial (Ax)}{\partial x_n} \right]. \nonumber
\end{equation}
Since $Ax \in \complex^m$ is
\begin{equation} \begin{eqnarray}
Ax
&=& \left[ \begin{array}{c} (Ax)_1 \\ \vdots \\ (Ax)_n \end{array} \right]
= \left[ \begin{array}{c} (Ax)_1 \\ \vdots \\ (Ax)_n \end{array}
\right],
\end{equation} \right]
\end{eqnarray}
it follows that
\begin{equation}
\frac{\partial (Ax)}{\partial x_1} = \left[ \begin{array}{c}