LaTeX 测试 |
将 将 $$
x_{1,2} = {-b\pm\sqrt{b^2 - 4ac} \over 2a}.
$$ 用 可以用 \sqrt{A_x^2 + A_y^2 + A_z^2}.\tag{1} \end{align} 公式编号中可以使用任何文本 \[ |\vec{B}|=\sqrt{B_x^2 + B_y^2 + B_z^2}.\tag*{[2⭐]} \] 可以在 可以使用矩阵： $$T^{\mu\nu}=\begin{pmatrix}
\varepsilon&0&0&0\\
0&\varepsilon/3&0&0\\
0&0&\varepsilon/3&0\\
0&0&0&\varepsilon/3
\end{pmatrix},$$ 积分： $$P_\omega={n_\omega\over 2}\hbar\omega\,{1+R\over 1-v^2}\int\limits_{-1}^{1}dx\,(x-v)|x-v|,$$ 酷炫的 tikz 图片： $$
\usetikzlibrary{decorations.pathmorphing}
\begin{tikzpicture}[line width=0.2mm,scale=1.0545]\small
\tikzset{>=stealth}
\tikzset{snake it/.style={->,semithick,
decoration={snake,amplitude=.3mm,segment length=2.5mm,post length=0.9mm},decorate}}
\def\h{3}
\def\d{0.2}
\def\ww{1.4}
\def\w{1+\ww}
\def\p{1.5}
\def\r{0.7}
\coordinate[label=below:$A_1$] (A1) at (\ww,\p);
\coordinate[label=above:$B_1$] (B1) at (\ww,\p+\h);
\coordinate[label=below:$A_2$] (A2) at (\w,\p);
\coordinate[label=above:$B_2$] (B2) at (\w,\p+\h);
\coordinate[label=left:$C$] (C1) at (0,0);
\coordinate[label=left:$D$] (D) at (0,\h);
\draw[fill=blue!14](A2)--(B2)-- ++(\d,0)-- ++(0,-\h)--cycle;
\draw[gray,thin](C1)-- +(\w+\d,0);
\draw[dashed,gray,fill=blue!5](A1)-- (B1)-- ++(\d,0)-- ++(0,-\h)-- cycle;
\draw[dashed,line width=0.14mm](A1)--(C1)--(D)--(B1);
\draw[snake it](C1)--(A2) node[pos=0.6,below] {$c\Delta t$};
\draw[->,semithick](\ww,\p+0.44*\h)-- +(\w-\ww,0) node[pos=0.6,above] {$v\Delta t$};
\draw[snake it](D)--(B2);
\draw[thin](\r,0) arc (0:atan2(\p,\w):\r) node[midway,right,yshift=0.06cm] {$\theta$};
\draw[opacity=0](-0.40,-0.14)-- ++(0,5.06);
\end{tikzpicture}$$ 图象： $$\begin{tikzpicture}[scale=1.0544]\small
\begin{axis}[axis line style=gray,
samples=120,
width=9.0cm,height=6.4cm,
xmin=-1.5, xmax=1.5,
ymin=0, ymax=1.8,
restrict y to domain=-0.2:2,
ytick={1},
xtick={-1,1},
axis equal,
axis x line=center,
axis y line=center,
xlabel=$x$,ylabel=$y$]
\addplot[red,domain=-2:1,semithick]{exp(x)};
\addplot[black]{x+1};
\addplot[] coordinates {(1,1.5)} node{$y=x+1$};
\addplot[red] coordinates {(-1,0.6)} node{$y=e^x$};
\path (axis cs:0,0) node [anchor=north west,yshift=-0.07cm] {0};
\end{axis}
\end{tikzpicture}$$ 以及 LaTeX 的其他功能。 采用服务器端渲染 LaTeX 的好处是图片会被浏览器缓存，所以第一次可能加载比较慢，但之后就会很快。 缺点是 \newcommand 只能在一个公式内部使用，后续需要改进如何定义全局命令🤔 |