奇怪的 Markdown / LaTeX 笔记

记一下日常见到的一些奇怪的 Markdown / LaTeX 用法...

Markdown

LaTeX

1. QED
   \hfill $\blacksquare$

LaTeX 数学

1. 运算符

1.1 造运算符:

a \operatorname{sin} c | \(a \operatorname {sin} c\)

2. 特殊符号

2.1 点

语义的点:

• \dotsc for “dots with commas” | \(a \dotsc b\)
• \dotsb for “dots with binary operators/relations” | \(a \dotsb b\)
• \dotsm for “multiplication dots” | \(a \dotsm b\)
• \dotsi for “dots with integrals” | \(a \dotsi b\)
• \dotso for “other dots” (none of the above) | \(a \dotso b\)
• \dots output the most suitable form based on the immediate context
  • a \dots b | \(a \dots b\)
  • a + \dots + b | \(a + \dots + b\)
  • \int_{a_1}\int_{a_2} \dots \int_{a_n} | \(\int_{a_1}\int_{a_2} \dots \int_{a_n}\)

位置的点:

• \cdots | \(a \cdots b\)
• \vdots | \(a \vdots b\)
• \ddots | \(a \ddots b\)
• \ldots | \(a \ldots b\)

For example:

M
=\begin{bmatrix}
A  &  B  & \cdots\ &C\\
D  &  E  & \cdots\ & F\\
 \vdots   & \vdots & \ddots  & \vdots  \\
 G & H  & \cdots\ & I\\
\end{bmatrix}

\[M =\begin{bmatrix} A & B & \cdots\ &C\\ D & E & \cdots\ & F\\  \vdots   & \vdots & \ddots  & \vdots  \\  G & H & \cdots\ & I\\ \end{bmatrix} \]

2.2 分数/二项式系数

\(\TeX\) style:

• {a \over b} | \({a \over b}\)
• {a \atop b} | \({a \atop b}\)
• {a \choose b} | \({a \choose b}\)
• {a \brack b} | \({a \brack b}\)
• {a \brace b} | \({a \brace b}\)
• generate:
  • {a \above dimension(nullable) b}
    • dimension: xpt; 0.4pt as default; 0pt hide
    • {a \above 0.5pt b} | \({a \above 0.5pt b}\)
    • {a \above {} b} | \({a \above {} b}\) (error in mathjax...)

\(\LaTeX\) style:

• \frac ab | \(\frac ab\)

• \binom ab | \(\binom ab\)

• generate:

  • {\genfrac leftdelimiter rightdelimiter dimension style numerator denominator}
  • leftdelimiter, rightdelimiter, dimension, style, numerator, denominator are all nullable, you could use {} instead
    • style (nullable):
      • 0 denotes \displaystyle
      • 1 denotes \textstyle
      • 2 denotes \scriptstyle
      • 3 denotes \scriptscriptstyle
    • \genfrac(]{0pt}{2}{a+b}{c+d} | \(\genfrac(]{0pt}{2}{a+b}{c+d}\)
    • \genfrac{}{}{0pt}{}{a+b}{c+d} | \(\genfrac{}{}{0pt}{}{a+b}{c+d}\)

• other:

  • \dfrac: fraction in the display style | \(\dfrac ab\)
  • \tfrac: fraction in the text style | \(\tfrac ab\)