Thanks to this blog, I learned to enble MathJax equation numbering in my blog.

However, when I tried to write down equations, it’s so confusing that whether I write down the things I want, and it always takes too much time for trial and error. So I decided to record the trials for future references.

LaTex Grammer

Basic

Inline style: use $...$ to define inline style latex equation

code $sum_{i=0}^Nint_{a}^{b}g(t,i)text{d}t$
show$sum_{i=0}^Nint_{a}^{b}g(t,i)text{d}t$

Display stype: use $$...$$ to define Display style

code$$sum_{i=0}^Nint_{a}^{b}g(t,i)text{d}t$$
show$$sum_{i=0}^Nint_{a}^{b}g(t,i)text{d}t$$

Greak letter

For all letter, check this post.

$alpha$ => $alpha$
$beta$ => $beta$
$delta$ => $delta$
$theta$ => $theta$
$mu$ => $mu$
$pi$ => $pi$
$chi$ => $chi$
$epsilon$ => $epsilon$

…

Capital:
$Gamma$ => $Gamma$
italic:
$varGamma$ => $varGamma$

Letter modifier

super/sub-script

superscript: ^
subscript: _
example: $C_n^2$ => $C_n^2$

Vector

$vec a$ => $vec a$
$overrightarrow{xy}$ => $overrightarrow{xy}$

Group

${}$
example: $10^{10}$ => $10^{10}$ ; $10^10$ => $10^10$

Bracket

$()$ => $()$
$[]$ => $[]$
$\{\} => ${}$

因为 Markdown 文件的处理实际上经过两个步骤，首先 Markdown 引擎把 Markdown 变为 html 文件, 然后 MathJax 再负责解释其中的数学公式。第一步中，由于 backslash 在 Markdown 属于特殊字符，用来转义，所以两个 backslash 经过 Markdown 引擎处理，只剩下一个，等到 MathJax 引擎处理时，实际上只有一个 backslash，MathJax 把它当作 LaTeX 中的空格>

$(frac{x}{y})$ => $(frac{x}{y})$
$left(frac{x}{y}right)$ => $left(frac{x}{y}right)$

sum/lim/integral/fraction/radical

$sum_{i=1}^n{a_i}$ => $sum_{i=1}^n{a_i}$
$lim_{xto 0}{(X+1)}$ => $lim_{xto 0}{(X+1)}$
$int_0^infty{fxdx}$ => $int_0^infty{fxdx}$
$frac{formula1}{formula2}$ => $frac{formula1}{formula2}$
$sqrt[x]{y}$ => $sqrt[x]{y}$

Function

$function(x)$ => $function(x)$
examples: $sin x$ => $sin x$, $ln x$ => $ln x$, $max(a,b,c)$ => $max(a,b,c)$

Special symbol

code	show
$infty$	$infty$
$cup$	$cup$
$cap$	$cap$
$subset$	$subset$
$subseteq$	$subseteq$
$supset$	$supset$
$in$	$in$
$notin$	$notin$
$varnothing$	$varnothing$
$forall$	$forall$
$exists$	$exists$
$lnot$	$lnot$
$nabla$	$nabla$
$partial$	$partial$

Spaces

LaTex will ignore any spaces in the code
$a b$ => $a b$
$aquad b => $aquad b$

Other examples (or test cases):

$x<y$ => $x<y$
$x=y$ => $x=y$
$xleq y$ => $xleq y$
$xneq y$ => $xneq y$
$xgeq y$ => $xgeq y$

Equation number

Thanks to the post here.

Since I deploy this blog using Travis, it’s more easier for me to choose the first way … according to the post above.

According to MathJax official documentation, just paste the following script into the front of your Markdown file,

<script type="text/x-mathjax-config">
MathJax.Hub.Config({
  TeX: { equationNumbers: { autoNumber: "AMS" } }
});
</script>

1
2
3

$$begin{equation}
e=mc^2
end{equation}label{eq1}$$

$downarrow$ ( $downarrow$ )

$$begin{equation}
e=mc^2
end{equation}label{eq1}$$

$$begin{equation}
begin{aligned}
a &= b + c \\
  &= d + e + f + g \\
  &= h + i
end{aligned}
end{equation}label{eq2}$$

$downarrow$

$$begin{equation}
begin{aligned}
a &= b + c \
&= d + e + f + g \
&= h + i
end{aligned}
end{equation}label{eq2}$$

reference equation

for the equations below:

$$begin{align}
a &= b + c label{eq3} \\
x &= yz label{eq4}\\
l &= m - n label{eq5}
end{align}$$

$downarrow$

$$begin{align}
a &= b + c label{eq3} \
x &= yz label{eq4}\
l &= m - n label{eq5}
end{align}$$

You can use $eqref{eq3}$ to refer to equation $eqref{eq3}$, which is the same for $eqref{eq4}$ and $eqref{eq5}$.

font tests

$e$ => $e$
$it{e}$ => $it{e}$

to be continued: Matrix

References

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