【LaTex】Mathjax Library (1)

In the last post, we tested some of Latex Cheatsheet's syntax to check if they are transferrable in Mathjax-html environment. However, most of the test turned out to be failure, with most syntax not being printed out as expected.

 

【LaTex】Cheat Sheet Test

 

After some additional research, I found a resource, a stackexchange discussion, with a detailed list of syntax that can be used in lieu of cheatsheet's syntax. Please find the information below.

 

번역본은 밑에 있는 링크를 통해 보실 수 있습니다.

【LaTex】Mathjax Library (1) :: 한글 ver.

 

 

Mathjax
Working Syntax

1. To see how any formula was written in any question or answer, including this one, right-click on the expression it and choose "Show Math As > TeX Commands". (When you do this, the '$' will not display. Make sure you add these. See the next point.)

 

 

Image 1. Show Math As > TeX Commands

 

 

Image 2. Result

 

 

 

2. For inline formulas, enclose the formula in $...$. For displayed formulas, use $$...$$. These render differently.

 

For example, type

 

$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$

to show (inline mode)

 

$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$

 

or type

 

$$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$$

to show (display mode)

 

$$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$$

 

 

 

3. For Greek letters, use \alpha, \beta, …, \omega. For uppercase, use \Gamma, \Delta, …, \Omega.

 

# Lowercase Greek Letters
\alpha, \beta, …, \omega. 

# Uppercase Greek Letters
\Gamma, \Delta, …, \Omega.

 

LowerCase:

 

$$\alpha, \beta, ..., \omega$$

 

 

UpperCase:

 

$$\Gamma, \Delta, ..., \Omega$$

 

 

 

4. For superscripts and subscripts, use ^ and _. 

 

For example,

x_i
x^2
x_i^2

\log_2
\sigma_x^2 \sigma_y^2

 

Result:

$$ x_i$$ $$x^2$$ $$x_i^2$$ $$\log_2$$ $$\sigma_x^2 \sigma_y^2 $$

 

 

5. Groups. Superscripts, subscripts, and other operations apply only to the next “group”. A “group” is either a single symbol, or any formula surrounded by curly braces {…}. If you do 10^10, you will get a surprise: 1010. But 10^{10} gives what you probably wanted: $10^{10}$. Use curly braces to delimit a formula to which a superscript or subscript applies.

 

 

 

x^5^6  >>> Error 

Observe the difference between:

{x^y}^z 
x^{y^z} 

x_i^2 x2i 
x_{i^2} xi2

 

Results:

$$x^5^6$$ $${x^y}^z$$ $$x^{y^z}$$ $$x_i^2 x2i $$ $$x_{i^2} xi2$$

 

 

{i^2} is interprested as square of i instead of squaring $x_i$. 

 

 

6. Parentheses Ordinary symbols ()[] make parentheses and brackets (2+3)[4+4]. Use \{ and \} for curly braces {}.

These do not scale with the formula in between, so if you write (\frac{\sqrt x}{y^3}) the parentheses will be too small: $(\frac{\sqrt x}{y^3})$. Using \left(…\right) will make the sizes adjust automatically to the formula they enclose: $\left(\frac{\sqrt x}{y^3}\right)$ is (√xy3).

\left and\right apply to all the following sorts of parentheses:

 

( and )               \left(x\right)
[ and ]               \left[x\right]
\{ and \}             \left\{x\right\}
|                     \left|x\right|
\vert                 \left\vert x\right\vert
\Vert                 \left\Vert x \right\Vert
\langle and \rangle   \langle x \rangle
\lceil and \rceil     \lceil x \rceil
\lfloor and \rfloor   \lfloor x \rfloor

Results:

( and )   $\left(x\right)$

[ and ]   $\left[x\right]$

\{ and \}   $\left\{x\right\}$

|   $\left|x\right|$

\vert   $\left\vert x\right\vert$

\Vert   $\left\Vert x \right\Vert$

\langle and \rangle    $\langle x \rangle$

\lceil and \rceil    $\lceil x \rceil$

\lfloor and \rfloor    $\lfloor x \rfloor$

 

\middle ( $\middle$) can be used to add additional dividers. There are also invisible parentheses, denoted by .: \left.\frac12\right\rbrace is 12}. ($\left.\frac12\right\rbrace$).

 

If manual size adjustments are required: \Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) gives $\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)$.

 

 

We will continue with the next 6 tips in the next post.