Grammar
- in a line ` $mathematical formula$`
- in another line
$$mathematical formula$$
Blank in $LaTex$
- $a \qquad b$
- $a \quad b$
- $a \ b$
- $a \; b$
- $a \, b$
Matrix
\[\begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \tag{1}\] \[\left\{ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right\} \tag{2}\] \[\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right] \tag{3}\] \[\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \tag{4}\] \[\begin{Bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{Bmatrix} \tag{5}\]\(\left[ \begin{matrix} 1 & 2 & \cdots & 4 \\ 7 & 6 & \cdots & 5 \\ \vdots & \vdots & \ddots & \vdots \\ 8 & 9 & \cdots & 0 \\ \end{matrix} \right] \tag{6}\)
Formula aligned
\[\begin{eqnarray} a & = & b + c \\ & = & d + e + f + g + h + ij + k + l \\ && +\: m + n + o \\ & = & p + q + r + s \end{eqnarray}\] \[sign(x)=\begin {cases} +1, & x\geq0 \\ -1, & x<0 \end {cases}\]Code Block
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int main(){
printf(“hello world!\n”);
return 0;
}
Superscript and Subscript
-
^to superscript -
_to subscript-
use
{ }to represent a union$x = a_{1}^n + a_{2}^n + a_{3}^n$
-
use
\sidesetto have scripts both sidese.g. $\sideset{^1_2}{^3_4}A$
-
-
use
\overline{ }to $\overline{A}$ -
use
\underline{ }to $\underline{A}$ -
use
\hat{ }to $\hat{y}$, use\check{ }to $\check{y}$, and use\breve{ }to $\breve{y}$. -
use
\widehat{ }to $ \widehat{abc} $ -
use
\widetilde{ }to $\widetilde{abc}$ -
use
\overbrace{ }^{ }to $\overbrace{a + b + c}^{3}$ -
$\vec{a}$
Brackets
-
( ),[ ], and|represent themselves, but{ }need be represent by\lbrace \rbracesometime. -
Bracks Code { \lbrace} \rbrace⟨ \langle⟩ \rangle⌈ \lceil⌉ \rceil⌊ \lfloor⌋ \rfloor
Fraction
-
use grammar like
\cfrac or \frac{denominator}{numerator}- e.g. $\cfrac{1}{3}\(and\)\frac{1}{3}$
Square Root
-
use
\sqrt[exponent]{radicand}e.g. $ \sqrt[3]{5 - x}$
Vector
-
use
\vec{ }e.g. $\vec{a}$
Greek Letter
| Code | Capital Letter | Code | Lower Case |
|---|---|---|---|
A |
A | \alpha |
$\alpha$ |
B |
B | \beta |
$\beta$ |
\Gamma |
$\Gamma$ | \gamma |
$\gamma$ |
\Delta |
$\Delta$ | \delta |
$\delta$ |
E |
E | \epsilon |
$\epsilon$ |
Z |
Z | \zeta |
$\zeta$ |
H |
H | \eta |
$\eta$ |
\Theta |
$\Theta$ | \theta |
$\theta$ |
I |
I | \iota |
$\iota$ |
K |
K | \kappa |
$\kappa$ |
\Lambda |
$\Lambda$ | \lambda |
$\lambda$ |
M |
M | \mu |
$\mu$ |
N |
N | \nu |
$\nu$ |
\Xi |
$\Xi$ | \xi |
$\xi$ |
O |
O | \omicron |
$\omicron$ |
\Pi |
$\Pi$ | \pi |
$\pi$ |
\Sigma |
$\Sigma$ | \rho |
$\rho$ |
T |
T | \sigma |
$\sigma$ |
\Upsilon |
$\Upsilon$ | \upsilon |
$\upsilon$ |
\Phi |
$\Phi$ | \phi |
$\phi$ |
X |
X | \chi |
$\chi$ |
\Psi |
$\Psi$ | \psi |
$\psi$ |
\Omega |
$\Omega$ | \omega |
$\omega$ |
Special Alphabet
| Symbol | Code |
|---|---|
| $\aleph$ | \aleph |
Font
| Symbol | Code |
|---|---|
| $\mathbb {A}$ | \mathbb{A} |
| $\mathfrak {B}$ | \mathfrak{B} |
| $\mathcal {C}$ | \mathcal{C} |
| $\mathbf{d}$ | \mathbf{d} |
Relational Operators
| Symbol | Code |
|---|---|
| $\pm$ | \pm |
| $\times$ | \times |
| $\div$ | \div |
| $\mid$ | \mid |
| $\nmid$ | \nmid |
| $\cdot$ | \cdot |
| $\circ$ | \circ |
| $\ast$ | \ast |
| $\bigodot$ | \bigodot |
| $\bigotimes$ | \bigotimes |
| $\bigoplus$ | \bigoplus |
| $\ll$ | \ll |
| $\gg$ | \gg |
| $\leq$ | \leq |
| $\geq$ | \geq |
| $\neq$ | \neq |
| $\approx$ | \approx |
| $\sum$ | \sum{ } |
| $\prod$ | \prod{ } |
| $\coprod$ | \coprod |
Set Operators
| Symbol | Code |
|---|---|
| $\emptyset$ | \emptyset |
| $\wp(\ )$ | \wp( ) |
| $\in$ | \in |
| $\notin$ | \notin |
| $\subset$ | \subset |
| $\supset$ | \supset |
| $\subseteq$ | \subseteq |
| $\supseteq$ | \supseteq |
| $\bigcap$ | \bigcap |
| $\bigcup$ | \bigcup |
| $\bigvee$ | \bigvee |
| $\bigwedge$ | \bigwedge |
| $\biguplus$ | \biguplus |
| $\bigsqcup$ | \bigsqcup |
Logical Operators
| Symbol | Code |
|---|---|
| $\because$ | \because |
| $\therefore$ | \therefore |
| $\forall$ | \forall |
| $\exists$ | \exists |
| $\not=$ | \not= |
| $\not>$ | \not> |
| $\not\subset$ | \not\subset |
Trigonometric Operators
| Symbol | Code |
|---|---|
| $\bot$ | \bot |
| $\angle$ | \angle |
| $\sin$ | \sin |
| $\cos$ | \cos |
| $\tan$ | \tan |
| $\cot$ | \cot |
| $\sec$ | \sec |
| $\csc$ | \csc |
| $^\circ$ | ^\circ |
Calculus Operators
| Symbol | Code |
|---|---|
| $\prime$ | \prime |
| $\int$ | \int |
| $\iint$ | \iint |
| $\iiint$ | \iiint |
| $\oint$ | \oint |
| $\lim$ | \lim |
| $\infty$ | \infty |
| $\nabla$ | \nabla |
| $\mathrm{d}$ | \mathrm{d}or {\rm d} |
Arrow Symbols
| Symbol | Code |
|---|---|
| $\uparrow$ | \uparrow |
| $\downarrow$ | \downarrow |
| $\Uparrow$ | \Uparrow |
| $\Downarrow$ | \Downarrow |
| $\rightarrow$ | \rightarrow |
| $\leftarrow$ | \leftarrow |
| $\Rightarrow$ | \Rightarrow |
| $\Leftarrow$ | \Leftarrow |
| $\longrightarrow$ | \longrightarrow |
| $\longleftarrow$ | \longleftarrow |
| $\Longrightarrow$ | \Longrightarrow |
| $\Longleftarrow$ | \Longleftarrow |
