LaTeX math markup
From SklogWiki
Note: this page is a subsection of the Wikipedia page Help:Displaying a formula.
[edit] Subscripts, superscripts, integrals
| Feature | Syntax | How it looks rendered | |
|---|---|---|---|
| HTML | PNG | ||
| Superscript | a^2 |
\(a^2\) | \(a^2 \,\!\) |
| Subscript | a_2 |
\(a_2\) | \(a_2 \,\!\) |
| Grouping | a^{2+2} |
\(a^{2+2}\) | \(a^{2+2}\,\!\) |
a_{i,j} |
\(a_{i,j}\) | \(a_{i,j}\,\!\) | |
| Combining sub & super | x_2^3 |
\(x_2^3\) | |
| Preceding and/or Additional sub & super | \sideset{_1^2}{_3^4}\prod_a^b |
\(\sideset{_1^2}{_3^4}\prod_a^b\) | |
{}_1^2\!\Omega_3^4 |
\({}_1^2\!\Omega_3^4\) | ||
| Stacking | \overset{\alpha}{\omega} |
\(\overset{\alpha}{\omega}\) | |
\underset{\alpha}{\omega} |
\(\underset{\alpha}{\omega}\) | ||
\overset{\alpha}{\underset{\gamma}{\omega}} |
\(\overset{\alpha}{\underset{\gamma}{\omega}}\) | ||
\stackrel{\alpha}{\omega} |
\(\stackrel{\alpha}{\omega}\) | ||
| Derivative (forced PNG) | x', y, f', f\! |
\(x', y'', f', f''\!\) | |
| Derivative (f in italics may overlap primes in HTML) | x', y, f', f |
\(x', y'', f', f''\) | \(x', y'', f', f''\!\) |
| Derivative (wrong in HTML) | x^\prime, y^{\prime\prime} |
\(x^\prime, y^{\prime\prime}\) | \(x^\prime, y^{\prime\prime}\,\!\) |
| Derivative (wrong in PNG) | x\prime, y\prime\prime |
\(x\prime, y\prime\prime\) | \(x\prime, y\prime\prime\,\!\) |
| Derivative dots | \dot{x}, \ddot{x} |
\(\dot{x}, \ddot{x}\) | |
| Underlines, overlines, vectors | \hat a \ \bar b \ \vec c |
\(\hat a \ \bar b \ \vec c\) | |
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} |
\(\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}\) | ||
\overline{g h i} \ \underline{j k l} |
\(\overline{g h i} \ \underline{j k l}\) | ||
| Arrows | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
\( A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C\) | |
| Overbraces | \overbrace{ 1+2+\cdots+100 }^{5050} |
\(\overbrace{ 1+2+\cdots+100 }^{5050}\) | |
| Underbraces | \underbrace{ a+b+\cdots+z }_{26} |
\(\underbrace{ a+b+\cdots+z }_{26}\) | |
| Sum | \sum_{k=1}^N k^2 |
\(\sum_{k=1}^N k^2\) | |
Sum (force \textstyle) |
\textstyle \sum_{k=1}^N k^2 |
\(\textstyle \sum_{k=1}^N k^2\) | |
| Product | \prod_{i=1}^N x_i |
\(\prod_{i=1}^N x_i\) | |
Product (force \textstyle) |
\textstyle \prod_{i=1}^N x_i |
\(\textstyle \prod_{i=1}^N x_i\) | |
| Coproduct | \coprod_{i=1}^N x_i |
\(\coprod_{i=1}^N x_i\) | |
Coproduct (force \textstyle) |
\textstyle \coprod_{i=1}^N x_i |
\(\textstyle \coprod_{i=1}^N x_i\) | |
| Limit | \lim_{n \to \infty}x_n |
\(\lim_{n \to \infty}x_n\) | |
Limit (force \textstyle) |
\textstyle \lim_{n \to \infty}x_n |
\(\textstyle \lim_{n \to \infty}x_n\) | |
| Integral | \int\limits_{-N}^{N} e^x\, dx |
\(\int\limits_{-N}^{N} e^x\, dx\) | |
Integral (force \textstyle) |
\textstyle \int\limits_{-N}^{N} e^x\, dx |
\(\textstyle \int\limits_{-N}^{N} e^x\, dx\) | |
| Double integral | \iint\limits_{D} \, dx\,dy |
\(\iint\limits_{D} \, dx\,dy\) | |
| Triple integral | \iiint\limits_{E} \, dx\,dy\,dz |
\(\iiint\limits_{E} \, dx\,dy\,dz\) | |
| Quadruple integral | \iiiint\limits_{F} \, dx\,dy\,dz\,dt |
\(\iiiint\limits_{F} \, dx\,dy\,dz\,dt\) | |
| Path integral | \oint\limits_{C} x^3\, dx + 4y^2\, dy |
\(\oint\limits_{C} x^3\, dx + 4y^2\, dy\) | |
| Intersections | \bigcap_1^{n} p |
\(\bigcap_1^{n} p\) | |
| Unions | \bigcup_1^{k} p |
\(\bigcup_1^{k} p\) | |
[edit] Fractions, matrices, multilines
| Feature | Syntax | How it looks rendered |
|---|---|---|
| Fractions | \frac{2}{4}=0.5 |
\(\frac{2}{4}=0.5\) |
| Small Fractions | \tfrac{2}{4} = 0.5 |
\(\tfrac{2}{4} = 0.5\) |
| Large (normal) Fractions | \dfrac{2}{4} = 0.5 |
\(\dfrac{2}{4} = 0.5\) |
| Large (nested) Fractions | \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a |
\(\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a\) |
| Binomial coefficients | \binom{n}{k} |
\(\binom{n}{k}\) |
| Small Binomial coefficients | \tbinom{n}{k} |
\(\tbinom{n}{k}\) |
| Large (normal) Binomial coefficients | \dbinom{n}{k} |
\(\dbinom{n}{k}\) |
| Matrices | \begin{matrix}
x & y \\
z & v
\end{matrix} |
\(\begin{matrix} x & y \\ z & v \end{matrix}\) |
\begin{vmatrix}
x & y \\
z & v
\end{vmatrix} |
\(\begin{vmatrix} x & y \\ z & v \end{vmatrix}\) | |
\begin{Vmatrix}
x & y \\
z & v
\end{Vmatrix} |
\(\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}\) | |
\begin{bmatrix}
0 & \cdots & 0 \\
\vdots & \ddots & \vdots \\
0 & \cdots & 0
\end{bmatrix} |
\(\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0\end{bmatrix} \) | |
\begin{Bmatrix}
x & y \\
z & v
\end{Bmatrix} |
\(\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}\) | |
\begin{pmatrix}
x & y \\
z & v
\end{pmatrix} |
\(\begin{pmatrix} x & y \\ z & v \end{pmatrix}\) | |
\bigl( \begin{smallmatrix}
a&b\\ c&d
\end{smallmatrix} \bigr)
|
\( \bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) \) | |
| Case distinctions |
f(n) =
\begin{cases}
n/2, & \mbox{if }n\mbox{ is even} \\
3n+1, & \mbox{if }n\mbox{ is odd}
\end{cases} |
\(f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} \) |
| Multiline equations |
\begin{align}
f(x) & = (a+b)^2 \\
& = a^2+2ab+b^2 \\
\end{align}
|
\( \begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align} \) |
\begin{alignat}{2}
f(x) & = (a-b)^2 \\
& = a^2-2ab+b^2 \\
\end{alignat}
|
\( \begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat} \) | |
| Multiline equations (must define number of colums used ({lcr}) (should not be used unless needed) |
\begin{array}{lcl}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array} |
\(\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}\) |
| Multiline equations (more) |
\begin{array}{lcr}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array} |
\(\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}\) |
| Breaking up a long expression so that it wraps when necessary |
<math>f(x) \,\!</math>
<math>= \sum_{n=0}^\infty a_n x^n </math>
<math>= a_0+a_1x+a_2x^2+\cdots</math>
|
\(f(x) \,\!\)\(= \sum_{n=0}^\infty a_n x^n \)\(= a_0 +a_1x+a_2x^2+\cdots\) |
| Simultaneous equations | \begin{cases}
3x + 5y + z \\
7x - 2y + 4z \\
-6x + 3y + 2z
\end{cases} |
\(\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}\) |
