Help:Math

This page explains the Math syntax that can be used in order to format mathematical equations or chemical equations. For example:

${{x^{12}+x+5}\over{x^{y/z}}}=2$

Syntax

The syntax for displaying a formula is:

<math>{equation}</math>

Where "equation" is replaced by the wanted equation.

Equation Formatting

Description	You type	You get
Exponent	<math>x^2</math>	$x^2$
Exponent Grouping	<math>x^{21+y}</math>	$x^{21+y}$
Subscript	<math>CO_2</math>	$CO_2$
Subscript Grouping	<math>a_{i,j}</math>	$a_{i,j}$
Fraction	<math>1\over2</math> <math>\frac{x}{y}=z</math>	$1\over2$ $\frac{x}{y}=z$
Fraction Grouping	<math>{x+y}\over{2(x-y)}</math>	${x+y}\over{2(x-y)}$
Square Root	<math>\sqrt{2}</math>	$\sqrt{2}$
Log	<math>\exp_a b = a^b, \exp b = e^b, 10^m</math> <math>\ln c, \lg d = \log e, \log_{10} f</math>	$\exp_a b = a^b, \exp b = e^b, 10^m$ $\ln c, \lg d = \log e, \log_{10} f$
Trig	<math>\sin a, \cos b, \tan c, \cot d, \sec e, \csc f</math> <math>\arcsin h, \arccos i, \arctan j</math>	$\sin a, \cos b, \tan c, \cot d, \sec e, \csc f$ $\arcsin h, \arccos i, \arctan j$
Derivative	<math>\operatorname{d}y/\operatorname{d}x {\operatorname{d}y\over\operatorname{d}x} {\partial^2\over\partial x_1\partial x_2}y</math>	$\operatorname{d}y/\operatorname{d}x, {\operatorname{d}y\over\operatorname{d}x}, {\partial^2\over\partial x_1\partial x_2}y$
Integral	<math>\int\limits_{1}^{3} x \, dx</math>	$\int\limits_{1}^{3} x \, dx$
Double Integral	<math>\iint\limits_{1}^{3} x \, dx</math>	$\iint\limits_{1}^{3} x \, dx$

Symbols

Description	You type	You get
Operators	<math>+, -, \pm, \mp, \dotplus </math> <math>\times, \div, \divideontimes, /, \backslash</math> <math>\cdot, * \ast, \star, \circ, \bullet</math>	$+, -, \pm, \mp, \dotplus$ $\times, \div, \divideontimes, /, \backslash$ $\cdot, * \ast, \star, \circ, \bullet$
Relations	<math>=, \ne \neq, \equiv, \not\equiv</math> <math>\doteq, \overset{\underset{\mathrm{def}}{}}{=}, :=</math> <math>\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong</math> <math><, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot</math> <math>>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot</math> <math>\le \leq, \lneq, \leqq, \nleqq, \lneqq, \lvertneqq</math> <math>\ge \geq, \gneq, \geqq, \ngeqq, \gneqq, \gvertneqq</math>	$=, \ne \neq, \equiv, \not\equiv$ $\doteq, \overset{\underset{\mathrm{def}}{}}{=}, :=$ $\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong$ $<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot$ $>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot$ $\le \leq, \lneq, \leqq, \nleqq, \lneqq, \lvertneqq$ $\ge \geq, \gneq, \geqq, \ngeqq, \gneqq, \gvertneqq$
Greek	<math>\alpha</math> Where alpha can be replaced by: alpha, beta, gamma, delta, epsilon, zeta, eta, theta, iota, kappa, lambda, mu, nu, xi, omicron, pi, rho, sigma, tau, upsilon, phi, chi, psi, omega, Gamma, Delta, Theta, Lambda, Xi, Pi, Sigma, Phi ,Psi, Omega	$\alpha , \beta , \gamma , \delta , \epsilon , \zeta , \eta , \theta , \iota , \kappa , \lambda , \mu , \nu , \xi , \omicron , \pi , \rho , \sigma , \tau , \upsilon , \phi , \chi , \psi , \omega , \Gamma , \Delta , \Theta , \Lambda , \Xi , \Pi , \Sigma , \Phi , \Psi , \Omega$
Arrows	<math>\Rightarrow</math> Where "Rightarrow" can be replaced by: Rightarrow, nRightarrow, Leftarrow, nLeftarrow, Leftrightarrow, nLeftrightarrow, Uparrow, Downarrow, Updownarrow rightarrow \to, nrightarrow, longrightarrow, leftarrow \gets, nleftarrow, longleftarrow, leftrightarrow, nleftrightarrow, longleftrightarrow rightharpoonup, rightharpoondown, leftharpoonup, leftharpoondown, upharpoonleft, upharpoonright, downharpoonleft, downharpoonright, rightleftharpoons, leftrightharpoons	$\Rightarrow, \nRightarrow , \Leftarrow, \nLeftarrow , \Leftrightarrow, \nLeftrightarrow , \Uparrow, \Downarrow, \Updownarrow$ $\rightarrow \to, \nrightarrow, \longrightarrow , \leftarrow \gets, \nleftarrow, \longleftarrow , \leftrightarrow, \nleftrightarrow, \longleftrightarrow$ $\rightharpoonup , \rightharpoondown , \leftharpoonup , \leftharpoondown , \upharpoonleft , \upharpoonright \downharpoonleft , \downharpoonright , \rightleftharpoons , \leftrightharpoons$

Examples

Reactions

<math> CH_4 + \frac{2}{\Phi} (O_2 + 3.76N_2) \Rightarrow CO_2 + 2H_2O + \frac{2}{\Phi} 3.76 N_2</math>

$CH_4 + \frac{2}{\Phi} (O_2 + 3.76N_2) \Rightarrow CO_2 + 2H_2O + \frac{2}{\Phi} 3.76 N_2$

Equations

<math>x^{\alpha} + x^{\beta} + x^{\gamma + 2 \zeta} + x =5</math>

$x^{\alpha} + x^{\beta} + x^{\gamma + 2 \zeta} + x =5$

Differential Equations

<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>

$u'' + p(x)u' + q(x)u=f(x),\quad x>a$

Color

<math>{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}</math>

${\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}$

Additional Info

Wikipedia Help: Displaying a Formula