Formula examples

Chemistry

<ce>C6H5-CHO</ce>
${\ce {C6H5-CHO}}$

<ce>\mathit{A} ->[\ce{+H2O}] \mathit{B}</ce>
${\ce {{\mathit {A}}->[{\ce {+H2O}}]{\mathit {B}}}}$

<ce>{SO4^{2-}} + Ba^2+ -> BaSO4 v</ce>
${\ce {{SO4^{2-}}+Ba^{2}+->BaSO4v}}$

<math chem>A \ce{->[\ce{+H2O}]} B</math>
$A{\ce {->[{\ce {+H2O}}]}}B$

<ce>H2O</ce>
${\ce {H2O}}$

<ce>Sb2O3</ce>
${\ce {Sb2O3}}$

<ce>H+</ce>
${\ce {H+}}$

<ce>CrO4^2-</ce>
${\ce {CrO4^2-}}$

<ce>AgCl2-</ce>
${\ce {AgCl2-}}$

<ce>[AgCl2]-</ce>
${\ce {[AgCl2]-}}$

<ce>Y^{99}+</ce>
${\ce {Y^{99}+}}$

<ce>Y^{99+}</ce>
${\ce {Y^{99+}}}$

<ce>H2_{(aq)}</ce>
${\ce {H2_{(aq)}}}$

<ce>NO3-</ce>
${\ce {NO3-}}$

<ce>(NH4)2S</ce>
${\ce {(NH4)2S}}$

Quadratic Polynomial

$ax^{2}+bx+c=0$

<math>ax^2 + bx + c = 0</math>

Quadratic Polynomial (Force PNG Rendering)

$ax^{2}+bx+c=0\,$

<math>ax^2 + bx + c = 0\,</math>

Quadratic Formula

$x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}$

<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

Tall Parentheses and Fractions

$2=\left({\frac {\left(3-x\right)\times 2}{3-x}}\right)$

<math>2 = \left(
 \frac{\left(3-x\right) \times 2}{3-x}
 \right)</math>

$S_{\text{new}}=S_{\text{old}}-{\frac {\left(5-T\right)^{2}}{2}}$

 <math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>
 

Integrals

$\int _{a}^{x}\!\!\!\int _{a}^{s}f(y)\,dy\,ds=\int _{a}^{x}f(y)(x-y)\,dy$

<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 = \int_a^x f(y)(x-y)\,dy</math>

Summation

$\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }{\frac {m^{2}\,n}{3^{m}\left(m\,3^{n}+n\,3^{m}\right)}}$

<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
 {3^m\left(m\,3^n+n\,3^m\right)}</math>

Differential Equation

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

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

Complex numbers

$|{\bar {z}}|=|z|,|({\bar {z}})^{n}|=|z|^{n},\arg(z^{n})=n\arg(z)$

<math>|\bar{z}| = |z|,
 |(\bar{z})^n| = |z|^n,
 \arg(z^n) = n \arg(z)</math>

Limits

$\lim _{z\rightarrow z_{0}}f(z)=f(z_{0})$

<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>

Integral Equation

$\phi _{n}(\kappa )={\frac {1}{4\pi ^{2}\kappa ^{2}}}\int _{0}^{\infty }{\frac {\sin(\kappa R)}{\kappa R}}{\frac {\partial }{\partial R}}\left[R^{2}{\frac {\partial D_{n}(R)}{\partial R}}\right]\,dR$

<math>\phi_n(\kappa) =
 \frac{1}{4\pi^2\kappa^2} \int_0^\infty
 \frac{\sin(\kappa R)}{\kappa R}
 \frac{\partial}{\partial R}
 \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>

Example

$\phi _{n}(\kappa )=0.033C_{n}^{2}\kappa ^{-11/3},\quad {\frac {1}{L_{0}}}\ll \kappa \ll {\frac {1}{l_{0}}}$

<math>\phi_n(\kappa) = 
 0.033C_n^2\kappa^{-11/3},\quad
 \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>

Continuation and cases

$f(x)={\begin{cases}1&-1\leq x<0\\{\frac {1}{2}}&x=0\\1-x^{2}&{\mbox{otherwise}}\end{cases}}$

<math>
 f(x) =
 \begin{cases}
 1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\
 1 - x^2 & \mbox{otherwise}
 \end{cases}
 </math>

Prefixed subscript

${}_{p}F_{q}(a_{1},\dots ,a_{p};c_{1},\dots ,c_{q};z)=\sum _{n=0}^{\infty }{\frac {(a_{1})_{n}\cdots (a_{p})_{n}}{(c_{1})_{n}\cdots (c_{q})_{n}}}{\frac {z^{n}}{n!}}$

 <math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 = \sum_{n=0}^\infty
 \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
 \frac{z^n}{n!}</math>

Fraction and small fraction

${\frac {a}{b}}$   ${\tfrac {a}{b}}$
<math> \frac {a}{b}\  \tfrac {a}{b} </math>

Alternate Template layout

xⁿ + yⁿ = 1