Formula examples

Chemistry

<ce>C6H5-CHO</ce>
$\mathrm{C}{\phantom{A}}_6\mathrm{H}{\phantom{A}}_5-\mathrm{C}\mathrm{H}\mathrm{O}$

<ce>\mathit{A} ->[\ce{+H2O}] \mathit{B}</ce>
${A}\stackrel{+\mathrm{H}{\phantom{A}}_2\mathrm{O}}{\to }{B}$

<ce>{SO4^{2-}} + Ba^2+ -> BaSO4 v</ce>
$\mathrm{S}\mathrm{O}{\mathrm{4}}^{\mathrm{2}\text{-}}+\mathrm{B}\mathrm{a}{\phantom{A}}^{2+}⟶\mathrm{B}\mathrm{a}\mathrm{S}\mathrm{O}{\phantom{A}}_4\downarrow$

<math chem>A \ce{->[\ce{+H2O}]} B</math>
$A\stackrel{+\mathrm{H}{\phantom{A}}_2\mathrm{O}}{\to }B$

<ce>H2O</ce>
$\mathrm{H}{\phantom{A}}_2\mathrm{O}$

<ce>Sb2O3</ce>
$\mathrm{S}\mathrm{b}{\phantom{A}}_2\mathrm{O}{\phantom{A}}_3$

<ce>H+</ce>
$\mathrm{H}{\phantom{A}}^{+}$

<ce>CrO4^2-</ce>
$\mathrm{C}\mathrm{r}\mathrm{O}{\phantom{A}}_4{\phantom{A}}^{2-}$

<ce>AgCl2-</ce>
$\mathrm{A}\mathrm{g}\mathrm{C}\mathrm{l}{\phantom{A}}_2{\phantom{A}}^{-}$

<ce>[AgCl2]-</ce>
$[\mathrm{A}\mathrm{g}\mathrm{C}\mathrm{l}{\phantom{A}}_2]{\phantom{A}}^{-}$

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

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

<ce>H2_{(aq)}</ce>
$\mathrm{H}{\phantom{A}}_2{\phantom{A}}_{(\mathrm{a}\mathrm{q})}$

<ce>NO3-</ce>
$\mathrm{N}\mathrm{O}{\phantom{A}}_3{\phantom{A}}^{-}$

<ce>(NH4)2S</ce>
$(\mathrm{N}\mathrm{H}{\phantom{A}}_4){\phantom{A}}_2\mathrm{S}$

Quadratic Polynomial

$a{x}^2+bx+c=0$

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

Quadratic Polynomial (Force PNG Rendering)

$a{x}^2+bx+c=0$

<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

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

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

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

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

Integrals

$\underset{a}{\overset{x}{\int }}\underset{a}{\overset{s}{\int }}f(y)dyds=\underset{a}{\overset{x}{\int }}f(y)(x-y)dy$

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

Summation

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

<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

$u^{″}+p(x)u^{\prime }+q(x)u=f(x),x>a$

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

Complex numbers

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

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

Limits

$\underset{z\to z_0}{\lim }f(z)=f(z_0)$

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

Integral Equation

${\varphi }_n(\kappa )=\frac{1}{4{\pi }^2{\kappa }^2}\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{\sin (\kappa R)}{\kappa R}\frac{\partial }{\partial R}\left[R^2\frac{\partial D_n(R)}{\partial R}\right]dR$

<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

${\varphi }_n(\kappa )=0.033C_n^2{\kappa }^{-11/3},\frac{1}{L_0}\ll \kappa \ll \frac{1}{l_0}$

<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

$f(x)=\{\begin{array}{ll}1& -1\le x<0\\ \frac{1}{2}& x=0\\ 1-x^2& \text{otherwise}\end{array}$

<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

${}_p{F}_q(a_1,\dots ,a_p;c_1,\dots ,c_q;z)=\sum _{n=0}^{\mathrm{\infty }}\frac{(a_1{)}_n\cdots (a_p{)}_n}{(c_1{)}_n\cdots (c_q{)}_n}\frac{z^n}{n!}$

 <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

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

Alternate Template layout

xⁿ + yⁿ = 1