Quadratic polynomial

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

Quadratic polynomial (force PNG rendering)

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

Quadratic formula

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

Tall parentheses and fractions

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

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

Integrals

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

Summation

<math>\sum_{i=0}^{n-1} i</math>

<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

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

Complex numbers

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

Limits

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

Integral equation

<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

<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

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

Prefixed subscript

<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

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

Area of a quadrilateral

<math>S=dD\,\sin\alpha\!</math>

Volume of a sphere-stand

<math>V=\tfrac16\pi h\left[3\left(r_1^2+r_2^2\right)+h^2\right]</math>

Multiple equations

 
<math>{\begin{aligned}q_{1}&=\cos 
\left({\frac {\phi -\psi }{2}}\right)\sin \left({\frac {\theta 
}{2}}\right)\\q_{2}&=\sin \left({\frac {\phi -\psi }{2}}\right)\sin 
 \left({\frac {\theta }{2}}\right)\\q_{3}&=\sin \left({\frac {\phi 
+\psi }{2}}\right)\cos \left({\frac {\theta 
}{2}}\right)\\q_{4}&=\cos \left({\frac {\phi +\psi }{2}}\right)\cos 
 \left({\frac {\theta }{2}}\right)\end{aligned}}</math>

T38059

Failed to parse (unknown function "\upgamma"): {\displaystyle {{\upgamma}_{\text{S}}}={{\uprho}_{\text{S}}}\cdot \text{g}\quad[\text{kN}/\text{m}^\text{3}}

Equation references

Failed to parse (unknown function "\begin{equation}"): {\displaystyle \begin{equation}\label{eq1} x = \sin(y) \end{equation}}

The above has label Failed to parse (unknown function "\ref"): {\displaystyle \ref{eq1}}

<math>\begin{equation}\label{eq1}
 x = \sin(y)
 \end{equation}</math>
The above has label <math>\ref{eq1}</math>

CJK

Failed to parse (syntax error): {\displaystyle 中文}

(<math>\text{中文}</math> displays nothing)

Failed to parse (syntax error): {\displaystyle 中\text{文}}

Textstyles

should render as Failed to parse (syntax error): {\displaystyle {\tt teletype\ text}}

should render as Failed to parse (syntax error): {\displaystyle {\sf sanserif\ text}}

Also in Latex 2e

Failed to parse (unknown function "\textmd"): {\displaystyle \textmd{midsize text}} should render as Failed to parse (unknown function "\md"): {\displaystyle {\md midsize\ text}}

Failed to parse (syntax error): {\displaystyle \textup{upper case text}} should render as Failed to parse (unknown function "\up"): {\displaystyle {\up upper\ case\ text}}

Failed to parse (unknown function "\textsl"): {\displaystyle \textsl{slanted text}} should render as Failed to parse (unknown function "\sl"): {\displaystyle {\sl slanted\ text}}

Failed to parse (unknown function "\textsc"): {\displaystyle \textsc{small cap text}} should render as Failed to parse (unknown function "\sc"): {\displaystyle {\sc small\ cap\ text}}

Nesting

Failed to parse (unknown function "\upgamma"): {\displaystyle \textbf{\upgamma{Mathroman}}}

Math font styles

Failed to parse (syntax error): {\displaystyle \mathnormal{normal\ text}}

Sizes

Failed to parse (unknown function "\tiny"): {\displaystyle \tiny tiny}

Failed to parse (unknown function "\scriptsize"): {\displaystyle \scriptsize scriptsize}

Failed to parse (unknown function "\footnotesize"): {\displaystyle \footnotesize footnotesize}

Failed to parse (unknown function "\small"): {\displaystyle \small small}

Failed to parse (unknown function "\normalsize"): {\displaystyle \normalsize normalsize}

Failed to parse (unknown function "\large"): {\displaystyle \large large}

Failed to parse (unknown function "\Large"): {\displaystyle \Large Large}

Failed to parse (unknown function "\LARGE"): {\displaystyle \LARGE LARGE}

Failed to parse (unknown function "\huge"): {\displaystyle \huge huge}

Failed to parse (unknown function "\Huge"): {\displaystyle \Huge Huge}