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Help:Displaying a formula: Difference between revisions

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<math chem>(NH4)2S</math>
 
==Examples of implemented TeX formulas==
===Quadratic Polynomial===
===Quadratic polynomial===
<math>ax^2 + bx + c = 0</math>
{{markupv
<nowiki>|r=<math>ax^2 + bx + c = 0</math></nowiki>
|m=<syntaxhighlight lang="latex" inline><math>ax^2 + bx + c = 0</math></syntaxhighlight>
}}
 
===Quadratic Polynomial (Force PNG Rendering)formula=== <!--T:105-->
{{markupv
<math>ax^2 + bx + c = 0\,</math>
|r=<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
|m=<syntaxhighlight lang="latex" inline><math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math></syntaxhighlight>
<nowiki><math>ax^2 + bx + c = 0\,</math></nowiki>
}}
 
===Quadratic Formula===
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
<nowiki><math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math></nowiki>
 
===Tall Parentheses and Fractions ===
<math>2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)</math>
<nowiki><math>2 = \left(
\frac{\left(3-x\right) \times 2}{3-x}
\right)</math></nowiki>
 
===Tall parentheses and fractions===
{{markupv
|r=<math>2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)</math>
|m=<syntaxhighlight lang="latex" inline><math>2 = \left(
\frac{\left(3-x\right) \times 2}{3-x}
\right)</math></syntaxhighlight>
}}
{{markupv
|r=<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>
|m=<syntaxhighlight lang="latex" inline>
<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>
</syntaxhighlight>
<nowiki>
}}
<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>
</nowiki>
 
===Integrals===
{{markupv
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy</math>
|r=<math>\int_a^x \int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy</math>
|m=<nowikisyntaxhighlight lang="latex" inline><math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
= \int_a^x f(y)(x-y)\,dy</math></nowikisyntaxhighlight>
}}
{{markupv
|r=<math>\int_e^{\infty}\frac {1}{t(\ln t)^2}dt = \left. \frac{-1}{\ln t} \right\vert_e^\infty = 1</math>
|m=<syntaxhighlight lang="latex" inline><math>\int_e^{\infty}\frac {1}{t(\ln t)^2}dt = \left. \frac{-1}{\ln t} \right\vert_e^\infty = 1</math></syntaxhighlight>
}}
 
===Matrices and determinants===
{{markupv
|r=<math>\det(\mathsf{A}-\lambda\mathsf{I}) = 0</math>
|m=<syntaxhighlight lang="latex" inline><math>\det(\mathsf{A}-\lambda\mathsf{I}) = 0</math></syntaxhighlight>
}}
 
===Summation===
{{markupv
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}</math>
|r=<math>\sum_{i=0}^{n-1} i</math>
|m=<nowikisyntaxhighlight lang="latex" inline><math>\sum_{mi=10}^\infty\sum_{n=-1}^\infty\frac{m^2\,n} i</math></syntaxhighlight>
}}
{3^m\left(m\,3^n+n\,3^m\right)}</math></nowiki>
{{markupv
 
|r=<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 ===
|m=<syntaxhighlight lang="latex" inline><math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2 n}{3^m\left(m 3^n + n 3^m\right)}</math></syntaxhighlight>
<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>
}}
<nowiki><math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math></nowiki>
 
===Differential equation===
{{markupv
|r=<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>
|m=<syntaxhighlight lang="latex" inline><math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math></syntaxhighlight>
}}
===Complex numbers===
{{markupv
<math>|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)</math>
|r=<math>|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)</math>
|m=<nowikisyntaxhighlight lang="latex"><math>|\bar{z}| = |z|,
|(\bar{z})^n| = |z|^n,
\arg(z^n) = n \arg(z)</math></nowikisyntaxhighlight>
}}
 
===Limits=== <!--T:113-->
{{markupv
<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>
|r=<math>\lim_{z\to z_0} f(z)=f(z_0)</math>
|m=<nowikisyntaxhighlight lang="latex" inline><math>\lim_{z\rightarrowto z_0} f(z)=f(z_0)</math></nowikisyntaxhighlight>
}}
 
===Integral Equationequation===
{{markupv
<math>\phi_n(\kappa)
|r=<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>
\frac{1}{4\pi^2\kappa^2} \int_0^\infty
<nowiki><math>\phi_nfrac{\sin(\kappa R)}{\kappa =R}
\frac{1\partial}{4\pi^2\kappa^2partial R} \int_0^\infty
\left [ R^2\frac{\sin(\kappapartial D_n(R)}{\kappapartial R} \right ] \,dR</math>
|m=<syntaxhighlight lang="latex"><math>\phi_n(\kappa) =
\frac{\partial}{\partial R}
\frac{1}{4\pi^2\kappa^2} \int_0^\infty
\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math></nowiki>
\frac{\sin(\kappa R)}{\kappa R}
\frac{\partial}{\partial R}
\left [ R^2\frac{\partial D_n(R)}{\partial R} \right ] \,dR</math></syntaxhighlight>
}}
 
===Example===
{{markupv
<math>\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>
|r=<math>\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>
|m=<nowikisyntaxhighlight lang="latex"><math>\phi_n(\kappa) =
0.033C_n^2\kappa^{-11/3},\quad
\frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math></nowikisyntaxhighlight>
}}
 
===Continuation and cases===
{{markupv
<math>f(x) = \begin{cases}1 & -1 \le x < 0 \\
|r=<math>f(x) = \begin{cases}1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\ 1 - x^2 & \mbox{otherwise}\end{cases}</math>
\frac{1}{2} & x = 0 \\ 1 - x^2 & \text{otherwise}\end{cases}</math>
|m=<syntaxhighlight lang="latex"><math>f(x) =
<nowiki><math>
\begin{cases}
f(x) =
1 & -1 \le x < 0 \\
\begin{cases}
1 & -1 \lefrac{1}{2} & x <= 0 \\
1 - x^2 & \text{otherwise}
\frac{1}{2} & x = 0 \\
\end{cases}</math></syntaxhighlight>
1 - x^2 & \mbox{otherwise}
}}
\end{cases}
</math></nowiki>
 
===Prefixed subscript===
{{markupv
<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>
|r=<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>
|m=<nowikisyntaxhighlight lang="latex"> <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></nowikisyntaxhighlight>
}}
 
===Fraction and small fraction===
{{markupv
<math> \frac {a}{b}</math> &emsp; <math> \tfrac {a}{b} </math>
<nowiki>|r=<math> \frac {a}{b}\ \tfrac {a}{b} </math></nowiki>
|m=<syntaxhighlight lang="latex" inline><math>\frac{a}{b}\ \tfrac{a}{b}</math></syntaxhighlight>
}}
 
===Area of a quadrilateral===
{{markupv
|r=<math>S=dD\sin\alpha</math>
|m=<syntaxhighlight lang="latex" inline><math>S=dD\sin\alpha</math></syntaxhighlight>
}}
 
===Volume of a sphere-stand===
{{markupv
|r=<math> V = \frac{1}{6} \pi h \left [ 3 \left( r_1^2+r_2^2 \right) + h^2 \right ] </math>
|m=<syntaxhighlight lang="latex" inline><math> V = \frac{1}{6} \pi h \left [ 3 \left ( r_1^2 + r_2^2 \right ) + h^2 \right ] </math></syntaxhighlight>
}}
 
===Multiple equations===
 
The altered newline code <code>\\[0.6ex]</code> below adds a vertical space between the two lines of length equal to <math>0.6</math> times the height of a single '<code>x</code>' character.
 
{{markupv
|r=<math>\begin{align}
u & = \tfrac{1}{\sqrt{2}}(x+y) \qquad & x &= \tfrac{1}{\sqrt{2}}(u+v) \\[0.6ex]
v & = \tfrac{1}{\sqrt{2}}(x-y) \qquad & y &= \tfrac{1}{\sqrt{2}}(u-v)
\end{align}</math>
|m=<syntaxhighlight lang="latex"><math>\begin{align}
u & = \tfrac{1}{\sqrt{2}}(x+y) \qquad & x &= \tfrac{1}{\sqrt{2}}(u+v) \\[0.6ex]
v & = \tfrac{1}{\sqrt{2}}(x-y) \qquad & y &= \tfrac{1}{\sqrt{2}}(u-v)
\end{align}</math></syntaxhighlight>
}}
 
</center>
==See also==
*[[w:Wikipedia:How to write a Wikipedia article on Mathematics#Typesetting_of_mathematical_formulas|Typesetting of mathematical formulas]]
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