「Meta:Guides/Style Guide/Formulas」の版間の差分
細 (latex formulas help page) |
細 (1版 をインポートしました) |
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2018年6月29日 (金) 04:42時点における最新版
目次
- 1 Writing mathematical formulas using latex syntax
- 1.1 Examples
- 1.1.1 Quadratic Polynomial
- 1.1.2 Quadratic Polynomial (Force PNG Rendering)
- 1.1.3 Quadratic Formula
- 1.1.4 Tall Parentheses and Fractions
- 1.1.5 Integrals
- 1.1.6 Summation
- 1.1.7 Differential Equation
- 1.1.8 Complex numbers
- 1.1.9 Limits
- 1.1.10 Integral Equation
- 1.1.11 Example
- 1.1.12 Continuation and cases
- 1.1.13 Prefixed subscript
- 1.1.14 Fraction and small fraction
- 1.1 Examples
Writing mathematical formulas using latex syntax
You can now use latex syntax to write formulas!
Have a look at the examples below, and see http://meta.wikimedia.org/wiki/Help:Formula for a comprehensive help on the latex syntax you can use in the <math></math> tags.
Examples
Quadratic Polynomial
<math>ax^2 + bx + c = 0</math>
<math>ax^2 + bx + c = 0</math>
Quadratic Polynomial (Force PNG Rendering)
<math>ax^2 + bx + c = 0\,\!</math>
<math>ax^2 + bx + c = 0\,\!</math>
Quadratic Formula
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
Tall Parentheses and Fractions
<math> 2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)</math>
<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>
<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>
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy</math>
Summation
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n} {3^m\left(m\,3^n+n\,3^m\right)}</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>
<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>
<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>
<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>
<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>
<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 & \mbox{otherwise} \end{cases} </math>
<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
<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>
<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>
<math> \frac {a}{b}</math> <math> \tfrac {a}{b} </math>