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تاریخچه ی: دانشنامه:فرمول نویسی






































































Feature Syntax How it looks rendered
std. functions (good) \sin x + \ln y +\operatorname{sgn} z {TEX()} {\sin x + \ln y +\operatorname{sgn} z} {TEX}
std. functions (wrong) sin x + ln y + sgn z {TEX()} {sin x + ln y + sgn z\,} {TEX}
Modular arithm. {s_k \equiv 0 \pmod{m {TEX()} {s_k \equiv 0 \pmod{m}} {TEX}
Derivatives \nabla \partial x dx \dot x \ddot y {TEX()} {\nabla \ \partial x \ dx \ \dot x\ \ddot y} {TEX}
Sets \forall x \not\in \varnothing \subseteq A \cap B \cup \exists \{x,y\}
\times C
{TEX()} {\forall x \not\in \varnothing \subseteq A \cap B \cup \exists
\{x,y\} \times C} {TEX}
Logic p \land \bar{q} \to p\lor \lnot q {TEX()} {p \land \bar{q} \to p\lor \lnot q} {TEX}
Root \sqrt{2}\approx 1.4 {TEX()} {\sqrt{2}\approx 1.4} {TEX}
~np~ {sqrt[n]{x\ ~/np~ {TEX()} {\sqrt[n]{x}} {TEX}
Relations \sim \simeq \cong \le \ge \equiv \not\equiv \approx \ne {TEX()} {\sim \ \simeq \ \cong \ \le \ \ge \ \equiv \ \not\equiv \ \approx \ \ne} {TEX}
Geometric ~np~ \triangle \angle \perp \| 45^\circ ~/np~ {TEX()} {\triangle \ \angle \perp \| \ 45^\circ} {TEX}
Arrows
\leftarrow \rightarrow \leftrightarrow

\longleftarrow \longrightarrow

\mapsto \longmapsto

\nearrow \searrow \swarrow \nwarrow

\uparrow \downarrow \updownarrow


{TEX()} {\leftarrow\ \rightarrow\ \leftrightarrow} {TEX}
{TEX()} {\longleftarrow\ \longrightarrow} {TEX}
{TEX()} {\mapsto\ \longmapsto} {TEX}
{TEX()} {\nearrow\ \searrow\ \swarrow\ \nwarrow} {TEX}
{TEX()} {\uparrow\ \downarrow\ \updownarrow} {TEX}

\Leftarrow \Rightarrow \Leftrightarrow

\Longleftarrow \Longrightarrow \Longleftrightarrow

\Uparrow \Downarrow \Updownarrow

{TEX()} {\Leftarrow\ \Rightarrow\ \Leftrightarrow} {TEX}
{TEX()} {\Longleftarrow\ \Longrightarrow\ \Longleftrightarrow} {TEX}
{TEX()} {\Uparrow\ \Downarrow\ \Updownarrow} {TEX}
Special \oplus \otimes \pm \mp \hbar \dagger \ddagger \star * \ldots \circ \cdot \times
\bullet \infty \vdash \models
{TEX()} {\oplus \otimes \pm \mp \hbar \dagger \ddagger \star * \ldots} {TEX}
{TEX()} {\circ \cdot \times \bullet\ \infty \ \vdash \ \models} {TEX}






!Subscripts, superscripts














































































































Feature Syntax How it looks rendered
Superscript ~np~a^2 ~/np~ {TEX()} {a^2} {TEX} {TEX()} {a^2} {TEX}
Subscript a_2 {TEX()} {a_2} {TEX} {TEX()} {a_2 \,\!} {TEX}
Grouping ~np~ {a^{2+2 ~/np~ {TEX()} {a^{2+2}} {TEX} {TEX()} {a^{2+2} \,\!} {TEX}
{a_{i,j {TEX()} {a_{i,j}} {TEX} {TEX()} {a_{i,j} \,\!} {TEX}
Combining sub & super ~np~ x_2^3 ~/np~ {TEX()} {x_2^3} {TEX}
Preceding sub & super ~np~ {}_1^2\!X_3^4 ~/np~ {TEX()} {{}_1^2\!X_3^4} {TEX}
Derivative (good) 'x {TEX()} {x'} {TEX} {TEX()} {x' \,\!} {TEX}
Derivative (wrong in HTML) ~np~ x^\prime~/np~ {TEX()} {x^\prime} {TEX} {TEX()} {x^\prime \,\!} {TEX}
Derivative (wrong in PNG) ~np~ x\prime ~/np~ {TEX()} {x\prime} {TEX} {TEX()} {x\prime \,\!} {TEX}
Derivative dots {dot{x}, \ddot{x\ {TEX()} {\dot{x}, \ddot{x}} {TEX}
Underlines & overlines \{hat a \bar b \vec c \widehat {d e f} \overline {g h i} \underline {j k l {TEX()} {\hat a \ \bar b \ \vec c \ \widehat {d e f} \ \overline {g h i} \ \underline {j k l}} {TEX}
Sum ~np~ sum_{k=1}^N k^2\ ~/np~ {TEX()} {\sum_{k=1}^N k^2} {TEX}
Product ~np~ prod_{i=1}^N x_i\ ~/np~ {TEX()} {\prod_{i=1}^N x_i} {TEX}
Limit lim_{n \to \infty}x_n\ {TEX()} {\lim_{n \to \infty}x_n} {TEX}
Integral ~np~ int_{-N}^{N} e^x\, dx\ ~/np~ {TEX()} {\int_{-N}^{N} e^x\, dx} {TEX}
Path Integral ~np~ oint_{C} x^3\, dx + 4y^2\, dy\ ~/np~ {TEX()} {\oint_{C} x^3\, dx + 4y^2\, dy} {TEX}



!Fractions, matrices, multilines































































Feature Syntax How it looks rendered
Fractions {frac{2}{4} or {2 \over 4\ {TEX()} {\frac{2}{4}} {TEX}
Binomial coefficients {n \choose k} {TEX()} {{n \choose k}} {TEX}
Small Fractions {begin{matrix} \frac{2}{4} \end{matrix\ {TEX()} {\begin{matrix} \frac{2}{4} \end{matrix}} {TEX}
Matrices {begin{matrix} x & y \\ z & v \end{matrix\ {TEX()} {\begin{matrix} x & y \\ z & v
\end{matrix}} {TEX}
{begin{vmatrix} x & y \\ z & v \end{vmatrix\ {TEX()} {\begin{vmatrix} x & y \\ z & v
\end{vmatrix}} {TEX}
{begin{Vmatrix} x & y \\ z & v \end{Vmatrix\ {TEX()} {\begin{Vmatrix} x & y \\ z & v
\end{Vmatrix}} {TEX}
\begin{bmatrix} 0 & \cdots & 0 \\ \vdots &
\ddots & \vdots \\ 0 & \cdots &
0\end{bmatrix}
{TEX()} {\begin{bmatrix} 0 & \cdots & 0 \\ \vdots
& \ddots & \vdots \\ 0 & \cdots &
0\end{bmatrix} } {TEX}
{begin{Bmatrix} x & y \\ z & v \end{Bmatrix\ {TEX()} {\begin{Bmatrix} x & y \\ z & v
\end{Bmatrix}} {TEX}
{begin{pmatrix} x & y \\ z & v \end{pmatrix\ {TEX()} {\begin{pmatrix} x & y \\ z & v
\end{pmatrix}} {TEX}
Case distinctions f(n) = \left \{ \begin{matrix} n/2, & \mbox{if }n\mbox{ is
even} \\ 3n+1, & \mbox{if }n\mbox{ is odd}
\end{matrix} \right.
{TEX()} {f(n) = \left \{ \begin{matrix} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{matrix} \right. } {TEX}
Multiline equations ~np~ \begin{matrix}f(n+1) & = & (n+1)^2 \\ \ &
= & n^2 + 2n + 1 \end{matrix} ~/np~
{TEX()} {\begin{matrix}f(n+1) & = & (n+1)^2 \\ \ & = & n^2 + 2n + 1 \end{matrix}} {TEX}
Alternative multiline equations (using tables)


{|
|-
|{TEX()} {f(n+1)} {TEX}
|{TEX()} {(n+1)^2} {TEX}
|-
|
|{TEX()} {=n^2 + 2n + 1} {TEX}
|}



{|
|-
|{TEX()} {f(n+1) \,\!} {TEX}
|{TEX()} {(n+1)^2 \,\!} {TEX}
|-
|
|{TEX()} {=n^2 + 2n + 1 \,\!} {TEX}
|}



!Fonts





















Feature Syntax How it looks rendered
Greek letters \alpha \beta \gamma \Gamma \phi \Phi \Psi\ \tau \Omega {TEX()} {\alpha\ \beta\ \gamma\ \Gamma\ \phi\ \Phi\ \Psi\ \tau\ \Omega} {TEX}
Blackboard bold x\in\mathbb{R}\sub\mathbb{C} {TEX()} {x\in\mathbb{R}\subset\mathbb{C}} {TEX}
boldface