Helpo:TeX-konsileyo

Kun helpo di TeX-kodo on povas krear komplexa frazi matematikala. TeX-kodo insertesas inter signi <math> e </math>.

Matematikala simboli

Binara operacanti e komparado

Binara operanti quale modelo \mathcal q (\amalg) $𝓆$ \setminus $\setminus$ \pm $\pm$ \mp $\mp$ \mathcal{t} \mathcal{u} (\sqcap ed \sqcup) $𝓉𝓊$ \star $\star$ \bullet $\bullet$ \cap $\cap$ \cdot $\cdot$ \circ $\circ$ \cup $\cup$ \dagger $†$ \mathcal{z} (\ddagger) $𝓏$ \times $\times$ \triangle $\mathrm{△}$ \oplus \otimes $\oplus \otimes$ \triangleright \triangleleft $▹◃$ \vee $\vee$ \wedge $\wedge$ \wr $\wr$

Binara komparado quale modelo \approx $\approx$ \mid $\mid$ \cong $\cong$ \models $\models$ \equiv $\equiv$ \frown $⌢$ \| $\Vert$ \in \ni $\in \ni$ \perp $\perp$ \le od \leq $\le \mathrm{o}\mathrm{d}\le$ \ge od \geq $\ge \mathrm{o}\mathrm{d}\ge$ \sim $\sim$ \simeq $\simeq$ \smile $⌣$ \matcal{vw} (\sqsubseteq ed \sqsupseteq) $𝓋𝓌$ \subset $\subset$ \subseteq $\subseteq$ \supset $\supset$ \subseteq $\subseteq$ \vdash $⊢$

Negaciono quale modelo \not< $<$ \not> $>$ \not= \neq \ne $=\ne \ne$ \not\approx $\approx ̸$ \not\cong $\cong ̸$ \not\equiv $\equiv ̸$ \not\ge $\ge ̸$ \not\in \notin $\in ̸\notin$ \not\le $\le ̸$ \not\simeq $\simeq ̸$ \not\subset $\subset ̸$ \not\subseteq $\subseteq ̸$ \not\supset $\supset ̸$ \not\supseteq $\supseteq ̸$ \neg $\mathrm{\neg }$

Signi supre e sube

qua	quale	modelo
supre	a^2	$a^2$
sube	a_2	$a_2$
grupi supre o sube	a^{2+2}	$a^{2+2}$
	a_{i,j}	$a_{i,j}$
supre e sube samatempe	x_2^3 od x^3_2	$x_2^3$
Derivato (juste)	x'	$x^{\prime }$
Derivato (aceptable)	x^\prime	$x^{\prime }$
Derivato (nejuste)	x\prime	$x\prime$
sumo	\sum_{k=1}^N k^2	$\sum _{k=1}^N{k}^2$
produkto	\prod_{i=1}^N x_i	$\prod _{i=1}^N{x}_i$
limito	\lim_{n \to \infty}x_n	$\underset{n\to \mathrm{\infty }}{\lim }{x}_n$
exponentala funciono	e^{- \alpha \cdot x^2}	$e^{-\alpha \cdot x^2}$
integralo	\int_{-N}^{N} e^x\, dx	$\underset{-N}{\overset{N}{\int }}{e}^x\mathrm{d}\mathrm{x}$
multafoya integralo	\iint_a^b \iiint_a^b	$\underset{a}{\overset{b}{\iint }}\underset{a}{\overset{b}{\iiint }}$
ringa integralo	\oint_c	${\oint }_c$
(G: A adjungiert)	A^\dagger	$A^{†}$

Fracioni, matrici, multa-lineala komparadi

fraciono	\frac{2}{4} od {2 \over 4}	$\frac{2}{4}$
binomiala koeficienti	{n \choose k}	$(\genfrac{}{}{0ex}{}{n}{k})$
matrici	\begin{pmatrix} x & y \\ z & v \end{pmatrix}	$\left(\begin{array}{cc}x& y\\ z& v\end{array}\right)$
	\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0\end{bmatrix}	$\left[\begin{array}{ccc}0& \cdots & 0\\ ⋮& \ddots & ⋮\\ 0& \cdots & 0\end{array}\right]$
	\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}	$\left\{\begin{array}{cc}x& y\\ z& v\end{array}\right\}$
	\begin{vmatrix} x & y \\ z & v \end{vmatrix}	$\left|\begin{array}{cc}x& y\\ z& v\end{array}\right|$
	\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}	$\Vert \begin{array}{cc}x& y\\ z& v\end{array}\Vert$
	\begin{matrix} x & y \\ z & v \end{matrix}	$\begin{array}{cc}x& y\\ z& v\end{array}$
(G: Fallunterscheidungen)	f(n)=\begin{cases} n/2, & \mbox{wenn }n\mbox{ gerade} \\ 3n+1, & \mbox{wenn }n\mbox{ ungerade} \end{cases}	$f(n)=\{\begin{array}{cc}n/2,& \text{wenn }n\text{ gerade}\\ 3n+1,& \text{wenn }n\text{ ungerade}\end{array}$
multa-lineala komparadi	\begin{matrix}f(n+1)&=& (n+1)^2 \\ \ &=& n^2 + 2n + 1\end{matrix}	$\begin{array}{ccc}f(n+1)& =& (n+1{)}^2\\ & =& n^2+2n+1\end{array}$

Diversa parentezi e bordo-simboli

parentezi	\left( A \right)	$\left(A\right)$
kramponi	\left[ A \right] \lbrack \rbrack	$\left[A\right]$ $[]$
embracii	\left\{ A \right\} \lbrace \rbrace	$\left\{A\right\}$ $\{\}$
mi-kramponi (1)	\left\lfloor A \right\rfloor	$\lfloor A\rfloor$
mi-kramponi (2)	\left\lceil A \right\rceil	$\lceil A\rceil$
angula parentezi	\left\langle \right\rangle	$⟨A⟩$
(G: Betragsstriche)	\left| A \right| \vert	$\left|A\right|$ $|$
matrico	\left\| A \right\| \Vert	$\Vert A\Vert$ $\Vert$
uzo di \left. ed \right., kande on ne deziras uzar bordi:	\left. {A \over B} \right\} \to X	$\frac{A}{B}\}\to X$

Granda frazo en parentezi

nebele	( \frac{1}{2} )	$(\frac{1}{2})$
bele	\left( \frac{1}{2} \right)	$\left(\frac{1}{2}\right)$

Flechi

\downarrow $\downarrow$ \Downarrow $\Downarrow$ \hookleftarrow $\hookleftarrow$ \hookrightarrow $\hookrightarrow$ \leftarrow $\leftarrow$ \Leftarrow $\Leftarrow$ \leftrightarrow $\leftrightarrow$ \Leftrightarrow $\iff$ longleftarrow $⟵$

Longleftarrow $⟸$ \Longleftrightarrow $⟺$ \longmapsto $⟼$ \longrightarrow $⟶$ \Longrightarrow $⟹$ \mapsto $\mapsto$ \nearrow $\nearrow$ \nwarrow $\nwarrow$

\rightarrow $\to$ \Rightarrow $\Rightarrow$ \searrow $\searrow$ \swarrow $\swarrow$ \uparrow $\uparrow$ \Uparrow $\Uparrow$ \updownarrow $\updownarrow$ \Updownarrow $\Updownarrow$

Altra streki, flechi e parentezi

qua	quale	modelo
supra streko	\overline { ... }	$\overline{ABC}$
suba streko	\underline { ... }	$\underset{\_}{ABC}$
supra flechi	\overrightarrow { ... }	$\overrightarrow{ABC}$
suba flechi	\overleftarrow { ... }	$\overleftarrow{ABC}$
tekto	\widehat { ... }	$\widehat{ABC}$
supra embracio	\overbrace { ... }	$\overbrace{ABC}$
suba embracio	\underbrace { ... }	$\underbrace{ABC}$

Nomi di funcioni

\arccos $\arccos$ \arcsin $\arcsin$ arctan $\arctan$ \arg $\arg$ \cos $\cos$ \cosh $\cosh$ \cot $\cot$ \coth $\coth$ \csc $\csc$ \deg $\mathrm{deg}$ \det $\det$

\dim $\dim$ \exp $\exp$ \gcd $\gcd$ \hom $\mathrm{hom}$ \inf $\inf$ \ker $\ker$ \lg $\lg$ \lim $\lim$ \liminf $\mathrm{lim\; inf}$ \limsup $\mathrm{lim\; sup}$ \ln $\ln$

\log $\log$ \max $\max$ \min $\min$ \Pr $\mathrm{Pr}$ \sec $\sec$ \sin $\sin$ \sinh $\sinh$ \sup $\sup$ \tan $\tan$ \tanh $\tanh$ \bmod $amodb$

Konsilo

juste	\sin x + \ln y +\operatorname{sgn} z	$\sin x+\ln y+\mathrm{sgn}z$
nejuste	sin x + ln y + sgn z	$sinx+lny+sgnz$

Texto e literi en matematikala medio

qua	quale	modelo
bazala	abcdefg	$abcdefg$
dika	\mathbf{abcdefg}	$𝐚𝐛𝐜𝐝𝐞𝐟𝐠$
italika	\mathit{abcdefg}	$𝑎𝑏𝑐𝑑𝑒𝑓𝑔$
serif (roman)	\mathrm{abcdefg}	$\mathrm{a}\mathrm{b}\mathrm{c}\mathrm{d}\mathrm{e}\mathrm{f}\mathrm{g}$
sans serif	\mathsf{abcdefg}	$𝖺𝖻𝖼𝖽𝖾𝖿𝗀$
frakturo-stilo	\mathfrak{abcdefg}	$𝔞𝔟𝔠𝔡𝔢𝔣𝔤$
	\mathfrak{ABCDEFG}	$𝔄𝔅ℭ𝔇𝔈𝔉𝔊$
kaligrafikala simboli	\mathcal{abcdefghijklm} \mathcal{nopqrstuvwxyz}	$𝒶𝒷𝒸𝒹ℯ𝒻ℊ𝒽𝒾𝒿𝓀𝓁𝓂𝓏$ $𝓃ℴ𝓅𝓆𝓇𝓈𝓉𝓊𝓋𝓌𝓍𝓎𝓏$
	\mathcal{ABCDEFGHIJKLM} \mathcal{NOPQRSTUVWXYZ}	$𝒜ℬ𝒞𝒟ℰℱ𝒢\mathscr{H}ℐ𝒥𝒦ℒℳ$ $𝒩𝒪𝒫𝒬ℛ𝒮𝒯𝒰𝒱𝒲𝒳𝒴𝒵$
(G: Zahlenbereiche	\mathbb{N}\mathbb{Z}\mathbb{Q}\mathbb{R} \mathbb{C}\mathbb{O}\mathbb{S}	$\mathbb{N}\mathbb{Z}\mathbb{Q}ℝℂ𝕆𝕊$
Greka literi	\alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \theta \vartheta \iota \kappa \lambda \mu \nu \xi o \pi \varpi \rho \varrho \sigma \varsigma \tau \upsilon \phi \varphi \chi \psi \omega	$\alpha \beta \gamma \delta ϵ\epsilon \zeta \eta \theta \vartheta \iota \kappa \lambda \mu \nu$ $\xi o\pi \varpi \rho \varrho \sigma \varsigma \tau \upsilon \varphi \phi \chi \psi \omega$
	\Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Upsilon \Phi \Psi \Omega	$\mathrm{\Gamma }\mathrm{\Delta }\mathrm{\Theta }\mathrm{\Lambda }\mathrm{\Xi }\mathrm{\Pi }\mathrm{\Sigma }\mathrm{{\rm Y}}\mathrm{\Phi }\mathrm{\Psi }\mathrm{\Omega }$
	\Im\Re	$\mathrm{\Im }\mathrm{\Re }$
Hebreana literi	\daleth\gimel\beth\aleph (nur ica quar)	$\daleth \gimel \beth \mathrm{\aleph }$

Lakuno inter signi

Manuale on povas plugrandigar spaco inter signi.

8-foya	a \qquad b	$ab$
4-foya	a \quad b	$ab$
multa	a\ b	$ab$
mimulta	a\;b	$ab$
nemulta	a\,b	$ab$
normala	ab	$ab$
negativa	a\!b	$ab$

Mathematikal acenti

qua	quale	modelo
vektorala flecho	\vec a	$\overrightarrow{a}$
(G: Zeitableitung)	\dot a	$\dot{a}$
tremo	\ddot a	$\ddot{a}$
(G: Vektor-Zeitableitung)	\dot\vec a	$\dot{\overrightarrow{a}}$
a (G: quer)	\bar a	$\overline{a}$
a tilde	\tilde a	$\tilde{a}$
a tekto	\hat a	$\hat{a}$
grava acento	\grave a	$\stackrel{`}{a}$
akuta acento	\acute a	$\acute{a}$
(G: Hatschek)	\check a	$\check{a}$
korta	\breve a	$\breve{a}$

Specala signi en TeX

qua	quale	modelo
Derivati	\nabla \partial dx	$\mathrm{\nabla }\partial dx$
radiki	\sqrt{2}\approx\pm 1{,}4	$\sqrt{2}\approx \pm 1,4$
	\sqrt[n]{x}	$\sqrt[n]{x}$
angulala gradi	360^\circ	$360^{\circ }$
gradi di Celsius	100\,^{\circ}\mathrm{C}	$100{}^{\circ }\mathrm{C}$
altra signi (ne omna)	\angle \backslash \bot \Box\ \clubsuit \Diamond \diamondsuit \ell \empty \emptyset \exists \flat \forall \hbar \heartsuit \imath \infty \jmath \mho \natural \neg \prime \sharp \spadesuit \surd \top \triangle \wp \|	$\mathrm{\angle }\mathrm{\setminus }\mathrm{\perp }◻\mathrm{♣}◊\mathrm{♢}\ell \mathrm{\varnothing }\mathrm{\varnothing }$ $\mathrm{\exists }\mathrm{♭}\mathrm{\forall }\hslash \mathrm{♡}ı\mathrm{\infty }\mho \mathrm{♮}\mathrm{\neg }\prime \mathrm{♯}$ $\mathrm{♠}\mathrm{\top }\mathrm{△}\mathrm{\wp }\Vert$

Konsilo

nombri kun komo (juste)	3{,}14	$3,14$
nombri kun komo (nejuste)	3,14	$3,14$