tex-Konsileyo

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TeX-kodo insertesas inter signi $e$ .

Matematikala simboli

Binara operacanti e komparado

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

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

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

Signi supre e sube

qua	quale	modelo
supre	a^2	$a^{2}$
sube	a_2	$a_{2}$
grupi supre o sube	a^{2+2}	$a^{2+2}$
grupi supre o sube	a_{i,j}	$a_{i,j}$
supre e sube samatempe	x_2^3 od x^3_2	$x_{2}^{3}$
Derivato (juste)	x'	$x'$
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	$\lim _{n\to \infty }x_{n}$
exponentala funciono	e^{- \alpha \cdot x^2}	$e^{-\alpha \cdot x^{2}}$
integralo	\int_{-N}^{N} e^x\, dx	$\int _{-N}^{N}e^{x}\,\mathrm {dx}$
multafoya integralo	\iint_a^b \iiint_a^b	$\iint _{a}^{b}\iiint _{a}^{b}$
ringa integralo	\oint_c	$\oint _{c}$
(G: A adjungiert)	A^\dagger	$A^{\dagger }$

Fracioni, matrici, multa-lineala komparadi

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

Diversa parentezi e bordo-simboli

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

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	$\Leftrightarrow$
longleftarrow	$\longleftarrow$

Longleftarrow	$\Longleftarrow$
\Longleftrightarrow	$\Longleftrightarrow$
\longmapsto	$\longmapsto$
\longrightarrow	$\longrightarrow$
\Longrightarrow	$\Longrightarrow$
\mapsto	$\mapsto$
\nearrow	$\nearrow$
\nwarrow	$\nwarrow$

\rightarrow	$\rightarrow$
\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 { ... }	${\underline {ABC}}$
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	$\deg$
\det	$\det$

\dim	$\dim$
\exp	$\exp$
\gcd	$\gcd$
\hom	$\hom$
\inf	$\inf$
\ker	$\ker$
\lg	$\lg$
\lim	$\lim$
\liminf	$\liminf$
\limsup	$\limsup$
\ln	$\ln$

\log	$\log$
\max	$\max$
\min	$\min$
\Pr	$\Pr$
\sec	$\sec$
\sin	$\sin$
\sinh	$\sinh$
\sup	$\sup$
\tan	$\tan$
\tanh	$\tanh$
\bmod	$a{\bmod {b}}$

**Konsilo**
juste	\sin x + \ln y +\operatorname{sgn} z	$\sin x+\ln y+\operatorname {sgn} z$
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}	$\mathbf {abcdefg}$
italika	\mathit{abcdefg}	${\mathit {abcdefg}}$
serif (roman)	\mathrm{abcdefg}	$\mathrm {abcdefg}$
sans serif	\mathsf{abcdefg}	${\mathsf {abcdefg}}$
frakturo-stilo	\mathfrak{abcdefg}	${\mathfrak {abcdefg}}$
frakturo-stilo	\mathfrak{ABCDEFG}	${\mathfrak {ABCDEFG}}$
kaligrafikala simboli	\mathcal{abcdefghijklm} \mathcal{nopqrstuvwxyz}	${\mathcal {abcdefghijklmz}}$ ${\mathcal {nopqrstuvwxyz}}$
kaligrafikala simboli	\mathcal{ABCDEFGHIJKLM} \mathcal{NOPQRSTUVWXYZ}	${\mathcal {ABCDEFGHIJKLM}}$ ${\mathcal {NOPQRSTUVWXYZ}}$
(G: Zahlenbereiche	\mathbb{N}\mathbb{Z}\mathbb{Q}\mathbb{R} \mathbb{C}\mathbb{O}\mathbb{S}	$\mathbb {N} \mathbb {Z} \mathbb {Q} \mathbb {R} \mathbb {C} \mathbb {O} \mathbb {S}$
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	$\alpha \ \beta \ \gamma \ \delta \ \epsilon \ \varepsilon \ \zeta \ \eta \ \theta \ \vartheta \ \iota \ \kappa \ \lambda \ \mu \ \nu$ $\xi \ o\ \pi \ \varpi \ \rho \ \varrho \ \sigma \ \varsigma \ \tau \ \upsilon \ \phi \ \varphi \ \chi \ \psi \ \omega$
Greka literi	\Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Upsilon \Phi \Psi \Omega	$\Gamma \ \Delta \ \Theta \ \Lambda \ \Xi \ \Pi \ \Sigma \ \Upsilon \ \Phi \ \Psi \ \Omega$
	\Im\Re	$\Im \Re$
Hebreana literi	\daleth\gimel\beth\aleph (nur ica quar)	$\daleth \gimel \beth \aleph$

Lakuno inter signi

Manuale on povas plugrandigar spaco inter signi.

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

Mathematikal acenti

qua	quale	modelo
vektorala flecho	\vec a	${\vec {a}}$
(G: Zeitableitung)	\dot a	${\dot {a}}$
tremo	\ddot a	${\ddot {a}}$
(G: Vektor-Zeitableitung)	\dot\vec a	${\dot {\vec {a}}}$
a (G: quer)	\bar a	${\bar {a}}$
a tilde	\tilde a	${\tilde {a}}$
a tekto	\hat a	${\hat {a}}$
grava acento	\grave a	${\grave {a}}$
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	$\nabla \partial dx$
radiki	\sqrt{2}\approx\pm 1{,}4	${\sqrt {2}}\approx \pm 1{,}4$
radiki	\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 \\|	$\angle \backslash \bot \Box \ \clubsuit \Diamond \diamondsuit \ell \emptyset \emptyset$ $\exists \flat \forall \hbar \heartsuit \imath \infty \mho \natural \neg \prime \sharp$ $\spadesuit \top \triangle \wp \\|$

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

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