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Gramatikala revizo bezonata

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

Indexo

[redaktar] Matematikala simboli

[redaktar] 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 \le\mathrm{od}\leq
\ge od \geq \ge\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\ \ne
\not\approx \not\approx
\not\cong \not\cong
\not\equiv \not\equiv
\not\ge \not\ge
\not\in \notin \not\in \notin
\not\le \not\le
\not\simeq \not\simeq
\not\subset \not\subset
\not\subseteq \not\subseteq
\not\supset \not\supset
\not\supseteq \not\supseteq
\neg \neg

[redaktar] Signi supre e sube

qua quale modelo
supre a^2 a2
sube a_2 a2
grupi supre o sube a^{2+2} a2 + 2
a_{i,j} ai,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


[redaktar] 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}


[redaktar] 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 \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

[redaktar] Granda frazo en parentezi

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


[redaktar] 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


[redaktar] 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 }


[redaktar] 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 amod b
Konsilo
juste \sin x + \ln y +\operatorname{sgn} z \sin x + \ln y +\operatorname{sgn} z
nejuste sin x + ln y + sgn z sin x + ln y + sgn z\,

[redaktar] Texto e literi en matematikala medio

qua quale modelo
bazala abcdefg abcdefg
dika \mathbf{abcdefg} \mathbf{abcdefg}
italika \mathit{abcdefg} abcdefg
serif (roman) \mathrm{abcdefg} abcdefg
sans serif \mathsf{abcdefg} \mathsf{abcdefg}
frakturo-stilo \mathfrak{abcdefg} \mathfrak{abcdefg}
\mathfrak{ABCDEFG} \mathfrak{ABCDEFG}
kaligrafikala simboli \mathcal{abcdefghijklm}

\mathcal{nopqrstuvwxyz}

\mathcal{abcdefghijklmz}

\mathcal{nopqrstuvwxyz}

\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

\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

[redaktar] 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

[redaktar] 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


[redaktar] 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
\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 \empty \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\,