Física Computacional - FSC-5705

só um divisor

Símbolos do $\LaTeX$ mais usados

Operadores

Symbol Command Symbol Command Symbol Command
$\pm$ \pm $\mp$ \mp $\times$ \times
$\div$ \div $\cdot$ \cdot $\ast$ \ast
$\star$ \star $\dagger$ \dagger $\ddagger$ \ddagger
$\amalg$ \amalg $\cap$ \cap $\cup$ \cup
$\uplus$ \uplus $\sqcap$ \sqcap $\sqcup$ \sqcup
$\vee$ \vee $\wedge$ \wedge $\oplus$ \oplus
$\ominus$ \ominus $\otimes$ \otimes $\circ$ \circ
$\bullet$ \bullet $\diamond$ \diamond $\lhd$ \lhd
$\rhd$ \rhd $\unlhd$ \unlhd $\unrhd$ \unrhd
$\oslash$ \oslash $\odot$ \odot $\bigcirc$ \bigcirc
$\triangleleft$ \triangleleft $\Diamond$ \Diamond $\bigtriangleup$ \bigtriangleup
$\bigtriangledown$ \bigtriangledown $\Box$ \Box $\triangleright$ \triangleright
$\setminus$ \setminus $\wr$ \wr $\sqrt{x}$ \sqrt{x}

Relações

Symbol Command Symbol Command Symbol Command
$\le$ \le $\ge$ \ge $\neq$ \neq
$\sim$ \sim $\ll$ \ll $\gg$ \gg
$\doteq$ \doteq $\simeq$ \simeq $\subset$ \subset
$\supset$ \supset $\approx$ \approx $\asymp$ \asymp
$\subseteq$ \subseteq $\supseteq$ \supseteq $\cong$ \cong
$\smile$ \smile $\sqsubset$ \sqsubset $\sqsupset$ \sqsupset
$\equiv$ \equiv $\frown$ \frown $\sqsubseteq$ \sqsubseteq
$\sqsupseteq$ \sqsupseteq $\propto$ \propto $\bowtie$ \bowtie
$\in$ \in $\ni$ \ni $\prec$ \prec
$\succ$ \succ $\vdash$ \vdash $\dashv$ \dashv
$\preceq$ \preceq $\succeq$ \succeq $\models$ \models
$\perp$ \perp $\parallel$ \parallel $\|$ \|
$\mid$ \mid

A negação de muitos destes símbolos se obtém colocando \not na frente do símbolo o colocando entre a \ e o nome do simbolo um n. Vejamos alguns exemplos:

Symbol Command Symbol Command Symbol Command
$\nmid$ \nmid $\nleq$ \nleq $\ngeq$ \ngeq
$\nsim$ \nsim $\ncong$ \ncong $\nparallel$ \nparallel
$\not<$ \not< $\not>$ \not> $\not=$ \not=
$\not\le$ \not\le $\not\ge$ \not\ge $\not\sim$ \not\sim
$\not\approx$ \not\approx $\not\cong$ \not\cong $\not\equiv$ \not\equiv
$\not\parallel$ \not\parallel $\nless$ \nless $\ngtr$ \ngtr
$\lneq$ \lneq $\gneq$ \gneq $\lnsim$ \lnsim
$\lneqq$ \lneqq $\gneqq$ \gneqq

Alfabeto grego

Minusculas

Symbol Command Symbol Command Symbol Command Symbol Command
$\alpha$ \alpha $\beta$ \beta $\gamma$ \gamma $\delta$ \delta
$\epsilon$ \epsilon $\varepsilon$ \varepsilon $\zeta$ \zeta $\eta$ \eta
$\theta$ \theta $\vartheta$ \vartheta $\iota$ \iota $\kappa$ \kappa
$\lambda$ \lambda $\mu$ \mu $\nu$ \nu $\xi$ \xi
$\pi$ \pi $\varpi$ \varpi $\rho$ \rho $\varrho$ \varrho
$\sigma$ \sigma $\varsigma$ \varsigma $\tau$ \tau $\upsilon$ \upsilon
$\phi$ \phi $\varphi$ \varphi $\chi$ \chi $\psi$ \psi
$\omega$ \omega

Maiúsculas

Symbol Command Symbol Command Symbol Command Symbol Command
$\Gamma$ \Gamma $\Delta$ \Delta $\Theta$ \Theta $\Lambda$ \Lambda
$\Xi$ \Xi $\Pi$ \Pi $\Sigma$ \Sigma $\Upsilon$ \Upsilon
$\Phi$ \Phi $\Psi$ \Psi $\Omega$ \Omega

Zetas

Symbol Command Symbol Command
$\gets$ \gets $\to$ \to
$\leftarrow$ \leftarrow $\Leftarrow$ \Leftarrow
$\rightarrow$ \rightarrow $\Rightarrow$ \Rightarrow
$\leftrightarrow$ \leftrightarrow $\Leftrightarrow$ \Leftrightarrow
$\mapsto$ \mapsto $\hookleftarrow$ \hookleftarrow
$\leftharpoonup$ \leftharpoonup $\leftharpoondown$ \leftharpoondown
$\rightleftharpoons$ \rightleftharpoons $\longleftarrow$ \longleftarrow
$\Longleftarrow$ \Longleftarrow $\longrightarrow$ \longrightarrow
$\Longrightarrow$ \Longrightarrow $\longleftrightarrow$ \longleftrightarrow
$\Longleftrightarrow$ \Longleftrightarrow $\longmapsto$ \longmapsto
$\hookrightarrow$ \hookrightarrow $\rightharpoonup$ \rightharpoonup
$\rightharpoondown$ \rightharpoondown $\leadsto$ \leadsto
$\uparrow$ \uparrow $\Uparrow$ \Uparrow
$\downarrow$ \downarrow $\Downarrow$ \Downarrow
$\updownarrow$ \updownarrow $\Updownarrow$ \Updownarrow
$\nearrow$ \nearrow $\searrow$ \searrow
$\swarrow$ \swarrow $\nwarrow$ \nwarrow

Pontuação

Symbol Command Symbol Command Symbol Command Symbol Command
$\ldots 2$ \ldots 2 $\vdots$ \vdots $\cdots 2$ \cdots 2 $\ddots$ \ddots

Acentos

Symbol Command Symbol Command Symbol Command
$\hat{x}$ \hat{x} $\check{x}$ \check{x} $\dot{x}$ \dot{x}
$\breve{x}$ \breve{x} $\acute{x}$ \acute{x} $\ddot{x}$ \ddot{x}
$\grave{x}$ \grave{x} $\tilde{x}$ \tilde{x} $\mathring{x}$ \mathring{x}
$\bar{x}$ \bar{x} $\vec{x}$ \vec{x}

Quando se utiliza i e j, utilize \imath e \jmat para deixar os pontos sobre essas letras:

Symbol Command Symbol Command
$\vec{\jmath}$ \vec{\jmath} $\tilde{\imath}$ \tilde{\imath}

\hat e \tilde podem ser aplicados a toda uma expressão utilizando wide entre \ e o nome do acento:

Symbol Command Symbol Command
$\widehat{3+x}$ \widehat{3+x} $\widetilde{abc}$ \widetilde{abc}

Outros

Symbol Command Symbol Command Symbol Command
$\infty$ \infty $\triangle$ \triangle $\angle$ \angle
$\aleph$ \aleph $\hbar$ \hbar $\imath$ \imath
$\jmath$ \jmath $\ell$ \ell $\wp$ \wp
$\Re$ \Re $\Im$ \Im $\mho$ \mho
$\prime$ \prime $\emptyset$ \emptyset $\nabla$ \nabla
$\surd$ \surd $\partial$ \partial $\top$ \top
$\bot$ \bot $\vdash$ \vdash $\dashv$ \dashv
$\forall$ \forall $\exists$ \exists $\neg$ \neg
$\flat$ \flat $\natural$ \natural $\sharp$ \sharp
$\backslash$ \backslash $\Box$ \Box $\Diamond$ \Diamond
$\clubsuit$ \clubsuit $\diamondsuit$ \diamondsuit $\heartsuit$ \heartsuit
$\spadesuit$ \spadesuit $\Join$ \Join $\blacksquare$ \blacksquare
$\S$ \S $\P$ \P $\copyright$ \copyright
$\pounds$ \pounds

Símbolos de comandos

Symbol Command Symbol Command Symbol Command Symbol Command
$\textdollar$ \textdollar $\&$ \& $\%$ \% $\#$ \#
$\_$ \_ $\{$ \{ $\}$ \} $\backslash$ \backslash

Símbolos de línguas europeias

Symbol Command Symbol Command Symbol Command Symbol Command
${\oe}$ {\oe} ${\ae}$ {\ae} ${\aa}$ {\aa} ${\o}$ {\o}
${\OE}$ {\OE} ${\AE}$ {\AE} ${\AA}$ {\AA} ${\O}$ {\O}
${\l}$ {\l} ${\ss}$ {\ss} $\text{!`}$ !`
${\L}$ {\L} ${\SS}$ {\SS} $\text{?`}$ ?`

Símbolos de parenteses

Symbol Command Symbol Command Symbol Command
$\{$ \{ $\}$ \} $\|$ \|
$\backslash$ \backslash $\lfloor$ \lfloor $\rfloor$ \rfloor
$\lceil$ \lceil $\rceil$ \rceil $\langle$ \langle
$\rangle$ \rangle

Nota que se tu usas este tipo de parenteses em expressões que são grande verticalmente, similar a:

( \frac{a}{b} )^2

o parenteses não se ajusta ao tamanho: \[ ( \frac{a}{b} )^2 \nonumber \] assim, para evitar isto devemos colocar \left e right, antes dos parenteses correspondentes:

\left( \frac{a}{b} \right)^2

que resulta em: \[ \left( \frac{a}{b} \right)^2 \nonumber \] \left e \right também pode ser utilizados com os seguintes símbolos:

Symbol Command Symbol Command Symbol Command
$\uparrow$ \uparrow $\downarrow$ \downarrow $\updownarrow$ \updownarrow
$\Uparrow$ \Uparrow $\Downarrow$ \Downarrow $\Updownarrow$ \Updownarrow