Friday, May 1, 2015

Script LaTex untuk Simbol-simbol Matematika

Untuk menuliskan berbagai simbol baik yang umum maupun simbol-simbol di LaTeX ternyata perlu script 'khusus' karena tidak ada yang bisa langsung klik-klik dan keluarlah simbol yang diinginkan. Daftar script berikut aku copy paste dari Art of Problem Solving maksudnya biar lebih mudah akunya nanti kalau cari-cari :D


Operators

SymbolCommandSymbolCommandSymbolCommand
$\pm$\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$\unlhd$\unlhdUnrhd.gif\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}
$x^{\circ}$x^{\circ}$\sqrt[n]{x}$\sqrt[n]{x}

Relations

SymbolCommandSymbolCommandSymbolCommand
$\le$\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
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.
SymbolCommandSymbolCommandSymbolCommand
$\nmid$\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
To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.

Greek Letters

Lowercase Letters
SymbolCommandSymbolCommandSymbolCommandSymbolCommand
$\alpha$\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

Capital Letters
SymbolCommandSymbolCommandSymbolCommandSymbolCommand
$\Gamma$\Gamma$\Delta$\Delta$\Theta$\Theta$\Lambda$\Lambda
$\Xi$\Xi$\Pi$\Pi$\Sigma$\Sigma$\Upsilon$\Upsilon
$\Phi$\Phi$\Psi$\Psi$\Omega$\Omega

Headline text

Arrows

SymbolCommandSymbolCommand
$\gets$\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
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)

Dots

Accents

SymbolCommandSymbolCommandSymbolCommandSymbolCommand
SymbolCommandSymbolCommandSymbolCommand
$\hat{x}$\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}
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:
SymbolCommandSymbolCommand
$\vec{\jmath}$\vec{\jmath}$\tilde{\imath}$\tilde{\imath}
\tilde and \hat have wide versions that allow you to accent an expression:
SymbolCommandSymbolCommand
$\widehat{3+x}$\widehat{3+x}$\widetilde{abc}$\widetilde{abc}

Others

SymbolCommandSymbolCommandSymbolCommand
$\infty$\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.gif\spadesuit$\Join$\Join$\blacksquare$\blacksquare
$\S$\S$\P$\P$\copyright$\copyright
$\pounds$\pounds$\overarc{ABC}$\overarc{ABC}(it works)$\underarc{XYZ}$\underarc{XYZ}(it works)
$\bigstar$\bigstar

Command Symbols

Some symbols are used in commands so they need to be treated in a special way.
SymbolCommandSymbolCommandSymbolCommandSymbolCommand
$\textdollar$\textdollar$\&$\&$\%$\%$\#$\#
$\_$\_$\{$\{$\}$\}$\backslash$\backslash
(Warning: Using $ for $\textdollar$ will result in $&#036;$. This is a bug as far as we know. Depending on the version of $\LaTeX$ this is not always a problem.)

European Language Symbols

SymbolCommandSymbolCommandSymbolCommandSymbolCommand
${\oe}${\oe}${\ae}${\ae}${\o}${\o}
${\OE}${\OE}${\AE}${\AE}${\AA}${\AA}${\O}${\O}
${\l}${\l}${\ss}${\ss}$\text{!`}$!`
${\L}${\L}${\SS}${\SS}

Bracketing Symbols

In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:
SymbolCommandSymbolCommandSymbolCommand
$\{$\{$\}$\}$\|$\|
$\backslash$\backslash$\lfloor$\lfloor$\rfloor$\rfloor
$\lceil$\lceil$\rceil$\rceil$\langle$\langle
$\rangle$\rangle
You might notice that if you use any of these to typeset an expression that is vertically large, like
(\frac{a}{x} )^2
the parentheses don't come out the right size:
$(\frac{a}{x})^2$
If we put \left and \right before the relevant parentheses, we get a prettier expression:
\left(\frac{a}{x} \right)^2
gives
$\left(\frac{a}{x} \right)^2$
\left and \right can also be used to resize the following symbols:
SymbolCommandSymbolCommandSymbolCommand
$\uparrow$\uparrow$\downarrow$\downarrow$\updownarrow$\updownarrow
$\Uparrow$\Uparrow$\Downarrow$\Downarrow$\Updownarrow$\Updownarrow

Multi-Size Symbols

Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use \[...\] or $$...$$, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the commands section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.
In each of the following, the two images show the symbol in display mode, then in inline mode.
SymbolCommandSymbolCommandSymbolCommand
$\sum  \textstyle\sum$\sum$\int  \textstyle\int$\int$\oint  \textstyle\oint$\oint
$\prod  \textstyle\prod$\prod$\coprod  \textstyle\coprod$\coprod$\bigcap  \textstyle\bigcap$\bigcap
$\bigcup  \textstyle\bigcup$\bigcup$\bigsqcup  \textstyle\bigsqcup$\bigsqcup$\bigvee  \textstyle\bigvee$\bigvee
$\bigwedge  \textstyle\bigwedge$\bigwedge$\bigodot  \textstyle\bigodot$\bigodot$\bigotimes  \textstyle\bigotimes$\bigotimes
$\bigoplus  \textstyle\bigoplus$\bigoplus$\biguplus  \textstyle\biguplus$\biguplus



Semoga bermanfaat ^_^



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