KöMaL Elektronikus Munkafüzet: TeX minitanfolyam

Görög betűk és más szimbólumok

A matematikai képletekhez sokféle szimbólumra, betűre, reláció- és sok más jelre van szükségünk. A jeleket természetesen TeX parancsokkal állíthatjuk elő. Azokat a jeleket, amiket többé-kevésbé a betűkhöz hasonló módon használhatunk, az alábbi táblázatban foglaltuk össze.

$\alpha$
\alpha $\beta$
\beta $\gamma$
\gamma $\Gamma$
\Gamma $\varGamma$
\varGamma $\delta$
\delta $\Delta$
\Delta $\varDelta$
\varDelta $\epsilon$
\epsilon $\varepsilon$
\varepsilon $\backepsilon$
\backepsilon $\zeta$
\zeta $\eta$
\eta $\theta$
\theta $\vartheta$
\vartheta $\Theta$
\Theta $\varTheta$
\varTheta $\iota$
\iota $\kappa$
\kappa $\varkappa$
\varkappa $\lambda$
\lambda $\Lambda$
\Lambda $\varLambda$
\varLambda $\mu$
\mu $\nu$
\nu $\xi$
\xi $\Xi$
\Xi $\varXi$
\varXi $\omicron$
\omicron $\pi$
\pi $\varpi$
\varpi $\Pi$
\Pi $\varPi$
\varPi $\rho$
\rho $\varrho$
\varrho $\sigma$
\sigma $\varsigma$
\varsigma $\Sigma$
\Sigma $\varSigma$
\varSigma $\tau$
\tau $\upsilon$
\upsilon $\Upsilon$
\Upsilon $\varUpsilon$
\varUpsilon $\phi$
\phi $\varphi$
\varphi $\Phi$
\Phi $\varPhi$
\varPhi $\chi$
\chi $\psi$
\psi $\Psi$
\Psi $\varPsi$
\varPsi $\omega$
\omega $\Omega$
\Omega $\varOmega$
\varOmega $\aleph$
\aleph $\beth$
\beth $\gimel$
\gimel $\daleth$
\daleth $\ell$
\ell $\le$
\le $\leq$
\leq $\leqq$
\leqq $\leqslant$
\leqslant $\nleq$
\nleq $\nleqq$
\nleqq $\nleqslant$
\nleqslant $\ll$
\ll $\lll$
\lll $\ge$
\ge $\geq$
\geq $\geqq$
\geqq $\geqslant$
\geqslant $\ngeq$
\ngeq $\ngeqq$
\ngeqq $\ngeqslant$
\ngeqslant $\gg$
\gg $\ggg$
\ggg $\ne$
\ne $\neq$
\neq $\equiv$
\equiv $\approx$
\approx $\approxeq$
\approxeq $\sim$
\sim $\simeq$
\simeq $\backsim$
\backsim $\backsimeq$
\backsimeq $\in$
\in $\ni$
\ni $\owns$
\owns $\notin$
\notin $\subset$
\subset $\subseteq$
\subseteq $\subseteqq$
\subseteqq $\subsetneq$
\subsetneq $\subsetneqq$
\subsetneqq $\sqsubset$
\sqsubset $\sqsubseteq$
\sqsubseteq $\nsubseteq$
\nsubseteq $\nsubseteqq$
\nsubseteqq $\Subset$
\Subset $\supset$
\supset $\supseteq$
\supseteq $\supseteqq$
\supseteqq $\supsetneq$
\supsetneq $\supsetneqq$
\supsetneqq $\Supset$
\Supset $\sqsupset$
\sqsupset $\sqsupseteq$
\sqsupseteq $\nsupseteq$
\nsupseteq $\nsupseteqq$
\nsupseteqq $\prec$
\prec $\precapprox$
\precapprox $\preccurlyeq$
\preccurlyeq $\preceq$
\preceq $\precnapprox$
\precnapprox $\precneqq$
\precneqq $\precnsim$
\precnsim $\precsim$
\precsim $\nprec$
\nprec $\npreceq$
\npreceq $\succ$
\succ $\succapprox$
\succapprox $\succcurlyeq$
\succcurlyeq $\succeq$
\succeq $\succnapprox$
\succnapprox $\succneqq$
\succneqq $\succnsim$
\succnsim $\succsim$
\succsim $\nsucc$
\nsucc $\nsucceq$
\nsucceq $\leftarrow$
\leftarrow $\Leftarrow$
\Leftarrow $\Lleftarrow$
\Lleftarrow $\longleftarrow$
\longleftarrow $\Longleftarrow$
\Longleftarrow $\rightarrow$
\rightarrow $\Rightarrow$
\Rightarrow $\Rrightarrow$
\Rrightarrow $\longrightarrow$
\longrightarrow $\Longrightarrow$
\Longrightarrow $\to$
\to $\leftleftarrows$
\leftleftarrows $\Leftrightarrow$
\Leftrightarrow $\leftrightarrow$
\leftrightarrow $\leftrightarrows$
\leftrightarrows $\Longleftrightarrow$
\Longleftrightarrow $\longleftrightarrow$
\longleftrightarrow $\rightleftarrows$
\rightleftarrows $\rightrightarrows$
\rightrightarrows $\Downarrow$
\Downarrow $\downarrow$
\downarrow $\Uparrow$
\Uparrow $\uparrow$
\uparrow $\Updownarrow$
\Updownarrow $\updownarrow$
\updownarrow $\dashleftarrow$
\dashleftarrow $\dashrightarrow$
\dashrightarrow $\nRightarrow$
\nRightarrow $\nrightarrow$
\nrightarrow $\nearrow$
\nearrow $\nwarrow$
\nwarrow $\searrow$
\searrow $\swarrow$
\swarrow $\circlearrowleft$
\circlearrowleft $\circlearrowright$
\circlearrowright $\curvearrowleft$
\curvearrowleft $\curvearrowright$
\curvearrowright $\downdownarrows$
\downdownarrows $\hookleftarrow$
\hookleftarrow $\hookrightarrow$
\hookrightarrow $\leftarrowtail$
\leftarrowtail $\leftrightsquigarrow$
\leftrightsquigarrow $\looparrowleft$
\looparrowleft $\looparrowright$
\looparrowright $\nLeftarrow$
\nLeftarrow $\nleftarrow$
\nleftarrow $\nLeftrightarrow$
\nLeftrightarrow $\nleftrightarrow$
\nleftrightarrow $\rightarrowtail$
\rightarrowtail $\rightsquigarrow$
\rightsquigarrow $\twoheadleftarrow$
\twoheadleftarrow $\twoheadrightarrow$
\twoheadrightarrow $\upuparrows$
\upuparrows $\gggtr$
\gggtr $\asymp$
\asymp $\angle$
\angle $\measuredangle$
\measuredangle $\sphericalangle$
\sphericalangle $\circ$
\circ $\emptyset$
\emptyset $\infty$
\infty $\prime$
\prime $\backprime$
\backprime $\exists$
\exists $\forall$
\forall $\neg$
\neg $\times$
\times $\otimes$
\otimes $\oplus$
\oplus $\odot$
\odot $\pm$
\pm $\mp$
\mp $\cap$
\cap $\cup$
\cup $\setminus$
\setminus $\vee$
\vee $\wedge$
\wedge $\parallel$
\parallel $\perp$
\perp $\partial$
\partial $\cdot$
\cdot $\cdots$
\cdots $\ldots$
\ldots $\dots$
\dots $\vdots$
\vdots $\ddots$
\ddots $\mapsto$
\mapsto $\implies$
\implies $\impliedby$
\impliedby $\iff$
\iff $\colon$
\colon $\mid$
\mid $\blacktriangle$
\blacktriangle $\blacktriangledown$
\blacktriangledown $\blacktriangleleft$
\blacktriangleleft $\blacktriangleright$
\blacktriangleright $\bigtriangledown$
\bigtriangledown $\bigtriangleup$
\bigtriangleup $\ntriangleleft$
\ntriangleleft $\ntrianglelefteq$
\ntrianglelefteq $\ntriangleright$
\ntriangleright $\ntrianglerighteq$
\ntrianglerighteq $\triangle$
\triangle $\triangledown$
\triangledown $\triangleleft$
\triangleleft $\trianglelefteq$
\trianglelefteq $\triangleq$
\triangleq $\triangleright$
\triangleright $\trianglerighteq$
\trianglerighteq $\vartriangle$
\vartriangle $\vartriangleleft$
\vartriangleleft $\vartriangleright$
\vartriangleright $\yen$
\yen $\veebar$
\veebar $\circleddash$
\circleddash $\dashv$
\dashv $\hslash$
\hslash $\nVDash$
\nVDash $\nVdash$
\nVdash $\nvDash$
\nvDash $\nvdash$
\nvdash $\oslash$
\oslash $\vdash$
\vdash $\Vdash$
\Vdash $\vDash$
\vDash $\Vvdash$
\Vvdash $\bigoplus$
\bigoplus $\biguplus$
\biguplus $\boxplus$
\boxplus $\dotplus$
\dotplus $\uplus$
\uplus $\boxminus$
\boxminus $\ominus$
\ominus $\smallsetminus$
\smallsetminus $\bigotimes$
\bigotimes $\boxtimes$
\boxtimes $\div$
\div $\divideontimes$
\divideontimes $\leftthreetimes$
\leftthreetimes $\ltimes$
\ltimes $\rightthreetimes$
\rightthreetimes $\rtimes$
\rtimes $\backslash$
\backslash $\bigodot$
\bigodot $\boxdot$
\boxdot $\cdotp$
\cdotp $\centerdot$
\centerdot $\doteq$
\doteq $\doteqdot$
\doteqdot $\dotplus$
\dotplus $\dotsb$
\dotsb $\dotsc$
\dotsc $\dotsi$
\dotsi $\dotsm$
\dotsm $\dotso$
\dotso $\fallingdotseq$
\fallingdotseq $\gtrdot$
\gtrdot $\ldotp$
\ldotp $\lessdot$
\lessdot $\risingdotseq$
\risingdotseq $\Im$
\Im $\Re$
\Re $\clubsuit$
\clubsuit $\diamondsuit$
\diamondsuit $\heartsuit$
\heartsuit $\spadesuit$
\spadesuit $\sqcap$
\sqcap $\sqcup$
\sqcup $\square$
\square $\bigsqcup$
\bigsqcup $\blacksquare$
\blacksquare $\diamond$
\diamond $\Diamond$
\Diamond $\Cup$
\Cup $\bigstar$
\bigstar $\bigcirc$
\bigcirc $\star$
\star $\ulcorner$
\ulcorner $\urcorner$
\urcorner $\llcorner$
\llcorner $\lrcorner$
\lrcorner $\diagdown$
\diagdown $\diagup$
\diagup $\downharpoonleft$
\downharpoonleft $\downharpoonright$
\downharpoonright $\leftharpoondown$
\leftharpoondown $\leftharpoonup$
\leftharpoonup $\leftrightharpoons$
\leftrightharpoons $\rightharpoondown$
\rightharpoondown $\rightharpoonup$
\rightharpoonup $\rightleftharpoons$
\rightleftharpoons $\rightleftharpoons$
\rightleftharpoons $\upharpoonleft$
\upharpoonleft $\upharpoonright$
\upharpoonright $\circeq$
\circeq $\circledast$
\circledast $\circledcirc$
\circledcirc $\circledR$
\circledR $\circledS$
\circledS $\Box$
\Box $\bullet$
\bullet $\Cap$
\Cap $\cong$
\cong $\digamma$
\digamma $\Doteq$
\Doteq $\doublebarwedge$
\doublebarwedge $\doublecap$
\doublecap $\doublecup$
\doublecup $\eqsim$
\eqsim $\eqslantgtr$
\eqslantgtr $\eqslantless$
\eqslantless $\eth$
\eth $\gnapprox$
\gnapprox $\gneq$
\gneq $\gneqq$
\gneqq $\gnsim$
\gnsim $\lnapprox$
\lnapprox $\lneq$
\lneq $\lneqq$
\lneqq $\lnsim$
\lnsim $\longmapsto$
\longmapsto $\leadsto$
\leadsto $\nabla$
\nabla $\ncong$
\ncong $\nexists$
\nexists $\nsim$
\nsim $\wp$
\wp $\wr$
\wr $\therefore$
\therefore $\thickapprox$
\thickapprox $\thicksim$
\thicksim $\smallfrown$
\smallfrown $\smallsmile$
\smallsmile $\smile$
\smile $\space$
\space $\pitchfork$
\pitchfork $\sharp$
\sharp $\shortmid$
\shortmid $\shortparallel$
\shortparallel $\propto$
\propto $\nparallel$
\nparallel $\nshortmid$
\nshortmid $\nshortparallel$
\nshortparallel $\amalg$
\amalg $\ast$
\ast $\lmoustache$
\lmoustache $\rmoustache$
\rmoustache $\Game$
\Game $\curlyeqprec$
\curlyeqprec $\curlyeqsucc$
\curlyeqsucc $\curlyvee$
\curlyvee $\curlywedge$
\curlywedge $\dagger$
\dagger $\ddagger$
\ddagger $\Finv$
\Finv $\flat$
\flat $\frown$
\frown $\gtrapprox$
\gtrapprox $\gtreqless$
\gtreqless $\gtreqqless$
\gtreqqless $\gtrless$
\gtrless $\gtrsim$
\gtrsim $\gvertneqq$
\gvertneqq $\between$
\between $\blacklozenge$
\blacklozenge $\bot$
\bot $\bowtie$
\bowtie $\Bumpeq$
\Bumpeq $\bumpeq$
\bumpeq $\eqcirc$
\eqcirc $\imath$
\imath $\jmath$
\jmath $\Join$
\Join $\land$
\land $\lessapprox$
\lessapprox $\lesseqgtr$
\lesseqgtr $\lesseqqgtr$
\lesseqqgtr $\lessgtr$
\lessgtr $\lesssim$
\lesssim $\S$
\S

Feladat. Állítsd elő ezt a szöveget:

{\bf Definíció.} Az $f$ függvény akkor folytonos az $a$
pontban, ha minden $\varepsilon>0$-hoz létezik olyan $\delta>0$,
hogy $(a-\delta,a+\delta)\subset D(f)$, és
$\forall x\in(a-\delta,a+\delta)$ esetén $|f(x)-f(a)|<\varepsilon$.