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 $|f(x)-f(a)|<\varepsilon$.