Ayuda:Fórmulas Matemáticas

De Wikillerato

Revisión de 09:14 6 nov 2007

Ayuda

A continuación ofrecemos un cuadro de referencia con nociones básicas y ejemplos que sirven de ayuda para escribir fórmulas utilizando el código LaTeX.

Acentos
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
\check{a} \bar{a} \ddot{a} \dot{a}	<img class="tex" alt="\check{a} \bar{a} \ddot{a} \dot{a}\,\!" src="img/002.png">
Funciones estándar
\sin a \cos b \tan c	<img class="tex" alt="\sin a \cos b \tan c\,\!" src="img/003.png">
\sec d \csc e \cot f	<img class="tex" alt="\sec d \csc e \cot f\,\!" src="img/004.png">
\arcsin h \arccos i \arctan j	<img class="tex" alt="\arcsin h \arccos i \arctan j\,\!" src="img/005.png">
\sinh k \cosh l \tanh m \coth n	<img class="tex" alt="\sinh k \cosh l \tanh m \coth n\,\!" src="img/006.png">
\lim u \limsup v \liminf w \min x \max y	<img class="tex" alt="\lim u \limsup v \liminf w \min x \max y\,\!" src="img/007.png">
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g	<img class="tex" alt="\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\,\!" src="img/008.png">
Derivadas
\nabla \partial x dx \dot x \ddot y	<img class="tex" alt="\nabla \partial x dx \dot x \ddot y\,\!" src="img/009.png">
Conjuntos
\forall \exists \empty \emptyset \varnothing	<img class="tex" alt="\forall \exists \empty \emptyset \varnothing\,\!" src="img/010.png">
\in \ni \not \in \notin \subset \subseteq \supset \supseteq	<img class="tex" alt="\in \ni \not \in \notin \subset \subseteq \supset \supseteq\,\!" src="img/011.png">
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus	<img class="tex" alt="\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,\!" src="img/012.png">
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup	<img class="tex" alt="\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,\!" src="img/013.png">
Operadores
+ \oplus \bigoplus \pm \mp -	<img class="tex" alt="+ \oplus \bigoplus \pm \mp - \,\!" src="img/014.png">
\times \otimes \bigotimes \cdot \circ \bullet \bigodot	<img class="tex" alt="\times \otimes \bigotimes \cdot \circ \bullet \bigodot\,\!" src="img/015.png">
\star * / \div \frac{1}{2}	<img class="tex" alt="\star * / \div \frac{1}{2}\,\!" src="img/016.png">
Lógica
\land \wedge \bigwedge \bar{q} \to p	<img class="tex" alt="\land \wedge \bigwedge \bar{q} \to p\,\!" src="img/017.png">
\lor \vee \bigvee \lnot \neg q \And	<img class="tex" alt="\lor \vee \bigvee \lnot \neg q \And\,\!" src="img/018.png">
Raíces
\sqrt{2} \sqrt[n]{x}	<img class="tex" alt="\sqrt{2} \sqrt[n]{x}\,\!" src="img/019.png">
Relaciones
\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}	<img class="tex" alt="\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,\!" src="img/020.png">
\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto	<img class="tex" alt="\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto\,\!" src="img/021.png">
Geometría
\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ	<img class="tex" alt="\Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \| 45^\circ\,\!" src="img/022.png">
Flechas
\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow	<img class="tex" alt="\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow\,\!" src="img/023.png">
\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft	<img class="tex" alt="\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft\,\!" src="img/024.png">
\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow	<img class="tex" alt="\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow\,\!" src="img/025.png">
\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft	<img class="tex" alt="\Longrightarrow \Longleftrightarrow \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,\!" src="img/026.png">
\nLeftrightarrow \longleftrightarrow	<img class="tex" alt="\nLeftrightarrow \longleftrightarrow\,\!" src="img/027.png">
Especial
\eth \S \P \% \dagger \ddagger \ldots \cdots	<img class="tex" alt="\eth \S \P \% \dagger \ddagger \ldots \cdots\,\!" src="img/028.png">
\smile \frown \wr \triangleleft \triangleright \infty \bot \top	<img class="tex" alt="\smile \frown \wr \triangleleft \triangleright \infty \bot \top\,\!" src="img/029.png">
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar	<img class="tex" alt="\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,\!" src="img/030.png">
Otros
\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown	<img class="tex" alt=" \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown" src="img/031.png">
\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge	<img class="tex" alt=" \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge" src="img/032.png">
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes	<img class="tex" alt=" \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes" src="img/033.png">
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant	<img class="tex" alt=" \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant" src="img/034.png">
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq	<img class="tex" alt=" \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq" src="img/035.png">
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft	<img class="tex" alt=" \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft" src="img/036.png">
\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot	<img class="tex" alt=" \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot" src="img/037.png">
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq	<img class="tex" alt=" \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq" src="img/038.png">
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork	<img class="tex" alt=" \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork" src="img/039.png">
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq	<img class="tex" alt=" \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq" src="img/040.png">
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid	<img class="tex" alt=" \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid" src="img/041.png">
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr	<img class="tex" alt=" \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr" src="img/042.png">
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq	<img class="tex" alt=" \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq" src="img/043.png">
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq	<img class="tex" alt=" \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq" src="img/044.png">
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq	<img class="tex" alt=" \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq" src="img/045.png">
\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus	<img class="tex" alt="\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,\!" src="img/046.png">
\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq	<img class="tex" alt="\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,\!" src="img/047.png">