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Ayuda:Fórmulas Matemáticas

De Wikillerato

(Diferencias entre revisiones)
Revisión actual (14:53 9 oct 2008) (editar) (deshacer)
 
(25 ediciones intermedias no se muestran.)
Línea 1: Línea 1:
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<h2>Ayuda</h2>
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A continuación ofrecemos un cuadro de referencia con nociones básicas y ejemplos que sirven de ayuda para escribir fórmulas utilizando el código LaTeX.
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<p>A continuaci&oacute;n ofrecemos un cuadro de referencia con nociones b&aacute;sicas y ejemplos que sirven de ayuda para escribir f&oacute;rmulas utilizando el c&oacute;digo LaTeX.</p>
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<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
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<h3>Básicos</h3>
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<tr>
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<th colspan="2">Acentos</th>
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</tr>
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<tr>
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<td><code>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</code></td>
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<td><math>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</math></td>
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</tr>
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<tr>
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<td><code>\check{a} \bar{a} \ddot{a} \dot{a}</code></td>
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<td><img class="tex" alt="\check{a} \bar{a} \ddot{a} \dot{a}\,\!" src="img/002.png"></td>
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</tr>
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<tr>
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<th colspan="2">Funciones est&aacute;ndar</th>
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</tr>
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<tr>
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<td><code>\sin a \cos b \tan c</code></td>
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<td><img class="tex" alt="\sin a \cos b \tan c\,\!" src="img/003.png"></td>
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</tr>
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<tr>
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<td><code>\sec d \csc e \cot f</code></td>
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<td><img class="tex" alt="\sec d \csc e \cot f\,\!" src="img/004.png"></td>
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</tr>
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<tr>
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<td><code>\arcsin h \arccos i \arctan j</code></td>
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<td><img class="tex" alt="\arcsin h \arccos i \arctan j\,\!" src="img/005.png"></td>
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</tr>
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<tr>
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<td><code>\sinh k \cosh l \tanh m \coth n</code></td>
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<td><img class="tex" alt="\sinh k \cosh l \tanh m \coth n\,\!" src="img/006.png"></td>
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</tr>
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<tr>
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<td><code>\lim u \limsup v \liminf w \min x \max y</code></td>
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<td><img class="tex" alt="\lim u \limsup v \liminf w \min x \max y\,\!" src="img/007.png"></td>
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</tr>
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<tr>
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<td><code>\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g</code></td>
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<td><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"></td>
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</tr>
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<tr>
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<th colspan="2">Derivadas</th>
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</tr>
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<tr>
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<td><code>\nabla \partial x dx \dot x \ddot y</code></td>
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<td><img class="tex" alt="\nabla \partial x dx \dot x \ddot y\,\!" src="img/009.png"></td>
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</tr>
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<tr>
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<th colspan="2">Conjuntos</th>
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</tr>
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<tr>
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<td><code>\forall \exists \empty \emptyset \varnothing</code></td>
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<td><img class="tex" alt="\forall \exists \empty \emptyset \varnothing\,\!" src="img/010.png"></td>
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</tr>
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<tr>
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<td><code>\in \ni \not \in \notin \subset \subseteq \supset \supseteq</code></td>
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<td><img class="tex" alt="\in \ni \not \in \notin \subset \subseteq \supset \supseteq\,\!" src="img/011.png"></td>
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</tr>
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<tr>
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<td><code>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus</code></td>
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<td><img class="tex" alt="\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,\!" src="img/012.png"></td>
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</tr>
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<tr>
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<td><code>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup</code></td>
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<td><img class="tex" alt="\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,\!" src="img/013.png"></td>
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</tr>
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<tr>
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<th colspan="2">Operadores</th>
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</tr>
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<tr>
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<td><code>+ \oplus \bigoplus \pm \mp -</code></td>
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<td><img class="tex" alt="+ \oplus \bigoplus \pm \mp - \,\!" src="img/014.png"></td>
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</tr>
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<tr>
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<td><code>\times \otimes \bigotimes \cdot \circ \bullet \bigodot</code></td>
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<td><img class="tex" alt="\times \otimes \bigotimes \cdot \circ \bullet \bigodot\,\!" src="img/015.png"></td>
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</tr>
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<tr>
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<td><code>\star * / \div \frac{1}{2}</code></td>
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<td><img class="tex" alt="\star * / \div \frac{1}{2}\,\!" src="img/016.png"></td>
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</tr>
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<tr>
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<th colspan="2">L&oacute;gica</th>
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</tr>
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<tr>
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<td><code>\land \wedge \bigwedge \bar{q} \to p</code></td>
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<td><img class="tex" alt="\land \wedge \bigwedge \bar{q} \to p\,\!" src="img/017.png"></td>
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</tr>
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<tr>
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<td><code>\lor \vee \bigvee \lnot \neg q \And</code></td>
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<td><img class="tex" alt="\lor \vee \bigvee \lnot \neg q \And\,\!" src="img/018.png"></td>
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</tr>
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<tr>
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<th colspan="2">Ra&iacute;ces</th>
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</tr>
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<tr>
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<td><code>\sqrt{2} \sqrt[n]{x}</code></td>
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<td><img class="tex" alt="\sqrt{2} \sqrt[n]{x}\,\!" src="img/019.png"></td>
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</tr>
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<tr>
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<th colspan="2">Relaciones</th>
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</tr>
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<tr>
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<td><code>\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}</code></td>
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<td><img class="tex" alt="\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,\!" src="img/020.png"></td>
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</tr>
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<tr>
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<td><code>\le &lt; \ll \gg \ge &gt; \equiv \not\equiv \ne \mbox{or} \neq \propto</code></td>
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<td><img class="tex" alt="\le &lt; \ll \gg \ge &gt; \equiv \not\equiv \ne \mbox{or} \neq \propto\,\!" src="img/021.png"></td>
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</tr>
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<tr>
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<th colspan="2">Geometr&iacute;a</th>
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</tr>
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<tr>
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<td><code>\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ</code></td>
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<td><img class="tex" alt="\Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \| 45^\circ\,\!" src="img/022.png"></td>
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</tr>
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<tr>
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<th colspan="2">Flechas</th>
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</tr>
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<tr>
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<td><code>\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow</code></td>
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<td><img class="tex" alt="\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow\,\!" src="img/023.png"></td>
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</tr>
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<tr>
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<td><code>\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft</code></td>
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<td><img class="tex" alt="\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft\,\!" src="img/024.png"></td>
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</tr>
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<tr>
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<td><code>\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow</code></td>
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<td><img class="tex" alt="\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow\,\!" src="img/025.png"></td>
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</tr>
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<tr>
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<td><code>\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft</code></td>
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<td><img class="tex" alt="\Longrightarrow \Longleftrightarrow \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,\!" src="img/026.png"></td>
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</tr>
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<tr>
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<td><code>\nLeftrightarrow \longleftrightarrow</code></td>
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<td><img class="tex" alt="\nLeftrightarrow \longleftrightarrow\,\!" src="img/027.png"></td>
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</tr>
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<tr>
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<th colspan="2">Especial</th>
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</tr>
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<tr>
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<td><code>\eth \S \P \% \dagger \ddagger \ldots \cdots</code></td>
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<td><img class="tex" alt="\eth \S \P \% \dagger \ddagger \ldots \cdots\,\!" src="img/028.png"></td>
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</tr>
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<tr>
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<td><code>\smile \frown \wr \triangleleft \triangleright \infty \bot \top</code></td>
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<td><img class="tex" alt="\smile \frown \wr \triangleleft \triangleright \infty \bot \top\,\!" src="img/029.png"></td>
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-
</tr>
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<tr>
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<td><code>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar</code></td>
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<td><img class="tex" alt="\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,\!" src="img/030.png"></td>
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</tr>
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<tr>
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<th colspan="2">Otros</th>
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</tr>
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<tr>
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<td><code>\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</code></td>
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<td><img class="tex" alt=" \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown" src="img/031.png"></td>
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-
</tr>
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<tr>
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<td><code>\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge</code></td>
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<td><img class="tex" alt=" \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge" src="img/032.png"></td>
+
-
</tr>
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-
<tr>
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-
<td><code>\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</code></td>
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<td><img class="tex" alt=" \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes" src="img/033.png"></td>
+
-
</tr>
+
-
<tr>
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<td><code>\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</code></td>
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<td><img class="tex" alt=" \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant" src="img/034.png"></td>
+
-
</tr>
+
-
<tr>
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-
<td><code>\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq</code></td>
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<td><img class="tex" alt=" \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq" src="img/035.png"></td>
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-
</tr>
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<tr>
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<td><code>\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft</code></td>
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<td><img class="tex" alt=" \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft" src="img/036.png"></td>
+
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</tr>
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<tr>
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<td><code>\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</code></td>
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<td><img class="tex" alt=" \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot" src="img/037.png"></td>
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-
</tr>
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<tr>
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<td><code>\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</code></td>
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<td><img class="tex" alt=" \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq" src="img/038.png"></td>
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-
</tr>
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<tr>
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<td><code>\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</code></td>
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<td><img class="tex" alt=" \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork" src="img/039.png"></td>
+
-
</tr>
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<tr>
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<td><code>\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</code></td>
+
-
<td><img class="tex" alt=" \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq" src="img/040.png"></td>
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-
</tr>
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<tr>
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<td><code>\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</code></td>
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<td><img class="tex" alt=" \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid" src="img/041.png"></td>
+
-
</tr>
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<tr>
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<td><code>\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr</code></td>
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<td><img class="tex" alt=" \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr" src="img/042.png"></td>
+
-
</tr>
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<tr>
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<td><code>\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</code></td>
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<td><img class="tex" alt=" \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq" src="img/043.png"></td>
+
-
</tr>
+
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<tr>
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<td><code>\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</code></td>
+
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<td><img class="tex" alt=" \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq" src="img/044.png"></td>
+
-
</tr>
+
-
<tr>
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<td><code>\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</code></td>
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-
<td><img class="tex" alt=" \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq" src="img/045.png"></td>
+
-
</tr>
+
-
<tr>
+
-
<td><code>\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus</code></td>
+
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<td><img class="tex" alt="\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,\!" src="img/046.png"></td>
+
-
</tr>
+
-
<tr>
+
-
<td><code>\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq</code></td>
+
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<td><img class="tex" alt="\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,\!" src="img/047.png"></td>
+
-
</tr>
+
-
</table>
+
-
<math>actualizando</math>
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<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th colspan="2">Acentos</th>
 +
</tr>
 +
<tr>
 +
<td><code>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</code></td>
 +
<td><math>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\check{a} \bar{a} \ddot{a} \dot{a}</code></td>
 +
<td><math> \check{a} \bar{a} \ddot{a} \dot{a} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Funciones estándar</th>
 +
</tr>
 +
<tr>
 +
<td><code>\sin a \cos b \tan c</code></td>
 +
<td><math> \sin a \cos b \tan c </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\sec d \csc e \cot f</code></td>
 +
<td><math> \sec d \csc e \cot f </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\arcsin h \arccos i \arctan j</code></td>
 +
<td><math> \arcsin h \arccos i \arctan j </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\sinh k \cosh l \tanh m \coth n</code></td>
 +
<td><math> \sinh k \cosh l \tanh m \coth n </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\lim u \limsup v \liminf w \min x \max y</code></td>
 +
<td><math> \lim u \limsup v \liminf w \min x \max y </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g</code></td>
 +
<td><math> \inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Derivadas</th>
 +
</tr>
 +
<tr>
 +
<td><code>\nabla \partial x dx \dot x \ddot y</code></td>
 +
<td><math> \nabla \partial x dx \dot x \ddot y </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Conjuntos</th>
 +
</tr>
 +
<tr>
 +
<td><code>\forall \exists \emptyset \varnothing</code></td>
 +
<td><math> \forall \exists \emptyset \varnothing </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\in \ni \notin \subset \subseteq \supset \supseteq</code></td>
 +
<td><math> \in \ni \notin \subset \subseteq \supset \supseteq </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus</code></td>
 +
<td><math> \cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup</code></td>
 +
<td><math> \sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Operadores</th>
 +
</tr>
 +
<tr>
 +
<td><code>+ \oplus \bigoplus \pm \mp -</code></td>
 +
<td><math> + \oplus \bigoplus \pm \mp - </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\times \otimes \bigotimes \cdot \circ \bullet \bigodot</code></td>
 +
<td><math> \times \otimes \bigotimes \cdot \circ \bullet \bigodot </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\star * / \div \frac{1}{2}</code></td>
 +
<td><math> \star * / \div \frac{1}{2} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Lógica</th>
 +
</tr>
 +
<tr>
 +
<td><code>\land \wedge \bigwedge \bar{q} \to p</code></td>
 +
<td><math> \land \wedge \bigwedge \bar{q} \to p </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\lor \vee \bigvee \lnot \neg q \And</code></td>
 +
<td><math> \lor \vee \bigvee \lnot \neg q \And </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Raíces</th>
 +
</tr>
 +
<tr>
 +
<td><code>\sqrt{2} \sqrt[n]{x}</code></td>
 +
<td><math> \sqrt{2} \sqrt[n]{x} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Relaciones</th>
 +
</tr>
 +
<tr>
 +
<td><code>\sim \approx \simeq \cong</code></td>
 +
<td><math> \sim \approx \simeq \cong </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto</code></td>
 +
<td><math> \le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Geometría</th>
 +
</tr>
 +
<tr>
 +
<td><code>\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ</code></td>
 +
<td><math> \Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Flechas</th>
 +
</tr>
 +
<tr>
 +
<td><code>\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow</code></td>
 +
<td><math> \leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft</code></td>
 +
<td><math> \uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow</code></td>
 +
<td><math> \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\Longrightarrow \Uparrow \Downarrow \Updownarrow</code></td>
 +
<td><math> \Longrightarrow \Uparrow \Downarrow \Updownarrow </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\nLeftrightarrow \longleftrightarrow</code></td>
 +
<td><math> \nLeftrightarrow \longleftrightarrow </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Especial</th>
 +
</tr>
 +
<tr>
 +
<td><code>\eth \S \P \% \dagger \ddagger \ldots \cdots</code></td>
 +
<td><math> \eth \S \P \% \dagger \ddagger \ldots \cdots </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\smile \frown \wr \triangleleft \triangleright \infty \bot \top</code></td>
 +
<td><math> \smile \frown \wr \triangleleft \triangleright \infty \bot \top </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar</code></td>
 +
<td><math> \vdash \vDash \Vdash \models \lVert \rVert \imath \hbar </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<th colspan="2">Otros</th>
 +
</tr>
 +
<tr>
 +
<td><code>\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</code></td>
 +
<td><math> \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge</code></td>
 +
<td><math> \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</code></td>
 +
<td><math> \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</code></td>
 +
<td><math> \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td><code>\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot</code></td>
 +
<td><math> \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox </code></td>
 +
<td><math> \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td><code>\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</code></td>
 +
<td><math> \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</code></td>
 +
<td><math> \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</code></td>
 +
<td><math> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</code></td>
 +
<td><math> \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</code></td>
 +
<td><math> \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \ngtr</code></td>
 +
<td><math> \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \ngtr </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</code></td>
 +
<td><math> \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</code></td>
 +
<td><math> \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</code></td>
 +
<td><math> \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<h3>Subíndices, superíndices, integrales</h3>
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th>&nbsp;</th>
 +
<th>Sintaxis</th>
 +
<th>Cómo se verá</th>
 +
</tr>
 +
<tr>
 +
<td>Super&iacute;ndice</td>
 +
<td><code>a^2</code></td>
 +
<td><math> a^2 </math></td>
 +
</tr>
 +
<tr>
 +
<td>Subíndice</td>
 +
<td><code>a_2</code></td>
 +
<td><math> a_2 </math></td>
 +
</tr>
 +
<tr>
 +
<td rowspan="2">Agrupar</td>
 +
<td><code>a^{2+2}</code></td>
 +
<td><math> a^{2+2} </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>a_{i,j}</code></td>
 +
<td><math> a_{i,j} </math></td>
 +
</tr>
 +
<tr>
 +
<td>Combinar superindice y subíndice</td>
 +
<td><code>x_2^3</code></td>
 +
<td><math> x_2^3 </math></td>
 +
</tr>
 +
<tr>
 +
<td rowspan="2">Superíndices y subíndices, anteriores, posteriores, arriba y abajo</td>
 +
<td><code>\sideset {_1^2} {_3^4} \prod_a^b</code></td>
 +
<td><math> \sideset {_1^2} {_3^4} \prod_a^b </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>{}_1^2 \! \Omega_3^4</code></td>
 +
<td><math> {}_1^2 \! \Omega_3^4 </math></td>
 +
</tr>
 +
<tr>
 +
<td rowspan="3">Apilar</td>
 +
<td><code>\overset { \alpha} { \omega}</code></td>
 +
<td><math> \overset { \alpha} { \omega} </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\overset { \alpha} { \underset { \gamma} { \omega}}</code></td>
 +
<td><math> \overset { \alpha} { \underset { \gamma} { \omega}} </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\stackrel { \alpha} { \omega}</code></td>
 +
<td><math> \stackrel { \alpha} { \omega} </math></td>
 +
</tr>
 +
<tr>
 +
<td>Derivadas</td>
 +
<td><code>x', y'', f', f''</code></td>
 +
<td><math> x', y'', f', f'' </math></td>
 +
</tr>
 +
<tr>
 +
<td rowspan="3">Subrayado, línea superior, vectores</td>
 +
<td><code>\hat a \ \bar b \ \vec c</code></td>
 +
<td><math> \hat a \ \bar b \ \vec c </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\overrightarrow {a b} \overleftarrow {c d} \widehat {d e f}</code></td>
 +
<td><math> \overrightarrow {a b} \overleftarrow {c d} \widehat {d e f} </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\overline {g h i} \underline {j k l}</code></td>
 +
<td><math> \overline {g h i} \underline {j k l} </math></td>
 +
</tr>
 +
<tr>
 +
<td>Flechas</td>
 +
<td><code>A \xleftarrow {n+ \mu-1} B \xrightarrow[T] {n \pm i-1} C</code></td>
 +
<td><math> A \xleftarrow {n+ \mu-1} B \xrightarrow[T] {n \pm i-1} C </math></td>
 +
</tr>
 +
<tr>
 +
<td>Llaves superiores</td>
 +
<td><code>\overbrace{ 1+2+ \cdots+100 } ^ {5050}</code></td>
 +
<td><math> \overbrace{ 1+2+ \cdots+100 } ^ {5050} </math></td>
 +
</tr>
 +
<tr>
 +
<td>Llaves inferiores</td>
 +
<td><code>\underbrace { a+b+ \cdots+z }_{26}</code></td>
 +
<td><math> \underbrace { a+b+ \cdots+z }_{26} </math></td>
 +
</tr>
 +
<tr>
 +
<td>Sumatorios</td>
 +
<td><code>\sum_{k=1}^N k^2</code></td>
 +
<td><math> \sum_{k=1}^N k^2 </math></td>
 +
</tr>
 +
<tr>
 +
<td>Productorio</td>
 +
<td><code>\prod_{i=1}^N x_i</code></td>
 +
<td><math> \prod_{i=1}^N x_i </math></td>
 +
</tr>
 +
<tr>
 +
<td>Coproducto</td>
 +
<td><code>\coprod_{i=1}^N x_i</code></td>
 +
<td><math> \coprod_{i=1}^N x_i </math></td>
 +
</tr>
 +
<tr>
 +
<td>Límite</td>
 +
<td><code>\lim_{n \to \infty}x_n</code></td>
 +
<td><math> \lim_{n \to \infty}x_n </math></td>
 +
</tr>
 +
<tr>
 +
<td>Integral</td>
 +
<td><code>\int_{-N}^{N} e^x\, dx</code></td>
 +
<td ><math>\int_{-N}^{N} e^x\, dx</math></td>
 +
</tr>
 +
<tr>
 +
<td>Integral doble</td>
 +
<td><code>\iint_{D}^{W} \, dx\,dy</code></td>
 +
<td><math> \iint_{D}^{W} \, dx\,dy </math></td>
 +
</tr>
 +
<tr>
 +
<td>Integral triple</td>
 +
<td><code>\iiint_{E}^{V} \, dx\,dy\,dz</code></td>
 +
<td><math> \iiint_{E}^{V} \, dx\,dy\,dz </math></td>
 +
</tr>
 +
<tr>
 +
<td>Integral de l&iacute;nea</td>
 +
<td><code>\oint_{C} x^3\, dx + 4y^2\, dy</code></td>
 +
<td><math> \oint_{C} x^3\, dx + 4y^2\, dy </math></td>
 +
</tr>
 +
<tr>
 +
<td>Intersecciones</td>
 +
<td><code>\bigcap_1^{n} p</code></td>
 +
<td><math> \bigcap_1^{n} p </math></td>
 +
</tr>
 +
<tr>
 +
<td>Uniones</td>
 +
<td><code>\bigcup_1^{k} p</code></td>
 +
<td><math> \bigcup_1^{k} p </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<h3>Fracciones, matrices, multilíneas</h3>
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th>&nbsp;</th>
 +
<th>Sintaxis</th>
 +
<th>Cómo se verá</th>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Fracciones</td>
 +
<td><code>\frac{2}{4}=0.5</code></td>
 +
<td><math>\frac{2}{4}=0.5</math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Coeficiente binomial</td>
 +
<td><code>\binom{n}{k}</code></td>
 +
<td><math>\binom{n}{k}</math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td rowspan="7">Matrices</td>
 +
<td>\begin{matrix}<br />x &amp; y \\<br />z &amp; v<br />\end{matrix}</td>
 +
<td><math> \begin{matrix} x & y \\ z & v \end{matrix} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\begin{vmatrix}<br />x &amp; y \\<br />z &amp; v<br />\end{vmatrix}</td>
 +
<td><math> \begin{vmatrix} x & y \\ z & v \end{vmatrix} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\begin{Vmatrix<br />x &amp; y \\<br />z &amp; v<br />\end{Vmatrix}</td>
 +
<td><math> \begin{Vmatrix} x & y \\ z & v \end{Vmatrix} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\begin{bmatrix}<br />0 &amp; \cdots &amp; 0 \\<br />\vdots &amp; \ddots &amp; \vdots \\<br />0 &amp; \cdots &amp; 0<br />\end{bmatrix}</td>
 +
<td><math> \begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\begin{Bmatrix}<br />x &amp; y \\<br />z &amp; v<br />\end{Bmatrix}</td>
 +
<td><math> \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\begin{pmatrix}<br />x &amp; y \\<br />z &amp; v <br />\end{pmatrix}</td>
 +
<td><math> \begin{pmatrix} x & y \\ z & v \end{pmatrix} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\bigl( \begin{smallmatrix}<br />a&amp;b\\ c&amp;d<br />\end{smallmatrix} \bigr)</td>
 +
<td><math> \bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Distinción de casos</td>
 +
<td>f(n) =<br />\begin{cases}<br />n/2, &amp; \mbox{if }n\mbox{ is even} \\<br />3n+1, &amp; \mbox{if }n\mbox{ is odd}<br />\end{cases}</td>
 +
<td><math> f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} </math> </td>
 +
</tr>
 +
 
 +
<tr>
 +
<td rowspan="2">Ecuaciones multilínea (se debe definir el número de columnas con {lcl})</td>
 +
<td>\begin{array}{lcl}<br />z &amp; = &amp; a \\<br />f(x,y,z) &amp; = &amp; x + y + z<br />\end{array}</td>
 +
<td><math> \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>\begin{array}{lclcl}<br />z & = & a & = & \sqrt 2\\<br />f(x,y,z) & = & x + y + z & = & t^2\\<br />f(z) & = & x+y & = & 2 \pi<br />\end{array}</td>
 +
<td><math> \begin{array}{lclcl} z & = & a & = & \sqrt 2\\ f(x,y,z) & = & x + y + z & = & t^2\\ f(z) & = & x+y & = & 2 \pi \end{array} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Romper largas expresiones para hacer más legible el código</td>
 +
<td>&lt;math&gt;f(x) \,\!&lt;/math&gt;<br />&lt;math&gt;= \sum_{n=0}^\infty a_n x^n &lt;/math&gt;<br />&lt;math&gt;= a_0+a_1x+a_2x^2+\cdots&lt;/math&gt;</td>
 +
<td>
 +
<math> f(x) \,\! </math>
 +
<math> = \sum_{n=0}^ \infty a_n x^n </math>
 +
<math> = a_0+a_1x+a_2x^2+ \cdots </math>
 +
</td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Ecuaciones simultáneas</td>
 +
<td>\begin{cases}<br />3x + 5y + z \\<br />7x - 2y + 4z \\<br />-6x + 3y + 2z<br />\end{cases}</td>
 +
<td><math> \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases} </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<h3>Alfabetos</h3>
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th colspan="2">Alfabeto griego</th>
 +
</tr>
 +
<tr>
 +
<td><code> \Delta \Theta \Lambda</code></td>
 +
<td><math> \Delta \Theta \Lambda </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\Xi \Pi \Sigma</code></td>
 +
<td><math>\Xi \Pi \Sigma </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\Upsilon \Phi \Psi \Omega</code></td>
 +
<td><math> \Upsilon \Phi \Psi \Omega </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\alpha \beta \gamma \delta \epsilon \zeta</code></td>
 +
<td><math> \alpha \beta \gamma \delta \epsilon \zeta </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\eta \theta \iota \kappa \lambda \mu</code></td>
 +
<td><math> \eta \theta \iota \kappa \lambda \mu </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\nu \xi \pi \rho \sigma \tau</code></td>
 +
<td><math> \nu \xi \pi \rho \sigma \tau </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\upsilon \phi \chi \psi \omega</code></td>
 +
<td><math> \upsilon \phi \chi \psi \omega </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\varepsilon \digamma \vartheta \varkappa</code></td>
 +
<td><math> \varepsilon \digamma \vartheta \varkappa </math></td>
 +
</tr>
 +
<tr>
 +
<td><code>\varpi \varrho \varsigma \varphi</code></td>
 +
<td><math> \varpi \varrho \varsigma \varphi </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<h3>Añadiendo paréntesis a grandes expresiones</h3>
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th>&nbsp;</th>
 +
<th>Sintaxis</th>
 +
<th>Cómo se verá</th>
 +
</tr>
 +
<tr>
 +
<td>Mal</td>
 +
<td> ( \frac{1}{2} )</td>
 +
<td><math> ( \frac{1}{2} ) </math></td>
 +
</tr>
 +
<tr>
 +
<td>Bien</td>
 +
<td> \left ( \frac{1}{2} \right )</td>
 +
<td><math> \left ( \frac{1} {2} \right ) </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th>&nbsp;</th>
 +
<th>Sintaxis</th>
 +
<th>Cómo se verá</th>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Paréntesis</td>
 +
<td>\left ( \frac{a}{b} \right )</td>
 +
<td><math> \left ( \frac{a}{b} \right ) </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Corchetes</td>
 +
<td>\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack</td>
 +
<td><math> \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Llaves</td>
 +
<td>\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace</td>
 +
<td><math> \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Barras y dobles barras</td>
 +
<td>\left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|</td>
 +
<td><math> \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \| </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Barras invertidas</td>
 +
<td>\left / \frac{a}{b} \right \backslash</td>
 +
<td><math> \left / \frac{a}{b} \right \backslash </math></td>
 +
</tr>
 +
<tr>
 +
<td>Flechas arriba y abajo</td>
 +
<td>\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow</td>
 +
<td><math> \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow </math></td>
 +
</tr>
 +
<tr>
 +
<td>Los delimitadores pueden mezclarse</td>
 +
<td>\left [ 0,1 \right )</td>
 +
<td><math> \left [ 0,1 \right ) </math></td>
 +
</tr>
 +
<tr>
 +
<td>Usa \left. y \right. si no quieres que un delimitador aparezca</td>
 +
<td>\left . \frac{A}{B} \right \} \to X</td>
 +
<td><math> \left . \frac{A}{B} \right \} \to X </math></td>
 +
</tr>
 +
<tr>
 +
<td rowspan="5">Tamaño de los delimitadores</td>
 +
<td>\big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]</td>
 +
<td><math> \big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big] </math></td>
 +
</tr>
 +
<tr>
 +
<td>\big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle</td>
 +
<td><math> \big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle </math></td>
 +
</tr>
 +
<tr>
 +
<td>\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow</td>
 +
<td><math> \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow </math></td>
 +
</tr>
 +
<tr>
 +
<td>\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow ... \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow</td>
 +
<td><math> \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow ... \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow </math></td>
 +
</tr>
 +
<tr>
 +
<td>\big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash</td>
 +
<td><math> \big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<h3>Espaciado</h3>
 +
 
 +
Nota: TeX elimina los espacios automáticamente, pero puedes controlarlos manualmente.
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<th>&nbsp;</th>
 +
<th>Sintaxis</th>
 +
<th>Cómo se verá</th>
 +
</tr>
 +
<tr>
 +
<td>Espacio en blanco</td>
 +
<td>a\ b</td>
 +
<td><math> a\ b </math></td>
 +
</tr>
 +
</table>
 +
 
 +
<h3>Ejemplos</h3>
 +
 
 +
<table style="border: 1px solid rgb(170, 170, 170); margin: 1em 1em 1em 0pt; background: rgb(249, 249, 249) none repeat scroll 0%;border-collapse: collapse;" border="2" cellpadding="4" cellspacing="0">
 +
<tr>
 +
<td>Polinomio cuadrático</td>
 +
<td><code>ax^2 + bx + c = 0\,\!</code></td>
 +
<td><math> ax^2 + bx + c = 0\,\! </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Fórmula cuadrática</td>
 +
<td><code>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</code></td>
 +
<td><math> x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td rowspan="2">Paréntesis altos y fracciones</td>
 +
<td><code>2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)</code></td>
 +
<td><math> 2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right) </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td><code>S_{new} = S_{old} + \frac{ \left( 5-T \right) ^2} {2}</code></td>
 +
<td><math> S_{new} = S_{old} + \frac{ \left( 5-T \right) ^2} {2} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Integrales</td>
 +
<td><code>\int_a^x \,dy = \int_a^x f(y) </code></td>
 +
<td><math> \int_a^x \,dy = \int_a^x f(y) </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Sumatorios</td>
 +
<td><code>\sum_{n=1}^\infty\frac{m^2\,n}{3^m}</code></td>
 +
<td><math> \sum_{n=1}^\infty\frac{m^2\,n}{3^m} </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Ecuaciones diferenciales</td>
 +
<td><code>u'' + p(x)u' = f(x),\quad x>a</code></td>
 +
<td><math> u'' + p(x)u' = f(x),\quad x>a </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Límites</td>
 +
<td><code>\lim_{z\rightarrow z_0} f(z)=f(z_0)</code></td>
 +
<td><math> \lim_{z\rightarrow z_0} f(z)=f(z_0) </math></td>
 +
</tr>
 +
 
 +
<tr>
 +
<td>Casos</td>
 +
<td><code>f(x) = \begin{cases}<br />1 &amp; -1 \le x &lt; 0 \\<br />\frac{1}{2} &amp; x = 0 \\<br />1 - x^2 &amp; 0 &lt; x\le 1<br />\end{cases}</code></td>
 +
<td><math> f(x) = \begin {cases}
 +
1 & -1 \le x < 0 \\
 +
\frac{1}{2} & x = 0 \\
 +
1 - x^2 & 0 < x\le 1
 +
\end {cases} </math></td>
 +
</tr>
 +
</table>
 +
 
 +
Para más información visita la ayuda de TeX en [http://es.wikipedia.org/wiki/Wikipedia:Usando_TeX Wikipedia]
 +
 
 +
[[Categoría:Ayuda]]

Revisión actual

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

Tabla de contenidos

Básicos

Acentos
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a} \acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
\check{a} \bar{a} \ddot{a} \dot{a}  \check{a} \bar{a} \ddot{a} \dot{a}
Funciones estándar
\sin a \cos b \tan c  \sin a \cos b \tan c
\sec d \csc e \cot f  \sec d \csc e \cot f
\arcsin h \arccos i \arctan j  \arcsin h \arccos i \arctan j
\sinh k \cosh l \tanh m \coth n  \sinh k \cosh l \tanh m \coth n
\lim u \limsup v \liminf w \min x \max y  \lim u \limsup v \liminf w \min x \max y
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g  \inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g
Derivadas
\nabla \partial x dx \dot x \ddot y  \nabla \partial x dx \dot x \ddot y
Conjuntos
\forall \exists \emptyset \varnothing  \forall \exists \emptyset \varnothing
\in \ni \notin \subset \subseteq \supset \supseteq  \in \ni \notin \subset \subseteq \supset \supseteq
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus  \cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup  \sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup
Operadores
+ \oplus \bigoplus \pm \mp -  + \oplus \bigoplus \pm \mp -
\times \otimes \bigotimes \cdot \circ \bullet \bigodot  \times \otimes \bigotimes \cdot \circ \bullet \bigodot
\star * / \div \frac{1}{2}  \star * / \div \frac{1}{2}
Lógica
\land \wedge \bigwedge \bar{q} \to p  \land \wedge \bigwedge \bar{q} \to p
\lor \vee \bigvee \lnot \neg q \And  \lor \vee \bigvee \lnot \neg q \And
Raíces
\sqrt{2} \sqrt[n]{x}  \sqrt{2} \sqrt[n]{x}
Relaciones
\sim \approx \simeq \cong  \sim \approx \simeq \cong
\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto  \le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto
Geometría
\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ  \Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ
Flechas
\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow  \leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow
\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft  \uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft
\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow  \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow
\Longrightarrow \Uparrow \Downarrow \Updownarrow  \Longrightarrow \Uparrow \Downarrow \Updownarrow
\nLeftrightarrow \longleftrightarrow  \nLeftrightarrow \longleftrightarrow
Especial
\eth \S \P \% \dagger \ddagger \ldots \cdots  \eth \S \P \% \dagger \ddagger \ldots \cdots
\smile \frown \wr \triangleleft \triangleright \infty \bot \top  \smile \frown \wr \triangleleft \triangleright \infty \bot \top
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar  \vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
Otros
\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown  \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge  \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes  \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant  \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot  \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox  \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox
\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot  \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq  \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork  \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq  \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid  \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \ngtr  \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \ngtr
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq  \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq  \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq  \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq

Subíndices, superíndices, integrales

  Sintaxis Cómo se verá
Superíndice a^2  a^2
Subíndice a_2  a_2
Agrupar a^{2+2}  a^{2+2}
a_{i,j}  a_{i,j}
Combinar superindice y subíndice x_2^3  x_2^3
Superíndices y subíndices, anteriores, posteriores, arriba y abajo \sideset {_1^2} {_3^4} \prod_a^b  \sideset {_1^2} {_3^4} \prod_a^b
{}_1^2 \! \Omega_3^4  {}_1^2 \! \Omega_3^4
Apilar \overset { \alpha} { \omega}  \overset { \alpha} { \omega}
\overset { \alpha} { \underset { \gamma} { \omega}}  \overset { \alpha} { \underset { \gamma} { \omega}}
\stackrel { \alpha} { \omega}  \stackrel { \alpha} { \omega}
Derivadas x', y, f', f  x', y'', f', f''
Subrayado, línea superior, vectores \hat a \ \bar b \ \vec c  \hat a \ \bar b \ \vec c
\overrightarrow {a b} \overleftarrow {c d} \widehat {d e f}  \overrightarrow {a b} \overleftarrow {c d} \widehat {d e f}
\overline {g h i} \underline {j k l}  \overline {g h i} \underline {j k l}
Flechas A \xleftarrow {n+ \mu-1} B \xrightarrow[T] {n \pm i-1} C  A \xleftarrow {n+ \mu-1} B \xrightarrow[T] {n \pm i-1} C
Llaves superiores \overbrace{ 1+2+ \cdots+100 } ^ {5050}  \overbrace{ 1+2+ \cdots+100 } ^ {5050}
Llaves inferiores \underbrace { a+b+ \cdots+z }_{26}  \underbrace { a+b+ \cdots+z }_{26}
Sumatorios \sum_{k=1}^N k^2  \sum_{k=1}^N k^2
Productorio \prod_{i=1}^N x_i  \prod_{i=1}^N x_i
Coproducto \coprod_{i=1}^N x_i  \coprod_{i=1}^N x_i
Límite \lim_{n \to \infty}x_n  \lim_{n \to \infty}x_n
Integral \int_{-N}^{N} e^x\, dx \int_{-N}^{N} e^x\, dx
Integral doble \iint_{D}^{W} \, dx\,dy  \iint_{D}^{W} \, dx\,dy
Integral triple \iiint_{E}^{V} \, dx\,dy\,dz  \iiint_{E}^{V} \, dx\,dy\,dz
Integral de línea \oint_{C} x^3\, dx + 4y^2\, dy  \oint_{C} x^3\, dx + 4y^2\, dy
Intersecciones \bigcap_1^{n} p  \bigcap_1^{n} p
Uniones \bigcup_1^{k} p  \bigcup_1^{k} p

Fracciones, matrices, multilíneas

  Sintaxis Cómo se verá
Fracciones \frac{2}{4}=0.5 \frac{2}{4}=0.5
Coeficiente binomial \binom{n}{k} \binom{n}{k}
Matrices \begin{matrix}
x & y \\
z & v
\end{matrix}
 \begin{matrix} x & y \\ z & v \end{matrix}
\begin{vmatrix}
x & y \\
z & v
\end{vmatrix}
 \begin{vmatrix} x & y \\ z & v \end{vmatrix}
\begin{Vmatrix
x & y \\
z & v
\end{Vmatrix}
 \begin{Vmatrix} x & y \\ z & v \end{Vmatrix}
\begin{bmatrix}
0 & \cdots & 0 \\
\vdots & \ddots & \vdots \\
0 & \cdots & 0
\end{bmatrix}
 \begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix}
\begin{Bmatrix}
x & y \\
z & v
\end{Bmatrix}
 \begin{Bmatrix} x & y \\ z & v \end{Bmatrix}
\begin{pmatrix}
x & y \\
z & v
\end{pmatrix}
 \begin{pmatrix} x & y \\ z & v \end{pmatrix}
\bigl( \begin{smallmatrix}
a&b\\ c&d
\end{smallmatrix} \bigr)
 \bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)
Distinción de casos f(n) =
\begin{cases}
n/2, & \mbox{if }n\mbox{ is even} \\
3n+1, & \mbox{if }n\mbox{ is odd}
\end{cases}
 f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}
Ecuaciones multilínea (se debe definir el número de columnas con {lcl}) \begin{array}{lcl}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array}
 \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}
\begin{array}{lclcl}
z & = & a & = & \sqrt 2\\
f(x,y,z) & = & x + y + z & = & t^2\\
f(z) & = & x+y & = & 2 \pi
\end{array}
 \begin{array}{lclcl}   z        & = & a & = & \sqrt 2\\  f(x,y,z) & = & x + y + z & = & t^2\\ f(z) & = & x+y & = & 2 \pi \end{array}
Romper largas expresiones para hacer más legible el código <math>f(x) \,\!</math>
<math>= \sum_{n=0}^\infty a_n x^n </math>
<math>= a_0+a_1x+a_2x^2+\cdots</math>

 f(x) \,\!  = \sum_{n=0}^ \infty a_n x^n  = a_0+a_1x+a_2x^2+ \cdots

Ecuaciones simultáneas \begin{cases}
3x + 5y + z \\
7x - 2y + 4z \\
-6x + 3y + 2z
\end{cases}
 \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}

Alfabetos

Alfabeto griego
\Delta \Theta \Lambda  \Delta \Theta \Lambda
\Xi \Pi \Sigma \Xi \Pi \Sigma
\Upsilon \Phi \Psi \Omega  \Upsilon \Phi \Psi \Omega
\alpha \beta \gamma \delta \epsilon \zeta  \alpha \beta \gamma \delta \epsilon \zeta
\eta \theta \iota \kappa \lambda \mu  \eta \theta \iota \kappa \lambda \mu
\nu \xi \pi \rho \sigma \tau  \nu \xi \pi \rho \sigma \tau
\upsilon \phi \chi \psi \omega  \upsilon \phi \chi \psi \omega
\varepsilon \digamma \vartheta \varkappa  \varepsilon \digamma \vartheta \varkappa
\varpi \varrho \varsigma \varphi  \varpi \varrho \varsigma \varphi

Añadiendo paréntesis a grandes expresiones

  Sintaxis Cómo se verá
Mal ( \frac{1}{2} )  ( \frac{1}{2} )
Bien \left ( \frac{1}{2} \right )  \left ( \frac{1} {2} \right )
  Sintaxis Cómo se verá
Paréntesis \left ( \frac{a}{b} \right )  \left ( \frac{a}{b} \right )
Corchetes \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack  \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack
Llaves \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace  \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
Barras y dobles barras \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|  \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|
Barras invertidas \left / \frac{a}{b} \right \backslash  \left / \frac{a}{b} \right \backslash
Flechas arriba y abajo \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow  \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow
Los delimitadores pueden mezclarse \left [ 0,1 \right )  \left [ 0,1 \right )
Usa \left. y \right. si no quieres que un delimitador aparezca \left . \frac{A}{B} \right \} \to X  \left . \frac{A}{B} \right \} \to X
Tamaño de los delimitadores \big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]  \big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]
\big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle  \big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle
\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow  \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow
\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow ... \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow  \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow ... \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow
\big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash  \big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash

Espaciado

Nota: TeX elimina los espacios automáticamente, pero puedes controlarlos manualmente.

  Sintaxis Cómo se verá
Espacio en blanco a\ b  a\ b

Ejemplos

Polinomio cuadrático ax^2 + bx + c = 0\,\!  ax^2 + bx + c = 0\,\!
Fórmula cuadrática x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}  x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
Paréntesis altos y fracciones 2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)  2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)
S_{new} = S_{old} + \frac{ \left( 5-T \right) ^2} {2}  S_{new} = S_{old} + \frac{ \left( 5-T \right) ^2} {2}
Integrales \int_a^x \,dy = \int_a^x f(y)  \int_a^x \,dy = \int_a^x f(y)
Sumatorios \sum_{n=1}^\infty\frac{m^2\,n}{3^m}  \sum_{n=1}^\infty\frac{m^2\,n}{3^m}
Ecuaciones diferenciales u + p(x)u' = f(x),\quad x>a  u'' + p(x)u' = f(x),\quad x>a
Límites \lim_{z\rightarrow z_0} f(z)=f(z_0)  \lim_{z\rightarrow z_0} f(z)=f(z_0)
Casos f(x) = \begin{cases}
1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2 & 0 < x\le 1
\end{cases}
 f(x) = \begin {cases}
1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2 & 0 < x\le 1
</p>
\end {cases}

Para más información visita la ayuda de TeX en Wikipedia

   
 
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