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Ayuda:Fórmulas Matemáticas

De Wikillerato

(Diferencias entre revisiones)
Línea 1: Línea 1:
<h2>Ayuda</h2>
<h2>Ayuda</h2>
<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>
<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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<tr>
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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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<th colspan="2">Acentos</th>
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<tr>
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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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<tr>
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<td><math>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</math></td>
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<td><code>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</code></td>
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</tr>
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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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<tr>
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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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<td><code>\check{a} \bar{a} \ddot{a} \dot{a}</code></td>
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</tr>
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<td><math> \check{a} \bar{a} \ddot{a} \dot{a} </math></td>
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<tr>
+
</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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<tr>
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<th colspan="2">Funciones estándar</th>
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<td><code>\sin a \cos b \tan c</code></td>
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</tr>
-
<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>\sin a \cos b \tan c</code></td>
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<tr>
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<td><math> \sin a \cos b \tan c </math></td>
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<td><code>\sec d \csc e \cot f</code></td>
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</tr>
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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>\sec d \csc e \cot f</code></td>
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<tr>
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<td><math> \sec d \csc e \cot f </math></td>
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<td><code>\arcsin h \arccos i \arctan j</code></td>
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</tr>
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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>\arcsin h \arccos i \arctan j</code></td>
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<tr>
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<td><math> \arcsin h \arccos i \arctan j </math></td>
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<td><code>\sinh k \cosh l \tanh m \coth n</code></td>
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</tr>
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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>\sinh k \cosh l \tanh m \coth n</code></td>
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<tr>
+
<td><math> \sinh k \cosh l \tanh m \coth n </math></td>
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<td><code>\lim u \limsup v \liminf w \min x \max y</code></td>
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</tr>
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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>\lim u \limsup v \liminf w \min x \max y</code></td>
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<tr>
+
<td><math> \lim u \limsup v \liminf w \min x \max y </math></td>
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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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</tr>
-
<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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<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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<tr>
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<td><math> \inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g </math></td>
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<th colspan="2">Derivadas</th>
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</tr>
-
</tr>
+
 
-
<tr>
+
<tr>
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<td><code>\nabla \partial x dx \dot x \ddot y</code></td>
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<th colspan="2">Derivadas</th>
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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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<tr>
-
<tr>
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<td><code>\nabla \partial x dx \dot x \ddot y</code></td>
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<th colspan="2">Conjuntos</th>
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<td><math> \nabla \partial x dx \dot x \ddot y </math></td>
-
</tr>
+
</tr>
-
<tr>
+
 
-
<td><code>\forall \exists \empty \emptyset \varnothing</code></td>
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<tr>
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<td><img class="tex" alt="\forall \exists \empty \emptyset \varnothing\,\!" src="img/010.png"></td>
+
<th colspan="2">Conjuntos</th>
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</tr>
+
</tr>
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<tr>
+
<tr>
-
<td><code>\in \ni \not \in \notin \subset \subseteq \supset \supseteq</code></td>
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<td><code>\forall \exists \empty \emptyset \varnothing</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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<td><math> \forall \exists \empty \emptyset \varnothing </math></td>
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</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus</code></td>
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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="\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,\!" src="img/012.png"></td>
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<td><math> \in \ni \not \in \notin \subset \subseteq \supset \supseteq </math></td>
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</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup</code></td>
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<td><code>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus</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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<td><math> \cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus </math></td>
-
</tr>
+
</tr>
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<tr>
+
<tr>
-
<th colspan="2">Operadores</th>
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<td><code>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup</code></td>
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</tr>
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<td><math> \sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup </math></td>
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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>
-
</tr>
+
<th colspan="2">Operadores</th>
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<tr>
+
</tr>
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<td><code>\times \otimes \bigotimes \cdot \circ \bullet \bigodot</code></td>
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<tr>
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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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<td><code>+ \oplus \bigoplus \pm \mp -</code></td>
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</tr>
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<td><math> + \oplus \bigoplus \pm \mp - </math></td>
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<tr>
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</tr>
-
<td><code>\star * / \div \frac{1}{2}</code></td>
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<tr>
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<td><img class="tex" alt="\star * / \div \frac{1}{2}\,\!" src="img/016.png"></td>
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<td><code>\times \otimes \bigotimes \cdot \circ \bullet \bigodot</code></td>
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</tr>
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<td><math> \times \otimes \bigotimes \cdot \circ \bullet \bigodot </math></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>\star * / \div \frac{1}{2}</code></td>
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<tr>
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<td><math> \star * / \div \frac{1}{2} </math></td>
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<td><code>\land \wedge \bigwedge \bar{q} \to p</code></td>
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</tr>
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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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<tr>
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<th colspan="2">Lógica</th>
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<td><code>\lor \vee \bigvee \lnot \neg q \And</code></td>
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</tr>
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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>
-
</tr>
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<td><code>\land \wedge \bigwedge \bar{q} \to p</code></td>
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<tr>
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<td><math> \land \wedge \bigwedge \bar{q} \to p </math></td>
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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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<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><code>\sqrt{2} \sqrt[n]{x}</code></td>
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<td><math> \lor \vee \bigvee \lnot \neg q \And </math></td>
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<td><img class="tex" alt="\sqrt{2} \sqrt[n]{x}\,\!" src="img/019.png"></td>
+
</tr>
-
</tr>
+
 
-
<tr>
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<tr>
-
<th colspan="2">Relaciones</th>
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<th colspan="2">Raíces</th>
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</tr>
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</tr>
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<tr>
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<tr>
-
<td><code>\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}</code></td>
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<td><code>\sqrt{2} \sqrt[n]{x}</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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<td><math> \sqrt{2} \sqrt[n]{x} </math></td>
-
</tr>
+
</tr>
-
<tr>
+
 
-
<td><code>\le &lt; \ll \gg \ge &gt; \equiv \not\equiv \ne \mbox{or} \neq \propto</code></td>
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<tr>
-
<td><img class="tex" alt="\le &lt; \ll \gg \ge &gt; \equiv \not\equiv \ne \mbox{or} \neq \propto\,\!" src="img/021.png"></td>
+
<th colspan="2">Relaciones</th>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<th colspan="2">Geometr&iacute;a</th>
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<td><code>\sim \approx \simeq \cong</code></td>
-
</tr>
+
<td><math> \sim \approx \simeq \cong </math></td>
-
<tr>
+
</tr>
-
<td><code>\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ</code></td>
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<tr>
-
<td><img class="tex" alt="\Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \| 45^\circ\,\!" src="img/022.png"></td>
+
<td><code>\le \ll \gg \ge \equiv \not\equiv \ne \mbox{or} \neq \propto</code></td>
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</tr>
+
<td><math> \le \ll \gg \ge \equiv \not\equiv \ne \mbox{or} \neq \propto </math></td>
-
<tr>
+
</tr>
-
<th colspan="2">Flechas</th>
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-
</tr>
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<tr>
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<tr>
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<th colspan="2">Geometría</th>
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<td><code>\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow</code></td>
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</tr>
-
<td><img class="tex" alt="\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow\,\!" src="img/023.png"></td>
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<tr>
-
</tr>
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<td><code>\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ</code></td>
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<tr>
+
<td><math> \Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ </math></td>
-
<td><code>\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft</code></td>
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</tr>
-
<td><img class="tex" alt="\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft\,\!" src="img/024.png"></td>
+
 
-
</tr>
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<tr>
-
<tr>
+
<th colspan="2">Flechas</th>
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<td><code>\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow</code></td>
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</tr>
-
<td><img class="tex" alt="\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow\,\!" src="img/025.png"></td>
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<tr>
-
</tr>
+
<td><code>\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow</code></td>
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<tr>
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<td><math> \leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow </math></td>
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<td><code>\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft</code></td>
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</tr>
-
<td><img class="tex" alt="\Longrightarrow \Longleftrightarrow \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,\!" src="img/026.png"></td>
+
<tr>
-
</tr>
+
<td><code>\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft</code></td>
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<tr>
+
<td><math> \uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft </math></td>
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<td><code>\nLeftrightarrow \longleftrightarrow</code></td>
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</tr>
-
<td><img class="tex" alt="\nLeftrightarrow \longleftrightarrow\,\!" src="img/027.png"></td>
+
<tr>
-
</tr>
+
<td><code>\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow</code></td>
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<tr>
+
<td><math> \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow </math></td>
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<th colspan="2">Especial</th>
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</tr>
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</tr>
+
<tr>
-
<tr>
+
<td><code>\Longrightarrow \Uparrow \Downarrow \Updownarrow</code></td>
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<td><code>\eth \S \P \% \dagger \ddagger \ldots \cdots</code></td>
+
<td><math> \Longrightarrow \Uparrow \Downarrow \Updownarrow </math></td>
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<td><img class="tex" alt="\eth \S \P \% \dagger \ddagger \ldots \cdots\,\!" src="img/028.png"></td>
+
</tr>
-
</tr>
+
<tr>
-
<tr>
+
<td><code>\nLeftrightarrow \longleftrightarrow</code></td>
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<td><code>\smile \frown \wr \triangleleft \triangleright \infty \bot \top</code></td>
+
<td><math> \nLeftrightarrow \longleftrightarrow </math></td>
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<td><img class="tex" alt="\smile \frown \wr \triangleleft \triangleright \infty \bot \top\,\!" src="img/029.png"></td>
+
</tr>
-
</tr>
+
 
-
<tr>
+
<tr>
-
<td><code>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar</code></td>
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<th colspan="2">Especial</th>
-
<td><img class="tex" alt="\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,\!" src="img/030.png"></td>
+
</tr>
-
</tr>
+
<tr>
-
<tr>
+
<td><code>\eth \S \P \% \dagger \ddagger \ldots \cdots</code></td>
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<th colspan="2">Otros</th>
+
<td><math> \eth \S \P \% \dagger \ddagger \ldots \cdots </math></td>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</code></td>
+
<td><code>\smile \frown \wr \triangleleft \triangleright \infty \bot \top</code></td>
-
<td><img class="tex" alt=" \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown" src="img/031.png"></td>
+
<td><math> \smile \frown \wr \triangleleft \triangleright \infty \bot \top </math></td>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge</code></td>
+
<td><code>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar</code></td>
-
<td><img class="tex" alt=" \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge" src="img/032.png"></td>
+
<td><math> \vdash \vDash \Vdash \models \lVert \rVert \imath \hbar </math></td>
-
</tr>
+
</tr>
-
<tr>
+
 
-
<td><code>\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</code></td>
+
<tr>
-
<td><img class="tex" alt=" \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes" src="img/033.png"></td>
+
<th colspan="2">Otros</th>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</code></td>
+
<td><code>\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</code></td>
-
<td><img class="tex" alt=" \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant" src="img/034.png"></td>
+
<td><math> \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown </math></td>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq</code></td>
+
<td><code>\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge</code></td>
-
<td><img class="tex" alt=" \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq" src="img/035.png"></td>
+
<td><math> \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge </math></td>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft</code></td>
+
<td><code>\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</code></td>
-
<td><img class="tex" alt=" \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft" src="img/036.png"></td>
+
<td><math> \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes </math></td>
-
</tr>
+
</tr>
-
<tr>
+
<tr>
-
<td><code>\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</code></td>
+
<td><code>\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</code></td>
-
<td><img class="tex" alt=" \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot" src="img/037.png"></td>
+
<td><math> \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant </math></td>
-
</tr>
+
</tr>
-
<tr>
+
 
-
<td><code>\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</code></td>
+
<tr>
-
<td><img class="tex" alt=" \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq" src="img/038.png"></td>
+
<td><code>\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot</code></td>
-
</tr>
+
<td><math> \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot </math></td>
-
<tr>
+
</tr>
-
<td><code>\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</code></td>
+
<tr>
-
<td><img class="tex" alt=" \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork" src="img/039.png"></td>
+
<td><code>\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox </code></td>
-
</tr>
+
<td><math> \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox </math></td>
-
<tr>
+
</tr>
-
<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>
+
<tr>
-
</tr>
+
<td><code>\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</code></td>
-
<tr>
+
<td><math> \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot </math></td>
-
<td><code>\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</code></td>
+
</tr>
-
<td><img class="tex" alt=" \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid" src="img/041.png"></td>
+
<tr>
-
</tr>
+
<td><code>\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</code></td>
-
<tr>
+
<td><math> \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq </math></td>
-
<td><code>\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr</code></td>
+
</tr>
-
<td><img class="tex" alt=" \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr" src="img/042.png"></td>
+
<tr>
-
</tr>
+
<td><code>\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</code></td>
-
<tr>
+
<td><math> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork </math></td>
-
<td><code>\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</code></td>
+
</tr>
-
<td><img class="tex" alt=" \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq" src="img/043.png"></td>
+
<tr>
-
</tr>
+
<td><code>\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</code></td>
-
<tr>
+
<td><math> \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq </math></td>
-
<td><code>\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</code></td>
+
</tr>
-
<td><img class="tex" alt=" \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq" src="img/044.png"></td>
+
<tr>
-
</tr>
+
<td><code>\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</code></td>
-
<tr>
+
<td><math> \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid </math></td>
-
<td><code>\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</code></td>
+
</tr>
-
<td><img class="tex" alt=" \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq" src="img/045.png"></td>
+
<tr>
-
</tr>
+
<td><code>\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr</code></td>
-
<tr>
+
<td><math> \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr </math></td>
-
<td><code>\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus</code></td>
+
</tr>
-
<td><img class="tex" alt="\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,\!" src="img/046.png"></td>
+
<tr>
-
</tr>
+
<td><code>\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</code></td>
-
<tr>
+
<td><math> \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq </math></td>
-
<td><code>\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq</code></td>
+
</tr>
-
<td><img class="tex" alt="\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,\!" src="img/047.png"></td>
+
<tr>
-
</tr>
+
<td><code>\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</code></td>
-
</table>
+
<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>
<math>actualizando</math>
<math>actualizando</math>

Revisión de 10:01 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} \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 \empty \emptyset \varnothing  \forall \exists \empty \emptyset \varnothing
\in \ni \not \in \notin \subset \subseteq \supset \supseteq  \in \ni \not \in \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 \varsubsetneq \subsetneqq \varsubsetneqq \ngtr  \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \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

actualizando

   
 
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