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Ayuda:Fórmulas Matemáticas

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<h3>Básicos</h3>
<h3>Básicos</h3>
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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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<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><math> \check{a} \bar{a} \ddot{a} \dot{a} </math></td>
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</tr>
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<tr>
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<th colspan="2">Funciones estándar</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><math> \sin a \cos b \tan c </math></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><math> \sec d \csc e \cot f </math></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><math> \arcsin h \arccos i \arctan j </math></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><math> \sinh k \cosh l \tanh m \coth n </math></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><math> \lim u \limsup v \liminf w \min x \max y </math></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><math> \inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g </math></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><math> \nabla \partial x dx \dot x \ddot y </math></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 \emptyset \varnothing</code></td>
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<td><math> \forall \exists \emptyset \varnothing </math></td>
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</tr>
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<tr>
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<td><code>\in \ni \notin \subset \subseteq \supset \supseteq</code></td>
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<td><math> \in \ni \notin \subset \subseteq \supset \supseteq </math></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><math> \cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus </math></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><math> \sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup </math></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><math> + \oplus \bigoplus \pm \mp - </math></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><math> \times \otimes \bigotimes \cdot \circ \bullet \bigodot </math></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><math> \star * / \div \frac{1}{2} </math></td>
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</tr>
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<tr>
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<th colspan="2">Lógica</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><math> \land \wedge \bigwedge \bar{q} \to p </math></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><math> \lor \vee \bigvee \lnot \neg q \And </math></td>
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</tr>
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<tr>
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<th colspan="2">Raíces</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><math> \sqrt{2} \sqrt[n]{x} </math></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</code></td>
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<td><math> \sim \approx \simeq \cong </math></td>
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</tr>
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<tr>
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<td><code>\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto</code></td>
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<td><math> \le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto </math></td>
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</tr>
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<tr>
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<th colspan="2">Geometría</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><math> \Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ </math></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><math> \leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow </math></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><math> \uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft </math></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><math> \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow </math></td>
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</tr>
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<tr>
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<td><code>\Longrightarrow \Uparrow \Downarrow \Updownarrow</code></td>
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<td><math> \Longrightarrow \Uparrow \Downarrow \Updownarrow </math></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><math> \nLeftrightarrow \longleftrightarrow </math></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><math> \eth \S \P \% \dagger \ddagger \ldots \cdots </math></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><math> \smile \frown \wr \triangleleft \triangleright \infty \bot \top </math></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><math> \vdash \vDash \Vdash \models \lVert \rVert \imath \hbar </math></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><math> \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown </math></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><math> \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge </math></td>
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</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><math> \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes </math></td>
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</tr>
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<tr>
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<td><code>\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</code></td>
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<td><math> \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant </math></td>
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</tr>
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<tr>
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<td><code>\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot</code></td>
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<td><math> \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot </math></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 </code></td>
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<td><math> \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox </math></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><math> \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot </math></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><math> \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq </math></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><math> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork </math></td>
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</tr>
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<tr>
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<td><code>\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</code></td>
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<td><math> \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq </math></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><math> \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid </math></td>
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</tr>
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<tr>
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<td><code>\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \ngtr</code></td>
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<td><math> \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \ngtr </math></td>
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</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><math> \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq </math></td>
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</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><math> \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq </math></td>
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</tr>
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<tr>
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<td><code>\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</code></td>
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<td><math> \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq </math></td>
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</tr>
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</table>
<h3>Subíndices, superíndices, integrales</h3>
<h3>Subíndices, superíndices, integrales</h3>

Revisión de 11:55 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.

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

Fracciones, matrices, multilíneas

Alfabetos

Añadiendo paréntesis a grandes expresiones

Espaciado

Colores

Ejemplos

actualizando

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