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