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author | Florian Merz <me@fiji-flo.de> | 2021-02-11 14:46:50 +0100 |
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committer | Florian Merz <me@fiji-flo.de> | 2021-02-11 14:46:50 +0100 |
commit | a55b575e8089ee6cab7c5c262a7e6db55d0e34d6 (patch) | |
tree | 5032e6779a402a863654c9d65965073f09ea4182 /files/es/web/javascript/reference/global_objects/math/asinh | |
parent | 8260a606c143e6b55a467edf017a56bdcd6cba7e (diff) | |
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diff --git a/files/es/web/javascript/reference/global_objects/math/asinh/index.html b/files/es/web/javascript/reference/global_objects/math/asinh/index.html new file mode 100644 index 0000000000..9a3204a6a8 --- /dev/null +++ b/files/es/web/javascript/reference/global_objects/math/asinh/index.html @@ -0,0 +1,90 @@ +--- +title: Math.asinh() +slug: Web/JavaScript/Referencia/Objetos_globales/Math/asinh +translation_of: Web/JavaScript/Reference/Global_Objects/Math/asinh +--- +<div>{{JSRef}}</div> + +<p>La función <strong><code>Math.asinh()</code></strong> retorna el arcoseno hyperbólico de un número, es decir</p> + +<p><math display="block"><semantics><mrow><mstyle mathvariant="monospace"><mrow><mo lspace="0em" rspace="thinmathspace">Math.asinh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mstyle><mo>=</mo><mo lspace="0em" rspace="thinmathspace">arsinh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext> the unique </mtext><mspace width="thickmathspace"></mspace><mi>y</mi><mspace width="thickmathspace"></mspace><mtext>such that</mtext><mspace width="thickmathspace"></mspace><mo lspace="0em" rspace="0em">sinh</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mrow><annotation encoding="TeX">\mathtt{\operatorname{Math.asinh}(x)} = \operatorname{arsinh}(x) = \text{ the unique } \; y \; \text{such that} \; \sinh(y) = x</annotation></semantics></math></p> + +<h2 id="Sintáxis">Sintáxis</h2> + +<pre class="syntaxbox"><code>Math.asinh(<var>x</var>)</code></pre> + +<h3 id="Parámetros">Parámetros</h3> + +<dl> + <dt><code>x</code></dt> + <dd>Un número.</dd> +</dl> + +<h3 id="Valor_de_retorno">Valor de retorno</h3> + +<p>El arcoseno hyperbólico del número dado.</p> + +<h2 id="Descripción">Descripción</h2> + +<p>Debido a que <code>asinh()</code> es un método estático de <code>Math</code>, siempre hay que usarlo como <code>Math.asinh()</code>, en lugar de como un método del objeto <code>Math</code> que se hayamos creado (<code>Math</code> no es un constructor).</p> + +<h2 id="Ejemplos">Ejemplos</h2> + +<h3 id="Usos_de_Math.asinh()">Usos de <code>Math.asinh()</code></h3> + +<pre class="brush: js">Math.asinh(1); // 0.881373587019543 +Math.asinh(0); // 0 +</pre> + +<h2 id="Polyfill">Polyfill</h2> + +<p>As a quick and dirty hack the expression <math><semantics><mrow><mo lspace="0em" rspace="thinmathspace">arsinh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mo lspace="0em" rspace="0em">ln</mo><mrow><mo>(</mo><mrow><mi>x</mi><mo>+</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow></msqrt></mrow><mo>)</mo></mrow></mrow><annotation encoding="TeX">\operatorname {arsinh} (x) = \ln \left(x + \sqrt{x^{2} + 1} \right)</annotation></semantics></math> may be used directly for a coarse emulation by the following function:</p> + +<pre class="brush: js">Math.asinh = Math.asinh || function(x) { + if (x === -Infinity) { + return x; + } else { + return Math.log(x + Math.sqrt(x * x + 1)); + } +}; +</pre> + +<p>Been formally correct it suffers from a number of issues related to floating point computations. Accurate result requires special handling of positive/negative, small/large arguments as it done e.g. in <a href="https://sourceware.org/git/?p=glibc.git;a=blob;f=sysdeps/ieee754/dbl-64/s_asinh.c">glibc</a> or <a href="http://git.savannah.gnu.org/cgit/gsl.git/tree/sys/invhyp.c">GNU Scientific Library</a>.</p> + +<h2 id="Especificaciones">Especificaciones</h2> + +<table class="standard-table"> + <tbody> + <tr> + <th scope="col">Specification</th> + <th scope="col">Status</th> + <th scope="col">Comment</th> + </tr> + <tr> + <td>{{SpecName('ES6', '#sec-math.asinh', 'Math.asinh')}}</td> + <td>{{Spec2('ES6')}}</td> + <td>Initial definition.</td> + </tr> + <tr> + <td>{{SpecName('ESDraft', '#sec-math.asinh', 'Math.asinh')}}</td> + <td>{{Spec2('ESDraft')}}</td> + <td> </td> + </tr> + </tbody> +</table> + +<h2 id="Compatibilidades_de_buscadores">Compatibilidades de buscadores</h2> + +<p class="hidden">La tabla de compatibilidad en esta página se genera a partir de datos estructurados. Si desea contribuir con los datos, consulte <a href="https://github.com/mdn/browser-compat-data">https://github.com/mdn/browser-compat-data</a> y envíenos un pull request.</p> + +<p>{{Compat("javascript.builtins.Math.asinh")}}</p> + +<h2 id="See_also">See also</h2> + +<ul> + <li>{{jsxref("Math.acosh()")}}</li> + <li>{{jsxref("Math.atanh()")}}</li> + <li>{{jsxref("Math.cosh()")}}</li> + <li>{{jsxref("Math.sinh()")}}</li> + <li>{{jsxref("Math.tanh()")}}</li> +</ul> |