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fix equation
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jasonren0403 authored Dec 20, 2024
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Expand Up @@ -9,9 +9,11 @@ l10n:

**`Math.atanh()`** 靜態方法返回一個數字的反雙曲正切值,也就是說,

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<math display="block">
<semantics><mtable columnalign="right left right left right left right left right left" columnspacing="0em" displaystyle="true"><mtr><mtd><mo>∀</mo><mi>x</mi><mo>∊</mo><mo stretchy="false">(</mo><mrow><mo>−</mo><mn>1</mn></mrow><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo><mo>,</mo><mspace width="0.2777777777777778em"></mspace><mrow><mo lspace="0em" rspace="0.16666666666666666em">𝙼𝚊𝚝𝚑.𝚊𝚝𝚊𝚗𝚑</mo><mo stretchy="false">(</mo><mi>𝚡</mi><mo stretchy="false">)</mo></mrow></mtd><mtd><mo>=</mo><mo lspace="0em" rspace="0.16666666666666666em">artanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext>the unique&nbsp;</mtext><mi>y</mi><mtext>&nbsp;such that&nbsp;</mtext><mo lspace="0em" rspace="0em">tanh</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mspace width="0.16666666666666666em"></mspace><mo lspace="0em" rspace="0em">ln</mo><mrow><mo>(</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mi>x</mi></mrow><mrow><mn>1</mn><mo>−</mo><mi>x</mi></mrow></mfrac><mo>)</mo></mrow></mtd></mtr></mtable><annotation encoding="TeX">\begin{aligned}\forall x \in ({-1}, 1),\;\mathtt{\operatorname{Math.atanh}(x)} &= \operatorname{artanh}(x) = \text{the unique } y \text{ such that } \tanh(y) = x \\&= \frac{1}{2}\,\ln\left(\frac{1+x}{1-x}\right)\end{aligned}</annotation></semantics>
</math>
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{{EmbedInteractiveExample("pages/js/math-atanh.html")}}

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