Difference between revisions of "Tanh"
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m (Tom moved page Hyperbolic tangent to Tanh) |
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+ | The hyperbolic tangent is defined by the formula | ||
+ | $$\mathrm{tanh}(z)=\dfrac{\mathrm{sinh}(z)}{\mathrm{cosh}(z)},$$ | ||
+ | where $\mathrm{sinh}$ is the [[sinh|hyperbolic sine]] and $\mathrm{cosh}$ is the [[cosh|hyperbolic cosine]]. | ||
[[File:Complex Tanh.jpg|500px]] | [[File:Complex Tanh.jpg|500px]] |
Revision as of 06:26, 19 January 2015
The hyperbolic tangent is defined by the formula $$\mathrm{tanh}(z)=\dfrac{\mathrm{sinh}(z)}{\mathrm{cosh}(z)},$$ where $\mathrm{sinh}$ is the hyperbolic sine and $\mathrm{cosh}$ is the hyperbolic cosine. 500px