“hyperbolic functions”的概念、定义、翻译、参考文献-科学参考

hyperbolic functions

Physics

单词	hyperbolic functions
释义	hyperbolic functions Physics A set of functions, sinh, cosh, and tanh, that have similar properties to trigonometric functions but are related to the hyperbola in the manner that trigonometric functions are related to the circle. The hyperbolic sine (sinh) of the angle x is defined by: $sinh x = ½ (e^{x} - e^{- x})$ Similarly, $\begin{array}{l} cosh x = {½ (e^{x} + e}^{- x}) \\ tanh x = {(e}^{x} {- e}^{- x} {) / (e}^{x} {+ e}^{- x}) \end{array}$ Hyperbolic secant (sech), cosecant (cosech), and cotangent (coth) are the reciprocals of cosh, sinh, and tanh, respectively.
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