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modified hyperbolic tangent : ウィキペディア英語版
modified hyperbolic tangent
The modified hyperbolic tangent (mtanh or mth) is a special S-shaped function based on the hyperbolic tangent, given by
:\operatornamex = \frac } }
This function was proposed by Elena Soboleva (of Ukraine) as a utility function for multi-objective optimization and choice modelling in decision-making.
In other papers it is used for approximation of current-voltage characteristics of field-effect transistors and light-emitting diodes.
With parameters ''a'' = ''b'' = ''c'' = ''d'' = ''1'' the modified hyperbolic tangent function reduces to the conventional tanh(''x'') function, whereas for ''a'' = ''b'' = ''1'' and ''c'' = ''d'' = ''0'', the term becomes equal to sinh(''x'').
==See also==

* e (mathematical constant)
* Equal incircles theorem, based on sinh
* Inverse hyperbolic functions
* List of integrals of hyperbolic functions
* Poinsot's spirals
* Sigmoid function

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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