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Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh [Î±] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via . Tanh may also be defined as , where is the base of the natural logarithm Log. Tanh automatically evaluates to exact values when its argument is the (natural) logarithm of a rational number.
Later personality researchers (notably Linda V. Berens) added four additional functions to the descending hierarchy, the so-called shadow functions to which the individual is not naturally inclined but which can emerge when the person is under stress. 1  For ESFJ these shadow functions are (in order): 1  Introverted feeling (Fi): Fi filters information based on interpretations of worth, forming judgments according to criteria that are often intangible. 2  Extraverted sensing (Se): Se focuses on the experiences and sensations of the immediate, physical world.