In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle …

6 days ago · By way of analogy with the usual tangent. the hyperbolic tangent is defined as. where is the hyperbolic sine and is the hyperbolic cosine. The notation is sometimes also used …

Plot the hyperbolic tangent function over the domain −5 ≤ x ≤ 5. Input angles in radians, specified as a scalar, vector, matrix, multidimensional array, table, or timetable. The hyperbolic tangent …

在 数学 中， 双曲函数 是一类与常见的 三角函数 （也叫圆函数）类似的函数。 最基本的双曲函数是 雙曲正弦 函数 和 雙曲餘弦 函数 ，从它们可以导出 双曲正切 函数 等，其推导也类似于三 …

Here is a graphic of the hyperbolic tangent function for real values of its argument . The hyperbolic tangent function can be represented using more general mathematical functions.

Introduction to the Hyperbolic Tangent Function : Defining the hyperbolic tangent function : A quick look at the hyperbolic tangent function : Representation through more general functions

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Hyperbolic tangent is the hyperbolic sine over the hyperbolic cosine, or: \tanh (x)=\frac {\sinh (x)} {\cosh (x)}=\frac {e^ {x}-e^ {-x}} {e^ {x}+e^ {-x}} tanh(x) = cosh(x)sinh(x) = ex + e−xex − e−x. As …

The hyperbolic tangent of a sum can be represented by the rule: "the hyperbolic tangent of a sum is equal to the sum of the hyperbolic tangents divided by one plus the product of the hyperbolic …

Instead of the signed distance function, Olsson et al. [64,65] proposed to use the hyperbolic tangent function as the level set function. It is of second-order accuracy and satisfactory of …