Tanh[z] gives the hyperbolic tangent of z.

f' represents the derivative of a function f of one argument. Derivative[n_1, n_2, ...][f] is the general form, representing a function obtained from f by differentiating n_1 ...

RevolutionPlot3D[f_z, {t, t_min, t_max}] generates a plot of the surface of revolution with height f_z at radius t.RevolutionPlot3D[f_z, {t, t_min, t_max}, {\[Theta], ...

ArcCsch[z] gives the inverse hyperbolic cosecant csch -1 (z) of the complex number z.

ArcSech[z] gives the inverse hyperbolic secant sech -1 (z) of the complex number z.

Depth[expr] gives the maximum number of indices needed to specify any part of expr, plus 1.

LeafCount[expr] gives the total number of indivisible subexpressions in expr.

A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...

Mathematica's symbolic timing framework allows timing information not only to be analyzed but also to be used in the structure of algorithms. Mathematica provides functions ...

Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g.Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...