MathieuCPrime[a, q, z] gives the derivative with respect to z of the even Mathieu function with characteristic value a and parameter q.

RadicalBox[x, n] is a low-level box construct that represents the displayed object Power[x, (n)^-1] in notebook expressions.

One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...

Unitize[x] gives 0 when x is zero, and 1 when x has any other numerical value.

The Mathematica system provides a convenient way to call functions in external C and other programs. With a .tm template specifying Mathematica functions corresponding to ...

ArcCosh[z] gives the inverse hyperbolic cosine cosh -1 (z) of the complex number z.

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

MathLink is a protocol for exchanging symbolic expressions. The Mathematica-level MathLink functions can be used with any MathLink-enabled external program, including ...

Tanh[z] gives the hyperbolic tangent of z.

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...