CoprimeQ[n_1, n_2] yields True if n_1 and n_2 are relatively prime, and yields False otherwise. CoprimeQ[n_1, n_2, ...] yields True if all pairs of the n_i are relatively ...

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

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

In many kinds of calculations, you may find yourself typing the same input to Mathematica over and over again. You can save yourself a lot of typing by defining a function ...

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...

NDTFourierTransform[expr, n, \[Omega]] gives a numerical approximation to the discrete time Fourier transform of expr evaluated at the numerical value \[Omega], where expr is ...

Accuracy[x] gives the effective number of digits to the right of the decimal point in the number x.

Cases[{e_1, e_2, ...}, pattern] gives a list of the e_i that match the pattern. Cases[{e_1, ...}, pattern -> rhs] gives a list of the values of rhs corresponding to the e_i ...

Composition[f_1, f_2, f_3, ...] represents a composition of the functions f_1, f_2, f_3, ....

GraphPeriphery[g] gives the set of vertices with maximum eccentricity in the graph g.