Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled.

GenericCylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds the full-dimensional part of the decomposition of the region represented by the inequalities ineqs into ...

Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.

DirichletTransform[expr, n, s] gives the Dirichlet transform of expr with respect to n.

Hyperfactorial[n] gives the hyperfactorial function H(n).

QGamma[z, q] gives the q-gamma function \[CapitalGamma]_q (z).

The single command Manipulate lets you create an astonishing range of interactive applications with just a few lines of input. Manipulate is designed to be used by anyone who ...

Constant is an attribute that indicates zero derivative of a symbol with respect to all parameters.