Building on its core symbolic architecture, Mathematica gives immediate access to the latest in industrial-strength Boolean computation. With highly general symbolic ...

Mathematica works with both exact quantities and approximate numbers. Using N , you can obtain a numerical approximation to an exact quantity with any desired precision or ...

AiryAiPrime[z] gives the derivative of the Airy function Ai^\[Prime] (z).

Finding singular values and norms of matrices. The singular values of a matrix m are the square roots of the eigenvalues of m.m^*, where * denotes Hermitian transpose. The ...

In many computations you are concerned only with the final result of evaluating the expression given as input. But sometimes you also want to collect expressions that were ...

An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...

$SharedVariables is the list of variables currently being shared among parallel kernels.

Applying transformation rules. The replacement operator /. (pronounced "slash-dot") applies rules to expressions. You can give a list of rules to apply. Each rule will be ...

Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...

JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).