New in 6.0: Mathematical Functions (Mathematica Guide)

Integral Transforms (Mathematica Guide)

Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...

Recurrence and Sum Functions (Mathematica Guide)

Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...

NumberFieldClassNumber (Built-in Mathematica Symbol)

NumberFieldClassNumber[\[Theta]] gives the class number for the algebraic number field \[DoubleStruckCapitalQ][\[Theta]] generated by \[Theta].

PositiveDefiniteMatrixQ (Built-in Mathematica Symbol)

PositiveDefiniteMatrixQ[m] tests whether m is a positive definite matrix.

MaxExtraConditions (Built-in Mathematica Symbol)

MaxExtraConditions is an option to Solve and related functions that specifies how many extra equational conditions on continuous parameters to allow in solutions that are ...

Decompose (Built-in Mathematica Symbol)

Decompose[poly, x] decomposes a polynomial, if possible, into a composition of simpler polynomials.

Higher-Order Euler and Legendre ... (Mathematica Tutorial)

An Euler equation is an ODE of the form The following is an example of an Euler equation. The Legendre linear equation is a generalization of the Euler equation. It has the ...

FindIntegerNullVector (Built-in Mathematica Symbol)

FindIntegerNullVector[{x_1, x_2, ..., x_n}] finds a list of integers a_i such that a_1 x_1 + a_2 x_2 + \[CenterEllipsis] + a_n x_n == 0. FindIntegerNullVector[{x_1, x_2, ..., ...

Boolean Computation (Mathematica Guide)

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