Algebraic Operations on Polynomials (Mathematica Tutorial)

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

BetaRegularized (Built-in Mathematica Symbol)

BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

Data Transforms and Smoothing (Mathematica Guide)

Directly integrated into Mathematica's uniform architecture for handling lists of data is an array of highly optimized algorithms for transforming and smoothing datasets that ...

NSolve (Built-in Mathematica Symbol)

NSolve[expr, vars] attempts to find numerical approximations to the solutions of the system expr of equations or inequalities for the variables vars. NSolve[expr, vars, ...

EllipticNomeQ (Built-in Mathematica Symbol)

EllipticNomeQ[m] gives the nome q corresponding to the parameter m in an elliptic function.

Computer Arithmetic Package (Computer Arithmetic Package Tutorial)

The arithmetic used by Mathematica is a mixture of variable-precision software arithmetic and whatever is provided by the manufacturer of the floating-point hardware (or the ...

Elements of Lists (Mathematica Guide)

Mathematica provides a carefully chosen set of functions for accessing elements of lists either using indices or positions, or using patterns or criteria for their values.

Linear Systems (Mathematica Guide)

Mathematica incorporates the latest algorithms for solving industrial-scale linear systems, automatically switching between optimal dense and sparse algorithms—and handling ...

List Manipulation (Mathematica Guide)

Lists are central constructs in Mathematica, used to represent collections, arrays, sets, and sequences of all kinds. Lists can have any structure and size, and can routinely ...