Defining Functions (Mathematica Tutorial)

There are many functions that are built into Mathematica. This tutorial discusses how you can add your own simple functions to Mathematica. As a first example, consider ...

Functional Programming (Mathematica Guide)

Long viewed as an important theoretical idea, functional programming finally became truly convenient and practical with the introduction of Mathematica's symbolic language. ...

Functions and Programs (Mathematica Overview)

Defining Functions Functions as Procedures Manipulating Options

Function (Built-in Mathematica Symbol)

Function[body] or body & is a pure function. The formal parameters are # (or #1), #2, etc. Function[x, body] is a pure function with a single formal parameter x. ...

Algebraic Numbers (Mathematica Tutorial)

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

AlgebraicNumber (Built-in Mathematica Symbol)

AlgebraicNumber[\[Theta], {c_0, c_1, ..., c_n}] represents the algebraic number in the field \[DoubleStruckCapitalQ][\[Theta]] given by c_0 + c_1 \[Theta] + ... + c_n ...

AlgebraicNumberDenominator (Built-in Mathematica Symbol)

AlgebraicNumberDenominator[a] gives the smallest positive integer n such that n a is an algebraic integer.

AlgebraicNumberTrace (Built-in Mathematica Symbol)

AlgebraicNumberTrace[a] gives the trace of the algebraic number a.

Algebraic Transformations (Mathematica Guide)

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

AlgebraicNumberPolynomial (Built-in Mathematica Symbol)

AlgebraicNumberPolynomial[a, x] gives the polynomial in x corresponding to the AlgebraicNumber object a.