Basic Plotting (Mathematica Tutorial)

Basic plotting functions. This plots a graph of sin(x) as a function of x from 0 to 2π. You can plot functions that have singularities. Mathematica will try to choose ...

AlgebraicIntegerQ (Built-in Mathematica Symbol)

AlgebraicIntegerQ[a] yields True if a is an algebraic integer, and yields False otherwise.

RootApproximant (Built-in Mathematica Symbol)

RootApproximant[x] converts the number x to one of the "simplest" algebraic numbers that approximates it well.RootApproximant[x, n] finds an algebraic number of degree at ...

Analysis of Variance Package (ANOVA Package Guide)

Discriminant (Built-in Mathematica Symbol)

Discriminant[poly, var] computes the discriminant of the polynomial poly with respect to the variable var.Discriminant[poly, var, Modulus -> p] computes the discriminant ...

Numerical Differential Equation ... (Numerical Differential Equation Analysis Package Tutorial)

The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...

PowerExpand (Built-in Mathematica Symbol)

PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.

Assumptions and Domains (Mathematica Guide)

Mathematica has a flexible system for specifying arbitrary symbolic assumptions about variables. It uses a wide range of sophisticated algorithms to infer the consequences of ...

MatrixPower (Built-in Mathematica Symbol)

MatrixPower[m, n] gives the n\[Null]\[Null]^th matrix power of the matrix m. MatrixPower[m, n, v] gives the n\[Null]^th matrix power of the matrix m applied to the vector v.

Eliminating Variables (Mathematica Tutorial)

When you write down a set of simultaneous equations in Mathematica, you are specifying a collection of constraints between variables. When you use Solve, you are finding ...