Wronskian (Built-in Mathematica Symbol)

Wronskian[{y_1, y_2, ...}, x] gives the Wronskian determinant for the functions y_1, y_2, ... depending on x.Wronskian[eqn, y, x] gives the Wronskian determinant for the ...

Multiplicative Number Theory (Mathematica Guide)

Building on its broad strengths in mathematics in general, and in special functions in particular, Mathematica provides a unique level of support for multiplicative number ...

Number Recognition (Mathematica Guide)

A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...

Putting Constraints on Patterns (Mathematica Tutorial)

Mathematica provides a general mechanism for specifying constraints on patterns. All you need to do is to put /;condition at the end of a pattern to signify that it applies ...

Integer Sequences (Mathematica Guide)

The symbolic character of Mathematica makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and ...

Casoratian (Built-in Mathematica Symbol)

Casoratian[{y_1, y_2, ...}, n] gives the Casoratian determinant for the sequences y_1, y_2, ... depending on n.Casoratian[eqn, y, n] gives the Casoratian determinant for the ...

Matrix Decompositions (Mathematica Guide)

TrigReduce (Built-in Mathematica Symbol)

TrigReduce[expr] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.

Eigenvalues and Eigenvectors (Mathematica Tutorial)

Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...

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 ...