Denominator[expr] gives the denominator of expr.

Numerator[expr] gives the numerator of expr.

PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.

TrigExpand[expr] expands out trigonometric functions in expr.

TrigFactor[expr] factors trigonometric functions in expr.

When you do symbolic calculations, it is quite easy to end up with extremely complicated expressions. Often, you will not even want to see the complete result of a ...

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

PaletteNotebook[{cell_1, cell_2, ...}] represents a palette notebook that can be manipulated by the Mathematica front end.

Coth[z] gives the hyperbolic cotangent of z.

Implicit Runge–Kutta methods have a number of desirable properties. The Gauss–Legendre methods, for example, are self-adjoint, meaning that they provide the same solution ...