Exponent[expr, form] gives the maximum power with which form appears in the expanded form of expr. Exponent[expr, form, h] applies h to the set of exponents with which form ...

LeastSquares[m, b] finds an x that solves the linear least-squares problem for the matrix equation m.x == b.

Annuity[p, t] represents an annuity of fixed payments p made over t periods.Annuity[p, t, q] represents a series of payments occurring at time intervals q.Annuity[{p, ...

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

ConditionalExpression[expr, cond] is a symbolic construct that represents the expression expr when the condition cond is True.

JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).

JacobiND[u, m] gives the Jacobi elliptic function nd(u | m).

JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...