Maximize[f, x] maximizes f with respect to x.Maximize[f, {x, y, ...}] maximizes f with respect to x, y, .... Maximize[{f, cons}, {x, y, ...}] maximizes f subject to the ...

An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...

TransferFunctionPoles[tf] gives a matrix of roots of the denominators in the TransferFunctionModel object tf.

Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...

BSplineCurve[{pt_1, pt_2, ...}] is a graphics primitive that represents a non-uniform rational B-spline curve with control points pt_i.

Mathematica uses a large number of original algorithms to provide automatic systemwide support for inequalities and inequality constraints. Whereas equations can often be ...

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...

ZernikeR[n, m, r] gives the radial Zernike polynomial R_n^m(r).

With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...

LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).