GainPhaseMargins[sys] gives the gain and phase margins of the linear time-invariant system sys.

LinearProgramming[c, m, b] finds a vector x that minimizes the quantity c.x subject to the constraints m.x >= b and x >= 0. LinearProgramming[c, m, {{b_1, s_1}, {b_2, s_2}, ...

Mathematica 8 adds major new areas, including probability and statistics, graphs and networks, computational finance, control systems, wavelet analysis, and group theory. ...

RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn_1, eqn_2, ...}, {a_1[n], a_2[n], ...}, n] solves a system of recurrence equations. RSolve[eqn, a[n_1, ...

Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...

GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).

JacobiCN[u, m] gives the Jacobi elliptic function cn(u | m).

JacobiDN[u, m] gives the Jacobi elliptic function dn(u | m).

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

InverseLaplaceTransform[expr, s, t] gives the inverse Laplace transform of expr. InverseLaplaceTransform[expr, {s_1, s_2, ...}, {t_1, t_2, ...}] gives the multidimensional ...