Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.

NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...

SquaresR[d, n] gives the number of ways r_d (n) to represent the integer n as a sum of d squares.

ArgMin[f, x] gives a position x_min at which f is minimized.ArgMin[f, {x, y, ...}] gives a position {x_min, y_min, ...} at which f is minimized.ArgMin[{f, cons}, {x, y, ...}] ...

The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

PowerModList[a, s/r, m] gives a list of all x modulo m for which x^r \[Congruent] a^s mod m.

At the core of Mathematica is the foundational idea that everything —data, programs, formulas, graphics, documents—can be represented as symbolic expressions. And it is this ...

PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.

NextPrime[n] gives the next prime above n.NextPrime[n, k] gives the k\[Null]^th prime above n.

InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.