ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).

AlgebraicUnitQ[a] yields True if a is an algebraic unit, and yields False otherwise.

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

Mathematica's approach to differential operators provides both an elegant and a convenient representation of mathematical structures, and an immediate framework for strong ...

Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original ...

SemialgebraicComponentInstances[ineqs, {x_1, x_2, ...}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs ...

AlgebraicNumberDenominator[a] gives the smallest positive integer n such that n a is an algebraic integer.

AlgebraicNumberNorm[a] gives the norm of the algebraic number a.