Arithmetic Numerical Mathematics in Mathematica The Uncertainties of Numerical Mathematics

TreeGraph[{v_1, v_2, ...}, {u_1, u_2, ...}] yields a tree where u_i is the predecessor of v_i.TreeGraph[{e_1, e_2, ...}] yields a tree with edges e_j.TreeGraph[{v_1, v_2, ...

TreeGraphQ[g] yields True if the graph g is a tree and False otherwise.

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, ...}] ...

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 ...

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.