Version 6.0 continued Mathematica's commitment to delivering the latest and most efficient algorithms for linear algebra, generalized to arbitrary precision and with full ...

HankelMatrix[n] gives the n*n Hankel matrix with first row and first column being successive integers.HankelMatrix[{c_1, c_2, ..., c_n}] gives the Hankel matrix whose first ...

CylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds a decomposition of the region represented by the inequalities ineqs into cylindrical parts whose directions correspond ...

As with integers, operations related to division are key to many computations with polynomials. Mathematica includes not only highly optimized univariate polynomial-division ...

NumberFieldDiscriminant[a] gives the discriminant of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

IndependentVertexSetQ[g, vlist] yields True if the vertex list vlist is an independent vertex set in the graph g and False otherwise.

Nand[e_1, e_2, ...] is the logical NAND function. It evaluates its arguments in order, giving True immediately if any of them are False, and False if they are all True.

NumberFieldRegulator[a] gives the regulator of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

ListContourPlot[array] generates a contour plot from an array of height values. ListContourPlot[{{x_1, y_1, f_1}, {x_2, y_2, f_2}, ...}] generates a contour plot from values ...

In using Mathematica, you sometimes need to repeat an operation many times. There are many ways to do this. Often the most natural is in fact to set up a structure such as a ...