Factor[poly] factors a polynomial over the integers. Factor[poly, Modulus -> p] factors a polynomial modulo a prime p. Factor[poly, Extension -> {a_1, a_2, ...}] factors a ...

InitializeGenerator[gen, problem, dvars, {t, t_min, t_max}, opts] returns the trek generator gen[data] when called by EquationTrekker. The specific form of data depends on ...

Mathematica provides built-in support for both programmatic and interactive image processing, fully integrated with Mathematica's powerful mathematical and algorithmic ...

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

VectorPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a vector plot of the vector field {v_x, v_y} as a function of x and y. VectorPlot[{{v_x, v_y}, {w_x, ...

Lists are central constructs in Mathematica, used to represent collections, arrays, sets, and sequences of all kinds. Lists can have any structure and size, and can routinely ...

Mathematica's sophisticated algorithms for handling higher mathematical functions to arbitrary precision—and in symbolic form—immediately brings a new level of accuracy—and ...

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...

Mathematica 7 enhances the Mathematica notebook experience in several ways, with new convenient usability features, new levels of automation for the form and structure of ...