PolynomialReduce (Built-in Mathematica Symbol)

PolynomialReduce[poly, {poly_1, poly_2, ...}, {x_1, x_2, ...}] yields a list representing a reduction of poly in terms of the poly_i. The list has the form {{a_1, a_2, ...}, ...

Evaluation (Mathematica Tutorial)

The following is the sequence of steps that Mathematica follows in evaluating an expression like h[e_1,e_2…]. Every time the expression changes, Mathematica effectively ...

ParametricPlot (Built-in Mathematica Symbol)

ParametricPlot[{f_x, f_y}, {u, u_min, u_max}] generates a parametric plot of a curve with x and y coordinates f_x and f_y as a function of u. ParametricPlot[{{f_x, f_y}, ...

ContourPlot3D (Built-in Mathematica Symbol)

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...

Representing XML in Mathematica (XML Package Tutorial)

Mathematica includes comprehensive support for XML, the meta-markup language developed by the World Wide Web Consortium (W3C) for describing structured documents and data. ...

DiscreteWaveletTransform (Built-in Mathematica Symbol)

DiscreteWaveletTransform[data] gives the discrete wavelet transform (DWT) of an array of data.DiscreteWaveletTransform[data, wave] gives the discrete wavelet transform using ...

FindMaximum (Built-in Mathematica Symbol)

FindMaximum[f, x] searches for a local maximum in f, starting from an automatically selected point.FindMaximum[f, {x, x_0}] searches for a local maximum in f, starting from ...

FindMinimum (Built-in Mathematica Symbol)

FindMinimum[f, x] searches for a local minimum in f, starting from an automatically selected point.FindMinimum[f, {x, x_0}] searches for a local minimum in f, starting from ...

PolarPlot (Built-in Mathematica Symbol)

PolarPlot[r, {\[Theta], \[Theta]_min, \[Theta]_max}] generates a polar plot of a curve with radius r as a function of angle \[Theta].PolarPlot[{f_1, f_2, ...}, {\[Theta], ...

Plotting Search Data (Mathematica Tutorial)

The utility functions FindMinimumPlot and FindRootPlot show search data for FindMinimum and FindRoot for one- and two-dimensional functions. They work with essentially the ...