The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

ParallelMap[f, expr] applies f in parallel to each element on the first level in expr.ParallelMap[f, expr, levelspec] applies f in parallel to parts of expr specified by ...

ReverseBiorthogonalSplineWavelet[] represents a reverse biorthogonal spline wavelet of order 4 and dual order 2.ReverseBiorthogonalSplineWavelet[n, m] represents a reverse ...

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

Plot3D[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a three-dimensional plot of f as a function of x and y. Plot3D[{f_1, f_2, ...}, {x, x_min, x_max}, {y, y_min, ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

ParametricPlot3D[{f_x, f_y, f_z}, {u, u_min, u_max}] produces a three-dimensional space curve parametrized by a variable u which runs from u_min to u_max. ...

Animate[expr, {u, u_min, u_max}] generates an animation of expr in which u varies continuously from u_min to u_max. Animate[expr, {u, u_min, u_max, du}] takes u to vary in ...

HaarWavelet[] represents a Haar wavelet.