General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...
Parallelize[expr] evaluates expr using automatic parallelization.
DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.
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 ...
ListDensityPlot[array] generates a smooth density plot from an array of values. ListDensityPlot[{{x_1, y_1, f_1}, {x_2, y_2, f_2}, ...}] generates a density plot with values ...
ListPlot3D[array] generates a three-dimensional plot of a surface representing an array of height values. ListPlot3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] generates a plot ...
Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...
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. ...
CUDAFunctionLoad[src, fun, argtypes, blockdim] loads CUDAFunction from scr and makes fun available in Mathematica.CUDAFunctionLoad[{srcfile}, fun, argtypes, blockdim] loads ...
CellularAutomaton::xtake