Mathematica provides convenient functions and algorithms for manipulating colors in images, with full generality for arbitrary numbers of color channels.

When fitting data to a model, it is often important to obtain additional results to compare the data to the fitted function. You may wish to check the significance of ...

Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled.

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, ...

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.

GeneratedParameters is an option that specifies how parameters generated to represent the results of various symbolic operations should be named.

PlotStyle is an option for plotting and related functions that specifies styles in which objects are to be drawn.

BitOr[n_1, n_2, ...] gives the bitwise OR of the integers n_i.