VectorDensityPlot[{{v_x, v_y}, s}, {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, superimposed on a ...

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...

FactorInteger[n] gives a list of the prime factors of the integer n, together with their exponents. FactorInteger[n, k] does partial factorization, pulling out at most k ...

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

Mathematica can run its calculations on other computers that have Mathematica installed. Passing computations to other, potentially more powerful, machines can increase the ...

ContinuedFractionK[f, g, {i, i_min, i_max}] represents the continued fraction \[CapitalKappa]_i = i_min^i_max f/g.ContinuedFractionK[g, {i, i_min, i_max}] represents the ...

ImageAdd[image, x] adds an amount x to each channel value in image.ImageAdd[image_1, image_2] gives an image in which each pixel is the sum of the corresponding pixels in ...

Stack[] shows the current evaluation stack, giving a list of the tags associated with evaluations that are currently being done. Stack[pattern] gives a list of expressions ...

When you write a program in Mathematica, you should always try to set it up so that its parts are as independent as possible. In this way, the program will be easier for you ...