In calculus, infinite sums and products can pose a challenge to manipulate by hand. Mathematica can evaluate a huge number of different types of sums and products with ease.

The functions described in "Textual Input and Output Overview" determine how expressions should be formatted when they are printed, but they do not actually cause anything to ...

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

NDSolve returns solutions as InterpolatingFunction objects. Most of the time, simply using these as functions does what is needed, but occasionally it is useful to access the ...

LCM[n_1, n_2, ...] gives the least common multiple of the n_i.

SixJSymbol[{j_1, j_2, j_3}, {j_4, j_5, j_6}] gives the values of the Racah 6-j symbol.

ImageTransformation[image, function] gives an image in which each pixel at position {x, y} corresponds to the position function[{x, y}] in image.ImageTransformation[image, ...

WaveletFilterCoefficients[wave, filt] gives the filter coefficients for the symbolic wavelet wave of type filt.

InverseFourierCoefficient[expr, n, t] gives the function of t whose Fourier exponential series representation has coefficients given by expr, where expr is a function of n.

FittedModel[...] represents the symbolic fitted model obtained from functions like LinearModelFit.