Evaluate Infinite Sums and Products (Mathematica How To)

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.

Generating Unstructured Output (Mathematica Tutorial)

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 ...

LCM (Built-in Mathematica Symbol)

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

SixJSymbol (Built-in Mathematica Symbol)

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

CountRoots (Built-in Mathematica Symbol)

CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.

ImageTransformation (Built-in Mathematica 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, ...

InverseFourierCoefficient (Fourier Series Package Symbol)

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 (Built-in Mathematica Symbol)

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

WorkingPrecision (Built-in Mathematica Symbol)

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

SmoothHistogram (Built-in Mathematica Symbol)

SmoothHistogram[{x_1, x_2, ...}] plots a smooth kernel histogram of the values x_i.SmoothHistogram[{x_1, x_2, ...}, espec] plots a smooth kernel histogram with estimator ...