Pure functions. When you use functional operations such as Nest and Map, you always have to specify a function to apply. In all the examples above, we have used the "name" of ...

Mathematica supports zeta and polylogarithm functions of a complex variable in full generality, performing efficient arbitrary-precision evaluation and implementing extensive ...

Integers represents the domain of integers, as in x \[Element] Integers.

MinimalPolynomial[s, x] gives the minimal polynomial in x for which the algebraic number s is a root.

KnotData[knot, " property"] gives the specified property for a knot.KnotData[knot] gives an image of the knot.KnotData["class"] gives a list of knots in the specified class.

Mathematica is built to handle arbitrarily large computations—limited only by computer time and memory—and provides a collection of convenient global safety features to ...

Mathematica can represent bit vectors of arbitrary length as integers, and uses highly optimized algorithms—including several original to Wolfram Research—to perform bitwise ...

With <<, you can read files that contain Mathematica expressions given in input form. Sometimes, however, you may instead need to read files of data in other formats. For ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...