Based on original algorithms developed at Wolfram Research, Mathematica's core randomness generation is both highly efficient and of exceptional quality. Mathematica can ...

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

Differentiating a known function gives an explicit result. Differentiating an unknown function f gives a result in terms of f'. Mathematica applies the chain rule for ...

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.

LogIntegral[z] is the logarithmic integral function li(z).

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.

The ability to generate pseudorandom numbers is important for simulating events, estimating probabilities and other quantities, making randomized assignments or selections, ...

Mathematica contains the world's largest collection of number theoretic functions, many based on specially developed algorithms.

Mathematica includes a very large collection of mathematical functions. "Mathematical Functions" gives the complete list. Here are a few of the common ones. Some common ...