FiniteAbelianGroupCount (Built-in Mathematica Symbol)

FiniteAbelianGroupCount[n] gives the number of finite Abelian groups of order n.

Diophantine Equations (Mathematica Guide)

Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...

$MaxPiecewiseCases (Built-in Mathematica Symbol)

$MaxPiecewiseCases gives the maximum number of cases to allow in explicit Piecewise objects generated by expanding any single piecewise function.

DigitBlock (Built-in Mathematica Symbol)

DigitBlock is an option for NumberForm and related functions that specifies the maximum length of blocks of digits between breaks.

StirlingS2 (Built-in Mathematica Symbol)

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).

Solving Frobenius Equations and ... (Mathematica Tutorial)

A Frobenius equation is an equation of the form where a_1, …, a_n are positive integers, m is an integer, and the coordinates x_1, …, x_n of solutions are required to be ...

$KernelID (Built-in Mathematica Symbol)

$KernelID is a unique ID number assigned to each running parallel kernel.

BaseForm (Built-in Mathematica Symbol)

BaseForm[expr, n] prints with the numbers in expr given in base n.

$MachinePrecision (Built-in Mathematica Symbol)

$MachinePrecision gives the number of decimal digits of precision used for machine-precision numbers.

Control the Precision and Accuracy of ... (Mathematica How To)

Mathematica works with both exact quantities and approximate numbers. Using N , you can obtain a numerical approximation to an exact quantity with any desired precision or ...