Maximize[f, x] maximizes f with respect to x.Maximize[f, {x, y, ...}] maximizes f with respect to x, y, .... Maximize[{f, cons}, {x, y, ...}] maximizes f subject to the ...

MinValue[f, x] gives the minimum value of f with respect to x.MinValue[f, {x, y, ...}] gives the minimum value of f with respect to x, y, .... MinValue[{f, cons}, {x, y, ...

If you represent the n^th term in a sequence as a[n], you can use a recurrence equation to specify how it is related to other terms in the sequence. RSolve takes recurrence ...

Round[x] gives the integer closest to x. Round[x, a] rounds to the nearest multiple of a.

Mathematica handles both integers and real numbers with any number of digits, automatically tagging numerical precision when appropriate. Mathematica internally uses several ...

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

Mathematica can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.

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

Functions relating real numbers and integers. Extracting integer and fractional parts. IntegerPart[x] and FractionalPart[x] can be thought of as extracting digits to the left ...

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...