The primes have been a focal point for investigations of numbers for more than two millennia. Mathematica implements state-of-the-art algorithms for handling both primes and ...

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

Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over 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, ...

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

A standard electronic calculator does all your calculations to a particular accuracy, say ten decimal digits. With Mathematica, however, you can often get exact results. ...

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

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

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...

GIS extension of the TIFF format. Used for archiving and exchanging aerial photography or terrain data. Binary format. Contains rasters or digital elevation models (DEM). ...