Any combination of equations or inequalities can be thought of as implicitly defining a region in some kind of space. The fundamental function of Reduce is to turn this type ...

ForAll[x, expr] represents the statement that expr is True for all values of x. ForAll[x, cond, expr] states that expr is True for all x satisfying the condition cond. ...

LogicalExpand[expr] expands out logical combinations of equations, inequalities, and other functions.

Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original ...

The Experimental Functions Package contains functions that are being considered for official inclusion in future versions of Mathematica.

Boole[expr] yields 1 if expr is True and 0 if it is False.

Bringing together Mathematica's powerful capabilities in numerics, algebraic computation and now also geometric computation, Version 6.0 took the state of the art for ...

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

NArgMin[f, x] gives a position x_min at which f is numerically minimized.NArgMin[f, {x, y, ...}] gives a position {x_min, y_min, ...} at which f is numerically ...

Reals represents the domain of real numbers, as in x \[Element] Reals.