RandomComplex (Built-in Mathematica Symbol)

RandomComplex[] gives a pseudorandom complex number with real and imaginary parts in the range 0 to 1.RandomComplex[{z_min, z_max}] gives a pseudorandom complex number in the ...

RandomReal (Built-in Mathematica Symbol)

RandomReal[] gives a pseudorandom real number in the range 0 to 1. RandomReal[{x_min, x_max}] gives a pseudorandom real number in the range x_min to x_max. RandomReal[x_max] ...

Exists (Built-in Mathematica Symbol)

Exists[x, expr] represents the statement that there exists a value of x for which expr is True. Exists[x, cond, expr] states that there exists an x satisfying the condition ...

Real Polynomial Systems (Mathematica Tutorial)

A real polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers and

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

FindIntegerNullVector (Built-in Mathematica Symbol)

FindIntegerNullVector[{x_1, x_2, ..., x_n}] finds a list of integers a_i such that a_1 x_1 + a_2 x_2 + \[CenterEllipsis] + a_n x_n == 0. FindIntegerNullVector[{x_1, x_2, ..., ...

Im (Built-in Mathematica Symbol)

Im[z] gives the imaginary part of the complex number z.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

Diophantine Polynomial Systems (Mathematica Tutorial)

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

Complex Polynomial Systems (Mathematica Tutorial)

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...