Segmentation Analysis (Mathematica Guide)

Mathematica includes a variety of image segmentation techniques such as clustering, watershed, region growing, and level set as well as a rich set of functions for ...

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

Equations in One Variable (Mathematica Tutorial)

The main equations that Solve and related Mathematica functions deal with are polynomial equations. It is easy to solve a linear equation in x. One can also solve quadratic ...

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 ...

Primes (Built-in Mathematica Symbol)

Primes represents the domain of prime numbers, as in x \[Element] Primes.

CountRoots (Built-in Mathematica Symbol)

CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.

MaxPlotPoints (Built-in Mathematica Symbol)

MaxPlotPoints is an option for plotting functions like ArrayPlot and ListPlot3D that specifies the maximum number of points that will explicitly be included in the output.

Root (Built-in Mathematica Symbol)

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

FrobeniusNumber (Built-in Mathematica Symbol)

FrobeniusNumber[{a_1, ..., a_n}] gives the Frobenius number of a_1, ..., a_n.

GenericCylindricalDecomposition (Built-in Mathematica Symbol)

GenericCylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds the full-dimensional part of the decomposition of the region represented by the inequalities ineqs into ...