BUILT-IN MATHEMATICA SYMBOL

SemialgebraicComponentInstances

SemialgebraicComponentInstances[ineqs, {x₁, x₂, ...}]
gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs in the variables , , ....

Details Details

SemialgebraicComponentInstances assumes that all variables are real.
Lists or logical combinations of inequalities can be given.
Any solution to the set of inequalities can be connected by a continuous path to one of the points returned by SemialgebraicComponentInstances.
SemialgebraicComponentInstances produces a list of rules for variables, of the same type as Solve.

Examples Examples open all close all

Basic Examples (1)Basic Examples (1)

Find at least one sample point in each distinct component:

Out[1]=

Out[2]=

Scope (3)Scope (3)

Applications (4)Applications (4)

Properties & Relations (2)Properties & Relations (2)

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See Also See Also

FindInstance Reduce CylindricalDecomposition GenericCylindricalDecomposition

Tutorials Tutorials

The Representation of Solution Sets

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