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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 x₁, x₂, ....

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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

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Basic Examples (1)

Find at least one sample point in each distinct component:

Scope (3)

Properties & Relations (2)

SEE ALSO

FindInstance Reduce CylindricalDecomposition GenericCylindricalDecomposition

TUTORIALS

The Representation of Solution Sets

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Polynomial Systems

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