gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs in the variables x1, x2, ….
- 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.
Examplesopen allclose all
Properties & Relations (2)
Use FindInstance to find a single instance satisfying the inequalities:
An equivalent result can be obtained using Resolve:
Wolfram Research (2007), SemialgebraicComponentInstances, Wolfram Language function, https://reference.wolfram.com/language/ref/SemialgebraicComponentInstances.html.
Wolfram Language. 2007. "SemialgebraicComponentInstances." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SemialgebraicComponentInstances.html.
Wolfram Language. (2007). SemialgebraicComponentInstances. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SemialgebraicComponentInstances.html