Wolfram Language

Compute Solution Set Topological Properties

The solution set of a system of polynomial equations and inequalities can be represented explicitly as a cylindrical formula constructed with algebraic function bounds for variables. The topological boundary , closure , interior and connected components of can be represented in the same format. This example shows how to compute such explicit representations using CylindricalDecomposition.

Compute topological properties of solution sets of polynomial equations and inequalities.

Compute the solution set.

Visualize the result.

Compute the boundary of the solution set.

Visualize the result.

Compute the interior of the solution set.

Visualize the result.

Compute the connected components of the solution set.

Visualize the result.

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