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Lebesgue measure of a semi-algebraic set

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#measure-theory #lebesgue-measure #real-algebraic-geometry #semialgebraic-geometry
171
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Disjoint Union Basic-Closed Semialgebraic Sets

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#inequality #algebraic-geometry #polynomials #real-algebraic-geometry #semialgebraic-geometry
465
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Every convex polyhedron is a spectrahedron

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#geometry #polyhedra #linear-matrix-inequality #semialgebraic-geometry #spectrahedra
119
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Lie group and algebraic group with isomorphic Lie algebra

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#lie-groups #lie-algebras #algebraic-groups #semialgebraic-geometry
242
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Given a semi-algebraic set $A$, show that $\operatorname{dist} (\cdot, A)$ is semi-algebraic

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#abstract-algebra #semialgebraic-geometry
150
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Duality gap in polynomial optimization problem Lasserre relaxation

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#optimization #nonlinear-optimization #semidefinite-programming #sum-of-squares-method #semialgebraic-geometry
646
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Box-constrained orthogonal matrix

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#linear-algebra #orthogonal-matrices #non-convex-optimization #real-algebraic-geometry #semialgebraic-geometry
80
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Which topological property am I looking for?

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#algebraic-topology #semialgebraic-geometry
157
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Belonging to the same connected component of a semialgebraic set

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#algebraic-topology #connectedness #real-algebraic-geometry #semialgebraic-geometry
86
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Given infinitely many linear inequalities, can we find an algebraic equation for the boundary?

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#algebraic-geometry #semialgebraic-geometry
158
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Is a square a semi-algebraic set?

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#algebraic-geometry #semialgebraic-geometry
331
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Image of semialgebraic set is a semialgebraic set

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#algebraic-geometry #semialgebraic-geometry
216
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Stability under operations for semi algebraic functions

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#semialgebraic-geometry
58
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Proving that a certain region in $\mathbb{R}^2_{>0}$ has a bounded number of intervals when intersected with a line

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#real-analysis #geometry #multivariable-calculus #inequality #semialgebraic-geometry
46
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Is there a rational homeomorphism $\mathbb{R}^2 \approx B_1(0,0)$ with rational inverse?

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#general-topology #semialgebraic-geometry

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