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A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
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Is a spectrahedron's boundary almost always "smooth"?
A spectrahedron is a convex set defined by a linear matrix inequality (LMI).
Is the boundary of such a set almost always smooth?
By "smooth" I mean that it admits a tangent hyperplane at any point …