List questions from convex-geometry

Published on 25 Mar 2026 - 13:54

125

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Analytic solution of $\underset{x \in [0, 1]^m,\;\|x-a\|_1 \le \varepsilon}{\text{arg}\max}\;x^Tb$ where $a \in [0, 1]^m$ and $b \in \mathbb R^m$

Published on 17 Mar 2020 - 6:51

41

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How to rewrite the intersection of two hyperplanes

Published on 20 Mar 2020 - 12:45

122

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A identity on hafnians of Gram matrices

Published on 25 Mar 2020 - 20:21

46

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Non-Convex Polyhedron With 4 or 5 Faces

Published on 26 Mar 2020 - 18:39

372

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Projection onto a Polyhedral Cone as Minimization of Different Norms

Published on 28 Mar 2020 - 16:11

98

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How can I find a strictly convex subset of a given convex set?

Published on 25 Mar 2026 - 14:34

142

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Existence of a concave function passing through given points

Published on 01 Apr 2020 - 5:01

37

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Intersection of tori is a face of each torus

Published on 01 Apr 2020 - 9:53

64

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Translate a unimodular distribution so as to minimize its total-variation distance to another unimodular distribution

Published on 06 Apr 2020 - 13:33

900

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Making sense of the definition of Polyhedron

Published on 06 Apr 2020 - 14:07

671

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Equation of an ellipsoid based on vectors and norms

Published on 06 Apr 2020 - 14:18

325

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When does the center of a set of points lie in the convex hull?

Published on 06 Apr 2020 - 22:42

116

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All states are simple averages of pure states

Published on 25 Mar 2026 - 22:06

97

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Is $S = \{ (x^T Q_1 x, x^T Q_2 x) \mid \|x\|_2 = 1 \}$ convex?

Published on 08 Apr 2020 - 14:51

List Question

How many Steiner Symmetrizations does it take to make an arbitrary set convex?

Analytic solution of $\underset{x \in [0, 1]^m,\;\|x-a\|_1 \le \varepsilon}{\text{arg}\max}\;x^Tb$ where $a \in [0, 1]^m$ and $b \in \mathbb R^m$

How to rewrite the intersection of two hyperplanes

A identity on hafnians of Gram matrices

Non-Convex Polyhedron With 4 or 5 Faces

Projection onto a Polyhedral Cone as Minimization of Different Norms

How can I find a strictly convex subset of a given convex set?

Existence of a concave function passing through given points

Intersection of tori is a face of each torus

Translate a unimodular distribution so as to minimize its total-variation distance to another unimodular distribution

Making sense of the definition of Polyhedron

Equation of an ellipsoid based on vectors and norms

When does the center of a set of points lie in the convex hull?

All states are simple averages of pure states

Is $S = \{ (x^T Q_1 x, x^T Q_2 x) \mid \|x\|_2 = 1 \}$ convex?

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