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Prove a certain property of linear functionals, using the Hahn-Banach-Separation theorems

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#real-analysis #linear-algebra #functional-analysis #convex-analysis #banach-spaces
414
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In finite dimensional normed space, every convex set contains a basis

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#real-analysis #linear-algebra #functional-analysis #convex-analysis #normed-spaces
38
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Conjectured characterization of a set relative to a convex cone

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#convex-analysis #convex-optimization
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Convex set with empty interior is nowhere dense?

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#general-topology #functional-analysis #convex-analysis
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Representation of a point in terms of extreme points and extreme directions in a LP feasible region

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#convex-analysis #linear-programming
171
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Proving or disproving concavity of a function

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#convex-analysis #convex-optimization #information-theory
421
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Concavity of a multivariate function

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#convex-analysis
193
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Convex function property

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#calculus #functional-analysis #functions #inequality #convex-analysis
270
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strong convexity definition

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#convex-analysis
1.2k
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Show that the ellipsoid is convex

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#convex-analysis #convexity-inequality #ellipsoids
52
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Convexity of difference of KL

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#probability-theory #measure-theory #convex-analysis
240
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Condition on the discriminant of the second derivative of a biquadratic function to be concave upwards

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#calculus #derivatives #convex-analysis #discriminant
119
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Determine some functions are convex or not

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#proof-verification #convex-analysis
70
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Is it true that every convex set of the Euclidean space is the sublevel set of some convex function?

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#convex-analysis
1.4k
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The conjugate function of infimum of sum of functions

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#convex-analysis #convex-optimization #duality-theorems

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