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14
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Continuity of Kullback-Leibler Divergence/Relative Entropy

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#continuity #entropy #absolute-continuity #semicontinuous-functions
28
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Lower Semi Continuous w.r.t weak Topology

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#uniform-continuity #weak-topology #semicontinuous-functions
42
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To show that a functional is not lower semicontinuous

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#calculus-of-variations #geometric-measure-theory #semicontinuous-functions
26
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From convergence pointwise to convergence of the supremum for semicontinuous functions

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#real-analysis #continuity #semicontinuous-functions
69
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Approximating a Compact set by approximating its distance function

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#real-analysis #general-topology #semicontinuous-functions #hausdorff-distance #set-valued-analysis
279
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A sequential characterization of upper semi-continuous function and openness of level set

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#real-analysis #limsup-and-liminf #semicontinuous-functions
65
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Counter example for sum of upper semicontinuous is upper semicontinuous

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#real-analysis #solution-verification #semicontinuous-functions
233
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Why lower semicontinuity and coercivity implies boundedness of a sequence?

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#real-analysis #solution-verification #proof-explanation #semicontinuous-functions #weierstrass-approximation
494
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Upper semicontinuity of a function.

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#solution-verification #semicontinuous-functions
80
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If f<g are upper and lower semicontinuous nondecreasing functions, is there some continuous nondecreasing function such that f<h<g?

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#general-topology #analysis #monotone-functions #semicontinuous-functions
55
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Is this function lower semicontinuous?

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#analysis #continuity #semicontinuous-functions
306
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Different definition of lower semi-continuity

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#real-analysis #convex-analysis #semicontinuous-functions
210
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Definition of upper semi-continuous functions: limsup or liminf?

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#functional-analysis #continuity #limsup-and-liminf #nets #semicontinuous-functions
72
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Relation between a convex lower semi-continuous function and its integral functional.

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#functional-analysis #convex-analysis #calculus-of-variations #weak-convergence #semicontinuous-functions

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