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Lemma:LetCi⊆Rnbeaconvexsetforanyi∈I,whereIisanarbitraryindexset.Then∩i∈ICiisconvex.Proof:Letx,y∈∩i∈ICiandλ∈[0,1] ...,由JSGrace著作·2009·被引用10次—ThenifM⊆RnisanE1-convexsetthen.A(M)⊆RmisE2-convex.Proof.LetM⊆RnbeE1-convex.Letx,y∈Mand0≤λ≤1.Then.λE...
Convex Sets Definition
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Inotherwords,AsubsetSofEnisconsideredtobeconvexifanylinearcombinationθx1+(1−θ)x2,(0≤θ≤1)isalsoincludedinSforallpairsofx1, ...
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