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PDF-Lemma1.3.LetF[0;1]Xand 0.Wehave1.Sdim(F )fat =2(F)2.Foranyx1:n,M1( PDF document

12ddlog2en d eProofUsingthefactthatcoveringnumbersareboundedbypackingnumbersLemma13part2andLemma14wegetN1 Fnsupx1nN1 Fx1nsupx1nM1 Fx1nsupx1nM12F 2x1n2nb12dl

+12!ddlog(2en d )e:Proof.Usingthefactthatcoveringnumbersareboundedbypackingnumbers Lemma1.3 part2andLemma1.4 wegetN1( ;F;n)=supx1:nN1( ;F;x1:n)supx1:nM1( ;F;x1:n)supx1:nM1(2;F =2;x1:n)2(n(b+1)2)dl

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Lemma1.3.LetF[0;1]Xand 0.Wehave1.Sdim(F )fat =2(F)2.Foranyx1:n,M1(: Transcript

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