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Let ( X 1 , R 1 ) and ( X 2 , R 2 ) be range spaces with V C d i m

Let(X1,R1) and(X2,R2) be range spaces withVCdimension(X1,R1)=D1< and VCdimension(X2,R2)=D2<. Show that VCdimension(X1X2,R1R2)=O((D1+D2)log(D1+D2)).

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