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PDF-3UsefulFactsThroughoutthissection,werefertoconvexfunctions.Wesaythatfi PDF document

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b+c+1+b c+a+1+c a+b+1+(1a)(1b)(1c)1:Problem4(USAMO1999).Leta1;a2;:::;an(n3)berealnumberssuchthata1+a2++annanda21+a22++a2nn2:Provethatmax(a1;a2;:::;an)2.Problem5(USAMO1998).Leta1;:::;anbe

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