Theorem2.1(Bachmann)Theaverageorderof(n)is2 - PDF document

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Uploaded On 2016-03-07

Theorem2.1(Bachmann)Theaverageorderof(n)is2 - PPT Presentation

6nMorepreciselynXj1j2 12n2Onlognasn1ThemaximalorderofnissomewhatlargerandwasdeterminedbyGronwallin1913seeHardyandWright7Theorem323Sect183and229Theorem22GronwallTheasymptot ID: 245978

6n:Moreprecisely nXj=1(j)=2 12n2+O(nlogn)asn!1:Themaximalorderof(n)issomewhatlarger andwasdeterminedbyGronwallin1913 seeHardyandWright[7 Theorem323 Sect.18.3and22.9].Theorem2.2(Gronwall)Theasymptot

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