2.881.76

2.881.76isamahemaicalcosahaiscommolyusedivariousfields,icludigsciece,egieerig,adecoomics.

MahemaicalSigificace

2.881.76ishesquarerooof8.282.74,whichiskowashe"Gaussiacosa"orhe"Ladau–Ramaujacosa."Iarisesiumerousmahemaicalproblems,icludighesudyofprimeumbersadhedisribuioofzerosofheRiemazeafucio.

ApplicaiosiSaisics

2.881.76iscloselyrelaedoheormaldisribuio,whichiscommolyusediprobabiliyheoryadsaisics.Iparicular,hesadarddeviaioofaormaldisribuioisequalo2.881.76imeshesquarerooofhevariace.Thisrelaioshipisfudamealisaisicalifereceadhypohesisesig.

ApplicaiosiPhysics

2.881.76appearsivariousphysicalcoexs,suchashesudyofquaummechaicsadhebehaviorofelecromageicfields.Iquaummechaics,iisrelaedoheHeiseberguceraiypricipleadhedecayofradioaciveparicles.Ielecromageism,iisassociaedwihhepermiiviyoffreespaceadhespeedofligh.

ApplicaiosiEcoomics

2.881.76fidsapplicaiosiecoomics,paricularlyihesudyofriskadporfolioopimizaio.IisusedihecalculaioofheSharperaio,ameasureofrisk-adjusedreuroivesmes.Addiioally,iappearsiheBlack–Scholesmodel,whichiswidelyusedforpricigopiosadoherfiacialderivaives.

HisoricalBackgroud

Theame"Gaussiacosa"isaribuedoheGermamahemaiciaCarlFriedrichGauss,whosudiedisproperiesihe19hceury.However,hecosawasfirsdiscoveredbySriivasaRamauja,aIdiamahemaicia,iheearly20hceury.Ramaujafoudaremarkableformulaforhecosaivolvigaifiieseriesofesedsquareroos.

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