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Pqiv(ai).Thenitiseasytoseethatthereexistanetransformationsofu;v,callt

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amaxamin[AaminU];B0=1 bmaxbmin[BbminU]: pB(z)a...

InterchangingtheOrderofSummationCorollary(InterchangingtheOrderofSumma

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Cand,foreachn2IN,fn:E! Candassumethat(H1)limn!1fn(...

andspeedupjobsmorethan10overHDFS.Moreimportantly,webelievethatduetoth

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theworkowmanagerusesalogicaldirectedacyclicgraph(...

manipulatingthedistalthirdoftheleg(external

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rotation/internalrotation)untilthetalusheadwas cen...

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i.e.,generallyvectorisunderestimated,andthedegreeofunderestimationhigh

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* isastrictlyincreasingfunctionof,bylinearapproxim...

thatis,CnR!C;I(C).Thissetisexternallysupported,allotheratomsofCformth

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3Anyanswersetofaprogramisamodeloftheprogram'scom-p...

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1butitsconsistencyisequivalenttoconsistencyofexist...

ample.Recentresearchlooksathowtoreducethesizeofthecomplexesinthe ltrat

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totheindexset[p;q].Thatis,V[p;q]=Vpvp !vq1 !Vq...

columnscangrowwiththesizeandcomplexityofthedataset.Thatis,apriori,IBP|

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Q2N1h=1Kh!expf HNgKYk=1(Nmk)!(mk1)! N!(1)where...

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.Thus Wemustthusensurethatnottoomanysumsarediscard...

andland,henceofwages,profitofcapitalandrent,likewisethe

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inverselyproportional privatepropertyinabstractand...

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AbernethyBartlettHazanThisalternativedescriptionof...

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(thatis,theamountofnon-bound

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2thecommonintermediate eldKt=Kt0contains(t�t0)baswellas1=(t�t0)2k,soi

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kandweletksdenotetheseparableclosureofkinsideof k....

Chapter3FindingSimilarItemsAfundamentaldata-miningproblemistoexamineda

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72 74CHAPTER3.FINDINGSIMILARITEMSintooneofsetinter...

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Thatis,bothRussellandStrawsonassumethatwheneveraspeakeruttersasentence

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anyoneinparticularisdrinkingamartini.Hemakesthesam...

goodsaresoldsequentiallyovertime.Thesemorecomplexvariationscanalsobean

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fortheitem.Thatis,eachbuyerknowshowmuchshevaluesth...

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3NicomacheanEthics,BookIII.4Threetechnicaldetails....

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perspective,inheritedfromHarsanyi(1967/68):theagentbehavesoptimallyast

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Thatis,situationswhereTommustndsomenumberandcomesu...

ChordalGraphIsomorphismContents.�Chordalgraphs.�Characterizationofchor

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Gupta,Bengio,andWestonaformofcurriculumlearning,thatis,oflearningtodis

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Discovering large dense subgraphs in massive graphs

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jA[Bj:Thatis,theprobabilitythatthesmallestelemento...

letterstonature436NATUREVOL41524JANUARY2002www.nature.com

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vernier.Forthesamereason,activitycorrespondingtofo...

{plausibilitiesaretobeconsistent,inthesensethatiftherearemultiplesensi

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1.IntroductionSchelling(1960)pointedouttheimportan...

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losingcoherence.Insodoing,hemanagestoturnalargelyn...

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dx.Wewouldliketo\undo"di erentiation,soweintegrate...

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