PDF-CullinganObjectHierarchytoaFrustumHierarchyNirnimesh,PawanHarish,andP.

etal43ClusterbasedtileddisplaysrequirefastcullingtomultiplefrustumscorrespondingtoeachtileinthedisplayFigure74Multiprojectordisplaysystems5useseveraloverlappingfrustumscorrespondingtoe. RemotesensingofbubblecloudsinseawaterPiotrJ.Flatau,MariaFlatauScrippsInstitutionofOceanography,UniversityofCalifornia,SanDiego,LaJolla,California92093-0221.e-mailpatau@ucsd.eduJ.R.V.ZaneveldOregonSta WethankAlbertoAlesina,PierpaoloBattigalli,RolandBenabou,MaristellaBotticini,RubenEnikolopov,NicolaGennaioli,OliverHart,ElhananHelpman,AlessandroLizzeri,MariaPetrova,GiacomoPonzetto,KennethShepsle,andp 4.2.METHODS3 (4.1) wherep(Y)istheaprioriprobabilityofparametersY,p(bjY)isthelikelihoodofobservingdatabgivenparametersY,andp(Yjb)istheaposterioriprobabilityofYgiventhedatab.Here,Yaretheparametersdescri convectingmantle J.P.Brandenburg 1 andP.E.vanKeken 1 Received20October2006;accepted12February2007;published8June2007. [ 1 ] Fractionatedisotopicratiosinsomeoceanicbasaltsindicatesthepresenceofrecycled JOURNAL for the of RELIGION CreatingaGodlessCommunity:TheCollective IdentityWorkofContemporary AmericanAtheists J ESSE M.S MITH DepartmentofSociology Basedon45in-depthinterviews,textualanalysis,andp kBT:(1)TheprobabilitiesP+andPthatthe(single)dipolebeinthestateswithparallelandanti-paralleltoB,respectivelyareP(r)=1 eEr!P+=1 1eB=kT;P=1 1eB=kT(2)Notethatobviously,P++P=1:thedipolemustbeeith Afteralittlealgebra,weobtainP3=1 1080@3922474816444524391A:Thensince=(1=3;1=3;1=3),wegetP(X3=j)=1Xi=0P(3)iji=1 32Xi=0P(3)ij;forj=0;1;2:Inparticular,wendthatP(X3=0)=132=324,P(X3=1)=62=324,andP(X3=2) @t=Zw0P+(w;w0)f(w0)dw0+Z1wP(w;w0)f(w0)dw0Z1wP+(w0;w)f(w)dw0Zw0P(w0;w)f(w)dw0+ (w)N(0)f(w) (w)(2)Theterm (w)N(0)in(2)describesthebirthofactivestatesduetoexternaldriving,whilethelasttermtakesintoa 24qn 24(notethatq:=e2izthroughout,p(0)=1,andp()=0if0or62Z).Littleisknownaboutthe`-adicpropertiesoftheP`(b;z),asb!+1,forprimes`13.Weaddressthistopic,andweshow,despitetheabsenceofmodularequations, 86H.Jiangandothersspinousligaments,theydidnotallpossessthelateralspinalligamentssuchasSCTL.Specifically,thequadrupedalanimals(e.g.dog,rat,cat)didnotpossessthelateralligamentswhereasthebipedal(man)andp Authorcontributions:C.J.H.,O.S.,andP.H.designedresearch;C.J.H.,O.S.,L.C.,X.G.,R.M., cellation[supportinginformation(SI)Fig.S1],66corticalregions(33perhemisphere)ofvaryingsizeareidentifiedandmatchedacr DivisionofRheumatologyDepartmentofMedicineUniversityofCaliforniaLosAngelesCA90095DepartmentofPediatricsNationalTaiwanUniversityHospitalCollegeofMedicineNationalTaiwanUniversityTaipeiTaiwanandofRheumat )JOEBXJ 7PMVNF\r"SUJDMF*%\rQBHFT (a) (b) 1:(a)AnteroposteriorX-raysoftheleftfootshowadislocationthroughthenaviculocuneiformjointwithbony establishesarelationshipbetweentheoriesofanimallearningandarecentlineoftheorybyTenenbaumandcollaborators,whichusessimilarideasaboutBayesianmodellearningtoexplainhumancausalreasoning[9].Wehaveappliedou