简介:Conceptlatticeisapowerfultoolfordataanalysis.Ithasbeenappliedwidelytomachinelearning,knowledgediscoveryandsoftwareengineeringandsoon.Someaspectsofconceptlatticehavebeenstudiedwidelysuchasbuildinglatticeandrulesextraction,asforitsalgebraicproperties,therehasnotbeendiscussedsystematically.Thepapersuggestsabinaryoperationbetweentheelementsforthesetofallconceptsinformalcontext.Thisturnstheconceptlatticeingeneralsignificanceintothosewithoperators.Wealsoprovedthattheconceptlatticeisalatticeinalgebraicsignificanceandstudieditsalgebraicproperties.Theseresultsprovidedtheoreticalfoundationandanewmethodforfurtherstudyofconceptlattice.
简介:Anindependentmethodforpaper[10]ispresented.WeightedlatticepathsareemumeratedbycountingfunctionwhichisanaturalextensionofGaussianmultinomialcoefficientinthecaseofunrestrictedpaths.Convolutionsforpathcountsareinvestigated.whichyieldssomeVandermonde-typeidentitiesformultinomialandq-multinomialcoefficients.
简介:LargescaleQCDMonteCarlocalculationshavetypicallybeenperformedoneithercommercialsupercomputersorspeciallybuiltmassivelyparallelcomputerssuchasFermilab'sACPMAPS.Commodityclustersequippedwithhighperformancenetworkingequipmentpresentanattractivealternative,achievingsuperiorperformancetopriceratiosandofferingclearupgradepaths.WedescribetheconstructionandresultstodateofFermilab'sprototypeproductioncluster,whichconsistsof80dualPentiumⅢsystemsinterconnectedwithMyrinetnetworkinghardware.Wedescribesoftwaretoolsandtechniqueswehavedevelopedforoperatingsysteminstallationandadministration.WediscusssoftwareoptimizationsusingthePentium'sbuilt-inparallelcomputationfacilities(SSE),Finally,wepresentshortandlongtermplansfortheconstructionoflargerfacilities.
简介:AlatticeBoltzmannnumericalmodelingmethodwasdevelopedtopredictskinconcentrationaftertopicalapplicationofadrugontheskin.ThemethodisbasedonD2Q9latticespacesassociatedwiththeBhatnagar-Gross-Krook(BGK)collisiontermtosolvetheconvection-diffusionequation(CDE).Asimulationwascarriedoutindifferentrangesofthevalueofbound,whichisrelatedtoskincapillaryclearanceandthevolumeofdiffusionduringapercutaneousabsorptionprocess.Whenatypicaldrugisusedontheskin,thevalueofcorrespondstotheamountofdrugabsorbedbythebloodandtheabsorptionofthedrugaddedtotheskin.Theeffectofwasstudiedforwhentheregionofskincontactisalinesegmentontheskinsurface.
简介:AnewlatticeBoltzmannmodelforcompressibleperfectgasispro-posed.Thenumericalexampleshowsthatitcanbeusedtosimulateshockwaveandcontactdiscontinuity.Theresultsarecomparablewiththoseobtainedbytraditionalmethods.Theratioofspecificheatsγmaybechosenaccordingtotherequirementofproblems.
简介:WeaddresstheimpactofnonlocalityinthephysicalfeaturesexhibitedbysolitonssupportedbyKerr-typenonlinearmediawithanimprintedopticallattice.WediscussthesolitonssolutionforaclassofnonlinearSchr¨odingerequationsintheopticallatticewithnonlocalnonlinearity.Wealsoshowviaauniformprioriestimatethatexistenceanduniquenessoftheglobalsolutionfortheinitialproblem.
简介:TheproblemofthemixedconvectioninacubiccavityisstudiedwithlatticeBoltzmannmethod.Amultiple-relaxation-timelatticeBoltzmannmodelforincompressibleflowinthecubiccavityandanotherthermallatticeBoltzmannmodelforsolvingenergy/temperatureequationareproposed.Thepresentmodelsarefirstvalidatedthroughacomparisonwithsomeavailableresults,andthen,wepresentadetailedparameterstudyonthemixedconvectioninthecubiccavity.ThenumericalresultsshowthattheHowandtemperaturepatternschangegreatlywithvariationsoftheReynoldsandRichardsonnumbers
简介:Inthisstudy,amulti-relaxationtimelatticeBoltzmannmodelforshallowwaterinacurvilinearcoordinategridisdevelopedusingthegeneralizedformoftheinterpolationsupplementedlatticeBoltzmannmethod.TheTaylor-Coletteflowtestsshowthattheproposedmodelenjoysasecondorderaccuracyinspace.Theproposedmodelisappliedtothreetypesofmeanderingchannelswith180°,90°and60°consecutivebends.Thenumericalresultsdemonstratethatthesimulatedresultsagreewellwithpreviouscomputationalandexperimentaldata.Inaddition,themodelcanachievetheacceptableaccuracyintermsofthewaterdepthandthedepth-averagedvelocitiesforshallowwaterflowsincurvedandmeanderingchannelsoverawiderangeofbendangles.
简介:Usingatriangularlatticemodeltostudythedesignabilityofproteinfolding,weovercametheparityproblemofpreviouscubiclatticemodelandenumeratedallthesequencesandcompactstructuresonasimpletwo-dimensionaltriangularlatticemodelofsize4+5+6+5+4.Weusedtwotypesofaminoacids,hydrophobicandpolar,tomakeupthesequences,andachieved223+212differentsequencesexcludingthereversesymmetrysequences.Thetotalstringnumberofdistinctcompactstructureswas219,093,excludingreflectionsymmetryintheself-avoidingpathoflength24triangularlatticemodel.Basedonthismodel,weappliedafastsearchalgorithmbyconstructingaclustertree.Thealgorithmdecreasedthecomputationbycomputingtheobjectiveenergyofnon-leafnodes.Theparallelexperimentsprovedthatthefasttreesearchalgorithmyieldedanexponentialspeed-upinthemodelofsize4+5+6+5+4.Designabilityanalysiswasperformedtounderstandthesearchresult.
简介:ACENTRALLIMITTHEOREMFORLATTICEGAUGEGIBBSRANDOMFIELDSCHENDONGQING(陈冬青)(DepartmentofAppliedMathematics,TsinghuaUniversity,Beiji...
简介:AKondomodelinasquaretight-bondinglatticeofconductionelectronsisconsidered.TheKondointeractiontakesad-wave.Usingmean-fieldtheoryandnumericalsimulations,itisfoundthatthereisapseudo-gapfortheimpuritydensityofstatesattheFermilevel.Numericalresultsalsoshowthattheexponentsofthelowtemperaturethermodynamicquantitiesarenon-universalbutdependentontheinteraction.
简介:Wereportourlatticesimulationonthecharmoniumspectrainthequenchedapproximation.Becausethecompleteadjustmentonallthenonperturbativeparametersneedsmuchcalculationtime,weonlyadjusttwoofthem,butwithsomerescalingformasssplitting.Aftertherescaling,thecalculatedmassesofmesonare3.030GeV(ηc),3.080GeV(J/ψ),3.546GeV(he)and3.412GeV(Xco)respectively,whichisinagreementwiththeexperimentalresults.