简介:Datacollectedonthesurfaceoftheearthoftenhasspatialinteraction.Inthispaper,anon-isotropicmixingspatialdataprocessisintroduced,andundersuchaspatialstructureanonparametrickernelmethodissuggestedtoestimateaspatialconditionalregression.Undermildregularities,sufficientconditionsarederivedtoensuretheweakconsistencyaswellastheconvergenceratesforthekernelestimator.Ofinterestarethefollowing:(1)Alltheconditionsimposedonthemixingcoefficientandthebandwidtharesimple;(2)Differentlyfromthetimeseriessetting,thebandwidthisfoundtobedependentonthedimensionofthesiteinspaceaswell;(3)Forweakconsistency,themixingcoefficientisallowedtobeunsummableandthetendencyofsamplesizetoinfinitymaybeindifferentmannersalongdifferentdirectioninspace;(4)However,tohaveanoptimalconvergencerate,fasterdecreasingratesofmixingcoefficientandthetendencyofsamplesizetoinfinityalongeachdirectiona
简介:Assumethatm≥2,pisaprimenumber,(m,p(p-1))=1,-1(Z/mZ)~*and[(Z/mZ)~*:]=4.Inthispaper,wecalculatethevalueofGausssumG(X)=Σ_(x∈F_q~*)x(x)ζ_p~(T(x))overF_q,whereq=p~f,f=((m))/4xisamultiplicativecharacterofF_qandTisthetracemapfromF_qtoF_p.Underourassumptions,G(x)belongstothedecompositionfieldKofpinQ(ζm)andKisanimaginaryquarticabeliannumberfield.WhentheGaloisgroupGal(K/Q)iscyclic,wehavestudiedthiscycliceaseinanotherpaper:'Gausssumsofindexfour:(1)cycliccase'(acceptedbyActaMathematicaSinica,2003).Inthispaperwedealwiththenon-cycliccase.
简介:ThispaperdealswiththeapproximatesolutionoftheFredholmequationLu=fofthesecondkindwithf∈H’(Γ).First,wegivetheorderofthen-theoptimalradiusintheworstcasesetting.Then,weshowthattheGalerkinmethodusing2n+1innerproductsoffhasminimalerror.Finally,wegivetheestimateoftheε-complexityoftheFredholmproblemofthesecondkindandGalerkinmethodintheworstcasesetting.
简介:Generalizedcase-cohortdesignhasbeenprovedtobeacost-effectivewaytoenhancetheefficiencyoflargeepidemiologicalcohort.Inthisarticle,weproposeaninferenceprocedureforestimatingtheunknownparametersinCox’sproportionalhazardsmodelingeneralizedcase-cohortdesignandestablishanoptimalsamplesizeallocationtoachievethemaximumpoweratagivenbudget.Thefinitesampleperformanceoftheproposedmethodisevaluatedthroughsimulationstudies.TheproposedmethodisappliedtoarealdatasetfromtheNationalWilm’sTumorStudyGroup.
简介:Manualacupunctureiswidelyusedforpainreliefandstresscontrol.Previousstudiesonacupuncturehaveshownitsmodulatoryeffectsonthefunctionalconnectivityassociatedwithoneorafewpreselectedbrainregions.Toinvestigatehowmanualacupuncturemodulatestheorganizationoffunctionalnetworksatawhole-brainlevel,weacupunctureatST36ofarightlegtoobtainelectroencephalograph(EEG)signals.Bycoherenceestimation,wedeterminethesynchronizationsbetweenallpairwisecombinationsofEEGchannelsinthreeacupuncturestates.Theresultingsynchronizationmatricesareconvertedintofunctionalnetworksbyapplyingathreshold,andtheclusteringcoefficientsandpathlengthsarecomputedasafunctionofthreshold.Theresultsshowthatacupuncturecanincreasefunctionalconnectionsandsynchronizationsbetweendifferentbrainareas.Forawiderangeofthresholds,theclusteringcoefficientduringacupunctureandpostacupunctureperiodishigherthanthatduringthepre-acupuncturecontrolperiod,whereasthecharacteristicpathlengthisshorter.Weprovidefurthersupportforthepresenceof'small-world'networkcharacteristicsinfunctionalnetworksbyusingacupuncture.Thesepreliminaryresultshighlightthebeneficialmodulationsoffunctionalconnectivitybymanualacupuncture,whichcouldcontributetotheunderstandingoftheeffectsofacupunctureontheentirebrain,aswellastheneurophysiologicalmechanismsunderlyingacupuncture.Moreover,theproposedmethodmaybeausefulapproachtothefurtherinvestigationofthecomplexityofpatternsofinterrelationsbetweenEEGchannels.
简介:Inthispaper,westudyoptimalrecovery(reconstruction)offunctionsonthesphereintheaveragecasesetting.WeobtaintheasymptoticordersofaveragesamplingnumbersofaSobolevspaceonthespherewithaGaussianmeasureintheLd-1q(S)metricfor1≤q≤∞,andshowthatsomeworst-caseasymptoticallyoptimalalgorithmsarealsoasymptoticallyoptimalintheaveragecasesettingintheLdq(S-1)metricfor1≤q≤∞.
简介:AFeynmandiagramtheoryforacousto-optic(AO)interactionsisestablished,whichprovidesageneralmethodtocalculatethescatteringamplitudesandintensitiesforbothsingle-frequencyandmultifrequcncyAOinteractions.ThemethodisbasedoncountingthenumberofallowableFeynmandiagrams.Thefollowingimportantassertionhasbeenprovedrigorouslyinthispaper.TheratiosofthenumbersofFeynmandiagramsallowableinvariousBraggdiffractions(isotropie,nondegeneratcbirefringent,anddegeneratebirefringent)tothatinRaman-Nathdiffractionareindependentofthenumberofdifferentacousticfrequencies,beingafunctiononlyoftheorderoftheFeynmandiagramandthediffractionorderofthefinalstate.Generalexpressionsfortheseratiosarcobtained.Basedonthis,completeperturbationsolutionsforthescatteringamplitudesandintensitiesareobtainedforanykindofAOinteractions,anynumberofacousticfrcquencies,andanyfinalstate.Thistheorygivesallresultsobtain
简介:Theeffectsofturbulenceontheaerodynamicproperties,especiallysurface-pressurespectraandvortex-inducedvibrations,oftwo-dimensionalrectangularprismswithslendernessratiosof2and4areinvestigatedexperimentally.Particularattentionisgiventoturbulenceintegralscaleef-fectsfromtheview-pointofenergydistributioninfrequencydomain.
简介:Remainingusefullife(RUL)estimationisatopicthathasgainedmoreandmoreattentioninthefieldoffluidpowersystems,thankstothetremendouspotentialsshownforimprovingsafetyandreducedproductionlosses.However,manychallengesrelatedtoRULestimationarenotsolvedyet,mainlyconnectedtothedefinitionofthehealthstatusofeachcomponent.Aprognosticmethodbasedonadata-drivenmethodologyforhydraulicsystemsishereproposedtoestimatethepercentageoflifealreadyspentbythemonitoredcomponents.Thepotentialsofthemethodologyareshownconsideringthecaseofatruck-mountedhydrauliccrane,forwhichasimulationmodelwasavailable.