简介:Inthispaperweconsidersomeparalleliterationsforsplittingquadraticfactorsofpolynomialsandtheirconvergence.
简介:Thesplittingextrapolationisanimportanttechniqueforsolvingmultidimensionalproblems.Inthecasethaterroruh-uhasanasymptoticexpansionofformΣcαh2α,whereα=(α1,…,αs)andhα=h1α1,…hsαs,themethodgivesanapproximationinvolvinglesscomputerstorageandlesscomputationalworkincomparisonwiththeclassicalRichardsonextrapolation.Inthispaperwepresentarecurrenceruleofthesplittingextrapolationanddiscussitsapplicationsinthefieldsofmultipleintegrals,multidimensionalintegralequations,partialdifferentialequationsandsingularperturbationproblems.
简介:Toimprovedatacacheperformance,optimizingprogramdatalayoutbydatareorganizationhasbecomeanimportantmethodofdecreasingtheimpactofincreasinggapofspeedbetweenprocessorandmemory.Inthisarticle,astructuresplittingframeworkwithananalysismodelnamedstructurefieldrelationgraph(SFRG)ispresentedtooptimizeprogramdatalayout.TheSFRGcanbeusedtoquantifyrelationshipbetweenfields.Ithelpstofindanoptimallayoutforstructureaswellastheoptimalprogramdatalayout.AndthedatacacheperformanceisimprovedthroughSFRG-basedstructuresplitting.Experimentsshowthatthisframeworkiseffectiveinoptimizingprogramdatalayoutandimprovingtheperformanceofdatacacheandwholeprogram.
简介:LetMbeacompactorientable3-manifoldwithMconnected.IfV∪SWisaHeegaardsplittingofMwithdistanceatleast6,thenthe-stabilizationofV∪SWalongMisunstabilized.HenceMhasatleasttwounstabilizedHeegaardsplittingswithdifferentgenera.ThebasictoolisaresultondiskcomplexgivenbyMasurandSchleimer.
简介:Opticalspinsplittinghasattractedsignificantattentionowingtoitspotentialapplicationsinquantuminformationandprecisionmetrology.However,itistypicallysmallandcannotbecontrolledefficiently.Here,weenhancethespinsplittingbytransmittinghigher-orderLaguerre–Gaussian(LG)beamsthroughgraphenemetamaterialslabs.TheinteractionbetweenLGbeamsandmetamaterialresultsinanorbital-angularmomentum-(OAM)dependentspinsplitting.TheupperboundoftheOAM-dependentspinsplittingisfound,whichvarieswiththeincidentOAMandbeamwaist.Moreover,thespinsplittingcanbeflexiblytunedbymodulatingtheFermienergyofthegraphenesheets.Thistunablespinsplittinghaspotentialapplicationsinthedevelopmentofspin-basedapplicationsandthemanipulationofmid-infraredwaves.
简介:Theoxidativesplittingprocessofcis-syn1,3-dimethyluracilcyclobutanedimer(DMUD)inaqueoussolutionwasinvestigatedusingpulseradiolysistechnique.TheresultsindicatedthatDMUDcanbesplittedinto1,3-dimethyluracil(DMU)byOHradicals(OH)andBr2radicalanions(Br2^-),butnotbyazideradicals(N3^).TheoxidativemechanismsthatanH-abstractedfromDMUDforOHoxidativesplittingandanelectrontransferfromDMUDtoBr2-,weresuggested.Relatedkineticparametersweredetermined.
简介:我们报导在硅石切开耳语画廊模式的观察球形的共鸣器。描绘保险丝硅石球形的共鸣器,迅速凋落的纤维逐渐变细联合技术被采用。联合系统由纤维组成与大约2.8微米和保险丝硅石的一条直径逐渐变细有大约143微米的一条直径的球形的共鸣器。由把激光力量注入纤维逐渐变细,有3.7nm的相等的山峰间距的很多座狭窄的吸收山峰被观察在一宽光谱范围。在用形状由另一个代替共鸣器稍微被修改以后,耳语画廊模式在球形的共鸣器切开被观察。在邻近的山峰之间的波长间距是0.32nm,比以前的的小得多。CLC数字O431.2这projec被中国(60277026,90206039)的国家自然科学基础支持
简介:Inflexiblejob-shopbatchschedulingproblem,theoptimallot-sizeofdifferentprocessisnotalwaysthesamebecauseofdifferentprocessingtimeandset-uptime.Evenforthesameprocessofthesameworkpiece,thechoiceofmachinealsoaffectstheoptimallot-size.Inaddition,differentchoicesoflot-sizebetweentheconstrainedprocesseswillimpactthemanufactureefficiency.Consideringthateachprocesshasitsownappropriatelot-size,weputforwardtheconceptofschedulingwithlot-splittingbasedonprocessandsetuptheschedulingmodeloflot-splittingtocriticalpathprocessasthecore.Themodelcouldupdatethesetofbatchprocessandmachineselectionstrategydynamicallytodetermineprocessingrouteandarrangeproperlot-sizefordifferentprocesses,toachievethepurposeofoptimizingthemakespanandreducingtheprocessingbatcheseffectively.Theexperimentresultsshowthat,comparingwithlot-splittingschedulingschemebasedonworkpiece,thismodeloptimizesthemakespanandimprovestheutilizationefficiencyofthemachine.Italsogreatlydecreasesthemachinedbatches(42%)andreducesthecomplexityofshopschedulingproductionmanagement.
简介:Inordertomakeamoreeffectiveuseofthedatafromregionaldigitalseismographnetworksandtopromotethestudyonshearwavesplittinganditsapplicationtoearthquakestressforecasting,SAMsoftwaresystem,i.e.,thesoftwareonsystematicanalysismethodofshearwavesplittinghasbeendeveloped.Thispaperintroducesthedesignaims,systemstructure,functionandcharacteristicsabouttheSAMsoftwaresystemandshowssomegraphicalinterfacesofdatainputandresultoutput.Lastly,itdiscussespreliminarilythestudyofshearwavesplittinganditsapplicationtoearthquakeforecasting.
简介:WeobservetheAutler-Townessplittingeffectina△-typequantumthree-levelsystem,usingthelowestthreelevelsofaSQUID-typeAl/AlOx/Altransmonqubitembeddedinathree-dimensionalcoppermicrowavecavity.Acontroltoneatdifferentstrengthsisappliedinresonancewiththetransitionbetweenthefirstandsecondexcitedstates,whilethespectrabetweeneachofthemandthegroundstateareprobedbyanothermicrowavetone.Theexperimentalresuitshowsthedifferencebetweenthetwospectra,andfitswellwiththeLindbladmasterequationmodel.
简介:Directphotontochemicalenergyconversionusingsemiconductor–electrocatalyst–electrolyteinterfaceshasbeenextensivelyinvestigatedformorethanahalfcentury.Manystudieshavefocusedonscreeningmaterialsforefficientphotocatalysis.Photocatalyticefficiencyhasbeenimprovedduringthisperiodbutisnotsufficientforindustrialcommercialization.Detailedelucidationonthephotocatalyticwatersplittingprocessleadstoconsecutivesixreactionstepswiththefundamentalparametersinvolved:Thephotocatalysisisinitiatedinvolvingphotophysicsderivedfromvarioussemiconductorproperties(1:photonabsorption,2:excitonseparation).Thegeneratedchargecarriersneedtobetransferredtosurfaceseffectivelyutilizingtheinterfaces(3:carrierdiffusion,4:carriertransport).Consequently,electrocatalysisfinishestheprocessbyproducingproductsonthesurface(5:catalyticefficiency,6:masstransferofreactantsandproducts).Successfulphotocatalyticwatersplittingrequirestheenhancementofefficiencyateachstage.Mostcritically,afundamentalunderstandingoftheinterfacialphenomenaishighlydesiredforestablishing'photocatalysisbydesign'concepts,wherethekineticbottleneckwithinaprocessisidentifiedbyfurtherimprovingthespecificpropertiesofphotocatalyticmaterialsasopposedtoblindmaterialscreening.Theoreticalmodelingusingtheidentifiedquantitativeparameterscaneffectivelypredictthetheoreticallyattainablephoton-conversionyields.Thisarticleprovidesanoverviewofthestate-of-the-arttheoreticalunderstandingofinterfacialproblemsmainlydevelopedinourlaboratory.Photocatalyticwatersplitting(especiallyhydrogenevolutiononmetalsurfaces)wasselectedasatopic,andthephotophysicalandelectrochemicalprocessesthatoccuratsemiconductor–metal,semiconductor–electrolyteandmetal–electrolyteinterfacesarediscussed.