简介：Inopticalscanningholography,onepupilproducesasphericalwaveandanotherproducesaplanewave.Theyinterferewitheachotherandresultinafringepatternforscanningathree-dimensionalobject.Theresolutionofthehologramreconstructionisaffectedbythepointspreadfunction(PSF)oftheopticalsystem.Inthispaper,wemodulatethePSFbyaspiralphaseplate,whichsignificantlyenhancesthelateralanddepthresolution.Weexplainthetheoryforsuchresolutionenhancementandshowsimulationresultstoverifytheefficacyoftheapproach.

简介：IntheresearchofusingRadialBasisFunctionNeuralNetwork(RBFNN)forecastingnonlineartimeseries,weinvestigatehowthedifferentclusteringsaffecttheprocessoflearningandforecasting.Wefindthatk-meansclusteringisverysuitable.Inordertoincreasetheprecisionweintroduceanonlinearfeedbacktermtoescapefromthelocalminimaofenergy,thenweusethemodeltoforecastthenonlineartimeserieswhichareproducedbyMackey-Glassequationandstocks.Byselectingthek-meansclusteringandthesuitablefeedbackterm,muchbetterforecastingresultsareobtained.

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简介：Weproposedaschemeforthereconstructionofthequantumstatesforthecenter-of-massvibrationalmodeoftwotrappedions.Intheschemetheionsaremultichromaticallyexcitedbythreelasers.ThenmeasurementofthedifferencebetweenprobabilitiesoftheionsbeingbothinelectronicgroundandexcitedstatesdirectlyyieldstheWignercharacteristicfunctionforthecenter-of-massvibrationalstate.Theschemecanalsobeusedtoprepareentangledcoherentstatesforthecenter-of-massandrelativevibrationalmodes.

简介：ThispaperappliestheEXP-functionmethodtofindexactsolutionsofvariousnonlinearequations.Tzitzeica-Dodd-Bullough(TDB)equationwasselectedtoillustratetheeffectivenessandconvenienceofthesuggestedmethod.Moregeneralizedsolitonarysolutionswithfreeparameterswereobtainedbysuitablechoiceofthefreeparameters,andalsotheobtainedsolitonarysolutionscanbeconvertedintoperiodicsolutions.

简介：Inthispaper,theenergy,equilibriumgeometry,andharmonicfrequencyofthegroundelectronicstateofPO2arecomputedusingtheB3LYP,B3P86,CCSD(T),andQCISD(T)methodsinconjunctionwiththe6-311++G(3df,3pd)andcc-pVTZbasissets.AcomparisonbetweenthecomputationalresultsandtheexperimentalvaluesindicatesthattheB3P86/6-311++G(3df,3pd)methodcangivebetterenergycalculationresultsforthePO2molecule.ItisshownthatthegroundstateofthePO2moleculehasC2vsymmetryanditsgroundelectronicstateisX2A1.TheequilibriumparametersofthestructureareRPO=0.1465nm,∠OPO=134.96°,andthedissociationenergyisEd=19.218eV.Thebentvibrationalfrequencyν1=386cm-1,symmetricstretchingfrequencyν2=1095cm-1,andasymmetricstretchingfrequencyν3=1333cm-1areobtained.Onthebasisofatomicandmolecularreactionstatics,areasonabledissociationlimitforthegroundstateofthePO2moleculeisdetermined.ThentheanalyticpotentialenergyfunctionofthePO2moleculeisderivedusingmany-bodyexpansiontheory.ThepotentialcurvescorrectlyreproducetheconfigurationsandthedissociationenergyforthePO2molecule.

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简介：Apreviouslypublishednewrotationfunctionhasbeenimprovedbyusingadynamiccorrelationcoefficientaswellastwonewscoringfunctionsofrelativeentropyandmean-square-residuestomaketherotationfunctionmorerobustandindependentofaspecificsetofweightsforscoringandranking.ThepreviouslydescribednewrotationfunctioncalculatestherotationfunctionofmolecularreplacementbymatchingthesearchmodeldirectlywiththePattersonvectormap.Thesignal-to-noiseratioforthecorrectmatchwasincreasedbyaveragingallthematchingpeaks.Severalmatchingscoreswereemployedtoevaluatethegoodnessofmatching.Thesematchingscoreswerethencombinedintoasingletotalscorebyoptimizingasetofweightsusingthelinearregressionmethod.Itwasfoundthatthereexistsanoptimalsetofweightsthatcanbeappliedtotheglobalrotationsearchandthecorrectsolutioncanberankedinthetop100orless.However,thissetofoptimalweightsingeneralisdependentonthesearchmodelsandthecrystalstructureswithdifferentspacegroupsandcellparameters.Inthiswork,wetrytosolvethisproblembydesigningadynamiccorrelationcoefficient.Itisshownthatthedynamiccorrelationcoefficientworksforavarietyofspacegroupsandcellparametersintheglobalsearchofrotationfunction.Wealsointroducetwonewmatchingscores:relativeentropyandmean-square-residues.Lastbutnotleast,wediscussedavalidmethodfortheoptimizationoftheadjustableparametersformatchingvectors.

简介：Rapidgrowthofmannedspaceflightresultsinmoreconcernabouthealthriskandanurgentneedofhealthassessmentinspacetravel.Sincetheimportanceofbrainfunctionstoastronauts,weexploredthelong-termeffectsandpotentialmechanismsof56Feionradiationonmicebrain.

简介：在这篇论文，基于高顺序的速度精力，集成和变化原则的定理，高顺序的哈密尔顿一般holonomic系统的原则被给。然后，三顺序的Lagrangian方程和四顺序的Lagrangian方程从高顺序的哈密尔顿的原则被获得。最后，哈密尔顿高顺序的Lagrangian功能的原则被给。

简介：我们把tanh函数方法与对称组方法相结合构造Davey-Stewartson方程和implemente的解决方案的新类型它在一台计算机代数学的系统。作为结果，答案的一些新类型被获得。如果非线性的进化方程承认转变的重要one-parametergroup，这个方法也被用于另外的微分方程。

简介：Byusingthemodifiedmappingmethod,wefindsomenewexactsolutionsofthegeneralizedBoussinesqequationandtheBoussinesq-Burgersequation.ThesolutionsobtainedinthispaperincludeJacobianellipticfunctionsolutions,combinedJacobianellipticfunctionsolutions,solitonsolutions,triangularfunctionsolutions.

简介：Inthisletterthethree-dimensionalnonlinearHelmholtzequationisinvestigated,whichdescribeselectro-magneticwavepropagationinanonlinearKerr-typemediumsuchthatsixteenfamiliesofnewJacobiellipticfunctionsolutionsareobtained,byusingourextendedJacobianellipticfunctionexpansionmethod.Whenthemodulusm→1or0,thecorrespondingsolitarywavesincludingbrightsolitons,darksolitonsandnewlinesolitonsandsinglyperiodicsolutionscanbealsofound.

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简介：cJUNNH2-terminalkinase(JNK)hasbeenreportedtoplayimportantrolesinregulatingthecellularapoptosisandautophagy.However,accuratemechanismandhowthebalanceoftheseactivitiesdeterminesthecellularradiosensitivityremainunclear.

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简介：BasedonageneralanalysisofGreenfunctionsinthereal-timethermalfieldtheory,wehaveproventhatthefour-pointamputatedfunctionsinanNJLmodelinthefermionbubblediagramapproximationbehavelikeusualtwo-pointfunctions.WeexpoundthethermaltransformationsofthematrixpropagatorsforascalarboundstateintheFFbasisandintheRAbasisrespectively.Theresultingphysicalcausal,advancedandretardedpropagatorsarerespectivelyidenticaltocorrespondingonesderivedintheimaginary-timeformalism,andthisshowsonceagainthecompleteequivalenceofthetwoformalismsofthermalfieldtheoryonthediscussedproblemintheNJLmodel.

简介：ThesplittingofpotentialenergylevelsforgroundstateX2ΠgofOx2(x=+1,1)underspin–orbitcoupling(SOC)hasbeencalculatedbyusingthespin–orbit(SO)multi-configurationquasi-degenerateperturbationtheory(SO-MCQDPT).TheirMurrell–Sorbie(M–S)potentialfunctionsaregained,andthenthespectroscopicconstantsforelectronicstates2Π1/2and2Π3/2arederivedfromtheM–Sfunction.TheverticalexcitationenergiesforOx2(x=+1,1)areν[O+12(2Π3/2→X2Π1/2)]=195.652cm1,andν[O12(2Π1/2→X2Π3/2)]=182.568cm1,respectively.Allthespectroscopicdataforelectronicstates2Π1/2and2Π3/2aregivenforthefirsttime.

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