简介:Inthispapertheexistenceanduniquenessofthesolutionofimplicithybridmethods(IHMs)forsolvingtheinitialvalueproblems(IVPs)ofstiffordinarydifferentialequations(ODEs)isconsidered.Weprovidethecoefficientconditionanditsjudgingcriterionaswellastherighthandconditiontoensuretheexistingsolutionuniquely.
简介:自从环境能力并且象陆地实际上联系了的居民一样可耕全部的平衡,斜坡为各种各样的工程构造正在成为越来越重要的选择。因为斜坡的地质的复杂性,设计和基于斜坡的设计的决策仍然不是实际的完全依靠理论分析和数字计算,但是主要在专家的经验上。因此,它有重要实际意义把一些成功的经验变成数学方程。在在云南设计构造盒子的丰富的典型斜坡之上基于,西南的中国,为分析斜坡稳定性的3个方法在这篇论文被开发了。首先,为分析斜坡稳定性的通信类似的数学方程通过案例研究被建立了。然后,当7个主要影响因素被采用时,人工的神经网络和multivariate回归分析也被建立了。
简介:Thestudyofstructure,thermodynamicstate,equationofstate(EOS)andtransportpropertiesofwarmdensematter(WDM)hasbecomeoneofthekeyaspectsoflaboratoryastrophysics.Thisfieldhasdemonstrateditsimportancenotonlyconcerningtheinternalstructureofplanets,butalsootherastrophysicalbodiessuchasbrowndwarfs,crustsofoldstarsorwhitedwarfstars.Therehasbeenarapidincreaseininterestandactivityinthisfieldoverthelasttwodecadesowingtomanytechnologicaladvancesincludingnotonlythecommissioningofhighenergyopticallasersystems,zpinchesandX-rayfreeelectronlasers,butalsoshort-pulselaserfacilitiescapableofgenerationofnovelparticleandX-raysources.ManynewdiagnosticmethodshavebeendevelopedrecentlytostudyWDMinitsfullcomplexity.Evenultrafastnonequilibriumdynamicshasbeenaccessedforthefirsttimethankstosubpicosecondlaserpulsesachievedatnewfacilities.RecentyearssawanumberofmajordiscoverieswithdirectimplicationstoastrophysicssuchastheformationofdiamondatpressuresrelevanttointeriorsoffrozengiantplanetslikeNeptune,metallichydrogenunderconditionssuchasthosefoundinsideJupiter’sdynamoorformationoflonsdaleitecrystalsunderextremepressuresduringasteroidimpactsoncelestialbodies.Thispaperprovidesabroadreviewofthemostrecentexperimentalworkcarriedoutinthisfieldwithaspecialfocusonthemethodsused.AlltypicalschemesusedtoproduceWDMarediscussedindetail.MostofthediagnostictechniquesrecentlyestablishedtoprobeWDMarealsodescribed.Thispaperalsoprovidesanoverviewofthemostprominentexamplesofthesemethodsusedinexperiments.Eventhoughthemainemphasisofthepublicationisexperimentalworkfocusedonlaboratoryastrophysicsprimarilyatlaserfacilities,abriefoutlineofothermethodssuchasdynamiccompressionwithz-pinchesandstaticcompressionusingdiamondanvilcells(DAC)isalsoincluded.Somerelevanttheoretic
简介:Plantationpoplarisoneofthemostimportantresourcesforwoodindustry,itsutilizationfieldisvast.ThewettabilityofPopulustomentosawithdifferentdryingmethodswasjudgedbymeasurementofcontactangleusingdistilledwaterinthispaper.Theresultsshowedthatthespecimensfromconventionaldryinghavethebiggestcontactangle,andtheairdriedhavethesmallestcontactangle,airdriedlumbershaveabetterwettabilitythanthekilndried.Thechangesofcontactangleinaperiodoftim...
简介:Avarietyofmatrixrationalinterpolationproblemsincludethepartialrealizationproblemformatrixpowerseriesandtheminimalrationalinterpolationproblemforgeneralmatrixfunctions.Severalproblemsincircuittheoryanddigitalfilterdesigncanalsobere-ducedtothesolutionofmatrixrationalinterpolationproblems[1—4].Bymeansofthereachabilityandtheobservabilityindicesofdefinedpairsofmatrices,Antoulas,Ball,KangandWillemssolvedtheminimalmatrixrationalinterpolationproblemin[1].Onthe
简介:Withthedevelopmentofgenomesequencingformanyorganisms,moreandmorerawsequencesneedtobeannotated.Genepredictionbycomputationalmethodsforfindingthelocationofproteincodingregionsisoneoftheessentialissuesinbioinformatics.Twoclassesofmethodsaregenerallyadopted:similaritybasedsearchesandabinitioprediction.Here,wereviewthedevelopmentofgenepredictionmethods,summarizethemeasuresforevaluatingpredictorquality,highlightopenproblemsinthisarea,anddiscussfutureresearchdirections.
简介:TheGalerkinandleast-squaresmethodsaretwoclassesofthemostpopularKrylovsubspacemethOdsforsolvinglargelinearsystemsofequations.Unfortunately,boththemethodsmaysufferfromseriousbreakdownsofthesametype:InabreakdownsituationtheGalerkinmethodisunabletocalculateanapproximatesolution,whiletheleast-squaresmethod,althoughdoesnotreallybreakdown,isunsucessfulinreducingthenormofitsresidual.Inthispaperwefrstestablishaunifiedtheoremwhichgivesarelationshipbetweenbreakdownsinthetwometh-ods.Wefurtherillustratetheoreticallyandexperimentallythatifthecoefficientmatrixofalienarsystemisofhighdefectivenesswiththeassociatedeigenvalueslessthan1,thentherestart-edGalerkinandleast-squaresmethodswillbeingreatrisksofcompletebreakdowns.Itappearsthatourfindingsmayhelptounderstandphenomenaobservedpracticallyandtoderivetreat-mentsforbreakdownsofthistype.
简介:Weconsidertheclassicalpolicyiterationmethodofdynamicprogramming(DP),whereapproximationsandsimulationareusedtodealwiththecurseofdimensionality.Wesurveyanumberofissues:convergenceandrateofconvergenceofapproximatepolicyevaluationmethods,singularityandsusceptibilitytosimulationnoiseofpolicyevaluation,explorationissues,constrainedandenhancedpolicyiteration,policyoscillationandchattering,andoptimisticanddistributedpolicyiteration.Ourdiscussionofpolicyeva...
简介:Thestudyonthedecaypropertiesofnewisotopeslocatedfarfromthebetastabilitylineiscurrentthefocusofnuclearphysics.ForisotopesintheregionZ>82andN<126,-emissionprevailsasradioactivedecaymodeand-spectroscopyisthemostimportanttooltoobtaininformationonthenuclearstructure.IntheheavynucleiregionwithN=124and126isotones,anintruderstate(h9=2.f7=2)8+basedontheattractiveinteractionoff7=2protonsandf5=2neutronshasbeensignificantlyobserved,whichincreasesthebindingenergyofthisconfigurationwithincreasingprotonnumber.