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简介：Inthispaper,weintroducetheapplicationofrandommatricesinmathematicalphysicsincludingRiemann-Hilbertproblem,nuclearphysics,bigdata,imageprocessing,compressedsensingandsoon.WestartwiththeRiemannHilbertproblemandstatetherelationbetweentheprobabilitydistributionofnontrivialzerosandtheeigenvaluesoftherandommatrices.Throughtherandommatricestheory,wederivethedistributionofNeutronwidthandprobabilitydensitybetweenenergylevels.Inaddition,theapplicationofrandommatricesinquantumchromodynamicsandtwodimensionalEinsteingravityequationsisalsopresentinthispaper.

简介：Oursocietyisdevelopingrapidly,inasocietylikethis,theentrepreneursandproductmanufacturerstendtousewhitespaceorpicturesmassivelyinsteadoftextinformationintheiradvertisementsorleaflets.Thisphenomenonistotallydifferentfromitwasintheyearspast,whenhighpricesandoutdatedtechnologieslimitedthecapabilityofprintingindustry,andforcedthemtoputmoretextinformationintheirpublicationsorprintedmaterials.

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简介：Wedevelopanumericalschemetoconstructthescattering(S)matrixforopticalmicrocavities,includingthespecialcaseswithparity-timeandothernon-Hermitiansymmetries.Thisschemeincorporatestheexplicitformofanonlocalboundarycondition,withtheincidentlightrepresentedbyaninhomogeneousterm.ThisapproachresolvestheartifactofadiscontinuousnormalderivativetypicallyfoundintheR-matrixmethod.Inaddition,weshowthat,byexcludingtheaforementionedinhomogeneousterm,thenon-HermitianHamiltonianinourapproachalsodeterminesthePeriels–Kapurstates,anditconstitutesanalternativeapproachtoderivethestandardR-matrixresultinthisbasis.Therefore,ourschemeprovidesaconvenientframeworktoexplorethebenefitsofbothapproaches.Weillustratethisboundaryvalueproblemusing1Dand2DscalarHelmholtzequations.TheeigenvaluesandpolesoftheSmatrixcalculatedusingourapproachshowgoodagreementwithresultsobtainedbyothermeans.

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简介：ByemployingtheSchauderfixed-pointtheorem,weestablishnewsufficientconditionsforthecontrollabilityofimpulsivefunctionalboundaryvalueproblems.

简介：ThispapermainlydiscussestheproblemsexistinginthetraditionaldesignprocessoftherefrigerationstationandtriestosolvethemwithBIMtechnology.ConsideringthecharacteristicsofBIMtechnology,BIMdesignprocessispresentedbasedonthetraditionaldesignprocesstoachievethegoalofimprovingdesignqualityandefficiency.

简介：Preparationofhierarchicallyporous,heteroatom-richnanostructuredcarbonsthroughgreenandscalableroutesplaysakeyroleforpracticalenergystorageapplications.Inthiswork,naturallyabundantlignocellulosicagriculturalwastewithhighinitialoxygencontent,hazelnutshells,werehydrothermallycarbonizedandconvertedintonanostructured‘hydrochar’.Environmentallybenignceramic/magnesiumoxide（MgO）templatingwasusedtointroduceporosityintothehydrochar.Electrochemicalperformanceoftheresultingmaterial（HM700）wasinvestigatedinaqueoussolutionsof1MH2SO4,6MKOHand1MNa2SO4,usingathree-electrodecell.HM700achievedahighspecificcapacitanceof323.2F/gin1MH2SO4（at1A/g,-0.3to0.9Vvs.Ag/AgCl）duetothecontributionsofoxygenheteroatoms（13.5wt%）tothetotalcapacitancebypseudo-capacitiveeffect.Moreover,amaximumenergydensityof11.1Wh/kgandamaximumpowerdensityof3686.2W/kgwereattainedforthesymmetricsupercapacitoremployingHM700aselectrodematerial（1MNa2SO4,E=2V）,makingthedevicepromisingforgreensupercapacitorapplications.

简介：Intheanalysisoneconomicgrowthfactors,calculatingthecontributionrateofinfluencingfactortoeconomicgrowthusingtheCESproductionfunctionmodelisacommonandimportantresearchfield.TheCESproductionfunctionmodelhasavarietyofforms,andthesuperpositionCESproductionfunctionmodelproposedinthepaperisanewmodel.Withregardtothemodel’sparameterestimation,thepaperproposesamodifiedparticleswarmoptimizationwhichhasafastconvergencerateandahighprecision.Withregardtothecalculationoffactorcontributionrate,thepaperoffersanewscientificcalculationmethodwiththesuperpositionCESproductionfunctionmodel.Atlast,thepapermakesanempiricalanalysisonthecontributionrateofChineseeconomicgrowthfactorsandtheresultobtainedconsistswiththereality.

简介：Occlusaldisordercausedbysevereworndentitionisoneofthemostcommondiseasesintheocclusion.Occlusalreconstructionisanimportantrepairmethod,referringtomodifyandrebuildtheexistingocclusionstatus,thentorestoretheocclusion.Duringocclusalreconstruction,thedigitalocclusionanalysissystemcanaccuratelyacquiretheocclusionstatus,inordertoguidethereconstructionocclusionaccuratelyandrestorethenormalfunctionoftheoralmaxillarysystem.Thispaperreviewstheconceptofocclusalreconstruction,sequencetherapy,traditionalocclusionanalysismethodsandthedevelopmentstatusandprospectofdigitalocclusionanalysis.

简介：Inrecentyears,languagetransferhasbeenattachedgreatimportanceinthestudiesofsecondlanguageacquisitionandteaching.Boththepositiveandnegativetransfershouldbepaidgreatattentionto.Theinfluenceofmothertongueisthecoreaspectinthetransfertheoryofsecondlanguageacquisition.Ontheonehand,ifthesimilaritiesofthetwolanguagescanbefullyutilizedandcanproduceresultsthatfacilitatethesecondlanguageacquisition,theinfluencescanbereferredtoaspositive,andthetransfercanbecalledpositivetransfer.Ontheotherhand,negativetransferexistswhenmothertonguehasinsertedinterferenceswhichmaycauseerrorsinthesecondlanguageacquisitionprocess.Restrictionsmayoccurintheacquisitionprocessofsecondlanguage.

简介：混合模拟是为评估结构的系统的地震性能的一个强大的测试方法。这个方法使，结构的仅仅批评的部件试验性地被测试，可行。这份报纸为被瞄准扩大它的能力到存在方法遇到一些限制的大量系统的地震混合模拟论述一个最新建议的集成算法。在建议方法，它被称为可变时间步(vt)集成方法，一个含蓄的计划被在试验性的元素上消除反复的阶段为混合模拟采用，在常规含蓄的应用必要的阶段。以便学习VTS方法的有效性，一系列数字调查被进行它在获得精确、稳定、收敛的回答显示出VTS方法的成功。在一条比较途径，然后，在通常使用的集成方法上的VTS方法的改进精确性被表明。VTS方法的稳定性也被学习，结果证明它提供有条件的稳定性；然而，它的稳定性限制在精确性限制以外好。VTS方法结果上的时间延期的效果也被调查，VTS方法在处理这个试验性的错误是相当成功的，这被显示出。

简介：Theneedformoreactiveandhydrothermallystablefluidcatalyticcracking(FCC)catalyststocombattheeffectofmetalcontaminantshasledtoanincreaseindemandforrareearthoxides.RareearthoxidesenhancecatalystactivityandpreventthelossofacidsitesduringtheFCCunitoperation,especiallywhenheavyresiduewithhighmetalcontentisusedasfeed.Inthispaper,areviewwascarriedouttoshowtheeffectsofrareearthelementsonthestructure,activity,andstabilityofFCCcatalysts.Also,theuseofrareearthelementsasvanadiumtrapswasanalyzedinconjunctionwiththemechanismofcatalystdeactivationbyvanadium.TheobjectivewastoelucidatetheinteractionofvanadiumspecieswiththezeolitecomponentoftheFCCcatalystsandtheroleofrareearthelementsincounteringthedeleteriouseffectsofvanadiumontheFCCcatalysts.

简介：Inthispaper,weestablishtheexistenceresultofsolutionandpositivesolutionfortwo-pointboundaryvalueproblemofasemilinearfractionaldifferentialequationbyusingtheLeray-Schauderfixed-pointtheorem.Thediscussionisbasedonthesystemofintegralequationsonaboundedregion.

简介：Inthispaper,weestablishaLyapunov-typeinequalityforfractionaldifferentialperiodicboundary-valueproblems.Asapplications,anecessaryconditionisobtainedtoensuretheexistenceanduniquenessofnontrivialsolutionstothisproblem.

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