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简介：ＳＹＳＴＥＭＳＳＣＩＥＮＣＥＡＮＤＭＡＴＨＥＭＡＴＩＣＡＬＳＣＩＥＮＣＥＳ￥ＩｎｓｔｒｕｃｔｉｏｎｆｏｒＡｕｔｈｏｒｓＴｈｅＥｎｇｌｉｓｈｅｄｉｔｉｏｎｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅａｎｄＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓｉｓｄｉｓｔｒｉｂｕ...

简介：Reliablequantitativeestimationofbedaggradationordegradationisimportantforriver-trainingandwatermanagementprojects.Withthedevelopmentofwaterresources,sedimentproblemsassociatedwithadamarebecomingmoresevere.Thispaperdescribessomespecialproblemsinmathematicalmodelforcalculationofdegradationandaggradationinareservoir.Themaineffortsofthisstudyareonthetreatmentofsomephysicalprocessesoffinesedimenttransport(＜0.05mm).Problemsinareservoirareobviouslydifferentfromanaturalstream,suchastheturbidcurrentflow,orificesedimentflushing;andtheinitiationandconsolidationofcohesivesedimentdeposition.ThecaseofLiujiaxiaReservoir,whichislocatedintheupperreachesoftheYellowRiver,isemployedtoverifythemodel.Theresultsshowthatthemodelisapplicableintheevaluationofanengineeringplaningwithplentyoffinesedimentmovement.

简介：TheEnglisheditionofSystemsScienceandMathematicalSciencesisdistributedinternationally.Itseekstopublishtheoreticalandappliedpaperspertainingtosystemsscienceandmathematicalsciences.Itisforresearchers,engineersandteachingpeopleengagedintheseareas.

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简介：ＳＹＳＴＥＭＳＳＣＩＥＮＣＥＡＮＤＭＡＴＨＥＭＡＴＩＣＡＬＳＣＩＥＮＣＥＳＩｎｓｔｒｕｃｔｉｏｎｆｏｒＡｕｔｈｏｒｓＴｈｅＥｎｇｌｉｓｈｅｄｉｔｉｏｎｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅａｎｄＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓｉｓｄｉｓｔｒｉｂｕｔ...

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

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简介：Thispaperstudiesthemodellingandsimulationforallformsofhcaters.Theassumptionofformerdaysthatthetemperatureofcondensationisthesaturationtemperaturecorrespondingtoheaterpressureinsteamsideisnolongerused.Onthebasisofthelawsofconservationofmass,energyandmomentum,themathematicalmodelofheatersisestablishedandthesimulationcalculationofa125MWunitismade.Thercsultshowsthatthemodelisapplicableforvariouskindsofsteam-waterheaterinpowerplant.

简介：InthispaperamathematicalmodelofAIDSisinvestigated.Theconditionsoftheexistenceofequilibriaandlocalstabilityofequilibriaaregiven.TheexistencesoftranscriticalbifurcationandHopfbifurcationarealsoconsidered.inparticular,theconditionsfortheexistenceofHopfbifurcationcanbegivenintermsofthecoefficientsofthecharacteristicequation.ThemethodextendstheapplicationoftheHopfbifurcationtheoremtohigherdifferentialequationswhichoccurinbiologicalmodels,chemicalmodels,andepidemiologicalmodelsetc.

简介：Thispaperdealswiththelimitanalysesofperfectrigid-plasticcontinua.Basedonthekinematictheoremofthelimitanalysistheory,amathematicalprogrammingfiniteelementformulafordeterminingtheupperboundloadmultiplierhasbeenestablished,andaniterationalgorithmproposedaccordingly.Inthisalgorithmtheplasticandrigidzonesaredistinguishedforeveryiterationstep,andthegoalfunctionismodifiedgradually.Thedifficultiescausedbythenonsmoothnessofthegoalfunctionareover-come.Someexamplessolvedbythisalgorithmarepresented.

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简介：Thispaperputsforword11cartographicgeneralizationoperatormodelsandintroducestheirmathematicaldefinitions,andthusaprecisemathematicalformandquantitativedescriptionhasbeengiventotheseformerlylimitedqualitativeconcepts.Themeaningofmathematicaldefinitionofoperatorsforcartographicgeneralizationandtheapplicationprospectincomputer-aidedcartography(CAC)isstated.

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简介：KnowledgerepresentationandreasoningisakeyissueoftheKnowledgeGrid.ThispaperproposesaKnowledgeMap(KM)modelforrepresentingandreasoningcausalknowledgeasanoverlayintheKnowledgeGrid.ItextendsFuzzyCognitiveMaps(FCMs)torepresentandreasonnotonlysimplecause-effectrelations,butalsotime-delaycausalrelations,conditionalprobabilisticcausalrelationsandsequentialrelations.ThemathematicalmodelanddynamicbehaviorsofKMarepresented.Experimentsshowthat,undercertainconditions,thedynamicbehaviorsofKMcantranslatebetweendifferentstates.Knowingthiscondition,expertscancontrolormodifytheconstructedKMwhileitsdynamicbehaviorsdonotaccordwiththeirexpectation.SimulationsandapplicationsshowthatKMismorepowerfulandnaturalthanFCMinemulatingrealworld.

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