简介:InthisnoteasimpleproofofthefamousFermat-Torricelliproblemisgiven.Fortheverticesofagiventriangle,FermatasksforafourthpointsuchthatthesumofitsEuclideandistancestothethreegivenpointsisminimized.ManyauthorspresentgeometricapproachestotheFermat-Torricelliproblem.Wesolvetheproblembyanalyticandgeometricalmethodandextendittothesphere.wealsocharacterizethemedianpointPonthegeneralregularsurface.
简介:IntheBigBangtheory,primordialnucleosynthesiswasfinishedduringfirsthalfhouroftheuniverse’sexistence.Thisprocessyieldedthemainlightelementsincludinghydrogen,deuterium,heliumandlithium.Thetheoreticalpredictionsmatchverywelltheobserveddeuteriumandheliumabundance,butthe7Liabundanceisoverpredictedbyafactorathree[1].Thisinconsistencyiscalled“cosmologicallithiumproblem”.Inthepastdecade,manyattemptstosolvethisproblemusingconventionalastrophysicsandnuclearphysicsfailed.Recently,weproposedanewsolutiontolithiumproblembyintroducingnon-extensivestatisticsintoBigBangnucleosynthesis[2].
简介:Inthispaper,byusingtheGuo-Krasnoselskii'sfixed-pointtheorem,weestablishtheexistenceandmultiplicityofpositivesolutionsforafourth-ordernonlineareigenvalueproblem.Thecorrespondingexamplesarealsoincludedtodemonstratetheresultsweobtained.
简介:Theplatformschedulingprobleminbattlefieldisoneoftheimportantproblemsinmilitaryoperationalresearch.Itneedstominimizemissioncompletingtimeandmeanwhilemaximizethemissioncompletingaccuracywithalimitednumberofplatforms.Thoughthetraditionalcertainmodelsobtainsomegoodresults,uncertainmodelisstillneededtobeintroducedsincethebattlefieldenvironmentiscomplexandunstable.Anuncertainmodelisprposedfortheplatformschedulingproblem.Relatedparametersinthismodelaresettobefuzzyorstochastic.Duetotheinherentdisadvantageofthesolvingmethodsfortraditionalmodels,anewmethodisproposedtosolvetheuncertainmodel.Finally,thepracticabilityandavailabilityoftheproposedmethodaredemonstratedwithacaseofjointcampaign.
简介:Thepurposeofthispaperistointroduceasplitgeneralizedmixedequilibriumproblem(SGMEP)andconsidersomeiterativesequencestofindasolutionofthegeneralizedmixedequilibriumproblemsuchthatitsimageunderagivenboundedlinearoperatorisasolutionofanothergeneralizedmixedequilibriumproblem.Weobtainsomeweakandstrongconvergencetheorems.
简介:perspective-three-point(P3P)的一个完全的答案分类问题被使用Gr给?bner基础方法。P3P问题推出的多项式系统的解决方案空格的结构能被计算全面Gr获得?bner系统。与概括判别式的性质结合定序,作者给明确的条件决定P3P问题的不同真实积极答案的数字。几个例子被提供说明建议条件的有效性。
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简介:Byapplyingiterativetechnique,weobtaintheexistenceofpositivesolutionsforasingularRiemann-Stieltjesintegralboundaryvalueprobleminthecasethatf(t,u)isnon-increasingrespecttou.
简介:Coalitional技巧比赛(CSG)是在每个代理人有被要求完成许多任务的一套技巧的不明确的环境的合作的一个简单模型,每项任务要求一套技巧被完成,但是每技巧是很难的被确定并且能仅仅是表示的品质上。因此远,包围CSG的许多计算问题被学习了。就我们的知识而言,作为CSG的一个中央问题,然而,联盟结构产生问题(CSGP)是极其挑战性的并且很好没被解决。到这个目的,二个不同计算智力算法此处被评估:二进制粒子群优化(BPSO)和二进制微分进化(BDE)。特别地,我们与二维的二进制代码编码开发二个随机的搜索算法并且相应为单个修理启发式。在那以后,我们讨论一些基本性质求婚启发式。最后,我们为在CSG解决CSGP把改进BPSO和BDE与最先进的算法作比较。试验性的结果证明我们的算法能与存在途径在最佳的答案附近发现一样,但是花极其短的时间,特别在大问题尺寸下面。
简介:Thispaperdiscussesastatisticalsecond-ordertwo-scale(SSOTS)analysisandcomputationforaheatconductionproblemwitharadiationboundaryconditioninrandomporousmaterials.Firstly,themicroscopicconfigurationforthestructurewithrandomdistributionisbrieflycharacterized.Secondly,theSSOTSformulaeforcomputingtheheattransferproblemarederivedsuccessivelybymeansoftheconstructionwayforeachcell.Then,thestatisticalpredictionalgorithmbasedontheproposedtwo-scalemodelisdescribedindetail.Finally,somenumericalexperimentsareproposed,whichshowthattheSSOTSmethoddevelopedinthispaperiseffectiveforpredictingtheheattransferperformanceofporousmaterialsanddemonstratingitssignificantapplicationsinactualengineeringcomputation.
简介:Concerningthespecificdemandonsolvingthelong-termconjugateheattransfer(CHT)problem,anewalgorithmoftheglobaltightly-coupledtransientheattransferbasedonthequasi-steadyflowfieldisfurtherputforward.Comparedtothetraditionalloosely-coupledalgorithm,thecomputationalefficiencyisfurtherimprovedwiththegreatlyreducedupdatefrequencyoftheflowfield,andmoreovertheupdatestepoftheflowfieldcanbereasonablydeterminedbyusingtheengineeringempiricalformulaoftheNusseltnumberbasedonthechangesoftheinletandoutletboundaryconditions.Takingaductheatedbyinnerforcedairflowheatingprocessasanexample,thecomparingresultstothetightly-coupledtransientcalculationbyFluentsoftwareshowsthatthenewalgorithmcansignificantlyimprovethecomputationalefficiencywithareasonableaccuracyonthetransienttemperaturedistribution,suchasthecomputingtimeisreducedto22.8%and40%whiletheductwalltemperaturedeviationare7%and5%respectivelyusingtwoflowupdatetimestepof100sand50sonthevariableinlet-flowrateconditions.