简介：Wediscusssomeclassesoftravellingsalesmanproblemswithsumandbottleneckobjectiveswhichcanbesolvedefficientlyandposethequestionhowsuchspecialcasescanleadtogoodheuristics.

简介：Themultifractalformalismforsinglemeasureisreviewed.Next,amixedgeneralizedmultifractalformalismisintroducedwhichextendsthemultifractalformalismofasinglemeasurebasedongeneralizationsoftheHausdorffandpackingmeasurestoavectorofsimultaneouslymanymeasures.Borel-CantelliandLargedeviationsTheoremsareextendedtohigherordersandthusappliedforthevalidityofthenewvariantofthemultifractalformalismforsomespecialcasesofmulti-doublingtypemeasures.

简介：Displacednon-Keplerianorbitsaboveplanetarybodiescanbeachievedbyorientatingthesolarsailnormaltothesunline.ThedynamicalsystemstechniquesareemployedtoanalyzethenonlineardynamicsofadisplacedorbitanddifferenttopologiesofequilibriaareyieldedfromthebasicconfigurationsofHill'sregion,whichhaveasaddlenodebifurcationpointatthedegeneratedcase.Thesolarsailnearhyperbolicordegeneratedequilibriumisquiteunstable.Therefore,acontrollerpreservingHamiltonianstructureispresentedtostabilizethesolarsailnearhyperbolicordegeneratedequilibrium,andtogeneratethestableLissajousorbitsthatstaystableinsidethestabilizingregionofthecontroller.ThemaincontributionofthispaperisthatthecontrollerpreservingHamiltonianstructurenotonlychangestheinstabilityoftheequilibrium,butalsomakesthemodifiedellipticequilibriumbecomeuniqueforthecontrolledsystem.Theallocationlawofthecontrolleronthesail'sattitudeandlightnessnumberisobtained,whichverifiesthatthecontrollerisrealizable.

简介：Connes'distanceformulaisappliedtoendowlinearmetrictothree1DlatticesofdifferenttopologieswithageneralizationoflatticeDiracoperatorwrittendownbyDimakisetal.tocontainanon-unitarylink-variable.Geometricinterpretationofthislink-variableislatticespacingandparalleltransport.

简介：ThepresentstudyinvestigatesthechangesinTEC(totalelectroncontent)andionosphericscintillationindex(S4)inferredfromtheGNSSdatarecordedattheSCINDAstationofAbidjan(Latitude=5.34°N,Longitude=3.90°W)duringandafterasolarflare.Inthecourseof2014,ayearofhighsolaractivity,three(3)casesofextreme(X1.66)andmoderate(M6.23andM2.13)solarflaresrecordedinthemonthsofSeptemberandDecembereffectsontheionospherehavebeenstudiedusingtheXrayfluxes,themagneticparameters(Vx,Bz,Dst),theionosphericscintillationindexS4andTECanditsROT(timerateofchange).TheROTexhibitsaprominentpeakbetweenten(10)andtwelve(12)minutesaftertheoccurrenceofthemaximumpeakofthetimerateofchangeoftheX-rayfluxemittedduringtheflare.TheROTmaximumvalueoccurssimultaneouslywithanenhancementoftheS4index.DeferredperturbationsofthesolarflareontheTECintheSCINDAstationofAbidjanoccurwithin42to54hoursafteranM-classsolarflareandwithin46to58hoursfollowinganX-Classsolarflare.Themagneticstormsresultedfromtheseflaresshowanincrementof20%onVTECobservedwhencomparedtotheaverageVTEC()computedfromthemostfive(5)quietestdaysoftheselectedmonths.

简介：Inthispaper,amathematicalmodelfortopologyoptimizationoftrussstructureswithconstraintsofdisplacementandsystemreliabilityundermultipleloadingcasesisconstructed.Inordertoavoidthedifficultyofcomputingthestructure’ssystemreliability,asolvingapproachispresentedinwhichthefailureprobabilityofsystemisdividedintothesumofallbars’failureprobabilitybymeansofreliabilitydistribution.Inaddition,bydrawingintothereliabilitysafetyfactorandthefundamen-talrelationshipinstructuralmechanics,allprobabilityconstraintsofdisplacementandstressareequiv-alentlydisplayedasconventionalformandlinearfunctionofthedesignvariables.Theoptimizationproblemwithmultipleconstraintsistreatedbythecompactconstrainttacticsandissolvedbytheim-provedsimplexmethod.Theexamplesshowthattheapproachproposedinthispaperisfeasibleandef-ficient.

简介：Inthispaper,weconsidernonlinearinfinity-normminimizationproblems.WedeviceareliableLagrangiandualapproachforsolvingthiskindofproblemsandbasedonthismethodweproposeanalgorithmforthemixedlinearandnonlinearinfinity-normminimizationproblems.Numericalresultsarepresented.