简介:Inthispaper,thecycle’sstructureofembeddedgraphsinsurfacesarestudied.Accordingtothemethodoffundamentalcycles,thesetC(Ccontainsallshortest)isfound.AundirectedgraphGwithnverticeshasatmostO(n5)manyshortestcycles;IftheshortestcycleofGisoddcycle,thenGhasatmostO(n3)manyshortestcycles;IfGhasbeenembeddedinasurfaceSg(Ng,gisaconstant),thenithasatmostO(n3)shortestcycles,moreover,iftheshortestcycleofGisoddcycle,then,GhasatmostO(n2)manyshortestcycles.WecanfindacyclebaseofG,thenumberofoddcyclesofG,thenumberofevencyclesofG,thenumberofcontractiblecyclesofG,thenumberofnon-contractiblecyclesofG,arealldecided.IftheΠ-embeddedgraphGhasΠ-twosidedcycles,then,CcontainsashortestΠ-twosidedcycleofG,thereisapolynomiallyboundedalgorithmthatfindsashortestΠ-twosidedcycleofaΠ-embeddedgraphG,thenewandsimplesolutionsabouttheopenproblemofBojanMoharandCarstenThomassenareobtained.
简介:SmallRNA(sRNA)-mediatedpost-transcriptionalregulationdiffersfromprotein-mediatedregulation.Throughbasepairing,sRNAcanregulatethetargetmRNAinacatalyticorstoichiometricmanner.Sometheoreticalmodelswerebuiltforcomparisonoftheprotein-mediatedandsRNA-mediatedmodesinthesteady-statebehaviorsandnoiseproperties.ManyexperimentsdemonstratedthatasinglesRNAcanregulateseveralmRNAs,whichcausescrosstalkbetweenthetargets.Here,wefocusonsomemodelsinwhichtwotargetmRNAsaresilencedbythesamesRNAtodiscusstheircrosstalkfeatures.Additionally,thesequence-functionrelationshipofsRNAanditsroleinthekineticprocessofbase-pairinghavebeenhighlightedinmodelbuilding.
简介:Byusingsequentiallylowercompletespaces(see[Zhu,J.,Wei,L.,Zhu,C.C.:Caristitypecoincidencepointtheoremintopologicalspaces.J.AppliedMath.,2013,ID902692(2013)]),wegiveanewversionofvectorialEkeland’svariationalprinciple.Inthenewversion,theobjectivefunctionisdefinedonasequentiallylowercompletespaceandtakingvaluesinaquasi-orderedlocallyconvexspace,andtheperturbationconsistsofaweaklycountablycompactsetandanon-negativefunctionpwhichonlyneedstosatisfyp(x,y)=0iffx=y.Here,thefunctionpneednotsatisfythesubadditivity.FromthenewEkeland’sprinciple,wededuceavectorialCaristi’sfixedpointtheoremandavectorialTakahashi’snon-convexminimizationtheorem.Moreover,weshowthattheabovethreetheoremsareequivalenttoeachother.Byconsideringsomeparticularcases,weobtainanumberofcorollaries,whichincludesomeinterestingversionsoffixedpointtheorem.
简介:Weprovideanalyticalsolutionstotheproblemsofacircularbendingofabeaminplanestrainandthetorsionofanon-circularcross-sectionbeam,thebeamsobeyingasecond-gradientelasticitylawproposedbytheauthor,followingaprevioussuggestionofdell'Isolaetal.(2009).Themotivationwastofindbenchmarkanalyticalsolutionsthatcanservetograspthephysicalfoundationsofsecondgradientelasticitylawsforheterogeneousmaterials.TheanalyticalsolutionofthecircularbeamproblempresentstheadditionaladvantagetoestablishsomenicepropertiesontheunknownsecondgradientelasticmoduliintroducedbyEnakoutsa(2014)modelandtheclassicalelasticityconstantsforbothincompressibleandcompressibleheterogeneouselasticmaterials.Aframeworktofindtheelasticmoduliofthenewmodelisalsoproposed.
简介:Inagasturbineenginecombustor,highlyswirlingcombustionisusuallyadoptedtostabilizeflameandreducepollutantemissions.Swirlcup,asanairblastatomizer,iswidelyusedtoprovideauniformpresentationoffueldropletstothecombustordome.Thispaperinvestigatedtheeffectofsecondaryswirlerontheflowfielddownstreamoftheswirlcupusingparticleimagevelocimetry(PIV).Threeswirlcups’non-reactingflowfieldwerestudied:caseA,BandCwithsecondaryswirlervaneangle53°,60°and68°respectively.Detailedmeanandtransientvelocitiesandvorticityinthecenterplanewereobtained.FromthePIVresults,asharpcontrastflowfieldwasobtainedforcaseAtoothertwocasesduetothelowersecondaryswirlingintensity.TherecirculationzoneiscollapsedindisorderforthecaseA.Ignitiontestsofthethreecupswerecompletedinasinglecupcombustor.Ingeneral,theignitionperformanceincreaseswiththeincreasingofthesecondaryswirlingintensity.ForcaseA,theignitionperformanceisveryunstableandhasmuchrandomnessandthereisnoclearleanignitionboundarycanbegenerated.Thisworkcanfurtherunderstandtheswirlbehaviorandignitionmechanism.
简介:Wehavefoundthattheexcitedenergyfromthegroundstatewith1f7=2configurationtothefirstexcitedstatewith2p3=2configurationin37SisobviouslylowercomparedwiththatinnearbyN=21isotones35Si,39Arand41Ca(seeFig.1,Theinsertindicatestherelevantsingle-particleorbitsofprotonandneutron).ThisinterestingphenomenonmayresultfromthecollapseofN=28closure,whichgivesthesufficientvalencespaceforcollectivedeformationwhichcanbeenrevealedfromtheB(E2)value.Therefore,toobtaintheB(E2),weperformtheexperimentsformeasuringthelifetimeofthefirstexcitedstatein37S.
简介:Generalizedcase-cohortdesignhasbeenprovedtobeacost-effectivewaytoenhancetheefficiencyoflargeepidemiologicalcohort.Inthisarticle,weproposeaninferenceprocedureforestimatingtheunknownparametersinCox’sproportionalhazardsmodelingeneralizedcase-cohortdesignandestablishanoptimalsamplesizeallocationtoachievethemaximumpoweratagivenbudget.Thefinitesampleperformanceoftheproposedmethodisevaluatedthroughsimulationstudies.TheproposedmethodisappliedtoarealdatasetfromtheNationalWilm’sTumorStudyGroup.
简介:在这份报纸,我们使用任意的Riemann解答者,它不能满足Maire的要求,到Maire发展在的基于节点的Lagrangian计划[P.H。Maire等,暹罗J。Sci。Comput,29(2007),1781-1824]。特别地,我们使用所谓的多液体隧道onAveraged体积(MFCAV)Riemann解答者和适应地把MFCAV解答者与另外的更消散的Riemann解答者相结合到Maire的计划的一个Riemann解答者。任何一个二个解答者都不满足Maire的要求,这被注意。数字实验被介绍证明二个Riemann解答者的应用程序是成功的。[从作者抽象]
简介:Whenanaircraftishoveringordoingadive-hikeflightatafixedspeed,aconstantadditionalinertialforcewillbeinducedtotherotorsystemoftheaero-engine,whichcanbecalledaconstantmaneuverload.Takehoveringasanexample.AJeffcottrotorsystemwithabiasedrotorandseveralnonlinearelasticsupportsismodeled,andthevibrationcharacteristicsoftherotorsystemunderaconstantmaneuverloadareanalyticallystudied.Byusingthemultiple-scalemethod,thedifferentialequationsofthesystemaresolved,andthebifurcationequationsareobtained.Then,thebifurcationsofthesystemareanalyzedbyusingthesingularitytheoryforthetwovariables.IntheEG-plane,whereEreferstotheeccentricityoftherotorandGrepresentstheconstantmaneuverload,twohysteresispointsetsandonedoublelimitpointsetareobtained.Thebifurcationdiagramsarealsoplotted.Itisindicatedthattheresonanceregionsofthetwovariableswillshifttotherightwhentheaircraftismaneuvering.Furthermore,themovementalongthehorizontaldirectionisfasterthanthatalongtheverticaldirection.Thus,thedifferentoverlappingmodesofthetworesonanceregionswillbringaboutdifferentbifurcationmodesduetothenonlinearcouplingeffects.Thisresultlaysatheoreticalfoundationforcontrollingthestabilityoftheaero-engine’srotorsystemunderamaneuverload.
简介:Fourkeyreactions,12C(,)13O,13C(,n)16O,25Mg(p,)26Aland19F(p,)16O,willbestudiedforthefirsttimewithinorneartheastrophysicalrelevantenergyregions(Gamowwindow)atJinpingUndergroundlaboratoryforNuclearAstrophysics(JUNA)[1],whichwilltaketheadvantageoftheultra-lowbackgroundofChinaJinPingundergroundLaboratory(CJPL),highcurrentacceleratorbasedonECRsourceandahighlysensitivedetectionsystem.
简介:ForEl-Nabulsi’sfractionalBirkhoffsystem,Meisymmetryperturbation,thecorrespondingMei-typeadiabaticinvariantsandNoether-typeadiabaticinvariantsareinvestigatedinthispaper.Firstly,basedonEl-NabulsiBirkhofffractionalequations,MeisymmetryandthecorrespondingMeiconservedquantity,NoetherconservedquantitydeducedindirectlybyMeisymmetryarestudied.Secondly,Mei-typeexactinvariantsandNoether-typeexactinvariantsaregivenonthebasisofthedefinitionofadiabaticinvatiant.Thirdly,Meisymmetryperturbation,Mei-typeadiabaticinvariantsandNoether-typeadiabaticinvariantsforthedisturbedEl-Nabulsi’sfractionalBirkhoffsystemarestudied.Finally,twoexamples,Hojman-UrrutiaproblemforMei-typeadiabaticinvariantsandanotherfortheNoether-typeadiabaticinvariants,aregiventoillustratetheapplicationoftheresults.
简介:PlanarringresonatorwaveguidesarefabricatedinthinfilmsofAs2S3chalcogenideglass,depositedonsilicaon-siliconsubstrates.WaveguidecoresaredirectlywrittenbyscanningthefocusedilluminationofafemtosecondTi:sapphirelaseratacentralwavelengthof810nm,throughatwo-photonphoto-darkeningprocess.Alargephotoinducedindexchangeof0.3–0.4refractiveindexunitsisobtained.Theradiusoftheringresonatoris1.9mm,correspondingtoatransmissionfreespectralrangeof9.1GHz.Ahighloaded(intrinsic)Qvalueof110,000(180,000)isachieved.Thethermaldependenceoftheresonatortransferfunctionischaracterized.Theresultsprovidethefirstreport,tothebestofourknowledge,ofdirectlywrittenhigh-Qringresonatorsinchalcogenideglassfilms,anddemonstratethepotentialofthissimpletechniquetowardsthefabricationofplanarlightguidecircuitsinthesematerials.
简介:为综合的一条non-isocyanate线路有优秀热、机械的性质的热塑的聚氨酯被描述。与四个聚乙烯乙二醇木钉融化1,6-bishydroxyethyloxy羰基aminohexane的transurethanepolycondensation,即PEG400,PEG600,PEG1000,或PEG1500,在不同臼齿的比率被进行。有长木钉序列的一系列热塑的polyetherurethanesTPEU被准备。TPEU经由胶化浸透层析被描绘,FTIR,<啜class=“a-plus-plus”>1H-NMR,微分扫描热量测定,thermogravimetric分析,散布的宽角度的X光检查,和张力的测试。TPEU展览T<潜水艇class=“a-plus-plus”>在12.4汦灡之间的g?