简介:Inthispaper,weshowthatnewmodifieddoublecosinetrigonometricsumsintroducedin[1]areinappropriate,theclassofdoublesequencesJdintroducedthereisunusableforsuchsumsandconsequentlytheresultsobtainedinitarecompletelyincorrect.WehereintroduceappropriatemodifieddoublecosinetrigonometricsumsmakingtheclassJdusableconsideringaparticulardoublecosinetrigonometricseries.
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:.Thesingle2dilationorthogonalwaveletmultipliersinonedimensionalcaseandsingleA-dilation(whereAisanyexpansivematrixwithintegerentriesand|detA|=2)waveletmultipliersinhighdimensionalcasewerecompletelycharacterizedbytheWutamConsortium(1998)andZ.Y.Li,etal.(2010).Butthereexistnomoreresultsonorthogonalmultivariatewaveletmatrixmultiplierscorrespondingintegerexpansivedilationmatrixwiththeabsolutevalueofdeterminantnot2inL2(R2).Inthispaper,wechoose2I2=(2002)asthedilationmatrixandconsiderthe2I2-dilationorthogonalmultivariatewaveletY={y1,y2,y3},(whichiscalledadyadicbivariatewavelet)multipliers.Wecallthe3×3matrix-valuedfunctionA(s)=[fi,j(s)]3×3,wherefi,jaremeasurablefunctions,adyadicbivariatematrixFourierwaveletmultiplieriftheinverseFouriertransformofA(s)(cy1(s),cy2(s),cy3(s))?=(bg1(s),bg2(s),bg3(s))?isadyadicbivariatewaveletwhenever(y1,y2,y3)isanydyadicbivariatewavelet.Wegivesomeconditionsfordyadicmatrixbivariatewaveletmultipliers.TheresultsextendedthatofZ.Y.LiandX.L.Shi(2011).Asanapplication,weconstructsomeusefuldyadicbivariatewaveletsbyusingdyadicFouriermatrixwaveletmultipliersandusethemtoimagedenoising.
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:本文在L_p(1≤p〈∞)空间上,研究了种群细胞增生中一类具扰动项的一般边界条件下的L-R模型,给出了这类模型相应的迁移方程解的渐近行为等结果.
简介:样品用盐酸-硝酸-氢氟酸-高氯酸密闭分解,加入硫酸至冒烟,冷却后制备成硝酸介质溶液,使用电感耦合等离子体质谱(ICP-MS)法测定La,Ce,Pr,Nd,Sm;用过氧化钠熔融分解,水提取沉淀分离,沉淀用硝酸溶解,使用ICP-MS法测定Y,Eu,Gd,Tb,Dy,Ho,Er,Tm,Yb,Lu。根据岩石标准物质的分析结果评价方法的准确度和精密度。方法检出限(6σ)为0.002~0.021μg/g,相对标准偏差(n=12)为1.2%~9.6%,方法可用于批量岩石中稀土元素的测定。
简介:Wehavefoundthattheexcitedenergyfromthegroundstatewith1f7=2configurationtothefirstexcitedstatewith2p3=2configurationin37SisobviouslylowercomparedwiththatinnearbyN=21isotones35Si,39Arand41Ca(seeFig.1,Theinsertindicatestherelevantsingle-particleorbitsofprotonandneutron).ThisinterestingphenomenonmayresultfromthecollapseofN=28closure,whichgivesthesufficientvalencespaceforcollectivedeformationwhichcanbeenrevealedfromtheB(E2)value.Therefore,toobtaintheB(E2),weperformtheexperimentsformeasuringthelifetimeofthefirstexcitedstatein37S.