简介:TheauthorsmainlyconcernthesetUfofc∈Csuchthatthepowerdeformationzf(z)/zcisunivalentintheunitdisk|z|<1foragivenanalyticunivalentfunctionf(z)=z+a2z2+···intheunitdisk.ItisshownthatUfisacompact,polynomiallyconvexsubsetofthecomplexplaneCunlessfistheidentityfunction.Inparticular,theinteriorofUfissimplyconnected.Thisfactenablesustoapplyvariousversionsoftheλ-lemmafortheholomorphicfamilyzf(z)/zcofinjectionsparametrizedovertheinteriorofUf.ThenecessaryorsufficientconditionsforUftocontain0or1asaninteriorpointarealsogiven.
简介:Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||
简介:ThispaperdealswithanexperimentalinvestigationofpinfinboilingofsaturatedandsubcooledHFE-7100underatmosphericpressure.Finbasetemperatureandheatfluxdataaremeasuredalongwiththefintiptemperature.ThebasicfeaturesofboilingstabilityofHFE-7100boilingonpinfinhadbeenreportedforthefirsttime.Foragivenliquid/heatingsurfacecombinationthereexistuppersteady-state(USS)branchandlowersteady-state(LSS)branch,andalarge,unstableregimelocatedinbetween.Zoneswithdifferentstabilitycharacteristicsaremappedaccordingtoboilingonfinswithdifferentaspectratios.Liquidsubcoolingcanlargelyenhanceheattransferperformance.Alongerfincanprovideasaferoperation.
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简介:Itiswellknownthateveryprimeidealminimaloveraz-idealisalsoaz-ideal.TheconverseisalsowellknowninC(X).ThuswheneverIisanidealinC(X),thenI~(1/2)isaz-idealifandonlyifIis,inwhichcaseI~(1/2)=I.Weshowthesamefactforz~o-idealsandthenitturnsoutthatthesumofaprimaryidealandaz-ideal(z~o-ideal)inC(X)whicharenotinachainisaprimez-ideal(z~o-ideal).Wealsoshowthateverydecomposablez-ideal(z~o-ideal)inC(X)istheintersectionofafinitenumberofprimez-ideals(z~o-ideal).Somecounter-examplesingeneralringsandsomecharacterizationsforthelargest(smallest)z-idealandz~o-idealcontainedin(containing)anidealaregiven.
简介:Inthispaper,firstwepresentacharacterizationofsemiconvergencefornonnegativesplittingsofasingularZ-mattix,whichgeneralizesthecorrespondingresultof.Second,acharacterizationofconvergenceforL1-regularsplittingsofasingularE-matrixisgiven,whichim-provetheresuhof[3].Third,convergenceofweaknonnegativesplittingsandregularsplittingsisdiscussed,andweobtainsomenecessaryandsufficientconditionssuchthatthesplittingsofaZ-matrixconverge,
简介:Heattransferinpassagewithpin-finarraysforcoolingbladetrailingedgewasstudiednumerically.Three-dimensionalnumericalsimulationswerecarriedoutforsteadylaminarflowinpassageswithdifferentwedgeanglesbetweenpressuresurfaceandsuctionsurfaceofcoolingbladetrailingedgetostudytheeffectofdifferentwedgeangles(from0°to30°)onheattransferandpressurelosses.Researchwascarriedoutforbothin-linearrayandstaggeredarray.Fromthisinvestigation,wedgeangle10°givesthebestheattransferperformance.
简介:在射弹影响下面的结束大头针的横梁的违反直觉的行为在这篇论文与ANSYS/LS-DYNA被调查。它详细学习theirdisplacement时间历史曲线,最后的使变形的形状,精力关系和射弹影响与他们的违反直觉的行为有关的速度范围。他们的违反直觉的行为上的影响位置的影响也被讨论。结果显示出那不管横梁上的影响位置在哪儿,只要影响速度躺在一个合适的范围以内,卡住的横梁的违反直觉的行为将发生。相应于thecounter直觉的行为发生,在横梁的排水量历史曲线的反弹的数字随影响速度的增加从一些时间减少到零。相应于违反直觉的行为的横梁的最后的变丑模式将出现在对称的andunsym韵律的形式不管影响位置在哪儿;横梁的违反直觉的行为的发生thefirst的影响速度与影响位置的偏差慢慢地增加离开中间跨度。
简介:MakinguseoftheZ2×Z2symmetry,wecouldstudythestructurenearmultipleS-treakingturningpoints.Inparticular,weshowthatthereexisttwokindsofsingularpointpaththroughdoubleSbreakingturningpointsandtripleSbieakingturningpoints,onetsquadraticturningporntpathandoneisquadraticpitchforkbifurcationpointpath.SomesimpleregularextendedsystemstocornputedoubleandtripleS-breakingturningpointsareproposed.Numericalexamplesarealsogreen
简介:ANINTERSECTIONPROPERTYOFTHESIMPLERANDOMWALKSINZ ̄dZHOUXIANYIN(DepartmentofMathematics,BeijingNormalUniversity100875,China)Abst...