简介:<正>Inthispaper,wedealwiththeproblemofuniquenessofentireormeromorphicfunctionsandobtainsomeresultsthatareimprovementsoverthoseofM.Ozawa,H.Ueda,K.ShibazakiandYiHongxun.Anexampleshowsthattheresultsinthispaperaresharp.
简介:Letfbeanonconstantentirefunction;letk≥2beapositiveinteger;andletabeanonzerocomplexnumber.Iff(z)=af′(z)=a,andf′(z)=af~(k)(z)=a,theneitherf=Ce~(λz)+aorf=Ce~(λz)+a(λ-1)/λ,whereCandλarenonzeroconstantswithλ~(k-1)=1.TheproofisbasedontheWiman-Valirontheoryandthetheoryofnormalfamiliesinanessentialway.
简介:Inthispaper,weobtainsomeexistenceresultsforaclassofsingularsemilinearellipticproblemswhereweimprovesomeearlierresultsofZhijunZhang.WeshowtheexistenceofentirepositivesolutionswithoutthemonotonicconditionimposedinZhang'spaper.Themainpointofourtechniqueistochooseanapproximatingsequenceandproveitsconvergence.ThedesiredcompactnesscanbeobtainedbytheSobolevembeddingtheorems.
简介:ThevaluedistributionofentirefunctionsdefinedbyDirichletseriesarestudiedinthispresentarticle.ItisprovedthatentirefunctionsdefinedbyDirichletserieshavethepitsproperty,whichimprovetherelativeresultsonlacunaryTaylorseriesobtainedbyLittlewoodJ.E.andOffordA.C.
简介:<正>Letf(z)beanentirefunctionoforderλandoffinitelowerorderμ.Ifthezerosoff(z)accumulateinthevicinityofafinitenumberofrays,then(a)λisfinite;(b)foreveryarbitrarynumberk1>1,thereexistsk2>1suchthatT(k1r,f)≤k2T(r,f)forallr≥r0.Applyingtheaboveresults,weprovethatiff(z)isextremalforYang’sinequalityp=g/2,then(c)everydeficientvalueoff(z)isalsoitsasymptoticvalue;(d)everyasymptoticvalueoff(z)isalsoitsdeficientvalue;(e)λ=μ;(f)∑a≠∞δ5(a,f)≤1-k(μ).
简介:Inthispaper,wemainlyinvestigateentiresolutionsofcomplexdifferentialequationswithcoefficientsinvolvingexponentialfunctions,andobtainthedynamicalpropertiesofthesolutions,theirderivativesandprimitives.Withsomeconditionsoncoefficients,forthesolutions,theirderivativesandtheirprimitives,weconsiderthecommonlimitingdirectionsofJuliasetandtheexistenceofBakerwanderingdomain.
简介:Themainpurposeofthispaperistostudytheproblemsontheexistenceofalgebraicsolutionsforsomesecond-ordercomplexdifferentialequationswithentirealgebraicfunctionelementcoefficients.Severaltheoremsontheexistenceofsolutionsareobtained,whichperfectthesolutiontheoryoflinearcomplexdifferentialequations.
简介:Theentirerollerinlayedblockintelligencecoldstripshapemeterisdevelopedsuccessfullyinthispaper,whichcanstablyworkchronicallyinthecoldrollingworkshop,theindependentinnovationofthekeytechnologyofcoldstripshapemeasuring,theforeigntechnicalmonopolyandblockadearebrokenthrough.Thestructuralformwhichisdifferentfromtheinternationalpopularsegmenteddetectionrollerisputforward,theentiredetectionrollerinlayedblockisdeveloped,agroupofelasticblocksinthatthesenseorgansareinstalledareinlayedintheradialsymmetryrectangulargroovesofthedetectionrollerbody,theentirerollerstructureiscomposedofelasticpiecesandtherollerbody,thescratchofthestripsurfaceduetodifferentthermalexpansionofthetraditionaldetectionrollermeasuringunitisavoidedeffectively.Thesignaltransmissionformwhichisdifferentformtheinternationalpopulardryslipringisputforward,thespraywetslipringisdeveloped,slipringanddetectionrollercanbetakendownandinstalledaspossiblyasfast,sothemaintainisconvenient,whilethroughthesectionauto-spraycleaning,lubricationandcooling,theservicelifeisremarkableimprovedandtheoutsideinterferencesignalisreduced.Thesignalprocessingformwhichisdifferentformtheinternationalpopulargatheringcardisputforward,theembeddedDSPshapesignalprocessinghardwaresystemisdeveloped,theelectromagnet,temperature,humidityandvibration’sinterferenceofindustrypracticetoshapetransmissionsignalcanbeeffectivelyavoided,whichcanguaranteetheinstantaneityandmeasuredprecisionofshapemeasuredsignal.Theshapesignalprocessingsoftwaresystemwhosefunctioncontainserrorcompensation,patternrecognition,establishmentofthetargetshapeandtheclosed-loopcontrolcalculationisbuilt,theshapemeter’computerhumaninteractionisfriendly,andfunctionofshapemeterisstrong,atthesametimetheintellectualizedleveloftheshapemeterisimproved.Now,thi
简介:这篇论文论述一个多模式控制计划为一软开关回扫在全部负担上完成高效率和优秀负担规定的变换器变化。在重负担,有山谷切换的批评传导模式(CCMVS)被采用认识到以便象进行的电磁的干扰(EMI)一样减少刺激电源损耗开关的软切换。在轻负担,变换器与山谷切换和适应离开时间控制(AOT)限制切换的频率值域,频数值域和maintain负担规定在不连续的传导模式(DCM)操作。在极其轻的负担或在待机模式,爆炸模式操作被采用通过减少两个都切换的频率和控制器的静态的力量驱散提供低动力消耗量。多模式控制被其脉搏持续时间被产量反馈调整的一个振荡器实现。切换的控制电路保证力量的最小的刺激电压落下得到的一条精确山谷切换。控制器IC的原型在一个1.5-μmBiCMOS过程被制作并且适用于310V/20V,90W回扫DC/DC变换器电路。试验性的结果证明所有期望的功能成功地被认识到。flyback变换器完成了从完整的负担的超过80%的效率击倒到2.5W的高度,与到达88.8%的最大值,当在待机模式的总功率消费是大约300mW时。