学科分类
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476 个结果
  • 简介:证明了指数型超椭圆方程x^2=p^2m-p^m+n+1无解(x,p,m,n),其中x,m,n∈N^+,m〉n〉1,pP.上述结果部分解决了组合论中关于可逆Abel差集的Ma猜想.

  • 标签: 指数型超椭圆方程 正整数解 PELL方程
  • 简介:组G的Wielandt亚群,由w(G)表示了,是G的所有低于正常的亚群的normalizers的交叉。在这份报纸,作者为每整数i为最大的班G,为所有整数i的任何一个wi(G)=i(G)或wi(G)=i+1(G)的p组显示出那,并且为在有K1的G的每正常亚群K的w(G/K)=(G/K)。同时,为最大的班的常规p组的一个必要、足够的条件令人满意的w(G)=2(G)被给。最后,如果G是有基本z(G)的non-abelianp组,作者证明力量自守组PAut(G)是基本abelianp组?\mho1(G)\zeta(G)\cap\mho_1(G)。

  • 标签: WIELANDT不等式 P-群 次正规子群 极大 充分必要条件 无线网络
  • 简介:让Sq-1,q≥2,联合起来的范围的表面在欧几里德几何学的spaceRq,f(x)∈Lp(Sq-1),f(x)≥0,f吗?0,1≤p≤+∞。然后,它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f,吗δ)Lp=sup_(0

  • 标签: 球面调和函数 近似值 倒数多项式 平移算子 EUCLIDEAN空间
  • 简介:本文用较为简便的方法推导出一元及n元─范分布的密度函数,研究了n元,—范分布的几个性质.

  • 标签: p─范数 p─范分布
  • 简介:P1(G)是指这样的图:G中的所有k路作为P1(G)的顶点集,两个不同的顶点在Pk(G)中邻接当且仅当它们所对应的两条k路的并为G中的(k+1)路或k圈,那么,完美图猜想对于路图P3(G)是成立的。

  • 标签: 顶点集 邻接 猜想 对应 成立 完美
  • 简介:Letfibeaboundedsmoothdomain.Inthispaper,theauthorsdefinetheBesovspacesBpa,pon,establishtheatomicdecompositionofthesespaces,andobtaintheregularityestimateoftheDirichletproblemandtheNeumannproblemfortheLaplaceoperatoronthesespaces.

  • 标签: Atom decomposition CALDERON-ZYGMUND OPERATOR Laplace OPERATOR
  • 简介:我们称一个定义在Banach空间E上的连续凸函数f具有Frechet可微性质(FDP),如果E上的每个实值凸函数g≤f均在E的一个稠密的Gδ-子集上Frechet可微.本文主要证明了:对任何Banach空间E,均存在一个局部凸的相容拓扑p使得1)(E,p)是Hausdorff局部凸空间;2)E上的每个范数连续具有FDP的凸函数均是p-连续的;3)每个p-连续的凸函数均具有FDP;4)p等价某个范数拓扑当且仅当E是Asplund空间.

  • 标签: Frechet可微性 BANACH空间 局部凸空间 凸函数 范数 P-连续
  • 简介:Inthispaper,thep-versionofthefiniteelementmethodoflines(FEMOL)fortheanalysisoftheMindlin-Reissnerplatebendingproblemsispresentedandaclassofp-FEMOLelementswithpolynomialdegreesashighasnineisdeveloped.Numericalexamplesgiveninthispapershowtremendousperformanceofthepresentmethod;namely,rapidconvergencerate,highaccuracyforbothdisplacementsandstressresultants,removalofshear-lockingtrouble,capabilityofdealingwithdifficultproblemssuchastheboundarylayerbehaviornearafreeedgeandstressconcentrationaroundahole.

  • 标签: FEMOL
  • 简介:THEREACTIONOFp-NITROPHENYLSULFONYLACETONITRILEWITHα,β-UNSATURATEDESTERSANDNITRILES¥GuoRenYUEandZhengZhang(DepartmentofChemist...

  • 标签:
  • 简介:Inthispaper,wesolvethequadraticp-functionalinequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)whereρisafixedcomplexnumberwith|ρ|<1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)whereρisafixedcomplexnumberwith|ρ|<1/2.Usingthedirectmethod,weprovetheHyers-Ulamstabilityofthequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspacesandprovetheHyers-Ulamstabilityofquadraticρ-functionalequationsassociatedwiththequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspaces.

  • 标签: 复巴拿赫空间 不等式 直接方法 稳定性 l方程 二次型
  • 简介:Inthisstudy,weinvestigatetheinfluenceofdopingonthechargetransferanddevicecharacteristicsparametersinthebulkheterojunctionsolarcellsbasedonpoly(3-hexylthiophene)(P3HT)andamethanofuUerenederivative(PCBM).Organicsemiconductorsarealsoknowntobenotpureandtheyhavedefectsandimpurities,someofthemarebeingchargedandactasp-typeorn-typedopants.Calculationsofthesolarcellcharacteristicsparametersversusthep-dopinglevelhavebeendoneatthreedifferentn-dopings(N_d)thatconsistof5×10~(17)cm~(-3),10~(18)cm~(-3),and5×10~(18)cm~(-3).Weperformtheanalysisofthedopingconcentrationthroughthedrift-diffusionmodel,andcalculatethecurrentandvoltagedopingdependency.Wefindthatatthreedifferentn-dopantlevels,optimump-typedopingisaboutN_p=6×10~(18)cm~(-3).Simulationresultshaveshownthatbyincreasingdopinglevel,V_(oc)monotonicallyincreasesbydoping.CellefficiencyreachesitsmaximumatsomewhathigherdopingasFFhasitspeakatN_p=3×10~(18)cm~(-3).Moreover,thispaperdemonstratesthattheoptimumvalueforthep-dopingisaboutN_p=6×10~(18)cm~(-3)andoptimumvalueforn-dopantisN_d=10~(18)cm~(-3),respectively.Thesimulatedresultsconfirmthatdopingconsiderablyaffectstheperformanceoforganicsolarcells.

  • 标签: 有机太阳能电池 掺杂剂 异质结 聚合物 基质材料 模拟
  • 简介:Thecopolymerizationofp-diethynylbenzene(PDEB)withphenylacetylene(PhA),4,4’-diethynylbiphenyl(DEBP)orm-diethynylbenzene(MDEB)arestudiedbyvaryingmoleratiosofmonomers.WhenthemoleratiosofPDEB/PhAarelessorequalto1/5,thecopolymersaresolubleandfusible,buttheothercopolymersareinsolubleandinfusible.Theresultsshowthatthegoodsolventofcross-linkedcopolymersisbenzeneandtheirsolubilityparameteris9.15cal0.5.cm(-1.5).Andtheirswellability(θp),Hugginsparameter(χ),density(d425)andtheaveragemolecularweightsbetweencrosslinks(c)aremeasured.Itisfoundthatθpandcofcopolymersaregreaterbutd425islessthanthatofrespectivehomopolymers.IRspectrashowthatthecopolymershavetransoidconfigurationandsmallnumberofunreactedethynylgroupsexistinthecopolymers.Themechanismaboutthepolymerizationoracetylenicderivativesinitiatedby(Ph3P)2PdCl2isdiscussed.

  • 标签: p-Diethynylbenzene PHENYLACETYLENE 4 4’-Diethynylbiphenyl m-diethynylbenzene