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380 个结果
  • 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: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
  • 简介:Themonomericcobalt-phosphite-thiolatocomplex[Co(mpt)2{P(OCH3)3}2]BF4(Hmpt=2-mercaptothiazoline)hasbeenpreparedandcharacterizedbyX-raycrystallography.ThecomplexcrystallizesinthemonoclinicspacegroupC2/cwitha=0.8078(5),b=2.6020(18),c=1.2191(7)nm,β=99.38(1)°,V=2.528(3)nm3,andZ=4.Thestructurecomprisesdiscretecations[Co(mpt)2{P(OCH3)3}2.]+andanionsBF4-,inwhichthecobalt(Ⅲ)atomiscoordinatedtotwochelatempt-andtwoas-orientedmonodentateP(OCH3)3ligandsinahighlydistortedoctahedralgeometry.ThemostdistortedanglesareS(2)-Co(1)-S(2a)of162.23(10)°andN(1)-Co(1)-S(2)of71.47(13)°,thelatteriscausedbythegeometricconstraintofthebidentateligandmpt-.CyclicvoltammetryhasbeenusedtostudytheelectrochemicalbehaviorofthetitlecomplexontheRelectrodeinMeCNsolutionwith0.1mol·L-1ofBun4NBF4aselectrolyte.TheresultsindicatethatthetitlecomplexisunstableinMeCN.

  • 标签: Cobalt(III) complex 2-mercaptothiazoline trimethylphosphite crystal structure
  • 简介:引进分次Armendariz环的概念,讨论了分次环R=n∈ZRn及由它导出的非分次环R,R0,及R[x]之间关于Armendariz环性质的关系,并推广了[8]的结论,得到在R=n∈ZRn是Z-型正分次环的前提下,若R是分次Armendariz,分次正规环,则R是P.P.环(Baer环)当且仅当R是分次P.P.环(分次Baer环).

  • 标签: 分次Armendariz环 分次P.P.环 分次Baer环 分次正规环
  • 简介:在Г-环中定义P-根,次P-根与拟P-根的概念,讨论它们的性质及相互间的关系.给出了次P-根的构造,证明了对Г-环的任一代数性质P,总可确定两个Amitsur-Kurosh根.同时,对Г-环的几个具体根的研究做了统一.拓广了Г-环根理论的研究领域.

  • 标签: 拓广 代数性质 证明 构造 具体 研究领域
  • 简介:SomecharacterizationsoftheconditionalexpectationoperatorsonLebesgue-BochnerspacesL_p(μ,X)aregiven,where1≤p<∞,p≠2.AlsoanexampleisgiventoshowthatthecharacterizationsoftheconditionalexpectationoperatorsonL_p(μ,X)aredifferentfromthatonL_p(μ)_zFinally,arepresentationoftheconstant-preservingcontractiveprojectiononspacesL_p(μ,X)isgotwhen0<p<1.

  • 标签: preserving EXPECTATION OPERATORS Radon CONDITIONAL LEBESGUE
  • 简介:ONTHECLASSφ_~*(α,β,γ,ε,η;A)ofp-VALENTFUNCTIONSWITHREFERENCETOTHEBERNARDIINTEGRALOPERATORJianMing(蹇明)(WuhanUniversity,Wuhan430...

  • 标签: CLASS OPERATOR THEBERNARDI ON FUNCTIONS INTEGRAL
  • 简介:<正>LetD={z∈:|z|<1}andφbeanormalfunctionon[0,1).Forp∈(0,1)suchafunctionφisusedtodefineaBergmanspaceA~p(φ)onDwithweightφ~p(|·|)/(1-|·|~2).Inthispaper,thedualspaceofA~p(φ)isgiven,fourcharacteristicsofCarlesonmeasureonA~p(φ)areobtained.Moreover,asanapplication,threesequenceinterpolationtheoremsinA~p(φ)arederived.

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  • 简介:<正>Foranyintegersa1,a2,a3,a4andcwitha1a2a3a40(modp),thispapershowsthatthereexistsasolutionX=(x1,x2,x3,x4)∈Z4ofthecongruencea1x12+a2x22+a3x32+a4x42≡c(modp)suchthat‖X‖=max{|x1|,|x2|,|x3|,|x4|}《p1/2logp.

  • 标签: CHARACTER SUMS CONGRUENCES
  • 简介:Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||p||.ItisawellknownopenproblemtoobtaininequalityanalogoustoBernstein’sinequalityfortheclassIInofpolynomialssatisfyingp(z)≡znp(1/z)HereweobtainaninequalityanalogoustoBernstein’sinequalityforasubclassofIInOurresultsincludeseveraloftheknownresultsasspecialcases.

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  • 简介:Theoptimalconditionsforthecomplexationreactionofmeso-tetra(3-methoxy-4-hy-droxyphenyl)porphineT(3-M-4HP)Pwithplatinumandrhodiumarepresented.Beer’sLawisobeyedwhentheconcentrationofrhodiumisintherangeof0.45-1.15μg/25mL.Themolarabsorptivityofrhodiumwasfoundtobe1.99×106L·mol-1·cm-1at460nm.ThevalueofεPtwasfoundtobe6.28×105L·mol-1·cm-1bylinearregressionmethod.TheKcoefficientmethodandcompensatingcoefficientwereusedtodetermineplatinumandrhodiumsimultaneoulywithoutremovalormaskingoftheinterferentsinthesample.Theresultsforthedeterminationofplatinumandrhodiuminthemixedsolutionofplatinumandrhodiumaresatisfactory.

  • 标签: PLATINUM RHODIUM Spectrophotonletry Meso-tetra(3-M-4HP)P.
  • 简介:RemanspectroscopyisusedasatooltomonitorthereactionbetweenN,N’-di(pmethyl)monothioxamidesand1,3-diaminetrimethyleneandtodetectthereactionintermediate.Byobservingchangesof1024cm-1C=Sbandandappearanceofanewbendataround1720cm-1,thereactionmechanismisdiscussed.

  • 标签: appearance monitor DIAMINE observing FIGURE minutes
  • 简介:InthispaperwestudytheconvergencenfaclassofmeansonHp(G)(0<p<1),themeanstaketheBochner-Rieszmeansin[1],thegeneralizedBochner-Rieszmeansin[2],andtheoperatorsTΦrin[3]asspecialcases.Weobtainweak-typeestimatesfortheassociatedmaximaloperatorsandthemaximalmeanboundednessforthemeans.

  • 标签: operators maximal RIESZ CLASS estimates singular
  • 简介:FIRSTORDERQUASILINEAREQUATIONSINSEVERALINDEPENDENTVARIABLESWITHSINGULARINITIALDATAL~(P<∞)¥(赵会江)ZhaoHuijiang(YoungScientistLa?..

  • 标签: SINGULAR INITIAL DATA QUASILINEAR EQUATIONS global
  • 简介:p-ω-低亚硫酸钠正常操作员的近似的点光谱性质被给并且证明。事实上,它是ω-低亚硫酸钠正常操作员的近似的点光谱性质的归纳。系列的关系和p-ω-低亚硫酸钠正常操作员的数字范围被获得。为p-ω-低亚硫酸钠正常操作员T,在另一方面,如果T是正常的,那么,T也是正常的,这被显示出。

  • 标签: 亚正规算子 近似点谱 值域 HILBERT空间 线性算子
  • 简介:ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.

  • 标签: deals operators finding INTEGRABLE proof N p)OPERATOR
  • 简介:WeuseMnforthesetofalln×nrealmatrices;(n)for{1,…,n};Snforthesymmetricgroupon〈n〉;A[α]α∈P)-matrix,ifeachprincipalminorofitisnonnegative(positive);A∈Mnistotallynonnegativeifallitsminorsofallordersarenonnegative.ItisknownthatifA=(αij)∈Mnisapositivesemidefinitesymmetricmatrix,oranM-matrixoratotallynonnegativematrix,thenAsatisfiesFischer’sInequality:

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