简介：ByapplyingaresultfromgeometricGoppacodes,duetoH.Schtenoth,thetruedimensionofcertainalternantcodesiscalculated.Theresultsleadinmanycasestoanimprovementoftheusuallowerboundforthedimension.

简介：Wegiveanestimateoftypesup×infonRiemannianmanifoldofdimension4foraYamabetypeequation.

简介：让G=(V(G)，E(G))有顶点的一张图被给V(G)和边集合E(G)。为二不同顶点x和图G的y，让R<潜水艇class=“a-plus-plus”>G{x,y}表示顶点z的集合以便到z的从x的距离不等于从y的距离到在G的z。为在V(G)上并且为UV(G)定义的功能g，让g(U)=<潜水艇class=“a-plus-plus”>sUg。真实值的功能g：V(G)[0，1]如果，是G的解决的功能g(R<潜水艇class=“a-plus-plus”>G{x,y})1为任何二不同顶点x，yV(G)。部分公制的尺寸暗淡<潜水艇class=“a-plus-plus”>图G的f(G)是min{g(V(G))：g是G的解决的功能}。让G<潜水艇class=“a-plus-plus”>1和G<潜水艇class=“a-plus-plus”>2拆散图G的拷贝，并且让：V(G<潜水艇class=“a-plus-plus”>1)V(G<潜水艇class=“a-plus-plus”>2)是bijection。然后，排列图G=(V，E)顶点给了V=V(G1)V(G2)和边给了E=E(G1)E(G2){uv|v=(u)}。首先，我们为任何树T决定dimf(T)。我们显示出那\(1for任何东西连接了顺序的图G至少3，在S(G)表示G的支持顶点的集合的地方。我们也显示出那，为任何>0，在那里存在排列图G以便暗淡f(G)-1h1以便暗淡f(G)h1(dimf(G为所有对的))(G，)，也不在那里功能h

简介：Theproblemof“strungballs”,whichconsidershowmanycirclesinagivenfamilyofcirclescanbeintersectedbyalineinaplane,isdiscussedinR^n(n≥3).Higherdimensionalversionsoftheresultsgivenonaplaneareobtained.

简介：-Thispaperdiscussestheapplicationoffractaldimensionandfractalsinoceanengineering.Tohandlesomeoceanenvironmentproblems,theexistingfractalmethod,inwhichthefractaldimensionisaconstant,canbeused.Forsomecomplicatedproblemsinoceanengineering,thispaperpresentstheconceptofthevariabledimensionfractals(D=f(r)),i.e.,thefractaldimensionDisthefunctionofcharacteristicscalerinsteadofaconstant.Byusingvariabledimensionfractals,severaldeformationandstressstatesofoffshorestructuresaredescribed.

简介：LetW~{W(t);t∈RN+}bethed-dimensionalN-parameterBrownianSheet.SufficientconditionsforacompactsetFRd\{0}tobeapolarsetforWareproved.Itisalsoprovedthatif2N≤d,thenforanycompactsetER＞N,inf{dimF:F∈B(Rd),P{W(E)∩F≠φ}＞0}=d-2DimE,andif2N＞d,thenforanycompactsetFRd\{0},inf{dimE:E∈B(R＞N),P{W(E)∩F≠φ}＞0}=d/2DimF/222,whereB(Rd)andB(RN＞)denotetheBorelσ-algebrainRdandR＞Nrespectively,anddimandDimareHausdorffdimensionandPackingdimensionrespectively.

简介：ThispapergivestheintrinsiccharacteroftheclassificationforAF-algebrasdefinedbyJ,CuntzandG.K.Pedersenintermsoftheirdimensiongroups.

简介：Inthispaper,weconstructaclassofnowheredifferentiablecontinuousfunctionsbymeansoftheCantorseriesexpressionofrealnumbers.Theconstructedfunctionsincludesomeknownnondifferentiablefunctions,suchasBushtypefunctions.Thesefunctionsarefractalfunctionssincetheirgraphsareingeneralfractalsets.Undercertainconditions,weinvestigatethefractaldimensionsofthegraphsofthesefunctions,computetheprecisevaluesofBoxandPackingdimensions,andevaluatetheHausdorffdimension.Meanwhile,theHoldercontinuityofsuchfunctionsisalsodiscussed.

简介：<正>Inthispaper.wegivecharacterizationsofNashinequalitiesforbirth-deathprocessanddiffusionprocessontheline.Asaby-product.weprovethatfortheseprocesses.transienceimpliesthatthesemigroupsP（t）decayas‖P（t）‖1--x≤Ct-1.SufficientconditionsforgeneralMsrkovchainsarealsoobtained.

简介：Atwo-dimensionalpositionsensitiveparauel-plateavalanchecounter(PPAC)witha100mm×100mmactiveareaisdevelopedfortheRadioactiveIon-BeamLineinLanzhou(RIBLL).ThedetectorconsistsofoneanodeplaneandtwocathodeswireplaneswhicharestripplanesforthePPACsusedinRIKEN~[1].TheanodeisaMylarfoilcoatedwithathinlayerofgoldoneachside.ThecathodeplanesXandYaremadeofgold-

简介：ThispaperdefinestheuppercapacitydensitiesofthesubsetsofR^n,getsuniformlowerboundoftheuppercapacitydensitiesforH^s-almostallpointsoftheHausdorffs-setsortheanalyticsetswithHausdorffdimensionsinR^n,whichimprovestheresultsofWenZhiyingandZhangYiping'spaperin[1].

简介：

简介：鬼力量引起的错误在二种尺寸与平面接口为一个quasicontinuum方法被学习。为一种特殊情况，我们导出错误的分析表情，它被利用证明鬼力量可以为答案的坡度导致一个有限尺寸错误。错误指数地为腐烂离开接口的错误代数学地腐烂离开接口的错误表演的pointwise估计，比onedimensional问题的慢得多，。

简介：在这份报纸，我们构造从周期的功能g放大功能和小浪的二尺寸的周期的interpolatory(x1，x2)，其Fourier系数是积极的，并且获得可伸缩的一些性质，工作并且小浪。

简介：Inthispaper,westudytherelationbetweentheenergyspectrumexponentofturbulenceandfractaldimension,andgivetwoempiricalformulas.

简介：这份报纸在线和其生成器承认空必要系列的出生鈥揹eath进程上为散开进程给描述。为为一般Markov发电机的空必要系列的一些相等的条件也被讨论。关键词Markov生成器-必要光谱-紧缩的嵌入-强壮的鈥搕ype不平等先生(2000)题目分类46E35-60J60-RFDP(号码2001002707)部分地支持的60J75研究，973工程，和NSFC(号码10121101)

简介：

简介：LetFλ={x∈(0,1){2nx}≥1/2k,n∈z+},z++={0,1,2,3,...},k∈N;F=U∞k=1Fλbeadecimalsetin(0,1),where{2nx}isthefractionalpartofanumber2nx.Inthisnote,weprovethatdirnнF=1andН1(F)=0,wheredimнisHausdroffdimension,andН1(F)istheHausdorffmeasureofF.

简介：ThepresentpaperinvestigatesthefractalstructureoffractionalintegralsofWeierstrassfunctions.Theexactboxdimensionforsuchfunctionsmanyimportantcasesisestablished.Weneedtopointoutthat,althoughtheresultitselfachievedinthepresentpaperisinteresting,thenewtechniqueandmethodshouldbeemphasized.ThesenovelideasmightbeusefultoestablishtheboxdimensionorHausdorffdimension(especiallyforthelowerbounds)formoregeneralgroupsoffunctions.

简介：Inthispaper,wegivetheholomorphicautomorphismgroupofthehigher-dimensionalgeneralizationofThullendomain.