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1.
设K是Banach空间E中非空闭凸集.{Ti}i-1^N是K中具公共不动点集F=∩i-1^NF(Ti)的Lipschitz映像族,其中F(Ti)=(x∈KiTix=x},{αn}n-1^∞},{βn}n-1^∞包含[0,1]是实数列,且∑n=1∞(1-αn)〈+∞,(1-αn)L^2〈1,这里L是{Ti}i=1^N的公共Lipschitz系数.对任意x0∈K,{xn}n-1^∞由文中隐格式组(2)和(3)产生,则(i){xn}在K中收敛;(ii){xn}收敛于{Ti)i=1^N公共不动点的充分必要条件是lim d(xn,F)=0.对于(2),如聚βn=0。隐格式组变为xn=αnxn-1+(1-αn)Tm^2xn,如果βn=1,隐格式组变为Xu与Or1的形式xn=αnxn-1+(1-αn)Tnxn,对于(3),如果βn=1,隐格式组变为显格式xn=αnxn-1+(1-αn)Tnxn-1.对于这三种特殊迭代格式,结论(i)(ii)自然成立.  相似文献   

2.
对∞∑n=1(-1)^n=1 1/(n+k1)+(n+k2)+…+(n+km)n≥1 1≤k1〈k2〈…〈km m≥给出求和方法。对四类方程f(x,y,z)=0证明在奇异点处,无切平面。对n维单位球体体积Vn(n≥2) n=5 V5体积最大,lim n→+∞Vn=0  相似文献   

3.
本文讨论了Banach空间中非空闭凸子集上的广义渐近拟非扩张型映象的迭代逼近问题,给出了具误差的修改的Ishikawa迭代序列{xn}强收敛到广义渐近拟非扩张型映象T不动点的充要条件:设E是Banach空间,C是E中的非空闭凸子集,T∶C→C是广义渐近拟非扩张型映象,其渐近系数kn满足∑∞n=1(kn-1)〈∞,又设F(T)有界,且T在F(T)中的点处一致连续。任取一点x0∈C,{xn}是根据xn+1=αnxn+βnTnyn+γnunyn=ξnxn+ηnTnxn+δnvn定义的具误差的修改的Ishikawa迭代得到的,其中{un},{vn}是C中的两个有界点列,{αn},{βn},{γn},{ξn},{ηn},{δn}是[0,1]中的6个数列且满足αn+βn+γn=1,ξn+ηn+δn=1,∑∞n=1βn〈+∞,∑∞n=1γn〈+∞。则{xn}强收敛于T的不动点的充要条件是limn→∞infd(xn,F(T))=0,其中d(x,A)为x到集合A的距离。本文的结果推广改进了文献[1-7]中的结论。  相似文献   

4.
文章研究系数{Xn}满足∑n=0^+∞P{|Xn|≥n^p}〈+∞,∑n=0^+∞P{n^p|Xn|≥c}=+∞(任意〉0)及指数在条件limλn/Eλn=1下的双随机Diriehlet级数的收敛性和增长性。  相似文献   

5.
设{Tn}n∈N为一列具有Δ性质的算子,本文得到了算子T=∞∑n=1 Tn 在鞅空间HpS(1〈p〈∞)上有界的一些充分条件,从而推广了ToledoR的结果。  相似文献   

6.
∑p表示E0={z:0〈|z|〈1}内解析且形为f(z)=z^-p+∑^∞ n=1anz^n-p的P叶函数全体组成的类。主要研究Dziok—Srivastava算子Hp,q,s(α1)一些性质。  相似文献   

7.
在权阵列{ani:1≤i≤n,n≥1)满足Aα=lim sup n→∞(1/n∑i=1^n|ani|^α)^1/α〈∞的条件下,得到了高阶矩存在的同分布NA随机变量加权和的强大数律.  相似文献   

8.
现得到完备非紧且Ricci曲率非负有界n维(m=2n)的Kahler流形M上的一个单值化定理.如果它满足如下条件:①kr(x0)≥-c/1+r2;②sobolev不等式‖f‖p≤C0‖▽f‖q,A↓f∈C0^∞(M),1≤q≤n,1/p=1/q-1/m;③∫M R^nic〈∞,那么,M是双全纯与一个拟射影簇.  相似文献   

9.
利用矿混合序列推广的Borel—Cantelli引理及一些收敛定理,在条件EXn=0,偏d〉0,Э0〈α^2σ^2n=α^2E|Xn|^2≤E^2|Xn|〈∞下,研究系数为矿混合序列的随机Dirichiet级数∑n=0^∞Xn(ω)e^-λn^5互的增长性,得出其增长级和非随机Dirichlet级数的增长级有类似的性质。  相似文献   

10.
设K是任意实Banach空间X中的闭凸子集,T:K→K是Lipschitz严格伪压缩映象,在没有假设∑n=0^∞ αnβn〈∞之下,本文证明了由xa+1=(1-αn)xn+αnTyn+un与yn=(1-βn)xn+βnTxn+vn,任意n∈N,生成的带误差的Ishikawa迭代序列强收敛到T的唯一不动点,并给出了更为一般的收敛率估计:若un=vn=0,任意n∈N,则有||xn+1-x^*||≤(1-γn)||xn-x^*||≤…≤∏j=0^n(1-γj)||x0-x^*||,其中{γn}是(0,1)中的序列,满足γn≥1/1+kmin(ε,η-ε)αn。所得结果改进和推广了最新的一些结果。  相似文献   

11.
Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.  相似文献   

12.
The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3~4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰~ -7.8‰, PDB) and matrix dolomites (-6.6‰~ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084~0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078~0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.  相似文献   

13.
理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。  相似文献   

14.
As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.  相似文献   

15.
AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…  相似文献   

16.
There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.  相似文献   

17.
正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-  相似文献   

18.
We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-  相似文献   

19.
正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that  相似文献   

20.
For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the  相似文献   

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