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1.
非扩张映射序列迭代过程的收敛性   总被引:1,自引:0,他引:1  
设D为赋范空间X的子集,Tn:D→X,对所有x,y∈D和所有的i,j≥1,有‖Tx-Tjy‖≤‖x-y‖成立,给定D中的一个序列(xn)与两个实数序列(tn)和(sn)满足(i)0≤tn≤t〈1且∞∑n=1tn=∞,(ii)0≤sn≤1且∞∑n=1Sn〈∞,(iii)Xn+1=tnTn(snTnxn+(1-sn)xn)+(1-tn)xn,n=1,2,3,...证明了如果(xn)有界,则linn→∞  相似文献   

2.
设D是赋范空间X的有界凸子集,T:D→CB(D)是δ集值非扩张映象,给定D中序列{xn}和两个实数列{tn}和{sn},满足(i)0≤tn≤t〈1和Σ(^∞,n=1)tn=∞,(ii)0≤sn≤1,Σ(∞,n=1)Sn〈∞和linn→∞t^-1nSn=0,(iii)xn+1∈tnTyn+(1+tn)xn,yn∈display status  相似文献   

3.
设n=2^λ-1+t,λ〉2,0≤t〈2^λ-1。反馈函数xn=f(x0,x1,…,xn-1)=1+x0+Σi∈It(xi+xn-i)产生n阶de Bruijn-Good图Gn的一个完全因子PFλ(2^λ-1+t)其中It={t;(ti)是奇整数,1≤i≤t}。  相似文献   

4.
考虑五阶差分方程Δ(Δ4yn+pnyn+2)+pnΔyn+1-qn+2yn+2=0,(1)其中qn是非负实序列,Δxn=xn+1-xn,n∈Nn0,Nn0={n0,n0+1,……},n0∈N.关于差分方程解的渐近性,振动性的研究目前已很广泛.利用辅助...  相似文献   

5.
设I(d1…,dn)表示方程x1/d1+…+xn/dn=(modl),1≤xi≤di-1,i=1,…,n的整数解(x1,…,xn)∈Z^(n)的个数。作者给出了当I(d1,…,dn)=2,2│n以及I(d1…,dn)=3时,有限域Fq上的对角方程c1x1^d1+…+cπxπ^dn=0,cj∈Fq^*,i=1,…,n的解的数的直接公式,这里dj│q-1,dj〉1,j=1,…,n。  相似文献   

6.
本文得到以下形式的Bernstein不等式:Pn(D)=∏ks=1(D2+2αsD+α2s+β2s)∏n-2kj=1(D-λj),D=ddx,λj,αs,βs是实数,βs>0,β=max1≤s≤kβs,如果σ>4β,则对任一指数型整函数f(x)∈Bσ,有‖Pn(D)f(x)‖c≤|Pn(iσ)|sup-∞<x<∞|f(x)|.  相似文献   

7.
分数阶积分方程   总被引:2,自引:0,他引:2  
对分数阶微分方程的初值问题所对应的分数阶积分方程z(t)=∑lk=0Ckkltk+(-λ)Γ(α)∫t0(t-s)α-1z(s)dsα≥1z(t)=∑2l-1k=0CkГ(1+kα2l)tkα/2l+(-λ)Г(α)∫t0(t-s)α-1z(s)dsl=0,1,2,…α≥1利用Melin变换和Fox函数求出的解为z(t)=∑lk=0∑∞n=0Ck(-λ)nГ(1+k+nα)tk+nα和z(t)=∑2l-1k=0Ck∑∞n=0(-λ)nГ(1+nα+kα2l)tnα+kα2l  相似文献   

8.
设E为一实Banach空间,映象T:E→E一致连续、强增生.设映象S:x→f-Tx+x,x∈E的值域有界且实序列{αn}∞n=0,{βn}∞n=0[0,1]满足条件αn→0,βn→0(n→∞)和∑∞n=0αn=∞,则Ishikawa迭代序列{xn}∞n=0:x0∈Exn+1=(1-αn)xn+αnSynyn=(1-βn)xn+βnSxn强收敛于方程Tx=f的唯一解.若E的对偶空间E*是一致凸的且Tx=f的解存在,则上述结论在不假定T连续的情形下仍然成立.  相似文献   

9.
设x、,x2,…xn是独立同分布的随机变量序理,P(0≤x1≤1)=1且P(x1=1)〈1证明了随机组数∑(-)^n-1x1x2…xn的收敛性,并提供了一种求和S=∑(-)^n-1x1x2…xn的分布方法。  相似文献   

10.
研究一般Lyness方程xn+1=cxn+d/(α+bx)xn-1,n=0,1,2,…周期性与振动性,其中α,b,c,d∈〔0,+∞〕且α+b〉0,c+d〉0,初值x-1,x0为任意正数,作为应用,主要讨论以下方程:xn+1=max{α,bxn}xn-1,n=0,1,2,…的周期性与振动性。  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.
何延凌 《科技信息》2008,(4):258-258
Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women's language from these perspectives: pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women's language, more attention should be paid to language use in social context. What's more, the linguistic phenomena in a speaking community can be understood more thoroughly.  相似文献   

13.
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   

14.
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   

15.
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   

16.
AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…  相似文献   

17.
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   

18.
In the 19th century the society was controlled by men, and women were just appendants of them, they had not any rights and freedom. But Jane was an exception, she showed some characteristics of early feminist. Jane showed her characteristics of feminism in three aspects: rebellion, equality, and independence. These characteristics were helpful to her success, and feminism is the only way out for women of that time.  相似文献   

19.
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   

20.
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   

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