多维分布函数的不相关耦合

设F(x_1,…,x_n),G(y_1,…,y_m)分别为n维与m维分布函数。若n+m维分布函数置(x_1,…,x_n,y_1,…,y_m)以F与G为边际分布,则称H为F与G的耦合。若H=FG,称H为独立耦合。若二阶矩存在,且对一切i,j,∫x_iy_jdH-∫y_jdG=0,称H为不相关耦合。本文给出了给定F与G时,存在它们的不相关又非独立的耦合的充要条件。     

关于不相关和不独立问题的几点注记

给定n维分布F(x_1,…,x_n)与m维分布G(y_1,…,y_m),如果存在随机向量X=(X_1,…,X_n),Y=(Y_1,…,Y_m),使得X,Y分别以F,G为分布,X_i,Y_j(i=1,…,n;j=1,…,m)不相关并且不独立,则称F,G存在强耦合,且称n+m维随机向量(X_1,…,X_n,Y_1,…,Y_m)的分布就是F与G的一个强耦合。本文给出了F,G存在强耦合的一个充分条件和一个必要条件。特别地,当n≤2,m≤2时,文中所给的充分条件和必要条件恰好相重合。     

关于不相关和不独立问题的几点注记

给定n维分布F(x_1,…,x_n)与m维分布G(y_1,…,y_m),如果存在随机向量X=(X_1,…,X_n),Y=(Y_1,…,Y_m),使得X,Y分别以F, G为分布,X_i,Y_j(i=1,…,n;j=1,…,m)不相关并且不独立,则称F,G存在强耦合,且称n+m维随机向量(X_1,…,X_n,Y_1,…,Y_m)的分布就是F与G的一个强耦合。本文给出了F,G存在强耦合的一个充分条件和一个必要条件。特别地,当n≤2,m≤2时,文中所给的充分条件和必要条件恰好相重合。     

关于MATROID的一个特征性质

本文给出了 Matroid 的一个特征性质,即给出了以下定理:设 S 是集合, 2~,Φ∈, 为子集闭的,则(S,)为 Matroid 当且仅当下列条件满足:对X={x_1,x_2…x_n)∈,Y={y_1,y_2,…y_m)∈,X、Y 在 F中极大,则 n=m,且适当调整 x_i的顺序,可使i,{y_1…y_(i-1),x_i,y_(i+1)…,y_m}∈(i=1,2,…n)     

相关随机变量和的中心极限定理

设x_1,x_2,…,x_n,… (1)是一个随机变量序列。定义1.(1)称为 f(n)-相关的,若当 s-1>f(n)时(x_1,x_2,…,x_)与(x_,x_(s+1),…,x_n)彼此独立。定义2.设 S_n=sum from i=1 to n x_i 是(1)的部分和。若存在固定的正数 H 和固定的ρ,0≤ρ≤1,     

微分方程解对部分变元稳定性的幾个定理

考虑n維微分方程组: dx_s/dt=X_s(t;x_1,…,x_n) (s=1,2,…,n) (1)其中,函数X_s(t;x_1,…,x_n)是在区域(H): t≥to≥o,sum from s=1 to m x_s~2≤H,X_(m+1),…,X_n为任意实数 (H)上定义的变元t,x_1,…,x_n的实連續函数,(其中1≤m≤n,H>o为常数),并且可以展为变元x_1,…,x_n的幂級数,其所有的系数,当t≥to时有界且連續;此外設X_s(t;     

Pòlya计数定理之精细化

本文继续[5]的讨论,分别给出了当作用群为对称群S_n及交错群A时的相应公式为 sum from n=F∈Б(S_n) N(F)W(F)=(y_1+y_2+…+y_m)及 sum from n=F∈Б(A_n) N(F)W(F)=(y_1+y_2+…+y_m)其中N(F)=n1/2当W(F)=y_(il)…y_(in)(y_(ij)≠y_(it),j≠t)     

U-统计量的一个收敛性定理

对于独立同分布随机变数列{x_n,n≥1}、κ元对称Borel可测函数h(y_1,…,y_k)及n≥κ,通常称为以h为核的U-统计量。为方便计,以下设Eh(x_1,…,x_k)=0,且记σ_(n,k)~2,=EU_(n,k)~2     

一类非綫性微分方程组在临界情形中的稳定問題

之根k_(m 1),…,k_n的实数部分均为負,即Re(k_s)=-λ_s,λ_s>O(s=m 1,…,n),而~qsσ(j,σ=1,…,n)为t之函数,当一切t≥t_o>O时連續有界;φ_j(1)(j=1,…n)为x_1,…,x_n之正則函数,其按x_1,…x_1的冪的展式不含低于2次之項并具实的常系数;φ_j(2)(j=1,…,n)为x_1,…x_n的正則函数,共按x_1,…x_n的冪的展式为:展式中系数R_j~(m_1,…m_n)为t之連續函数,当t≥t_o>O时有界,并使对于一切t≥to>O,函数φ_j(2)为x_1,…,x_n的一致正则函数。为了叙述簡便,今后将称具有φ_j(2)相同性质的函数为滿足条件(L)。     

Vandermonde行列式的一个推广与一类多重积分的计算

定义了与函数相关的Vandermonde行列式,从而得到了多重积分∫_Eφ~(n)(∑_(i=0)~na_ix_i)dx_1dx_2…dx_n的一般计算公式,其中E={(x_1,x_2,…,x_n)|∑_(i=1)~na_ix_i≤1,x_i≥0,i=1,2,…,n},x_0=1-∑_(i=1)~nx_i,并给出了若干特例。     

Markedness and its Interpretation in Language Use

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.     

Features of Women's language

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.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

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.     

低渗透非均质砂岩油藏启动压力梯度研究

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。     

On Tragic Consciousness In The Works By Ernest Hemingway

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.     

A computer generator for randomly layered structures

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

An Index mechanism for multi-scale view in spatial databases

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.     

Jane Eyre——A Feminist In The 19th Century

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.     

Achieving Unusual States of Matter Under High Pressure

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-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

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-