关于En中有限点集的最近任意维平面

在Ｅｎ中，与给定有限点集中点的距离的平方和取值最小的ｋ维平面称作该点集的最近ｋ维平面。该文证明，有限点集的最近ｋ维平面有如下性质：Ｅ＾ｎ中有限点集｛Ａｉ（ｘ１ｉ，ｘ２ｉ，…，ｘｎｉ）｜ｉ＝１，２，…，ｍ｝的最近ｋ（１≤ｋ≤ｎ－１）维平面π是通过该集的重心。     

不可数一般线性群的小指数特征

使用连续流统假设，证明了如下结论：设Ｖ是可数数域Ｆ上的Ｎ１－维向量空间，Ｇ＝ＧＬ（Ｖ）是Ｖ的一般线性群，Ｈ是Ｇ的子群，并且１Ｇ：Ｈ１＜２＾Ｎ１，则存在Ｖ的可数维子空间Ｘ，使得Ｇ（ｘ）≤Ｈ≤Ｇ（ｘ）     

E~n中有限点集的一个不等式

设ＧＮ＝｛Ｐ１，Ｐ２，…，ＰＮ｝是Ｅｎ中一个点集（Ｎ＞ｎ≥２），Ｐ是Ｅｎ中一点，ｍｉ是相应于Ｐｉ的正数（ｉ＝１，２，…，Ｎ）。若Ｐｉ１，Ｐｉ２，…，Ｐｉｋ是取自ＧＮ的点，ｋ维单形｛Ｐ，Ｐｉ１，Ｐｉ２，…，Ｐｉｋ｝的体积是ＶＰＰｉ１…Ｐｉｋ。令Ｍｋ＝∑∑…∑ｉ１＜ｉ２＜…＜ｉｋ（ｍｉ１ｍｉ２…ｍｉｋＶ２ＰＰｉ１…Ｐｉｋ（１≤ｋ≤ｎ）。则有ＭｌｋＭｋｌ≥［（ｎ－ｌ）！（ｌ！）３］ｋ［（ｎ－ｋ）！（ｋ！）３］ｌ（ｎ！）ｌ－ｋ（１≤ｋ＜ｌ≤ｎ），Ｍ２ｋ≥（ｋ＋１ｋ）３ｎ－ｋ＋１ｎ－ｋＭｋ－１Ｍｋ＋１（１≤ｋ≤ｎ）。上述不等式当且仅当矩阵（（ｍｉｅｉ，ｍｊｅｊ））Ｎ×Ｎ的非零特征值相等时成立等号，此处（ｍｉｅｉ，ｍｊｅｊ）表示内积，ｅｉ＝ＰＰｉ（ｉ＝１，２，…，Ｎ）。     

关于3—控制临界图的某些结果

以γ（Ｇ）记图Ｇ的控制数，如果对Ｖ（Ｇ）中任何一对满足条件ｕｖ不包于Ｅ（Ｇ）的顶点ｕ，ｖ，有γ（Ｇ＋ｕｖ）＜γ（Ｇ），则称Ｇ是控制临界的γ（Ｇ）＝ｋ的控制临图图称为是ｋ－控制临界的，得出以下两个结果：１）如果Ｇ是具有ｎ（＞＞２ｋ）个顶点的连通３－控制临界图，则Ｇ中度≤２ｋ的顶点的个数至多为２ｋ，２）每个连通３－控制临界图或者有一个独立３－控制集或者有一个完全３－控制集。     

X-最长圈的下界估计

设Ｇ是连通图,Ｘ＝Ｖ（Ｇ）,Ｇ〔Ｘ〕是Ｇ的Ｘ生成子图,记σｋ（Ｘ）＝ｍｉｎ｛Σｉ＝１ ｋ ｄ（Ｖｉ）;｛ｖ１,ｖ２,…,ｖｋ｝是Ｇ〔Ｘ〕的顶点独立集｝,得到如下结果,对于ｎ阶的１－坚韧图（ｎ≥３）,Ｘ＝Ｖ（Ｇ）,且σ３（Ｘ）≥ｎ＋ｒ≥ｎ,３│Ｘ│－２ｎ≥８ｔ－６ｒ－１７,则存在一个圈Ｃ满足│Ｃ（Ｘ）│≥｛Ｃ（Ｘ）│≥｛│Ｘ│,│Ｎ（Ｉｔ）∩Ｖ（Ｃ）│｝,其中Ｉｔ是Ｘ中ｔ个顶点的独立集。     

用范德蒙行列式构造协调正交对角线拉丁D体和双重标准幻D体

要所谓ｎ阶双重标准幻Ｄ体是一个ｎ阶Ｄ维阵列，它的元是ｎ￣Ｄ个不同的正整数，使得每一“行”，每一“对角线”上的－ｎ个元不仅和，而且积均为常数．在本文中，我们给出了用范德蒙行列式构造协调正交对角线拉丁Ｄ体和用协调正交对角线拉丁Ｄ体构造双重标准幻Ｄ体的方法，从而证明了：对于所有２≤Ｄ≤ｋ，存在常数Ｃ＿（ｋ，Ｄ），当ｍ的最小素因子大于Ｃ＿（ｋ，Ｄ）时，至少存在一个ｍ￣ｋ阶标准幻Ｄ体．特别地，Ｃ＿（ｋ，２）＝２；当ｋ≥３时，Ｃ＿（ｋ，２）＝１；Ｃ＿（ｋ，３）≤７．     

独点集导集的性质

文中从独点集导集的性质出发，重新考虑Ｔ０，Ｔ１／２，Ｔ１空间，并定义刻划了两类新空间，Ｔｔ空间和准正则空间，得出一系列结论，有关空间的相互关系，一般条件下，Ｔ４空间必是Ｔｉ－１空间（ｉ＝２，３，４）Ｔ１空间必须是Ｔ１／２空间，Ｔ１／２空间必是Ｔ０空间，Ｔ１空间必是准确正则空间，正则空间必是准正侧空间，准正则空间必是Ｔｔ空间，有限条件下Ｔ０空间是Ｔ１／２，空间，离散的Ｔ１／２空间Ｔ１空间，离散的散正     

K—NUC空间与LK—NUC空间

证明了（１）若Ｘ,Ｙ分别是Ｋ１－ＮＵＣ空间、Ｋ２－ＮＵＣ空间,１〈Ｐ〈＋∞,则（Ｘ＋Ｙ）ｐ为（Ｋ１＋Ｋ２－１）－ＮＵＣ空间。（２）若Ｘ,Ｙ分别是ＬＫ１－ＮＵＣ空间,ＬＫ２－ＮＵＣ空间,１〈Ｐ〈＋∞,则（Ｘ＋Ｙ）Ｐ为Ｌ（Ｋ１＋Ｋ２－１）－ＮＵＣ空间。（３）引入了ＬＫ－ＷＨ性质,并得到具有ＬＫ－ＷＨ性质的ＬＮＵＣ空间与ＬＫ－ＮＵＣ空间等价。     

奇异问题的混合元方法

讨论右端为δ函数的二阶椭圆型方程的混合元数值方法，证明了对解和梯度的Ｌ１模误差估计为Ｏ（ｈ｜ｌｏｇｈ｜１／２）（ｋ＝０）、Ｏ（ｈ３／２｜ｌｏｇｈ｜３／２）（ｋ≥１）和Ｏ（ｈ｜ｌｏｇｈ｜）（ｋ≥０），对ｋ≥ｌ提出一个提高收敛阶的计算格式，得到对解和梯度的Ｌ１模估计为Ｏ（ｈ２｜ｌｏｇｈ｜１／２）和Ｏ（ｈ２｜ｌｏｇｈ｜）．     

一类康拓型函数不可微点集的豪斯道夫维数

讨论了齐次康拓集Ｃ（「０，１」，｛２｝，｛ａ＾１＋ａｋ｝和偏齐次康拓集Ｃ＾＊（「０，１」，｛２｝，｛ａ＾１＋ａｋ｝）上的康拓型函数，在条件ａｋ≥０和ｎ／∑／ｋ＝１ａｋ＝０（ｎ）下，并给出了其不可微点集的豪斯道夫维数及填充维数。     

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.     

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。     

A computer generator for randomly layered structures

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

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.     

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.     

海南岛地体及其毗邻陆缘晚中生代—新生代古地磁研究和构造演化

本文叙述了对海南岛及其毗邻大陆边缘白垩纪到第四纪地层岩石进行古地磁研究的全部工作过程。通过分析岩石中剩余磁矢量的磁偏角及磁倾角的变化,提出海南岛白垩纪以来经历的构造演化模式如下:早期伴随顺时针旋转而向南迁移,后期伴随逆时针转动并向北运移。联系该地区及邻区的地质、地球物理资料,对海南岛上述的构造地体运动提出以下认识:北部湾内早期有一拉张作用,主要是该作用使湾内地壳显著伸长减薄,形成北部湾盆地。从而导致了海南岛的早期构造运动,而海南岛后期的构造运动则主要是受南海海底扩张的影响。海南地体运动规律的阐明对于了解北部湾油气盆地的形成演化有重要的理论和实际意义。     

《Chinese Science Bulletin》SUBJECT INDEX TO VOLUME 59(2014)

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Achieving Unusual States of Matter Under High Pressure

The elongation method,originally proposed by Imamura was further developed for many years in our group.As a method towards O(N)with high efficiency and high accuracy for any dimensional systems.This treatment designed for one-dimensional(ID)polymers is now available for three-dimensional(3D)systems,but geometry optimization is now possible only for 1D-systems.As an approach toward post-Hartree-Fock,it was also extended to     

Exciton Seebeck in Molecular Systems

Various applications relevant to the exciton dynamics,such as the organic solar cell,the large-area organic light-emitting diodes and the thermoelectricity,are operating under temperature gradient.The potential abnormal behavior of the exicton dynamics driven by the temperature difference may affect the efficiency and performance of the corresponding devices.In the above situations,the exciton dynamics under temperature difference is mixed with