一类距离图的分数色数

摘要：主要讨论了距离图G(Z,D_{m,k,k+1,k+2,k+3})(其中D_{m,k,k+1,k+2,k+3}=｛1,2,…,m｝-｛k,k+1,k+2,k+3｝)的分数色数,以及当2k≤m≤2k+5时G(Z,Dm,k,k+1,k+2,k+3)的色数。     

铁电体性能的低温研究

测量了LiNbo_3单畴晶体(Z切)72k至310k的热释电系数P~T,以及15k至273k的介电常数~T,发现热释电系数在226k、170k及137k有异常变化,170k至310k的p~T与T关系为二段直线,交点温度为226k,72k至130k的P~T正比于爱因斯坦比热函数,介电常数在230k及100k出现明显的异常变化,在137k及170k也有变化,还测量了一种ZBN陶瓷新材料11k至470k的介电常数及11k至290k的损耗,发现介电常数从11k开始随温度较快地上升,从100k开始缓慢上升,125k达到极大值后缓慢下降,损耗从11k开始随温度较快地上升,在65k呈现峰值后迅速下降,从125k开始缓慢下降,属扩散型相变。     

两企业竞争与合作的离散动力学模型的周期解

研究一个两企业竞争与合作的离散动力学模型:x1(k+1)=x1(k)exp{r1(k)-a1(k)x1(k)-b1(k)×(x2(k)-c2(k))2},x2(k+1)=x2(k)exp{r2(k)-a2(k)x2(k)+b2(k)(x1(k)-c1(k))2},k∈Z的动力学行为.运用重合度及相关的延拓定理和先验估计,得到系统存在正周期解的易于检验的充分条件.     

幂级数∑mk 部分和的组合表达式

本文给出了级数∑m k 部分和的组合表达式：m ＝1∞∑m k ＝f1k n ＋1()1＋f 2 k m ＝1 k ＋()1＋f n ＋2 k ＋3 k ()1＋…f n ＋3 k ＋k k ()1, n ＋k k ＋并讨论了由这些系数构成的三角形的对称性以及此三角形内相邻行间元素的递归关系。     

连通图中圈数

用|V（G）|、|E（G）|和f（G）分别表示图G的顶点数、边数和圈数．设F（k）＝｛f（G）;G是满足|E（G）|－|V（G）|＝k的无环连通图｝,n（k）＝minF（k）和N（k）＝maxF（k）．证明了下述结果：（1）n（k）＝k＋1;（2）N（k）≤2k+1;（3）对每个整数k≥1,N（k）≥2k＋k（k－1）＋1且当1≤k≤4时等式成立;（4）对每个整数k≥1是奇数时,N（k）≥2k3;当k≥2是偶数时,     

图的邻域并和连通的[k,k+1]-因子

设G是阶为n的图.F是G的支撑子图且对所有的x∈V(G)都有k≤dF(x)≤k+1,则称F为G的[k,k+1]-因子.一个[k,k+1]-因子如果连通,则称为连通的[k,k+1]-因子.一个[k,k+1]-因子若包含一个哈密顿圈,则称为哈密顿[k,k+1]-因子.给出了图有哈密顿[k,k+1]-因子或连通的[k,k+1]-因子关于邻域并的若干新的充分条件.     

广义线性离散系统的基于状态补偿的全维状态观测器的设计

主要讨论了广义离散线性系统{Ex(k 1)=Gx(k) Hu(k) y(k)=Cx(k)=Du(k)的状态观测器，利用矩阵的奇异值分解和矩阵的广义逆，将广义线性系统化为奇异值标准形{∑x1(k 1)=G11x1(k) G12x2(k) H1u(k) 0=G21x1(k) G22x2(k) H2u(k) y(k)=C1x1(k) C2x2(k) Du(k)再引入状态补偿反馈u(k)=K1x2(k) v(k)，使得广义系统变为正常系统，从而设计出广义离散线性系统的全维状态观测器。x^^(k 1)=(G^～-KC^～)Vx^^(k) (H^～-KD^～)(u(k) u(k 1)) Ky(k)     

关于一类三角函数无限和

给出一类正余弦三角函数方幂无限和:∞/∑/k=0cos2r+1/kθ/mk,∞/∑/k=0(-1)kcos2r+1kθ/mk和∞/∑/k=1(-1)k+1sin2rkθ/k2;∞/∑/k=1sin2r+1kθ/k,∞/∑/k=1sin2r+2kθ/k2计算公式.     

一类多项式的分解及其应用

1 一类多项式的分解 定理任何一个形如 k0xn+k1xn-1ɑ+k2xn-2ɑ2+...+kn-1xɑn-1+knɑn (1) 的多项式,如果k0+k1+...+kn=0,则一定可以分解成 (x-ɑ)[k0xn-1+(k0+k1)xn-2ɑ+(k0+k1+k2)xn-3ɑ2+...+(k0+k1+k2+...+kn-1)ɑn-1](2) 的形式(n=1,2,3,...).证明用第一数学归纳法.     

Evans问题的一类新解

利用问题E2687解的一个充要条件,构造出一类新的本原Evans三角形,其三边长分别为k2-2+4k2(k2-2)(k2-1)3,1+4k2(k2-2)(k2-1)3,k2-1;且三角形中最短边上的高与该边长之比是4k(k2-2)(2k4-4k2+1)型的整数,其中k>1是正整数。     

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.     

美国地缘环境解析及其对中国的启示

 基于地缘环境理论，构建了地缘环境解析框架，从地理环境、地缘关系、地缘结构和地缘空间4个层次对美国地缘环境的动态变化进行了系统的解析。地理环境赋予美国有利的地理位置、优越的地理条件、绝对的地缘优势和拥有世界权力的可能。美国的地缘关系在其发展过程中呈现出对抗、竞争、合作、同盟等多种形式。地缘结构具有重要功能，倒三角结构、多极结构、两极结构、一超多强结构带给美国地缘政治、地缘经济、地缘文化等方面的地位、权力和利益，美国面对中国崛起的地缘理念结构亟需更新。美国主要的地缘空间横跨北美洲、亚洲及欧洲，可划分为腹地、核心地缘空间、海洋地缘空间和外围地缘支点。进入21世纪，美国的国内、国际环境正在发生深刻变化，其对外关系与地缘战略也呈现出新一轮的变动和调整，以适应新的地缘环境。中国在和平崛起过程中可以通过建设潜在的印度洋通道、构建互利共赢的“朋友圈”、制定自身发展的地缘战略等手段积极塑造自身的地缘环境，破解错综复杂的地缘环境问题，维护中国地缘安全。     

高温影响杂交水稻开花结实的生理生化基础初探

本文研究了人工气候箱内不同温度处理的水稻叶片中,叶绿素、糖和磷的含量及花药中游离氨基酸的含量与杂交水稻开花结实的关系。考察了不同温度处理下.杂交水稻的结实率。     

Perspherical Approaches for Electrons in Atoms and Charged Excitons in Quantum Wells

Instead of following Fock’s expansion,we solve the Schrodinger equation for some quantum mechanical manybody systems such as electrons in atoms and charged excitons in quantum wells in a similar way in hyperspherical coordinates by expanding the wave functions into orthonormal complete basis sets of the hyperspherical hannonics(HHs)of hyperangles and generalized Laguerre polynomials(GLPs)of the hyperradius.This leads the equation to     

An improved R-tree based on childnode''s probability

R-Tree is a good structure for spatial searching. But in this indexing structure,either the sequence of nodes in the same level or sequence of traveling these nodes when queries are made is random. Since the possibility that the object appears in different MBR which have the same parents node is different, if we make the subnode who has the most possibility be traveled first, the time cost will be decreased in most of the cases. In some case, the possibility of a point belong to a rectangle will shows direct proportion with the size of the rectangle. But this conclusion is based on an assumption that the objects are symmetrically distributing in the area and this assumption is not always coming into existence. Now we found a more direct parameter to scale the possibility and made a little change on the structure of R-tree, to increase the possibility of founding the satisfying answer in the front sub trees. We names this structure probability based arranged R-tree (PBAR-tree).     

远程教育试卷系统的开发

电化教学领域中，基于网络的多媒体课件制作已成为实现远程教学模式的核心问题。为适应网络环境下远程教育的需要，以《微机原理与接口技术试卷生成系统》网络多媒体课件为例，结合CAI软件框架与相关网络技术，提出了实现多媒体信息网络发布的新想法与关键技术。     

采空区地表斜坡变形破坏类型及其运动机制

论述了采空区地表斜坡变形和破坏的地质现象，类型及其运动机制，斜坡在采空区覆岩移动的环境下，岩体发生塌落、倾倒、拱屈、弯曲和滑动等。它们各有其成因，力学特点和运动机制，对评定采空区地表斜坡稳定性是不可少的。     

Regulation of canonical Wnt/β-catenin pathway in the nucleus

Canonical Wnt/β-catenin pathway plays a central role in development, homeostasis, as well as tumorigenesis. The regulation of the pathway involves various and complicated mechanisms, including the extracellular, intracellular and endonuclear regulation. As the key component of the pathway, the Lefl/Tcfs-β-catenin complex is also the key target of regulation in the nucleus. In the current review, we are going to summarize the regulators in the nucleus which can modify the transcrip- tional activity of the Wnt/β-catenin pathway.     

支持EAI基于JMS的企业级协同消息通信工具的实现

面向企业应用系统集成,基于Java消息服务,研究企业级协同消息通信工具的实现技术.在J2EE核心技术的基础上,提出以企业JavaBean和Java消息服务为核心服务器,一切消息通信基于消息模式的系统架构,以解决企业级即时消息通信工具和其他信息系统集成难的问题;为了提高性能及系统可靠性,提出了核心服务器集群的方式.     

三昧:佛教审美感悟的主要形式

佛教对中国古代学创作和审美产生了巨大影响，这已经是不争的问题。而在感应外物的心理知觉上与学审美究竟有何内在联系及区别，则又大多语焉不详，或详而无纲、油水分离。笔从佛教教义中拈出“三昧”两个字，深入探寻佛教审美感悟的主要方式，分析它与庄子“心斋”及俗人梦幻的同异，这对中国古代学审美理论的梳理和建构都有重要意义。