Necessary and Sufficient Conditions for the Strong Consistency of Mnltiple Regression Coefficients Undera Restrictive Condition

ＮｅｃｅｓｓａｒｙａｎｄＳｕｆｆｉｃｉｅｎｔＣｏｎｄｉｔｉｏｎｓｆｏｒｔｈｅＳｔｒｏｎｇＣｏｎｓｉｓｔｅｎｃｙｏｆＭｎｌｔｉｐｌｅＲｅｇｒｅｓｓｉｏｎＣｏｅｆｆｉｃｉｅｎｔｓＵｎｄｅｒａＲｅｓｔｒｉｃｔｉｖｅＣｏｎｄｉｔｉｏｎＪｉｎＭｉｎｇｚｈｏｎｇ...     

一道习题的四种解法及其启示

我在高三数学培优训练中出了这样一道题 :在△ＡＢＣ中证明ｃｏｓＡｃｏｓＢｃｏｓＣ≤ 18. ( 1)学生的解法使我既惊喜又欣慰 .有些解法是我开始没有预料到的 ,有些解法又暴露出同学们对某些数学思想、方法理解中的问题 ,现呈献给大家供参考 .分析 1:积化和差会出现ｃｏｓ (Ｂ Ｃ )而在△ＡＢＣ中 ,ｃｏｓ(Ｂ Ｃ) =-ｃｏｓＡ ,从而产生下列解法 :解法 1　ｃｏｓＡｃｏｓＢｃｏｓＣ= 12 ｃｏｓＡ[ｃｏｓ(Ｂ Ｃ) ｃｏｓ(Ｂ -Ｃ) ]= - 12 ｃｏｓ2 Ａ 12 ｃｏｓ(Ｂ -Ｃ)ｃｏｓＡ= - 12 [ｃｏｓＡ - 12 ｃｏｓ(Ｂ -Ｃ) ] 2 18ｃｏｓ2 (Ｂ…     

一个三角不等式猜想的证明及推广

刘健先生在文［１］中提出如下猜想：在任意△ＡＢＣ中,有ｃｏｓＢｃｏｓＣｓｉｎＡ２＋ｃｏｓＣｃｏｓＡｓｉｎＢ２＋ｃｏｓＡｃｏｓＢｓｉｎＣ２＜１①笔者通过研究,发现了这个不等式的一个指数形式：定理在△ＡＢＣ中,有ｃｏｓＢｃｏｓＣｓｉｎｋＡ２＋ｃｏｓＣｃｏ...     

Saks空间中（A）型相容映射的叠合点及公共不动点（英）

ＣｏｉｎｃｉｄｅｎｃｅＰｏｉｎｔｓａｎｄＣｏｍｍｏｎＦｉｘｅｄＰｏｉｎｔｓｆｏｒＣｏｍｐａｔｉｂｌｅＭａｐｓｏｆＴｙｐｅ（Ａ）ｏｎＳａｋｓＳｐａｃｅｓＰ．Ｐ．Ｍｕｒｔｈｙ，Ｂ．Ｋ．Ｓｈａｒｔｒｉａ，Ｙ．Ｊ．ＣｈｏＣｏｉｎｃｉｄｅｎｃｅＰｏｉｎｔｓａｎ...     

伪辛群的Carter子群

§ 1.Ｉｎｔｒｏｄｕｃｔｉｏｎ　Ｉｎ 1 961Ｃａｒｔｅｒ[1]ｐｒｏｖｅｄｔｈａｔｉｎａｎｙｆｉｎｉｔｅｓｏｌｖａｂｌｅｇｒｏｕｐＧｔｈｅｒｅｅｘｉｓｔｓｓｅｌｆ ｎｏｒｍａｌｉｚｉｎｇｎｉｌｐｏｔｅｎｔｓｕｂｇｒｏｕｐｓ (Ｃａｒｔｅｒｓｕｂｇｒｏｕｐｓ) .ＴｈｅｃｏｎｃｅｐｔｏｆＣａｒｔｅｒｓｕｂｇｒｏｕｐｓｃｏｍｅｓｆｒｏｍｔｈｅｃｏｎｃｅｐｔｏｆＣａｒｔａｎｓｕｂａｌｇｅｂｒａｉｎＬｉｅａｌｇｅｂｒａ ,ｓｏｔｈｅｓｔｕｄｙｏｆＣａｒｔｅｒｓｕｂｇｒｏｕｐｓｉｓｖｅｒｙｉｍｐｏｒｔａｎｔｉｎｇｒｏｕ…     

Fekete┐SzegoProblemforStronglyBazilevicFunctions

Ｆｅｋｅｔｅ┐ＳｚｅｇｏＰｒｏｂｌｅｍｆｏｒＳｔｒｏｎｇｌｙＢａｚｉｌｅｖｉｃＦｕｎｃｔｉｏｎｓＧａｏＣｈｕｎｙｉ（高纯一）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣｈａｎｇｓｈａＣｏｍｍｕｎｉｃａｔｉｏｎｓＩｎｓｔｉｔｕｔｅ，Ｃｈａｎｇｓ...     

构造法简证一类三角不等式

１９９６年,周永良先生在全国第三届初等数学研究学术交流会论文集中提出如下三角不等式在锐角三角形ＡＢＣ中,有ｃｏｓ（Ｂ－Ｃ）ｃｏｓＡ＋ｃｏｓ（Ｃ－Ａ）ｃｏｓＢ＋ｃｏｓ（Ａ－Ｂ）ｃｏｓＣ≥６（１）ｃｏｓＡｃｏｓ（Ｂ－Ｃ）＋ｃｏｓＢｃｏｓ（Ｃ－Ａ）＋ｃｏｓ...     

INSTRUCTIONS TO AUTHORS

1.ＴｈｅＣｈｉｎｅｓｅＡｎｎａｌｓｏｆＭａｔｈｅｍａｔｉｃｓ(ＣＡＭ)Ｓｅｒ.Ｂｉｓａｃｏｍｐｒｅｈｅｎｓｉｖｅｍａｔｈｅｍａｔｉｃａｌｊｏｕｒｎａｌｃａｒｒｙｉｎｇｏｒｉｇｉｎａｌｐａｐｅｒｓｏｎｐｕｒｅａｎｄａｐｐｌｉｅｄｍａｔｈｅｍａｔｉｃｓ.Ｉｔａｉｍｓａｔｐｒｅｓｅｎｔｉｎｇｔｈｅｌａｔｅｓｔａｃｈｉｅｖｅｍｅｎｔｓｉｎｍａｔｈｅｍａｔｉｃａｌｒｅｓｅａｒｃｈｅｓａｎｄｐｒｏｍｏｔｉｎｇｄｏｍｅｓｔｉｃａｎｄｉｎｔｅｒｎａｔｉｏｎａｌａｃａｄｅｍｉｃｅｘｃｈａｎｇｅｓ.2.ＣＡＭＳｅｒ.Ｂｉｓ…     

格蕴涵代数与MV-代数

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｏｒｄｅｒｔｏｒｅｓｅａｒｃｈｔｈｅｌｏｇｉｃａｌｓｙｓｔｅｍｗｈｏｓｅｐｒｏｐｏｓｉｔｉｏｎａｌｖａｌｕｅｉｓｇｉｖｅｎｉｎａｌａｔｔｉｃｅｆｒｏｍｔｈｅｓｅｍａｎｔｉｃｖｉｅｗｐｏｉｎｔ,ｗｅｈａｖｅｐｒｏｐｏｓｅｄｔｈｅｃｏｎｃｅｐｔｏｆｌａｔｔｉｃｅｉｍｐｌｉｃａｔｉｏｎａｌｇｅｂｒａｓｉｎ［１］ａｎｄｈａｖｅｄｉｓｃｕｓｓｅｄｔｈｅｉｒｓｏｍｅｐｒｏｐｅｒｔｉｅｓ．ＭＶ－ａｌｇｅｂｒａｓｗｅｒｅｉｎｖｅｎｔｅｄｂｙＣ．Ｃ．Ｃｈａｎｇ［２］ｉｎｏｒｄｅ…     

A Construction of Cartesian Authentication Codes from Vector Space and Dual Authentication Codes

ＡＣｏｎｓｔｒｕｃｔｉｏｎｏｆＣａｒｔｅｓｉａｎＡｕｔｈｅｎｔｉｃａｔｉｏｎＣｏｄｅｓｆｒｏｍＶｅｃｔｏｒＳｐａｃｅａｎｄＤｕａｌＡｕｔｈｅｎｔｉｃａｔｉｏｎＣｏｄｅｓＦｅｎｇＲｏｎｇｑｕａｎ（冯荣权）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ...     

基于模糊FNN-ELECTRE法的国有商业银行竞争力评价

随着金融业全方位开放,国有商业银行已成为国家经济命脉的核心,其竞争力强弱关系着国家经济的繁荣与衰退。本文基于模糊FNN-ELECTRE方法建立国有商业银行竞争力评价模型,以因素神经网络理论(FNN)与ELECTRE融合方法为基础,以现有商业银行竞争力评价指标为着眼,把国有商业银行竞争力的评价体系从现实竞争力和潜在竞争力两个因素抽取为一级指标,以规模、质量、业务结构、效率、成长性五个因素设为二级指标。从实证的角度对银行A、银行B、银行C、银行D、银行E五大国有银行进行分析验证,对其属性值进行和谐性与非和谐性检验得出,银行B竞争能力最强,银行E竞争能力最弱,五大国有银行均有改进空间。     

旋转抛物面的新定义及其性质

从点的轨迹的角度,将R<'3>中的旋转抛物面定义为:R<'3>中到一定点与到一定平面(点不在平面上)距离相等的点的轨迹.同时引入旋转抛物面的焦点、准平面、准线等概念,并在此基础上证明关于旋转抛物面的焦点弦、准平面、顶点、对称轴、切平面之间的若干重要性质.     

网络优化中一个组合问题的探讨

文[4]提出了网络优化中若干有待解决的组合问题，本文围绕其中之一“减小直径问题”进行了探讨．设P（n，t）表示长为n的路径增加t条边后所得图直径的最小值，C（n，t）表示长为n的圈增加t条边后所得回直径的最小值．本文取得如下进展：1）给出P（n，2），P（n，3）及C（n，2）的精确值，并得出P（n，4）的一更精细的上界及一种更好的加边方式．上述结果均满足小极大度原则．2）在有极大度限制的条件下，分别对t为偶数和奇数给出了P（n，t）的上界．     

Formulation of linear problems and solution by a universal machine

Using the predicate language for ordered fields a class of problems referred to aslinear problems is defined. This class contains, for example, all systems of linear equations and inequalities, all linear programming problems, all integer programming problems with bounded variables, all linear complementarity problems, the testing of whether sets that are defined by linear inequalities are semilattices, all satisfiability problems in sentenial logic, the rank-computation of matrices, the computation of row-reduced echelon forms of matrices, and all quadratic programming problems with bounded variables. A single, one, algorithm, to which we refer as theUniversal Linear Machine, is described. It solves any instance of any linear problem. The Universal Linear Machine runs in two phases. Given a linear problem, in the first phase a Compiler running on a Turing Machine generates alinear algorithm for the problem. Then, given an instance of the linear problem, in the second phase the linear algorithm solves the particular instance of the linear problem. The linear algorithm is finite, deterministic, loopless and executes only the five ordered field operations — additions, multiplications, subtractions, divisions and comparisons. Conversely, we show that for each linear algorithm there is a linear problem which the linear algorithm solves uniquely. Finally, it is shown that with a linear algorithm for a linear problem, one can solve certain parametric instances of the linear problem.Research was supported in part by the National Science Foundation Grant DMS 92-07409, by the Department of Energy Grant DE-FG03-87-ER-25028, by the United States—Israel Binational Science Foundation Grant 90-00434 and by ONR Grant N00014-92-J1142.Corresponding author.     

基于共同配送的快递企业末端服务网点定价博弈研究

在末端共同配送背景下,以快递共配联盟为研究对象,建立了分散决策和集中决策的定价博弈模型。对分散决策情景考虑了固定支付、按件支付、收益共享、服务水平补偿、收益共享与成本共担五种不同的利润分配方法。在构建模型时,考虑了快递员提成比例、同行竞争、服务水平、宣传水平对需求和成本的影响,给出了快递企业与合作企业的最佳决策。最后,分析在不同模式下联盟的服务水平、价格、利润变化。结果显示,集中决策下联盟的总利润最高,分散决策下使用收益共享与成本共担模式最佳。     

Moment information for probability distributions,without solving the moment problem,II: Main-mass,tails and shape approximation

How much information does a small number of moments carry about the unknown distribution function? Is it possible to explicitly obtain from these moments some useful information, e.g., about the support, the modality, the general shape, or the tails of a distribution, without going into a detailed numerical solution of the moment problem? In this, previous and subsequent papers, clear and easy to implement answers will be given to some questions of this type. First, the question of how to distinguish between the main-mass interval and the tail regions, in the case we know only a number of moments of the target distribution function, will be addressed. The answer to this question is based on a version of the Chebyshev–Stieltjes–Markov inequality, which provides us with upper and lower, moment-based, bounds for the target distribution. Then, exploiting existing asymptotic results in the main-mass region, an explicit, moment-based approximation of the target probability density function is provided. Although the latter cannot be considered, in general, as a satisfactory solution, it can always serve as an initial approximation in any iterative scheme for the numerical solution of the moment problem. Numerical results illustrating all the theoretical statements are also presented.     

关于药物对小鼠肝脏细胞色素P-450含量的影响实验结果的分析

肝药酶诱导剂苯巴比妥能诱导细胞色素P-450的合成,而肝药酶抑制剂放线菌素D能抑制细胞色素P-450的合成,本实验应用示差光谱法对P-450含量加以测定.本文改进了传统的计算药后诱导组和抑制组P-450含量增加或减少的百分比来评价药物的方法,在M athem atica数学软件环境下,对数据进行方差分析和t检验,提高了数据处理精度和可信度.并对原方法表示怀疑.     

Sustainable SC through the complete reprocessing of end-of-life products by manufacturers: A traditional versus social responsibility company perspective

Every item produced, transported, used and discarded within a Supply Chain (SC) generates costs and creates an impact on the environment. The increase of forward flows as effects of market globalization and reverse flows due to legislation, warranty, recycling and disposal activities affect the ability of a modern SC to be economically and environmentally sustainable. In this context, the study considers an innovative sustainable closed loop SC problem. It first introduces a linear programming model that aims to minimize the total SC costs. Environmental sustainability is guaranteed by the complete reprocessing of an end-of-life product, the re-use of components, the disposal of unusable parts sent directly from the manufacturers, with a closed loop transportation system that maximizes transportation efficiency. Secondly, the authors consider the problem by means of a parametrical study, by analyzing the economical sustainability of the proposed CLSC model versus the classical Forward Supply Chain model (FWSC) from two perspectives: Case 1, the ‘traditional company perspective’, where the SC ends at the customers, and the disposal costs are not included in the SC, and Case 2, the ‘social responsibility company perspective’, where the disposal costs are considered within the SC. The relative impact of the different variables in the SC structure and the applicability of the proposed model, in terms of total costs, SC structure and social responsibility, are investigated thoroughly and the results are reported at the conclusion of the paper.     

常微分算子谱的定性分析

本文对常微分算子谱的定性分析的若干问题做一综合性的概要介绍。着重介绍研究谱的定性分析的主要途径和研究方法；讨论谱的离散性判别准则及其发展和推广，列举一些在方法上有代表性的结论。