广义a-结合BCI-代数

引入了广义ａ－结合ＢＣＩ－代数的概念，研究了ＢＣＩ－代数的ｐ－半单部分与广义ａ－结合部分的关系．并将ｐ－半单ＢＣＩ－代数的若干重要性质推广到广义ａ－结合ＢＣＩ－代数上．最后我们证明了每个广义ａ－结合ＢＣＩ－代数可确定一个交换偏序幺半群．本文结果表明文［１］的正则ＢＣＩ－代数与ｐ－半单ＢＣＩ－代数是一致的．     

关于单BCI－代数的一些结果

本文讨论了单ＢＣＩ－代数．证明了一个ＢＣＩ－代数是单的当且仅当它的子代数都是单的；给出了单ｐ－半单ＢＣＩ－代数的一种表示式；证明了一个ｐ－半单ＢＣＩ－代数是单的当且仅当它的阶是素数；这样得到了一批（无限多个）单ＢＣＩ－代数；证明了商ＢＣＫ－代数Ｘ／Ａ是单的当且仅当Ａ是Ｘ的极大理想．     

RLW—Burgers方程的精确解

借助未知函数的变换，ＲＬＷ－Ｂｕｒｇｅｒｓ方程和ＫｄＶ－Ｂｕｒｇｅｒｓ方程化为易于求解的齐次形式的方程，从而得到ＲＬＷ－Ｂｕｒｇｅｒｓ方程和ＫｄＶ－Ｂｕｒｇｅｒｓ方程的精确解。     

连续B-domain的一个刻划定理

本文证明了在Ｌ－ｄｏｍａｉｎ条件下，连续Ｂ－ｄｏｍａｉｎ与ＦＳ－ｄｏｍａｉｎ等价，并由此得到了连续Ｂ－ｄｏｍａｉｎ的一个刻划定理．     

Yang-Baxter方程的解与量子Yang-Baxter H-余模

设Ｈ是域ｋ上的Ｈｏｐｆ代数。本文首先讨论了量子Ｙａｎｇ－Ｂａｘｔｅｒ Ｈ－余模与Ｙａｎｇ－Ｂａｘｔｅｒ方程的解的关系;然后作为应用,给出了任意Ｈｏｐｆ代数上Ｙａｎｇ－Ｂａｘｔｅｒ方程的一个解。     

在Lp（s）空间中多元的Bernstein－Kantorovich算子的逼近性质

本文对定义在单形上的Ｂｅｒｎｓｔｅｉｎ－Ｋａｎｔｏｒｏｖｉｃｈ（以下简记为Ｂ－Ｋ）算子，给出了几个弱型不等式，得到了     

半线性抛物型方程组解的Blow－up现象

本文研究某一类半线性抛物型方程组解的Ｂｌｏｗ－ｕｐ存在性及Ｂｌｏｗ－ｕｐ点集的性质。并证明在一定条件下单点Ｂｌｏｗ－ｕｐ．     

自反BCK－代数

本文在ＢＣＫ－代数中引进稳定子的概念，并定义一类特殊的ＢＣＫ－代数─自反ＢＣＫ－代数，证明自反ＢＣＫ－代数的概念与半单ＢＣＫ－代数的概念是一致的，同时对于有限ＢＣＫ－代数还得到它是自反的一个充要条件。     

半线性抛物型方程组解的Blow—up现象

本文研究某一类半线性抛物方程组解的Ｂｌｏｗ－ｕｐ存在性及Ｂｌｏｗ－ｕｐ点集的性质，并证明在一定条件下单点Ｂｌｏｗ－ｕｐ。     

Box－样条曲面的正性条件

研究了Ｂｏｘ－样条曲面的控制点与Ｂｏｘ－样条曲面的正性之间的关系．给出了Ｂｏｘ－样条曲面正性的必要条件、充分条件．由此我们得到了Ｂｏｘ－样条曲面的单调性条件，推广了Ｗ．ＤＡＨＭＥＮ和Ｃ．Ａ．ＭＩＣＣＨＥＬＬＩ在文［２］中给出的Ｂｏｘ－样条曲面的单调性结论     

复杂装备研制协调超网络均衡与实现路径

复杂装备研制主体间呈现社会关系、合作关系、协调关系等网络关系,并且相互影响相互作用,其影响复杂装备研制的重要参数。为有效描述在资源环境约束下制造商和供应商的关系,探讨复杂装备研制协调机理与实现路径,本文利用超网络方法,设计了相互影响、相互作用的社会关系网络、协调网络和合作网络的复杂装备研制协调超网络,并将社会关系水平、协调度和合作水平作为超网络的3个决策变量,建立基于关系价值最大、协调成本最低、协调风险最小、合作收益最大、合作风险最小和成本最小等不同偏好下的多目标最优决策模型,构建了复杂装备研制超网络均衡模型,并利用其探讨超网络均衡和实现路径。     

乡村绿色生态旅游适宜等级VIKOR评估方法

针对乡村绿色生态旅游特征,并考虑旅游者个体感受与群体效益,本文从乡村绿色生态旅游开发与适宜评级概念出发,提出乡村绿色生态旅游适宜等级VIKOR评估模型与方法。首先,从等级评估的概念与内涵出发,刻画乡村绿色生态旅游适宜评级问题,避免混淆旅游适宜评级和排序两个本质不同的问题。然后,构建乡村绿色生态旅游适宜等级评估指标及隶属函数,提出评估指标的熵权确定方法。其次,提出乡村绿色生态旅游适宜等级VIKOR评估模型与二元语义等级评估方法。最后,通过案例研究和比较分析,说明本文所提模型与方法的合理性、可行性与实用性。     

网络团购环境下基于电子中介的商品交易优化模型

在网络团购环境下,如何考虑顾客、商家和电子中介三方主体的利益并实现商品交易最优化,这是一个值得关注的研究问题。本文针对基于电子中介的网络团购商品交易问题,依据商家与电子中介事先商定的团购商品的交易数量区间、交易数量折扣以及顾客和商家分别提交的商品的报价和保留价,在考虑顾客、商家和电子中介三方利益最大化的前提下,构建了多目标商品交易优化模型;进一步地,将多目标优化模型转化为单目标优化模型,并给出了求解优化模型的遗传算法。最后,通过一个算例说明了本文构建的模型及其求解算法的可行性和有效性。     

资源禀赋视角下政府与企业互动行为演化分析

针对政府与企业资源的异质性,从资源禀赋的视角,对政府与企业互动的不同模式(随机合作型、政策驱动型、技术推动型、协作共赢型)的界定与分析,构建政府与企业互动行为的演化博弈模型,明确政府与企业在不同模式下的互动行为演化路径。研究结果表明:政府与企业不同互动模式存在显著差异,不同类型企业与政府之间的互动对应着某种互动模式;不同互动模式的产生和演化契合政企互动关系的发展历程;协作共赢型互动模式是政府与企业互动行为演化的高级阶段,有利于政府与企业形成紧密的合作,激发政府政策资源与企业技术资源的协同效应。     

合作社中“大农吃小农”的博弈研究

大农和小农在资源禀赋方面存在的异质性使得双方在合作社的生产活动和经营管理活动中均存在博弈行为。本文利用完全信息动态博弈理论对大农与小农博弈过程进行分析,双方博弈的结果往往是“大农得益、小农失利”,继而形成了“大农吃小农”的现实。为达到帕累托最优,实现大农“不盘剥”、小农“管理”的博弈均衡,必须建立完善的合作社奖惩激励机制、加大政府对规范型合作社的资金支持力度,降低大农与小农的异质化程度来缩小双方在资源禀赋上的差距,形成大农与小农相互合作、共同受益的局面以促进合作社的持续发展。     

On the use of history of mathematics: an introduction to Galileo's study of free fall motion

In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year university students through Galileo's experiments designed to investigate the motion of falling bodies, and his geometrical explanation of his results, via simple dynamic geometric applets designed with GeoGebra. Our goal was to enhance the students’ development of mathematical thinking. Through a scholarship of teaching and learning study design, we captured data from students before, during and after the activity. Findings suggest that the historical development presented to the students helped to show the growth and evolution of the ideas and made visible authentic ways of thinking mathematically. Importantly, the activity prompted students to question and rethink what they knew about speed and acceleration, and also to appreciate the novel concepts of instantaneous speed and acceleration at which Galileo arrived.     

Interpreting linear systems of equalities and inequalities. Application to the water supply problem

This paper shows how the mathematical and the engineering points of view are complementary and help to model real problems that can be stated as systems of linear equations and inequalities. The paper is devoted to point out these relations and making them explicit for the readers to realize about the new possibilities that arise when contemplating the compatibility conditions or the set of general solutions from the dual perspective. After reviewing an orthogonally based powerful algorithm to analyse the compatibility of linear systems of equations and solving them, a water supply problem is used to illustrate its mathematical and engineering multiple aspects, including the optimal statement of the problem in terms of an adequate selection and numbering of equations and unknowns, an analysis of the compatibility conditions and a physical interpretation of the general solution, together with that of each individual generators of the affine space. The possibilities of removing unknowns without altering the compatibility of the problem is also analysed. Next, the Γ‐algorithm to analyse the compatibility of linear systems of inequalities and solving them is described and then, the water supply problem is revisited adding some constraints, such as capacity limits for the pipes and retention valves, and discussed as to how they affect the resulting general solution and other aspects. Finally, some conclusions are derived. Copyright © 2005 John Wiley & Sons, Ltd.     

利益相关者视角下公路货运超限超载的对策研究——基于演化博弈模型和仿真分析

为有效遏制公路货运超限超载现象,深化交通执法领域的“放管服”改革,本研究针对运输者、稽查人员和交管部门等利益相关者,建立三方演化博弈模型,研究超限超载运输中各利益主体的决策演化过程,并对稳定策略的演化路径进行仿真分析,比较不同参数组合下不同政策力度的治理效果。研究发现,提高超限超载运输的处罚系数可以明显规范运输者的行为;管理成本越低,监管部门的策略越可能向积极监管的方向演化;三方博弈系统存在两种可能的演化稳定策略,加重对稽查人员消极执法行为的处罚、加大资金设备投入能够提高系统向最优状态演化的概率。     

Creep of polymer concrete in the nonlinear region

Two polyester-based polymer concretes with various volume content of diabase as an extender and aggregate are tested in creep under compression at different stress levels. The phenomenological and structural approaches are both used to analyze the experimental data. Common features of changes in the instantaneous and creep compliances are clarified, and a phenomenological creep model which accounts for the changes in the instantaneous compliance and in the retardation spectrum depending on the stress level is developed. It is shown that the model can be used to describe the experimental results of stress relaxation and creep under repeated loading. Modeling of the composite structure and subsequent solution of the optimization problem confirm the possibility of the existence of an interphase layer more compliant than the binder. A direct correlation between the interphase volume content and the instantaneous compliance of the composite is revealed. It is found that the distinction in nonlinearity of the viscoelastic behavior of the two polymer concretes under investigation can be due to the difference in their porosity. Submitted to the 11th International Conference on Mechanics of Composite Materials (Riga, June 11–15, 2000.) Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. 2, pp. 147–164, 2000.     

激光辐照下圆薄板的动态屈曲研究

对强激光辐照下薄板（铜片）的动态热失稳过程进行了分析，得出了简支圆薄板在热冲击下发生的屈曲及后屈曲过程，并给出了临界激光功率密度与薄板厚径比的关系曲线，方法计入了温度分布、惯性项和缺陷大小对于失稳过程的影响。这一工作有利于人们对强激光引起的硬目标破坏机理的认识。