危机应对术

回忆去年的情况，用一段比较流行的话来说，基本上眼睛一闭一睁，发现世界变了，箭头的方向变了，指标的颜色变了，公司的形势变了，经营业绩变了。     

因材施教、分类指导 全面提高计算技术达标水平

我校建筑经济设置的计算课程，按照教学大刚要求，珠算技术达标水平由原来的普通六级提高到五普通级，这就为教学工作提出了新的要求，增加了教学难度，为此，经过教学实践摸索，进行了因材施教．分类指导．普遍提高的教学方法的尝试，收到了较好的效果。     

一节精彩的“几何概型”公开课

有幸听到了一节几何概型的公开课，学生配合默契投入，课堂气氛和谐愉快，师生互动风落水上。自然成纹，听课教师如沐春风，耳目一新，更坚定了我们开展探究性学习的信心．这节课通过学生自主学习、主动思考、合作交流、归纳总结，使学生对知识的发生、发展有了切身的感受和清晰的理解，同时也提高了课堂效率，培养了学生的创新能力和实践能力，学生的才智和各种潜能也得到了充分的展示和发挥．     

数学王国历险记

却说众人历尽千辛万苦，终于找到了藏宝处，小兀得到了一个万能调动仪，而三位牧人也找到了他们家的祖传遗产——一个铜盒子。就在小π、小e和小s认真阅读万能调动仪的使用说明书的同时，三位牧人也迫不及待地打开了那个铜盒子，只见里面有几张单据和一封信，牧人们赶紧翻看起来，刚一看完，三人就一起大哭起来．小兀忙问怎么了，牧人们说出一段原委，小靠等人也感到唏嘘不已，只得安慰他们道：“好哥哥，现在的大局是营救孙悟空，待我们解决了这个大问题，然后大家共同商量，我想哥哥们的问题，肯定会有解决办法的．”     

柔中带刚，推陈出新，与新课程接轨——对2008年高考试题（湖北卷）的分析

2008年湖北高考数学试卷贯彻了《考试大纲》和《补充说明》的考试要求，融入了新课程理念，较好的体现了“平稳中重基础、朴实中显特色”的命题思想．全卷题型布局稳中求变，选择题、填空题坡度适当，解答题难易适中，应用题新旧兼顾，探究能力动态考查，合情推测之中隐含着深刻的数学背景．与2007年相比，笔者认为命题更加成熟、规范，正视了文理科考生的差异，合理的设计了文理科试卷的难度系数，     

碾压混凝土坝层面影响带渐变规律分析模型

针对碾压混凝土坝层面影响带具有渐变特性，基于复合材料分析思想，利用串联和并联模型，建立了碾压混凝土坝层面影响带渐变规律分析模型；并根据模型的不同状况，提出了，确定层面影响带厚度瞬时弹性模量、延迟弹性模量以及粘性系数等的方法，揭示了决定层面影响带性质的主要计算参数的渐变规律，表征了层面的渐变特性；在上述研究的基础上，建立了相应的三维粘弹性分析模型，研制了相应的各部分分析程序；实例表明，提出的确定层面影响带主要计算参数的方法以及建立的分析模型比较好地反映了碾压混凝土坝的工作性态。     

指数平均Bezier曲线族

利用指数平均族与Bezier曲线结合定义了指数平均Bezier曲线族．首先研究了指数平均族，阐述了指数平均族的单调性和正规性，其次由Bernstein函数定义得到n次s阶指数平均Bernstein函数，讨论了它与函数f之间的关系，最后，研究指数平均Bezier曲线族的性质，讨论了它的升阶，de casteljan算法，分割定理等．     

关于C_0半群渐近展开的几点注记(英文)

本文考察了Ｃ０半群渐近展开的一些成立条件，得到了一个较一般的结果，最后，给出了它在中子迁移方程中的应用，     

素数阶循环图和经典Ramsey数R（4，n）的三个新下界

研究了素数阶循环圈的基本性质，提出了寻求有效参数构造正则循环圈的新方法，得到了3个经典Ramsey数的新下界：R（4，17）≥164，R（4，18）≥182，R（4，22）≥282．这前2个结果填补了关于Ramsey数综述[2]的上下界表中的2个空白，第3个结果超过了目前已知的最好下界R（4，22）≥258，     

一类由中心对称原子生成的Hardy型空间

对Ｈａｒｄｙ空间Ｈ￣ｑ（Ｒ￣ｎ），，作者引进了一类新Ｈａｒｄｙ型子空间，１＜ｐ＜∞，并且给出了它在Ｍ，Ｆｒａｚｉｅｒ和Ｂ．ＪａＷｅｒｔｎ意义下的变换特征，应用这个特征，我们得到了空间的一些插值定理。特别，对作者还建立了它的Ｌｕｓｉｎ－面积特征     

Forecasting the integration of immigrants

In this research, we develop and introduce a theoretical and mathematical forecasting framework of immigrant integration using immigrant density as a single driver. First, we introduce the integration concepts we aim at forecasting. Thereafter, we introduce a theoretical and mathematical model of the relationship between integration and immigrant density. Based on this model, we develop a methodological forecasting framework. We test the framework using immigrant integration data from Spain. We produce the forecasts, and conduct the proper evaluation of them. Finally, we conclude with a brief discussion of the wider implications of our results.     

一类非线性发展方程的动力学行为

本文通过引入一类Frechet空间,证明了一类与流体力学有关的非线性发展方程的弱解存在着整体吸引子．     

Optimal control of nonlinear evolution inclusions

In this paper, we study the optimal control of nonlinear evolution inclusions. First, we prove the existence of admissible trajectories and then we show that the set that they form is relatively sequentially compact and in certain cases sequentially compact in an appropriate function space. Then, with the help of a convexity hypothesis and using Cesari's approach, we solve a general Lagrange optimal control problem. After that, we drop the convexity hypothesis and pass to the relaxed system, for which we prove the existence of optimal controls, we show that it has a value equal to that of the original one, and also we prove that the original trajectories are dense in an appropriate topology to the relaxed ones. Finally, we present an example of a nonlinear parabolic optimal control that illustrates the applicability of our results.This research was supported by NSF Grant No. DMS-88-02688.     

Endomorphism monoids of free acts and O-wreath products of monoids

Monoids and acts which may have zero elements are considered. In Section 1 we construct a O-wreath product of monoids. In 2 we prove the theorem that the endomorphism monoid of a free act over a monoid with zero can be represented as a O-wreath product. Considering monoids with tero we are interested in their annihilator properties. In 3 we give necessary and sufficient conditions for a O-wreath product of monoids to be a right (left) Baer (Rickart) monoid. In 4 we obtain as a consequence corresponding conditions for the endomorphism monoid of a free act over a monoid with zero.     

Free Adjunction of Morphisms

We develop a general setting for the treatment of extensions of categories by means of freely adjoined morphisms. To this end, we study what we call composition graphs, i.e. large graphs with a partial binary operation on which we impose only rudimentary requirements. The quasicategory thus obtained contains the quasicategory of all categories as a full reflective subquasicategory; we characterize composition graphs for which this reflexion is of a particularly simple nature.This leads to the concept of semicategory; we apply semicategories to solve characterization problems concerning absolutely initial sources, absolute monosources and potential sections. For instance, we show that in any category, the absolutely initial sources are precisely the sources that contain a section.     

On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind

Orthogonal polynomials satisfy a recurrence relation of order two defined by two sequences of coefficients. If we modify one of these recurrence coefficients at a certain order, we obtain the so-called perturbed orthogonal sequence. In this work, we analyse perturbed Chebyshev polynomials of second kind and we deal with the problem of finding the connection coefficients that allow us to write the perturbed sequence in terms of the original one and in terms of the canonical basis. From the connection coefficients obtained, we derive some results about zeros at the origin. The analysis is valid for arbitrary order of perturbation.     

Capability of Crossed Modules of Lie Algebras

In this paper, we introduce the concept of capability for crossed modules of Lie algebras, which is a generalization of capability in Lie algebras and groups. By using a special central ideal of a crossed module, we give a sufficient condition for the capability of a crossed module of Lie algebras. Also, we will extend the five-term exact sequence on homology of crossed modules of Lie algebras one term further and study the connection between the capability of crossed modules and this sequence. Finally, we study the relation between the capability and the center of a cover of a crossed module.     

Properties of the probability density function of the non-central chi-squared distribution

In this paper we consider the probability density function (pdf) of a non-central χ² distribution with arbitrary number of degrees of freedom. For this function we prove that can be represented as a finite sum and we deduce a partial derivative formula. Moreover, we show that the pdf is log-concave when the degrees of freedom is greater or equal than 2. At the end of this paper we present some Turán-type inequalities for this function and an elegant application of the monotone form of l'Hospital's rule in probability theory is given.     

An Approach to the Optimization and Approximation of Solutions of any Operator Inclusion

In this paper we shall present the optimization problem in a set of solutions of operator inclusion with the maximal monotone operator. Then we treat optimization problem by Galerkin method and we prove convergence of optimal values of approximated optimization problems to the one for the original problem. Finally, we apply the results to give a simple example.     

Control of stefan problems by means of linear-quadratic defect minimization

Summary We investigate the following problem: To influence a heat conduction process in such a way that the conductor melts in a prescribed manner. Since we treat a linear auxiliary problem, it suffices to deal with a linear-quadratic defect minimization problem with linear restrictions, where we use splines or polynomials as approximation spaces. In case of exact controllability we derive various order of convergence estimates, which we discuss for some numerical examples.