抓好数学建模竞赛 推动数学教学改革

本文通过近几年组织数学建模教学和指导学生参加竞赛的实践 ,探索抓好数学建模竞赛 ,促进数学教学改革 ,推动数学素质教育 ,提高人才培养质量的途径、措施和方法     

Little higgs models and T parity

Little Higgs models are an interesting extension of the Standard Model at the TeV scale. They provide a simple and attractive mechanism of electroweak symmetry breaking. We review one of the simplest models of this class, the Littlest Higgs model, and its extension with T parity. The model with T parity satisfies precision electroweak constraints without fine-tuning, contains an attractive dark matter candidate, and leads to interesting phenomenology at the Large Hadron Collider (LHC).     

The Level-split of the Two-level Entangled Atom in an Optical Field

The behavior of a two-level entangled atom in an optical field with circular polarization is studied in this paper. The interaction of an optical field and one of the entangled atoms is analyzed in detail. A general solution of the SchrAo¨Gdinger equation about the motion of the entangled atom is obtained. The properties of the action are dependent on the initial state of the atom. By detecting the entangled atom out of the field, we can obtain the state of the other atom moving in the field. It is shown that the state of the atom out of the field will influence the energies of the split-levels of the atom in the field.     

Lorentz-Compton佯谬与一个双赢判决性散射实验设计

通过对“可见光区域是否存在Compton效应”的讨论而进一步深化到经典条件下“光的量子理论能否包含光的经典电磁理论”的实验验证,发现了Lorentz-Compton佯谬,并基于逆Compton散射设计了一个敏感而又可行的双赢判决性散射实验来解决此佯谬。     

矛盾的根本属性与对外开放

矛盾根本属性原理是我们做好的对外开放工作的指导思想。在对外开放过程中，社会主义中国同国际资本主义双方的矛盾同一性是占据主导地位的，同时也必然存在着矛盾斗争性，但这是第二位的。我们应正确处理对外开放中矛盾同一性与斗争性的关系，着眼于矛盾双方的同一性，使必要的斗争性服务与服从于同一性，以利于对外开放基本国策的实施，加速中国社会主义现代化建设的进程。     

儒家以德治国思想的历史反思

儒家德治思想是中国几千年来占据主导地位的治国思想。儒家把统计者立身惟正，修德示范作为治国前提，而把提高官吏道德修养作为治国关键。同时儒家也认识到法治的作用，提出要教而后刑，主张德主刑辅。通过树立榜样示范作用，兴学校明教化正民心等方法实现其治国思想，传统儒家德治思想对今天的德治建设有一定的借鉴意义，对国家经济发展和社会进步起着不可替代的作用。     

试论新时期反腐力度与反腐目标

研究新时期反腐败力度有助于我们正确评价当前腐败现状和反腐形势，了解反腐工作的成绩和不足，制定更加行之有效的反腐策略，从而更好地扼制腐败。当前，从反腐强度和反腐深度来看，从各种反腐策略的运用所达到的反腐目标的程度来看，新时期反腐已达到了一定的程度，但与反腐目标的实现相比，仍不足，需要进一步加强。     

一阶线性非齐次微分方程求解方法的讨论和一个简化的求解方法

本文证明了一阶线性非齐次微分方程y＇+P(x)·y=f(x)三个求解方法:参数变易法、积分公式、积分因子法之间的等同关系.从参数变易法中引出一个简化的积分公式.事实上此公式恰是对用参数变易法解高阶线性非齐次微分方程时对n=1的拓广.最后以实例验证此公式的简易.     

Speedup estimates for some variants of the parallel implementations of the branch-and-bound method

The efficiency of parallel implementations of the branch-and-bound method in discrete optimization problems is considered. A theoretical analysis and comparison of two parallel implementations of this method is performed. A mathematical model of the computation process is constructed and used to obtain estimates of the maximum possible speedup. Examples of problems in which none of these two parallel implementations can speed up the computations are considered.     

A Joint Integral Test for the Locations of Extrema for Brownian Motion

Let μ⁺(t) and μ⁻(t) be the locations of the maximum and minimum, respectively, of a standard Brownian motion in the interval [0,t]. We establish a joint integral test for the lower functions of μ⁺(t) and μ⁻(t), in the sense of Paul Lévy. In particular, it yields the law of the iterated logarithm for max(μ⁺(t),μ⁻(t)) as a straightforward consequence. Our result is in agreement with well-known theorems of Chung and Erdős [(1952) Trans. Amer. Math. Soc. 72, 179–186.], and Csáki, F?ldes and Révész [(1987) Prob. Theory Relat. Fields 76, 477–497].