代数基本定理的另一证明

在复变函数论中,用了两种不同的方法证明了代数基本定理。文章从另一种角度:用映射的观点证明该定理。     

New reals: Can live with them,can live without them

We give a self‐contained proof of the preservation theorem for proper countable support iterations known as “tools‐preservation”, “Case A” or “first preservation theorem” in the literature. We do not assume that the forcings add reals. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Value functions,domination cones and proper efficiency in multicriteria optimization

In the absence of a clear objective value function, it is still possible in many cases to construct a domination cone according to which efficient (nondominated) solutions can be found. The relations between value functions and domination cones and between efficiency and optimality are analyzed here. We show that such cones must be convex, strictly supported and, frequently, closed as well. Furthermore, in most applications potential optimal solutions are equivalent to properly efficient points. These solutions can often be produced by maximizing with respect to a class of concave functions or, under convexity conditions, a class of affine functions.     

弱左型B半群的真覆盖

弱型B半群是在半富足半群范围内的广义逆半群.该文利用弱左型B半群真覆盖的定义,给出了弱左型B半群真覆盖的相关性质.特别地,得到了相应于弱左型B半群作用在幂单幺半群上的真覆盖的结构定理.     

Characterization of the organization in shear layers via the Proper Orthogonal Decomposition

Experiments are performed in an incompressible plane turbulent mixing layer, using various hot wire rake configurations. From these experiments, the Proper Orthogonal Decomposition is applied for kernels where the space-time correlation tensor is evaluated over different spatial meshes and velocity components configurations. The resulting decompositions are then discussed in terms of characterization of the organization of the flow for various scalar or vectorial approaches of the POD. An incrtial range law is evidenced. The instantaneous contribution of the first modes of the POD to the organization of the flow is analyzed. A dynamical behavior for the organization of the flow is observed from the correlation between the first two modes contribution.     

线性拟等重码的检错性能

线性拟等重码是一类特殊的等重码，文中利用码等价和线性拟等重与一阶R—M码的关系研究了线性拟等重码的检错性能；并证明了一类特殊的二元线性拟等重码是最佳检错码，并因此得出延长Hamming码是最佳检错码。     

搜索引擎的实用检索技巧

从选择合适的搜索引擎，确定合适的关键词，构造恰当的检索提问式，善于利用高级搜索形式、特殊的检查功能和多元搜索引擎及网络信息资源评价等方面，介绍了利用搜索引擎检索网络信息资源的实用技巧。     

我国当前通货紧缩的成因及相应的货币政策

分析了我国当前通货紧缩的原因，就相应的货币政策的运用进行了理论研究，并进一步提出了若干应对措施。     

也谈朱熹"《诗》教"旨趣

从教育学的立场来说，朱熹“《诗》教”的核心目标在于“导性情之正”；实施的具体途径，则是根据诗歌的特点令受教育者在《诗经》的阅读和学习中感发志意，将正性情内化为自觉的言行规范和精神追求。