局部C半群与抽象Cauchy问题的弱解

利用局部C半群的基本理论,得到了抽象Cauchy问题存在唯一弱解的等价定理及推论.     

Interstitial and pseudo gaps in models of Peano Arithmetic

In this paper we study the automorphism groups of models of Peano Arithmetic. Kossak, Kotlarski, and Schmerl [9] shows that the stabilizer of an unbounded element a of a countable recursively saturated model of Peano Arithmetic M is a maximal subgroup of Aut(M) if and only if the type of a is selective. We extend this result by showing that if M is a countable arithmetically saturated model of Peano Arithmetic, Ω ? M is a very good interstice, and a ∈ Ω, then the stabilizer of a is a maximal subgroup of Aut(M) if and only if the type of a is selective and rational (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

非齐次A-调和方程弱解的局部极值原理

研究非齐次A-调和方程divA(x,▽u(x))=B(x,▽u(x)),其满足〈A(x,h),h〉≥α|h|~p,|A(x,h)|≤β|h|~(p-1)+g(x),|B(x,h)|≤γ|h|~(p-1).应用Moser迭代法证明其弱解满足局部极值原理,并进一步得出弱解的内部估计和全局估计.     

营销情境中的心理契约概念及其测度研究

本文在文献回顾基础上,将组织行为学中的心理契约概念应用到营销情境中,界定了特定的概念内涵,开发设计了相应的测度量表。通过调查数据分析,对量表的信度与效度进行了实证检验。     

Weak Invariance Principle for the Local Times of Partial Sums of Markov Chains

Let {X _n } be an integer-valued Markov chain with finite state space. Let $S_{n}=\sum_{k=0}^{n}X_{k}$ and let L _n (x) be the number of times S _k hits x∈? up to step n. Define the normalized local time process l _n (t,x) by The subject of this paper is to prove a functional weak invariance principle for the normalized sequence l _n (t,x), i.e., we prove under the assumption of strong aperiodicity of the Markov chain that the normalized local times converge in distribution to the local time of the Brownian motion.     

L-拓扑空间的弱局部强F紧性及单点强F紧化

以R.Lowen的强F紧性为基础,定义了L-拓扑空间的弱局部强F紧性及单点强F紧化,推广了有关弱局部紧拓扑空间和拓扑空间的单点紧化的若干结果,证明了L-拓扑空间的弱局部强F紧性是拓扑空间的弱局部紧性的L-推广。     

Universal space in the Cartesian product of Peano curves without free arcs

We prove that there is the universal space for the class of n-dimensional separable metric spaces in the Cartesian product K₁×?×Kn+1 of Peano curves without free arcs. It is also shown that the set of embeddings of any n-dimensional separable metric space X into this universal space is a residual set in C(X,K₁×?×Kn+1). Other properties of product of Peano curves without free arcs are also proved.     

Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education

This article focuses on a form of instructional design that is deemed fitting for reform mathematics education. Reform mathematics education requires instruction that helps students in developing their current ways of reasoning into more sophisticated ways of mathematical reasoning. This implies that there has to be ample room for teachers to adjust their instruction to the students' thinking. But, the point of departure is that if justice is to be done to the input of the students and their ideas built on, a well-founded plan is needed. Design research on an instructional sequence on addition and subtraction up to 100 is taken as an instance to elucidate how the theory for realistic mathematics education (RME) can be used to develop a local instruction theory that can function as such a plan. Instead of offering an instructional sequence that “works,” the objective of design research is to offer teachers an empirically grounded theory on how a certain set of instructional activities can work. The example of addition and subtraction up to 100 is used to clarify how a local instruction theory informs teachers about learning goals, instructional activities, student thinking and learning, and the role of tools and imagery.     

Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education

This article focuses on a form of instructional design that is deemed fitting for reform mathematics education. Reform mathematics education requires instruction that helps students in developing their current ways of reasoning into more sophisticated ways of mathematical reasoning. This implies that there has to be ample room for teachers to adjust their instruction to the students' thinking. But, the point of departure is that if justice is to be done to the input of the students and their ideas built on, a well-founded plan is needed. Design research on an instructional sequence on addition and subtraction up to 100 is taken as an instance to elucidate how the theory for realistic mathematics education (RME) can be used to develop a local instruction theory that can function as such a plan. Instead of offering an instructional sequence that "works," the objective of design research is to offer teachers an empirically grounded theory on how a certain set of instructional activities can work. The example of addition and subtraction up to 100 is used to clarify how a local instruction theory informs teachers about learning goals, instructional activities, student thinking and learning, and the role of tools and imagery.     

A New Type of Stretched Solutions Excited by Initially Stretched Vortex Filaments for the Local Induction Equation

We solve the initial value problem of the stretched vortex filament with the local induction equation and obtain a new type of stretched solution analytically, a solution that was suggested numerically. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 2, pp. 354–363, August, 2005.     

A Remark on the Weak Topology and the Degree

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Weak convergences of probability measures: A uniform principle

We consider a set of probability measures on a locally compact separable metric space. It is shown that a necessary and sufficient condition for (relative) sequential compactness of in various weak topologies (among which the vague, weak and setwise topologies) has the same simple form; i.e. a uniform principle has to hold in . We also extend this uniform principle to some Köthe function spaces.

     

A Study of Local Sign Change Adjustment in Balancing Structures

The adjustment of signed structures (symmetric positive and negative relations) under a local (myopic) sign-change dynamic is studied both analytically and through simulation. Models deriving from various theories but notably balance theory are inspected to determine the convergent properties of the dynamic process.     

Weak Convergence of a Nonlinear Functional of a Stationary Gaussian Process. Application to the Local Time

Let {X _t : 0 ≦ t ≦ 1} be a centered stationary Gaussian process, with correlation function satisfying the condition ρ(t) = 1 − t ^β L(t), 0 < β < 2, and let L be a slowly varying function at zero. Observing the process at points i/N, i = 0,1,..., N and considering |X _i/N − X _(i-1)/N | ^p with p > 0, we study the properties of the Donsker line associated with p-th order variations . We also study the relationship between the number of crossings of a regularization of the initial process and the local time of the initial process. The results depend on the values of β. This revised version was published online in June 2006 with corrections to the Cover Date.