第二类典型域的Busemann函数

本文给出了第二类典型城的 Ｂｕｓｅｍａｎｎ函数．证明了下面的定理：对 Ｒ-ＩＩ（ｐ）中通过０点的任一测地线其中Ｕ为 ｐ阶酉方阵,．则由ｒ决定的 Ｂｕｓｅｍａｎｎ函数为：．其中 为下列矩阵的对角元素：     

第二类典型域的Busemann函数

本文给出了第二类典型城的 Ｂｕｓｅｍａｎｎ函数．证明了下面的定理：对 Ｒ-ＩＩ（ｐ）中通过０点的任一测地线其中Ｕ为 ｐ阶酉方阵,．则由ｒ决定的 Ｂｕｓｅｍａｎｎ函数为：．其中 为下列矩阵的对角元素：     

The Epistemic Relevance of Morphological Content

Morphological content is information that is implicitly embodied in the standing structure of a cognitive system and is automatically accommodated during cognitive processing without first becoming explicit in consciousness. We maintain that much belief-formation in human cognition is essentially morphological: i.e., it draws heavily on large amounts of morphological content, and must do so in order to tractably accommodate the holistic evidential relevance of background information possessed by the cognitive agent. We also advocate a form of experiential evidentialism concerning epistemic justification—roughly, the view that the justification-status of an agent’s beliefs is fully determined by the character of the agent’s conscious experience. We have previously defended both the thesis that much belief-formation is essentially morphological, and also a version of evidentialism. Here we explain how experiential evidentialism can be smoothly and plausibly combined with the thesis that much of the cognitive processing that generates justified beliefs is essentially morphological. The leading idea is this: even though epistemically relevant morphological content does not become explicit in consciousness during the process of belief-generation, nevertheless such content does affect the overall character of conscious experience in an epistemically significant way: it is implicit in conscious experience, and is implicitly appreciated by the experiencing agent.     

The Generalized Moment Problem with Complexity Constraint

In this paper, we present a synthesis of our differentiable approach to the generalized moment problem, an approach which begins with a reformulation in terms of differential forms and which ultimately ends up with a canonically derived, strictly convex optimization problem. Engineering applications typically demand a solution that is the ratio of functions in certain finite dimensional vector space of functions, usually the same vector space that is prescribed in the generalized moment problem. Solutions of this type are hinted at in the classical text by Krein and Nudelman and stated in the vast generalization of interpolation problems by Sarason. In this paper, formulated as generalized moment problems with complexity constraint, we give a complete parameterization of such solutions, in harmony with the above mentioned results and the engineering applications. While our previously announced results required some differentiability hypotheses, this paper uses a weak form involving integrability and measurability hypotheses that are more in the spirit of the classical treatment of the generalized moment problem. Because of this generality, we can extend the existence and well-posedness of solutions to this problem to nonnegative, rather than positive, initial data in the complexity constraint. This has nontrivial implications in the engineering applications of this theory. We also extend this more general result to the case where the numerator can be an arbitrary positive absolutely integrable function that determines a unique denominator in this finite-dimensional vector space. Finally, we conclude with four examples illustrating our results.     

The Multidimensional Moment Problem with Complexity Constraint

A long series of previous papers have been devoted to the (one-dimensional) moment problem with nonnegative rational measure. The rationality assumption is a complexity constraint motivated by applications where a parameterization of the solution set in terms of a bounded finite number of parameters is required. In this paper we provide a complete solution of the multidimensional moment problem with a complexity constraint also allowing for solutions that require a singular measure added to the rational, absolutely continuous one. Such solutions occur on the boundary of a certain convex cone of solutions. In this paper we provide complete parameterizations of all such solutions. We also provide errata for a previous paper in this journal coauthored by one of the authors of the present paper.     

和高阶约束相联系的可积系统

对（１＋１）维可积系统，本文在零曲率方程表示理论框架内，给出统一的方法去构造和高阶约束相联系的有限维可积系统，导出这些系统的守恒积分的生成函数，证明它们的可积性，并进而把一族（１＋１）维可积系统中的每一个方程分解为两个可交换的有限维可积的Ｈａｍｉｌｔｏｎ系统。     

带模糊约束的最小费用流问题

本文首次提出了带模糊约束的最小费用流问题,建立了相应的数学模型并给出了求解这一模型的有关算法。最后,给出了一个具体实例。     

The Discrete and Classical Dirichlet Problem

Let W ì \mathbbR^d{\Omega \subset \mathbb{R}^d} be some bounded domain with reasonable boundary and let f be a continuous function on the complement Ω ^c . We can construct an unique continuous function u that is harmonique on Ω and u = f on Ω ^c . Similarly, u _d is the unique function on the lattice points such that for each lattice point of Ω satisfies the “average” property with respect to its nearest neighbours and u _d = f on Ω ^c . In this paper when ∂Ω is Lipschitz I give a “best possible” estimate of ||u − u _d ||_∞.     

The Classical Economic Order Quantity Formula

Most continuous time inventory models which allow for the stochastic nature of demands usually include a delivery lag. This disguises a close link between deterministic and stochastic formulations of the inventory problem. By assuming that there is no delivery lag a stochastic version of the classical economic lot size model is developed. It yields the traditional square root formula where the constant demand term is replaced by mean demand.     

两类有关产品检测古典概率的近似计算

彭求实．两类有关产品检测古典概率的近似计算．数理统计与管理，１９９７，１６（４），３３～３６．本文改进了一个关于阶乘的不等式，并在此基础上，对有关产品检测的两类古典概率——二次分布和超几何分布的近似计算问题进行了讨论     

Classical operators on BLOCH spaces

Let \mathbbD \mathbb{D} ⁿ denote the unit polydisk and let B _n denote the unit ball in \mathbbC \mathbb{C} ⁿ , n ≥1. We study weighted composition operators on the α-Bloch spaces B^a {\mathcal{B}^\alpha } ( \mathbbD \mathbb{D} ⁿ ), α > 1. We also study Cesàro type operators on the α-Bloch spaces B^a {\mathcal{B}^\alpha } (B _n ), α > 0. Bibliography: 15 titles.     

经典差商公式的推广

在结点互异或结点重合时,将函数差商与其导数之间的关系式推广为关于两个函数的情形.     

The Classical Theory of Zeta and L-Functions

This expository paper is devoted to basic facts about Zeta and L-functions, following to some extent the historical development of the subject.     

The Carter Subgroups of Some Classical Groups

It is shown that a Carter subgroup of a non-soluble unitarygroup can only be the normalizer of a Sylow 2-subgroup. Thisresult, combined with previous results, implies that no finitesimple group can be a minimal counterexample to the conjugacyconjecture of Carter subgroups in a finite group. 2000 MathematicsSubject Classification 20D25, 20D05, 20E07.     

关联分析的方法及应用

提出了根据采集的数据来分析其关联程度的方法 .     

金融约束对股票收益的影响

本文在我国沪市A股环境下考察金融约束对股票收益的影响．主要运用多元回归方法测试金融约束与股票收益的关系．金融约束因子是反映丁公司资产投资的能力，综合内部运作状况和外部经济环境的特征量，通过数学建模和实证分析发现：股票收益中的确存在金融约束因子，且金融约一般导致股票收益水平下降；此因子与公司规模、流通股本比例等因素相对独立。     

The Study of Abstract Economies with Two Constraint Correspondences

We apply the Himmelberg fixed-point theorem to establish existence theorems of equilibria for generalized abstract economies with two constraint correspondences in which the strategic spaces may not be compact and the set of players may not be countable. Our results have applications in other sciences or disciplines (e.g. game theory, optimization theory and economics) in our subsequent paper. This research was supported by the National Science Council of Republic of China.