An algorithm for constrained convex optimization

This paper presents a feasible direction algorithm for the minimization of a pseudoconvex function over a smooth, compact, convex set. We establish that each cluster point of the generated sequence is an optimal solution of the problem without introducing anti-jamming procedures. Each iteration of the algorithm involves as subproblems only one line search for a zero of a continuously differentiable convex function and one univariate function minimization on a compact interval.     

Subsampling tests for variance changes in the presence of autoregressive parameter shifts

In this paper, we consider the problem of testing for variance changes in the linear autoregressive processes including AR(p) processes when there are autoregressive parameter shifts. In performing a test, we employ the conventional residual CUSUM of squares test (RCUSQ) statistic. The RCUSQ test is based on the subsampling method introduced by Jach and Kokoszka (2004) [16] to eliminate the influence caused by autoregressive parameter shifts. It is shown that under regularity conditions, the test statistic behaves asymptotically the function of a standard Brownian bridge. We establish the asymptotic validity of this method and assess its performance both theoretically and numerically.     

基于传导变换的传导知识研究

基于传导变换的传导知识是一类重要的可拓知识.本文以传导变换和传导效应为基础,规定了传导度和传导知识的定义与类型,为研究传导知识的挖掘奠定理论基础.     

主成分方法用于聚类分析

本文提出一种新的聚类分析方法，它通过主成分分析简化数据，将原样品转化成单指标有序样品，然后利用有序样品的系统聚类法加以分类．其特点是计算量小，节省计算机内存．文中附有一个实例对算法进行说明．     

新型冠状病毒检测以及相关药物研发中的基础药学知识

Abundant basic pharmaceutical knowledge is involved in the detection of SARS-CoV-2 and the discovery and development of antiviral drugs. This paper gives detailed summary and provides rich materials for case teaching.     

Music as Embodied Mathematics: A Study of a Mutually Informing Affinity

The argument examined in this paper is that music – when approached through making and responding to coherent musical structures,facilitated by multiple, intuitively accessible representations – can become a learning context in which basic mathematical ideas can be elicited and perceived as relevant and important. Students' inquiry into the bases for their perceptions of musical coherence provides a path into the mathematics of ratio,proportion, fractions, and common multiples. Ina similar manner, we conjecture that other topics in mathematics – patterns of change,transformations and invariants – might also expose, illuminate and account for more general organizing structures in music. Drawing on experience with 11–12 year old students working in a software music/math environment, we illustrate the role of multiple representations, multi-media, and the use of multiple sensory modalities in eliciting and developing students' initially implicit knowledge of music and its inherent mathematics. This revised version was published online in July 2006 with corrections to the Cover Date.     

一种电阻率测量方法

介绍了一种无接触测电阻率的实验原理．方法以及对六种硅试样的测量结果．     

A Sequent Calculus for Propositional Dynamic Logic for Agents

We consider propositional dynamic logic for agents. For this logic, we present a sequent calculus with a restricted cut rule and prove the soundness and completeness for the calculus.     

基于团队的知识共享和知识形成机理研究

越来越多的企业开始采用以团队为基础的组织结构，团队的核心能力在于能够实现知识共享，因此对团队知识共享及形成进行研究有着重要意义。本在阐述以团队为基础的组织与官僚层级制组织相比更有利于知识共享的基础上，从心理学和经济学的角度分析了团队知识共享的理论基础，指出了团队知识管理的三个误区，并首次提出了团队知识形成的三种机制和途径：事前学习、事中学习和外部学习。     

Evolutionary dynamics of knowledge

This study discusses the evolutionary nature of knowledge acquisition at micro and macro levels, and in particular when the process involves an artificial agent's interpretative devices. In order to accomplish this, we propose using an individual learning model (or inner‐world reconstruction model) that in our view overcomes neoclassic epistemological holdups and may increase the predictive power of computational economics, by letting an artificial agent's knowledge evolve by itself, irrespective of globally specified goals or individual motives of behavior; using simultaneous (or parallel) genetic algorithms (GA) to evolve a single agent's learning strategy, each GA with different general specifications, in a multiagent setting. © 2006 Wiley Periodicals, Inc. Complexity 11: 12–19, 2006