关键词： 数学算法   评估理论   珠心算   与时俱进   初等数学   心理学   思维科学   符号化   脑科学   中小学数学  

摘要： 算法评估理论,是以珠算与珠心算法为主的各门科学发展的结晶和珠心算科学体系发展的结果。为建立、完善即将出版的这一理论著作,更好地开展珠算心算,今天我就《算法评估学》产生的背景、骨架、意义作以介绍,以便征求专家、学者的意见。

关键词： 算法   算法教学   课程标准   释意  

摘要： 数学算法是为解决数学问题而进行的一组基本操作或者说一组指令.它具有有穷性、确定性以及可行性三点基本性质.算法教学可以从"算法的掌握与实施"、"算法化的创造性活动"、"算法思想的领会"三方面展开进行算法教学将有助于学生数学能力全方位的发展、有利于传统教学方式的转变,并促进数学文化教育的开展.

关键词： 斐波那契   计算之书   中国古代数学   数学传播  

摘要： 通过对斐波那契LiberAbaci英译本《计算之书》(BookofCalculation)的翻译,发现在斐波那契的书中不仅有许多与中国古代数学相近的问题,更重要的是引述了与中国古代数学相近的算法,如分数算法、衰分算法、盈不足术.对《计算之书》的翻译,展示了13世纪东方数学向西方传播的历史画卷,对《计算之书》中与中国古代数学相近的问题和算法的深入研究,将有助于揭开中国古代数学如何传入西方的谜底.

关键词： UNIVERSAL ENVELOPING-ALGEBRAS   YOUNG WALLS   Q-ANALOG   REPRESENTATIONS   COMBINATORICS  

摘要： In this paper, we give a realization of crystal bases of the fundamental representations over U-q(C-n((1))) in terms of Young diagrams k introduced by Premat. Further, we give a generalized Lascoux-Leclerc-Thibon algorithm for computing the global bases. (C) 2004 American Institute of Physics.

关键词： HEAT transfer   AERODYNAMICS   MATHEMATICAL models   NONLINEAR models (Statistics)   HEAT exchangers   TURBINES  

摘要： A mathematical model for investigating the processes in regenerator heat exchangers is described. A finite-difference scheme of numerical integration is proposed for solving the conjugate problem on unsteady heat exchange between one-dimensional flows and a two-dimensional matrix wall. The data of test calculations have been compared with the data of other authors. The quasistationary and dynamic processes in a gas-turbine plant regenerator with a matrix of gauzes have been investigated. The optimum design parameters of such a regenerator and rotor speeds providing a maximum heat efficiency of the regenerator at minimum aerodynamic drags in it have been determined.

关键词： 随机模糊神经网络   误差成本函数   鲁棒参数学习算法  

摘要： 为了解决采用最小方差型的误差成本函数进行输入含噪系统参数学习时的随机模糊神经网络(SFNN)参数不能收敛至真值的问题,将包含噪声方差的误差成本函数推广到多入单出系统,并根据鲁棒统计学理论和目标函数在参数学习中的导向作用,对目标函数进行修正,使之对于不服从统计分布的粗大误差也能有效处理.在此基础上提出了SFNN的鲁棒参数学习算法,并且输入输出数据中的噪声方差也通过学习而得到,从而避免了需要多次测量的要求.结果表明,SFNN的鲁棒参数学习算法能抑制粗大误差和系统噪声.最后,通过仿真对比验证表明了该方法的有效性.

关键词： VIBRATION-ROTATIONAL SPECTRA   INVERTED PERTURBATION APPROACH   POTENTIAL-ENERGY FUNCTIONS   SELF-CONSISTENT APPROACH   RADIAL FUNCTIONS   NONADIABATIC CORRECTIONS   QUANTITATIVE-ANALYSIS   DUNHAM COEFFICIENTS   ANALYTIC TREATMENT   ELECTRONIC STATES  

摘要： The past decade has seen persistent disagreements in the literature and at meetings concerning the validity and physical significance of two different approaches for the reduction of a set of diatomic molecule data to a compact set of parameters defining a potential energy curve and Born-Oppenheimer breakdown (BOB) radial functions. This paper explains the apparent discrepancies between an algebraic method championed by J.F. Ogilvie and a numerical method pioneered by J.A. Coxon. It confirms the validity of the central underlying assumption of both approaches, namely, that spectroscopic data for one or multiple isotopomers can be reduced accurately to a compact set of parameters characterizing the potential energy and BOB radial functions, and it shows that the values of those parameters should not depend on which method is used to determine them. The previously reported discrepancies arose because of a truncation convention applied in Ogilvie's algebraic RADIATOM code. Because of that convention, eigenvalues of the Schrodinger equation generated using published potential energy and BOB functions determined using RADIATOM will not accurately reproduce the input data used in the analyses. However, if that truncation convention is not applied and the Dunham-type expansions are summed to convergence, algebraic analyses yield results essentially identical to those obtained from direct numerical-fit methods. Tests reported herein also support Watson's [J. Mol. Spectrosc. 217 (2003) 157] assertion that electric dipole moments and rotational g-factors cannot be determined only from transition energy data obtained in the absence of external fields. (C) 2004 Elsevier Inc. All rights reserved.

关键词： 数学教学   算法思想   算法数学   思辩数学   计算机技术  

摘要： 主要阐述在当今计算机科学不断发展条件下 ,数学教育观念如何更新问题 ,特别是针对数学教育过程中算法与思维的辨证统一 。

关键词： 尘埃粒子   反演   遗传算法   优化   最小二乘法.  

摘要： 提出了一种用改进的自适应遗传算法与最小二乘法相结合的方法来处理尘埃粒子的数学模型 ,从而解决了由最小二乘法带来的概率负值问题 ,也使计数器测量数据的稳定性得到了很大的提高 ,即仪器工作稳定性误差控制在 5 %以内。经验证 。

关键词： 组卷策略   算法设计   计算机   试题库   分组   优化   系统   命题   组卷算法   试题质量  

摘要： 在计算机命题系统中,组卷试题质量是命题系统是否科学的关键,因此组卷策略的设计是最重要的环节。从设计组卷策略的角度出发,针对高等数学命题,详细介绍了一种简洁、实用、易于实现的组卷策略的实现过程。介绍的组卷策略算法由3部分组成:试题属性项定义、组卷参数的定义、组卷算法优化与实现。