关键词： PARTICLE swarm optimization   ALGORITHMS   FOURIER transform infrared spectroscopy   COPOLYMERS   POLYMETHYLMETHACRYLATE  

摘要： A particle swarm optimization algorithm is applied for mathematical treatment of Fourier-transform IR spectra of branched copolymers of methyl methacrylate. The efficiency of reconstruction of the spectra using the particle swarm optimization algorithm as compared with the least squares method is illustrated by the example of decomposition of a six-component experimental spectrum.

关键词： (Max, plus ) algebra   Genetic algorithms   Artificial intelligence   Flow networks   System modeling  

摘要： The following work addresses the problem of scheduling operations on a flow network, as well as alignment (path) allocation. This is a multi-objective problem, and this paper proposes a solution method through a hybrid approach based on a genetic algorithm in conjunction with (max, +) algebra. A concise system abstraction is proposed through a non-linear (max, +) model. This model describes the main optimization constraints which dictate the behavior of the mutation and crossover operations in the genetic algorithm. Additionally, each individual in the population represents the value assignment of the decision variables, which linearizes the (max, +) model. A hierarchic genetic structure is proposed for individuals such that variable dependence is modeled. For each individual, the (max, +)-linear model is solved through a matrix product which determines the daters for alignment enabling for transfer operations. The study is extendable to complex net-structured systems of different nature. (C) 2017 Elsevier B.V. All rights reserved.

关键词： 小学数学   计算教学   算理和算法结合  

摘要： 计算在小学数学课程中占据了非常重要的位置,计算能力是学生必备的一种基本能力。在计算教学中,算理和算法是相辅相成,缺一不可的两个方面。本文将从用活情境、动手操作、数形结合、巧设练习四个方面阐述如何把算理和算法有效结合,凸显计算教学的有效性。

关键词： 排课系统   多策略   数学算法   系统设计  

摘要： 目的在于研究基于多策略数学算法优化设计排课系统。在当前实际的教学之中,在排课方面还在应用传统的手工排课方式,效率低浪费时间,运用多策略数学算法,优化设计信息化的排课系统,能够有效降低排课效率低,并还可以从排课过程中的供需平衡、约束以及因素间紧密程度进行分析,并设计多策略排课算法,尽量将课表安排得更符合教学规律,基于该算法设计实现排课系统。结果证实,基于多策略数学算法,设计排课系统,不仅可以缩短排课时间,还可以使得排课结果更符合教学规律,提升系统设计实现效益。结论表明,可以在实践中基于多策略数学算法设计排课系统,能够解决常规排课问题,发挥积极影响。

关键词： 细胞计数   图像   预处理   数学形态学  

摘要： 提出一种基于二值数学形态学的显微血红细胞计数方法.对细胞图像依次进行灰度化、二值化、形态学处理,最后进行细胞数量统计.实验结果表明:该计数算法能使图像中的红细胞被有效地识别出来,与人工计数的结果比较,该方法误差在控制2%以内,这有助于提高显微细胞检测的工作效率.

关键词： Algebra  

摘要： This paper is aimed to show that specialized neural networks can be useful for finding exact solutions of the recognition problems involving binary data. For this purpose, as an original subclass, we take the subclass of estimates calculation algorithms (ECAs) in which all algorithms correspond to three-level multilayer neural networks (μ-blocks). The correctness conditions are defined that allow a correct algorithm to be constructed in the algebra over this ECA subclass for each Ω-regular recognition problem. This approach does not require additional constraints, except for a trivial one, on the system of ECA support sets. © 2017, Pleiades Publishing, Ltd.

关键词： 小学数学   算法   算理   教学策略  

摘要： 小学计算教学中计算算理是数学教学的一个重要内容,理解算理、掌握算法是计算教学的核心之一,算理教学有助于培养学生的数学思维能力。

关键词： Algebra   multipath routing   quality-of-service (QoS)  

摘要： The diversity of quality-of-service (QoS) requirements of Internet applications motivates various QoS routing algorithms that take different QoS metrics into consideration. Routing algebra has been proposed as a framework to study the fundamental properties of QoS routing algorithms, such as their optimality and loop-freeness. However, for multipath QoS routing, little has been done in these aspects. Existing multipath QoS routing algorithms often take a rather conservative approach to guarantee loop-freeness, at the cost of efficiency. On the other hand, simply adapting existing efficient multipath routing algorithms to support various QoS metrics cannot guarantee correctness. In face of that, we propose a routing metric algebra for multipath QoS routing in link state networks, where a key property of the routing metrics called isotonicity, which plays an important role. To let routers efficiently and correctly find multiple next-hops for each destination, we also develop two distributed multipath QoS routing algorithms. The algorithms are run locally and independently, without exchanging messages other than the basic link states. They are specifically tailored for algebras with strict or non-strict isotonicity, and their correctness is formally proved.

关键词： Uniform approximation   levelling algorithm   proximity map   bolt  

摘要： In 1951, Diliberto and Straus [5] proposed a levelling algorithm for the uniform approximation of a bivariate function, defined on a rectangle with sides parallel to the coordinate axes, by sums of univariate functions. In the current paper, we consider the problem of approximation of a continuous function defined on a compact Hausdorff space by a sum of two closed algebras containing constants. Under reasonable assumptions, we show the convergence of the Diliberto-Straus algorithm. For the approximation by sums of univariate functions, it follows that Diliberto-Straus's original result holds for a large class of compact convex sets.