关键词： 算法   算法描述   算法实现   新课改  

摘要： 本文从《普通高中数学课程标准》(实验稿)出,结合算法特性,算法描述,算法实现讨论对算法如何实施教学。

关键词： VARIATIONAL INEQUALITY CONSTRAINTS   EQUILIBRIUM CONSTRAINTS   EXACTPENALIZATION   BILEVEL   POINT  

摘要： In this paper, we propose a new algorithm for solving mathematical programs with linear complementarity constraints. The algorithm uses a method of approximately active search and introduces the idea of acceptable descent face. The main advantage of the new algorithm is that it is globally convergent without requiring strong assumptions such as nondegeneracy or linear independence condition. Numerical results are presented to show the effectiveness of the algorithm.

关键词： Visual   C++   边缘检测   结构元素   数学形态学   DIB文件  

摘要： 应用数学形态学理论,利用VC++6 0执行效率高,可继承、封装、移植等成熟的软件技术,替代常用的图像处理仿真工具Matlab,开发出快速、准确、灵活的图像处理应用软件,对任意灰度图像进行边缘检测处理·

关键词： 初创公司   CellMath库   数据库   数学算法   知识产权  

关键词： 模糊数学   综合评判法   C++Builder  

摘要： 综合评判法作为模糊数学的一种具体应用方法,在很多领域,特别是社会科学中得到了广泛的运用.由于综合评价法的数学模型简单、容易掌握,更适合于对多因素、多层次的复杂问题的评估.本文介绍了建立在模糊数学原理与方法基础上的综合评价法的算法,并以C++Builder5为开发平台实现了这个算法的主要功能.

关键词： 模糊逻辑系统   参数学习   误差成本函数  

摘要： 当采用最小方差型的误差成本函数进行输入含噪系统的参数学习时 ,参数不能收敛至真值 ,利用包含噪声方差的误差成本函数可解决此问题 .本文将此误差成本函数推广到多入单出系统 ,将之引入到模糊逻辑系统的参数学习中 ,并且输入输出数据中的噪声方差也通过学习而得到 ,不必进行多次测量 .最后通过仿真对比验证表明了该方法的有效性 .

关键词： 模拟   平衡级模型   非平衡级模型   非平衡池模型   算法  

摘要： 反应精馏将反应和分离操作耦合在相同塔中,近年来发展迅速,本文对稳态反应精馏过程模拟的平衡级模型、非平衡级模型和非平衡池模型及其求解算法进行了分析综述,为反应精馏过程的数学建模、模拟分析及优化设计提供了方法。

关键词： 分解炉   温度控制   数学模型   回归分析   BP神经网络  

摘要： 利用回归分析的方法 ,建立了分解炉温度的数学模型 。

关键词： limestone   stochastic simulation   trace length   fracture spacing  

摘要： A statistical, rule-based algorithm for generating fracture patterns similar to those observed in Limestone is presented. For each fracture set, initial seed points are randomly positioned within the modelled domain with the same density as the fractures observed in the field. An orientation is associated with each point by sampling from the distribution of orientations for the corresponding fracture set. Fractures are then allowed to grow from the seed points in both directions with this orientation until they meet other fractures whereupon they continue or terminate according to a fixed probability. A mathematical analysis of this method is presented for the case in which fractures within a set are assumed to be parallel. Approximations to the distribution of semi-trace lengths are derived which are shown to be in good agreement with simulation results. Fracture spacing distributions are also derived for this case.

关键词： Structural analysis   Algorithms   Reaction products   Differentiation   Chemical engineering and industrial chemistry  

摘要： Mathematical modeling of dynamic chemical engineering systems such as flow-sheet simulation, transient analysis of reaction and separation networks, computational fluid dynamic, or control problems often leads to systems of differential-algebraic equations (DAEs). Knowing the index of a DAE is an important prerequisite for its consistent initialization and its numerical solution. For large sets of DAEs occurring in chemical engineering practice, index analysis requires computational procedures. This paper presents a new approach for automatic index analysis. Earlier index analysis algorithms were based on purely structural calculus. Unfortunately, structural methods may actually arbitrarily over- or underestimate the correct DAE index. To overcome the shortcomings of existing approaches, this paper proposes a novel algorithm expanding DAE analysis to include both symbolic and numerical information. The novel symbolic numerical analysis accounts for variable cancellation and processes linear expressions accurately. For the case of purely linear DAE, the new method is rigorous. For the general nonlinear DAE, the novel approach gives a more precise picture in most cases. The paper introduces the theory supporting the methodology and provides the proof of concept with small illustrative examples.