关键词： 牛顿切线法   雅可比迭代法   高斯-赛德尔迭代法  

摘要： 本文讲述了运用C语言来编写求一元二次、一元三次和多元线性方程的解的思路方法。首先对每个功能方法的原理进行阐述,最后我们对计算出来的结果进行了检验。在方程中,我们用到公式法、牛顿切线法、雅可比迭代法和高斯-赛德尔迭代法。

关键词： Line balancing   Multi-manned workstations   Ant colony optimization   Cycle time  

摘要： In real-world assembly lines, that the size of the product is large (e.g., automotive industry), usually there are multi-manned workstations where a group of workers simultaneously perform different operations on the same individual product. This paper presents a mixed integer programming model to solve the balancing problem of the multi-manned assembly lines optimally. This model minimizes the total number of workers on the line as the first objective and the number of opened multi-manned workstations as the second one. Since this problem is well known as NP (nondeterministic polynomial-time)-hard, a heuristic approach based on the ant colony optimization approach is developed to solve the medium- and large-size scales of this problem. In the proposed algorithm, each ant tries to allocate given tasks to multi-manned workstations in order to build a balancing solution for the assembly line balancing problems by considering the precedence relations, multi-manned assembly line configuration, task times, and cycle time constraints. Through computational experiments, the performance of the proposed ACO is compared with some existing heuristic on various problem instances. The experimental results validate the effectiveness and efficiency of the proposed algorithm.

关键词： Convolutional encoder   Grobner basis   Syndrome matrix   Algebraic decoder   Maximum likelihood decoder  

摘要： A representation of an multidimensional (m-D) convolutional encoder is analogous to the representation of a transfer function for a MIMO m-D FIR system. The encoder matrix is usually not square and thus finding its inverse (decoder matrix) typically employs the Moore-Penrose generalized inverse. However, the result may not be FIR (polynomial matrix) even if the generator matrix is a polynomial matrix. In this paper a constructive algorithm for computing the FIR pseudo inverse, based on the usage of Grobner basis is presented along with detailed examples. The result obtained can be parameterized to cover the class of all possible FIR inverses. In addition, by using the computation method of syzygy with the Grobner basis module, the syndrome matrix for a given m-D convolutional encoder is shown. Furthermore, the theory of Grobner basis is applied to solve the algebraic syndrome decoder problems using the maximum likelihood (nearest neighborhood) criteria and the procedure for 2-D convolutional code error correction is proposed. Despite the complication of the decoding process, the proposed method is the only error correcting decoder for multidimensional convolutional code available to date.

关键词： Algebraic phase unwrapping   Zero distribution   Directions-of-arrival distribution   Array signal processing  

摘要： We present nontrivial utilization methods of a pair of symbolic algebraic algorithms (Yamada et al. in IEEE Trans Signal Process 46: 1639-1664, 1998;Yamada and Bose in IEEE Trans Circuits Syst 1 Fundam Theory Appl 49: 298-304, 2002) which were developed originally for multidimensional phase unwrapping and zero-distribution problems. Given the minor subspace of the covariance matrix of the data measured at a uniform linear array of sensors, the proposed methods provide estimates of the Directions-of-Arrival (DOA) distribution of multiple narrowband signals, i.e., the number of DOA in an arbitrarily specified range, without using any numerical search for each direction of arrival. The proposed methods can serve as powerful mathematical tools to extract global information in the high-resolution DOA estimation problems.

关键词： MR damper   semi-active control   smart damping system   unified Lyapunov algorithm  

摘要： This paper presents a new algorithm which is applicable in designing a smart damping system for vibration mitigation. The algorithm, which is extended into a unified system from Lyapunov stability theory, enables us to decrease the errors by its increased stability. The validity of this design method was proved in the experiment on a control model of three-storied building structure. Smart damper was used for MR (Magneto-Rheological fluid) damper in the experiment, and its control effectiveness was evaluated. In order to make a more accurate control model mathematically, we updated the model on the basis of the analysis of dynamic characteristics of structure and of the mathematical analysis of a lumped mass model, and then employed a state space model redefined by structural property matrix. Using this improved control model, control effect on structures that were under the influence of each different earthquake magnitude was analyzed with various performance indexes, and thus the algorithm presented here is proved to be valid.

关键词： 复习课   研讨课   教学实录   普通高中课程   实验教科书   江苏教育出版社   几何意义   导学   堂课   课例  

摘要： 本文是一堂高三数学复习研讨课的教学实录,这堂课是一次对"导学式教学"模式的尝试和推广.课例所复习的内容是江苏教育出版社普通高中课程标准实验教科书《数学选修2-2》第三章数系的扩充与复数的引入,教学环境是多媒体教室,上课前,班上学生被分成若干小组.整个教学过程教师设计了以下几个环节:预习测评、导学互动。

关键词： 图像融合   数学形态学   形态梯度检测算子   小波变换   频率系数  

摘要： 在分析了图像经小波分解后边缘信息容易丢失等问题的基础上,给出了小波形态学图像融合改进方法。为了提高图像质量,提出改进主要在低频系数选择算法上,采用形态学灰度形态梯度边缘检测算子对低频子图像进行边缘检测,能够更好的保存原图边缘细节信息;对高频系数选择采用基于绝对值最大的原则。对三组图像进行实验,实验表明采用改进方法使得局部对比度信息得到更好的保留,提高了分辨率,具有一定的实用性。

关键词： 数学课堂   思维发展   普通高中   教育课程   学生   算法   华中师范大学   课程改革  

摘要： 由湖北省教学研究室和华中师范大学基础教育课程中心共同承担的湖北省普通高中课程。改革重大研究项目《新课程学科课堂有效教学研究》数学学科课题研究邑于2010年秋在全省30多所普通高中样本校全面展开．为进一步推进我省普通高中擞学课程改革，深入研究高中数学课堂有效教学的相关问题，本刊特邀新课程高中数学课堂有效教；学项目组组长、

关键词： RTK数据处理   极大验后滤波   矩阵求逆  

摘要： 对CORS的主要作业手段RTK系统与传统RTK的作业手段进行了比较,对两种RTK作业测量数据的处理方法进行了分析,认为顾及参数先验统计信息的极大验后滤波这一数学模型更适合对CORS-RTK测量数据处理。在此基础上了,分析了数学模型的计算机数值算法,并编程实现了这一算法。

关键词： 航空发动机   电子控制器   数学模型   系统辨识   克隆选择算法  

摘要： 由于某型发动机电子控制器在工作过程中,其控制结构会发生变化,因而它的主要控制通道的动态响应过程为分段线性数学模型。为了获得精确的数学模型,提出采用一种基于改进克隆选择算法的辨识算法。实验及仿真结果表明:该算法辨识的模型与实际系统接近,能准确辨识出系统的结构跳变时刻及其分段数学模型参数;与其他辨识算法相比,具有辨识精度高、计算稳定和适应性强等优点。