关键词： LLE data   Ternary mixture   Genetic algorithm   GMDH-type NN  

摘要： A GMDH type-neural network was used to predict liquid phase equilibrium data for the (water + ethanol + trans-decalin) ternary system in the temperature range of 300.2-315.2K. In order to accomplish modeling, the experimental data were divided into train and test sections. The data set was divided into two parts: 70% were used as data for "training" and 30% were used as a test set. The predicted values were compared with those of experimental values in order to evaluate the performance of the GMDH neural network method. The results obtained by using GMDH type neural network are in excellent agreement with the experimental results. (C) 2011 Elsevier Inc. All rights reserved.

关键词： fast algorithm   discrete cosine transform   Galois's theory  

摘要： An algebraic method for synthesizing fast algorithms of the discrete cosine transform (DCT) of arbitrary size is proposed. The method is based on the polynomial algebra F [x]/p(x) associated with the DCT. The fast DCT algorithm comes as a result of the step-by-step decomposition of this algebra. In turn, the decomposition requires step-by-step factorization of the polynomial p(x). This problem is solved using Galois's theory, which allows finding all the subfields of the splitting field of the polynomial p(x) where p(x) can be factorized.

关键词： 车牌定位   水平投影   形态学   边缘检测   迭代膨胀法  

摘要： 车牌定位是车牌识别系统中的关键技术之一,车牌定位的质量直接影响着后续字符识别的结果。本文提出了一种结合投影法和形态学的车牌定位算法,首先对图像进行预处理,接着利用水平投影算法确定车牌的上下边界,然后利用形态学方法迭代确定车牌的左右边界,最后进行精定位。实验表明,该方法具有较高的定位精度。

关键词： 复杂注水井   自动组配   数学算法   计算机算法  

摘要： 复杂注水井管柱通常由三个以上的封隔器和配水器组成,由于编写施工方案时无法预知现场油管实际情况。施工方案只能提出井下工具的最终深度,注水井管柱的组配工作由现场技术员完成。受油管长度、油层厚度、测量误差等因素影响,很容易因计算错误造成返工,给现场技术人员造成极大心理负担。本文主要介绍了复杂水井管柱组配数学实质、数学算法、计算机算法等三个方面。

关键词： 算法   学习算法的意义   构造性数学   算法的教学  

摘要： 随着现代信息技术的迅猛发展,算法已融入生活的众多方面,扮演着重要的角色。在高中数学教科书中也将算法作为一个独立的章节在学习,算法的思想和初步知识也正在成为普通公民的常识。主要论述了什么是算法以及学生学习算法的意义。

关键词： 科学技术   数学方法   国际数学家大会   算法   模型   论文集  

摘要： 本书是2010年国际数学家大会（印度）的一个卫星会议——“科学和技术中的数学”的会议论文集。

关键词： Algebraic structure   constructivizible (computable) structure   Turing degrees   e-degrees (enumeration degrees)   degree spectra of models  

摘要： We describe all possible relations between certain reducibities of algebraic structures which are based on the mass problems of structure presentability.

关键词： satellite signals   non-parametric approaches   solution of inverse problem  

摘要： Mathematical algorithms for processing and analysis of near-infrared data from a satellite-borne Fourier transform spectrometer have been designed. The algorithms involve non-parametric approaches based on neural networks, random forest, and empirical orthogonal functions. The results obtained from processing of model data and real measurements performed by means of the GOSAT-borne Fourier transform spectrometer are presented.

关键词： Riccati equation   Bernoulli equation   Lyapunov equation   feedback stabilization   Navier-Stokes equations  

摘要： In this paper, we consider the stabilization of the nonstationary incompressible NavierStokes equations around a stationary solution by a boundary linear feedback control. The feedback operator is obtained from the solution of the algebraic Bernoulli equation associated with the penalized linearized NavierStokes equations around an unstable stationary solution and is used to locally stabilize the original nonlinear equations. We give the explicit factorized form of the stabilizing solution of the algebraic Bernoulli equation. The numerical effectiveness of this approach is demonstrated by stabilizing the vortex shedding behind a circular obstacle. Copyright (c) 2011 John Wiley & Sons, Ltd.

关键词： 图像去噪   高斯噪声   数学形态学   小波域增强  

摘要： 为了有效滤除图像高斯噪声,将数学形态学与小波域增强相结合,提出了一种高斯噪声新型滤波算法.该算法首先将噪声图像进行二维小波分解,得到低频和高频子图像;然后保留低频子图像不变,对各高频子图像根据其噪声分布特点分别设计出多角度、多结构逐级形态学滤波器进行滤波处理,并进行小波分解系数重构;最后对经过形态学滤波后的图像进行2层小波分解,通过设计出一种新型小波增强函数对不同幅值的小波系数进行不同程度的收缩处理,在此基础上进行分解系数重构.将自适应中值滤波与数学形态学滤波与本文算法进行比较,实验证明本文滤波算法其去噪效果优于前两种算法.