关键词： ternary diagrams   grain-size distribution   GIS   map algebra  

摘要： The grain-size distribution of sediments is a fundamental characteristic in understanding the earth's surface environments and an essential tool in classifying sedimentary environments. Grain-size data provide important information on the energy and dynamics of depositional environments and aid our understanding of sediment transport. Ternary diagrams (TDs) are useful and conventional tools to classify sediments on the basis of relative grain size (i.e. gravel, sand, mud or sand, silt, clay). The development of spatial modelling in a geographical information system (GIS) can assist in treating, computing and displaying sedimentological data, such as grain-sizes. In this work, four map algebra (MA) algorithms are written in a GIS environment to automatically produce maps depicting the spatial distribution of sediment texture classes based on the most frequently used grain-size TDs: the Shepard classification and Flemming classification for sand-silt-clay components, and the Folk et al. classification and Blair and McPherson classification for sand-gravel-mud components. The proposed method allows rapid assessments by producing map distributions of the parameters most widely used in sedimentology. Copyright (c) 2007 John Wiley & Sons, Ltd.

关键词： Algebra over algorithms   Correct algorithm   Division of algorithms   Estimation algorithm   Matrices of estimates   Normalization   Pattern recognition  

摘要： An algebra over recognition algorithms supplemented with a normalization operation (under various definitions) and the division operation is investigated. Correctness criteria for various algebraic closures are obtained. © Nauka/Interperiodica 2007.

关键词： image restoration   nonlinear partial differential equations   algebraic multigrid methods   acceleration   nonlinear iterations  

摘要： The variational partial differential equation (PDE) approach for image denoising restoration leads to PDEs with nonlinear and highly non-smooth coefficients. Such PDEs present convergence difficulties for standard multigrid methods. Recent work on algebraic multigrid methods (AMGs) has shown that robustness can be achieved in general but AMGs are well known to be expensive to apply. This paper proposes an accelerated algebraic multigrid algorithm that offers fast speed as well as robustness for image PDEs. Experiments are shown to demonstrate the improvements obtained.

关键词： 02.60.Pn  

摘要： Some problems related to evolutionary and genetic algorithms, genetic programming, and neural-network computations on solving applied problems that are reduced to analysis of functions prescribed at permutations are roughly studied. Natural parallelism of these algorithms and possibility of their realization on modern computers are noted.

关键词： 细化   数学形态学   二值图像  

摘要： 对二值图像处理中细化的算法进行了研究,介绍了基于形态学的细化算法,同时,对数学形态学的相关理论做了介绍。并利用该算法对地图图像进行了细化处理,取得了良好的实验效果。通过实验研究可以看出,该算法设计灵活,便于实现,具有一定的实用性。

关键词： 数学模型   优化方法   调度方案  

摘要： 研究一类运输问题的优化方法，分别用Go矩阵和Return矩阵描述卡车的双向调度方案，建立了一个综合规划的数学模型，并以总运量和出动卡车的数量最小为目标，以品位限制、供需限制、车辆容量限制等为约束条件，以分步优化、逐层突破的方法给出了模型的优化解法．

关键词： 物流配送   VRP   算法   人工智能  

摘要： 系统地讨论了物流配送问题与VRP的有关知识,包括两者之间的关系、配送问题的VRP描述、数学模型的建立、求解方法及比较等,并指出了相关的研究方向。

关键词： RSA算法   攻防实验室   纯数学   数字签名   数据加密   Ron   发明者   Adi  

摘要： 本轮攻防实验室第2关是关于RSA算法的突破。RSA是第一个既能用于数据加密也能用于数字签名的算法。它易于理解和操作．也很流行。算法的名字以发明者的名字命名Ron Rivest、Adi Shamir和Leonard AdIeman。但RSA的安全性一直未能得到理论上的证明．它经历了各种攻击，至今未被完全攻破。

关键词： RBF   隶属度函数   仿真实验  

摘要： 模糊规则的提取和模糊隶属度函数的学习是模糊系统设计中重要而困难的问题.针对当前开发模糊控制系统的一个难点——发现最优的隶属函数和模糊规则,研究了利用RBF神经网络的学习能力,从历史数据中发现隶属度函数,在一定程度上减轻了系统开发工作量,克服了由于缺乏经验而可能造成的偏差.文中探讨了一种用于提取模糊规则的RBF神经网络结构,提出了基于此网路结构的模糊隶属度函数学习算法,最后给出了用于验证该算法有效性的仿真实例.

关键词： least squares   quaternion matrix   algorithm   quaternionic quantum theory  

摘要： Quaternionic least squares (QLS) problem is one method of solving overdetermined sets of quaternion linear equations AX approximate to B that is appropriate when there is error in the matrix B. In this paper, by means of complex representation of a quaternion matrix, we introduce a concept of norm of quaternion matrices, discuss singular values and generalized inverses of a quaternion matrix, study the QLS problem and derive two algebraic methods for finding solutions of the QLS problem in quaternionic quantum theory. (c) 2007 Elsevier B.V. All rights reserved.