关键词： 确定法   宋代建筑   举析   《营造法式》   数学计算   撩檐枋   作图法   举高   水平距离   举折  

摘要： 宋代建筑屋面举析的简便确定法──数学计算法与传统作图法的比较东南大学建筑研究所孙祥斌宋式建筑的重要特征之一是屋面举析严格遵循《营造法式》中有关规定，如何迅速准确地确定屋面举析，则是我们需要解决的问题之《营造法式》规定：举高为前后撩檐枋水平距离的１／３...

摘要： The H-principle, or the Heisenberg principle of mathematical modelling, is a new principle of carrying out mathematical analysis of data. It has its conceptual basis in the philosophical discussions of the 1920s concerning description of physical systems. It is a mathematical formulation of concepts given in the Heisenberg uncertainty relation. The main idea is to include the model uncertainties in the modelling procedure. The principle suggests that the modelling is carried out in steps, such that at each step we determine the improvement and the associated precison. The improvement and the associated precision are then balanced in a way prescribed by the Heisenberg uncertainty principle. This principle thus prescribes how the modelling procedure should be carried out. We have applied this to different fields of science. It has then generated new ideas, algorithms and methods. Here we shall present some results arrived at, when this principle was applied to some important areas of science. The algorithms are illustrated by chemometric examples.

关键词： 语音压缩   压缩标准   数据压缩技术   副总裁   音频数据   数学算法   Motorola   半导体厂商   工程师们   呼出气  

摘要： MPEG作为全运动视频影像压缩标准渐成定局;与此同时,DSP Group的TrueSpeech压缩技术正主导语音压缩领域。 有数种方法可扩展带宽,以承载视频、声音和图像等日渐复杂的数据。但TrueSpeech另僻蹊径,采用数据压缩技术高效利用了现有带宽。DSP Group是一家致力于发展语音压缩技术的公司,其副总裁Asaf Mohr说:

摘要： We should stress the major role that the most abstract branches of mathematics, such as mathematical logics, metamathematics, theory of recursive functions, algebra of relations, etc., play in computer mathematics.

关键词： 地面水   非离子氨   浓度   数学模型  

摘要： 本文应用热力学基本原理和质子传递平衡原理，从理论上建立了ＮＨ─ＮＨ３共轭酸碱对之共轭酸离解常数Ｋａ随温度Ｔ（ｋ）变化的数学模型，用Ｋｗ、Ｋｂ的文献值计算出Ｋｇ值，按其模型对温度Ｔ（ｋ）进行回归分析，其相关系数为０．９９９９９７，Ｋａ的估算值与计算值的相对误差小于０．４４％。文中还用导出的δＮＨ３（％）计算公式进行了水体中非离子氨占总氨百分比的估算，并与美国表值作了比较，结果令人满意。导出的ＣＮＨ３计算公式亦可在任意地面水体的实测水温和ｐＨ下，由测得的总氨量计算非离子氨浓度，具有很强的实用价值。

摘要： In this work, we establish a complete mathematical framework for algorithm-based fault-tolerant computing for data vectors defined over a ring of integers. The ring of integers consists of integers {0, 1, ..., M-1} and all the arithmetic operations are performed modulo the integer M, which is assumed to be composite. The importance of the work lies in the suitability of modulo arithmetic in certain computational environments. Lack of an underlying Galois field, GF(q), presents a unique challenge to this framework. We develop the theory and algorithms for single as well as multiple fault correction and detection. We also analyze the parallel and serial nature of the encoder and decoder configurations. Certain known but rather old results in the theory of numbers dealing with linear congruences and matrix algebra are also described and extended further using mathematical terminology that modern-day researchers are expected to be familiar with.

关键词： SYSTEMS OF NONLINEAR EQUATIONS   CONTINUATION METHODS  

摘要： We present a hybrid algorithm that combines a Newton iteration process with the continuation code PITCON ([RB83]). The proposed algorithm is tested by using standard sets of examples ([Bus80], [Hie82], [Sha85] and others), 36 different problems that combined with different scaling conditions and initial points give 327 problems. The algorithm solves more than 98% of the problems as opposed to 61% solved by the code HYBRD from MINPACK [MGH80].

关键词： DYNAMICAL SYSTEMS   INTEGRABLE SYSTEMS   LIE GROUPS   ALGEBRAS   HAMILTONIAN FUNCTION   FUNCTIONAL ANALYSIS   MATHEMATICAL OPERATORS   MATHEMATICAL MANIFOLDS   ALGORITHMS  

摘要： The algebraic structure of the gradient-holonomic algorithm for Lax integrable dynamical systems is discussed. A generalization of the R-structure approach for the case of operator-valued affine Lie algebras is used to prove the bi-Hamiltonian formulation of nonlinear integrable dynamical systems in multidimensions. The monodromy transfer matrix is constructed to describe the operator manifold in relation to canonical Lie–Poisson bracket on initial affine Lie algebra with gauge central extension. As an illustration, the two-dimensional operator Benney–Kaup integrable hierarchy is considered and their bi-Hamiltonicity is proved. [ABSTRACT FROM AUTHOR]

关键词： 注释   成都科技大学   注解   《河防通议》   土方计算   数学   变断面   水利科学技术   河防通议   算法   水利工程   水利水电工程  

摘要： 数学在古代水利工程中的应用──《河防通议·算法》的注释与分析成都科技大学管理系郭涛《河防通议》是我国十至十四世纪（宋、金、元三代）治理黄河的重要文献，是古代水利科学技术和管理经验的重要总结。其中“算法”一章，则全面总结了古代土方工程中的各种体积算法，...