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basic mathematical
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  数学基础
     The basic mathematical concepts: differential manifolds, vector fields, Lie derivatives and distributions are explained successively, which are the foundation for developing the differential geometric control theory of nonlinear control systems.
     按照微分流形、向量场、李导数、分布这一顺序,由浅入深地简述了非线性系统微分几何控制理论赖以发展的最基本的数学基础
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     The function of contact point position of finger, and the retlated function among four fingers position are established. It is basic mathematical equations to evaluate the grap plan for four fingers dexterous hands.
     建立了表示形封闭抓取方案中手指接触点位置的基本函数和四个手指接触点之间的位置函数关系,也为各种抓取方案的优化方法提供数学基础和数学工具。
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     The basic mathematical theory and the detailed method to solve the free surface hydrodynamic problem had been investigated. Then, by using the Level Set method, the transformation of a solitary wave over a front step was simulated. The results are in good agreement with laboratory experiments.
     进一步研究了Level Set方法的数学基础 ,研究了求解有自由水面水动力学问题的具体方法· 并在此基础上 ,对孤立波与前台阶相互作用这一问题进行了计算及研究 ,取得了与实验结果相符合的计算结果·
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     Combining with the practical experience of basic mathematical courses,we firstly discusses the thinking and methods of mathematical modeling,then we apply them to the input-output model of economic problems. Furthermore,some properties is proved by using the corresponding matrix theory.
     结合数学基础课程的教学实践经验,对数学建模和数学实验的思想方法作了整体探讨,并将其应用到经济问题的投入产出模型中,而且利用矩阵理论对一些性质给出了证明.
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  基础数学
     This paper presents one's train of thought of modeling and solving of nine steps for general mathematical programming problem, and gives a general form and two kinds of transform for the basic mathematical programming model. In the light of the totality plan of Qichun County, Hubei, this paper cites a practical example.
     本文提出了一般数学规划问题的九步建模和求解思路,给出了基础数学规划模型的一般形式及其两种转换方式,并结合湖北蕲春县总体规划的工作,举出了一个应用实例。
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     Based on the achievement in the improvement of basic mathematical teaching,the necessity of which the mathematical tool software is used in survey adjustment teaching is expounded. The application prospect of the mathematical tool software in survey adjustment is showed by introducing some examples of survey adjustment solved using Mathematica software.
     在总结了基础数学教学改革成果的基础上,阐述了将数学工具软件引入测量平差教学的必要性和紧迫性,通过简要介绍Mathematica软件解算测量平差问题的几个实例,展示了数学工具软件在测量平差教学中的应用前景。
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     The authors review some geomathematical methods (such as basic mathematical methods, multivariate statistics, geostatistics, artificial neural network, and fractal theory) and their application to the research of the oceanic polymetallic nodule resources, and also discuss the main directions in the future application.
     回顾了一些数学地质的基本理论方法 (即基础数学方法、多元统计、地质统计学、人工神经网络、分形理论 )以及它们在大洋多金属结核研究中的应用状况 ,并探讨了其今后的主要应用方向
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     All of those advances have important implications for basic mathematical education.
     上述研究成果对于科学地认识学生的数学学习、基础数学教育的方式方法、数学教育评价等问题均有重要启示。
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  “basic mathematical”译为未确定词的双语例句
     Introduces The basic mathematical models, such as matrix, permutation, and combination, in the design of fabrics.
     本文介绍织物组织设计基本数学模式,用矩阵、排列和排列组合等数学方法设计织物组织。
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     Then basic mathematical models of unrepairable systems with fuzzy random lifetimes are established.
     此外,我们建立了模糊随机不可修系统的基本模型,包括模糊随机串联系统、模糊随机并联系统、模糊随机串—并联系统、模糊随机并—串联系统以及模糊随机冷贮备系统。
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     Study of Basic Mathematical Model and Algorithm for Designing Large Scale Supply Chain
     大型供应链设计的基本数学模型与算法研究
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     Qualitative Mapping (QM) is a basic mathematical model of the attribute method, which represents the relationship between the quantity and quality based on philosophy rule of inter-change between quantity and quality.
     定性映射(Qualitative Mapping,QM)模型是思维建构和智能模拟的属性论方法中的的基本数学模型,它表达的是事物属性量—质特征转化关系,其哲学基础是事物质量互变规律,其基本内涵是依据特定的属性基准,从事物的一个或多个量特征中抽取出质特征。
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     Based on fundamental principles of X-ray motion tomography, this article tried to establish a basic mathematical model for the imitative system by using MATLAB software.
     本文基于X线断层的基本原理, 应用MATLAB软件, 为X 线断层的仿真系统建立基本的数学模型。
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  basic mathematical
In the proof course, some basic mathematical methods are used only, so the proof is more convenient for being understood.
      
The second integral law has the same basic mathematical form but the physical interpretation of the mechanical response functional is different.
      
In LSA, the singular value decomposition (SVD) is usually the basic mathematical tool.
      
The basic mathematical principles in the application of variational methods in the theory of parabolic equations are set forth.
      
Basic mathematical and physical concepts in loop- and path-dependent formulations of Yang-Mills theory are reviewed and set into correspondence.
      
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This paper propses a method analyzing the empirical informations or the experimental data of the ship model testing and ship trials by the theory of the numerical analysis, It recommends that in the basic mathematical model the power fuction is applied, the selection of the indepen- dent variables in the equation is based upon the significance testing and the confidence of the regression computing results is determined by using statistical theory. As a result accurate, neat and reliable regression epuations...

This paper propses a method analyzing the empirical informations or the experimental data of the ship model testing and ship trials by the theory of the numerical analysis, It recommends that in the basic mathematical model the power fuction is applied, the selection of the indepen- dent variables in the equation is based upon the significance testing and the confidence of the regression computing results is determined by using statistical theory. As a result accurate, neat and reliable regression epuations are derived.

本文根据数值分析的基本理论.提供了有关船舶经验资料和实验数据的分析方法.推荐采用幂函数的基本模式,以显著性检验控制5!人方程的变置.以统计分析论证其结果和预报的可靠程度.从而获得精确、简明、可靠的回归表达式.

This paper summarized the basic mathematical method used in the Aeronautical Structural Analysis System HAJIF--I-the supermatrix method and itsapplication in analysis of multi-substructures.Supermatrix method is powerful for the processing of large sparse matrix. This method is adaptable and versatile to the third and fourth generations of computers. The multi-substructure static analysis system established in the HAJIF-I by supermatrix method is applicable not only to the analysis of simple structures,...

This paper summarized the basic mathematical method used in the Aeronautical Structural Analysis System HAJIF--I-the supermatrix method and itsapplication in analysis of multi-substructures.Supermatrix method is powerful for the processing of large sparse matrix. This method is adaptable and versatile to the third and fourth generations of computers. The multi-substructure static analysis system established in the HAJIF-I by supermatrix method is applicable not only to the analysis of simple structures, but also to the analysis of complicated structure, and especially with superiority to large complicated problems.Emphasis of this paper placed on the multi-level supermatrix and theiralgorithms, and complicated aircraft structure analysis-application of theHAJIF-I. Finally large complicated numerical example has shown good adaptability and efficiency of this method. ,

本文总结了航空结构分析系统HAJIF-Ⅰ型的数学方法——超元矩阵方法及其在多重子结构分析中的应用。内容包括多级超元短阵及其算法,复杂飞机结构分析——HAJIF-Ⅰ的应用,文中阐述了通用与专用相结合的处理方法,得到了好的结果。

Rock mass, as a rule, is a geological mass cut by the geological structural weak planes. It's characteristic featuers are discontinuity, inhomogenity and anisotropy.The results obtained from the compression tests in a conventional loading machine oa intact rock specimen appear to be inadequate to represent the engineering properties of rock mass,but in utilizing of stiffness testing machine the negative slope part of the stress-strain curves and the fatigue testing curves for the intact rock specimen are more...

Rock mass, as a rule, is a geological mass cut by the geological structural weak planes. It's characteristic featuers are discontinuity, inhomogenity and anisotropy.The results obtained from the compression tests in a conventional loading machine oa intact rock specimen appear to be inadequate to represent the engineering properties of rock mass,but in utilizing of stiffness testing machine the negative slope part of the stress-strain curves and the fatigue testing curves for the intact rock specimen are more fully representive of the intrinsic rock properties in the mechanical behavior and failure processes.Based on the results of various rock we present two basic mathematical models with variable mechanical parameters,i, e. Hookean body with variable elastic modulus and Saitit-Venant's body with variable yield-limit. From these simple models four mechanical models modelling the properties of the fractured rock have been developed and the corespondending constitutive equations have been developed. From the results of tests for determining the complete stress-strain curve, the parameters in the constitutive equations of fractured rock can de obtained, thus the constitutive equations are given. Based on the comparision between model analysis and testing results it is shown that these models are practicable and applicable,and they provide reference models for the further discussion of the stability of the fractured rock mass and the mechanism of its support.

岩体是被地质构造弱面切割的地质体,它的特征是不连续、不均质和各向异性。用完整岩石试件在常规压力机上所获得的试验结果,不能很好地代表岩体的工程性质。但是,利用刚性很大的压力机对完整及破裂岩石作试验所获得的应力-应变全过程的后部份,以及循环加载-卸载曲线,在力学性质及破裂发展过程等方面,都与工程岩体十分相似。本文根据作者对多种岩石获得的应力-应变全图及循环加载-卸载试验结果,提出两种变参数单元模型,即变弹性模量的虎克体和变屈服极限的圣维南体,并由此而组成四种模拟破裂岩石的力学模型,导出相应的本构方程。根据岩石应力-应变全过程的试验结果,可以求出本构方程中的有关参数。通过模型与试验结果的对比,证明了模型的可用性,为今后讨论破裂岩体的稳定性及其支护分析提供了参考模型。

 
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