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It introduces mathematic demonstration about the reason of heterogenic image motion vector,analyzes the necessity of drift mechanism and puts forward a compensation method by using scan mirror,drift mechanism and exposure slit.

对产生异速像移实质给出了数学推导，对偏流机构存在的必要性进行了分析，提出了一种利用两轴旋转扫描镜，同时结合旋转偏流机构和曝光帘缝的像移补偿方案。

In this paper,we use direct linear transformation algorithm to compute the homographic matrix between the known ground control points with equal elevation and the corresponding points on the image plane, then establish the relationships between the homographic matrix and the collinearity equations, and finally give the mathematic models for computing the intrinsic and extrinsic parameters of the aerial camera.

该方法根据单张航空像片估计伞载空中摄像机焦距及摄像机在世界坐标系中的位置和姿态角等外参数，利用直接线性变换算法求取已知等高地面控制点与对应像点之间的单应矩阵，建立了单应矩阵与共线条件方程之间的关联关系，最后根据关联关系推导出计算航空摄像机焦距、纵横比、位置和姿态角等内外参数的数学模型。

Testing for"K"、diffusivity"D"of wetland soil transmissivity and simulation of hydrologic processes of typical wetlands are made based on the indoor dynamic modeling experiment and the mathematic model simulations. The hydrologic response of river distinguish form that of the wetlands. And this is because that wetland has special hydrologic functions. The hydroperiod of wetlands is coincident with the precipitation period of watershed.

通过室内动态模拟实验测定了不同断面沼泽土壤的导水率K和扩散率D，水文数学模型RMA2模型和GIS相结合模拟了典型沼泽湿地的水文过程，河流和沼泽湿地的水文响向应具有明显的差异性，这是沼泽湿地水系统具有特殊水文功能的基础，沼泽的水文周期与流域降水周期是一致的。

By using ideologies of logistic planning and methods of linear programming, the mathematic model of logistics distribution is established to study rock dumping scheme optimization for hypaethral mines with three-dimensional block structure.

以矿山的三维块状模型为基础，将物流规划思想和线性规划方法相结合，建立物流运输线性规划数学模型，研究露天矿山的排岩优化问题，得出在最小运输功下开采境界内所有岩块去往各排岩场的流向和流量。

Incurrent research, aiming at the rupture problem engendered in the shooting process of acertain 5.56mm automatic rifle, the strain and stress distributions on the cartridge caseunder the action of axial pull have been analyzed. Based on the theories of elastic-plasticmechanics and contact mechanics, a mathematic and physical model of the cartridge-caseand chamber system has been set up; and based on the platform of the general softwarepackage APDL of ANSYS for finite element analysis, a parameterized model of thecartridge-case and chamber system has also been established. The method for nonlinearFEA has been adopted to analyze the stress distribution on the entire cartridge-case andchamber system, and the method of contact element has been employed to investigate thecontact stress between the cartridge case and chamber, and then the influences of frictioncoefficient and locking space on the static and dynamic stress and strain response of thecartridge case and chamber to the action of power gas have also been discussed. On thebasis of a lot of numerical tests, a kind of element Plane13, which is concentrated incoupled computation of heat and construction, has been used finally to simulate thetransient response of the cartridge-case and chamber system to the power gas. Throughloading the temporary thermal characteristics of explosive gas in the procedure of emulate, the corresponding transient thermal stress distributed on the entire system under thecombined load of transient thermal stress and transient pressure has been obtained. Owingto these comprehensive considerations, the numerical results obtained in this paperrepresent the actual situations comparatively exactly.

本文针对某5.56mm自动步枪在工作中出现断壳的问题，分析了弹壳在轴向拉力作用下的应力应变；基于弹塑性力学及接触理论，建立了弹壳弹膛系统的数学、物理学模型，在通用有限元ANSYS软件的参数化建模工具APDL平台上，建立了弹壳弹膛系统的参数化模型；采用非线性有限元法计算了弹壳弹膛系统的整体应力，引入接触单元法分析弹壳和弹膛的接触压力，探讨了在不同的摩擦系数和不同的闭锁间隙对弹壳弹膛静、动态响应的影响；本文进行了大量的尝试，最后确定采用热、结构耦合单元Plane13，在计算中加载了火药气体的温度历程，成功的获得了弹壳弹膛系统在瞬态的热载荷和瞬态的压力载荷同时作用下弹壳弹膛系统的热应力数值解，考虑因素全面，比较真实的反映了弹壳弹膛系统在火药气体压力和热载荷下作用的情况。

Establish its mathematic model, and carry on correlative calculation, to confirm that the accuracy of firing data by mortar-howitzer cannon can work effectively under indemnificatory conditions of fire control system.

建立迫榴炮火控系统决定诸元精度的数学模型，并进行相应计算，由此确定在火控系统保障条件下，某型迫榴炮精密法决定诸元精度可以进行效力射。

At the early 1980s, is an effective mathematic tool to deal with the uncertain or fuzzy knowledge. Rough rule theory has been widely used in information retrieval, digital library, software engineering and knowledge discovery. Its main idea includes acquisition of rough decision rules by reduction of data under the condition of keeping an invariability of classification capacity. And it basically represents a concept by a pair of approximation sets according to the partition on the given data based on the indiscernibility relation. Rough sets theory is well suited to deal with inconsistency of the rough approximations. So it is a new mathematical tool dealing with vagueness and uncertainty, and has found its applications in many areas such as AI, KDD, pattern recognition and classification and fault diagnosis.

主要完成了以下几个方面的工作：(1)对于高速移动机器人车道线跟踪问题中的规则知识获取，首先阐述了模糊逻辑系统的基本特点、工作原理和基本作法，分析了模糊规则知识获取过于依赖专家经验知识、对于每一个细节几乎都需要人工主观经验的参与、难以处理大数据集样本等方面的不足，进而阐述了粗糙集合理论的基本特点、基于粗糙集合理论的规则获取的关键技术和工作原理，为后续章节中经典粗糙集合模型的扩展及粗糙决策规则集的性能分析做好基础；(2)在经典粗糙集理论及其一般扩展的可变精度粗糙集VPRS的基础上，提出了非均匀可变精度粗糙集模型k-VPRS。

First, the mathematic models of equidistant and inequidistant difference schemes are founded. Then, the range of influence, criteria and process of damage location detection are obtained. The index is also used to detect concrete damage with microcrack, namely without macrocrack.

建立了基于等间距、不等间距差分格式的损伤应变模态差分数学模型及其损伤位置直接指标法，提出了损伤位置判定准则、判定步骤及损伤影响区确定方法。

Operations are given and testified in this paper. The research methods of intrinsical linear nonholonomic dynamics are similar to those of holonomic dynamics.The rationality and equivalence of Chetaev model and Vacco model in the intrinsical linear nonholonomic system are testified from the mathematic and mechanical aspects. The essential reason is the nonlinear property of intrinsical nonlinear nonholonomic constrain that bring on Chetaev model and Vacco model inequivalent. Chetaev model is a linear approximate method in intrinsical nonlinear nonholonomic system. Vacco dynamical equations are not satisfied to the ideal constraint force conditions, but it gives a significative ponderation on the realizations of intrinsical nonlinear nonholonomic constrain.

本文比较研究了一般非完整系统的Chetaev模型和Vacco模型，首次从力学和数学的角度论证了这两种模型在完整系统和本质线性非完整系统中的合理性和等价性；同时给出了在本质非线性非完整系统中，Chetaev模型和Vacco模型不等价的根本原因，是由本质非线性非完整约束的不确定性非线性本质所导致的；指出在本质非线性非完整系统中，Chetaev模型是一种线性近似的结果，Vacco动力学方程虽然不满足约束力的理想性质，但是为我们研究本质非线性非完整约束的物理实现提供了有益的思考。

Some interferent effects of calcium determination by atomic absorption spectrometry has been eliminated by a computational method and described in terms of a general mathematic model.

本文研究了火焰原子吸收法测定钙时某些化学干扰的计算消除方法，提出了一个普遍性的数学模型。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。