利用热弹体运动方程和热传导方程耦合问题的变换域解，求解其极点留数的解析表达式。
For the transformed solution of the thermoelastic and heat conduction equations coupled problem, the analytical representation of the pole residues is obtained.
运用保角变换法将复杂的几何区域变换为比较简单的区域，从而推导出供热管道周围的温度场分布解析函数式。
Based on the conformal conversion method to simplify the shape of the region, derives an analytic function formula of temperature distribution field around a cylindrical heating pipe.
利用测度变换和鞅方法，得到了其解析形式的定价公式。
Using the measure transformation and martingale method, the price of the analytic form is obtained.
本文采用玻尔兹曼-曼特诺变换方法，得到了一个新的描述硅快速热氧化生长动力学的解析模型。
A new analytical model for describing the growth kinetics of Rapid Thermal Oxidationof Si with the use of Boltzmann-Mamtano transformation is reported.
协同利用数学变换、高精度近似和二级逼近策略，提出了一种求解结构优化问题的准解析法。
A quasi analytic method for solving structural optimization problems is developed by coordinated use of mathematical transformations, high quality approximation and two level approximation strategy.
并利用拉普拉斯变换技术，得到了液饱和两相多孔介质一维问题的动力响应解析解。
By using the Laplace transform technique, the one-dimensional analytical solution of dynamic response for biphasic saturated porous media.
本文提出一种一般解析方法——空间变量变换法，用以求解任意边界条件下圆柱厚壳自由振动问题。
In this paper, a general analytical method — space variable transform method is presented for solving free vibration problems of thick cylindrical shell with arbitrary boundary conditions.
本文从画法与解析两个方面，探讨了同素变换中的二重元素，并给出了其结论。
This paper mainly discusses the dual element in the same element transformation from the description and analysis, and gives the conclusion.
研究表明，对于一些相对简单的边界条件，通过李群变换的方法可以得到非线性固结方程的完整解析解。
It is shown that for some relatively simple conditions, exact analytical solutions of the non linear consolidation equation can be obtained by using the approach of the transformation of Lie group.
提出了溶洞和井筒连接的试井偏微分方程数学模型，并采用正交变换法得到了其解析解。
In this paper, we found Large-scale cave and shaft connected Test partial differential equation model, and obtain its analytical solution by orthogonal transformation metho.
应用矢量坐标变换的方法理论推导了在大量程范围内测量位移与光程差的非线性关系，给出了解析解与数值解。
The nonlinear relation between light travel distance and measured displacement is (deduced) by vector coordinate transforms, and their analytic and numerical results are given.
本文按照解析几何学原理，将中线概括模型的基本参数变换为与里程相关的导出参数。
The paper transforms the basic parameter of Central Line summary model into the derived parameter in connection with mileage on the basis of analytical geometry.
以高斯光束的变换为例，推导出了一个表示为初等函数之和的近似解析传输公式。
The transformation of Gaussian beams is taken as an example, an approximate analytical propagation expression in terms of a sum of elementary functions is derived.
本文用欧几里得算法，给出求解基矢变换对应矩阵的解析表达式。
An analytical method to find correspondence matrix for basic vector transformation is given by using elementary theory of numbers.
本文对谐振子的因果律和解析性质进行了研究，并由此推导出谐振子的希尔伯特变换对。
This paper studies the causality and analyticity characteristics in harmonic oscillator, and from which drives Hilbert transform pair.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
通过变换矩阵递推求得层状地基中单桩的柔度系数和桩与桩相互作用的柔度系数解析公式。
The analytical formulas, for the flexibility factor of single pile and the piles interaction, are derived by the transfer matrix.
通过坐标系的变换和引入辅助向量获得了解析的捕获域和截获时间，并在三维空间内对这种追踪导引过程进行了仿真验算。
In this paper, however, the capture set and time of interception are obtained analytically by coordinating transformation and exploiting of accessorial vector.
一种是直接根据洛伦兹变换所得出的解析法；
One is analytic method based on the Lorentz's transformation.
利用解析方法详细分析了激光光束在带光阑光学系统中的传输和变换特性。
By using this analytical method, propagation and transformation characteristics of light beams through an apertured ABCD optical systems are analyzed analytically.
在二维情况下，忽略热扩散效应，利用汉克尔积分变换法和最陡下降法，求解热扩散方程和波动方程，得出了位移的解析表达式。
The thermal equation and wave equation are solved by the methods of Hankel transform and steepest descent, and the general expression of displacement is obtained.
从广义惠更斯-菲涅耳衍射积分出发，导出了洛伦兹光束通过一阶轴对称光学系统传输变换的解析公式。
Based on the generalized Huygens-Fresnel diffraction integral, the analytic propagation expressions for Lorentz beams passing through first-order axisymmetric optical system are derived.
讨论了解析函数子族的积分变换，相应地给出了一类近于凸积分算子的某些结果。
In this paper, integral transforms of functions belong tot he class are investigated, some results of a close to convex integral operator are given as well.
提出了坐标变换、三角变换等方法，巧妙求解出拟人机器人TH- 1手臂逆向运动学的解析表达式。
Coordination transform, triangle transform, etc are proposed to successfully derive the inverse kinematics analytic equations for the humanoid robot th 1 arms.
本文介绍网络的系统变换法及其在三相-两相变电所故障解析中的应用。
This paper presents a systematic transformation method and its application in the fault analysis of a 3-phase -2-phase transformer station.
分析了GIS中用解析几何法求解空间关系的特点和缺陷，并提出了采用图形的几何变换法克服它的缺点。
This paper analyses the method of analytic geometry for resolving spatial relationship in GIS and summarizes its limitation.
采用积分变换技巧，推导出了环状光束通过湍流大气传输二阶矩束宽的解析表达式，并研究了湍流对环状光束扩展的影响。
The closed-form expression for the mean squared beam width of annular beams propagating through atmospheric turbulence is derived by using the integral transform technique.
本文对中心平方交换中的点、直线的变换进行了较为深入的探讨，不但对其进行了几何分析，而且给出了数学解析式。
The transformations of the points and straight lines in central square transformations areinvestigated. Both the geometric analysis and mathematic expressions are given.
该动态迟滞模型结构方程易与现有的各种解析形式的迟滞模型相结合而变换出多种不同的形式。
Moreover, the dynamic hysteresis model structure equation can easily be combined with each kind of existing analysis hysteresis model to show many kinds of different forms.
该动态迟滞模型结构方程易与现有的各种解析形式的迟滞模型相结合而变换出多种不同的形式。
Moreover, the dynamic hysteresis model structure equation can easily be combined with each kind of existing analysis hysteresis model to show many kinds of different forms.
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