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A new model of innovation diffusion process, in competing environment is developed based on aggregation of individual adoptation decision.

从消费者个体购买决策的分析，通过购买决策的集结，导出了竞争环境中新产品或新技术的总体市场扩散模型。

This paper derives the expression of the diffusivity of molybdenum from diffusion flow.

根据空位机制，从扩散流量导出钼的扩散系数的表达式。

In this paper, starting from Chandrasekhar's results, we find the solution of the Dirac equation with non-zero rest mass just out side the event horizon of a nearly extreme Kerr black hole and suce...

本文在此基础上，在近似极端Kerr 黑洞的事件视界附近找到了静止质量不为零的Dirac方程的解，并成功地导出了Hawking热谱公式，从而解决了Dirac粒子在Kerr 黑洞的Hawking蒸发问题。

The fine structure Hamiltonian for Hydrogen-like atoms is derived using the nonrelativistic approximation of the Dirac equation for one electron moving in the Coulomb field.

从Coulomb场中运动的电子的Dirac方程出发，取其非相对论极限导出了类氢离子的精细结构哈密顿的表达式。

At first, we introduce in detail relativistic mean-field theory, where a common Lagrangian density is presented. Starting with this Lagrangian density, we can obtain the Dirac equation and Klein-Gordon equations for nucleon and meson field by using Euler-Lagrangian equation.

本文首先详细介绍了相对论平均场理论的一些公式推导，给出了常用的一般的相对论平均场的拉格朗日量，从这个拉氏量出发，利用Euler-Lagrange方程就可导出核子与介子场的运动方程。

In this paper, the modeling theory of multi-rigid-body dynamics was thoroughly investigated in order to make up the shortcoming in the above modeling method. The major research achievements are as follows:①Based on the matrix of direction cosine between the body-fixed base and the reference base, and Poisson equation of a rigid body rotating, the coordinate transformation method for the modeling of treelike multi-rigid-body dynamics is derived. The method is very routinization and easy to use the computer to carry on the symbol derivation.

本文针对上述建模方法存在的不足，深入地研究了多刚体系统动力学的建模方法，并将所研究的新方法应用于惯性振动设备的建模，取得的主要研究成果如下：①基于刚体连体基关于参考基的方向余弦矩阵和刚体转动的Poisson方程，导出了建立树形多刚体系统动力学方程的坐标变换法，其过程极其程式化，便于利用计算机进行符号推导。

The forward kinematics is analyzed by choosing one of the mechanisms which have one, two,three or zero angle constraint.Wherein,3-CCC is a new parallel mechanism which has three angle constraints and three distance constraints, Calay\'s formular and direction cosine matrix are used to describe the rotation matrix respectively.By setting Dixon\'s and Sylvester\'s resultant with the three angle constraint equations respectively and using parameters replacement to deal with the distance constraint equations,the 64 order input-output equation of the forward kinematics is obtained under both of the methods.Numerical example confirms these theretical results and the motion simulation is shown in VC++ by integrating OpenGL.

3对高小山提出的广义并联机构进行了研究，以其中具有角度约束的并联机构进行了分析，选取具有一个、两个、三个和零个角度约束类型中各一个机构进行了运动学正解求解，其中3-CCC是一种全部由圆柱副构成的具有三个线线角度和三个距离约束的新型并联机构，文中分别用Calay公式和方向余弦两种旋转矩阵建模方法对其位置正解进行了分析，通过对三个角度约束方程分别构造Dixon结式和Sylvester结式，以及对三个距离约束方程进行变量代换分别导出了位置正解输入输(来源：4040ABC论文网www.abclunwen.com)出方程，得出64组位置正解，并使用数值算例验证了其全部根。

Earthworks zero line is determined by constructing the spatial gridding curved surface model of the original terrain and the field leveling design terrain by digital elevation mode. The DEM data of original terrain are obtained by actual measurement. The mathematical correlation is deducted to demonstrate the relationship between the coordinates of any point on spatial line and the direction cosine by the spatial linear equation. DEM data obtaining program is compiled by Fortran9.0 and it is applied automatically to obtain the DEM data of field leveling design terrain.

目的 利用数字高程模型(digital elevation model， DEM)构造原始地形和场平设计地形的空间网格曲面模型，确定土方工程中的零线方法通过实测提取原始地形DEM数据；依据空间直线方程，推导空间线段土任意点的坐标与方向余弦的数学关系式，采用Fortran90程序设计语言编写DEM数据提取程序，自动提取场平设计地形DEM数据；应用Surfers8.0和MapInfo软件构造规则的网格空间曲面模型并导出网格节，点数据；擦除场平设计范围外数据。

A algorithm of dim small targets detection in infrared image is proposed. Image is processed by using median filter and unsharp mask. The infrared image intensity surface is fitted by Haralickd discrete orthogonal polynomial basis function,and then the maximum points are detected on the fitted intensity surface by convolving the image with the second order directional derivative operators.

提出一种红外弱小多目标图像检测方法，图像先经过中值滤波、高提升滤波增强处理，再用基于Haralick离散正交多项式曲面拟合图像，拟合曲面的极大值点即目标点，可以利用导出的二阶方向导数算子与图像进行卷积得到。

The purpose of this paper is to introduce an effective couple-stress continuum model to describe the performance of grid material when L \approx l_{m} and to recommend a method to calculate the effective moduli of the model. The representative volume element method Dirichlet boundary conditions is proposed.

在此基础上导出了正交各向异性偶应力介质的特征长度表达式和偶应力介质梁的抗弯刚度表达式，定义了偶应力影响因子\delta 以表征梁的偶应力效应。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。