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According to the theory of flow diffusion and convection, three-dimensional state equation of radon field is established for constant and variable diffusion coefficient and convection rate. The numerical solutions for different coefficient and different boundary conditions are obtained for two models of radon field which have respectively source in the side and inside of collapse column.

根据流体场的扩散理论和对流理论，建立了扩散系数与对流速度为常量或变量情况下的氡气场三维状态方程；对於陷落柱柱体侧面有源氡气场和柱体体内有源氡气场两种理论模型，给出了不同系数和边界条件下的数值解的形式。

The features of this dissertation are lie in: a The concept of"Influence Distance"was presented to quantitatively express"corner effect", systematicly studied on the influence of all factors on"influence distance". It could provide reference to angle designing from the view of heat treatment; b Deeply studied on the influence of shape factor to carbon concentration field. It could provide reference to gear designing from the view of heat treatment; c New model was set up to describe the two-dimensional concentration field of carbide dispersion carburizing. The shortcomings of"effective diffusion constant method"and"equilibrium constant method"were overcome in this model.

本文的特色在于：①提出了用"尖角影响距离"定量描述"尖角效应"的方法，并系统研究了各种因素对"尖角影响距离"的影响规律，从热处理角度为工件尖角部位的设计提供依据；②首次深入研究了齿轮的各种形状因素对浓度场的影响，从热处理角度为齿轮设计提供依据；③建立了能够更有效地模拟过饱和渗碳浓度场的数学模型，该模型克服了"有效扩散系数法"及"平衡常数法"的不足，与"最小自由能法"可互为补充。

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。

The "value" field for such a custom field as "image" is simply the direct link of the image hosted online.

价值"这样的自定义字段字段为"形象是简单的图像直接联系在线托管。

The direct numerical simulation method was applied to an industrial scale entrained flow coal gasification radiant syngas cooler to simulate three-dimensional multiphase flow field and temperature field.

通过直接数值模拟的方法对实际气流床煤气化辐射废锅内三维多相流流场和温度场进行了模拟。

By analysis of a mathematic model of aircraft magnetic field, the airplane magnetic field model was expressed by the direction cosine and its product terms.

通过分析飞机磁场数学模型，将飞机磁场表示成方向余弦与其乘积项的函数。

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。

This present algorithm further distinguishes itself through sufficiently utilizes the advantage that the vector sensors provide from other beam space DOA algorithms in several regards: 1 beams are formed in the vector-field domain; 2 produce at moderate signal-to-noise ratio estimation performance comparable to the traditional scale array methods;3 these vector-field beams are formed blindly using no apriori source information and coarse estimates of the direction cosine are derived to start off MUSICs iterative search so it demand less computation; 4 deploy agilely , since the fact that the output channel is various .

本文提出了矢量传感器阵列的自适应综合校准补偿方法，还提出利用单矢量传感器速度协方差矩阵分解来求解目标源方位，使得我们不要求校准源是合作性的，也无需知道校准源的先验知识，这比起常规辅助源校准方法具备较大宽容性。随着高性能阵列处理技术及数字信号处理硬件的快速发展和矢量传感器制造工艺的不断成熟，矢量传感器将在新型水雷、低频远程智能鱼雷、声纳浮标、低频拖曳线列阵和新型舰壳声纳，灵巧传感终端，战场监视系统，反隐形雷达，通讯等军民用领域取得良好的发展应用前景。

Through synthetical analysis of solutions of focal mechanism and the study of crustal deformation observation data, the recent stress field of hypocenters in Fujian and its coastal area has been obtained, which is considered to links up the stress field in Taiwan and Taiwan Strait, and the dominant direction of axis of principal compressive stress is NW-SE.

综合地震震源机制解和地壳形变观测资料的研究，求得福建及其沿海地区现代震源应力场，认为这与台湾地区、台湾海峡应力场相互衔接，主压应力轴优势方位为NW-SE向，力轴仰角较小，应力场近于水平挤压，形变场反映近期福建沿海亦受北两方向，接近与海岸垂直的挤压力。

Using the directional field information,Poincare index can detect the discontinuous point in the directional field——singularities.According to the number of singularities,their position and structural character of fingerprint's ridge lines,the basic category of fingerprint is classified.

利用指纹图像的方向场信息，用Poincare索引值检测出方向场中不连续的点——奇异点，根据奇异点的数目和相互位置关系以及指纹脊线的结构特征确定指纹的基本类型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新