非公式的

Based on the second-order moment of the power density, the far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian beams is derived and expressed in a sum of the series of the Gamma function.

基于功率密度的二阶矩方法，推导出了非傍轴旋转对称拉盖尔－高斯光束远场发散角的解析公式，并表示为伽玛函数的幂级数求和形式。

A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

摘 要 基于双曲型守恒律方程，对非结构三角形网格给出了一种ENO(Essentially Nonoscillatory Scheme)型有限体积格式，方法的主要思想是先对每一个三角形单元构造一个加权的二次插值多项式，而在计算交界面的流通量时采用了两点高斯积分公式以保证格式的整体精度，时间离散采用三阶TVD Runge-Kutta方法。

By adding the nonmembership degree parameter to the partition matrix 〖WTHX〗U〖WTBZ〗 and objective function, the fuzzy cmeans clustering algorithm is improved. Furthermore, the iterative reasoning formula and the algorithm description are presented. Thus the technique ascribes the clustering to a linear restricted programming issue, which is applied to the status of vast samples.

通过增加非隶属度参数对模糊c〖CD*2〗均值(fuzzy cmeans， FCM)聚类算法中的模糊划分矩阵〖WTHX〗U〖WTBZ〗和目标函数进行改造，进而给出迭代推导公式和算法描述，把聚类归结为一个带约束的线性规划问题，适用于大数据量的情况。

Gas Production Engineering Research Institute,Southwest China Oil Gas field Company,Guanghan 618300,China）Abstract: Basic principle of time of flight diffraction method was described. Two scan modes D scan and B scan were discussed and the phase characteristic of oscillogram and grey-scale map was also studied. Formula to calculate the location and size of defects was given. The image analysis was carried on three typical defects on standard blocks.

摘 要：描述了超声波衍射时差法的基本原理，讨论了平行扫查和非平行扫查两种扫查方式，研究了波形图和灰度图两种缺陷图谱的相位特征，推导了缺陷精确定位定量的计算公式，并通过标准试块试验对三种典型缺陷进行了图谱分析。

Especially, as an important consequence, the light intensity on the transverse plane perpendicular to the propagation axis is given.

作为一个重要的特例情况，文中还给出了横截面上的光强公式，这个结果可用来对非傍轴光束的强度二阶矩及M2因子等物理量进行研究。

Further more, the shearing test parameters for non standard sample were determined, the shearing stress coefficient and height calibration coefficient were also obtained.

另外，确定了非标准试件的抗剪试验参数，并得到了相应的剪应力系数和抗剪强度的高度校正系数公式。

Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory, the force and moment equilibrium equations are established by the technique of apparent components system.

以在空间曲线理论中起重要作用的富列耐—塞勒(Frenet—Serret)公式为基础，把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式，建立了力和力矩平衡方程。

The changing rule of the deformed zone and non-deformed zone in the process of bending the vee parts is analyzed.

分析了V形件弯曲过程中变形区与非变形区的变化规律，建立了计算凹模最小深度的公式，并通过数值实例，讨论了工件尺寸与凹模圆角半径对弯曲凹模最小深度的影响。

Based on the experimental results and analysis, new contributions given in this paper is as follows:(1) the new approximate formula developed in ref [7] for △ε of continuous and noncontinuous strain hardening materials from tensile properties under various R.

实验与计算结果及分析讨论表明：用新提出的Δε模型和近似公式，可以估算不同应力比条件下连续应变硬化和非连续应变硬化材料切口根部的Δε，但是，超载作用后，Δε应近似按弹性应力循环计算；首次给出了铝合金板材和低合金高强度钢FCI超载效应的定量表达式。

By applying the cubic law and to a nonparallel smooth wedge-shape walled fracture, the distribution of pore pressure along the walls is derived and compared with the result of numerical calculation.

模型的径向应变结果分布与径向应力结果分布类似；(7)基于数值分析，探讨了裂隙水压力的分布形式，并以立方定律为基础，假设裂隙面为光滑表面，理论推导了光滑非平行裂隙中的水头分布公式，结果发现二者均为弧线分布形式。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。