半径

We can regard the narrow gauge mine car and the level man car as a evolution of the inclined-shaft man car ,the computing methods of the radius of curvature between them are same,so the study of the passing radius of curvature for the inclined-shaft man car is of great significance,which will produce far-reaching effect for design,test,research and development of the man car and the gauge car.

矿用窄轨矿车和平巷人车可以看成是斜井人车的一种演变，其曲率半径的取值方法同斜井人车的曲率半径取值方法基本上是一致的，所以斜井人车所能通过的曲率半径的取值方法的研究有着重要的意义，对人车和窄轨矿车的设计、检测检验、研发也有着深远的影响。

In this paper an analysis has been made to some regions of magnetosphere, including the Nightside, Cusp and Duskside. By applying the Curvature Radius Method to the magnetic field data measured by four satellites of Cluster, the geometrical structure of Magnetic Field Lines, including the curvature radius, directions of curvature and normal of the osculating planes of the Magnetic Field Lines have been investigated.

本文采用曲率半径分析方法，结合Cluster立体探测的相关知识和背景，利用Cluster立体探测的优势，通过对Cluster 2001年的立体探测数据的研究，分析了磁层各区域的磁力线结构，包括背阳面、Cusp区以及昏侧，得出各区域中磁力线的曲率半径大小，曲率矢量以及磁力线密切面的法线矢量的方向。

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

After solving the bubble radius change rule, the velocity of the bubble growth and the collapse process is gained using numerical differential coefficient method.

求解出空化泡半径变化规律之后，本文应用数值微分的方法，求出不同初始半径空化泡壁的膨胀和崩溃速度。

The first and second derivatives of the coordinates of a cam profile are calculated using numerical differentiation method,and substituted with curvature radius formulas in calculus,thus obtaining its curvature radius.

应用数值微分法计算凸轮廓线坐标的一、二阶导数，代入微积分学中曲率半径公式，即得凸轮廓线的曲率半径。

Bending radius of cable shall be no less than 10 times that of cable outer diameter.

弯曲半径：电缆弯曲半径不低于电缆外径的10倍。

Bending radium of cable shall be no less than 15 times that of cable outer diameter .

弯曲半径：电缆弯曲半径不低于电缆外径的15倍。

Through the study of the theories about the C tool radius compensation, the dissertation put forward a new algorithm of C tool radius compensation for the effective reduction of overcut while NC-machining. C++ programming language is adopted to realize the algorithm, and examples of simulation are given to demonstrate the achievements of the algorithm.

根据刀具半径补偿原理，实现了一种新型的刀具半径补偿算法，该算法能有效剔除冗余刀位点，并且用C++实现了该算法，给出了相应的仿真实例。

If the pattern has a low rate of convergence, the time of the human and machines will be wasted and the answer are not surely attainable.So,we must look for the patterns with the high rate of convergence or try to settle some parameters of the iteration patterns (for instance the overrelaxation parameter of SOR iterative method).

本文第二章针对AOR迭代法考察了当线性方程组的系数矩阵A为(1，1)相容次序矩阵且其Jacobi特征值为纯虚数或零时的迭代收敛范围，最优参数(即最优松弛因子和最优加速因子)及与之相应的谱半径，并将此最优谱半径与相应的SOR的进行比较，定量的给出在不同条件下，AOR和SOR迭代法各有其优越性，从而圆满的解决了在这两种迭代法之间如何适当的选择最佳迭代法的问题。

Freeride – wider over the entire length, higher shovel , the wider the ski and the larger the radius ,the more suitable it is for off – piste skiing : narrower ski width and smaller radius make it suitable for groomed slopes .

整个雪板的宽度基本相同，雪板的前铲很高，转弯半径也很大，这样的雪板在野雪中非常的出色。宽度窄小的雪板和小些的转弯半径适合在压过的雪道中滑行。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷