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Combine with the characteristic of saddle point in matrix, the paper propose two algorithms to solve the saddle point , such as the method of search in turnand the equal of multi saddle point. And describe the thinking and corresponding code of the algorithm in detail, especially, the method of equal of multi saddle point is proved.

结合矩阵中马鞍点的特点，给出了求解矩阵中的马鞍点的依次搜索法和多马鞍点相等法，详细叙述了它们的算法思想，特别对多马鞍点相等法的理论基础做了证明，分别给出了对应的算法。

Angular spectral is spectral value map formed by estimating semblable coefficients of fast and slow shear wave or the variation of amplitude ratio of fast and slow shear wave with times and angles at a specified space point based on semblable theory of fast and slow shear wave, the angle value of this space point at a given time can be got by picking the maximum of angular spectral; the study reveals that fast and slow shear wave with different polarization direction should be separated using different rotation formula, eight formulas of separating fast and slow shear wave using clockwise rotation and counterclockwise rotation have been derived, and gained energy assignment rule and phase coincidence rule, in real data estimation, the rotation formula used for separating fast and slow shear wave can be uniquely determined on the two discriminating rules. On the basis of semblable theory of fast and slow shear wave, the delay time corresponding to the maximum of semblable coefficients at a specified point in a given time window is the delay time of fast and slow shear wave, delay time section of fast and slow shear wave can be got by moving space point and smoothing time window. The vertical variation values of delay time of fast and slow shear wave reflect the effect degree of vertical fractured reservoir on fast and slow shear wave which is defined as anisotropic coefficient, and section map of anisotropic coefficient can be obtained.

角度谱就是利用快慢横波的相似性原理，在某一空间点求出快慢横波的相似系数或快慢横波的振幅比值随着时间和角度的变化而形成的谱值图，拾取其极大值就得到该空间点某一时间的角度值；在研究中发现分离不同偏振方向的快慢横波应该采用不同的旋转公式，推导出了利用顺时针旋转和逆时针旋转分离快慢横波的八个公式，并给出了能量分配准则和相位一致性准则两个判别准则，在实际计算中利用这两个判别准则能唯一地确定分离快慢横波的旋转公式；根据快慢横波的相似性原理，在某一给定点和给定时窗内最大相似系数对应的延迟时间就是快慢横波的延迟时间，随着空间点的移动和时窗的滑动就可以得到快慢横波延迟时间的剖面图；快慢横波延迟时间与慢横波传播时间的比值定义为裂缝密度，并求出了裂缝密度剖面图；快慢横波延迟时间纵向上的变化值的大小反映了纵向上裂隙层对快慢横波影响的大小，定义为各向异性系数，并求出了各向异性系数的剖面图。

In this process, the discharge process of single point to point contact is transformed to the process of both point to point contact and the overall surrounding contact of sphere Ni through the self redox reaction, thus making a highly efficient electron transfer process. In this dissertation, the catalytic electrolysis mechanism is discussed. The influence of various parameters (e.g. kind and concentration of catalyst, reaction temperature and electrolysis duration) on electrolysis were investigated.

本文首次提出了以KMnO_4为代表的高锰酸盐作为电解过程电子传递的媒介，通过锰盐自身氧化还原反应的参与，在阳极和溶液中的球形Ni_2之间建立起高效的电子转移过程，使球形Ni_2和阳极之间单一的固体之间的点点接触放电，转变为点点接触放电和球镍与溶液全方位包围接触放电过程，大大提高了电解过程的效率。

It is shown from this thesis that flow fields on synoptic maps can be decomposed into rotation and deformation fields. Geostrophic non-frictional cyclone and anticyclone vortex patterns are closed circulations around the center point, streamlines of frictional cyclone and anticyclone patterns have spiral forms around the focus point. Saddle fields have four vortex centers (two cyclones and two anticyclones) and a saddle point. Blocking high pressure and cut-off low pressure patterns consist of a vortex center and a saddle point.

本文说明了天气图上的流场可以分解为旋转场和变形场：地转无摩擦的气旋、反气旋的涡旋型式是围绕中心点的闭合环流；考虑摩擦的气旋、反气旋的流型是围绕焦点的螺旋型式；鞍型场有4个涡旋中心点（2个气旋和2个反气旋）与1个鞍点；阻塞高压和切断低压由1个涡旋中心点与1个鞍点组成。

Aimed at the problem of choosing the initial value when the Newton method is used to compute the controlling unstable equilibrium point, a practical and rigorous solving scheme was presented: by identifying the controlling load bus of the given fault, and using the Thevenin equivalent circuit to represent the rest of the system at the state of the post disturbance stable equilibrium point, using the steady equivalent circuit to represent the induction motor in composite load, and then using the torque characteristics of induction motor, a point near the CUEP is gained to be the initial value. The second order normal forms was used to approximate the stable manifold of CUEP, and the local approximating boundary of the region of attraction of the post disturbance stable equilibrium point was gained. Then just by simulating the state of the system at the fault clearing time, the transient voltage stability of the system could be determined.

针对采用牛顿法求取故障后系统主导不稳定平衡点(controlling unstable equilibrium point，CUEP)存在的初值选取难题，提出一种实用但不失严谨的解决方案：通过识别给定故障的主导负荷母线，对主导负荷母线以外系统由故障后稳定平衡点处的状态进行戴维南等值，对负荷中感应电动机部分采用其稳态等值电路，再由感应电动机的转矩特性求得CUEP附近的一个点作为近似的CUEP，以此为迭代初值可靠求得CUEP；采用二阶正规型来近似CUEP的稳定流形的方法求得近似的局部吸引域边界；由仿真得到故障清除时刻系统的状态并根据该状态是否位于吸引域内判断系统的暂态电压稳定性。

Then we can establish global convergence to a stationary point, that is, if {xk} is the sequence generated by the affine-scaling interior-point trust-region method, then every limit point of the sequence is a stationary point for the problem.

其次我们建立了收敛到一个稳定点的全局收敛结果，即若{x_k}是由仿射尺度内点信赖域法产生的序列，则序列的每个极限点都是问题的一个稳定点。

In addition, total wheel/rail contact calculation with divided rail outline method are raised. Under the condition of considering the displacement, bouncing, yaw, roll of wheelsets and displacement, bouncing, roll of rails, minimum gap between rail and wheel were calculated by the trochoid method and divided rail outline method, we can easily judge totally real contact states of the wheel/rail such as normal one-point contact, nonnormal one-point contact, two-point contact and wheel complete lift. Wheel/rail normal forces in the two contact point are respectively calculated by nonlinear Hertz contact theory, and then, result of simulation more close to reality on actual track.

另外，提出了轨廓分区法全面计算轮轨接触状态法，在考虑轮对的横移、浮沉、摇头、侧滚和左右钢轨的横移、浮沉、侧滚的条件下，可全面地分别计算左右侧轨顶和轨侧区域与车轮的最小轮轨间隙量，以此来判断轮轨的真实接触状态：正常的一点接触、非正常的一点接触、两点接触和车轮完全悬浮，并根据非线性赫兹接触理论分别求得两接触点处的轮轨法向力，从而使仿真结果更接近于车辆在实际线路上的运行状态。

The results of the rule of law with ordinary methylation by formaldehyde Veratryl three groups the average weight of 2.5609g, the average yield was 91.31%, the melting point of the three groups were 42.4 ~ 44.8 ℃, 41.5 ~ 45.2 ℃, 41.7 ~ 44.3 ℃, from the results of we can see that the three groups of the melt from the melting point greater than that which the product of the by-product of the detection of the melting point have a certain impact; and the legal system with microwave radiation by an average of Veratrum aldehyde quality 1.4016g, the average yield was 93.23 %, melting point of the three groups were 41.8 ~ 43.2 ℃, 41.3 ~ 42.6 ℃, 41.6 ~ 43.5 ℃, melting away from the three groups as compared with ordinary methods of measuring the melt-out from the small.

结果 用普通甲基化法制出来的三组藜芦醛平均质量为2.5609g，平均产率为91.31％，三组的熔点分别为42.4～44.8℃，41.5～45.2℃，41.7～44.3℃，从结果可以看出，三组熔点的熔距都比较大，证明产物当中的副产物对熔点的检测有一定的影响；而用微波辐射法制出来的藜芦醛平均质量为1.4016g，平均产率为93.23％，三组熔点分别为41.8～43.2℃，41.3～42.6℃，41.6～43.5℃，三组熔距较普通方法测出来的熔距小。

Methods A retrospective analysis of paranasal coronal computedtomography scans of 200 sides from 100 patients were performed. The junction point between vertical line of orbital plate and anterior cranial fossa, the angle from the line between the above point and attachment point of cribriform plate to horizontal line, the distance from vertical line of orbital plate to attachment point of cribriform plate, were measure respectively.

回顾性分析100例患者200侧的鼻窦CT，在冠状位上测量眶板垂直切线与前颅底交点，此点与中鼻甲骨质筛板附着点的连线与水平线的夹角、眶板垂直切线与中鼻甲骨质筛板附着点之间的水平距离。

There are six forming methods throughcombining three different types of elements, among them, thereare four forming methods which have emblematize andpracticability: multi-point die forming、half multi-point die forming、multi-point alternating forming、half multi-point alternating forming.

对有限元模型建立及数值模拟关键算法和参数的研究在进行薄板类件多点成形的有限元分析中，涉及两类边界条件，一类是载荷，另一类是运动约束。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"