查询词典 fixed point method

higher order singular point ; finite singular point ; infinite singular point ; critical conditon

华东师范大学数学系；山东师范大学数学系上海 200062；山东济南 250014

The relation among inflexion point, extreme value point and undifferentiable point is investigated by contrasting their sufficient conditions.

给出了曲线拐点判定的几个充分条件，对比曲线的拐点和极值的判别方法，研究了曲线的拐点、极值点和不可导点之间的关系。

So we need consider the effects of the earth curvature. In global integration, the requirement of the data coverage and the computation are comparative high. In this thesis, a moving coordinate system is used to overcome the effects of the earth curvature. And a differential calculation concept is proposed that assumes the difference of geoid calculated between the central point and its marginal point is constant when the integration area is far away from the central point.

论文中提出了利用柱体积分时采用移动坐标系来顾及地球弯曲的影响，并利用差分的概念，设想离计算区域到一定距离后，流动点对计算区域内的中心点和边缘点的影响之差为一常数，并用试验的方法，统计分析了它们对大地水准面的有效积分拓展范围。

According to the division principle of flue gas sampling point in round stack,the paper gives a convenient and prac-tical formula of the dixtance from sampling point to inwall and corrects the errors in table of the distance value from sampling point to in wall in the published literatures.

本文根据圆形烟道采样点划分原则，给出了一种方便适用的采样点距烟道内壁的距离公式，并就现有文献中采样点距烟道内壁的距离值表格的误差进行了修正。

In the mean time we also give out a reduction way for nonlinear generalized system F =0 by use of the special projection mappings Q . Based on these we prove that the qualitative structure near the isolated equilibrium point of regular nonlinear generalized system is qualitatively equivalent with the structure near the equilibriun point of the linearization system of nonlinear generalized system, so we give out a way for qualitative analysis near equilibrium point of nonlinear generalized system.

其次，对一般形式的非线性广义系统F=0，利用特殊选择的投影函数Q，给出了一种归约方法，在此基础上，并证明了正则非线性广义系统问题的孤立平衡点的小邻域的定性结构等价于其线性化后的线性广义系统平衡点的定性结构，从而为非线性广义系统的平衡点的定性分析提供了一条途径。

After the game start, Kobe is keeping a hot hand, scored 20 point in the first quarter, though Lakers just lead the Nuggets one point after first quarter, Kobe's play made everyone jump out from their seat and screaming out. The second and third quarter Kobe didn't do well, but the last quarter he made it as his own show, 19 point in the fourth quarter, and at the last 2 minutes, the Nuggets surrendered, the game had no suspense.

在比赛哨声响起，老大的手就开始发烫，首节砍下20分，虽然第一节只领先金块1分，但是老大表现实在令人瞠目结舌，虽然第二、第三节表现一般，但是最后一节单节独得19分，老大把比赛变成了自己的表演时刻，在最后两分钟，丹佛终於缴械投降，比赛也变得毫无悬念。

The first rank derivative is a reflection of curve change and its rate, at certain range, if the sign of the first rank derivative has changed, the logging value of the correspondence depth point means maximum in this range; the second rank derivative is the knaggy property reflection of curve, at certain range, if the sign of the second rank derivative has changed, the correspondence depth point represent the inflexion of geophysical logging curve, it＇s also a turning point of the reflection of knaggy change property of the curve, it is the interface of stratum.

测井曲线的值是深度的函数，测井曲线的一阶导数表示了曲线变化的趋势和变化的快慢，在某一范围内，当一阶导数呈现符号转换时，相对应的深度点的测井值即为该范围内极大值；测井曲线的二阶导数则表示曲线的凹凸性，在某一范围内，当二阶导数呈现符号转换时，相对应的深度点代表了测井曲线的拐点，即反映曲线凹凸性变化的转折点，亦即地层的分界面。

To realize the real-time tracking of the shoot point from light pen,the Camshift tracking algorithm is chosen,but it is difficult to track the point with dynamic and complicated background and in case that there is similar color with the shoot point.

为实现对光笔投射点的实时跟踪，采用了Camshift跟踪算法，但是该算法在动态复杂背景及在颜色相似的背景区域中不能很好地进行跟踪。

By the analysis of dive and horizontal plane nonlinear model, the catastrophe model on de dive plane is deduced, and catastrophe stability is analysized. In the horizontal plane, simplified equation is gained by center manifold theory, then draws the conclusion that the stability of limit circle arises from critical point is relate to small difference of move point and critical point.

通过对潜艇垂直面和水平面非线性运动模型进行分析，导出垂直面运动的突变控制模型，并进行了突变稳定性分析；在水平面运动的非线性分析中，通过中心流形定理简化方程，得出临界点处极限环的稳定性与微差占的符号有关的结论，这样在无法或很难得到李亚普诺夫函数的情况下，可以通过这种方法判别临界点的稳定性。

A stationary point which is neither a local maximum nor a local minimum point is called a saddle point.

一个既不是局部极大点又不是局部极小点的平稳点称为一个鞍点。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。