极限点

This paper applied an algebraic criterion to identify Hopf bifurcation for the six-dimensional red blood cell survival model, and analyzed stability of the generated limit circle by using projection method.

本文应用任意阶Hopf分岔代数判据对六阶红细胞存活模型的Hopf分岔点进行判定，同时利用投影法判断是否存在稳定极限环。

If they grow too short, they reach the Hay flick limit, the point at which they can no longer protect the chromosomes from damage.

如果他们增长太短，他们到达干草轻打极限的点，他们可能不再保护染色体免受损伤了。

In the last chapter, it focuses on studying a limit theorem about the first passagepercolation on the square lattice.

第四章研究了平面格点图上首达渗流的一个极限定理。

On the basis of introducing the fixed point of Banach theorem, this paper firstly elaborates the important application of the existence of the solution of the linear algebraic equation and the ordinary differential equation, then it narrates the important application of obtaining the leading Newton repetitive process and the natural number the inferior square root and the equation root in the approximate calculation.

本文在介绍Banach不动点定理的基础上，首先阐述了其在线形代数方程、常微分方程解的存在性中的重要应用；然后讲述了其在求导Newton迭代法、求自然数的次平方根、求方程根的近似计算中的重要应用；最后，介绍了其在求一类递推数列极限中的应用。

Reissner topic,which thinks fracture plane behind retaining wall is made up of a logarithmic spiral and a straight line,and by using limit equilibrium and constrained optimization,the formulas of active earth pressure,the resultant force of earth pressure and its application point are obtained.

基于普朗德尔-瑞斯纳课题认为，挡土墙土体破裂面是由对数螺线与直线组成的复合滑动面的结论，采用极限平衡法和约束优化相结合的方法，重新推导了主动土压力及其合力和作用点高度的计算公式。

Firstly, for the network with arbitrary weight matrix, the conditions for the existence of cycle of length 1 and 2 are presented.

首先，对于具有任意连接权阵的网络，给出了不动点和2周期极限环存在的条件。

The fixed point theory of increasing operator and the method of upper and lower solutions based on it are one of the basic methods in the study of various nonlinear problems.

特别的，我们还考虑了一类m-点边值问题正解的全局结构。本文的最后给出了极限增算子方程解的一些存在性结果。

This thesis is devoted to the problems of integral conditions, center -focus determination and bifurcation of limit cycles at degeneratesingular point and the infinity of planar polynomial differential system.

本文主要研究平面多项式微分系统退化奇点与无穷远点的可积条件以及中心焦点判定与极限环分支，全文由七章组成。

In Chapter 4, we study the center conditions and the bifurcation of limit cycles at a degenerate singular point as well as that at infinity for a quintic polynomial system and prove that the system has 5 limit cycles around the origin and 2 limit cycles around infinity.

在第三章中，我们分别研究了一类三次多项式系统、一类五次多项式系统、一类七次多项式无穷远点的中心条件与极限环分支问题。

In the thermodynamic limit, the zeros accumulate nearly the transition point z_0 in the real axis and the density of zeros near z_0 determines the order of the phase transition.

在热力学极限下，配分函数零点在正实轴上集聚的那些点z_0给出了相变的位置，同时在z_0附近的配分函数零点密度决定了相变的类型。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。