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1)  infinite singular point
无限远奇点
2)  finite singular point
有限远奇点
1.
Suppose the system has are only one finite singular point(0,0),then we can assume b_(50)=0,which special directions are determined by equation G(θ)=0,introduce Poincare transformation to discuss infinite singular points,according to the.
研究了一类平面齐五次系统dxdxdt=a50x5+a41x4y+a32x3y2+a23x2y3+a14xy4+a05y5,dydt=b50x5+b41x4y+b32x3y2+b23x2y3+b14xy4+b05y5当其只有唯一的有限远奇点且具有三对特殊方向时的全局拓扑结构及系数条件。
2.
Global topological classification and its coefficient conditions of a kind of plane homogeneous fifth system with four special direction are obtained by researching the structure of infinite singular point and the type of rays of passing the only finite singular point O(0,0).
通过研究一类具有四对特殊方向的平面齐五次系统的无穷远奇点的结构和过唯一有限远奇点O(0,0)的射线的类型,得出其全局拓扑分类及相应的系数条件。
3.
The relationship among finite singular point, infinite singular point and linear solution in the complex plane is discussed.
本文研究平面N次系统x =x +Pn(x ,y) ,y =Qn(x ,y) ,这里Pn(x ,y) ,Qn(x ,y)为N次多项式齐式 ,讨论了有限远奇点、无限远奇点和直线解三者之间在复平面内的关系 。
3)  Infinity point
无限远点
4)  infinite singular point
无穷远奇点
1.
A condition for the common factor not influencing the infinite singular points;
公因子不影响无穷远奇点的条件
2.
Secondly, all the infinite singular points are located and their stabilities are analyzed respectively.
确定了该离散化系统的所有无穷远奇点及其稳定性,为进一步深入研究圆柱绕流动力学性态提供了基础。
3.
At the same time, the infinite singular points of the biochemical reaction is studied and the globe construction is obtained.
同时对该生化反应系统无穷远奇点的性态进行了分析,得到了全局结构的相图。
5)  critical point at infinity
无穷远奇点
1.
The conclusions for structure of critical point at infinity,global structure and more advanced ones,are obtained.
研究与二次系统相伴的、具有实和虚不变直线的一类四次系统,得到了系统的无穷远奇点结构,给出了系统在原点为中心或二阶细焦点时的全局结构,并对系统作了全局分析。
6)  infinite points
无究远奇点
补充资料:Hirzebruch奇点

hirzebruch奇点就是用方程z^d=x^a * y^b定义的曲面奇点。 大数学家hirzebruch第一个系统研究了这种奇点。

这类奇点和连分数有着密切联系。它是代数几何--特别是代数曲面中的一类重要研究对象。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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