孤立奇点

文章研究在诱导度量的超曲面的孤立奇点（x，o）的局部度量性质。

This article investigates the local metric properties of an isolated hypersurface singularity ( X , o ) with the induced metric .

本文结果给出了孤立奇点位于积分曲面之内的曲面积分的计算方法，是对Gauss公式的补充完善。

This thesis explains the calculation method of surface integral when isolated singularity is inside of integral surface . It is a supplement and improvement of Gauss formula .

本文包括了复数的运算，关于方程求复根，泰勒展开式，函数在孤立奇点处的残数等等用MATLAB如何实现，以及MATLAB的强大的数据可视化能力在复变函数论中的应用。

It includes the operation of complex numbers , to get the root of complex equation and Taylor 's series , to get the residue of function at isolated singularity with MATLAB , and the application of MATLAB in linear transformation .

平面向量场X在奇点等价于它的首次非零喷射X＿k当且仅当这奇点是X＿k的非中心孤立奇点，此外还给出了X＿k的一切拓扑结构。

A vector field X on R ￣ 2 is equivalent at a singularity to the first non-vanishing iet X_k of Xif and only if the singularity is non-central and isolated for X_k , Besides , all topological types of X_kare given .

证明了齐三次项互素时有界的三次Kolmogorov型系统在赤道上孤立奇点附近轨线的分布情况有且仅有4种。

We obtain there are only four behaviors of the trajectories near isolated critical points at the equator of the bounded cubic Kolmogorov type system , if the homogeneous polynomials of degree 3 are relatively prime .

K-解析函数的双边幂级数与孤立奇点

Two Sided Power Series and Singular Point of the K-analytic Function

线性系统孤立奇点分类的一个注记

A Remark on the Classification of Isolated Singular Points for Linear Systems

解析函数在非孤立奇点邻域内的特性

The Properties of Analytic Function within the Neighborhood of a Non-isolated singularity

关于平面系统孤立奇点特殊方向的一个判别准则

A Criterion on Special Direction for Isolated Singular Point of Planar System

一类四维动力系统孤立奇点稳定性分析

Stability Analysis of Isolated Equilibrium for a Class of 4-D Dynamic Systems

积分路径上含有孤立奇点的第二类曲线积分

The Second Sort of Curve Integral of Isolated Odd Point in Integral Path

格林公式在有有限多个孤立奇点区域上的运用

The Application of Green Formula in a Region with Finite Isolated Singula Points

三次齐次孤立奇点平面指数的判定

Judgment of plane index for homogeneous cubic system

若平面微分系统的孤立奇点的某邻域被周期轨充满，则称此奇点为中心。

A singular point of planar differential systems is called a center if it has a neighbourhood which is covered with periodic orbits .

本文着重研究在具有有限多个孤立奇点的区域D上，如何运用格林公式，简化较为复杂的第二类曲线积分的计算问题。

This paper emphatically discusses how to apply the Green 's Formula on a connected domain D of finite isolated singular points and simplifies the complicated problem of the second kind of curvilinear integral calculation .

本文利用辗转相除法研究了二次齐次方程孤立奇点的指数，得到了由系数判断指数的一种便于应用的方法。

This paper discusses the index of isolated singular points for quadratic homogeneous equation by means of euclidean method , a method of judging index based on coefficient is given , which is convenient to be used .

给出了平面二次系统孤立奇点指数的计算公式，特别是采用对求根公式中的判别式的讨论，使推导过程简捷、明了。

This paper proves the calculation formulas of isolated singular point in - dex of plane second singular order system . Especially , because of the discussion on discriminant of root formulas , it makes the process easy to understand .

孤立高次奇点与无穷远点的定性分析

A Qualitative Analysis of Higher Order Isolated Singular Point and Infinite Point

文章通过变换，得出关于孤立高次奇点及无穷远点指数分解结论。

Through transforming , some conclusions are given about decomposing index number at higher order isolated singular point and infinite point in this paper .

研究了N正则函数的零点和奇点的孤立性，并对它的孤立奇点进行了分类。

The isolated properties of the zero and singular points for N-regular functions are investigated .