| 高次奇点的指数计算 |
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| 引用本文： | 郑承民,徐惠中. 高次奇点的指数计算[J]. 新疆师范大学学报(自然科学版), 2004, 23(4): 18-23 |
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| 作者姓名： | 郑承民 徐惠中 |
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| 作者单位： | 新疆师范大学,数理信息学院,新疆,乌鲁木齐,830054 |
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| 摘 要： | 奇点指数是刻画奇点拓扑性质的一个量，它是一个整数，本利用Cauchy-指标的代数工具就孤立高次奇点，临界奇点分别给出了一组指数计算公式，这是对中计算公式的补充，尤其是对临界奇点指数计算起到了简化作用，也使平面解析向量场的奇点指数计算问题得到完美解决。
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| 关 键 词： | 高次奇点 指数 临界 向量场 拓扑性质 刻画 整数 计算问题 代数 平面 |
| 文章编号： | 1008-9659-(2004)-04-0018-06 |
| 修稿时间： | 2004-05-22 |
Calculated Index Number at Higher Order Singular Point |
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| ZHENG Chengmin,XU Huizhong. Calculated Index Number at Higher Order Singular Point[J]. Journal of Xinjiang Normal University(Natural Sciences Edition), 2004, 23(4): 18-23 |
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| Authors: | ZHENG Chengmin XU Huizhong |
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| Abstract: | The singularity index number is a quantity of topological characteristics.It is one of integer.Linear singular point index number calculation problem and higher order one inde number calculation problem where its main corresponding equations are linear have been solved successfully.In addition,using algebraic tool of Cauchy index,a set of formula is given respectively about index number calculation at critical singularity and higher order isolated singularity to the main equations.It is convenient for index number calculating,especially for the critical singularity.And index number calculation problem at singular point in analytic vector field is also solved perfectly. |
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| Keywords: | Singular point Critical singularity Index number Cauchy-index |
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