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焦点量与鞍点量的关系
引用本文:桑波,朱思铭.焦点量与鞍点量的关系[J].数学年刊A辑(中文版),2007(2).
作者姓名:桑波  朱思铭
作者单位:聊城大学数学科学学院,中山大学数学与计算科学学院 山东 聊城 252059,广州 510275
基金项目:国家自然科学基金(No.10371135)资助的项目.
摘    要:对于一般情形,给出焦点量和鞍点量计算与约化的Maple算法,从而统一了焦点量和鞍点量的计算,并给出细焦点与细鞍点的变换,利用变换推导了焦点量和鞍点量的关系.

关 键 词:焦点量  鞍点量

The Relationship Between Focal Quantities and Saddle Quantities
SANG Bo ZHU Siming.The Relationship Between Focal Quantities and Saddle Quantities[J].Chinese Annals of Mathematics,2007(2).
Authors:SANG Bo ZHU Siming
Institution:SANG Bo ZHU Siming Department of Mathematics,Liaocheng University,Liaocheng 252059,Shandong,China. Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,China.
Abstract:For general cases, this paper brings in algorithms for computing and simplifying focal quantities and saddle quantities, thus the computations for two quantities are unified. Also for general cases, this paper gives transformations between fine focus and fine saddle. By the transformations, the relationship between focal quantities and saddle quantities is established.
Keywords:Focal quantities  Saddle quantities
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