摘要
讨论了复函数f(z)沿有向曲线C可积的矛盾概念———不可积概念,给出了不可积的分析定义.并利用它证明了复函数f(z)沿曲线C不可积的必要条件为f(z)沿曲线C有界这一性质.以此来说明,对矛盾概念的研究,有时可以得到解决问题的新思路和捷径.
This paper discuss the conception of nonintegrablethe contraditory concept that complex function f(z) is integrable along oriented curve C,and prove the property that necessary condition of complex function f(z) along curve C is bounded along curve c.Then it show that somtimes we can recive new thought about solving problems when discussing the contradictory conception.
出处
《沈阳师范大学学报(自然科学版)》
CAS
2003年第4期249-251,共3页
Journal of Shenyang Normal University:Natural Science Edition
关键词
复函数
否定判断
不可积
矛盾概念
complex function
negative judgement
non-integrable
contradictory concept