摘要
将现在通用的实数集称为标准实数集，定义新的单位无穷大数及其倒数单位无穷小数，与标准实数集结合在一起扩大成非标准实数集．此非标准实数集对四则运算仍然是封闭的，构成超实数城．此超实数域可简化许多数学分析中的定义．利用C＋＋语言的面向对象的特性及重载运算符的功能，实现了非标准实数集的一阶模型的存储和运算，并可准确计算非标准函数的导数．同样的方法可以扩展到多阶模型．
The general real number set is named as the standard real number set. The newly defined unit infinite large number and its reciprocal, unit infinite small number are combined with standard real num-ber set to expand the set to nonstandard real number set. The nonstandard real number is enclosed so that it becomes a super real number field. The super real number field will simplify a lot of definitions in mathemaics analysis. The store and operation in l ed model of nonstandard real number set is imple-mented by C ++ language with its OOP and overload operator feaure, and the derivative of a function can be calculated accuraely. The same method can be expanded to multi-rank model.
出处
《深圳大学学报（理工版）》
CAS
2000年第1期53-59,共7页
Journal of Shenzhen University(Science and Engineering)
关键词
非标准分析
数学分析
计算机语言
non-standard analysis
mathematics analysis
computer language
