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总览 评价 曹俊云 * ( 河南理工大学数信学院; ) 摘要: 无穷是无有穷
曹俊云*
(
河南理工大学数信学院; )
摘要:
无穷是无有穷尽、无有终了的意思;它不是完成了的实无穷。无尽小数是写不到底的事物;无尽小数不是实数。实数是现实数量大小的简写。无尽小数是实数的一种全能近似值数列的简写。等式1/3=0.333……是虚假的、无用的、无法证明的等式。实数的四则运算是其全能近似值数列四则运算的极限。每一个康托儿基本数列都有一个理想实数为其极限,反过来每一个理想实数都有以它为极限的康托儿基本数列。无穷级数的使用意义是其部分和序列的简写。
关键词:
无穷;无尽小数;数列的极限;全能近似相等;实数;康托儿基本数列;全能近似数值数列
caojunyun*
(
School of Mathematics and Information engineering, Henan Polytechnic University, Jiaozuo, China.; )
Abstract:
The meaning of infinity is without end; It is not a thing of finished actual infinity. Infinite decimal is a thing of could not be end to write; It is not real number. Real number is abbreviation of size of actual quantity. Infinite decimal is of a sort of omnipotent approximation value series of real number. Equality 1/3=0.333…… is one false, useless and undemonstrable equality. The four arithmetic operations of real number is limit of four arithmetic operations of its series of number of omnipotent approximately number value. Every Cantor's fundamental sequence possess all a ideal real number which is it limit; on the contrary, every ideal real number possess all Cantor's fundamental sequence which limit is it. The meaning of employment of infinite series in practice is abbreviation of sequence of its partial sum.
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