摘要
文章对Erd■猜想中正整数n的值进行分类,除了n为4m-3(m=6R+1)形的奇数外,逐类直接给出了具体表示。对于n为4m-3形的奇数,文章采用命题转化法及反证法,并用自变量与函数值的一一对应关系证明了Erd■猜想成立。
In this paper, the values of a positive integer n in Erdoes conjecture are classified. The paper directly illustrates them one by one in detail except that the value of n is 4m-3(m=6R+l). For the value of n given 4m-3, the author uses the propositional transformation, the counterevidence and one-to-one correspondence between variables and the value of the functionso to prove the validity of Erdoes conjecture.
出处
《新疆师范大学学报(自然科学版)》
2006年第4期1-5,共5页
Journal of Xinjiang Normal University(Natural Sciences Edition)
关键词
ERDOES猜想
值分类
一一对应关系
映射理论
Erdoes conjecture
the classification of values
one-to-one correspondence
the theory of mapping