摘要
构造了一个新的变换,称之为Q变换,研究了自然数在此变换下的黑洞数问题.证明了当m≥4时,任何m位自然数经过若干次Q变换必可变为不超过3位的自然数,然后利用这个结论,找到了自然数在Q变换下的全部黑洞,即任意自然数在Q变换下有且只有2个黑洞,分别是M1={1},M2={3,6}.
Structured a kind of new transformation, called Q transformation, and researched black hole number question of the Q transformation. Showed that for any m ≥ 4, any m -digit number which uses Q transformation leads in several steps to at most 3-digit number. Based on this lemma, all black hole was given for Q transformation sequence. Any rn -digit number which uses Q transformation leads to only two black holes, they are M1 = {1} and M2 = {3, 6}.
出处
《高师理科学刊》
2015年第6期1-3,13,共4页
Journal of Science of Teachers＇College and University
基金
国家自然科学基金项目(11071169)
浙江省自然科学基金项目(Y6110287)
关键词
Q变换
变换数列
黑洞
黑洞数
Q transformation
transformation sequence
black hole
black hole number
