数字1金字塔的研究  

The Study of the Number 1 Pyramid

作　　者：周小辉[1] 王刚[2] 

机构地区：[1]浙江财经大学东方学院,浙江嘉兴314408 [2]新疆师范大学数学科学学院,新疆乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2015年第2期53-57,共5页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：新疆维吾尔自治区高校科研计划青年教师培育基金(XJEDU2009S67)

摘　　要：根据对一个赛尔金(F.B.selkin)数字金字塔的研究与符号[b]k的引入,首先解决对于任意整数k,[1]k×[1]k=?的问题,在定理1中给出了解的结构。其结论在定理2与定理3中做了更进一步的推广。最后,考虑在任意整数n,m且m≠n的情形下[1]n×[1]m=?的问题,并在定理4中讨论了解的结构。According to the study of the F.B.selkin number pyramid, the question, that is [1]k×[1]k=？, will besolved by the introduction of the symbol [b]kfor an arbitrary positive integerk. And the structure of the solutionwill be given in the theorem 1. the conclusion will be generalized in the theorem 2 and theorem 3. Finally the ques-tion, that is [1]n×[1]m=？, will be also considered in the case ofm≠n, for all positive integern,m, and thestructure of the solution will be discussed in the theorem 4.

关 键 词：赛尔金金字塔 符号[b]k 任意整数 

分 类 号：O13[理学—数学]