递增 increase progressively; increase by degrees 人口的递增 a progressive increase in population; 产量与年递增。 the output increases progressively with years. 这所大学的注册人数比去年递增了10%。 the registration of the university shows an increase of 10 percent over last year.; 递增费用 progressive charges; 递增付款 progressive payment; 递增函数 increasing function; 递增序列 [数学] increasing sequence; ascending series
严格 strict; rigorous; rigid; stringent 严格的规则 strict rules; 严格的质量管理 strict quality control; 严格规章制度 rigorously enforce rules and regulations; 严格说来 strictly speaking; in the strict sense; 严格要求自己 make strict demands on oneself; be strict with oneself; 严格训练, 严格要求 strict training and strict demands; 严格控制物价上涨 strictly control price rises; 严格法纪 strict enforcement of law and discipline; 严格法律 blue law; 严格控制 strict control; subjugate; 严格检查 close check; 严格检验 tightened inspection; acid test; 严格限制 close confinement; 严格遵守合同条款 strict performance of contract; 严格执行 execute to the letter; 严格制止 nip
The first part of the present paper is preliminaries . at the second part we show a lemma as follows : supposing s1 , s2 , . . . are strictly increasing sequences , then there exists a strictly increasing sequence t such that for any i , si and t contain a common subsequence having upper density 1 in t . using the lemma we give a chaotic form more rigorous than distribution chaos in a sequence 本文第一部分介绍有关的预备知识;第二部分首先证明了一个关键性引理:对于给定的可数(包括有限)个严格递增的正整数序列s _ 1 , s _ 2 , … ,可以找到某一个严格递增的正整数序列t ,使得对于每一个i = 1 , 2 , … ,序列s _ i与序列t有一个共同的子序列,它在序列t中的上密度为1 。