Discuss About a Kind of Sieve Method
Qiao Xi-ming · Journal of Jincheng Institute of Technology · 2010
Enlightened from sieving in industry produce,suppose that set A={x|1≤x≤m},remove set B= k i = 1 a Pi={x| pi|x-a,i=1,2,…k}from set A,and remove set C= k i = 2 b Pi={x|pi|x-b,i=2,3,…k}from set A,then the result is difference set A\B\C. This is also a sieve method speaking from the essence meaning of sieve method. It differs from sieve method by usually meaning,and it can not to say when it is an empty set. There- fore,it brings difficulty for application. In this text,we probe into the sieve method deeply and conclude the condition that A\B\C is nonempty.