Rex
Posts:
23
Registered:
10/13/10


How to check whether an infinite set is closed under addition?
Posted:
Jan 15, 2012 12:11 AM


Given k positive numbers a_1<a_2<a_3<...<a_k, and all integers greater than a_k, we want to check whether this set {a_1, a_2, a_3,...a_k, a_k + 1, a_k+2, ......} is closed under addition.
Is there any easy way to do this? any functions that we could use in Mathematica or Matlab?
Your help will be greatly appreciated.

