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何少仪
Posts:
6
Registered:
7/21/13


Pigeonhole Principle ?
Posted:
Oct 6, 2013 10:55 PM


in discrete mathematics and its applications 6th ,in Pigeonhole Principle, the author give a THEOREM(page 351): Every sequence of n^2 + 1 distinct real numbers contains a subsequence of length n + 1 that is either strictly increasing or strictly decreasing.
i donnot know what's the theorem for? because when we sort the n^2 + 1 distinct real numbers, we can get n^2+1 that is either strictly increasing or strictly decreasing. so how to understand this?



