perplexus.info :: Numbers : Minimal cardinality

Minimal cardinality (Posted on 2016-03-16)

Let S be a set of n distinct real numbers.
Let A_S be the set of numbers that occur as averages
of two distinct elements of S.

For a given n >= 2, what is the smallest possible number
of distinct elements in A_s?

See The Solution Submitted by Ady TZIDON

No Rating

Comments: ( You must be logged in to post comments.)

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info