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An average table (Posted on 2005-06-03) Difficulty: 4 of 5
Given an infinite grid of real numbers between 0 and 100, such that every number in the grid is the average of its four direct neighbours (the numbers to the left, right, above, and below it) prove that all the numbers are necessarily equal, or give a counter-example.

No Solution Yet Submitted by ronen    
Rating: 4.2500 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Laplace's equation...ronen2005-06-26 21:13:49
SolutionSolution in Briefajosin2005-06-08 19:00:53
Solutionre: Which aleph?ajosin2005-06-07 13:55:55
SolutionWhich aleph?Erik O.2005-06-07 03:12:46
Questionre: Cheating....(does it really work?)ajosin2005-06-06 13:55:22
SolutionCheating....ajosin2005-06-04 02:15:41
re(2): SolutionEric2005-06-04 01:25:12
re(2): Solutionowl2005-06-03 22:13:53
re: SolutionRichard2005-06-03 21:56:55
SolutionEric2005-06-03 21:09:33
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