Difference between revisions of "2007 IMO Shortlist Problems/A1"
(New page: == Problem == (''New Zealand'') You are given a sequence <math>a_1,a_2,\dots ,a_n</math> of numbers. For each <math>i</math> (<math>1\leq 1\leq n</math>) define <center><math>d_i=\max\{a_...) |
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Revision as of 11:06, 10 January 2009
Problem
(New Zealand) You are given a sequence of numbers. For each () define
and let
(a) Prove that for arbitrary real numbers ,
(b) Show that there exists a sequence of real numbers such that we have equality in (a).
Solution
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