i have two problems: 1.let a1,a2,a3,...,an(n>3) be real numbers that a1+a2+...+an>=n and a1^2+a^2+...+an^2>=n^2 prove that max(a1,a2,...,an)>=2 2.let a0,a1,...,an be numbers from the interval (0,p/2) such that tan(a0-p/4)+tan(a1-p/4)+...+tan(an-p/4)>=n-1. prove that tan(a0)*tan(a1)*...*tan( an)>=n^(n+1)

Well this does look an awful lot like a homework problem.

Unless gershon kats can convince me that the problem relates to game development, I''m going to close the thread.

Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.

I''m closing this thread and several others because the question appears to be a school homework assignment from a math class. The purpose of homework is to teach students to build their comprehension of a subject and their problem-solving skills, possibly with the assistance of other students in the same class or teachers of the class. Especially for math problems such as the one posed here, it is absolutely NOT appropriate to seek the answers from folks outside one''s class or school.

These forums are to be used for assistance in game development activities only.

Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.