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TaiPan~SP!
Posts: 1016 Location: Sydney, Australia
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Posted: May 04, 2007, 11:46 pm •
# 1
For each function  which is defined for all real numbers and satisfies
and
determine the value  .
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cincodemayo5590
Posts: 1143 Location: Chicago
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Posted: May 05, 2007, 9:27 am •
# 2
BanishedTraitor wrote: For each function  which is defined for all real numbers and satisfies  and  determine the value  .
Maybe a bit of progress...From the first we have that  . Also,  . The trivial solution is  .  . Then... I don't know.
_________________ Say this ten times quickly: The product of the sums of squares is greater than the square of the sum of products!
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JBL
Posts: 11724 Location: Brooklyn, NY or Cambridge, MA
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Posted: May 05, 2007, 9:29 am •
# 3
Good start ... you might try Hidden Textsubbing  into the second equation.
_________________ Joel
Hi Deeps! <3
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cincodemayo5590
Posts: 1143 Location: Chicago
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Posted: May 05, 2007, 9:40 am •
# 4
JBL wrote: Good start ... you might try Hidden Textsubbing  into the second equation. Alright,so that gives us  .  Thanks, JBL.
_________________ Say this ten times quickly: The product of the sums of squares is greater than the square of the sum of products!
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t0rajir0u
Posts: 12301 Location: Cambridge, MA
Blog: View Blog
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Posted: May 05, 2007, 4:17 pm •
# 6
The last step  .
Question: What family of functions is described by the first condition alone?
_________________ Annoying Precision (http://qchu.wordpress.com/)
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cincodemayo5590
Posts: 1143 Location: Chicago
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Posted: May 06, 2007, 7:41 am •
# 7
Altheman wrote: root 5753 is not in Z
Yea, sorry, but I was working from what I had in my first post. 
_________________ Say this ten times quickly: The product of the sums of squares is greater than the square of the sum of products!
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