Thread: Problem 40
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Old November 11th, 2007, 10:07 AM
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Quote:
Originally Posted by CaptainBlank View Post
These proofs are thinly disguised use of the Stone-Weierstrass theorem.
You got the main part right! Weierstrass theorem is the secret trick here.

Quote:
Originally Posted by Jhevon
Now i can see where the problem here would be, the "obviously" part.
It is really not that obvious.

Quote:
Originally Posted by janvdl View Post
1.) (\frac{1}{2007} + \frac{1}{2007}) \times (\frac{1}{2007} + \frac{1}{2007})

= \frac{4}{4028049}

= \frac{1}{1007012,25}
How did you get that? My solution is much longer.
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