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Sets, Maps and Symmetry Groups Course Discussion List


Re: group project 3

Posted by David Molnar on January 10, 19100 at 21:16:36:

In Reply to: group project 3 posted by Kevin Hall on January 08, 19100 at 13:21:56:

> But I can't figure out what to do with the 1/2, 1/3,...,1/n+1, >the numbers that appear in the denominators of the terms in >d(If,Ig). If it weren't for these terms, we could let C = r and >then it would be true that d(If,Ig) <_ d(f,g), but with these >terms I'm not sure it's still true. Any ideas on how to deal >with these numbers in the denominators?

Maybe I'm reading too quickly, but won't these numbers just make d(If,Ig) smaller? So the inequality still holds and I is still a contraction. It's just that the value of C is not as tight as
it could be. Does that work?


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