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January 10th, 2011, 10:53 AM   #1
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Finding a real function

Hi,

Can we find a function verifying : ?

Thanks a lot
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January 10th, 2011, 11:16 AM   #2
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Re: Finding a real function

No, take x=y. Left hand side has to be 0, right hand side almost never will be.
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January 10th, 2011, 11:24 AM   #3
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Re: Finding a real function

Quote:
Originally Posted by Thommy
No, take x=y. Left hand side has to be 0, right hand side almost never will be.
What about x=y=0 ?
I think in this case the relation stands, isn't it ?
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January 10th, 2011, 11:38 AM   #4
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Re: Finding a real function

Quote:
Originally Posted by rmas
Quote:
Originally Posted by Thommy
No, take x=y. Left hand side has to be 0, right hand side almost never will be.
What about x=y=0 ?
I think in this case the relation stands, isn't it ?
You need something that will work for all x and y, not just some.
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January 10th, 2011, 11:47 AM   #5
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Re: Finding a real function

Quote:
Originally Posted by CRGreathouse
Quote:
Originally Posted by rmas
Quote:
Originally Posted by Thommy
No, take x=y. Left hand side has to be 0, right hand side almost never will be.
What about x=y=0 ?
I think in this case the relation stands, isn't it ?
You need something that will work for all x and y, not just some.
What about the cases where x,y are not 0 and x != y ?
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January 10th, 2011, 01:36 PM   #6
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Re: Finding a real function

Quote:
Originally Posted by rmas
What about the cases where x,y are not 0 and x != y ?
What about them?
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