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Re: Exchanging the order of summation
Posted:
Nov 10, 2011 6:04 PM
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Resent-From: <bergv@illinois.edu> From: Vladimir Drobot <drobotv@gmail.com> Date: November 10, 2011 12:50:08 PM MST To: "sci-math-research@moderators.isc.org" <sci-math-research@moderators.isc.org> Subject: Re: Exchanging the order of summation Reply-To: "sci.math.research@googlegroups.com" <sci.math.research@googlegroups.com>
It is really quite a trivial observation, but if, in your notation, f(n, q) is non-negative, then you can interchange the limits anyway you want. So you don't need the condition that K is finite in this case.
As ever,
Vlad
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= * Vladimir Drobot * Retired and gainfully unemployed * http://www.vdrobot.com * mailto:drobot@pacbell.net -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
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