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[VA] SRC #008 - 2021 is here !
01-04-2021, 07:08 PM
Post: #14
RE: [VA] SRC #008 - 2021 is here !
(01-04-2021 05:56 PM)Gene Wrote:  Biggest number I can see is a portion of the factorial.

No, we would like as many equal numbers as possible.
Say, we partition number N into n parts.

AM-GM inequality:

\(\Large{x_1\,+\,x_2\,+\,x_3\,+\,\cdots\,+\,x_n \over n} \normalsize
≥ \sqrt[n]{x_1\;x_2\;x_3\;\cdots\;x_n}\)

LHS = N/n = constant
RHS = LHS, i.e. maximized products, when \(x_1 = x_2 = x_3 = \cdots = x_n\)
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Messages In This Thread
RE: [VA] SRC #008 - 2021 is here ! - Gene - 01-02-2021, 01:49 AM
RE: [VA] SRC #008 - 2021 is here ! - robve - 01-03-2021, 06:33 PM
RE: [VA] SRC #008 - 2021 is here ! - robve - 01-05-2021, 03:39 AM
RE: [VA] SRC #008 - 2021 is here ! - Gene - 01-04-2021, 05:56 PM
RE: [VA] SRC #008 - 2021 is here ! - Albert Chan - 01-04-2021 07:08 PM
RE: [VA] SRC #008 - 2021 is here ! - Gene - 01-04-2021, 07:24 PM
RE: [VA] SRC #008 - 2021 is here ! - Gene - 01-06-2021, 02:54 PM
RE: [VA] SRC #008 - 2021 is here ! - EdS2 - 01-08-2021, 01:32 PM



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