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MathGroup Archive 2000

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Re: Inner product can be modified?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg21476] Re: [mg21445] Inner product can be modified?
  • From: "David Park" <djmp at earthlink.net>
  • Date: Tue, 11 Jan 2000 04:17:54 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Denis,

Sure, there is nothing wrong with using something other than Plus in an Inner
product. This is why Wolfram provided the capability. There are probably myriads of
cases. Look at the Further Examples under Inner in the On Line Help. Here is one
simple example:

Inner[Power, {a, b, c}, {d, e, f}, Times]
a^d*b^e*c^f

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/

>Hi,
>
>I've seen in the documentation that the command
>  Inner[]
>can be modified so that it is not necessarily the
>sum (Plus) that is executed on the elements.
>
>Is is done frequently in mathematics? I discover that
>I needed to do that in my own application, but though
>I was doing a crazy thing, so if other did, I would
>like to know.
>
>What kind of application requires a different aggregate
>operation than Plus?
>Is is well-known?
>Do you have an easy-to-access reference where this
>is done?
>
>Thank you for your help.
>Denis
>
>P.S. mail and post reply appreciated.
>--
>
>Denis Cousineau, Postdoc           *****************************
>Cognitive psychology               *                           *
>Indiana University                 * Etudiant devant l'eternel *
>Psychology Building                *                           *
>Bloomington, 47405                 *****************************
>
>Office: (812) 856-5217             Fax:    (812) 855-1086
>E-mail: decousin at indiana.edu       http://Prelude.PSY.UMontreal.CA/~cousined
>
>



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