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MathGroup Archive 2004

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RE: Min[], Max[]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48329] RE: [mg48320] Min[], Max[]
  • From: "Ingolf Dahl" <ingolf.dahl at telia.com>
  • Date: Tue, 25 May 2004 07:16:44 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Frank,
Say that we have two sets A and B.
Then we should have
Max[Union[A,B]]==Max[Max[A],Max[B]]
If B is an empty set, Mathematica could represent Max[B] as Max[] or
Max[{}].
If Max[]=-Infinity, the above relation for Max[Union[A,B]] is valid for an
empty set B combined with any set A. For any other value x of of Max[], the
set A = {x-1} combined with the empty set B will make the relation
unsatisfied.

Ingolf Dahl
Sweden

>-----Original Message-----
>From: Frank Brand [mailto:fank.brand at t-online.de]
To: mathgroup at smc.vnet.net
>Sent: Monday, May 24, 2004 06:45
>To: mathgroup at smc.vnet.net
>Subject: [mg48329] [mg48320] Min[], Max[]
>
>
>Dear newsgroup members,
>
>can anyone explain me what´s the sense in the definition of
>
>Min[{}]= Infinity and Max[{}]= -Infinity
>
>Thanks in advance
>Frank
>
>
>Prof. Dr. Frank Brand
>Budapester Str. 13
>10787 Berlin
>
>+49 (0)30 - 25 79 36 62
>0179 - 215 58 04
>
>frank.brand at t-online.de
>


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