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MathGroup Archive 2004

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RE: Min[], Max[]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48336] RE: [mg48320] Min[], Max[]
  • From: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
  • Date: Tue, 25 May 2004 07:16:52 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

We have

In[4]:= Attributes[Max]
Out[4]= {Flat, NumericFunction, OneIdentity, Orderless, Protected}

And by definition

Max[{a1, a2,...}, {b1, b2, ...}, ...] == Max[a1, a2, ..., b1, b2, ...]
Min[{a1, a2,...}, {b1, b2, ...}, ...] == Min[a1, a2, ..., b1, b2, ...]


Such we have

 element == Max[element] 
	   == Max[{element}]
	   == Max[{element},{}]
	   == Max[Max[{element}], Max[{}]]
         == the greater of element and Max[{}]

for any real element this forces Max[{}] to be -Infinity.

Similar for Min[{}] == Infinity.


Of course then we have also 

In[5]:= Max[]
Out[5]= -Infinity
In[6]:= Min[]
Out[6]= Infinity


--
Hartmut Wolf


>-----Original Message-----
>From: Frank Brand [mailto:fank.brand at t-online.de]
To: mathgroup at smc.vnet.net
>Sent: Monday, May 24, 2004 6:45 AM
>To: mathgroup at smc.vnet.net
>Subject: [mg48336] [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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