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Re: Re: Questions regarding MatrixExp, and its usage

• To: mathgroup at smc.vnet.net
• Subject: [mg63376] Re: [mg63355] Re: [mg63335] Questions regarding MatrixExp, and its usage
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Tue, 27 Dec 2005 04:42:47 -0500 (EST)
• References: <200512250719.CAA01655@smc.vnet.net> <94B75903-6BC7-4E34-83F3-706B65D8A122@mimuw.edu.pl> <43B0286B.5050005@umbc.edu> <835A5DF5-DDB1-4C30-80C1-15895F074328@mimuw.edu.pl> <08253694-9065-4A00-938F-446C89AC7175@mimuw.edu.pl>
• Sender: owner-wri-mathgroup at wolfram.com

On 27 Dec 2005, at 09:42, Andrzej Kozlowski wrote:

>
> On 27 Dec 2005, at 08:19, Andrzej Kozlowski wrote:
>
>>  Now you should  know that in general this is not going to hold in  
>> all of complex plane (but will hold in most).
>
>
> I wrote the above quite thoughtlessly: obviously there no sense in  
> which the equality "holds in most of the complex plane". Clearly in  
> every sense it holds just as often as it does not. Sorry about  
> that; I replied too quickly.
> Andrzej Kozlowski
>
>


One more correction is needed: in a certain obvious sense the  
equation does not hold "more often" than it holds since Exp is a  
surjective mapping of the compelx plane to itself which covers it  
infinitely many times (the fibre is Z - the integers).

Because of the holidays I am now constanlty in a rush and can't find  
enough free time even to write a proper reply!

Andrzej Kozlowski

• References:
  • Re: Questions regarding MatrixExp, and its usage
    • From: "Michael Chang" <michael_chang86@hotmail.com>