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>