From: Martin Escardo <m.escardo@cs.bham.ac.uk>
To: Dusko Pavlovic <dusko@kestrel.edu>
Cc: peasthope@shaw.ca, categories@mta.ca
Subject: Re: Finding the inverse of a function.
Date: Wed, 21 Sep 2011 14:02:42 +0100 [thread overview]
Message-ID: <E1R6o1Q-0006Qx-L2@mlist.mta.ca> (raw)
In-Reply-To: <E1R6Lu2-00008i-OA@mlist.mta.ca>
This has been further developed in several papers by Rutten and other
people.
(This is entertaining but is not categorical:
http://www.cs.dartmouth.edu/~doug/music.ps.gz)
Martin
On 20/09/11 18:55, Dusko Pavlovic wrote:
> infinite series and analytic functions can be simply and conveniently manipulated in categories of coalgebras. their taylor and laplace transforms turn up as coalgebra isomorphims. the basics of this approach are in my LICS 98 paper with martin escardo,
> http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5684#
> or
> http://www.isg.rhul.ac.uk/dusko/coalgebra.html
> neither martin nor i really pursued this path, which is perhaps a mistake, since it seems that a powerful categorical tool lies there.
>
> 2c,
> -- dusko
>
> On Sep 16, 2011, at 5:42 PM, peasthope@shaw.ca wrote:
>
>> Is CT any help in getting an overview of infinite series?
>>
>> I'm curious to find an inverse of f(\theta) = \theta \sin \theta
>> and wonder whether there is an approach more insightful than
>> the traditional course in applied analysis.
>>
>> Thanks, ... Peter E.
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2011-09-21 13:02 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-09-16 16:42 peasthope
2011-09-20 17:55 ` Dusko Pavlovic
2011-09-21 13:02 ` Martin Escardo [this message]
[not found] ` <4E79E072.8050104@cs.bham.ac.uk>
2011-10-05 12:52 ` Dusko Pavlovic
2011-10-06 16:24 peasthope
2011-10-06 22:32 peasthope
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