Re: SUO: Re: Basics of Process and Event, 3D and 4D
Did Oakland score well during the season?
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> A couple of off-list questions about the definition of a manifold
> make me think that this additional comment might be useful here.
>
> Pretty much the whole idea is contained in that "manifold picture"
> that shows how two charts from an atlas -- think of aerial photos --
> overlap in their mapping of the underlying "real world" space.
> The rest is just analytic details that I kinds say blah-blah
> over unless I have an exam problem to solve, which I don't.
> The problem here is to stand back and think about how to
> get the right linguistic-logical analogue, where the
> different charts are different languages or codes
> or ways of talking and thinking about a commonly
> underlying world. I started an impressionist
> interpretation here:
>
> http://suo.ieee.org/ontology/msg04782.html
>
> There is also a reading from a Diff Geom for Engineers book:
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> DIF. Differential Geometry
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> Preface
>
> 01. http://suo.ieee.org/ontology/msg04056.html
>
> 1. Introduction
>
> 02. http://suo.ieee.org/ontology/msg04057.html
> 03. http://suo.ieee.org/ontology/msg04058.html
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> 2. Manifolds And Their Maps
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> 2.1. Differentiable Manifolds
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> 04. http://suo.ieee.org/ontology/msg04059.html
> 05. http://suo.ieee.org/ontology/msg04060.html
> 06. http://suo.ieee.org/ontology/msg04061.html
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> 2.2. Examples
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> 07. http://suo.ieee.org/ontology/msg04062.html
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> 2.3. Manifold Maps
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> 08. http://suo.ieee.org/ontology/msg04063.html
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> 3. Tangent Spaces
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> 09. http://suo.ieee.org/ontology/msg04065.html
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> The above material is excerpted from:
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> | Brian F. Doolin & Clyde F. Martin,
> |'Introduction to Differential Geometry for Engineers',
> | Marcel Dekker, New York, NY, 1990.
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> This is the math that made it possible for Einstein to dream up relativity,
> which demands a way to relate the data collected in one reference frame to
> the data collected in another reference frame and reconstruct what it says
> about the objective world that generated these very diverse kinds of data.
> We could get a big leg up on intercommunity problems by working out the
> qualitative analogue of this concept, a thing I've been working on for
> the last 10 or 15 years in my differential logic work.
>
> http://suo.ieee.org/ontology/msg04799.html
>
> Jon Awbrey
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--
Pierre Grenon
IFOMIS Uni Leipzig
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http://people.ifomis.uni-leipzig.de/pierre.grenon/
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