Is an organism a manifold?
Do the parts have to be heterogeneous? Dictionary definition would seem to
suggest so. Thus a regiment would not be a manifold (except insofar as it
contains soldiers of different ranks).
n
Nicholas S. Thompson
Emeritus Professor of Psychology and Ethology,
Cla
So to return to the forest question... Sherwood Forest is I presume
another manifold. I know it is now discontiguous, separated by urban
development and such (perhaps Epping Forest is too). Is it still a
manifold? I could ask the same question about the British Isles: lots
of little places,
I suspect we still have a ways to go before we exhaust the manifold
definitions...
--Doug
On Tue, Aug 4, 2009 at 7:40 PM, russell standish wrote:
> On Tue, Aug 04, 2009 at 03:51:38PM -0600, Nicholas Thompson wrote:
> > This is why I like to ask questions of PEOPLE: because when you get
> > confl
On Tue, Aug 04, 2009 at 03:51:38PM -0600, Nicholas Thompson wrote:
> This is why I like to ask questions of PEOPLE: because when you get
> conflicting answers, you have somewhere to go to try and resolve the
> conflict.
>
> So I have three different definitions of a manifold:
>
> 1. A patchwor
This is why I like to ask questions of PEOPLE: because when you get
conflicting answers, you have somewhere to go to try and resolve the
conflict.
So I have three different definitions of a manifold:
1. A patchwork made of many patches
2. The structure of a manifold is encoded by a collection
A manifold can be described as a
complex patchwork made of many patches.
If we try to describe self-consciousness
as a manifold then we get
- the patch of a strange loop
associated with insight in confusion
(according to Douglas Hofstadter)
- the patch of an imaginary
"center of narrative g
A manifold is something that can't be a function because it is multi-valued
where a function must be single-valued.
A circle, the set of points which satisfy the equation x^2 + y^2 = r^2, is a
manifold of points because there are two values of y that satisfy the
equation for each value of x, -r <
This is an interesting use of "manifold".
In mathematics, a manifold has a well-defined
meaning. The structure of a manifold
is encoded by a collection of charts that form
an atlas. A chart is a mapping between the
manifold and a simple (euclidean) space, see
http://en.wikipedia.org/wiki/Manifol
I wonder if anybody has any comment to make on the following passage from EB
holt? (Remember, I am the guy who tends to ask questions of PEOPLE when he
should look them up, so feel free to ignore me here.)
Holt (1914) writes: "If one is walking in the woods, and remarks that "All
this is Epp
Its interesting how many of the same concepts and people have been
coming up lately.
Tim Gowers and his brilliant Very Short Introduction. His video of
his keynote at the Millennium conference. Then he pops up in a
collaboration with Terence Tao, who also presented there. (He is
definite
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