User talk:Peter Schmitt/Archive 3: Difference between revisions

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imported>Boris Tsirelson
(→‎Order: "lattice (order)" and "lattice (group)")
imported>Boris Tsirelson
(→‎Order: "lattice (order)" and "lattice (group)")
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::::"lattice (algebra)"? Is it "our" lattice, or a discrete subgroup..? [[User:Boris Tsirelson|Boris Tsirelson]] 12:42, 12 October 2010 (UTC)
::::"lattice (algebra)"? Is it "our" lattice, or a discrete subgroup..? [[User:Boris Tsirelson|Boris Tsirelson]] 12:42, 12 October 2010 (UTC)
::::: Mmmh, you are right, the second version would still be ambiguous. I only thought of "lattice (number theory) or/and "lattice (geometry)". But the first one is better, anyway. --[[User:Peter Schmitt|Peter Schmitt]] 12:48, 12 October 2010 (UTC)
::::: Mmmh, you are right, the second version would still be ambiguous. I only thought of "lattice (number theory) or/and "lattice (geometry)". But the first one is better, anyway. --[[User:Peter Schmitt|Peter Schmitt]] 12:48, 12 October 2010 (UTC)
::::::Still a problem: I am not sure that [http://en.wikipedia.org/wiki/Lattice_(discrete_subgroup) Lattice (discrete subgroup)] belongs to number theory or geometry rather than algebra. WP suggests "lattice (order)" and "lattice (group)"; not very satisfactory, but is there something better, or not? [[User:Boris Tsirelson|Boris Tsirelson]] 15:43, 12 October 2010 (UTC)
::::::Still a problem: I am not sure that [http://en.wikipedia.org/wiki/Lattice_(discrete_subgroup) Lattice (discrete subgroup)] belongs to number theory or geometry rather than algebra. WP suggests "lattice (order)" and "lattice (group)"; not very satisfactory, but is there something better, or not? They both can be treated as algebraic, in one sense or another. [[User:Boris Tsirelson|Boris Tsirelson]] 15:43, 12 October 2010 (UTC)

Revision as of 09:46, 12 October 2010


The account of this former contributor was not re-activated after the server upgrade of March 2022.


Hourglass drawing.svg Where Peter lives it is approximately: 05:17

< 2009(May19-Dec31) / 2010(Jan01-Aug28) / Sep 2010--2011

You've won the lottery for an invitation !!!

Peter, you just won the opportunity to take a look at the new Volatility (chemistry) article and apply your proof reading skills as well as your skill at writing comments on the article's Talk page. It also gives you the opportunity to tear yourself away from the forums. Enjoy !!! Milton Beychok 16:59, 21 September 2010 (UTC)

It is only a matter of style, but for my taste the "For more information see" is overdone: The same terms are linked just below them, and they are also listed as "Related articles. --Peter Schmitt 22:58, 22 September 2010 (UTC)
Thanks, Peter, for all the items you picked up ... I knew i could count on you. Milton Beychok 00:19, 23 September 2010 (UTC)

My bio

Peter as always I have great respect for you and your contributions. I hope this friendly discussion won't tarnish that. Here's what I posted to D. Matt Innis' talk page: The correct procedure would have been notifying a Constable of a potential infraction. It is the job of the Constable to take care of such matters. If every Citizen is allowed to "police" or correct other user pages mayhem could ensue. This is not the only time David Finn is offered to "correct" me and I have politely responded to his "corrections". In actuality, I probably have a bit more CZ membership time than he does, but I do not go around offering "help" unless asked. I posted this to Peter's page. Thanks!Mary Ash 14:37, 27 September 2010 (UTC)


CZ Authors

Anthony, by accident I noticed that you changed your "CZ Authors" category entry. You are now listed under "A" in the alphabetical list. --Peter Schmitt 23:01, 28 September 2010 (UTC)

Peter, I didn't 'change' the entry, I tried adding it, to see if I would show up in both the "A" and "S" alphabetical list. Didn't work. Fixed now.
Had thought about Aleta's question re easy way to find someone's user page when, say, she only remembered the first name. But experiment didn't work. Thanks for alerting me. Anthony.Sebastian 23:24, 28 September 2010 (UTC)

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I may not be available till Sunday, Oct. 10

--Peter Schmitt 13:55, 7 October 2010 (UTC)

Order

Peter, did you see Order (relation)? Do you like it? Here are some possible scenarios.

(0) Do nothing.
(1) One of us approves it, the other helps.
(2) One of us splits it (into "order" and "lattice"?), the other approves "order".

For now I am familiar with everything before "Dilworth's theorem". In order to approve it all, I have to take some books and learn. Also, lattices may be treated as partially ordered sets, but alternatively they may be treated as algebraic structures (with given operations, not relations). Boris Tsirelson 16:23, 9 October 2010 (UTC)

I prefer splitting for two reasons:
(a) I think it is didactically better to avoid putting too many material in one article,
(b) As you say, lattices are algebraic structures, orders are relations. They are related and induce each other, but they are different concepts.
Moreover, I think that "order relation" is a better title for the first part of the article which concentrates on introducing mathematical terminology and concepts. An article on "order" could be a non-technical introduction (or should be added to "order relation").
As for Dilworth's theorem: It is rather isolated in the current article. It could get its own page, or be included in some page on the structure of ordered sets. (Dilworth's theorem is equivalent to the marriage theorem on bipartite graphs, and the flow-cut(?) theorem on networks.)
--Peter Schmitt 22:23, 10 October 2010 (UTC)
I agree completely. So, who is the splitter and who is the approver? Boris Tsirelson 06:52, 11 October 2010 (UTC)
We should care about "lattice", it has other meanings. Boris Tsirelson 07:32, 11 October 2010 (UTC)
I do not mind to perform the split. But if you prefer to do it I do not mind, either.
Yes, "lattice (algebraic structure)" or "lattice (algebra)"
--Peter Schmitt 12:01, 12 October 2010 (UTC)
Nice; just do the split.
"lattice (algebra)"? Is it "our" lattice, or a discrete subgroup..? Boris Tsirelson 12:42, 12 October 2010 (UTC)
Mmmh, you are right, the second version would still be ambiguous. I only thought of "lattice (number theory) or/and "lattice (geometry)". But the first one is better, anyway. --Peter Schmitt 12:48, 12 October 2010 (UTC)
Still a problem: I am not sure that Lattice (discrete subgroup) belongs to number theory or geometry rather than algebra. WP suggests "lattice (order)" and "lattice (group)"; not very satisfactory, but is there something better, or not? They both can be treated as algebraic, in one sense or another. Boris Tsirelson 15:43, 12 October 2010 (UTC)