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User talk:Dannya222

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[edit] Welcome to Wikipedia!

Hello Dannya222, welcome to Wikipedia!

Here are some tips:

If you feel a change is needed, feel free to make it yourself! Wikipedia is a wiki, so anyone (yourself included) can edit any article by following the Edit this page link. Wikipedia convention is to be bold and not be afraid of making mistakes. If you're not sure how editing works, have a look at How to edit a page, or try out the Sandbox to test your editing skills.

If, for some reason, you are unable to fix a problem yourself, feel free to ask someone else to do it. Wikipedia has a vibrant community of contributors who have a wide range of skills and specialties, and many of them would be glad to help. As well as the wiki community pages there are IRC Channels, where you are more than welcome to ask for assistance.

If you have any questions, feel free to ask me on my talk page. Thanks and happy editing, Alphax Ï„εχ 07:23, 25 Jun 2005 (UTC)

[edit] Kuramoto model

Hello, and also a warm welcome from me. I noticed your impressive work on the Kuramoto model, thanks. You might have noticed that I changed some small things. In particular, I removed "Whew. Step back, take a breath, and now look at the above equations." I'm think this does not have the proper encyclopaedic tone, but feel free to add it back in if you want to.

I do have some questions, though. In what sense is the model exactly solvable? I can only find some particular solutions valid in the limit as N goes to infinity. In the definition, do "the most popular version" and "the simplest form" refer to the same thing? You say that the oscillators' equation decouple after you introduce the order variables, but aren't they still coupled though r and ψ? Or are r and ψ constant?

The plans you list on the talk page sound good (by the way, you should sign your comments on the talk page by typing four tildes, as Alphax suggests above). Perhaps keep in mind that videos do not work well when the article is printed. You might also want to talk a bit about applications. I believe I once attended a talk in which it was claimed that the Kuramoto model (or a very similar model) can model epilepsy; I'll try to find it in my notes.

I saw you ask on Help:Formula:

"Is it possible to include line numbers in mathematically-intensive pages? If not, where can I suggest adding this?"

I am not sure what you want (do you want numbers for the equations, or numbers for every line, and if the latter, why?), but the answer is almost certainly that it is not possible. Requests for software enhancements should go at MediaZilla, but the developers are very busy so don't expect a quick response.

You might be interested in Wikipedia:WikiProject Mathematics, which is where some of the mathematicians on Wikipedia hang out. You can find some math-specific information and guidelines there, and also ask questions. I will also do my best to answer any of your questions at my talk page.

Most importantly, continue contributing, and enjoy your stay here!
Best wishes, Jitse Niesen (talk) 20:48, 27 October 2005 (UTC)

Hi Jitse,
Thanks for your useful comments on my Kuramoto model page. I've changed the wording a bit in response to several of the ambiguities that you pointed out. There is definitely quite a bit still lacking, including applications (as you suggested). I've vaguely heard things about Kuramoto models & epilepsy, but there are other more concrete applications that I could put in.
About line numbers, I meant to say equation numbers. It's tough to refer to equations without being able to insert those. It's doable with the level of detail that I included in the Kuramoto page, but if I ever wanted to show a real calculation I think it would be next to impossible. Is it frowned upon to put a lot of math into Wikipedia pages? I don't see any real drawbacks to it as long as the introduction is clear to non-math people...
Anyway, thanks again for your comments. Feel free to correct me when my contributions are unclear.
Dannya222 05:47, 30 October 2005 (UTC)

Thanks for the corrections. There is no need to rush; I know that writing a good article cost a lot of time.

My opinion, which is shared with most mathematicians and physicists around here, is that we should try to make things as simple as possible, but not oversimplify so much that it hampers understanding. I wouldn't worry about having plenty of formulas. The level of detail is a bit of a grey area. Personally, I think that detailed calculations or proofs do not belong in an encyclopaedia in general. However, this depends very much upon the specific case (and on who you ask). For instance, I think the explanation in the section called Transformation suffices; we do not need to include the computation on how to derive the transformed equation,

Equation numbers would be very useful, but they are unfortunately not supported. You can emulate them by hand, for instance: "Consider the transformation

\xi = t-cx. \qquad\qquad (1)

Substitution of (1) into the equation yields …" It's a bit ugly, but better than nothing. -- Jitse Niesen (talk) 13:27, 30 October 2005 (UTC)


A nice article. Let me take a wild guess - would your advisor be Steve Strogatz?! Paul Matthews 07:53, 12 October 2006 (UTC)

Good guess, Paul. --Dannya222 02:38, 23 October 2006 (UTC)

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