181
edits
Changes
Jump to navigation
Jump to search
Line 65:
Line 65: + + + + + +
→vacation: new section
:::I like your suggestions. The current A template, over the top or not, misstates the Riemann hypothesis anyway, so I think it certainly needs to be changed: the sum <math>\sum_n n^{-s}</math> converges only on the half-plane <math>\textrm{Re } s > 1</math>, and it's fairly easy to show that there are no zeroes in this region. So the problem posed in the template has no solutions, and there's nothing too hard about it. The Riemann hypothesis asks one to analytically continue the function defined by this sum to <math>\mathbb C \setminus \{1\}</math> and look for the zeroes of the continuation.
:::I like your suggestions. The current A template, over the top or not, misstates the Riemann hypothesis anyway, so I think it certainly needs to be changed: the sum <math>\sum_n n^{-s}</math> converges only on the half-plane <math>\textrm{Re } s > 1</math>, and it's fairly easy to show that there are no zeroes in this region. So the problem posed in the template has no solutions, and there's nothing too hard about it. The Riemann hypothesis asks one to analytically continue the function defined by this sum to <math>\mathbb C \setminus \{1\}</math> and look for the zeroes of the continuation.
:::If we do want to keep the A template as an open question, we can just tweak your suggestion to <math>\pi_m(S^n) = ?</math>. There's an article already about higher homotopy groups, though not a very good one. --[[User:MarkGall|MarkGall]] 17:47, 4 August 2009 (EDT)
:::If we do want to keep the A template as an open question, we can just tweak your suggestion to <math>\pi_m(S^n) = ?</math>. There's an article already about higher homotopy groups, though not a very good one. --[[User:MarkGall|MarkGall]] 17:47, 4 August 2009 (EDT)
== vacation ==
I'm going into semi-retirement. I may want to come back later, but, for now, editing math articles is like tending a flower garden during a nuclear war. I do not know whether RoyL's edits to the [[divergence]] and [[curl]] articles are an improvement. I've thought about this issue, and can't make up my mind. And RoyL has been banned. There's no one to talk to. Furthermore, I could be IP blocked at any moment. Not knowing whether today is going to be the day that I die is too stressful.
Please do something about the math level templates (see above.) Only sysops can edit these. [[User:PatrickD|PatrickD]] 14:47, 10 August 2009 (EDT)