tag:blogger.com,1999:blog-32371144.comments2017-04-04T06:15:57.104-04:00Room for DoubtLev Reyzinhttps://plus.google.com/100238312854618140370noreply@blogger.comBlogger77125tag:blogger.com,1999:blog-32371144.post-62350586420746742642017-03-30T05:55:20.824-04:002017-03-30T05:55:20.824-04:00Nice post!! Thanks for sharing.
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dermology hair rem...Nice post!! Thanks for sharing.<br /><a rel="nofollow">dermology hair removal cream</a>Stella Matthewshttp://www.blogger.com/profile/18366394534156586032noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-76546806937436963422015-12-21T15:24:28.739-05:002015-12-21T15:24:28.739-05:00I'm glad someone I know understands what I mea...I'm glad someone I know understands what I mean! And thanks for the link -- I did no Googling about this "phenomenon" before posting. But actually, my surprise isn't limited to the relationship of math and the natural sciences, but also to other realms.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-34912783869027833752015-12-21T15:19:49.752-05:002015-12-21T15:19:49.752-05:00omg yes, it's super weird. practically suspici...omg yes, it's super weird. practically suspicious! i think that the physicist Eugene Wigner generally gets credit for starting serious discussion of this. https://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciencesdreeveshttp://www.blogger.com/profile/13007296061332653169noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-2373273077190635302015-09-20T11:00:39.224-04:002015-09-20T11:00:39.224-04:00One needs to be cautious in taking a piecemeal app...One needs to be cautious in taking a piecemeal approach to Turing's work, there is an overarching vision and mathematical agenda giving a cohesive form to Turing's career, which is still alive for us now. <br />A comment on Baker-Gill-Solovay: Many mathematicians and computer scientists have become aware over the years that not all computability and complexity theoretic arguments are relativizable. What Baker-Gill-Solovay point to is the fact that certain simple diagonalising techniques do relativize, so pointing to the necessity for something more subtle from the theorist's tool bag.pmt6sbchttp://www.blogger.com/profile/17516781833165880822noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-2596752451780642622015-01-01T19:34:03.425-05:002015-01-01T19:34:03.425-05:00Thanks Grigory, that's helpful.Thanks Grigory, that's helpful.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-75887715077989871652015-01-01T19:01:02.745-05:002015-01-01T19:01:02.745-05:00I was running a reading group two years ago based ...I was running a reading group two years ago based on the Hopcroft-Kannan book. Back then it was called "Computer Science for the Information Age". We covered the first 7 chapters during one semester and I liked it a lot. If I had to do it again, I would probably skip the G(n,p) chapter in favor of covering more of the rest. Grigory Yaroslavtsevhttp://www.blogger.com/profile/13047893775057278591noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-61055171027317545812014-11-03T08:13:22.353-05:002014-11-03T08:13:22.353-05:00No we are certainly not committing to just a singl...No we are certainly not committing to just a single day. For example, if you get 4 you know that 2 is half as much. But the real difference between the actual times can be 2 hours, or 15 hours, or 28 hours and so on (13n+2). If it s 2 hours you will be executed the same day and you either win 4 hours or lose 2 hours by switching. If it is 15 hours you will either win 30 hours or lose 15 hours by switching. If it is 28 hours you will either win 56 hours or lose 28 hours by switching. And so on with the worse alternative 13n+2 hours earlier and the better alternative 26n+4 hours later for some n. In this way the real execution times can differ by days, weeks, months or even years and the better alternative if you switch is always twice as long as the worse alternative. So it really does matter which envelope you pick.Nick Ergodoshttp://www.blogger.com/profile/00103846473824755751noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-45877720621941627892014-09-26T02:36:00.457-04:002014-09-26T02:36:00.457-04:00This comment has been removed by the author.Nick Ergodoshttp://www.blogger.com/profile/00103846473824755751noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-74741404777534659202014-09-25T21:52:36.793-04:002014-09-25T21:52:36.793-04:00I'm confused about this example. Even if the ...I'm confused about this example. Even if the clock works strangely at certain times, I don't understand how 11 is worse than 9 -- isn't it always later in the day? Or are you not committing to a day? Also I don't understand how you re-define "twice". By this circular definition it seems that every number is 2^11 times itself.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-68004405919552728372014-09-25T18:25:42.214-04:002014-09-25T18:25:42.214-04:00If you get 11 you do indeed want to switch. All yo...If you get 11 you do indeed want to switch. All you know is that either you have the {12, 11} pair or the {11, 9} pair in front of you, each with a 50% probability of being the case. If you switch you will either end up with 12 o'clock which is half of what you have or 9 o'clock which is twice of what you have. So to maximize the expected value you should switch. The same argument works for whatever you find in your envelope. Please note that the clock isn't an entirely ordinary clock. Nick Ergodoshttp://www.blogger.com/profile/00103846473824755751noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-56763186561942526722014-09-25T13:26:19.915-04:002014-09-25T13:26:19.915-04:00In this example, it is no longer true that no matt...In this example, it is no longer true that no matter what value you get, you want to switch. Eg if you get 11, you don't want to switch. If you get 4, it happens that you do. I don't see a paradox here.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-41367080145210524312014-09-10T05:53:02.509-04:002014-09-10T05:53:02.509-04:00Maybe you like the Jailhouse Clock example better?...Maybe you like the Jailhouse Clock example better? Please see page 54 in philpapers.org/archive/ERGTEO.pdf This scenario is completely finite.Nick Ergodoshttp://www.blogger.com/profile/00103846473824755751noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-78105468062924382472014-07-03T11:22:58.381-04:002014-07-03T11:22:58.381-04:00That's a reasonable viewpoint, but too conserv...That's a reasonable viewpoint, but too conservative for my taste. Getting a Ph.D. is a risk, but if you enjoy the experience, it very much lessens the opportunity cost even if a research career doesn't work out. And if a research career does work out, it's much more stable/lucrative than being an artist or an actor (for whom the "go only if you CANNOT not go" advice seems more appropriate).Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-34397278636229972772014-07-03T08:25:10.661-04:002014-07-03T08:25:10.661-04:00Would this sound right to you: go for PhD if you f...Would this sound right to you: go for PhD if you feel that you CANNOT not go... Otherwise - don't.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-32371144.post-59232001442063609242013-12-06T12:48:16.605-05:002013-12-06T12:48:16.605-05:00Glad you are interested. You are welcome to email ...Glad you are interested. You are welcome to email me any questions, but you should apply via our website: http://www.math.uic.edu/graduate/applicants . All applications are evaluated by a committee.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-16806321845805512022013-12-06T11:03:50.789-05:002013-12-06T11:03:50.789-05:00I am interested... can I email at your address wit...I am interested... can I email at your address with my details?shaybellezzahttp://www.blogger.com/profile/06923589224754803068noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-53646275578145752702013-01-13T23:30:21.571-05:002013-01-13T23:30:21.571-05:00RH is solved and done .RH is solved and done .Sunkhirous Yadegarhttp://www.blogger.com/profile/07351205729018789001noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-32736161051137701952012-12-31T14:23:10.364-05:002012-12-31T14:23:10.364-05:00Thanks -- I was aware of his work on the Riemann H...Thanks -- I was aware of his work on the Riemann Hypothesis but didn't think it important enough to include on the list. However, I hadn't realized the method was more widely used, so I'll add it as # 14.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-41634301595710852082012-12-29T07:30:19.646-05:002012-12-29T07:30:19.646-05:00Turing’s Zeta Machine & the Riemann Hypothesis...Turing’s Zeta Machine & the Riemann Hypothesis (http://turingos.org/turing-timeline/turings-zeta-machine-the-riemann-hypothesis/)<br />In June 1950 he used the prototype Manchester University Electronic Computer to do some calculations concerned with the distribution of the zeros of the Riemann zeta-function, specifically whether there are any zeros not on the critical line in certain intervals. The pre-war record for the number of zeros located on the line was held by Ted Titchmarsh, confirming that the first 1041 points were OK. Turing extended this to the first 1104 zeros but then, unfortunately, the computer broke down. He devised what is now called “Turing’s method” for easier computational analysis of the function, detailed in his papers “A method for the calculation of the zeta-function” and “Some calculations of the Riemann zeta-function,” which are both widely referenced in modern mathematical publications.Alan Richmondhttp://www.blogger.com/profile/17383150571403817857noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-12745963503536749012012-10-20T06:53:36.168-04:002012-10-20T06:53:36.168-04:00@Aaron I think that apart from longevity, journals...@Aaron I think that apart from longevity, journals provide the very valuable service of peer-reviewing long articles. While many ideas can be proven in the short space of a conference article, some cannot be. I definitely appreciate when an author takes the time and effort required to completely describe a result. This is especially important for very intricate proofs and ideas. As a result, journal versions of articles are, in my opinion, much more useful to the scientific community in the long run.<br /><br />That being said, I agree with Lev and many others in that the journal system is very dated. Nicholas Ruozzihttp://www.blogger.com/profile/03901850344145533035noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-6870293703528339152012-08-11T22:25:12.889-04:002012-08-11T22:25:12.889-04:00Sorry "Unknown" was me.Sorry "Unknown" was me.Aaron Johnsonhttp://www.blogger.com/profile/04160131231050054296noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-76241001023236017072012-08-11T22:22:38.149-04:002012-08-11T22:22:38.149-04:00I don't quite see either what value journals p...I don't quite see either what value journals provide, but I can imagine that long-term archiving is one of them. Assuming there is some benefit to devoting significant resources toward running the journal, the Gold Model (which is essentially the model of conferences that require an author register and attend) seems like it would be better than the current semi-closed system. it would also make sense to me for the research institutions that are already providing salaries and offices to the "volunteers" to get together and create or fund their own "publishers". So fundamentally the same funding situation as now, except the material is also open-access.Unknownhttp://www.blogger.com/profile/04160131231050054296noreply@blogger.comtag:blogger.com,1999:blog-32371144.post-56147333432036450002012-08-08T10:57:15.834-04:002012-08-08T10:57:15.834-04:00Thanks for your comment. ACM isn't bad, and i...Thanks for your comment. ACM isn't bad, and in my view better than gold access models, but I hope we can do better.<br /><br />I'm not very worried about the papers being around in 100 years, but I agree it needs to be thought about. I imagine some solutions could include conferences forcing their proceedings to be posted to arXiv, or even conference/journal acceptances just being arXiv tags (I think this idea comes from Doron Zeilberger, partly in jest). I'm certainly not worried about arXived papers being around, and the centralization could make things more efficient.Lev Reyzinhttp://www.blogger.com/profile/09629175455869565423noreply@blogger.com