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# Posts

### May 26, 2015

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Originally posted on The Thesis Whisperer:This letter was written by an experienced academic at ANU to her PhD student, who had just presented his research to a review panel and was still licking her wounds. The student sent it to me and I thought it was a great response I asked the academic in…
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sotfom iii conference
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The letter from the president of The University of Victoria informing me about my honorary doctorate was a complete surprise. “My former graduate students and postdocs, who are now on the faculty at UVic, must have been behind this nomination,” I … Continue reading →
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5 + 2 - 6 = 1^5 Also: 52 (mod 6) = |1 - 5| Also: (5 * 2) - 6 = |1 - 5|
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Filed under: pictures, Travel Tagged: Italia, pigeon, Siena, Tuscany
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Air quality in Poland is in general rather poor, according to some sources the second worst in Europe. I live in Poland in a small town of about 9000 people. Since it is close to Wrocław, people consider it rural. There is some truth in that – it is surrounded by forests that are a […]
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To Edinburgh yesterday for the admission of new Fellows of the Royal Society of Edinburgh. The grey city was looking at its best in the spring sun: people were sitting on the grass in Princes Street Gardens, or crowding round … Continue reading →
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When assuming the axiom of choice the product topology and box the topology are quite different when considering infinite products. For example the Tychonoff product of countably many sets of three elements is compact, metrizable an all in all a very nice space. On the other hand, the box product is not separable or second … Continue reading When the box means nothing →
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I’ve just uploaded to the arXiv my paper “Cancellation for the multilinear Hilbert transform“, submitted to Collectanea Mathematica. This paper uses methods from additive combinatorics (and more specifically, the arithmetic regularity and counting lemmas from this paper of Ben Green and myself) to obtain a slight amount of progress towards the open problem of obtaining […]
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John Forbes Nash and his wife Alicia were tragically killed in a car crash on May 23, having just returned from a ceremony in Norway where John Nash received the prestigious Abel Prize in Mathematics (which, along with the Fields Medal, is the closest thing mathematics has to a Nobel Prize). Nash’s long struggle with […]
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Last Update: May 25, 2015 Opinion 144: "Dear Sirs: Nash is a mathematical genius": True, But even more Importantly, John Nash was a True Visionary, who realized that using computers offers "another route to knowledge, rather than mere ideas'' (Written: May 25, 2015) This post has been generated by Page2RSS

### May 25, 2015

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[Here are comments made by Matt Graham that I thought would be more readable in a post format. The beautiful picture of the Alps above is his as well. I do not truly understand what Matt’s point is, as I did not cover continuous time processes in my discussion…] In terms of interpretation of the […]
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Our condolences Awesome Stories source John Nash and his wife Alicia were killed in a taxi accident on the New Jersey Turnpike Saturday afternoon. They were on their way back from Norway where he and Louis Nirenberg had just accepted the 2015 Abel Prize. Besides meeting the king of Norway, Nash had also expressed a […]
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Un paio di precisazioni e una piccola "scoperta" inerenti alla questione delle scale musicali che ha riempito due lunghi post qualche settimana fa.Prima precisazione: qualcuno mi ha fatto notare che una scala formata da una nota, ma anche da due o tre sole note, si fa fatica a considerarla una vera scala. Verissimo. Non a caso facevo notare, nella prima parte del post, che una scala costituita da un solo suono è qualcosa di molto strano, noioso e soprattutto inutile. Poco cambierebbe, in […]
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5, 25, 15 all multiples of 5 Also: 5 / 25 = 1 / 5 5 = 25 * 1 / 5 Also: (5 * 2) + 5 = 15 Also: 5 + 2 - 5 = √|(1 - 5)|
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Just finished season 9 of Supernatural. You’ve got to give that show credit for being one of the few that *demands* a deus ex machina ending. Anything less, after all this fighting over who’s going to take God’s place and Castiel’s moments of mysterious grace, would be a let down. I can’t wait to see […]

### May 24, 2015

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After the Singapore Maths Olympiad birthday problem that went viral, here is a Vietnamese primary school puzzle that made the frontline in The Guardian. The question is: Fill the empty slots with all integers from 1 to 9 for the equality to hold. In other words, find a,b,c,d,e,f,g,h,i such that a+13xb:c+d+12xe–f-11+gxh:i-10=66. With presumably the operation […]
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I was (exceptionally) working in (and for) my garden when my daughter shouted down from her window that John Nash had just died. I thus completed my tree trimming and went to check about this sad item of news. What I read made the news even sadder as he and his wife had died in […]
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I was sorry to hear this morning that John Nash and his wife Alicia died yesterday in a car crash (news story here). They were in a taxi on the New Jersey Turnpike, heading home from the airport after a … Continue reading →
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|5 - 2 - 4| = 1^5 Also: 5 = 2 + 4 - 1 = 5 Also: 5 | 2415
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The last two weeks were quite eventful… First I spent four days in China for the conference in honor of N. Katz’s 71st birthday. I was lucky with jetlag and was able to really enjoy this trip, despite its short length. The talks themselves were quite interesting, even if most of them were rather far […]
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The podcast of last Thursday’s reading is now available.  I’ll probably have more to say about it later, in a multi-part post under the heading “This is what charisma looks like.”
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The idea is that it is possible to copy a computer which executes a program, during execution, and to produce working clones. All this without any control (hence decentralized) and any synchronization. More than that, the multiple copies are done in the same time as the computers compute. I think is crazy, there’s nothing like … Continue reading Asynchronous and decentralized teleportation of Turing Machines →

### May 23, 2015

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As I have always been curious about my ancestry, I made a DNA test on 23andMe. While the company no longer provides statistics about potential medical conditions because of a lawsuit, it does return an ancestry analysis of sorts. In my case, my major ancestry composition is Anglo-Irish!  (with 39% of my DNA) and northern […]
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So, … you do and/or you do not remember the Mandelbrot Exclusion series, $$\varphi(z) = z-\frac{1}{2}+\frac{1}{8\,z}-\frac{1}{4\,{z}^{2}}+\frac{15}{128\,{z}^{3}}-\frac{47}{1024\,{z}^{5}}-\frac{1}{16\,{z}^{6}}+\frac{987}{32768\,{z}^{7}}\\ -\frac{3673}{262144\,{z}^{9}}+\frac{1}{32\,{z}^{10}}-\frac{61029}{4194304\,{z}^{11}} \cdots$$ where “$\cdots$” is the tricky bit. And, while reading the pari/gp docs in hope of discerning whether it’s The Tool to do some particular […]
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With help of sci.math crowd it was demonstrated an example that there exist a (finite) poset, which is separable (in the sense defined in this book), but does not imply (where denotes our order) for elements , of this poset. See this short article with a diagram of such a poset.
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I’m cutting loose the “internal language” strand of the Gordian knot of the “No Comment” comment section.  Here is David Corfield’s last contribution: Regarding this ‘internal language’ issue, Michael, did you read nLab’s page ‘internal logic’ (http://ncatlab.org/nlab/show/internal+logic). It’s far from perfect, but hopefully it conveys the gist of the idea that inference systems come in […]
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5 = 2 + 3 = 1 * 5 Also: 5 + 2 - 3 = |1 - 4| Also: (5 - 2) / 3 = 1^5 Also: 52 (mod 3) = 1^5
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More on Likelihood Ratio Test, the following problem is originally from Casella and Berger (2001), exercise 8.12.ProblemFor samples of size $n=1,4,16,64,100$ from a normal population with mean $\mu$ and known variance $\sigma^2$, plot the power function of the following LRTs (Likelihood Ratio Tests). Take $\alpha = .05$. $H_0:\mu\leq 0$ versus \$H_1:\mu>0$$H_0:\mu=0 versus H_1:\mu\neq 0SolutionThe LRT statistic is given by$$ \lambda(\mathbf{x})=\frac{\displaystyle\sup_{\mu\leq […]
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Even after the Snowden revelations, there remained one big mystery about what the NSA was doing and how.  The NSA’s classified 2013 budget request mentioned, as a priority item, “groundbreaking cryptanalytic capabilities to defeat adversarial cryptography and exploit internet traffic.”  There was a requested increase, of several hundred million dollars, for “cryptanalytic IT services” and “cryptanalysis and […]