X

+

I blame Collatz. Stupid brain-worms… not that thinking about ordinal notations has helped fight the Collatz problem; on the contrary!
Anyways.
So, $\mathbb{HF}$ makes a nifty ordinal notation, good for the naturals, by saying the greater of two hereditarily-finite sets is the one that contains ($\ni$) the maximum of their symmetric difference (Exercise: check that this defines an ordering; start by comparing anything with $\{\}$) When I alternately tell you that this is just counting
[…]

+

11:14 PM | full Bayesian significance test

Among the many comments (thanks!) I received when posting our Testing via mixture estimation paper came the suggestion to relate this approach to the notion of full Bayesian significance test (FBST) developed by (Julio, not Hal) Stern and Pereira, from São Paulo, Brazil. I thus had a look at this alternative and read the Bayesian […]

+

Popular posts and community favorites, published in 2014.

+

4:13 PM | How Specs Grading Is Influencing Me

I hope I have not come off too negatively about specs grading. Reflecting on what I have written, it could seem like I am trying to discourage people from using it. I hope that is not the case. I am engaging in this conversation so much because I am very hopeful about it. So when […]

+

3:36 PM | Defend the Integrity of Physics

This week’s Nature features a call to arms from George Ellis and Joe Silk, entitled Scientific method: Defend the integrity of physics. I’m very glad to see well-known physicists highlighting the serious problem for the credibility of science raised by … Continue reading →

+

Today I’d like to give a fairly simple account of why Uncertainty Principles exist in quantum mechanics. I thought I already did this post, but I can’t find it now. I often see in movies and sci-fi books (not to … Continue reading →

+

2:00 PM | Field Notes: BlogHer PRO 2014

We sponsored BlogHer PRO '14, a conference focused on the business of blogging. We connected with WordPress users and promoted Automattic's various products, from Jetpack and VaultPress to Akismet and Polldaddy.

+

1:30 PM | 12/17/14

|12 - 17| = 1 + 4
Also:
12 - 1 - 7 = 1 * 4
Also:
1 + 2 = 17 - 14
Also:
(1 + 2) * 1 = (7 * 1) - 4

+

12:59 PM | Foundations of Pure Mathematics

This year all of the Echo360 recordings of my module G11FPM Foundations of Pure Mathematics worked successfully, with the exception of the very first (introductory) lecture. That doesn’t mean that I didn’t still make some slips. I don’t understand how I … Continue reading →

+

10:10 AM | A mathematician explains the Ozone Layer

Sydney Chapman was a mathematician most remembered these days for the Chapman-Kolmogorov equations in statistics, but he was also instrumental in explaining the ozone layer. THE CHEMICAL EQUILIBRIUM IN THE DENSEST PART OF THE OZONE LAYER II. In considering the … Continue reading →

+

5:25 AM | Hyperbolic Surfaces

Ok, with the hyperbolic plane and its metric and geodesics out of the way, we can start getting into some surface theory. Definition: A hyperbolic surface of genus g is a topological surface of genus g along with a metric … Continue reading →

+

4:28 AM | Long gaps between primes

Kevin Ford, Ben Green, Sergei Konyagin, James Maynard, and I have just uploaded to the arXiv our paper “Long gaps between primes“. This is a followup work to our two previous papers (discussed in this previous post), in which we had simultaneously shown that the maximal gap between primes up to exhibited a lower bound […]

+

4:06 AM | The Turing movie

Last week I finally saw The Imitation Game, the movie with Benedict Cumberbatch as Alan Turing. OK, so for those who haven’t yet seen it: should you? Here’s my one paragraph summary: imagine that you told the story of Alan Turing—one greatest triumphs and tragedies of human history, needing no embellishment whatsoever—to someone who only sort-of understood it, and […]

+

Michael Stumpf sent me Topological sensitivity analysis for systems biology, written by Ann Babtie and Paul Kirk, en avant-première before it came out in PNAS and I read it during the trip to NIPS in Montréal. (The paper is published in open access, so everyone can read it now!) The topic is quite central to a […]

+

10:35 PM | Prover’s Block

What to do when afraid to see if what you want is true Cropped from Canadian Bergler Society source Edmund Bergler coined the term in 1947, the great writers Francis Fitzgerald—F. Scott to most—and Joseph Conrad among many others suffered from it, as did the great cartoonist Charles Schulz. The problem is writer’s block. Today […]

+

8:29 PM | Specifications Grading, Revisited

The great specifications grading craze of 2014 continues, with Evelyn Lamb joining in and Robert Talbert going so far as to actually design a course using specs grading. I have now actually read the book, so all of my misunderstandings have been updated to ‘informed misunderstandings.’ The book contained a lot of useful references to […]

+

[You are currently viewing a post that is part of a series : the story ; Hermite’s 1892 jubilee ; Picard’s youth ; Other items.] Together with the jubilee papers, there were three other documents (pictures) : 1) a letter in german from Hermann Schwarz, from the 2nd of june 1893, concerning the great gold […]

+

[You are currently viewing a post that is part of a series : the story ; Hermite’s 1892 jubilee ; Picard’s youth ; Other items.] In a nutshell, Émile Picard has been one of the main french mathematicians of the 1880-1920 era. He’s been precocious (earning his doctorate in 1877 aged 20), prolific (from the […]

+

[You are currently viewing a post that is part of a series : the story ; Hermite’s 1892 jubilee ; Picard’s youth ; Other items.] It is an ancient tradition in Germany that upon reaching 50 years after obtaining their doctorate, old scholars would have a party thrown up in their honour called a jubilee […]

+

[You are currently viewing a post that is part of a series : the story ; Hermite’s 1892 jubilee ; Picard’s youth ; Other items.] A while back, in late july 2014, as I was casually browsing through the “Lettres, vieux papiers” section of ebay.fr (as I do now and then) I decided, with no […]

+

1:18 PM | Montréal snapshot

Filed under: pictures, Travel Tagged: Canada, Montréal, NIPS, Québec, snow, street view

+

10:38 AM | Dark thoughts

Last night, a concert in the Spitalfields Music Winter Festival, entitled “This year’s midnight”, given by the viol group Fretwork and the mezzo-soprano Clare Wilkinson, with readings by the actor Simon Callow. The title is taken from a poem “A … Continue reading →

+

10:10 AM | Lubbock on the Moon’s motion

Sir John Lubbock was a mathematician and astronomer and an important early British adopter of Laplace’s Bayesian Statistics. Philosophers and even some physicists (who really should know better) believe the motion of the moon was essentially solved by Newton in … Continue reading →

+

12:04 AM | One Central Hub for All Your Content

Manage all your sites more efficiently with our latest round of updates to the WordPress.com dashboard.

+

11:14 PM | an extension of nested sampling

I was reading [in the Paris métro] Hastings-Metropolis algorithm on Markov chains for small-probability estimation, arXived a few weeks ago by François Bachoc, Lionel Lenôtre, and Achref Bachouch, when I came upon their first algorithm that reminded me much of nested sampling: the following was proposed by Guyader et al. in 2011, To approximate a […]

+

9:59 PM | Stress: Competition and Ranking

One issue I keep seeing in comments here and elsewhere on this issue is that academia is very competitive, with everyone worried about their rank. In my last post, I admitted that it would be hard to completely deny that there is competition, particularly when people are younger, which tends to come out when jobs are at stake. But, for the most part, I think the role of competition is completely exaggerated, strangely so. Academia -- at least, certainly, my branch of it -- […]

+

In Notes 2, the Riemann zeta function (and more generally, the Dirichlet -functions ) were extended meromorphically into the region in and to the right of the critical strip. This is a sufficient amount of meromorphic continuation for many applications in analytic number theory, such as establishing the prime number theorem and its variants. The […]

Sidebar

Filters

+

Stupiti che 1 non sia primo? Scopriamo insieme perché è "solo" l'unità!Abbiamo già visto come, partendo dai numeri primi, si possa sviluppare un discorso più o meno approfondito sulle fondamenta matematiche. Altrettanto fondamentale, però, si rivela provare a rispondere alla domanda su quale sia il numero primo più piccolo. E', infatti, abbastanza noto come il numero 1 sia stato ora inserito ora escluso dalla lista dei numeri primi, ottenendo in alcuni casi lo status di più piccolo tra […]

Agargun A.G. & Fletcher C.R. (1997). The Fundamental Theorem of Arithmetic Dissected, The Mathematical Gazette, 81 (490) 53-57. DOI: http://dx.doi.org/10.2307/3618768

Crandall R. & Pomerance C.B. (2005). Primes!, Prime Numbers, Prime numbers: a computational perspective 1-82. DOI: http://dx.doi.org/10.1007/0-387-28979-8_1

Caldwell C.K. & Xiong Y. (2012). What is the smallest prime?, Journal of Integer Sequences, 15 arXiv: 1209.2007v2

Citation

+

Winifred Edgerton Merrill fu la prima americana ad ottenere un dottorato in matematica presso la Columbia University nel 1886. Nella sua tesi sviluppò una rappresentazione geometrica degli infinitesimi in diversi sistemi di coordinate, utilizzando lo jacobiano per per derivare le trasformazioni tra gli integrali nei diversi sistemi.Tra matematica e astronomiaNata a Ripon, nel Wisconsin, il 24 settembre del 1862 da Emmet e Clara Edgerton, si trasferisce con la famiglia a New York intorno al […]

Kelly S.E. & Rozner S.A. (2012). Winifred Edgerton Merrill: "She Opened the Door", Notices of the American Mathematical Society, 59 (04) 504-512. DOI: http://dx.doi.org/10.1090/noti818

Citation

+

Winifred Edgerton Merrill fu la prima americana ad ottenere un dottorato in matematica presso la Columbia University nel 1886. Nella sua tesi sviluppò una rappresentazione geometrica degli infinitesimi in diversi sistemi di coordinate, utilizzando lo jacobiano per per derivare le trasformazioni tra gli integrali nei diversi sistemi.Tra matematica e astronomiaNata a Ripon, nel Wisconsin, il 24 settembre del 1862 da Emmet e Clara Edgerton, si trasferisce con la famiglia a New York intorno al […]

Kelly S.E. & Rozner S.A. (2012). Winifred Edgerton Merrill: "She Opened the Door", Notices of the American Mathematical Society, 59 (04) 504-512. DOI: http://dx.doi.org/10.1090/noti818

Citation

+

Direi che oggi pomeriggio è stato un bel respirare, al Palazzo Brera. Cristina Lazzeroni dell'Università di Birmingham è venuta alle 18 (come avevo scritto nel post precedente) per raccontare del bosone di Higgs, del modello standard e di materia e antimateria. E' una sperimentale presso l'esperimento LHCb al CERN, l'esperimento dedicato proprio alla ricerca su uno dei grandi misteri dell'universo: perché in esso c'è un eccesso di materia (e d'altra parte se non fosse così, non ci sarebbe […]

Aaij R., B. Adeva, M. Adinolfi, C. Adrover, A. Affolder, Z. Ajaltouni, J. Albrecht, F. Alessio, M. Alexander & S. Ali & (2013). First Observation of CP Violation in the Decays of B_{s}^{0} Mesons, Physical Review Letters, 110 (22) DOI: http://dx.doi.org/10.1103/physrevlett.110.221601

Citation

+

Per i I cieli di Brera, il 24 settembre (domani... scusate per il ritardo nell'annuncio...) alle 18 presso la Sala delle Adunanze dell'Istituto Lombardo nel Palazzo Brera sito in via Brera 28 (Milano), si terrà la conferenza La fisica delle particelle e il Large Hadron Collider: recenti sviluppi e questioni aperte: Cristina Lazzeroni ci introdurrà alla fisica delle particelle e agli studi fatti al Large Hadron Collider del Cern di Ginevra mettendo l’accento su recenti sviluppi come la
[…]

Aad G., J. Abdallah, S. Abdel Khalek, O. Abdinov, R. Aben, B. Abi, S. H. Abidi, M. Abolins, O. S. AbouZeid & H. Abramowicz & (2014). Measurement of the Higgs boson mass from the $H\to \gamma \gamma $ and $H\to Z{Z}^{*}\to 4\ell $ channels in $pp$ collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector, Physical Review D, 90 (5) DOI: http://dx.doi.org/10.1103/physrevd.90.052004

Citation

rmathematicus tweeted: @rmathematicus

RT @mersenne_tweets: videos of the Toxic Atmospheres II seminar series: Dear all,I am pleased to announce the posting of the two le... http…

2014-12-18 13:16:37

rmathematicus tweeted: @rmathematicus

“@JohnWFarrell: Islam & Science » Islam and Science: concordance or Conflict? By Prof. Abdus Salam http://t.co/oaYIyFzH9D”

2014-12-18 13:14:46

MrHonner tweeted: @MrHonner

RT @MatthewOldridge: Math is...real, useful, true, valuable...human. Paraphrase of Stephen Strogatz from @MrHonner's interview. http://t.co…

2014-12-18 13:13:38

MrHonner tweeted: @MrHonner

RT @jamessi_: Cool!! escalera de elipses "RT @MrHonner A top Math Photo of 2014 http://t.co/MsRGpvbNqL #math #mathchat #mathphoto" http://t…

2014-12-18 13:13:25

fortnow tweeted: @fortnow

Despite the NIPS experiment don't expect this machine learning conference to start using ML to choose papers. http://t.co/zsXdd5lune

2014-12-18 12:49:24

rmathematicus tweeted: @rmathematicus

RT @LinneanSociety: Lovely blog on Carl Linnaeus the Younger in London, including an interesting bar bill! http://t.co/cjXlYJQofd http://t.…

2014-12-18 11:54:18

rmathematicus tweeted: @rmathematicus

RT @EHChalus: Lecturer in Modern Russian/Soviet History at University of Reading http://t.co/CVbXyGpyWm #twitterstorians

2014-12-18 11:53:23

rmathematicus tweeted: @rmathematicus

RT @CommissioningSR: See details of 1st book in "Philosophy of Mathematics and Physics" by Tiziana Vistarini http://t.co/u07EYEqAYx spaceti…

2014-12-18 11:50:52

X