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8:43 PM | Some salary comparisons

Since the AMS website has put on its frontpage a study of faculty salaries at US PhD granting math departments, here are a few simplistic comparisons. US For the group of “Large Public Universities”, the New-Hired Assistant Professors get at least $70,000, with a median of $84,700. In that same group, the median for Full […]

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I am starting to think about planning for Calculus I for next year, and there is an idea I would like to try: I want to stop labelling problems according to the corresponding standard, and put the burden on the student to determine which standards they met. I have tried this before (as have other […]

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6:21 PM | Topology blogs

Along with not writing many posts over the last year, I also haven’t been reading many math blogs. But I just stumbled across Alex Sisto’s blog, and wanted to share the link. He has a number of really nice posts related to curve complexes, mapping class groups, and even a trefoil knot complement cake. If you haven’t […]

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2:57 PM | Journées MAS2014, Toulouse, Aug. 27-29

For those interested in visiting Toulouse at the end of the summer for a French speaking conference in Probability and Statistics, the Modélisation-Aléatoire-Statistique branch of SMAI (the French version of SIAM) is holding its yearly conference. The main theme this year is “High dimension phenomena”, but a large panel of the French research in Probability […]

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12:53 PM | Tools for mathematicians

Over the weekend, in connection with a research project on semigroups (which I will write about shortly), I needed to know the distribution of the size of the image of a random mapping from the set {1,…,n} to itself. I … Continue reading →

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12:30 PM | 4/16/14

4 = √16 = 1 * 4
Also:
√4 * 1 = 6 / (|1 - 4|)
Also:
√4 * 1 = (6 * 1) - 4
Also:
√4 - 1 = 6 - 1 - 4
Also:
41614 is a palindrome

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Remind yourself about basics of the Legendre-Fenchel transform.

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5:00 AM | La trasformata di Fourier senza parole

Grazie al wikipediano LucasVB, che ha fatto un sacco di altre immagini.

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10:23 PM | Supersymmetry and the Crisis in Physics

The May issue of Scientific American has a very good cover story by Joe Lykken and Maria Spiropulu, entitled Supersymmetry and the Crisis in Physics (the article is now behind their subscriber paywall, but for those with access to Nature, … Continue reading →

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10:21 PM | Little changes in my math book

The section “Filters on a Set” of the preprint of my math book is rewritten noting the fact that .

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10:14 PM | MCqMC 2014 [closup]

As mentioned earlier, this was my very first MCqMC conference and I really enjoyed it, even though (or because) there were many topics that did not fall within my areas of interest. (By comparison, WSC is a serie of conferences too remote from those areas for my taste, as I realised in Berlin where we […]

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9:17 PM | more tales out of school

my recent example of bad freshman calculus was, heaven knows, something egregious. but *this*! this is something else again. on another day, i might have just bitten down and let it go with full credit… the very kind of thing i have to do dozens of times a night when i sit down to earn […]

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6:33 PM | Eilenberg-MacLane Spaces in HoTT

For those of you who have been waiting with baited breath to find out what happened to your favorite characters after the end of Chapter 8 of the HoTT book, there is now a new installment: Eilenberg-MacLane Spaces in Homotopy Type Theory … Continue reading →

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4:17 PM | Markov Chain Monte Carlo Example

Let’s look at a problem called parameter estimation. As usual, we have a bunch of coin flips. What we’ve learned to do with Bayesian statistics is calculate some posterior distribution that tells me how likely the bias is. I ask … Continue reading →

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4:10 PM | bad freshman calculus

by quotiant rule EXHIBIT A but this is *senior level* stuff… “analysis” *not* freshman-calc. and even *there*, one seldom encounters such an *explicit* version of the natural-log-equals-reciprocal fallacy . (the “quotiEnt rule”… or rather, *the* quotient rule… our subject has fallen into the “leaving out articles makes it harder to understand and so is in […]

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10:14 PM | adaptive subsampling for MCMC

“At equilibrium, we thus should not expect gains of several orders of magnitude.” As was signaled to me several times during the MCqMC conference in Leuven, Rémi Bardenet, Arnaud Doucet and Chris Holmes (all from Oxford) just wrote a short paper for the proceedings of ICML on a way to speed up Metropolis-Hastings by reducing […]

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10:14 PM | Leuven snapshot [#7]

Filed under: pictures, Running, Travel, University life Tagged: 17th Century house, Belgium, Grand Béguinage, Leuven, religious order

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This is the tenth thread for the Polymath8b project to obtain new bounds for the quantity ; the previous thread may be found here. Numerical progress on these bounds have slowed in recent months, although we have very recently lowered the unconditional bound on from 252 to 246 (see the wiki page for more detailed results). While there may […]

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Venghino, lettori, venghino! In occasione del Mese della Consapevolezza Matematica, gli e-book di Altramatematica sono in vendita da oggi, e forse non per molto, all'incredibile prezzo di 0,99 euro!Vi conviene affrettarvi, perché come dice Peppe Liberti (uno degli autori), "ci son poche copie".E poi, sempre il buon Peppe ha scoperto che la collana ha molti eccellenti estimatori.Guardate un po' qua.

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Certo, il Carnevale della Matematica di marzo è speciale perché è un po' il padre di tutti i carnevali dell'anno (ricordate che tutto nasce da π, cioè da 3.14, cioè dal 14 marzo).Però anche quello di aprile non scherza, almeno quest'anno: il suo organizzatore, Marco Fulvio Barozzi alias Popinga, ha infatti pensato bene di collegarlo al Mese della Consapevolezza Matematica, ovvero il Mathematics Awareness Month (MAM), di cui parlavo nel precedente post (che, per inciso, è l'unico mio
[…]

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3:48 PM | Tsar Nikita and His Scientists

Once upon a time, a Russian tsar named Nikita had forty daughters: Every one from top to toe Was a captivating creature, … Continue reading →

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Last time we saw the Diffie-Hellman key exchange protocol, and discussed the discrete logarithm problem and the related Diffie-Hellman problem, which form the foundation for the security of most protocols that use elliptic curves. Let’s continue our journey to investigate some more protocols. Just as a reminder, the Python implementations of these protocols are not at all meant for […]

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Here’s a cool picture I made with Sage and R of class numbers of where is squarefree. It consists of the first five thousand such (click image to enlarge): The even class numbers are shown in red +-signs and the odd class numbers are shown as blue disks. If you look carefully at the bottom […]

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12:32 PM | My week at BCME8

This week I’m contributing to the 8th British Congress of Mathematics Education (BCME). If you’re going, I hope to see you there! (I’ll be there Monday after dinner and Wednesday all day; otherwise it’s a normal teaching week for us.) I’m involved with three sessions – a fun Maths Jam, a ‘how I used history... Read more »

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12:30 PM | 4/14/14

4 = 1 * 4 = 1 * 4
Also:
4 - |1 - 4| = 1^4
Also:
4 - 1 - √4 = 1^4
Also:
41414 is a palindrome

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10:53 AM | Valparaiso under fire

Filed under: pictures, Travel Tagged: Chile, forest fire, ISBA, ISBA 2004, Valparaiso

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10:00 AM | L OME en Requena – Problema 1

Los pasados días 28 y 29 de marzo de 2014 se celebró en Requena la L Olimpiada Matemática Española. A partir de hoy os iré dejando propuestos, a razón de uno por semana, los seis problemas que se plantearon en dicha competición. Como siempre, os pido que si conocéis la solución de los mismos por […]Entra en Gaussianos si quieres hacer algún comentario sobre este artículo, consultar entradas anteriores o enviarnos un mensaje.Construye tú también el
[…]

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6:51 AM | A small calculation

Yesterday, a competitor in the London marathon collapsed and died. The event warranted a headline on the BBC news. The article pointed out that someone collapsed and died two years ago. Now, of course, running a marathon puts a huge … Continue reading →

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Non voglio fare concorrenza alla splendida spiegazione di Amedeo o a quella tecnica di Corrado, ma mia sorella, leggendo il post di pancia scritto nella sera dell'annuncio di BICEP2, ha candidamente confessato di non aver capito cosa era accaduto quel giorno. E allora proviamoci, a raccontarlo. (da The Cartoon History of the Universe #1 di Larry Gonick)C'era una volta un'idea di universo, che era la Terra al centro, quindi il Sole, la Luna e gli altri pianeti e sullo sfondo le stelle fisse,
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Hubble E. (1929). A relation between distance and radial velocity among extra-galactic nebulae, Proceedings of the National Academy of Sciences, 15 (3) 168-173. DOI: 10.1073/pnas.15.3.168

Gamow G. (1948). The Evolution of the Universe, Nature, 162 (4122) 680-682. DOI: 10.1038/162680a0

Alpher R.A. & Herman R. (1948). Evolution of the Universe, Nature, 162 (4124) 774-775. DOI: 10.1038/162774b0

Alpher R., Bethe H. & Gamow G. (1948). The Origin of Chemical Elements, Physical Review, 73 (7) 803-804. DOI: 10.1103/PhysRev.73.803

Peebles P.J.E., Schramm D.N., Turner E.L. & Kron R.G. (1994). The Evolution of the Universe, Scientific American, 271 (4) 52-57. DOI: 10.1038/scientificamerican1094-52

McLeish T.C.B., Bower R.G., Tanner B.K., Smithson H.E., Panti C., Lewis N. & Gasper G.E.M. (2014). History: A medieval multiverse, Nature, 507 (7491) 161-163. DOI: 10.1038/507161a

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Much of my undergrad was spent studying physics, and although I still think that a physics background is great for a theorists in any field, there are some downsides. For example, I used to make jokes like: “soft isn’t the opposite of hard sciences, easy is.” Thankfully, over the years I have started to slowly […]

Lazer, D., Kennedy, R., King, G. & Vespignani, A. (2014). Big data. The parable of Google Flu: traps in big data analysis., Science, 343 (6176) 1203-1205. PMID: 24626916

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Un triangolo aureo è un triangolo isoscele in cui il rapporto tra uno dei lati uguali con la base è pari alla sezione aurea $\varphi$. Utilizzando un triangolo aureo di lato 1, è possibile dimostrare che \[1 + \frac{1}{\varphi^2} + \frac{1}{\varphi^4} + \cdots = \varphi\] \[\frac{1}{\varphi} + \frac{1}{\varphi^3} + \cdots = 1\] \[\frac{1}{\varphi} + \frac{1}{\varphi^2} + \frac{1}{\varphi^3} + \cdots = \varphi\] Il triangolo aureo qui sopra è lo screenshot della applet realizzata da Irina
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Edwards S. (2014). Proof Without Words: An Infinite Series Using Golden Triangles, The College Mathematics Journal, 45 (2) 120-120. DOI: 10.4169/college.math.j.45.2.120

Citation

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Un triangolo aureo è un triangolo isoscele in cui il rapporto tra uno dei lati uguali con la base è pari alla sezione aurea $\varphi$. Utilizzando un triangolo aureo di lato 1, è possibile dimostrare che \[1 + \frac{1}{\varphi^2} + \frac{1}{\varphi^4} + \cdots = \varphi\] \[\frac{1}{\varphi} + \frac{1}{\varphi^3} + \cdots = \1] \[\frac{1}{\varphi} + \frac{1}{\varphi^2} + \frac{1}{\varphi^3} + \cdots = \varphi\] Il triangolo aureo qui sopra è lo screenshot della applet realizzata da Irina […]

Edwards S. (2014). Proof Without Words: An Infinite Series Using Golden Triangles, The College Mathematics Journal, 45 (2) 120-120. DOI: 10.4169/college.math.j.45.2.120

Citation

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In 1936, Alonzo Church, Alan Turing, and Emil Post each published independent papers on the Entscheidungsproblem and introducing the lambda calculus, Turing machines, and Post-Turing machines as mathematical models of computation. A myriad of other models followed, many of them taking seemingly unrelated approaches to the computable: algebraic, combinatorial, linguistic, logical, mechanistic, etc. Of course, […]

Dershowitz, N. & Gurevich, Y. (2008). A natural axiomatization of computability and proof of Church's Thesis, Bulletin of Symbolic Logic, 14 (3) 299-350. DOI: 10.2178/bsl/1231081370

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michiexile tweeted: @michiexile

RT @AcademicsSay: We appreciate the pedantic and dismissive tone of Reviewer 2, and especially the opportunity to quote their grammatical e…

2014-04-17 03:01:31

michiexile tweeted: @michiexile

RT @xek: Talking about the AIM login wars of '01 on a mailing list at work. I think I've gone from a cane to a rocking chair. #ancientonth…

2014-04-17 03:01:20

profkeithdevlin tweeted: @profkeithdevlin

Best way to learn basic problem solving math for 21st Century. Short version http://t.co/DNrJOIylWg Longer version https://t.co/GOyd936j53

2014-04-17 02:59:18

evelynjlamb tweeted: @evelynjlamb

p.s. Yes, I'm very excited about taking the Staten Island ferry. I didn't get around to it the summer I spent in NYC, much to my dismay.

2014-04-17 02:53:46

evelynjlamb tweeted: @evelynjlamb

So if you're in NY on Thursday May 8, maybe you want to take the ferry over to SI to my talk! It's from 2:30-3:30

2014-04-17 02:52:42

evelynjlamb tweeted: @evelynjlamb

While I'm in NY, I'll be giving a general audience talk at CUNY Staten Island on visualizing the hyperbolic plane! http://t.co/bREKwKhWez

2014-04-17 02:51:31

evelynjlamb tweeted: @evelynjlamb

I'll be in NYC the week before that conference. Too bad I'll be leaving a few days before it!

2014-04-17 02:47:03

evelynjlamb tweeted: @evelynjlamb

Though I know there are women who would have given great talks (particularly bc I just went to a great talk abt Dürer by a woman)

2014-04-17 02:46:25

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