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The prime number theorem can be expressed as the assertion as , where is the von Mangoldt function. It is a basic result in analytic number theory, but requires a bit of effort to prove. One “elementary” proof of this theorem proceeds through the Selberg symmetry formula where the second von Mangoldt function is defined […]

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6:11 PM | Three films

Sometimes, in the course of researching a post, a link leads to a completely unexpected corner of the internet. In this case, a post on Mark Evanier lead here.The first is a cameraless film with hand-drawn sound from before the war, the second explains the technique and the third stands alone.Norman McLaren - Dots (1940)

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5:07 PM | 5 Maths Gems #11

I've got some brilliant gems for you this week. As usual Twitter has been on top form.
1. Quick Key
Last week I wrote about Plickers, which is an app you can use in the classoom for formative assessment - you need a device but your students don't. Today I'm suggesting another app that you can use for assessment - Quick Key. With this app you can set multiple choice homeworks or tests and mark

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A couple of months ago I made a video about Lorenz: Hitler’s “unbreakable” cipher machine.
That video was filmed by Ben Roper who is a proper filmmaker - that’s why it looked so much better than the videos I usually make!
Ben gave up his own time help us make that video, so if you like it then you should know that Ben has started a kickstarter to make a short film about love between two washing machines
If you want to support Ben and the film please donate. And maybe
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4:41 PM | 3 YEARS AGO: MONTHLY MEMORY LANE

MONTHLY MEMORY LANE: 3 years ago: October 2011 (I mark in red 3 posts that seem most apt for general background on key issues in this blog*) (10/3) Part 2 Prionvac: The Will to Understand Power (10/4) Part 3 Prionvac: How the Reformers Should Have done Their Job (10/5) Formaldehyde Hearing: How to Tell the Truth With Statistically Insignificant Results (10/7) Blogging […]

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The EU has demanded rapid payment of £1.7 billion from the UK because our economy has done better than predicted, and some of this is due to the prostitution market now being considered as part of our National Accounts and contributing an extra £5.3 billion to GDP at 2009 prices, which is 0.35% of GDP, half that of agriculture. But is this a reasonable estimate?

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3:21 PM | I have learned …

Students aren’t kidding when they ask, “When will we ever need to know this?” In How the Brain Learns Mathematics, David Sousa suggests that students need a reason to move information from short-term memory to long-term memory. What opportunity do we give our students to reflect on what they are learning and why during class? […]

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3:00 PM | The First 100 Prime Numbers

The First 100 Prime Numbers An integer n is a prime number if it has no divisors (except for 1 and itself). Another way to say this is that a set of n objects cannot be broken into pieces of equal size. Or you could say that the equation n=a*b can never be true, where a and b are integers. Beginners sometimes get confused by the term "divisor". When mathematicians say that one integer divides another integer they mean with no remainder. Prime numbers are fundamental numbers because.. Any
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The bee-bot programmable robot teaches logic, the basics of programming and how a computer "thinks."

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“Profit Doubles at G.M., as It Strives to Move Past Its Litany of Recalls”: General Motors’ quarterly earnings report on Thursday was noteworthy mostly for what it lacked: another big financial charge for safety recalls. After running up special charges of nearly $3 billion in the first half of the year for safety problems, G.M., […]

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Here at the Rotman conference on Climate Science, Paul Edwards is talking about "knowledge infrastructures" and how the production of knowledge has radically changed over the last 20 years from a much more individualistic enterprise, with pyramids of expertise, peer review, etc to a much more distributed model. He mentioned...

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[sorry if this isn't edited well, limited editing time due to lots of kid activities today] Saw this post on twitter earlier in the week: It made for a great follow up to a previous Family Math which also happened … Continue reading →

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1:32 PM | Modeling Systems

Sort of a rambling post. But trying to make some sense of my thinking… I always appreciate posts from @emergentmath. This particular post made me pause, I had just completed the MARS task, Boomerangs, he references. We are in the midst of our systems unit. I used Mary & Alex ‘ s suggestions with beginning […]

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The week at Retraction Watch began with the retraction of a paper touted by Dr. Oz. Here’s what was happening elsewhere: “How to Make More Published Research True:” John Ioannidis strikes again. Did you know that Shakespeare wrote about peer review? A leading vision researcher has decided to finally do a post-doc — at the […]

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1:27 PM | DummyTTP

DummyTTP is a protocol which can be used to replace HTTP for certain purposes. Don’t worry: no changes to client software are necessary. This is not a difficult proposal requiring committee agreements or consortium meetings. This protocol is subversive, it runs underneath the surface on server-side, invisible to the very browser programmers themselves. Overview In [...]

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See this recent post for background. Here’s the question: It is sometimes said that the p-value is uniformly distributed if the null hypothesis is true. Give two different reasons why this statement is not in general true. The problem is with real examples, not just toy examples, so your reasons should not involve degenerate situations such as […]
The post Solution to the problem on the distribution of p-values appeared first on Statistical Modeling, Causal Inference, and Social
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Panorama from Point Sublime [Grand Canyon] – Printed by Julius Bien [1882] If you want to know about Protoliths, Abyssoliths, Xenoliths and Tectonic Knots, of index fossils, totemic assemblages of ophiolitic Serpentine, of erratic stones and aesthonspheric calligraphy, geochronology, abyssal plains and gravity maps, you might do well to journey with John Mcphee over the […]

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Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 21, Problem 21.9. The Einstein equation is Up to now, we’ve usually taken , since we know from the Newtonian limit that must be very small. If , the Newtonian limit becomes so acts as a negative mass density, that is, […]

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12:30 PM | 10/25/14

10 / 2 = 5 * 1^4
Also:
10 - 2 - 5 = |1 - 4|
Also:
10 / (2 * 5) = 1^4
Also:
102 (mod 5) = 1 * √4

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12:27 PM | On Two Against One - student

Recall that in the Baron's latest game, for a cost of one coin, Sir R----- could roll two dice and have from the Baron coins equal in number to the best of them. In return, the Baron would have from Sir R----- coins equal to the roll of a solitary die.

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12:23 PM | Exploring Rates – Part Two

One of the primary goals this year is to find opportunities to use rates in a more practical setting. This past week my classes started to explore rates in more detail. Students studied visual patterns and rules last week and this has led up to using/converting rates with formulas. While planning I dug out a […]

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11:43 AM | Aunt Pythia’s advice

You guys know how much Aunt Pythia loves you, right (answer: a ton)? OK, good. Because that means I can be honest with you. The truth is, I’ve been getting some very weird questions recently, and I’ve had to throw out a bunch of them, sifting through the weeds to find some tulips. It’s not […]

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11:17 AM | Making a ghost costume

I’m going to make a costume pattern to sell. People can buy my plan and make awesome, long, full, scary, ghost costumes. This scheme will be so simple. Perhaps I’ll get rich! In this activity young students can reason about…Read more →

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11:01 AM | FOM discussion

There is a very interesting discussion about formalized mathematics going on the Foundations of Mathematics mailing list. The most interesting part of it (at least to me) is the thread about relative merits of Homotopy Type Theory (HoTT) and set theory (ZFC) as foundations for formalized mathematics. I should probably write what is Homotopy Type […]

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Ayer viernes se publicaron las terceras clasificaciones parciales de los Premios Bitácoras 2014, en los que Gaussianos participa en la categoría Mejor Blog de Ciencia. En dicha categoría Gaussianos sube de la quinta a la cuarta posición. Los cinco primeros puestos son los siguientes: Ciencia de sofá Cuentos Cuánticos Dimetilsulfuro Gaussianos La pizarra de Yuri […]Entra en Gaussianos si quieres hacer algún comentario sobre este artículo, consultar entradas anteriores o
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9:35 AM | Pseudofields, quasifields, near-domains

Here is a piece of evidence which those who think that mathematics is invented rather than discovered will like. This concerns definitions. I wrote last year about the definitions of a group, a matroid, the real numbers, and primitivity. In … Continue reading →

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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

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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

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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

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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
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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

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One of the exciting things about mathematical oncology is that thinking about cancer often forces me to leave my comfortable arm-chair and look at some actually data. No matter how much I advocate for the merits of heuristic modeling, when it comes to cancer, data-agnostic models take second stage to data-rich modeling. This close relationship […]

Gallaher, J. & Anderson, A.R. (2013). Evolution of intratumoral phenotypic heterogeneity: the role of trait inheritance., Interface Focus, 3 (4) 20130016. arXiv: 1305.0524v1

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ricardosaenz tweeted: @ricardosaenz

Petit le pegó #WorldSeries

2014-10-26 02:00:28

ricardosaenz tweeted: @ricardosaenz

Un Petit strikeout #WorldSeries

2014-10-26 01:52:07

ricardosaenz tweeted: @ricardosaenz

RT @mighty_flynn: Photo: Mo’ne Davis October 25, 2014 AT&T Park San Francisco, CA Photo via Getty Images http://t.co/PEtZ20IsdE

2014-10-26 01:40:50

profkeithdevlin tweeted: @profkeithdevlin

RT @SheckyR: RT @profkeithdevlin: Common Core math is not fuzzy: Column http://t.co/LVweoRlHEY via @USATODAY

2014-10-26 01:39:56

profkeithdevlin tweeted: @profkeithdevlin

These hysterical Ebola quarantine regulations reminiscent of US internment of Japanese Americans in WWII. http://t.co/qEhwNrRWP9

2014-10-26 01:38:54

ricardosaenz tweeted: @ricardosaenz

Eso de contar hasta 3 no es lo de Vargas #WorldSeries

2014-10-26 01:27:44

ricardosaenz tweeted: @ricardosaenz

¡Ah, Machi! Otra vez las bases llenas #WorldSeries

2014-10-26 01:23:47

ricardosaenz tweeted: @ricardosaenz

¡Juar, juar!
"@mighty_flynn: Vogelsong Vogelsang Vogelsung"

2014-10-26 01:18:01

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