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# Posts

### October 25, 2014

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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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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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This is pretty much it... [...]
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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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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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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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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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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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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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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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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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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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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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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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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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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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MathML on Wikipedia