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12:00 AM | Clustering of bigram frequencies

Rick Wicklin at the SAS blog writes on the frequency of bigrams in an English corpus. In English: how often does a pair of letters, such as “TH” or “QZ”, appear in English text? This is a follow-up to a previous post on the frequency of letters in an English corpus and builds on an […]

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EA Sports Simulates the 2014-15 NHL Season with NHL15: EA Sports:
The puck is almost ready to drop on the latest NHL season and the EA SPORTS NHL team is keeping its tradition of simulating the upcoming season.
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Check out how we think the season will unfold.
[source: That’s Hockey on TSN]

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11:00 PM | On This Day in Math - October 2

Euler calculated without effort, just as men breathe, as eagles sustain themselves in the air.~François AragoThe 275th day of the year; 275 is the number of partitions of 28 in which no part occurs only once. (Students might try finding the similar number of partitions for 10, or some smaller number to get a sense for how they grow)EVENTS479 B.C.: an Annular Solar Eclipse known as "Xerxes' eclipse" as noted by Herodotus occurred. David Dickinson @Astroguyz 1608, the Dutch Estates General […]

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While it took quite a while (!), with several visits by three of us to our respective antipodes, incl. my exciting trip to Melbourne and Monash University two years ago, our paper on ABC for state space models was arXived yesterday! Thanks to my coauthors, Gael Martin, Brendan McCabe, and Worapree Maneesoonthorn, I am very […]

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9:26 PM | Teach Fractions with a Loaf of Bread

Teach Fractions with a Loaf of Bread You own a bakery and the only thing you sell are loaves of bread. Not only that, but every loaf is identical. So when customers come into your shop they just say how many loaves they want.. {1,2,3,4,...} One day a customer comes in and explains that they love your bread but your loaves are too big. They ask if you have smaller loaves. You don't. But then you have a creative idea. You take a knife and cut a loaf into 2 equal sized pieces. You sell one piece
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I'm very excited that Steve Awodey is on his way here to deliver the first Calgary Mathematics & Philosophy Lecture tomorrow! He's speaking on "Univalence as a New Principle of Logic." If you're in Calgary, you should come. It'll be exciting. Thursday, 3:30 pm, in Engineering Building A aka ENA 101 on the UofC campus. Here's the abstract:
It is often convenient or useful in mathematics to treat isomorphic structures as the same. The Univalence Axiom for the foundations of mathematics
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Come join us this Saturday for a fun session of AMC 8 level problems and beyond. November 18, 2014 (Tuesday) is the AMC 8 test, so come study with Dr. Titu Andreescu, former director of the American Mathematics Competition for 5 years, former coach of the US IMO team, and of course, the director of […]

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I was asked to participate in a Geek-Out at the Williams College Museum of Art (Thursday, October 2nd from 6:30 – 7pm; refreshments will be served beforehand). This is part of the series of events related to the visits of Publication Studio. I will be taking the position that we should accelerate the book joining

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7:15 PM | Bayes-mania

Seeing an awful lot written on Bayesian ideas in the last year (and week!).Jason Rosenhouse uses the Monty Hall problem and a NY Times article as a launching point for a discussion of the subtlety of Bayes here:http://scienceblogs.com/evolutionblog/2014/10/01/a-poor-description-of-the-monty-hall-problem/Rosenhouse takes the Times' article to task, and ends simply with:"Applying statistics correctly is hard, even for people with professional training in the subject. But the problems are found
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7:14 PM | Penrose Tr 002

Penrose Tr 002
by Azamat Moonbaev (azaMoon)
http://im-possible.info/english/art/computer/azamat-moonbaev.html
Author - http://azamoon.deviantart.com/

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As I mentioned in a previous blog entry NCTM has joined the blogosphere with three entries: one corresponding to each journal. I want to highlight one post corresponding to the middle school journal (Mathematics Teaching in the Middle School) written by John Golden* where he extolls the virtues of the Twitter Math Camp that occurred last summer. Here is a piece of John's blogpost:
A lot of my personal professional development experiences now come from interacting online—mostly
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7:00 PM | Number Sense, Logic, Perseverance

Four of my five blocks this year are dedicated to teaching Fundamentals of Algebra 1. It's a double block course so I have two classes. They are filled with students with IEP's (one class is all IEP's and the other is mixed but the kids turned out to be about the same level despite a technical difference in the labels on the courses) and so I get to work with my awesome co-teacher from the special education department (this is our fourth year teaching together!). Since we have so much time we […]

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How is that possible? Tell me the answer? Some of my students haven’t picked up on my sneaky side yet. There are no free answers in my class, including this visual which greeted them today: Some students had seen this … Continue reading →

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6:49 PM | September Remainders

Awesome Internetting from the last month. New Blog Subscriptions Tracy Zager has been one of my favorite math voices on Twitter this school year and she’s now blogging. She’s also recently announced a fight with breast cancer and has requested that we “Please help me remember that I have thinking and ideas to share, and […]

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A cosmic coincidence hints that high-energy neutrinos and superfast cosmic rays both come from the supermassive black hole at the centre of the galaxy

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This month, we’re featuring programs that connect scientists, engineers or computing professionals to young people. These programs give students more than just a glimpse of the exciting work STEM professionals do every day. They provide critical role models and mentors for hundreds of thousands of children and teens who might otherwise never encounter a STEM professional.Check out our October Spotlight programs:Tags: STEMworks, jobs & workforce, K-12

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5:36 PM | Let's Get Real About Math Word Problems

OK, here is a math word problem for you: How many different ways can you arrange five keys on a circular ring?

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Some of the very massive stars that populated the early universe exploded completely, sowing the seeds of future stars, solar systems and galaxies

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5:17 PM | Visual tutorial for “the soup”

I started here a visual tutorial for chemlambda and it’s gui in the making. I call it a tutorial for the “soup” because it is about a soup of molecules. A living soup. Hope that in the recent future will become THE SOUP. The distributed soup. The decentralized living soup. Bookmark the page because content […]

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5:05 PM | A Solution to the 3x + 1 Problem?

This is a paid announcement that appeared in SIAM News. I believe I have solved this very difficult problem and am looking for an academic mathematician to check the solution and then, if he or she believes it is correct, to help me prepare the paper for publication. I will offer a generous consulting fee, [...]

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4:54 PM | Validity in Interpretation Chapter 4

We are back with the next set of notes on E.D. Hirsch, Jr.’s Validity in Interpretation. This chapter is on Understanding, Interpretation, and Criticism. I found it to be the least interesting as a whole. It mostly involved clarifying some … Continue reading →

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4:12 PM | Quick Links

This month’s Physics Today has a long article by Wojciech Zurek, Quantum Darwinism, classical reality, and the randomness of quantum jumps. I’m not sure if there’s anything new there, but it’s a very clear exposition of what seems to me … Continue reading →

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4:06 PM | Technical Update: The Switch to MathJax

AZC has switched from WP-LaTeX to MathJax. There was no real problem with WP-LaTeX, but MathJax offered some improvements: Improved rendering Local installation: MathJax can be installed on your own webserver, so that you’re no longer reliant on external services Easier typing of LaTeX: in WP-LaTeX, you have to type the word LaTeX after the […]

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4:04 PM | Time to collaborate: Math Workgroups

▪ Are you feeling isolated as a math teacher?▪ Would you like to collaborate with other teachers from your grade/course?▪ Are you looking for a network of teachers with whom you can share ideas?▪ Would you like to work with others to develop solutions to your current teaching challenges?If your answer is “YES!,” then plan to come to Kalamazoo RESA’s FREE monthly Math Workgroups. These collaborative and supportive groups are scheduled for grade bands (K-1, 2-3,
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3:55 PM | The Nobel Prize in Physics

The Nobel Prize in Physics ceremony is upon us once again! With the 2014 winner set to be revealed in Stockholm next week, we at Wolfram got to wondering how many of the past recipients have been Mathematica users. We found no less than 10 Nobel Prize–winning physicists who have held Mathematica licenses. That’s at least [...]

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3:52 PM | Math pays, unless you're a teacher

If you study math in college, you can probably look forward to a nice salary--unless, of course, you become a math teacher. It is hardly a surprise, then, that math teachers are so hard to come by.Tags: math, teachers

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3:40 PM | The Busy Beaver Problem

Can the impossible become practical? Complex analysts gallery source Tibor Radó was a mathematician who was the PhD advisor to a number of computer scientists. They include Shen Lin, Paul Young, and several others. All were his students while he was at Ohio State University. He is not the Rado of the Erdős-Ko-Rado theorem—that is […]

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3:31 PM | Privacy Research and Academic Freedom

by Gordon Hull To the long list of rich entities trying to generate academic research that supports their business model, add (maybe) Google. This piece in ProPublica discovered that the Stanford Center for Internet and Society had promised not to use any Google money to fund privacy research, after research...

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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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MathsBooks tweeted: @MathsBooks

RT @imaginaryex: JOB OFFER: We are looking for new editors for mathematical texts aimed at a general audience. Please forward and... http:/…

2014-10-02 07:04:31

wpgaurav tweeted: @wpgaurav

My answer to Is PM Modi serious about cleanliness or is it just another publicity stunt? http://t.co/dpCf6gvIeW

2014-10-02 06:58:04

rmathematicus tweeted: @rmathematicus

RT @appendixjournal: Scenes of piracy via @PublicDomainRev. http://t.co/EKCBJKkgLD http://t.co/21m69KRDmB

2014-10-02 06:46:31

rmathematicus tweeted: @rmathematicus

RT @john_overholt: The best thing ever just happened. A woman came running into my office and said "Are you a librarian? This is an emergen…

2014-10-02 06:44:19

rmathematicus tweeted: @rmathematicus

2014-10-02 06:43:19

rmathematicus tweeted: @rmathematicus

RT @bairdjulia: A pertinent new Banksy.
MIGRANTS NOT WELCOME, said the birds to the bird.
In Clacton-on-Sea, UK. http://t.co/I7x94qtSvY

2014-10-02 06:42:07

rmathematicus tweeted: @rmathematicus

RT @Gurdur: Dr.Dibbler's Death-Be-Gone. Efficacious Against Stabbing, Death By Fright, Swannicles On The Knees. #DWcon #DiscWorld http://t.…

2014-10-02 06:41:27

rmathematicus tweeted: @rmathematicus

RT @KateMorant Policing Medical Practice in the 17th Century, by @medhistorian. http://t.co/Ba3hlfbvUu …

2014-10-02 06:40:31

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