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12:59 AM | Compartmentalizing your life

These last five weeks I have been traveling every week while trying to juggle my teaching, research, and family responsibilities. Thankfully I have successfully fulfilled all my teaching and service responsibilities! Even if this meant almost no sleep, I was … Continue reading →

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12:00 AM | On This Day in Math - March 28

*George W. Hart, Sculpture `The introduction of the cipher 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps ...'.in a letter in 1982 to Ronald Brown The 87th day of the year; the sum of the squares of the first four primes is 87. \(87 = 2^2 + 3^2 + 5^2 + 7^2 \) 87 = 3 * 29, \(87^2 + 3^2 + 29^2 and 87^2 - 3^2 - 29^2 \)are both primesAmong Australian cricket players, it […]

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11:15 PM | a most curious case of misaddressed mail

Today, I got two FedEx envelopes in the mail, both apparently from the same origin, namely UF Statistics department reimbursing my travel expenses. However, once both envelopes opened, I discovered that, while one was indeed containing my reimbursement cheque, the other one contained several huge cheques addressed to… a famous Nova Scotia fiddler, Natalie MacMaster, […]

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10:48 PM | Alternative Issues

Today my year 13s started work on the masses of past papers I gave them as an easter present (the lucky people that they are). One of those papers was the Edexcel C3 paper from the January sitting. One of my students today asked for help on this question from said paper: He had managed […]

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9:47 PM | CUE 2015 Notes & Reflections

I just got back from three awesome days at the Annual CUE Conference in Palm Springs. Sessions I attended:Applying Best Practices in 1:1 (Cheryl Morris, Andrew Thomasson, Sam Patterson)Slide Deck (see for lots of student creation examples)Students have a digital portfolio on WeeblyAutocrat can let students fill out a form and be emailed a document; teacher is still owner (still not sure how this is better/easier than Doctopus; need to explore)Pixlr functions like photoshop (14.99/year for
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infinity-imagined:This animation shows a human brain in cross-section. A head was frozen in a block of ice, sectioned with a macrotome, and photographed repeatedly. 700 horizontal sections with a thickness of 174 microns were produced and imaged. The animation starts near the top of the head and proceeds down towards the neck, then reverses and returns to the top.Images produced by the Visible Human Project, National Library of Medicine; http://vhnet.nlm.nih.gov/

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9:00 PM | Britney Spears taking maths lessons: Millionaire pop star wants to help her sons with homework

Britney Spears taking maths lessons: Millionaire pop star wants to help her sons with homework: Toyin Owoseje:After conquering the charts, pop superstar Britney Spears is now preparing to take on algebra.The 33-year-old Grammy winner, who is worth an estimated $130m (£87m), has revealed she has signed up for maths lessons so that she can help her sons with their homework.

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The lessons we learned from the Ryu-Takayanagi formula, the firewall paradox and the ER=EPR conjecture have convinced us that quantum information theory can become a powerful tool to sharpen our understanding of various problems in high-energy physics. But, many of … Continue reading →

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Los matemáticos John Forbes Nash (estadounidense, de 86 años) y Louis Nirenberg (canadiense, de 90 años) han sido galardonados con el Premio Abel 2015 por sus contribuciones al campo de las ecuaciones en derivadas parciales y sus aplicaciones al análisis geométrico. John Nash añade este premio al Premio Nobel de Economía (1994) y al Steele […]Entra en Gaussianos si quieres hacer algún comentario sobre este artículo, consultar entradas anteriores o enviarnos un
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Problem 1. Let and be two matrices with real entries. Prove that provided all the inverses appearing on the left-hand side of the equality exist. Problem 2. Determine all pairs of positive integers satisfying the equation Problem 3. Determine the set of real values for which the following series converges, and find its sum: Problem […]

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7:44 PM | Wooden impossible triangle

Real sculpture of impossible triangle by mtairymd
http://im-possible.info/english/art/sculpture/mtairymd.html
Author - http://www.instructables.com/member/mtairymd/

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Problem 1. Let be differentiable on . Prove that there exists such that Problem 2. Consider the infinite chessboard whose rows and columns are indexed by positive integers. Is it possible to put a single positive rational number into each cell of the chessboard so that each positive rational number appears exactly once and the […]

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The Norwegian Academy of Sciences and Letters has announced that the Abel Prize for 2015 will go to American mathematicians John F. Nash, Jr. and Louis Nirenberg “for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.” Read full details on the Abel Prize website. by

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The golden ratio is greatly hyped, partly for its beautiful mathematical properties but also for nonsensical reasons. Distinguishing between the two requires understanding that mathematics is about structures and relationships, not just numbers in isolation.

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7:23 PM | desargues’ theorem in color

the diagram is, essentially, traced from bruce e.~meserve’s _fundamental_concepts_- _of_geometry_ (dover reprint of 1983; originally addison-wesley 1959). but i added in the colors. with which, one has as follows. there’s a red line, a blue line, and a yellow line. to start with. all sharing a point. then two “triangles” are constructed: each of these […]

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Book review by Richard Elwes: Open a typical book on the theory of pedagogy, and all too often one is confronted by a morass of impenetrable and, one often suspects, unnecessary jargon. So it is a particular pleasure to read … Continue reading →

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6:40 PM | Some angle basics with circles

My older son and I are currently studying how angles and circles interact. I though that a good way for him to review some of the basic properties would be to give a short, sort of mini lecture on three of the properties. First up, what happens when the angle is on the circle: Next…

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Another post from Tap Into Teen Minds. Enjoy!
There are two groups of students I used to see forming in my math classroom and my teaching & assessment practices were the main reason why they formed.
The post Two Groups of Math Students I Created in My Classroom appeared first on Tap Into Teen Minds.

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6:23 PM | Some trinomial practice

This was created in #GeoGebra (there is a reason for "Gebra" in that name!) Find it on line here.

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سلسلة حساب التكامل - س20- Calcul d’intégrale
<!-- mathsways336-280 -->
(adsbygoogle = window.adsbygoogle || []).push({});
ما يلي شرح شامل لجميع دروس الثانية بكالوريا لكل الشعب العلمية بالاضافة الى سلسلة هائلة من التمارين المحلولة مع الشرح بالفيديو. كما يتم اضافة الجديد اسبوعيا وفي بعض الاحيان يوميا. […]

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5:35 PM | XXXI Olimpiada Matemática Thales

Buenas a todos!
Os dejo con mi aportación a la presente edición del Carnaval:
http://elmundoderafalillo.blogspot.com.es/2015/03/xxxi-olimpiada-matematica-thales.html
Saludos ;)

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Reference: Griffiths, David J. (2007), Introduction to Electrodynamics, 3rd Edition; Pearson Education – Chapter 12, Problem 12.59. Here’s another example the kinematics of particle collisions in relativity. This time, we’ll look at the common first year physics problem of elastic scattering of two identical masses, with one mass coming in along the axis with speed […]

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5:14 PM | Rickrolling pie chart

From Finger Magazine a few years back, in the heyday of rickrolling and humor charts. Maybe some choose to forget this era, but I'm never gonna give you up, let…Tags: humor

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5:03 PM | Behind the Numbers: Song Streaming

Streaming music may be a boon for those interested in knowing exactly how many times their songs are played, and by whom. But managing per-song, per-play transactions isn’t a simple task.

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4:45 PM | MFM2P - Day 33 (Finish Spaghetti Briges)

We did two warm ups today since we didn't have class yesterday. This is the Would You Rather we did:I wrote some conversions on the board for them as they seemed to need a push to get started. Some of my students spent the entire day yesterday writing the literacy test and were wiped out today...Here is what they came up with:They still have some work to do to write solutions in such a way that others can understand what they are doing, but I was pleased that so many groups were able to justify
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All of yesterday‘s best comments were in favor of the political philosopher. Adam writes: With Hobbes, the seminar would be “nasty, brutish, and short.” And it would degenerate into a “war of all against all.” In other words, the perfect academic seminar. And Jonathan writes: Chris Rock would definitely be more entertaining. But the chance […]
The post Mohandas Gandhi (1) vs. Philip K. Dick (2); Hobbes advances appeared first on Statistical Modeling, Causal Inference, and
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3:48 PM | Professor Stewart’s Incredible Numbers

Amazon just informed me of a new book which is the #1 New Release Math Book on Amazon! The book is titled: Professor Stewarts Incredible Numbers. At its heart, mathematics is about numbers, our fundamental tools for understanding the world. … Continue reading →

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Here is a question from the New York Algebra 1 (Common Core) Regents Exam from January 2015. It was worth two points.This solution is given as a model answer worth 2 points. Here is a model answer worth only 1 point. Here is a model answer worth 0 points.Please take note that the sample answer that was incorrect is to be given more credit than an answer that was correct.I have a serious problem with this as it seems to devalue the correctness of a response while overvaluing an
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3:45 PM | Math From the Week-Gone-By

Some of the things I DIDN'T cover at Math-Frolic:
1) For any hard-core statistics readers out there, a thoughtful, longish re-post from Deborah Mayo (on objectivity in stats):
http://errorstatistics.com/2015/03/21/objectivity-in-statistics-arguments-from-discretion-and-3-reactions/
2) And from Andrew Gelman, more interesting p-value stuff:
http://andrewgelman.com/2015/03/27/imagining-p/
3)

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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

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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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ulaulaman tweeted: @ulaulaman

Mercury's Odd Surface Features Mapped by NASA Spacecraft http://t.co/AIETU5SOC4 on @SPACEdotcom

2015-03-28 08:50:09

christianp tweeted: @christianp

Life achievement: I'm an original source in a wikipedia article http://t.co/wN4xktmR8Z

2015-03-28 08:49:21

ulaulaman tweeted: @ulaulaman

Researchers pattern magnetic graphene http://t.co/LmkZDOZftD on @Nanowerk

2015-03-28 08:40:06

ulaulaman tweeted: @ulaulaman

Imperfect graphene opens door to better fuel cells http://t.co/equxijMQQD on @Nanowerk

2015-03-28 08:30:10

srcav tweeted: @srcav

RT @MathDaily: FROM THE VAULTS: The great straight line debate #maths #math #mathchat #mathschat http://t.co/TYj73S9uj5 via @srcav

2015-03-28 08:07:07

MindAfterMath tweeted: @MindAfterMath

2015-03-28 07:55:46

rmathematicus tweeted: @rmathematicus

RT @SLevelt: English annotations to a Dutch chronicle. For more on this, see here: https://t.co/EwL2w4FeEL #RSA15 #s30133 http://t.co/p1Lbc…

2015-03-28 07:53:08

rmathematicus tweeted: @rmathematicus

RT @KeesJanSchilt: Last day of #rsa15 with Daniel @Margocsy on Pens & Swords in the Republic of Letters; panel sponsored by @chemheritage! …

2015-03-28 07:52:57

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