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Llega septiembre y empieza el curso. Si eres profesor de matemáticas de secundaria, bachillerato o universidad, te proponemos complementar tu clase tradicional con las Aulas Virtuales Sangakoo, una plataforma online donde tus alumnos aprenderán matemáticas, haciendo matemáticas. Cada aula virtual incluye un libro digital con toda la teoría matemática del curso, un fórum para […]

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10:37 AM | Data science expiration date

About three years ago JD Long said I like the term “Data Scientist” for now. I expect that term will be meaningless in 5 years. Sounds about right.

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10:31 AM | Math Gifs!

Jay came through with a great link this week. Check out this list of great math/sci gifs. Thanks, Jay!

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9:30 AM | On Blogging

I wish I knew why blogging has been so difficult for me lately. Today is day #245 of 2014. This marks blog post #182 of the year. 182 blog posts in 245 days. What this means is that I've written a new blog post approximately 75% of the days of this year. (This isn't entirely true. I tend to blog in spurts. I will sometimes take a few hours to sit and right out 4 or 5 blog posts at once. Then, I schedule them to be posted on separate days. Life […]

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Another post in what what was supposed be a fairly brief Netflix thread. I want to move on to other topics, but this latest news item was just too good an example of certain bad trends in journalism to pass up.You may have seen the following news story earlier:Netflix Acquires ‘The Blacklist’ For $2 Million An EpisodeEXCLUSIVE: In what is believed to be the biggest subscription video-on-demand deal for a TV series, I’ve learned that Netflix has acquired the rights to hit NBC drama The
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7:32 AM | PlotDevice: Draw with Python

You've been able to visualize data with Python for a while, but Mac application PlotDevice from Christian Swinehart couples code …Tags: PlotDevice, Python

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No summary available for this post.

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7:00 AM | 2708

2708 = 2 x 2 x 677.2708 in base 6 has digits in the order 2, 0, 3, 1, then repeats 2 (A037725).2708 in base 2 has exactly 10 runs (A043577): 101010010100.2708 is a number n such that the three numbers n - 1, n + 3, and n + 5 are all prime (A144840).2708 has a representation as a sum of two squares: 2708 = 22 + 522.2708 is the number of partitions of 84 into distinct parts, where the difference between the number of odd parts and the number of even parts is 5 (A240141).Source: OEIS

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5:00 AM | Mini: Favorite Part of School

(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.BSOQ: Big Square On Quad.

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I just started the thesis tag for blog entries that feature thesis manuscripts. Here is a new one which might be quite appropriate in light of the potential connection between current Deep Leanring issues and Approximate Messga Passing algorithms as mentioned in Parallel Paths for Deep Learning and Signal Processing ?. Without futher ado, Inference and Estimation in High-dimensional Data Analysis by Adel JavanmardModern technologies generate vast amounts of fine-grained data at an
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Spotted the following paper in the blog entry More Deep Learning Musings by Paul Mineiro, one can write in the blog the following:...For me the best evidence comes from that old chestnut MNIST. For many years the Gaussian kernel yielded better results than deep learning on MNIST among solutions that did not exploit spatial structure. Since the discovery of dropout this is no longer true and one can see a gap between the Gaussian kernel (at circa 1.2% test error) and, e.g., maxout networks (at
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4:29 AM | Regina 4.96 and hyperbolic manifolds

For those of you who aren’t on regina-announce: Regina 4.96 came out last weekend. There’s several new features, such as: rigorous certification of hyperbolicity (using angle structures and linear programming); fast and automatic census lookup over much larger databases; much stronger simplification and recognition of fundamental groups; new constructions, operations and decompositions for triangulations; and […]

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3:52 AM | Regular polytopes, 2

In the preceding post with this title, I showed how to translate the existence question for regular polytopes into one concerning groups, specifically string C-groups. I will begin by saying a bit more about the reverse construction. Suppose that we … Continue reading →

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My Geometers took the opportunity to inform me through their Chapter 1 exams that they really don't get how angles are named. So this seemed like a perfect opportunity for more Talking Points, of course. :)This time I'm giving everybody a diagram of a figure that the Talking Points refer to. They will have to do some reasoning about naming angles in order to do the Talking Points. They love doing Talking Points, but they mostly like coming to immediate consensus. Hopefully this will throw a […]

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The wife and I sat down for a fantasy football draft with her family last night, so it got me thinking today about how the process of building and managing your team is similar to how you plan, design, and manage your classroom.
DRAFT DAY
Just like the first day of school, you spend a ton of time planning for draft day. You take tips from other managers (teachers), you set the tone for your

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In 1936, two years after Karl Popper published the first German version of The Logic of Scientific Discovery and introduced falsifiability; 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. The years after saw many […]

Gandy, R. (1980). Church's thesis and principles for mechanisms., Studies in Logic and the Foundations of Mathematics, (101) 123-148. DOI: 10.1016/S0049-237X(08)71257-6

Citation

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3:13 AM | The Alon-Boppana Theorem

Let be a -regular graph, and let be the eigenvalues of the adjacency matrix of counted with multiplicities and sorted in descending order. How good can the spectral expansion of be? 1. Simple Bounds The simplest bound comes from a trace method. We have by using one definition of the trace and using the other […]

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3:00 AM | Guide to Game Theory Books

I have been writing about game theory since 2007. The number one question I get is which books I recommend. I made it a point to read as many new and classic books I could. These are best game theory books I’ve come across. My Book on Game Theory I will separately mention my own […]

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En el contexto del análisis de sensibilidad o postoptimal en Programación Lineal y una vez alcanzada la tabla (tableau) final en la aplicación del método simplex, resulta de interés evaluar el impacto en la solución óptima del problema si cambia un coeficiente o parámetro en la función objetivo asociado a una variable básica. Se busca […]

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Welcome to this week’s Math Munch! And, if you’re a student or teacher, welcome to a new school year! One of the most exciting events in the world of math happened this August– the awarding of the Fields Medal! This award honors young mathematicians who have already done awesome mathematical work and who show great […]

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What is YOUR definition of Interactive Notebook? I have been thinking a lot about this lately. In my current school and the one I worked in prior to this position, there were no textbooks. Well, there was a textbook at my last school but it was so horrible no one used it! Because of this, […]

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ilovecharts:
Pierre Boulez - Piano Sonata No. 2 - I. Extrêmement rapide
Boulez confuses me.

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Nothing rocks the world of young mathematicians like the order of operations. Just when they are feeling confident with their math facts, the rules change! Now they have to follow a certain order - and it makes no sense to them at all!I introduce the proper order using PEMDAS as a guide, but there is no substitute for practice when it comes to using the order of operations efficiently. Students need to think about this new rule for solving equations in several different ways, using several
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do-math:
*realizes joy division did some real quick fs photoelectron spectroscopy for their dumb album cover*

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I am humbled by the amount of feedback and support I have gotten through my PLN this past year. The best Professional Development conference I attended was the 2nd Singapore GAFE Summit almost 1 year ago to the day. The main thing I took from that conference was that I needed to share what I am doing in the classroom. The response I have gotten has been amazing! In that time, my blog has gotten over 30,000 views, my Google+ over 600,000, and my g(Math) Add-on for Docs and Sheets has over 30,000
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A nice problem that involves all four common geometric transformations, called Unit Squares and Triangles. Three unit squares and two line segments connecting two pairs of vertices are given. What is the area of △ELF? Two solutions are given on the website; this solution uses transformations, a CCSS feature. Since △ELF ~ △HIF ≅ △EFA, [...]

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12:26 AM | Jobs for Classroom Flow

One of my big goals this year is to nag my students less. To achieve this, I'm working to build better systems for class to flow naturally. Although I have often asked students to help with materials or cleaning up, but I have never had an organized plan to make this automatic on a daily basis. Last week, before our second class, I created four jobs to try out:-Time Keeper-Materials Manager-Photographer-Attendance I'm working on solidifying the responsibilities for each task, […]

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12:00 AM | All the Money

All the Money
People sometimes say "If I had all the money in the world ..." in order to discuss what they would do if they had no financial constraints. I'm curious, though, what would happen if one person had all of the world's money?
Daniel Pino
So you've somehow found a way to gather all the world's money. We won't worry about how you did it—let's just assume you invented some kind of money-summoning magic spell.
Physical currency—coins and
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11:38 PM | Cognitive Science Meets Pre-Algebra

Cognitive Science Meets Pre-Algebra: Benedict Carey:
The technique under study in Tampa, called interleaving, has become an especially hot area of interest among researchers. It mixes distinct but related problems or ideas — long division, say, and multiplying fractions — in daily homework assignments.
[source: Strogatz’s Twitter feed]

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In 1936, two years after Karl Popper published the first German version of The Logic of Scientific Discovery and introduced falsifiability; 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. The years after saw many […]

Gandy, R. (1980). Church's thesis and principles for mechanisms., Studies in Logic and the Foundations of Mathematics, (101) 123-148. DOI: 10.1016/S0049-237X(08)71257-6

Citation

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Quando ho condiviso il tweet qui sotto, non mi ero reso ancora conto del nome che avevo appena letto, eppure avrebbe dovuto suonarmi un campanello nella testa. Continuano i riconoscimenti internazionali per la #matematica dell'Universita' della #Calabria pic.twitter.com/JHIWaVlVGu— Gianluigi Filippelli (@ulaulaman) August 18, 2014Poi dopo è successo che sono andato a ricontrollare (che poi i campanelli magari suonano e semplicemente la suoneria è così bassa che non la senti, […]

Nash, J. (1950). Equilibrium points in n-person games, Proceedings of the National Academy of Sciences, 36 (1) 48-49. DOI: 10.1073/pnas.36.1.48

Nash J. (1951). Non-Cooperative Games, The Annals of Mathematics, 54 (2) 286-295. DOI: http://dx.doi.org/10.2307/1969529

Gottlob G., Greco G. & Scarcello F. (2003). Pure Nash equilibria, Proceedings of the 9th conference on Theoretical aspects of rationality and knowledge - TARK '03, 215-230. DOI: http://dx.doi.org/10.1145/846241.846269

Greco, G. & Scarcello, F. (2009). On the complexity of constrained Nash equilibria in graphical games, Theoretical Computer Science, 410 (38-40) 3901-3924. DOI: 10.1016/j.tcs.2009.05.030

Goldstone, R. & Janssen, M. (2005). Computational models of collective behavior, Trends in Cognitive Sciences, 9 (9) 424-430. DOI: 10.1016/j.tics.2005.07.009

Beni G. (1993). Swarm Intelligence in Cellular Robotic Systems, Robots and Biological Systems: Towards a New Bionics?, NATO ASI Series Volume 102 703-712. DOI: http://dx.doi.org/10.1007/978-3-642-58069-7_38

Bonabeau E., Dorigo M. & Theraulaz G. (2000). Inspiration for optimization from social insect behaviour, Nature, 406 (6791) 39-42. DOI: http://dx.doi.org/10.1038/35017500

Citation

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Quando ho condiviso il tweet qui sotto, non mi ero reso ancora conto del nome che avevo appena letto, eppure avrebbe dovuto suonarmi un campanello nella testa. Continuano i riconoscimenti internazionali per la #matematica dell'Universita' della #Calabria pic.twitter.com/JHIWaVlVGu— Gianluigi Filippelli (@ulaulaman) August 18, 2014Poi dopo è successo che sono andato a ricontrollare (che poi i campanelli magari suonano e semplicemente la suoneria è così bassa che non la senti, […]

Nash, J. (1950). Equilibrium points in n-person games, Proceedings of the National Academy of Sciences, 36 (1) 48-49. DOI: 10.1073/pnas.36.1.48

Nash J. (1951). Non-Cooperative Games, The Annals of Mathematics, 54 (2) 286-295. DOI: http://dx.doi.org/10.2307/1969529

Gottlob G., Greco G. & Scarcello F. (2003). Pure Nash equilibria, Proceedings of the 9th conference on Theoretical aspects of rationality and knowledge - TARK '03, 215-230. DOI: http://dx.doi.org/10.1145/846241.846269

Greco, G. & Scarcello, F. (2009). On the complexity of constrained Nash equilibria in graphical games, Theoretical Computer Science, 410 (38-40) 3901-3924. DOI: 10.1016/j.tcs.2009.05.030

Goldstone, R. & Janssen, M. (2005). Computational models of collective behavior, Trends in Cognitive Sciences, 9 (9) 424-430. DOI: 10.1016/j.tics.2005.07.009

Beni G. (1993). Swarm Intelligence in Cellular Robotic Systems, Robots and Biological Systems: Towards a New Bionics?, NATO ASI Series Volume 102 703-712. DOI: http://dx.doi.org/10.1007/978-3-642-58069-7_38

Bonabeau E., Dorigo M. & Theraulaz G. (2000). Inspiration for optimization from social insect behaviour, Nature, 406 (6791) 39-42. DOI: http://dx.doi.org/10.1038/35017500

Citation

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Zur Jahrtausendwende hatte das Clay-Institut jeweils 1 Million Dollar für sieben mathematische Probleme ausgelobt, von denen in der Zwischenzeit erst eines (die Poincaré-Vermutung) gelöst wurde. Manjul Bhargava, frischgebackener Fields-Medaillist, hat heute auf dem ICM eine 66,48-prozentige Lösung eines weiteren Millionenproblems – der Birch-Swinnerton-Dyer-Vermutung – vorgestellt, die ihm freilich keine 66,48% des Millionenpreises einbringen wird… Es…

Manjul Bhargava, Christopher Skinner & Wei Zhang (2014). A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture, ArXiv, arXiv: 1407.1826v2

Citation

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Un gruppo di fisici che studiano la meccanica dei fluidi ha iniziato una proficua collaborazione con Kara Maki riguardo lo studio dinamico delle "pellicole" di lacrime. Il modello, sviluppato in tre articoli che hanno preceduto il lavoro conclusivo, soprattutto sperimentale, è così descritto: all'interno della pellicola lacrimale, le dinamiche del fluido sono governate dalle equazioni incomprimibili di Navier-Stokes insieme con la conservazione di massa ed energia. Alla superficie libera
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Miller A., Carchman R., Long R. & Denslow S.A. La Crosse viral infection in hospitalized pediatric patients in Western North Carolina., Hospital pediatrics, (26) PMID: 24313031

Maki K.L., Braun R.J., Henshaw W.D. & King-Smith P.E. (2010). Tear film dynamics on an eye-shaped domain I: pressure boundary conditions., Mathematical medicine and biology : a journal of the IMA, 27 (3) 227-254. PMID: 20064825

Maki K.L., Braun R.J., Ucciferro P., Henshaw W.D. & King-Smith P.E. (2010). Tear film dynamics on an eye-shaped domain. Part 2. Flux boundary conditions, Journal of Fluid Mechanics, 647 361-390. DOI: http://dx.doi.org/10.1017/s002211200999382x

Maki K.L., Braun R.J. & P. E. King-Smith (2008). An overset grid method for the study of reflex tearing, Mathematical Medicine and Biology, 25 (3) 187-214. DOI: http://dx.doi.org/10.1093/imammb/dqn013

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rmathematicus tweeted: @rmathematicus

RT @OnThisDayinMath: 1923 Rene Thom born he received a Fields Medal for his 1954 creation of cobordism in algebraic topology. http://t.co/…

2014-09-02 18:34:34

PeterSmith tweeted: @PeterSmith

"If Jeff Koons symbolizes our era, we deserve a better era." From @LAReviewofBooks http://t.co/HRTmPlcuqQ

2014-09-02 18:33:16

rmathematicus tweeted: @rmathematicus

“@yovisto: Ernst Curtius and the Excavation of Olympia http://t.co/tT8st7PTMy
On September 2, 1814, G...”

2014-09-02 18:31:30

peterrowlett tweeted: @peterrowlett

Finished my first batch. Next lot arrive on Thursday. #markathon2014

2014-09-02 18:28:16

rmathematicus tweeted: @rmathematicus

“@LauraJSnyder: Page proofs of #EyeoftheBeholder have arrived! http://t.co/fqiMdYsXvq”

2014-09-02 18:22:06

rmathematicus tweeted: @rmathematicus

“@azareal: Today In Science History – September 3 – Carl David Anderson http://t.co/lpCXbOPQAR http://t.co/yH9wNyHwab”

2014-09-02 18:21:34

rmathematicus tweeted: @rmathematicus

RT @EclipseMaps: Informative explanation of the publication of new 1000 year canons of solar and lunar eclipses by @fespenak at http://t.co…

2014-09-02 18:21:18

rmathematicus tweeted: @rmathematicus

“@SaraSchechner: Bring on the new students! @harvardchsi skeleton in Body of Knowledge exhibition @HarvardMuseums http://t.co/FNWwDbFiMn”

2014-09-02 18:20:43

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