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twocubes:
anewkindofmagic:
twocubes:
aeneida:
twocubes:
cute!
I want to prove this but I don’t know where to start
hint:
I got in quite a mess of algebra when I did this. Curse the sum of squares formula and all its works.
Alternate way I found: consider the pairs of squares on both sides , starting with the largest. Take the smaller from the bigger, and add these differences. We want to prove that this is equal to the square of n(2n+1). For instance, (14^2-12^2)+(13^2-11^2)=10^2.
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"Ένας μαθηματικός,που δεν είναι λίγο
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9:02 PM | Scary Mathematics

I thought that because Halloween is tomorrow (for me) a post about some Halloween related mathematics will be fun. 1. Carving Pumpkins. This is one of the traditions for Halloween that I enjoy the most. I was never used to Halloween … Continue reading →

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5:22 PM | How to Edit or Remove Genesis Footer?

In standard WordPress themes, footer.php file contains the credits. But in Genesis and its child themes , the functions file does the part. Genesis renders the credits by using following action: do_action( 'genesis_footer' ); Most of the times, the footer credits are automated and […]
Visit the original post How to Edit or Remove Genesis Footer? for the best experience of reading!

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3:55 PM | Puzzles Book

After the bulky blog book, I was receiving emails to publish the individual sections in lighter file sizes. Here is the ‘Puzzles’ only e-book getting published today. This e-book contains exactly 24 puzzles with complete solution.
Visit the original post Puzzles Book for the best experience of reading!

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12:30 PM | 10/30/14

1 + 0 + 3 + 0 = 1 * 4
Also:
(1 + 0) * (3 + 0) = 1 + √4
Also:
(1 + 0) * (3 + 0) = |1 - 4|

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(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.Secant you will find what Man was Not Meant to Know.

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3:00 AM | Game Theory In The News (Oct 2014)

This is the current installment of the monthly series “Game Theory in the News.” My hope is to highlight stories that can be used as case studies in the classroom, both so students can see how to apply game theory and so teachers can make class material easier to relate to. You can get these […]

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I have posted a new video that I think you’ll enjoy. The video demonstrates that every time you make popcorn, you are listening to a statistics experiment. What Does The Normal Curve Sound Like? Popcorn! For more videos on math and game theory, please subscribe to my YouTube channel.

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3:30 PM | Moravec's Paradox

This isn't exactly math, but it's artificial intelligence (AI), and that's close enough... especially since a few posts back I wrote about IBM's "Deep Blue" and its 1997 defeat of chess grandmaster Gary Kasparov (at the time, a long-held goal of AI). Well, Moravec's paradox is the interesting idea that advanced or high-level reasoning and logic is much more easily mimicked by a computer system than are low-level sensori-motor skills that have evolved over millions of years... it's easier for a […]

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curiosamathematica:
Teake Nutma, The Exceptional Symmetry of E8.
This movie attempts to show the beautiful symmetry of the exceptional Lie group E8. Out of all the known Lie groups, E8 stands out as the largest and most complex exceptional group. It has 248 generating elements, which by themselves have an astounding degree of symmetry. This symmetry can only be fully grasped in 8-dimensional space. But luckily it is also possible to project E8 onto a two-dimensional plane, chosen such that
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12:30 PM | 10/29/14

10 + 2 - 9 = |1 - 4|
Also:
10 / 2 = (9 * 1) - 4
Also:
|10 - 2 - 9| = 1^4
Also:
10 = (2 + √9) * 1 * √4

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When I first began to move to and fro between the Social Studies and Maths and Computer Science buildings on campus, and attending various events in both (and occasionally in the hyper-fashionable Arts Faculty), I couldn’t help but notice a relieving and liberating feature of departmental life which is rather different in those different departments: […]

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6:09 AM | "Real" Job Interview - Part 4

A special thanks to Colin D for the idea for today's comic! Parts 1, 2 and 3 of the "Job Interview" series in case you missed them. Here's a modified version of the comic:...

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The problem posed in M.SE concerns real methods of evaluating $$\int_0^{\infty} dx\frac{\log(x)}{\cosh(x) \sec(x)- \tan(x)} $$ The place I started is the nifty result, proven here, that $$\frac{\sin{x}}{\cosh{t} – \cos{x}} = 2 \sum_{k=1}^{\infty} e^{-k t} \sin{k x} $$ Of course, the integral actually looks like $$\int_0^{\infty} dx \frac{\cos{x}}{\cosh{x} – \sin{x}} \log{x} $$ so we need to […]

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5:00 AM | Math Horror Movies: Little Shape

(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.You don't meet nice shapes on Skid Row. Don't feed the plant! Plus a Constant.

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Is math discovered or invented? - Jeff Dekofsky
Discovered. Definitely discovered.

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Sorry Mom, I can't go to school today. I'm having a trig identity crisis. Continue reading →

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10:54 PM | Adventures with the Treasury and the Fed

Last year, my wife and I put on an event to recognize the success of a fast-growing division of the Hunt Companies. The event was held at the Boettcher Mansion on Lookout Mountain outside Denver. Corrina, a sommelier and chef, … Continue reading →

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9:30 PM | Maths, active learning and metacognition

An interesting article about a new book which explains how we learn to learn, and how to teach students how to think: “Critical Maths for Innovative Societies: The Role of Metacognitive Pedagogies”. “College professors often point out that their students never learnt how to learn. Derek Cabrera was surprised to find that even the “cream […]

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9:00 PM | Just Passing This Along

Colin Hegarty, who runs Hegartymaths has been bestowed a "Gold" tech-teaching award for his free math-tutorial site in Britain:http://bit.ly/1322gNbHis videos are here:https://www.youtube.com/user/HEGARTYMATHS/videos I've not actually experienced the site or videos, so not directly endorsing it, but just recognizing that others attest to its value. It sounds a lot like (and was indeed inspired by) Khan Academy, which remains controversial in various quarters.Anyway, check it out if you're […]

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On Monday, November 3, WordPress.com's Blogging U. launches a free month-long photo-a-day course. Sign up today!

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10:44 AM | Beautiful Recent Posts Widget

Beautiful Recent Posts Widget (BRPW) is a clean minimal sidebar widget to showcase your recent articles in a clean & beautiful way. Features: Lightweight – Just 5kB in size. Tested on WordPress 3.5+ // WordPress 4.0 recommended. Customize the way you […]
Visit the original post Beautiful Recent Posts Widget for the best experience of 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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srcav tweeted: @srcav

2014-10-31 07:52:32

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2014-10-31 07:50:17

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RT @CesqueHC: ICYMI: MT @MadameGilflurt: hosting #cesque 106, with the best recent #earlymodern #ancient #medieval blogging http://t.co/ijF…

2014-10-31 07:39:29

rmathematicus tweeted: @rmathematicus

Yesterday's second new post of the day! – Financing Tycho’s little piece of heaven http://t.co/PyCP4ieAyf

2014-10-31 07:36:30

rmathematicus tweeted: @rmathematicus

A Thursday Teatime mini-rant: "Having lots of letters after your name doesn’t protect you from spouting rubbish" http://t.co/LTBicA7sxm

2014-10-31 07:36:02

rmathematicus tweeted: @rmathematicus

RT @hssonline: Preserved specimens: inside a scientific storehouse of natural history treasures http://t.co/hR2GNBlO52 via @dw_english

2014-10-31 07:34:50

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How to Edit or Remove Genesis Footer? | Gaurav Tiwari http://t.co/KZlac3eBzE

2014-10-31 07:30:07

mathtuition88 tweeted: @mathtuition88

Recommended IB Math Books http://t.co/Dr4KEdB4Z1

2014-10-31 07:29:22

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