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# Posts

### October 31, 2014

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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. […]

### October 30, 2014

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"Ένας μαθηματικός,που δεν είναι λίγο […]
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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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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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twocubes: cute!
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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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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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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 […]

### October 29, 2014

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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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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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No summary available for this post.
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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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Is it too late for me to go back to elementary school? [...]
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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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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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(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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### October 28, 2014

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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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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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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 / (2 + 8) = 1^4 Also: 10 + 2 - 8 = 1 * 4 Also: 10 / 2 = 8 + 1 - 4
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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!