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geometrymatters:
Geometry Matters:
Various nature elements that abide by geometric laws and construction patterns.
© Geometrymatters,2014
Reblogged for the Visualizing Math followers that are fans of Sacred Geometry.

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7:45 PM | 利用重心推导平方和公式

假设平面上有 1 + 2 + 3 + … + n 个小球，每个小球的质量都是 1kg 。它们排成了一个三角形阵，具体地说，它们排成了一个倒置的、以 (0, 1) 为顶点的等边三角形。这个三角形阵作为一整个物体，它的重心的 y 坐标是多少？我们有两种不同的求解方法。 第一种方法是暴力方法。这个物体的重心的 y 坐标，一定等于所有小球的 y 坐标的平均值，即 (1 × 1 + 2 × 2 + 3 × 3 + … + n × […]

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7:35 PM | Real-World Math: Bushels of Fun

Author's Note: I started writing this yesterday (Saturday), but by the time I returned home, there wasn't time to finish it and clean it up. I worked on it this morning, but all references to "today" were really yesterday. There are four pecks in a bushel. I know this because my mother loved me a bushel and a peck. She'd tell me this all the time in song. Okay, so I was never sure what a "peck" was. Something chickens do, right? And those little kisses on the cheek, too. So four pecks would be
[…]

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5:13 PM | Around the World Puzzle!

Here is a really interesting, “messy” math puzzle problem: Say you have 16 two-sided puzzle pieces that fit together into a circle. Each puzzle piece has either two “in” knobs or two “out” knobs. Eight of these 16 pieces have two “in” knobs and the remaining pieces have two “out” knobs. See picture. In […]

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11:15 AM | Pickover on Platonism…

Some extended discourse via Cliff Pickover today from his volume, "A Passion For Mathematics" (one of my favorite Pickover offerings):"I think that mathematics is a process of discovery. Mathematicians are like archaeologists. The physicist Roger Penrose felt the same way about fractal geometry. In his book The Emperor's New Mind, he says that fractals (for example, intricate patterns such as the Julia set or the Mandelbrot set) are out there waiting to be found:'It would seem that the
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genderoftheday:
Today’s Gender of the Day is: Bertrand Russell and Alfred North Whitehead Proving That 1+1=2

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This flickr photo album contains some of the most illustrative images, I ever uploaded on internet. The album has copyright free...
Visit the original post Copyright Free images for your next blog post for the best experience of reading!

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11:22 AM | Review of Kids Pattern Game (Android)

In Kids Pattern Game Lite, players must complete the pattern of different colored mushrooms, shapes, cows and horses, and number sequences. Three choices are provided and wrong answers are met with “Try again!,” “You’re almost there” to encourage players to continue. The easy and medium levels are quite similar and provide good practice. The hard level will […]
The post Review of Kids Pattern Game (Android) appeared first on autismpluslande.

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8:59 AM | New Term Warp Up

A couple of years ago I posted some problems to warm your brains up for the new school year. In 2013, I inexplicably forgot. Oh well. This year, I have remembered again. I wrote the following problems for Charterhouse's 2014 Foundation Scholarship paper. It is taken by selected year 8 students in the year before they arrive at the school. In this section of the paper, students have an hour to answer, as completely as possible, any questions from a choice of six. How do you get on?

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2:17 AM | (x, why?) Is In TV-Tropes

As many of you are probably aware(*), there is a website called TV Tropes which details those cliches and shortcuts writers take when trying to add little plot twists or just get to the end of the story quicker. And they cover a lot more than just TV. In fact, they have pages detailing webcomics, and I've made no secret of the fact that I'd love to be listed in there or have my page appear as examples as any of the tropes pages. However, I didn't want to add my own material there. And as of
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allofthemath:
This is the graph of |x|+|y|=4. I like it.

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7:38 PM | 趣题：竞技场里的狮子能否保证抓住最高速度相同的小明？

小明和狮子同被关在一个半径为 10 米的竞技场里，狮子位于竞技场的圆心处，小明则在距离圆心 1 米的地方。两者的最大运动速度都是每秒 1 米。狮子有没有什么必胜策略，使得不管小明怎么跑，它总能在有限的时间里抓住小明？ 根据 MathWorld 相关词条的描述，这个问题是由 R. Rado 在 1925 […]

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Equal Opportunity
Can two dice be weighted so that the probability of each of the numbers 2, 3, …, 12 is the same? Click here to find out.

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curiosamathematica:
Sperner’s lemma
Color the vertices of a triangulated triangle with three colors such that:
each vertex of the main triangle has a different color;
each vertex on an edge of the main triangle is colored with one of the two colors at the end of its edge;
then there exists a small triangle whose vertices are colored with all three different colors. More precisely, there exists an odd number of such triangles.
This result looks playful and innocent but is in fact quite
[…]

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12:30 PM | 8/29/14

82 (mod 9) = 1^4
Also:
8 + 2 - 9 = 1^4
Also:
8 = 2 + √9 - 1 + 4
Also:
8 = 2 + √9 + 1 + √4
Also:
8 - 2 = 9 + 1 - 4

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11:15 AM | Friday Wrap-up

Another week from the world of math:
1) Article touting the role of rote memorization in early math education:
http://tinyurl.com/lj759wd
2) Fawn Nguyen describes the beginning of her classroom school year, as perhaps only she can:
http://fawnnguyen.com/first-two-days-school/
3) LA Times op-ed on the gender-gap in mathematics:
http://www.latimes.com/opinion/op-ed/

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10:16 AM | Why there are so few women in tech…

Why are there so few women in technical professions? Are women bad at programming? Do they keep rejecting programming jobs? Do they fail to fit into the culture of tech companies? Actually, all of these reasons aren’t true. Here’s a nice long (and depressing) article (don’t forget to read the comments, as well as this […]

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5:57 AM | Meet our dream logo!

Not even a year back, we were designless creatures. We used to steal graphics from Creative Commons sources. But once we...
Visit the original post Meet our dream logo! for the best experience of reading!

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I didn't get any response to yesterday's mini-comic, but then, I rarely do. (And not to complain because I'm happy to get comments, but it's generally the same 2 or 3 people.) When I did a little analysis of the previous comics and saw that a year was going by before I reached the next 100th comic, I realized something was wrong. It's taking more and more time that I don't seem to have. And unless I want it to turn into a soap opera among the teachers, the jokes are getting harder to write.
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“While there was a time when I thought that I would be proud to have the letters “PhD” after my name, this is unfortunately no longer the case.” from “An Aspiring Scientist’s Frustration with Modern-Day Academia: A Resignation”, anonymous text posted in Pascal Junod’s blog Have I posted this story of academic frustration yet? No?? Well, […]

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2:09 PM | Ice Bucket Efficiency

If you have been living on Planet Earth with an internet connection during the past month, then you can't fail to have noticed the precious bandwidth that has been devoted to streaming videos of people being soaked by a bucket of (allegedly) ice-cold water: The [insert chosen charity here] Ice-Bucket Challenge.Dubbia is for WaterIt is one of those extraordinary phenomena that transcends age, race, creed, and sanity. Everybody but everybody is getting in on the action. With the new school term […]

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12:30 PM | 8/28/14

8 * 2 / 8 = 1 * √4
Also:
8 + 2 - 8 = 1 * √4
Also:
|(8 / 2) - 8| = 1 * 4
Also:
82 (mod 8) = 1 * √4

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Ghost or WordPress : Which is better? Ghost is a neat publishing focused blogging platform. Ghost allows you to write and...
Visit the original post Experience Ghost blogging platform on WordPress for the best experience of reading!

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ted:
What do leopard spots, striped marine angelfish, and sand dune ripples have in common? Their patterns are self-organizing Turing systems! Discovered by Alan Turing in the 1950s, these repeating natural patterns can be created by the interaction of two things that spread at different speeds, one faster than the other.
See how scientists are applying Turing’s theories today.
Gifs are from Creative Commons videos by Jonathan McCabe.
I knew that name was familiar! Alan Turing is
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12:30 AM | Introduction to Incompleteness

"Incompleteness is one of the most beautiful and profound proofs that I’ve ever seen. If you’re at all interested in mathematics, it’s something that’s worth taking the effort to understand." -- Mark Chu-Carroll Mark Chu-Carroll (of "Good Math, Bad Math") is in the process of re-posting his own splendid discussion/explanation of Gödelian Incompleteness this week. If it's a subject that interests you, or you've always wanted a detailed introduction, his first three posts […]

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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

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 […]

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

Citation

michiexile tweeted: @michiexile

2014-09-01 05:06:25

michiexile tweeted: @michiexile

RT @scottlynch78: Hey, sorry I drugged you and cut out your kidneys for black market resale. Still, you must admit it's mostly your fault f…

2014-09-01 05:06:00

michiexile tweeted: @michiexile

RT @scottlynch78: Lol, sorry, I know I broke into your house to steal those nude pictures, but the moral is: Don't take nude pictures of yo…

2014-09-01 05:05:55

michiexile tweeted: @michiexile

RT @scalzi: For the record, our first wedding dance was Bryan Ferry's "Slave to Love" which then segued into NIN's "Head Like A Hole." FOR …

2014-09-01 05:04:21

michiexile tweeted: @michiexile

RT @scalzi: It really is a beautiful song, which is why people are lulled into thinking Sting isn't in fact channelling a restraining-order…

2014-09-01 05:04:18

michiexile tweeted: @michiexile

RT @ingrediments: @scalzi I'm convinced that that and "One Way or Another" are actually being sung to each other.

2014-09-01 05:04:11

michiexile tweeted: @michiexile

RT @scalzi: Listening to "Every Breath You Take" and still can't believe people ever confused it for a romantic song. People played it at W…

2014-09-01 05:03:59

michiexile tweeted: @michiexile

RT @mudlock: "Torvalds is a jerk, but we'll overlook that because of what he made."
"Quinn made an award-winning game, but we'll overlook t…

2014-09-01 05:00:02

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