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Posts

July 29, 2015

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10:19 AM | Το μαγικό τετράγωνο της πιατέλας,ένας γράφος για την διαιρετότητα με το 7,συμμετρίες για μπαλλαδορους και μη,διακριτά μαθηματικά και..μπαλόνια.
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9:03 AM | Avoid busy times at local businesses with Google
Waiting in line stinks. I purposely go to the grocery store during off-times with my son, so I don't have to deal with the long lines. Google, I think currently…Tags: Google, location, traffic
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9:00 AM | Ask Uncle Colin: a topological conundrum
Ask Uncle Colin is a chance to ask your burning, possibly embarrassing, maths questions — and to show off your skills at coming up with clever acronyms. Send your questions to colin@flyingcoloursmaths.co.uk and Uncle Colin will do what he can. Dear Uncle Colin, I’m having a topology crisis. I’ve been trying to understand why 3.9.12 isn’t a valid semi-regular polyhedron and I can’t make sense of it. I’m driving myself to distraction! — Vertices, Edges, […]
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8:57 AM | Knife Act
I have just baked a rectangular cake when my wife comes home and barbarically cuts out a piece for herself. The piece she cuts is rectangular, but it’s not in any convenient proportion to the rest of the cake, and its sides aren’t even parallel to the cake’s sides. I want to divide the remaining cake into two equal-sized halves with a single straight cut. How can I do it? http://www.futilitycloset.com/2015/07/29/knife-act/
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8:40 AM | Where the Laws No Longer Hold
Next, my brain exploded and the universe dissolved around me, because I had just punched logic in the face. Continue reading →
Editor's Pick
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7:33 AM | New GCSE: Sequences
I've been busy getting my head around the additional sequences content on the new 9 - 1 Maths GCSE and thought it would be helpful to share my findings. Quite a lot has been added to the higher tier. Previously students covered all the GCSE sequences content at Key Stage 3 so there was nothing new to teach at Key Stage 4. But now we need to include a few weeks' worth of sequences lessons in our
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7:30 AM | Another Puzzle
7/29/2015Can you put the numbers 1 through 8 in the boxes below so that no two consecutive numbers border each other (they cannot share a side - top, bottom, left or right). […]
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6:56 AM | A map of Calabi–Yau 3-folds
This morning I discovered a super awesome visualisation of Calabi–Yau 3-folds. The very same plot of Hodge numbers of Calabi–Yau 3-folds indicated 25 years ago that something like mirror symmetry could be true, and this tool is a spectacular visualisation of what is already known about mirror pairs for Calabi–Yau 3-folds. Make sure you read […]
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6:35 AM | #TMC15 Takeaways
This is the first year of TMC that I felt like part of the crowd and not a fangirl on the sidelines.I still had to push myself out of my default setting of wanting to be alone. I hugged a bunch of people, hung out with my virtual-Kansas-math-department, and asked a friend to lunch that I really wanted to get to know better. But as soon as it was lunch time, I literally had to stop myself from running to my car and going to eat alone. And when people talked to me, I asked questions instead of […]
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6:34 AM | Scrabble Words, Scrabble Patterns, Scrabble Palindromes, Scrabble Primes
7/28/2015 Scrabble WordsScrabble is an interesting game, which has some […]
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5:57 AM | The 2nd Workshop on Fairness, Accuracy and Transparency in Machine Learning: A review
I was one of the organizers of the 2nd workshop on Fairness, Accuracy and Transparency in Machine Learning (FATML) at ICML 2015, and in my alternate career as moderator of data mining panels, I moderated the closing panel. The panelists were Fernando Diaz from MSR New York, Sorelle Friedler from Haverford College, Mykola Pechenizkiy from Eindhoven Instt. of Technology and Hanna Wallach from UMass-Amherst and MSR.While my original intent was to do a review of the panel, it became clear that the […]
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5:00 AM | 3.4
- Figures sans paroles / Les figures sans paroles
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5:00 AM | Training Very Deep Networks - implementation -
 As each layer of a deep neural  network can be viewed as an iteration step of a reconstruction solver, one wonders if and how to design them so that they more generally fit the generic behavior of traditional solvers (which use many iterations). Here is the beginning of an answer today in the following preprint: Training Very Deep Networks by Rupesh Kumar Srivastava, Klaus Greff, Jürgen Schmidhuber Theoretical and empirical evidence indicates that the depth of neural […]
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5:00 AM | Fulkerson Prize to Francisco Santos
The 2015 Delbert Ray Fulkerson Prize has been awarded to Francisco Santos, University of Cantabria (Spain), for his paper "A Counterexample to the Hirsch Conjecture," Annals of Mathematics (2012). The Fulkerson Prize is sponsored jointly by the Mathematical Optimization Society and the AMS, and is given every three years for outstanding papers in the area of discrete mathematics. Read more about the Fulkerson Prize.
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4:00 AM | Math Team Canada’s achievements celebrated across Canada
Math Team Canada’s incredible ninth place finish and Alex Song’s top ranking at the IMO has received a lot of attention in the media this week. The story has gained traction in media outlets and on social media. Canadian astronaut Chris Hadfield and NDP Leader Tom Muclair were two of the many people to offer their congratulations to Alex via Twitter. The CMS has staged Canadian participation in the IMO since 1981 and is one of the many programs that helps promotes the advancement, […]
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3:44 AM | Explain this Scenario in Jeapardy and some more thoughts
In the last post I had the following scenario: Larry, Moe, and Curly are on Jeopardy. Going into Final Jeopardy: Larry has $50,000, Moe has $10,000, Curly has $10,000 Larry bets $29,999, Moe bets $10,000, Curly bets $10,000 These bets are ALL RATIONAL and ALL MATTER independent of what the category is. For example, these bets make sense whether the category is THE THREE STOOGES or CIRCUIT LOWER BOUNDS. Explain why this is. EXPLANATION: You were probably thinking of ordinary Jeopardy […]
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3:30 AM | In Praise of Teamwork
Part of what makes math blogging so interesting is that it helps to build connections between the people creating math and those consuming math. The evolution in math blogging and blossoming of math on twitter has done a great deal … Continue reading →
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3:30 AM | #TMC15 Teacher Woman (aka #fawncrush)
Teacher WomanFawn NguyenTMC15Saturday KeynoteClaremont, CAThe Five F'sFastFairFriendlyFirmFunnyBuilding relationships trumps content, pedagogy, common core, testingRita Pierson Ted Talk- Every Kid Needs a ChampionRelationships with Administratorsrealize that administrators care the same but show it differently -Glenn Waddellrespect the positionput things in writinginvite them in the classroomnever bad mouth adminRelationships with Colleaguesbe willing to share ALL the lessonsimagine YOUR kid in […]
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3:13 AM | My Foldable Notebook for Teachers
Shortly after I started using Foldables in 2012, I realized that their use was transforming my planning process for the better.  Prior to using Foldables, I was teaching from a textbook.  If the textbook had three examples in a section, I was going to present them.  If the textbook ordered the sections in a particular way, that's the order I was going to teach them to my students.  I hate to entirely slam textbooks.  After all, there are lots of people working to […]
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3:09 AM | 2014-2015 Year In Review: IB Physics SL/HL
This was my first year teaching IB Physics. The class consisted of a small group of SL students with one HL, and we met every other day according to the block schedule. I completed the first year of the sequence … Continue reading →
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2:57 AM | #TMC15 Math Mistakes and Error Analysis: Diamonds in the Rough
Math Mistakes and Error Analysis: Diamonds in the RoughAndrew StadelEstimation180.com/tmc15Thursday 2:45-3:45TMC15Claremont, CAWe need a large window into student thinking.Turn problems into play by pointing out that making predictions means everyone will be wrong. Who's going to be the least wrong?Imagine the anxiety you feel when the copier isn't working. How do we clear that jam with our students?How can we make student mistakes drive instruction, curb student misconceptions, and strengthen […]
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2:54 AM | Algebra (sort of) in a short story
 Tomorrow I head to Baltimore for the BRIDGES Math-Arts Conference.Explore the conference program at this link.  Would love to see you there! It is my occasional delight to learn of a new mathy poem in an email message from Francisco José Craveiro de Carvalho, a Portuguese mathematician who loves poetry and has translated many math-related poems to and from his native language -- a seeker and finder of such poems who shares them with me.  (See also 23 October 2010, 17 […]
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2:30 AM | Sieve Theory
Originally posted on Math Online Tom Circle:This Math technique is very often used by great mathematicians who have the multi-year patience in the laboriously proofs: Chen Jingrun “1+2″ Goldbach Conjecture. (Terrence Tao’s notes) Zhang Yitang on the “70 million…
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2:28 AM | Kolmogorov Complexity
Originally posted on Math Online Tom Circle:What are the differences of these strings of characters? 1111111111111… 010101………..01… 1001100100001…. The 1st string is all ‘1’ The 2nd string is all ’01’ The 3rd string is complex: random ‘0’, ‘1” Kolmogrov…
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2:25 AM | NRL Predictions for Round 21
Team Ratings for Round 21 The basic method is described on my Department home page. Here are the team ratings prior to this week’s games, along with the ratings at the start of the season. Current Rating Rating at Season Start Difference Roosters 10.93 9.09 1.80 Broncos 9.29 4.03 5.30 Cowboys 8.18 9.52 -1.30 Rabbitohs […]
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2:22 AM | Learn Math via Wikipedia
Originally posted on Math Online Tom Circle:This blogger has a very valid point on Math Self-study Technique : Learning Math ‘Just-in-Time’ using the rich resources in Wikipedia: http://steve-yegge.blogspot.in/2006/03/math-for-programmers.html
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2:18 AM | Hadley Wickham
Dan Kopf from Priceonomics has written a nice article about one of Auckland’s famous graduates, Hadley Wickham. The article can be found Hadley Wickham.
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2:13 AM | Physics, Plato and epistemology
In a recent Scientific American article, the late physicist Victor Stenger, along with authors James A. Lindsay and Peter Boghossian argue that, while not acknowledged as such, some interpretations of quantum mechanics are implicitly platonic (with a lower-case p). We will use platonism with a lower-case “p” here to refer to the belief that the [...]
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1:42 AM | The User's Guide Project: Giving Experiential Context to Research Papers
We announce the User's Guide Project.
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1:42 AM | Inequality Proof
The format of two-column proof from high school geometry class is playfully used to present statements and reasons about wealth inequality.
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