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# Posts

### July 03, 2015

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In just a few short weeks my kids and I will be partaking in this water obstacle course on Lake Siskiyou in Northern California. After several tentative years in the water, my 6-year-old recently learned to swim and now I … Continue reading →
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Professor Larry Laudan Lecturer in Law and Philosophy University of Texas at Austin “When the ‘Not-Guilty’ Falsely Pass for Innocent” by Larry Laudan While it is a belief deeply ingrained in the legal community (and among the public) that false negatives are much more common than false positives (a 10:1 ratio being the preferred guess), […]
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Moving on from yesterday's discussion about Rational Numbers, what about irrational numbers, numbers which cannot be written as a ratio of two integers? Most whole numbers have square roots which are irrational numbers, but not everything with a radical is irrational. The square root of a perfect square is perfectly rational. So how can you tell if a number is a perfect square without a calculator? One way is through prime factorization. (Remember those factor trees from a long time ago. […]
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Défi du calendrier mathématique 2015 : petit problème à résoudre…. - Défis du Calendrier Mathématique / Actualité
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geometricloci: Parametric curves
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nicholasgurewitch: “Loring’s First Principle” (PBF#267): http://www.pbfcomics.com/267/

### July 02, 2015

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Artificial life which can be programmed __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________Filed under: Uncategorized Tagged: artificial intelligence, artificial life, chemlambda
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I have been trying to firm up my feeling for the theory of clutters. To that end, I have been working through proofs of some elementary lemmas. For my future use, as much as anything else, I will post some … Continue reading →
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Music is the pleasure the human mind experiences from counting without being aware that it is counting.  ~Gottfried LeibnizThe 184th day of the year; 184 = 23 * 23 (concatenation of the first two primes).The smallest number that can be written as q * pq + r * p r, where p, q and r are distinct primes (184 = 3 * 23 + 5 * 25). *Prime CuriosJim Wilder ‏@wilderlab pointed out that, with a properly placed zero in between, 1084 is the smallest integer whose spelling, one thousand […]
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....or why rational choices ain't always so rational: Another lovely puzzle/paradox today from Greg Ross's "Futility Closet" volume. It's known as the "dollar auction" paradox created by economist Martin Schubik. The setup (I've adapted from Wikipedia): An auctioneer is to auction off a single dollar bill with the following rule: the bill goes to the highest bidder, AND the
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#mathsconf4 took place on Saturday 20th June in London and I was lucky enough to attend my second #mathsconf having been to the previous one in Birmingham. Check out my previous blog post on #mathsconf3 here.At #mathsconf4 I took part in 4 different sessions, each of which had their own things to share and I learnt a lot from each. I'll outline each of these below. However, before the first session we had the traditional 'speed dating' event. The event came with a lot more pressure this year - […]
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Buenas noches. Algo retrasado, os dejo mi entrada sobre la Deuda Griega. Espero que sea de vuestro agrado http://matesdedavid.blogspot.com.es/2015/06/la-deuda-griega.html
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I just wrapped up (knock on wood!) a coding project using R and Shiny. (Shiny, while way cool, is incidental to this post.) It was a favor for a friend, something she intends to use teaching an online course. Two of the tasks, while fairly mundane, generated code that was just barely obscure enough to be possibly worth sharing. It's straight R code, so you need not use (or have installed) Shiny to use it.The first task was to output, in tabular form, the coefficients of a linear regression […]
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Heiko Strathmann, Dino Sejdinovic, Samuel Livingstone, Zoltán Szabó, and Arthur Gretton arXived paper about Kamiltonian MCMC generated comments from Michael Betancourt, Dan Simpson and myself, which themselves induced the following reply by Heiko, detailed enough to deserve a post of its own. Adaptation and ergodicity. We certainly agree that the naive approach of using a […]
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JuliaCon, the annual gathering of the community focused on the Julia programming language, convened last week at MIT. I hung out there for a couple of days, learned a lot, and had a great time. I want to report back … Continue reading →
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via BigBlueBoo
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I’m a little late to this, but Igor Pak has a list of combinatorics videos (of lectures and seminars) and an explanation of why you should watch them, why you should let people make videos of you, and so on. … Continue reading →
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So far this summer I've seen quite a few changes...1. Hubby and I are buying a new house. It's only 3.7 miles away from our current one, but it's got more land and a huuuge garage for him to hide out in. And a place to put all his stuff.2. Which means we are getting the current house ready to sell. Kinda. I feel like I'm in limbo; we have so much stuff that we don't feel like we can list it with a realtor so I think we're going to wait until we're in the new house until we put this one up. And […]
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Hello friends! So at the beginning of this month I took a ten day trip back to the states for my friend Stephanie’s wedding I spent a few hours in Austin, then two days in Nashville with my mom, two … Continue reading →
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Pi day is celebrated on March 14 in all the countries that use the MM/DD/YYYY date format (ie, the USA). Pi Approximation day is celebrated in the rest of the world on July 22. I’m proposing today for another one: π continued fraction day. Like the 22/7 festival it doesn’t depend on using base 10, and like American Pi day it is extensible when the stars align correctly. The continued fraction expansion of π is$$\pi=3+\frac{1}{7+\frac{1}{15+\frac{1}{292+\frac{1}{1+\cdots}}}}$$Taking […]
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Re: Peirce List Discussion • Helmut Raulien The facts about relational reducibility are relatively easy to understand and I included links to relevant discussions in my earlier survey of relation theory. The following article discusses relational reducibility and irreducibility in … Continue reading →
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First sighting of a comment on a mathematical blog post that was inspired by seeing the content in my book...Jonathan Halabi writes jd2718. His post, Puzzle: Who am I?, became one of the puzzles in Playing with Math: Stories from Math Circles, Homeschoolers, and Passionate Teachers.Today Lara H replied to his post:I came across this puzzle in the book “Playing with Math.” I found a different solution based on a wrong assumption I made at the beginning of solving the puzzle. I was thinking […]
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Canada went through a bit of a panic recently when the PISA 2012 scores came out. [Source.] Oh no! Scores are dropping! There must be something done wrong, so it’s time to change policy: “If you look at what’s been happening, predominantly over the last decade, there’s been an unprecedented emphasis on discovery learning,” said […]
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Tunisia has been in the news for the wrong reasons. I sincerely hope that the people of this beautiful and hospitable country are not seriously harmed by the recent terrorist outrages. The best I can do to show my solidarity … Continue reading →
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When I read this blog post by Grace, and the comments that followed, I noticed some things… 1 -The wonderfully open, honest way in which Grace put herself out there and responded to each of the comments. 2 – The amount of incredibly thoughtful and thought-provoking comments. 3 – The community desire to have more […]
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Reference: Daniel V. Schroeder, An Introduction to Thermal Physics, (Addison-Wesley, 2000) – Problems 1.21 – 1.22. Here are a few examples of calculating the pressure on a surface due to the collisions of a number of molecules (or other small objects) with that surface. Example 1 For a macroscopic example, suppose there’s a hailstorm that […]
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Fish Shop Maths So many great ideas on mathssandpit.co.uk This is a lesson based around a chip shop and the order of operations. A great way to tap into conceptual understanding of the need for clarity and consistency with numbers.
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Think About Fraction {Poster and Cards} Poster/Anchor Chart with Cards for Students A anchor chart to put on your Math Vocabulary board to use as a reference. Along with cards to use as bookmarks for a quick reference. Also included is a 24inch x 36inch (poster size) JPEG […] Related Math Games: How Can I Multiply a Fraction = Poster/Anchor Chart with Cards for Students Fraction Multiplications = Poster/Anchor Chart with Cards for Students Fraction on a Number Line = Poster/Anchor […]
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