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# Posts

### March 09, 2014

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The quality of Wikipedia entries about mathematics is often quite good, but unfortunately the same cannot be said for their entries about physics. I happened to take a look today at the Wikipedia entry for Multiverse, which is an outrageously … Continue reading →
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I have proved that there is a bijection from the set to a certain subset of (which I call funcoidal reloids). See section (currently numbered 8.4) “Funcoidal reloids” in the preprint of my book.
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Source Transcript Kapitel 2 Dicke Teilmengen von $S$ Def: $T\subseteq S$ dick <=$\{ x^{-1}T : x\in S \}$ hat eDe Prop: Aeq: (a) $T$ dick; (b) \$\forall e \subseteq_e S \exists y \in S: ( y \in …
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Part One: The PlansTomorrow I start our third unit in calculus with an introduction to the chain rule. This deep into the semester, I have usually lost most of my creative energy, and don't find time to think this lesson out carefully. I'm teaching great groups of students this semester, which is helping keep my enthusiasm high. So today I'm planning my chain rule lesson.Describing CompositionFirst, some functions that we cannot find the derivatives for, because there's more than the variable […]
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Brussel  Sprouts - Numberphile Some brussel sprouts are good for you, others will teach you about topology and the Euler characteristic.
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In class last week my students and I started looking at evolutionary game theory (Chapters 11 and 12 of my class). One concept of evolutionary game theory that is important to understand is that in a sense the barrier between strategies and players becomes a bit fuzzy.To try and illustrate this in class I brought in 2 packs of cards. I actually ended up only using the cards as binary markers (whether or not they were facing 'UP' or 'DOWN'). I then proceeded to describe the following:"If an […]
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Have you ever thought that umpires are a bit too willing to call strikes when the count is 3-0?  Or, perhaps, you’ve noticed that umpires rarely call strikes when the count is 0-2?  In this very clear paper,  Etan Green … Continue reading →
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A mathematical romance. Professor Marcus du Sautoy describes how a passion for prime numbers united a Cambridge professor and an unknown Indian clerk. [...]
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I knew I shouldn't have solved this integral [...]
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We continue with §3. Application of the Algebraic Signs to Logic. The Signs for Multiplication (cont.) The sum generally denotes no logical term.  But may be considered as denoting some two ’s. It is natural to write:     and … Continue reading →
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In the past I’ve categorized Hipmunk as a really cool flight-finder that doesn’t actually work, as worse than Expedia, and as graphics without content. So, I thought it would be only fair to tell you that I bought a flight the other day using Hipmunk and it gave me the same flight as Expedia but […]The post Hipmunk worked appeared first on Statistical Modeling, Causal Inference, and Social Science.
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Here are my slides from BETT 2014. The general ideas are that: There is a brick wall of technology that gets in the way of learning.Many laptops or desktop computers used in schools are unreliable, the workflow for sharing and collaboration on them is tedious and, in many other ways, …Read more →
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A farmer is asking an engineer, a physicist and a mathematician to build the most efficient fence around his flock of sheep.  The engineer builds a square fence around the sheep and says "That's the best I can do".  The physicist wraps a fence around the equator and slowly shrinks it until it encounters the first sheep, then says "That's the best I can do".  The mathematician smirks and takes a meter-long [...]
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Originally posted on Reflections of a Second-career Math Teacher:With the end of the school year approaching, my first year of BTSA, otherwise known as the Beginning Teacher Support and Assessment induction program is officially over.  As noted on the BTSA…
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I don’t know when people exactly started using the awesome platform that is IPython to write full-fledged books, but this is one of those that you don’t want to miss. It’s basically a tutorial on Bayesian methods, using the PyMC package to explain several things like, What is probabilistic programming? How does Bayesian inference work? Why […]
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Ben Lillie: This week I finally realized what bugged me about the talk I was hearing about the science of science communication: Nothing. The issue is what I wasn’t hearing. This was catalyzed by a short news item Lauren Rugani linked on twitter. A scientist had run a study where they discovered that sometimes a […]
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Since we’re the leading authority on Alan Turing news stories, and since it’s clear that anything is improved by the addition of LASERS, we’re proud to report that the Manchester Histories Festival, taking place across Manchester on March 21-28, will include LASER ALAN TURING. The centrepiece of the festival will be a laser light show... Read more »
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Because it’s been a while since I posted a photo. The weather has not been cooperating recently, so instead here’s one from the archives.
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Alexi Onatski has a fine recent paper, "Asymptotic Analysis of the Squared Estimation Error in Misspecified Factor Models." There's also an Appendix.Four interesting cases have emerged in the literature, corresponding to two types of data-generating process (exact factor structure -- diagonal idiosyncratic covariance matrix vs. approximate factor structure -- non-diagonal idiosyncratic covariance matrix) and two modes of asymptotic analysis (strong factor structure vs. weak -- see […]
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This was the first time I have taught conics in my Algebra 2 class.  I loved creating a new unit, finding all the good stuff on the internet and putting it together.  Now, I will need to do the same for all the trig stuff.Anyways, I almost had too much for conics, but here are a few fun things we did with conics:When we did parabolas, the idea of focus and directrix was new, so we used waxed paper to create our own parabolas.  A quick and easy, yet powerful activity:When we […]
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Someone asked me recently, I have had great success with the Grade 4 Light Blue Series with my twin daughters and we have been breezing through the curriculum. ... For the most part, they get how to find the fractional part but we did have some trouble on problems 4 on page 59 Worktext 4-B and problem 7 on page 60 in Worktext 4-B. They have to do with finding the total number of something when you are given a fractional part. I had a hard time teaching the concept of "working backwards" and […]
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If you are looking for some problems to use for Mathematics Team Challenges in school or just for class activities with a difference which will help develop mathematical skills there are some excellent sources of materials. The United Kingdom Mathematics … Continue reading →
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Tien vragen kiezen uit een verzameling van meer dan 150 vragen, zonder herhaling? Dat is dan ook weer opgelost:function KenOpgavenToe(UserID)  dim vraagnummer, opgavenummer, error  FOR vraagnummer=1 to 10   opgavenummer=GeefOpgaveRandom(8376)   WHILE StaatInDeLijst(UserID, opgavenummer)    opgavenummer=GeefOpgaveRandom(8376)   WEND    error=ZetOpdrachtInDatabase(UserID, vraagnummer, opgavenummer)  […]
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Cantami, o diva di una dama che era stata rapita, ma che non era poi una dama, nel senso umano del termine, ma una mitica dama magica, in grado di moltiplicare il chicco di riso che viene posto sul primo dei suoi quadretti (un po' come la leggendaria scacchiera):Il nostro eroe, però, preso da collera fiera e tremenda, mandò in 64 pezzi sulla testa del rivale la preziosa dama. Per ripristinare il magico potere della dama, però, bisogna ricostruire la dama con la stessa disposizione originale […]
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In response to “an extraordinary outpouring of discussions on open data and its place in scientific publishing” following a February 24 announcement about a new data policy at PLOS, the publisher has apologized and corrected the record. The new policy — which was actually first announced on January 23, as we noted here — had […]
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I received the following email: Dear Colleague, Recently we informed you about SciRev, our new website where researchers can share their experiences with the peer review process and select an efficient journal for submitting their work. Since our start, we already received over 500 reviews and many positive reactions, which reveal a great need for […]The post Reviewing the peer review process? appeared first on Statistical Modeling, Causal Inference, and Social Science.
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32 = 9 * 14
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SERIES 6 INDEXThe Story So Far: The inhabitants of Fractal City have been teaching personified math about the nature of their existence. Very soon, a decision will be made as to whether the high school functions are reunited - or recycled.There was a pounding at the door. ParaB continued to throw her weight back against it, having jammed her chair under the doorknob. "Please," she said breathlessly to Hevvi. "If you don't reunite Signum and Maud, there may be no way for the rest of them to […]
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In "Changing Places" David Lodge describes "the humiliation game," where English professors have to list the most important book they've never read. The winner is the person for whom it is the most humiliating to admit s/he hasnt read the book s/he gives. In the novel, humiliation ends up generating...