Mathblogging.orgRecent Postshttp://www.mathblogging.org/scripts/feed.php2014-12-20T23:45:17-05:00No copyright asserted over individual posts; see original posts for copyright and/or licensing.Mathblogging.org Atom serializerThe Erdos-Ulam problem, varieties of general type, and the Bombieri-Lang conjecturehttp://www.mathblogging.org/post/1070982014-12-20T15:28:05-05:00Terence TaoIn 1946, Ulam, in response to a theorem of Anning and Erdös, posed the following problem: Problem 1 (Erdös-Ulam problem) Let be a set such that the distance between any two points in is rational. Is it true that cannot be (topologically) dense in ? The paper of Anning and Erdös addressed the case that […]Electric Warriorhttp://www.mathblogging.org/post/1070992014-12-20T15:15:00-05:00Vlad AlexeevComic book cover Electric Warrior, N11
http://im-possible.info/english/art/covers/magazine-electric-warrior.html
Técnicas de dibujohttp://www.mathblogging.org/post/1070972014-12-20T15:00:24-05:00notematesUn esquema bien clasificado y ordenado sobre modos de dibujar, que no me resisto a publicar. A simple slideshow showcasing some line drawing techniques with a focus on the work of Vincent Van Gogh & Albrecht Durer. en presentación linedrawingthecniques. http://curkovicartunits.pbworks.com/w/page/11306896/%22Make%20You%20Mark%22%20-%20Line%20Drawings … Sigue leyendo →Frescobaldi Castello di Nipozzano Montesodihttp://www.mathblogging.org/post/1070962014-12-20T14:20:32-05:00xi'anFiled under: Wines Tagged: Chianti Rufina, Firenze, Frescobaldi Castello di Nipozzano Montesodi, Italia, Marchesi de' Frescobaldi, Montesodi, TuscanyOn the Partition Principlehttp://www.mathblogging.org/post/1070952014-12-20T13:45:25-05:00Asaf KaragilaLast Wednesday I gave a talk about the Partition Principle in our students seminar. This talk covered the historical background of the oldest open problem in set theory, and two proofs that for a long time I avoided learning. I promised to post a summary of the talk here. So here it is. The historical […]Gevonden voorwerpenhttp://www.mathblogging.org/post/1070942014-12-20T12:56:00-05:00Willem van Ravenstein\( \eqalign{ & 4\sqrt {4 - p} - \frac{1} {3}\left( {\sqrt {4 - p} } \right)^3 - p\sqrt {4 - p} = \frac{8} {3} \cr & Neem\,\,q = \sqrt {4 - p} \cr & Er\,\,geldt:p = 4 - q^2 \cr & 4q - \frac{1} {3}q^3 - \left( {4 - q^2 } \right) \cdot q = \frac{8} {3} \cr & 4q - \frac{1} {3}q^3 - 4q + q^3 = \frac{8} {3} \cr & \frac{2} {3}q^3 = \frac{8} {3} \cr & 2q^3 = 8 \cr & q^3 = 4 \cr & q = \root 3 \of 4 \cr & p = 4 - \left( {\root 3 \of 4 } \right)^2 = 4 - […]An IPython notebook on the linear perceptronhttp://www.mathblogging.org/post/1070922014-12-20T11:46:23-05:00KonstantinosJust mirroring a post from the other blog. Here is an IPython notebook with an implementation of the linear percepton algorithm. Details will follow in another post and I give a general idea of what it does in the notebook but here is what the picture looks like. Assuming that you have a set of […]无状元老师, 有状元学生http://www.mathblogging.org/post/1070932014-12-20T11:45:32-05:00tomcircleOriginally posted on Chinoiseries 《汉瀚》:<br />从来没有状元的老师, 却能培养出状元学生。中国历史的状元, 都是在科举失败的穷秀才教导出来的。看今日的Fields Medalists / Nobel Prize winners, 他们的指导教授多数没拿过这大奖。 法国有两位世界级的数学大师Evariste Galois, Charles Hermite, 相隔15年,同是一位中学数学老师培养。Mr. Richard 是巴黎路易大帝中学(Lycée Louis Le Grand) 的数学老师, […]Life cycle of Starshttp://www.mathblogging.org/post/1070912014-12-20T11:44:49-05:00Rupam PhukanSun, the brightest object of our solar system, is the primary energy source of our life, in fact for any living organism. Sun is considered to be the central object of our solar system that holds all the planets and their moons together. The day begins with beautiful sunshine and ends with reddish sky atSaturday Morning Videos : Spectral Algorithms: From Theory to Practice (Simons Institute @ Berkeley)http://www.mathblogging.org/post/1070902014-12-20T11:28:00-05:00Igor I will also come back to some of the videos and slides of this workshop on Spectral Algorithms: From Theory to Practice organized at the Simons Institute at Berkeley. But in the meantime here are the links to pages that generally feature both the slides and the videos (and sometimes none of the two). <br /> Topic Modeling: A Provable Spectral Method, Ravi Kannan, Microsoft Research India Exact Recovery via Convex Relaxations, Moses Charikar, Princeton University The Impact
[…]Final Look at 2014: School, Science and Educationhttp://www.mathblogging.org/post/1070862014-12-20T11:06:18-05:00UnknownSingapore made world cup history this year, well sort of. In probably the most embarrassing way possible. Before the kickoffs in June, the National Council for Problem Gambling (with the best of intentions no doubt) developed this advertisement to dissuade hardcore punters from squandering all their money away:<br /><br />Then in the finals, German striker Mario Gotze made Argentinian fans weep with a single extra-time goal, and the boy's dad rich beyond his wildest dreams. So gambling does pay off
[…]On This Very Page.......http://www.mathblogging.org/post/1070872014-12-20T11:03:42-05:00UnknownMany a time less is more, hence I shall keep the introductions real<br />short and sweet.<br /><br /><br />WELCOME.<br /><br /><br />"Everything should be made as simple as possible, but not simpler."-Albert EinsteinAsimov’s Guide to Creative Thinkinghttp://www.mathblogging.org/post/1070882014-12-20T11:02:01-05:00mathscinotesI just read an interesting article written by Isaac Asimov (Figure 1) on the creative process. The article was previously unpublished, but has many ideas in common with the ideation folks today. I saw a well-done list that summarizes Asimov’s … Continue reading →Trig Curve Sketchinghttp://www.mathblogging.org/post/1070892014-12-20T11:00:00-05:00Jonathan ClaydonPreviously, my Pre Cal students were messing around with the graphs of sine and cosine. Some common errors rose to the surface. The assessment that came a couple days later revealed that students were having trouble calculating periods and getting the subtle details of cosine correct. To top it off, now I'm throwing tangent graphs at them and they just found it weird.Luckily, Frank says it best.That moment when you read an email/blog post in the morning and decide to change everything before
[…]The Twelve Days of Christmas (Reprise)http://www.mathblogging.org/post/1070852014-12-20T10:28:00-05:00(x, why?)(Click on the comic if you can't see the full image.)<br /> (C)Copyright 2014, C. Burke.Expressing my True Love mathematically and recursively. This comic calls to mind my Twelve Triangle Numbers of Christmas from way back in 2007. Once again, I used pseudo-code here, and not any particular programming language. I wouldn't program it exactly like this, but I wanted it to be readable. As for the summations, those actually caused me some problems -- or at least a bit of thought about how they
[…]Solving Integral Equations (4) : Integral Equations into Differential Equationshttp://www.mathblogging.org/post/1070842014-12-20T10:00:24-05:00Gaurav TiwariIntroduction In earlier parts we discussed about the basics of integral equations and how they can be derived from ordinary differential equations. In second part, we also solved a linear integral equation using trial method. Now we are in a situation from […]
Visit the original post Solving Integral Equations (4) : Integral Equations into Differential Equations for the best experience of reading!Sokal: “science is not merely a bag of clever tricks . . . Rather, the natural sciences are nothing more or less than one particular application — albeit an unusually successful one — of a more general rationalist worldview”http://www.mathblogging.org/post/1070832014-12-20T09:53:25-05:00AndrewAlan Sokal writes: We know perfectly well that our politicians (or at least some of them) lie to us; we take it for granted; we are inured to it. And that may be precisely the problem. Perhaps we have become so inured to political lies — so hard-headedly cynical — that we have lost our […]
The post Sokal: “science is not merely a bag of clever tricks . . . Rather, the natural sciences are nothing more or less than one particular application — albeit an unusually successful
[…]Weekend reads: Authorship for sale, STAP stem cell scandal finally over?http://www.mathblogging.org/post/1070812014-12-20T09:30:24-05:00Ivan OranskyThis was a week of stem cell retractions, fake peer reviews, legal threats, and we announced that we’ve been awarded a $400,000 grant from the MacArthur Foundation. Here’s what was happening elsewhere: Want to be an author on a paper? Just write a check. Is the STAP stem cell mess over? Haruko Obokata was unable […]The post Weekend reads: Authorship for sale, STAP stem cell scandal finally over? appeared first on Retraction Watch.The Girl Who Loved Triangleshttp://www.mathblogging.org/post/1070802014-12-20T09:02:00-05:00JoAnne Growney I found this poem by Michigan poet Jackie Bartley when I was browsing old issues of albatross (edited by Richard Smyth) and she has give me permission to post it here. Like Guillevic (see, for example, this earlier post), Bartley has found personalities in geometric figures.<br /><br />To the Girl Who Loved Triangles by Jackie Bartley<br /><br /> Triangulation: Technique for establishing the distance
[…]Cubes in a Dodecahedronhttp://www.mathblogging.org/post/1070792014-12-20T08:47:55-05:00mjlawlerA couple of weeks ago we did a fun project with our Zometool set showing how that you can put a cube inside of a dodecahedron: A 3D Geometry Project for kids inspired by Kip Thorne One of the neat bits of geometry associated with this project is that there are actually five different cubes…12/20/14http://www.mathblogging.org/post/1070762014-12-20T08:30:34-05:00Unknown12 * (2 + 0) = 1 * 4!
Also:
1 + 2 + 2 + 0 = 1 + 4
Also:
1 + 2 - 2 + 0 = 1^4
Also:
1 * 2 * 2 = (0 + 1) * 4Area/Perimeter – My homework over vacationhttp://www.mathblogging.org/post/1070772014-12-20T08:22:48-05:00mathmindsblogIt is always fun when I can look back at my past blog posts, see what I learned from a lesson, and reflect on student reasonings before I teach that same lesson again. This past week we were working on this lesson from last year: http://mathmindsblog.wordpress.com/2014/01/27/area-and-perimeter-of-squares-student-noticings/. The lesson unfolded in much the same way, with […]Rückblick und Ausblickhttp://www.mathblogging.org/post/1070782014-12-20T08:12:29-05:00Jan-Martin KlingeNachdem der Anfang des Schuljahres mit meiner Klasse sehr schön, aber auch wirklich anstrengend war, hat sich das Geschehen nach den Herbstferien deutlich entspannt. In der 7. Klasse ist die Spannweite zwischen hochgradig und noch nicht pubertierenden Kindern enorm groß. Die Synapsen der Kinder feuern in alle Richtungen und es … Continue reading → Help Needed – Algebra 2 Factoring Review?http://www.mathblogging.org/post/1070752014-12-20T08:03:18-05:00I Speak MathHelp needed! I have quickly learned (the hard way) this year that Algebra 2 students need mini “refresher courses” of Algebra 1 before plunging into more advanced material. I gave my students a pretest and many of them also need … Continue reading →동작역 탐방 – 반포한강시민공원에서 바라본 동부이촌동 야경http://www.mathblogging.org/post/1070822014-12-20T07:58:46-05:00Leun Kim이번 금요일 동작역을 탐방했다. 매번 4호선을 타고 강남쪽으로 넘어갈 때 마다 동작대교를 지나가는데.. 나중에 꼭 카메라 들고 와 봐야지~ 했는데 이제서야 방문.   동작역 근처 반포한강시민공원에서 바라본 동부이촌동 야경이다. 오른쪽에 남산타워까지 보이는데 뭔가 방해되는 공사중인 높은 건물이 가로막고 있어서 남산타워는 … Continue reading →Related Posts ?[M2
[…]Aunt Pythia’s advicehttp://www.mathblogging.org/post/1070742014-12-20T07:39:56-05:00Cathy O'Neil, mathbabeHere’s the thing, peoples. I love you – I really do, each and every one of you, except the douchey trolls – but, holy crap, peoples! Where are the sex questions?! Have I been unclear? Have I been beating around the sex question bush? I think not. I think I have been more than forthright […]Saturday Morning Videos : Semidefinite Optimization, Approximation and Applications (Simons Institute @ Berkeley)http://www.mathblogging.org/post/1070722014-12-20T07:05:00-05:00Igor I will come back to some of the videos and slides of this workshop on Semidefinite Optimization, Approximation and Applications organized at the Simons Institute at Berkeley (is Simons in the audience ? ). But in the meantime here are the links to pages that generally features both the slides and the videos (and sometimes none of the two). <br /> <br />Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints Benjamin Recht, UC Berkeley Adventures in Linear Algebra++ and
[…]Christmas in hospitalhttp://www.mathblogging.org/post/1070732014-12-20T06:49:00-05:00Robert WaltersWeihnachtsrätsel – die Lösungenhttp://www.mathblogging.org/post/1070712014-12-20T05:16:04-05:00ThiloHier die Auflösung des Weihnachtsrätsels. Teil I Aufgabe 1 Wieviele Dreiecke sind im Bild? Lösung: Es sind 27 Dreiecke: 20 mit der Spitze nach oben, 7 mit der Spitze nach unten. Aufgabe 2 Finde alle natürlichen Zahlen , welche die folgende Gleichung erfüllen: Lösung: Weil der Kosinus zwischen 0 und pi/2 monoton fallend ist, kann…Ada and the first computer programhttp://www.mathblogging.org/post/1070702014-12-20T05:10:55-05:00EditorsWikipedia describes the origin of “the notes” which included the first “program” as follows In 1842, Babbage was invited to give a seminar at the University of Turin about his Analytical Engine. Luigi Menabrea, a young Italian engineer, and future … Continue reading →