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7:43 AM | Tattoo with endless staircase

Tattoo by Harry Ricardo
http://im-possible.info/english/art/misc/tattoo/index.html
Author - https://www.instagram.com/harryricardo/

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Andrew Casson’s invariant for homology 3-spheres
An exposition by John D McCarthy and Selman Akbulut

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Again, let be a group and a subgroup of . Then we can define a binary relation on elements of , called , as follows: if and only if there is some such that . That is, for any two … Continue reading →

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8:21 PM | Impossible Cube Pendant

Impossible Cube Pendant
by Joshua Stockwell
http://im-possible.info/english/art/applied_art/joshua-stockwell.html
Author - https://www.etsy.com/ru/shop/AuInspiredDesign

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6:00 PM | MaBloWriMo 26: Left cosets

Let be a group and a subgroup of . Then for each element we can define a left coset of by . That is, is the set we get by combining (on the left) with every element of . For … Continue reading →

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9:13 PM | TrekNotes

TrekNotes is a travel journal with a different image printed as the background of each page. The cover of each book is chosen by the customer, with a map of anywhere in the world.
The photographs are mine, and then I built up a small node.js app to run as the e-commerce site.

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7:52 PM | Monument Valley fan art

Monument Valley
by Eric Benacek
http://im-possible.info/english/art/misc/fan-art/eric-benacek.html
Author - http://www.erathic.com/

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7:24 PM | Don’t blame the maths teacher

Ok Shanghai, you’re great. We’re in awe. Your methods are indeed successful and I wish to God that all our maths teachers had subject knowledge like you guys do. But I seem to be having a memory lapse. I can’t for the life of me think about how maths teaching got to where it is … Continue reading →

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6:00 PM | MaBloWriMo 25: Subgroups

So in the remainder of the month, we’ll prove that in any group , the order of each element must evenly divide the order (size) of the group. I said in an earlier post that this is called Lagrange’s Theorem; … Continue reading →

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6:00 AM | Happy Thanksgiving 2015

(Click on the comic if you can't see the full image.) (C)Copyright 2015, C. Burke.It's actually 3 1/8 pecans because cutting 1/7 of a pecan is as impossible as cutting .141592... pecans. Actually, it's more likely that a pecan was split in half and then cut four more times to make 8 pieces, but they wouldn't exactly be actually pieces of eight. Happy Thanksgiving to you and yours! Come back often for more funny math and geeky comics.

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6:51 PM | MaBloWriMo 24: Bezout’s identity

A few days ago we made use of Bézout’s Identity, which states that if and have a greatest common divisor , then there exist integers and such that . For completeness, let’s prove it. Consider the set of all linear … Continue reading →

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6:30 PM | Fast image classifications in real-time

NeuralTalk2 uses neural networks to caption images quickly. To demonstrate, the video below shows a webcam feed that continuously updates with new image captions based on what the computer sees.…Tags: classification, images, neural networks

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8:12 AM | Thanksgiving flight patterns

Millions of Americans will fly home this Thanksgiving weekend. (Based on my morning commute, the holiday already started a couple of days early.) Josh Katz and Quoctrung Bui for the…Tags: flights, New York Times, Thanksgiving

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ibmblr:While the blueprints of nature have existed since… well… the beginning of time, the fractal math revealing these hidden patterns was only discovered in the 1970s. But that didn’t stop software designer and fractal enthusiast Ken Shirriff from bending time to generate a classic Mandelbrot fractal on a 50-year-old IBM 1401 mainframe. Running antique punch cards, Ken had to wait 12 long minutes for the heavy-duty scientific calculation job to complete, thanks to a 15-second CPU
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10:38 PM | xkcd: Hoverboard

//helloWorld(function(path) { return '/1608/' + path})//via xkcd.com at http://s.calchumor.com/1Nr2C5F [...]

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2:47 PM | MaBloWriMo 23: contradiction!

So, where are we? We assumed that is divisible by , but is not prime. We picked a divisor of and used it to define a group , and yesterday we showed that has order in . Today we’ll use … Continue reading →

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8:01 AM | Metadata surveillance investigation

Metadata can tell you a lot, and most of us agree that it's not “just metadata” at this point. The Share Lab shows what one can find, just using everyday…Tags: metadata, privacy

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10:28 PM | MaBloWriMo 22: the order of omega, part II

Yesterday, from the assumption that is divisible by , we deduced the equations and which hold in the group . So what do these tell us about the order of ? Well, first of all, the second equation tells us … Continue reading →

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8:15 PM | Sketches of tattoos

Sketches by anitpop0
http://im-possible.info/english/art/pencil/antipop0.html

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5:00 PM | Hungry Thanksgiving

Above is a map from Five-Thirty-Eight's survey of Thanksgiving eating traditions nationwide. It shows the most disproportionately common Thanksgiving side dish by region. I grew up in Florida, but we never got on the mac and cheese Thanksgiving bandwagon. Likewise, living now in Maryland, squash doesn't make it on our plates. Our family seems to match the midwest more, with green bean casserole and rolls (not biscuits). And for dessert we are looking forward to pumpkin, pecan, and apple pie. […]

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It's true. Sometimes it's okay for the y-axis to start at a non-zero value, which is why Johnny Harris and Matthew Yglesias for Vox tell people to shut up about…Tags: baseline, Vox

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6:00 AM | The Negative One

(Click on the comic if you can't see the full image.) (C)Copyright 2015, C. Burke.Any time there is a group of Adventurers, they'll be sure to find The Negative One in their midst. Good chance that I used a similar joke to this before. But I like the Picaroons. The more of them, the better! Come back often for more funny math and geeky comics.

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7:37 PM | Impossible T

Impossible T
by traceeaaa
http://im-possible.info/english/art/various/traceeaaa.html
Author - https://www.instagram.com/traceeaaa/

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Now we’re going to figure out the order of in the group . Remember that we started by assuming that passed the Lucas-Lehmer test, that is, that is divisible by . Remember that we also showed for all . In … Continue reading →

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7:34 AM | Circle Theorems Worksheet

24 circle theorem questions. Some are pretty tough. Answers also included. circle theorems

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Aaron Burr: Alexander joins forces with James Madison and John Jay to write a series of essays defending the new United States Constitution, entitled The Federalist Papers. The plan was to write a total of twenty-five essays, the work divided evenly among the three men.
me: But… twenty-five doesn’t divide evenly by three…

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di diffusione della scienza e rivoluzioni cc @aubreymcfato @CristianCantoro Utilizzare i dati sulle citazioni in Wikipedia per misurare la diffusione dell'open accessScrivevo all'inizio del 2011 per i festeggiamenti del wiki-decennale di una rivoluzione irreversibile. E' stato piuttosto interessante leggere il titolo che technology review ha utilizzato per raccontare dell'ultimo degli articoli dedicati all'enciclopedia libera: Why Wikipedia + Open Access = Revolution.L'idea degli autori, Misha
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Nielsen, F. (2007). Scientific citations in Wikipedia, First Monday, 12 (8) DOI: 10.5210/fm.v12i8.1997

Heather Ford, Shilad Sen, David R. Musicant & Nathaniel Miller (2013). Getting to the source: where does Wikipedia get its information from?, Proceedings of the 9th International Symposium on Open Collaboration, DOI: 10.1145/2491055.2491064

Misha Teplitskiy, Grace Lu & Eamon Duede (2015). Amplifying the Impact of Open Access: Wikipedia and the Diffusion of Science, Wikipedia Workshop at 9th International Conference on Web and Social Media (ICWSM), arXiv: 1506.07608v1

Citation

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After (or before?) @StartsWithABang's balloon animals' post? A couple of week ago Ethan Siegel published a post about ballon animals, so I decide to repost an old piece that I wrote in 2011 for my italian blog: the english version is lost, but it is magically reposted here! Two one-balloon constructions and their associated graphsI recently discovered this interesting site, vihart. In the site there are some interesting paper and today I want to write something about Computational Balloon
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Demaine E.D., Demaine M.L. & Hart V. (2008). Computational balloon twisting: The theory of balloon polyhedra., Proceedings of the 20th Canadian Conference on Computational Geometry (CCCG2008), 139-142.

Bryś K. & Lonc Z. (2009). Polynomial cases of graph decomposition: A complete solution of Holyer's problem, Discrete Mathematics, 309 (6) 1294-1326. DOI: 10.1016/j.disc.2008.01.054

Citation

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Supponiamo di doverci confrontare con un animale, ad esempio un cane o un lupo (o più in generale con un animale, addomesticato o selvaggio). Secondo Konrad Lorenz il comportamento aggressivo di un cane viene influenzato da due stati d'animo differenti: l'ira e la paura.Si può allora provare a prevedere il comportamento del cane in funzione di quale dei due stati domina: nel caso in cui l'animale è dominato da paura o da ira, proporre una previsione è abbastanza semplice; nel caso in cui il […]

Zeeman E.C. (1976). Catastrophe Theory, Scientific American, 234 65-83. DOI: 10.1038/scientificamerican0476-65

Jean Petitot (2013). Complexity and self-organization in Turing, The Legacy of A.M. Turing, (E. Agazzi, ed.), Franco Angeli, Milano, 149-182. arXiv: 1502.05328v1

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Non prevedevo di scrivere la versione italiana di un post sull'ultima news proveniente dal RHIC, ma mi è stato gentilmente chiesto, e provvedo ben volentieri. Inizio, però, con un piccolo cappello, alla fine del quale saprete che c'è anche un piccolissimo pezzetto (il doppio diminutivo è perché i firmatari del papero su arXiv sono veramente tanti) d'Italia in questa interessante scoperta.Tutto nasce da un post, nel flusso twittero, di Annalisa Arci, in cui racconta, in maniera e con un […]

Belavina A.A., Polyakova A.M., Schwartza A.S. & Tyupkina Y.S. (1975). Pseudoparticle solutions of the Yang-Mills equations, Physics Letters B, 59 (1) 85-87. DOI: 10.1016/0370-2693(75)90163-X

Hooft G.'. (1976). Symmetry Breaking through Bell-Jackiw Anomalies, Physical Review Letters, 37 (8) DOI: 10.1103/PhysRevLett.37.8

Hooft G.'. (1976). Computation of the quantum effects due to a four-dimensional pseudoparticle, Physical Review D, 14 DOI: 10.1103/PhysRevD.14.3432

Fukushima K., Kharzeev D.E. & Warringa H.J. (2008). The Chiral Magnetic Effect, Physics Review D, 78 (7) DOI: 10.1103/PhysRevD.78.074033

Kharzeev D.E. & Yee H.U. (2011). Chiral Magnetic Wave, Physical Review D, 83 DOI: 10.1103/PhysRevD.83.085007

STAR Collaboration (2015). Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions, arXiv, arXiv: 1504.02175v2

Citation

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A new clue about the #quarkgluonplasma from @RHIC_STAR at @BrookhavenLabWithin the particles that constitute atomic nuclei, protons and neutrons, there are the quarks, the elementary particles with fractional charges, linked to each other thanks to the gluons, bosons that carry the nuclear interaction. Thanks to the gluons it is impossible to observe, at present, free quarks, but it is expected that in the very first stage of the universe, matter was in a state called quark-gluon plasma. Thanks […]

Belavina A.A., Polyakova A.M., Schwartza A.S. & Tyupkina Y.S. (1975). Pseudoparticle solutions of the Yang-Mills equations, Physics Letters B, 59 (1) 85-87. DOI: 10.1016/0370-2693(75)90163-X

Hooft G.'. (1976). Symmetry Breaking through Bell-Jackiw Anomalies, Physical Review Letters, 37 (8) DOI: 10.1103/PhysRevLett.37.8

Hooft G.'. (1976). Computation of the quantum effects due to a four-dimensional pseudoparticle, Physical Review D, 14 DOI: 10.1103/PhysRevD.14.3432

Fukushima K., Kharzeev D.E. & Warringa H.J. (2008). The Chiral Magnetic Effect, Physics Review D, 78 (7) DOI: 10.1103/PhysRevD.78.074033

Kharzeev D.E. & Yee H.U. (2011). Chiral Magnetic Wave, Physical Review D, 83 DOI: 10.1103/PhysRevD.83.085007

STAR Collaboration (2015). Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions, arXiv: 1504.02175v2

Citation

rmathematicus tweeted: @rmathematicus

Hey everybody I've got that NYRB article I wanted including access from the NYRB themselves ;)) So stop the RTs

2015-11-29 19:14:18

evelynjlamb tweeted: @evelynjlamb

2015-11-29 19:11:07

rmathematicus tweeted: @rmathematicus

RT @stevesilberman: #NeuroTribes has been named one of Best Books of 2015 by @nytimes, @guardian, @standardnews, and @Independent. Yay! htt…

2015-11-29 19:01:12

gaussianos tweeted: @gaussianos

La vida mediante una integral definida - #AntologíaGaussiana https://t.co/evZiNAfJm6

2015-11-29 19:00:00

ulaulaman tweeted: @ulaulaman

2015-11-29 18:53:02

rmathematicus tweeted: @rmathematicus

RT @PublicDomainRev: New T-Shirt up on our online shop - "Kircher's Music of the Birds". More info here: https://t.co/Mlbwfd5hOu https://t.…

2015-11-29 18:51:10

rmathematicus tweeted: @rmathematicus

RT @stevesilberman: I'll be giving free talks on #NeuroTribes in Northfield IL and L.A. this week. (L.A. event req. RSVP.) Come on down! ht…

2015-11-29 18:50:53

rmathematicus tweeted: @rmathematicus

RT @AJWrightMLS: Today's Find: 1851 news item "Mysterious Poison" https://t.co/dITH6t6fSl "The curare is a violent poison..." #histmed

2015-11-29 18:49:52

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