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Editors' Picks

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Understanding Math v. Explaining Answers
Katharine Beals and Barry Garelick argue that students shouldn’t have to explain their answers in math class: Is it really the case that the non-linguistically inclined student who progresses through math with correct but unexplained answers—from multi-digit arithmetic through to multi-variable calculus—doesn’t understand the underlying math? Or that the mathematician with the Asperger’s personality, doing […]
dy/dan -- less helpful
Teaching/Education
1
Editor's Pick
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Theorists Draw Closer to Perfect Coloring
A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof.
Quanta Magazine » mathematics
Journalism
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Editor's Pick
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Four Tribes of Mathematicians
Read about different motivations for doing mathematics.
n-Category Café
Pure Mathematics
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Editor's Pick
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Guest post: Sequence Numbers
This is a guest post, sent in by David, who’s discovered an interesting property of numbers, and is looking for collaborators to take it further. Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that... Read more »
The Aperiodical
Journalism | Recreational, Humor, Puzzles
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Editor's Pick
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Letter to a calculus student – The Sequel
Western Washington University, in Bellingham, WADevlin’s Angle for July 2006 was titled Letter to a calculus student. In it, I tried to describe, as briefly but as effectively as I could, the deep beauty there is in calculus, a beauty that arises from the depth of human brilliance that it took for the human mind to find a way to tame the infinite, and bend it to our use, a beauty made the more so by the enormous impact calculus has had on life on Earth.In my essay, I acknowledged […]
Devlin's Angle
Applied Mathematics
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Editor's Pick
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Posts with Citations

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Wikipedia, la scienza e l'open access
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 […]

Nielsen, F. (2007). Scientific citations in Wikipedia, First Monday, 12 (8) DOI:

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:

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:

dropsea
Teaching/Education | Research
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Balloon, art and mathematics
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 […]

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:

Doc Madhattan
Research
Citation
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Piani catastrofici
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:

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

dropsea
Teaching/Education | Research
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La chiralità alla base dell'universo
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:

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

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

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

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

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

dropsea
Teaching/Education | Research
Citation
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The chirality at the beginning of the universe
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:

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

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

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

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

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

Doc Madhattan
Research
Citation
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The fifth shot of a tau neutrino
http://t.co/urnbKwoiSY by @ulaulaman about #neutrino #tau #Opera #particlephysics From the press release: The OPERA (Oscillation Project with Emulsion-tRacking Apparatus) international experiment at the National Institute for Nuclear Physics (INFN) Gran Sasso Laboratory (Italy) has detected the fifth occurrence of a tau neutrino. The neutrino started its flight at CERN as muon neutrino and, after traveling 730 km through the Earth, it arrived at Gran Sasso Laboratories showing up as a tau […]

DONUT Collaboration (2001). Observation of Tau Neutrino Interactions, Physics Letters B, 504 (3) 218-224. DOI:

OPERA Collaboration (2014). Observation of tau neutrino appearance in the CNGS beam with the OPERA experiment, Progress of Theoretical and Experimental Physics, 101C01 DOI:

Doc Madhattan
Research
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Math education: calculus in South Korea and the Rubik's cube
#abstract from #arXiv via @ulaulaman A couple of mathematical abstracts from arXiv: N. Karjanto (2015). Calculus teaching and learning in South Korea Jurnal Matematika Integratif 9(2): 179-193, 2013 arXiv: 1504.07803v1This article discusses an experience of teaching Calculus classes for the freshmen students enrolled at Sungkyunkwan University, one of the private universities in South Korea. The teaching and learning approach is a balance combination between the teacher-oriented traditional […]

N. Karjanto (2015). Calculus teaching and learning in South Korea, Jurnal Matematika Integratif 9(2): 179-193, 2013, arXiv:

Sandor Kiss (2015). Educational Challenges of Rubik's Cube, X Workshop on Particle Correlations and Femtoscopy, arXiv:

Doc Madhattan
Research
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Un poker per tre
Come scrivono i Rudi Mathematici, "John Forbes Nash se n'è andato". C'è poco da dire in situazioni del genere, se non provare a scrivere, magari della sua matematica. Ho provato a farlo in modi piuttosto indiretti, lo faccio oggi in un modo un po' più diretto.Uno dei risultati più importanti di John Nash è la scoperta dell'esistenza degli equilibri che portano il suo nome all'interno dei giochi non collaborativi. La teoria di base su questo genere di giochi prende le mosse da due suoi […]

Nash, J. (1950). Equilibrium points in n-person games, Proceedings of the National Academy of Sciences, 36 (1) 48-49. DOI:

Nash J. (1951). Non-Cooperative Games, The Annals of Mathematics, 54 (2) 286-295. DOI:

dropsea
Teaching/Education | Research
Citation
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Inge Lehmann: the core of the Earth
http://t.co/gCOlKccELA about #IngeLehmann #EarthCore #theCore #geophysics Inge Lehmann was a Danish seismologist and geophysicist. Using seismic data, she discovered the inner solid core of the Earth with some physical properties distinct from the outer liquid core: No rays emerged at epicentral distances between 112° and 154°. I then placed a smaller core inside the first core and let the velocity in it be larger so that a reflection would occur when the rays through the larger core met it. […]

Lehmann, I. (1987). Seismology in the days of old, Eos, Transactions American Geophysical Union, 68 (3) 33. DOI:

Bolt, B. (1994). Inge Lehmann, Physics Today, 47 (1) 61. DOI:

Doc Madhattan
Research
Citation
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Storia e gloria di un numero uno
Stupiti che 1 non sia primo? Scopriamo insieme perché è "solo" l'unità!Abbiamo già visto come, partendo dai numeri primi, si possa sviluppare un discorso più o meno approfondito sulle fondamenta matematiche. Altrettanto fondamentale, però, si rivela provare a rispondere alla domanda su quale sia il numero primo più piccolo. E', infatti, abbastanza noto come il numero 1 sia stato ora inserito ora escluso dalla lista dei numeri primi, ottenendo in alcuni casi lo status di più piccolo tra […]

Agargun A.G. & Fletcher C.R. (1997). The Fundamental Theorem of Arithmetic Dissected, The Mathematical Gazette, 81 (490) 53-57. DOI:

Crandall R. & Pomerance C.B. (2005). Primes!, Prime Numbers, Prime numbers: a computational perspective 1-82. DOI:

Caldwell C.K. & Xiong Y. (2012). What is the smallest prime?, Journal of Integer Sequences, 15 arXiv:

dropsea
Teaching/Education | Research
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