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3:27 PM | A Mathematical Eye on Portland

MAA MathFest 2014 will be held August 6-9, 2014, in
Portland, Oregon, bringing together more than 1,500 mathematicians. Known for
its riverfront scenery, culinary delights, and cool vibe, the city also has a
lively art and architecture scene. And you can find lots of examples of
embedded mathematics, from the parabolic arcs of the city's fountains to the
geometric intensity of its bridges.

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Welcome to this week’s Math Munch! Recently I attended a conference in memory of Bill Thurston. Bill was one of the most imaginative and influential mathematicians of the second half of the twentieth century. He worked with many mathematicians on projects and had many students before he passed away in the fall of 2012 at the age […]

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1:00 PM | Random Victories

Your team's victory was just a fluke, an anomaly of small sample size! Continue reading →

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11:15 AM | A Few Women of Science...

Sadly, two years ago today, Sally Ride left us at the all-too-young age of 61. I wrote a brief bit about her one week ago. Her organization for young people, "Sally Ride Science" is here. Lynn Sherr's biography of her came out a little over a month ago. And here's a 1984 PBS Nova clip of Sally as the inspiring, professional, enthusiastic scientist she was: Meanwhile, this week, Jim Al-Khalili's last seasonal BBC broadcast of "The Life Scientific" (which gets rave reviews) was with
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(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.They call him The Count because he loves that old cloak thingy he wears. You might remember the Count from one of his previous appearances.

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3:57 AM | New YouTube Video – Square In Your Head The Numbers 34, 334, 3334, etc. and 67, 667, 6667, etc

This is a really useless formula that I came across but amusing nonetheless. Square In Your Head The Numbers 34, 334, 3334, etc. and 67, 667, 6667, etc Here is a video explaining the proof of the formulas. Proof of the formula Actually there is an interesting reason I came across this. In 1985, Donald […]

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What is Graham’s Number? (feat Ron Graham)
Graham’s number explained by none other than the man who first imagined this unimaginably big number, Ron Graham. Make sure to also watch the companion video How Big is Graham’s Number?

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12:45 PM | "Mathematics is like oxygen. If it is there, you do not notice it. If it would not be there, you..."

“Mathematics is like oxygen. If it is there, you do not notice it. If it would not be there,...

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11:15 AM | 2 Requests: Kickstarter + a Survey... and

1) An emailer asks me to lend support for a kickstarter project (documentary) of some independent NY filmmakers, focused on Erdös-Bacon numbers and networks.https://www.kickstarter.com/projects/395786474/erdos-baconNot sure how much general interest there is for such topics. But Simon Singh did cover them interestingly over a few pages in his popular book on The Simpsons last year. People have had fun with the 'six degrees of Kevin Bacon" as a parlour game for several decades, and of […]

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9:58 AM | Maths movie round up

You wait and wait for a movie about a mathematical genius, and then three come at once. I’ve got Turing, I’ve got Ramanujan, I’ve got Erdős. The Imitation Game The Imitation Game is an Alan Turing biopic, starring Benedict Cumberbatch and Keira Knightley. It’s out in November, but this trailer has just been released. The Man Who... Read more »

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Today we commemorate a historic moment in auction theory. Twenty years ago, on July 25, 1994, the United States FCC began the first round of a new kind of auction based on suggestions of Paul Milgrom, Robert Wilson, and Paul McAfee. The spectrum auctions raised more than $10 billion and has been called the greatest […]

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The brachistochrone
This animation is about one of the most significant problems in the history of mathematics: the brachistochrone challenge.
If a ball is to roll down a ramp which connects two points, what must be the shape of the ramp’s curve be, such that the descent time is a minimum?
Intuition says that it should be a straight line. That would minimize the distance, but the minimum time happens when the ramp curve is the one shown: a cycloid.
Johann Bernoulli posed the problem to
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I know more than a few adults who would benefit from this swing.

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The Imitation Game - Official UK Teaser Trailer
Trailer for The Imitation Game, an upcoming film starring Benedict Cumberbatch and Keira Knightley based on Alan Turing’s time at Bletchley Park cracking the German Enigma code.

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2:57 PM | Coming Soon: More New Math TV

(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.And wait until you see the New Five! He's like the old Five, but new.

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1:00 PM | The Voldemort of Calculus Classes

16B is merely Franken-calculus, stitched together from the corpses of actual classes. Continue reading →

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12:30 PM | 7/21/14

7 = 2 + 1 + (1 * 4)
7 - 2 = (1 * 1) + 4
Also:
7 = 21 - 14
Also:
First three multiples of 7 (not in order)

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11:15 AM | Li'l Game From Martin Gardner

1... 2... 3... 4... 5... 6... 7... 8... 9 A nice old Martin Gardner puzzle to start the week, which he titled "Fifteen Finesse" in his slim "Aha!" volume (I've adapted it, though still using the same example he used):There is a new carnival game in town called "Fifteen." It involves a board with the numbers 1 through 9 laid out in […]

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Course Guidance, Johns Hopkins University Math Department - click for "What is Linear Algebra" etcBecause seeing the forest sometimes helps you see the trees. I spent a couple of hours on such summaries and also on several related wikipedia entries (the field, its applications, its origins) as well as mathworld/mathematica entries. Getting a panoramic scope of the math helps. In this case, the histories and human stories - Euler, Gauss, Riemann, ...; the connections to the […]

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Awesome video by ViHart on why transcendental numbers dominate the real number line.

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matthewmaddux:
What is Random?
enjoy!
[source: Dirk Morrison]
Make sure to watch the companion video by Veritasium What is NOT Random?

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visualizingmath:
mathani:
Two curves cut all circles at right angles: straight line and a tractrix.
I didn’t know what a tractrix was, so I Googled it! Tractrix definition from Wikipedia: Tractrix (from the Latin verb trahere ”pull, drag”; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a tractor (pulling) point that moves at a right angle to the initial line
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Today’s puzzle is one from physics. Imagine a string of beads is placed on top of a triangular wedge, with one side longer than the other. Will the string slide to the left or the right side, or will it stay put? (The image is from this video which also explains the solution) . . […]

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mathani:
Two curves cut all circles at right angles: straight line and a tractrix.
I didn’t know what a tractrix was, so I Googled it! Tractrix definition from Wikipedia: Tractrix (from the Latin verb trahere ”pull, drag”; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a tractor (pulling) point that moves at a right angle to the initial line between the object and
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11:15 AM | Sunday Reverie

Most of you likely know of Steve Strogatz's book, "The Calculus of Friendship," about the touching lifelong relationship between Dr. Strogatz and one of his high school math teachers.Today, for a Sunday reverie, I'll just link to this 2009 RadioLab episode (15 mins., entitled "Calculove") about the story… worth a 2nd listen if you've heard it before (or already read the book), and definitely worth a first-listen if you aren't familiar with the
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10:14 AM | Metamath

Do you know about Metamath? “It is a tiny language that can express theorems in abstract mathematics, accompanied by proofs that can be verified by a computer program. This site has a collection of web pages generated from those proofs and lets you see mathematics developed in complete detail from first principles, with absolute rigor. Hopefully […]

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by @ulaulaman http://t.co/Q3AODpvKAs #Godel #ontologicalproof #god #computer The ontological arguments for the existence of God was introduced for the first time by St. Anselm in 1078: God, by definition, is that for which no greater can be conceived. God exists in the understanding. If God exists in the understanding, we could imagine Him to be greater by existing in reality. Therefore, God must exist.There are a lot of phylosophies, mathematics and logicians that proposed their ontological […]

Christoph Benzmüller & Bruno Woltzenlogel Paleo (2013). Formalization, Mechanization and Automation of Gödel's Proof of God's Existence, arXiv: 1308.4526v4

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\[(n+1)^3 - n^3 \equiv 1 \mod 6\] Claudi Alsina,, Roger Nelsen,, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6 The College Mathematics Journal, 45 (2), 135-135 DOI: 10.4169/college.math.j.45.2.135 (facebook)

Claudi Alsina,, Roger Nelsen, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6, The College Mathematics Journal, 45 (2) 135-135. DOI: 10.4169/college.math.j.45.2.135

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\[(n+1)^3 - n^3 \equiv 1 \mod 6\] Claudi Alsina,, Roger Nelsen,, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6 The College Mathematics Journal, 45 (2), 135-135 DOI: 10.4169/college.math.j.45.2.135 (facebook)...
Claudi Alsina,, Roger Nelsen,, & Hasan Unal. (2014) Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6. The College Mathematics Journal, 45(2), 135-135.
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Claudi Alsina,, Roger Nelsen, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6, The College Mathematics Journal, 45 (2) 135-135. DOI: 10.4169/college.math.j.45.2.135

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La settimana scorsa, su twitter, ho diffuso alcune immagini, foto scattate dalle pagine dal volume Letture da Le Scienze: Fisica delle particelle (un indice del volume), che raccoglieva alcuni articoli usciti sulla rivista italiana (e quindi anche su Scientific American). Poiché ognuna di quelle immagini fa inevitabilmente parte della storia della fisica, mi sembra sensato proporle raccolte insieme in un unico post molto più semplicemente raggiungibile di tanti piccoli... cinguettii.
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Weisskopf, V. (1968). The Three Spectroscopies, Scientific American, 218 (5) 15-29. DOI: 10.1038/scientificamerican0568-15

Barish, B. (1973). Experiments with Neutrino Beams, Scientific American, 229 (2) 30-38. DOI: 10.1038/scientificamerican0873-30

Treiman, S. (1959). The Weak Interactions, Scientific American, 200 (3) 72-84. DOI: 10.1038/scientificamerican0359-72

Cline D.B., Mann A.K. & Rubbia C. (1974). The Detection of Neutral Weak Currents, Scientific American, 231 (6) 108-119. DOI: 10.1038/scientificamerican1274-108

Glashow, S. (1975). Quarks with Color and Flavor, Scientific American, 233 (4) 38-50. DOI: 10.1038/scientificamerican1075-38

Nambu, Y. (1976). The Confinement of Quarks, Scientific American, 235 (5) 48-61. DOI: 10.1038/scientificamerican1176-48

Johnson, K. (1979). The Bag Model of Quark Confinement, Scientific American, 241 (1) 112-121. DOI: 10.1038/scientificamerican0779-112

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#sand #battery #chemistry #energy This is the holy grail – a low cost, non-toxic, environmentally friendly way to produce high performance lithium ion battery anodesZachary FavorsSchematic of the heat scavenger-assisted Mg reduction process.Herein, porous nano-silicon has been synthesized via a highly scalable heat scavenger-assisted magnesiothermic reduction of beach sand. This environmentally benign, highly abundant, and low cost SiO2 source allows for production of nano-silicon at the
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Favors, Z., Wang, W., Bay, H., Mutlu, Z., Ahmed, K., Liu, C., Ozkan, M. & Ozkan, C. (2014). Scalable Synthesis of Nano-Silicon from Beach Sand for Long Cycle Life Li-ion Batteries, Scientific Reports, 4 DOI: 10.1038/srep05623

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MrHonner tweeted: @MrHonner

RT @absvalteaching: Go follow @elizwgreen. Then read about http://t.co/FUJlEXoiFW.
http://t.co/9acS1swCQp
Solid, informed, and reasonable e…

2014-07-23 23:00:21

gaussianos tweeted: @gaussianos

Ambigrama de Gaussianos (II) - #AntologíaGaussiana http://t.co/eZVxD7HqeW

2014-07-23 22:59:35

loronegro tweeted: @loronegro

Vista "Quench" de Zach Parker. Suspenso novato. Pero veamos otras de este director.

2014-07-23 22:46:33

MindAfterMath tweeted: @MindAfterMath

2014-07-23 22:38:59

MrHonner tweeted: @MrHonner

RT @Trianglemancsd: Woo hoo! #tmwyk makes the NYT Motherlode blog! Thanks @nytimes & @elizwgreen http://t.co/26ZlqxAidR

2014-07-23 22:29:44

j_lanier tweeted: @j_lanier

@mathhombre LET THE GAMES...BEGIN!

2014-07-23 22:18:33

mathhombre tweeted: @mathhombre

#tmc14 when do the games start?

2014-07-23 22:17:22

MrsCookKHS tweeted: @MrsCookKHS

"Why Do Americans Stink at Math? - http://t.co/bwwfLDHQ0g" good read http://t.co/SSVqKzEfbV

2014-07-23 22:07:52

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