Starcraft course

Aug 30, 2010  
Take a break from math courses and enroll in this course all about starcraft offered at the University of Florida!

Starcraft course
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Fields medal 2010

Aug 19, 2010  

The Fields Medals have been announced today. The four winners are:

  • Elon Lindenstrauss (for analytic work with applications to number theory)
  • Ngô Bảo Châu (for analytic work with applications to number theory)
  • Stanislav Smirnov (for theoretical work in statistical physics)
  • Cedric Villani (for theoretical work in statistical physics).
Lindenstrauss made far-reaching advances in ergodic theory (the study of statistical behavior of dynamical systems); Ngô gave a proof of a long-standing conjecture in number theory, namely, the Fundamental Lemma; Smirnov brought mathematical rigor to statistical physics; and Villani made deep connections between mathematics and physics, especially in the topic of entropy.
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God's number is 20

Aug 9, 2010  
rubiks cube

A team of researchers has shown that no position of the Rubik's cube requires more than 20 moves by using around 35 CPU-years of idle computer time donated by Google. The algorithms used by those fast cube solvers typically require more than 40 moves.

"One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. The number of moves this algorithm would take in the worst case is called God's Number. At long last, God's Number has been shown to be 20."
It should be noted that there exists configurations of the Rubik's cube which require at least 20 moves to solve, as shown by Michael Reid who proved that the ''superflip'' position requires 20 moves.

(Source Cube20.org)
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Be smart... stay up late!

Jul 30, 2010  
One study by researchers looks at how starting a bit later in the morning can improve the performance by students. The study's lead author is a pediatrician at Hasbro Children's Hospital in Providence, and concludes that:

"Giving teens 30 extra minutes to start their school day leads to more alertness in class, better moods, less tardiness, and even healthier breakfasts..."
Another (different) study links IQ to sleep schedule. They find that night owls are smarter than other people.

Bedtimes and wake-up times for Americans in their 20s by IQ:

Very Dull (IQ < 75)
Weekday: 11:41 P.M.-7:20 A.M.
Weekend: 12:35 A.M.-10:09 A.M.

Normal (90 < IQ < 110)
Weekday: 12:10 A.M.-7:32 A.M.
Weekend: 1:13 A.M.-10:14 A.M.

Very Bright (IQ > 125)
Weekday: 12:29 A.M.-7:52 A.M.
Weekend: 1:44 A.M.-11:07 A.M.

They claim that: "The modern world contains many features our slow-to-evolve brains still find unfamiliar--cars, TVs, hot dogs on a stick. But the world has always thrown new stuff at us, and brighter humans may adapt more ably."
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This is an excellent story about the so-called Bailey-Borwein-Plouffe algorithm and formula. The BBP formula is an expression for calculating pi discovered by Simon Plouffe in 1995:

pi formula in base 16

This is a remarkable formula because it is a digit-extraction algorithm for pi in base 16. Simon Plouffe describes his discovery of the formula and the consequences he suffered when sharing the credit with others. Read the full story here or the highlights here (the original story is very lengthy):

"The story began many years ago in 1974 when I wanted to find a formula for the n'th digit of Pi... since the computation of Pi looks more complicated than the number e... I studied a way to compute that number instead.

...During my stay at Bordeaux University in 1992-1993 I perfected that program I had that could interface Pari-Gp and Maple. That little Unix script had an enormous advantage of flexibility because I could set up a series of real numbers to test among 1 unknown. At that time I was beginning to find new results, the programs were able to find identities.

That program was the one that found the formula for Pi in hexadecimal (or binary)...

This is where I made the biggest mistake in my life : To accept the collaboration of Peter Borwein and David H. Bailey as co-founders of that algorithm and formula when they have found nothing at all. David Bailey was not even close to me when I found the formula. He was added to the group 2 months after the discovery.

I was naively thinking that I could negotiate a job as professor at Simon Fraser University, which failed. I am very poor at negotiations. I remember that day when the Globe & Mail newspaper article went out in October 1995. I was at Jon Borwein's house and he had a copy of the newspaper in hand. This is where I asked him to become a professor at SFU. He simply replied right away < don't even think about it >. I thought, this is the best chance I will ever have to become a professor there, since it failed, I decided that I had to leave that place.

I was very frustrated at that time, in late 1995 after the discovery. I realized that many small details where terribly wrong. They were getting a lot of credit for the discovery and I had the impression of not getting anything in return. My strategy failed... Later that year, I was invited to a ceremony in Vancouver for the CUFA (faculty of the year Award). This is a prize with plaque and mention that those 2 brothers received for the discovery of the formula. They simply mentioned my name at the ceremony and I received nothing at all...

Then in 1996, I realized that if I get up at night to hate them it is a very bad sign, it means that I have to leave that place (Simon Fraser university). I was convinced I had no future at all with those 2 guys around. I was making serious plans to leave.

...About David H. Bailey. He came after the discovery of the formula and my small basic program , I had also a Fortran version. This is where Peter Borwein suggested to add him as a collaborator to the discovery since he contributed to it (as he said), this is my second big mistake. Of course he accepted to co-write the article, who wouldn't ?! David H. Bailey (and Ferguson) are the authors of the PSLQ program. That program is the version of the Pari-Gp program. I used it a little it is true, but what made the discovery was Pari-Gp and Maple interface program I had. So actually, that person has nothing to do with the discovery of that algorithm and very little to do with the finding of the formula. The mistake was mine. Saying that Bailey found the formula is like saying that the formula was found by the Maple and Basic program.

I tried very hard to correct the situation avoiding the subject of the actual discovery of the algorithm and the formula, I made an article in 1996 for the base 10. I thought naively again that this would re-establish the situation, it did not. I almost accepted to do a film at one point in 1999 when a certain guy from England that wanted to make a movie on Pi and the discovery of the formula. he asked me if I would accept to talk about my with the Borweins. I did not wanted to go in that direction, I should had. There was that book of Jean-Paul Delahaye (le fascinant nombre pi) that mentioned the Plouffe algorithm and formula because I told him part of the story. In some way I was afraid of revealing that enormous story.

Why was I so naive? I had a previous collaboration with Neil Sloane and the Encyclopedia of Integer Sequences and the web site, this was really a big success and Neil is the person I respect the most in mathematics so this is why I thought (wrongly ) that my collaboration with the Borweins had to go well, a big mistake.

Why do I write this? To tell the truth and also the arrogance of those people makes me sick.

Will I gain something from this? I don't care, I have nothing to loose.

Simon Plouffe Montréal, le 22 juin 2003."
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Four time lottery winner

Jul 13, 2010  
               

This is interesting... Joan Ginther from Texas, has won multi-million dollar lottery jackpots four times so far!

  1. In 1993 she split $11 million.
  2. In 2006 she won $2 million.
  3. In 2008 she won $3 million.
  4. Last month, she won $10 million.
That's close to $21 million in winnings for Joan! Mathematicians (namely Sandy Norman and Eduardo Duenez) say the chances of winning four multi-million dollar jackpots are as slim as 1 in 18 septillion -- that's

1 in 18,000,000,000,000,000,000,000,000!

The interesting thing is that Joan Ginther herself was a professor (she earned her doctorate from Stanford University in 1976) and spent many years teaching math.
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large twitter image picture


This is neat. Asur and Huberman (HP Labs California) have analyzed the rate of tweeting versus opening weekend box office revenue. As expected, they found a strong correlation between the amount of tweets concerning a forthcoming film, and its opening weekend box office return (lots of people talking about it, means lots of people want to see it, right?). MrScienceShow says:

"After examining the rate of chatter from almost 3 million movie tweets, the researchers constructed a linear regression model for predicting box-office revenues of movies in advance of their release. These results outperformed the Hollywood Stock Exchange, a market in which people can buy and sell virtual shares in actors, directors and individual movies and produces unusually accurate predictions of film popularity."
The results can be found in their paper on the arxiv.
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LaTeX Comic Sans style

Jul 5, 2010  
FYI: There is a comic sans package available that makes Microsoft's Comic Sans font usable in LaTeX. For example, the following is produced using the comic sans package:

comic sans latex package

Installation instructions can be found at ctan.org [pdf file]. Although, if you know how to LaTeX, chances are you may not like comic sans. :P
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math grafiti


Hey guys!

Do you absolutely love math? and absolutely love facebook? Well now you can love both at the same time! Join the facebook page below:



http://www.facebook.com/pages/Math-Fail/135498639795560

If you love other sites like twitter then let me know if you want me to set up an account to post fun math stuff to and I'll be happy to do so.

Cheers,
Mike
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Feed Spam (sorry!!)

Jun 12, 2010  
Hey guys,

If you use Google Reader then sorry about the feed spam. The problem occurred since I switched servers to another one, and all my domains were mapped to the same IP/website for a few minutes which messed up the feeds on Math Fail. I did fix the feed, however, in Google Reader those items will be permanently there (in cache) since Google doesn't remove anything after it's published :-(. I don't know about other feed readers, but the actual feed is fixed and has those items removed.

If you're subscribed to both SM and MF then double sorry!!

My sincerest apologies,
Mike
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A geometry teacher used the example "as­sassinating President Bar­ack Obama" as a way to teach angles to his geome­try students. He was teaching the students about parallel lines and angles and used the example of where to stand and aim if shooting Obama. 

He said:

"If you're in this building, you would need to take this angle to shoot the president."

Authorities were called and the high school math teacher was questioned by the Secret Service, but was later let go as he didn't pose a threat.




Link to story.
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A couple of University of Pennsylvania mathematicians found solutions to some 140-year-old 7-dimensional equation. I guess solutions were not known to exist for more than a century despite it being very popular in modeling the behavior of gases.

The solution was found by Philip Gressman and Robert Strain and published in the Proceedings of the National Academy of Sciences. Strain says:

"We consider it remarkable that this equation, derived by Boltzmann and Maxwell in 1867 and 1872, grants a fundamental example where a range of geometric fractional derivatives occur in a physical model of the natural world... The mathematical techniques needed to study such phenomena were only developed in the modern era."
Yay for math!

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From the ScienceDaily:

"UBC researchers have proffered a new mathematical model that seeks to unravel a key evolutionary riddle--namely what factors underlie the generation of biological diversity both within and between species."
Their research can be found in Science:
Michael Doebeli, Iaroslav Ispolatov. Complexity and Diversity. Science, 2010: 328 (5977): 494-497 DOI: 10.1126/science.1187468

Keep up the good work mathematicians! :D

nice monkey
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The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2010 to John Torrence Tate at the University of Texas at (Austin) for his work on the theory of numbers (which includes the mysteries surrounding prime numbers).

For the past six decades, Tate has been a leader in this area with many landmark results named for him, including, the Tate module, Tate cycle, Serre-Tate parameter, Tate trace, Tate curve, Hodge-Tate decompositions...

The Abel Prize recognizes contributions of extraordinary depth and influence to the mathematical sciences and has been awarded annually since 2003. It carries a huge cash award of approximately $1,000,000 US.

Previous winners are:
2003: Jean-Pierre Serre
2004: Sir Michael Francis Atiyah and Isadore M. Singer
2005: Peter D. Lax
2006: Lennart Carleson
2007: Srinivasa S. R. Varadhan
2008: John Griggs Thompson and Jacques Tits
2009: Mikhail Leonidovich Gromov
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DailyMail says that Grigori Perelman has refused his $1 million prize from the Clay Institute. I think this is what we all expected, given his past. Four years ago, he failed to show up to receive his Fields Medal from the International Mathematical Union in Madrid. Right now, Perelman is living in a cockroach-infested flat in St Petersburg.

After being told about the prize, he said through the closed door: 'I have all I want.'
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dollar-sign.jpgToday, the Clay Mathematics Institute officially announced the award of the Millennium Prize to Perelman for the proof of the Poincare Conjecture. His proof was first posted to the arXiv back in 2002. In May 2006, a committee of nine mathematicians voted to award Perelman a Fields Medal for his work on the Poincaré conjecture.

No word on whether or not Grigori Perelman will accept the money, as this has been a question asked by many. Perelman has officially stated:

"I'm not going to decide whether to accept the prize until it is offered."
So we should find out the answer soon.

The award of the Millennium Prize was made according to their governing rules:
  1. Recommendation first by a Special Advisory Committee (Simon Donaldson, David Gabai, Mikhail Gromov, Terence Tao, and Andrew Wiles)
  2. Recommendation by the CMI Scientific Advisory Board (James Carlson, Simon Donaldson, Gregory Margulis, Richard Melrose, Yum-Tong Siu, and Andrew Wiles)
  3. Final decision by the Board of Directors (Landon T. Clay, Lavinia D. Clay, and Thomas M. Clay).
Link: http://www.claymath.org/poincare/millenniumPrizeFull.pdf

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Well not exactly.

As quoted from the Telegraph:
"A cleaning lady and her son have been charged over the death of a reclusive, multi-millionaire maths genius whose burned body was found dumped in a field."
Basically what happened is:
  • Math genius Walter Sartory (aged 73, retired nuclear scientist) uses math to get rich on stock market, $14 million to be precise.
  • Sartory was a true savant who had schizophrenia and even had set up a sophisticated computer system to listen for alien life.
  • Cleaning lady Willa Blanc and her son allegedly put his body in a large bin and driven it to Indiana, where it was burned. They pleaded not guilty.
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The world of math humor lost an important contributor today. The creator of Brown Sharpie "kinda quits" and instead of entertaining us, would rather drink beer and play with fuzzy kitties. Arrg!

Brown Sharpie is/was one of my favorite comics (easily making my personal top 5 list). I wish Courtney all the best for her future endeavors, grad school, beer drinking, and kittie playing. I'm impressed with how long she lasted and hopefully after a short break she'll back with a brand new set of brown sharpies.

From the site:
"I quit (kinda)!
I've been thinking about it for awhile, and I have a lot of good reasons: I'm not having fun anymore, three times a week is too often, I'm not really all that funny, I'm not that much of an artist, my mom is starting to understand too much math because of this comic, etc. So for now, I've decided to let my Brown Sharpie pursue other hobbies while I focus on things that make me happy (like grad school! and beer! and fuzzy kitties!)."
brown sharpie
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Just a note that today is Stephen Hawking's birthday and also Galileo's death day.


Galileo Galilei
Born: Feb 15th, 1564 (Pisa)
Died: Jan 8th, 1642 (Arcetri)



Stephen William Hawking
Born: Jan 8th, 1942 (Oxford)
Died: Should have died five decades ago.


Hawking's birth occurred on the 300th anniversary of Galileo's death!

Hawking says, "Galileo, perhaps more than any other single person, was responsible for the birth of modern science."


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genius cat

In London, 14 year old Arran Fernandez has been offered a place at Cambridge University. He passed his exams set by the University last year and just has to pass his physics exam to officially enrol. If he accepts the offer at Cambridge, it'll make him the youngest student to attend for almost 230 years!

A quote from teen:
"I'd like the solve the Riemann hypothesis"

Best of luck with that! Let's hope you are more successful then the rest of us!
Note: Read the quote again... shouldn't it say "I'd like to solve the Riemann hypothesis"? A google search for that quote (in quotations) says that most news sites report THE and not TO:

  Results 1 - 10 of about 233 for "I'd like the solve the Riemann hypothesis".

  Results 1 - 9 of 9 for "I'd like to solve the Riemann hypothesis".

If it's not a misquote then this kid truly is a mathematical genius!! Hats off to eccentricity!

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A paper posted today reports that they have factored the 768-bit number RSA-768 (this is a new record!). It further discusses implications for RSA. Should companies/banks that have data with a high financial value migrate to longer keys?

Highlights:
  • They factored the number RSA-768 on December 12th, 2009
  • The number RSA-768 is from the RSA Challenge list as a representative 768-bit RSA modulus
  • This result sets a new record for factoring general integers
  • Math: Method used is the number field sieve factoring method
  • Quoted from the paper: "We spent half a year on 80 processors on polynomial selection. This was about 3% of the main task, the sieving, which was done on many hundreds of machines and took almost two years."
The following quote from the RSA Laboratories website is quite interesting and informative:

"What does it mean when a Challenge Number is factored?

Users of the RSA public-key cryptosystem may wonder what the factoring of a challenge number implies about the security of their keys. Should they immediately replace their keys with larger ones? Should they stop using RSA altogether?

Clearly, the factoring of a challenge-number of specific length does not mean that the RSA cryptosystem is "broken." It does not even mean, necessarily, that keys of the same length as the factored challenge number must be discarded. It simply gives us an idea of the amount of work required to factor a modulus of a given size. This can be translated into an estimate of the cost of breaking a particular RSA key pair.

Suppose, for example, that in the year 2010 a factorization of RSA-768 is announced that requires 6 months of effort on 100,000 workstations. In this hypothetical situation, would all 768-bit RSA keys need to be replaced? The answer is no. If the data being protected needs security for significantly less than six months, and its value is considerably less than the cost of running 100,000 workstations for that period, then 768-bit keys may continue to be used.

Applications that require longer-term security or have data with a high financial value should migrate to longer keys before the factoring of the corresponding challenge number is announced. In either case, the results of the Factoring Challenge provide real data to help the cryptosystem user choose the appropriate key size"


Authors of the paper:
Thorsten Kleinjung; Kazumaro Aoki; Jens Franke; Arjen Lenstra; Emmanuel Thomé; Joppe Bos; Pierrick Gaudry; Alexander Kruppa; Peter Montgomery; Dag Arne Osvik; Herman te Riele; Andrey Timofeev and Paul Zimmermann
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Math 911

Dec 13, 2009  
math 911


Hahaha, this is pretty cute. This 4 year old boy calls 911 for help with math because earlier his mom told him to get help.

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Pi crop circles

Dec 13, 2009  
You may have seen this already since it dates back to June 2008... But there was reports of a crop circle that represented the first 10 digits of pi (including the decimal point). Pictures below.

crop circle


crop circle
Believers in aliens argue it was made by mathematically minded aliens... But of course, there is a super high probability it wasn't.

One thing is that it is in base 10. If aliens made it, why would they use base 10 unless they have been studying our race for a long time. In which case, why would they leave silly circles in random fields? Also, the smart aliens live in England, since these kinds of mathematical crop circles have appeared there a few times.
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teacher


This is a very sweet story that appeared in the LA times. It's about this math teacher named Bruce Kravets (aged 66) who after he retired, decided to stay as a teacher and teach for free. He's the kind of teacher you remember the rest of your life.
"Five mornings a week, Bruce Kravets, 66, puts on a coat and tie, straps on his helmet and bikes to work at Palms Middle School on L.A.'s Westside, where he teaches math. For free.

[...] Kravets dwells unself-consciously in his own horn-rimmed universe of equations filled with Xs and Ys, his hair curled by the heat of his passion for problem-solving.

Students last week sat transfixed as Kravets scribbled on an overhead projector [...] There was no fidgeting, giggling or texting. Kravets would call on a student and ask him or her to state aloud how to solve a problem, and he would stick with that student until there was complete understanding. He told me he's always taught by the Socratic method, believing that the process is as important as the right answer."
Now if only every teacher had his enthusiasm for math.
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A nice NY Times article about Martin Gardner.

"...Mr. Gardner was 42 and had never taken a math course beyond high school. He had struggled with calculus and considered himself poor at solving basic mathematical puzzles, let alone creating them. But when the publisher of Scientific American asked him if there might be enough material for a monthly column on "recreational mathematics," a term that sounded even more oxymoronic in 1956 than it does today, Mr. Gardner took a gamble."
Martin Gardner's 95th birthday was just over a month ago (born October 21, 1914). Dang that's old! The article goes on to talk about his life and achievements.

Martin Gardner
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Words from Obama

Dec 2, 2009  
Words from President Obama:

Highlights:
  • Education in math and science is important.
  • Obama committed to moving country from middle to top of the pack in math education.
obama math
"Thank you. I am extraordinarily excited to have you all here today.

[...]

finally, allow me to thank the many leaders here today who have agreed be part of the historic effort to inspire and educate a new generation in math and science.

You know, we live in a world of unprecedented perils, but also unparalleled potential.

((blah blah blah, talk about economy and medical system))

And that's why education in math and science is so important.

Now, the hard truth is that for decades we've been losing ground. One assessment shows American 15-year-olds now rank 21st in science and 25th in math when compared to their peers around their world.

And this isn't news. We've seen warring statistics like this for years. Yet, time and again, we've let partisan and petty bickering stand in the way of progress. And time and again as a nation, we've let our children down.

So I'm here and you are here because we all believe that we can't allow division and indifference to imperil our position in the world. It's time for all of us in Washington and across America to take responsibility for our future.

And that's why I'm committed to moving our country from the middle to the top of the pack in science and math education over the next decade.

To meet the goal, the Recovery Act included the largest investment in education in history, while preventing hundreds of thousands of educators from being fired because of state budget shortfalls.

Under the outstanding leadership of Arne Duncan, we've launched a $4 billion Race to the Top fund, one of the largest investments in education reform in history.

And through the Race to the Top, states won't just be receiving funding; they'll have to compete for funding. And in this competition, producing the most innovative programs in math and science will be an advantage.

In addition, we are challenging states to improve achievement by raising standards, using data to better inform decisions and take new approaches to turn around struggling schools.

And because a great teacher is the single most important factor in a great education, we're asking states to focus on teacher effectiveness and to make it possible for professionals, like many of the people in this room, to bring their experience and enthusiasm into the classroom.

But you are here because you know that the success we seek is not going to be attained by government alone. It depends on the dedication of students and parents and the commitment of private citizens, organizations and companies. It depends on all of us.

And that's why, back in April, at the National Academy of Sciences, I issued a challenge: to encourage folks to think of new and creative ways of engaging young people in science and engineering. And we are here because the leaders in this room answered that call to action.

Today we are launching the Educate to Innovate Campaign, a nationwide effort to help reach the goal this administration has set: moving to the top in science and math education in the next decade.

We've got leaders from private companies and universities, foundations and nonprofits and organizations representing millions of scientists, engineers and teachers from across America.

The initial commitment of the private sector to this campaign is more than $260 million, and we only expect the campaign to grow.

Business leaders from Intel, Xerox, Kodak and Time Warner Cable are teaming up with Sally Ride and the Bill and Melinda Gates Foundation, as well as the Carnegie Corporation, to find and replicate successful science, math and technology programs all across America.

"Sesame Street" has become a two-year initiative to teach young kids about math and science, and Discovery Communications is going to deliver interactive science content to 60,000 schools, reaching 35 million students.

These efforts extend beyond the classroom. Time Warner Cable is joining with the Coalition for Science After School and FIRST Robotics, the program created by inventor Dean Kamen, which gave us the Cougar Cannon to connect 1 million students with fun after-school activities like robotics competitions.

The MacArthur Foundation and industry leaders like Sony are launching a nationwide challenge to design compelling, freely available science-related video games.

And organizations representing teachers, scientists, mathematicians and engineers, joined by volunteers in the community, are participating in a grassroots effort called National Lab Day to reach 10 million young people with hands-on learning. Students will launch rockets, construct miniature windmills and get their hands dirty. They'll have the chance to build and create, and maybe destroy just a little bit... "

Read the rest at the Washington Post.
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As pointed out in this boing boing post, the paper titled "Human group formation in online guilds and offline gangs driven by a common team dynamic" discusses how the structure of online guilds can be modeled using the same mathematical models as street gangs.
"Massively multiplayer online games typically allow individuals to spontaneously form, join, or leave a formal group called a guild. [...] Millions of people worldwide log on to the world's largest online game World of Warcraft (WoW) for the equivalent of several days every week. Indeed, online games are one of the largest collective human activities on the planet [...]

A seemingly unrelated social phenomenon that is also of great concern is urban gangs. Urban gangs have been gaining in popularity among young people both nationally and internationally. There are obvious differences in the settings and history of online guilds and offline gangs, however, the empirical data sets that we have compiled enable us to perform a unique comparative study of their respective grouping dynamics."
It's an interesting read and the authors analyze the data that they have collected over the last few years to show evidence of a quantitative link between the collective dynamics of the two systems above.

The authors of the paper are: Neil F. Johnson, Chen Xu, Zhenyuan Zhao, Nicolas Ducheneaut, Nicholas Yee, George Tita, and Pak Ming Hui.


doi: 10.1103/PhysRevE.79.066117
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Fox news - pi chart

Nov 5, 2009  


Hmm... something doesn't add up :-]
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A few weeks ago there was a blog post on Psychology Today with the title Why Your Friends Have More Friends Than You Do (And why your girlfriend is a whore). Satoshi Kanazawa explains why

"your friends on average have more friends than you do."

He goes on to explain that:
" You are more likely to be friends with someone who has more friends than with someone who has fewer friends. There are 12 people who have a friend who has 12 friends, but there is only one person who has a friend who has only one friend. And, of course, there is no one who has a friend who doesn't have any friend. Yet there is actually only one person who has 12 friends. So "12" gets counted only once when you compute the average number of friends that people have, but it gets counted 12 times when you compute the average number of friends that their friends have. Hence the seeming paradox that your friends have more friends than you do."
It's pretty simple mathematics actually.
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Mobius shoe

Oct 30, 2009  
This website is selling a mobius shoe:
mobius shoe

Neato!! They also have mobius boots apparently. Combine it with my pair of pants and my Whitney umbrella, then I'll really be styling!!
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Wolfram|Alpha homework day is TODAY! Go check it out at their site. Throughout Homework Day, Stephen Wolfram and rest of the team will answer tough questions and highlight some of the creative submissions from students (and teachers). You can send them questions throughout the day (and could be eligible for prizes). It lasts from noon - 2am.

homework-day.jpg

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Ya so I keep hearing about this balloon boy... although I haven't actually read any news articles on it, so based on headlines I keep seeing this is what I suspect happened:
- Richard Heene makes experimental helium balloon
- Heene & wife freakout since their "son" may be in the basket
- crapload of publicity, balloon comes down, son not in there
- son was actually in the Heene house attic all along
- 4chan delivers pizza to balloon boy
- news now reporting the stunt was a hoax
- charges filed against Heene
So what does this have anything to do with math? Well I came across this post about someone doing the "math behind the balloon boy story". Basically they do some fancy calculations to see if it was ever possible for such a crappy balloon to lift a small boy:

"Was it ever even possible that a 20' x 5' helium balloon could lift the weight of a six-year-old to 8,000 feet MSL? Let's take a look at some numbers. Taking Falcon Heene's father at his reported word, the balloon that news helicopters followed for two hours Thursday (because they thought Falcon was aboard) was 20 feet by five feet. We don't know if that included the compartment at the bottom -- so let's be conservative and assume it did not."


You can find the rest of the post here.
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Math Teachers at Play 17

Oct 18, 2009  
The mathrecreation blog just posted Math Teachers at Play 17 (well on Oct 15th, so I'm a few days late). You can find lots of humour (umm... or humor as they said on their site)... movies, activities, and MATH!! As quoted:
"There is plenty of humor, a few movies, some great activities and explorations, and lots of math in Math Teachers at Play 17. Hope you enjoy reading these as much as I did. Thanks to everyone who submitted posts or answered my requests to include their work."
Go check it out NOW and enjoy all the links, there is a lot of them so it should keep you busy for quite some time.
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So today I beat stumbleupon in math!! Check out the proof here:

su.pngMathFail = 1; StumbleUpon = 0.
Me thinks I deserve a medal ^_^
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Girls are dumb at math

Sep 26, 2009  
Oh jeez, with a title like that I'm sure to get my ass kicked :-\

"In tests in Canada, women who were told that men and women do math equally well did much better than those who were told there is a genetic difference in math ability.

And women who heard there were differences caused by environment -- such as math teachers giving more attention to boys -- outperformed those who were simply reminded they were females.

The women who did better in the tests got nearly twice as many right answers as those in the other groups, explained Steven J. Heine, a psychology professor at the University of British Columbia in Vancouver."
The math study was done a couple years ago from 2003-2006. Heine and Dar-Nimrod wanted to see how people are affected by stereotypes about themselves. They took 220 women and divided them into 4 groups and gave them math and reading tests. The results were published in the journal Science.

The way they did the experiment was to give the women a math test, then have them read an essay, then give them another math test. In two groups the women averaged between five and 10 correct answers out of 25 math questions. In the other two they averaged between 15 and 20 correct.

The women in the lower socring groups read essays about the 'genetic difference between men and women in math ability' or read an essay about the 'images of women in art' (which reminds them they are female but didn't discuss math). These two groups had a decreased performance between the two math tests. Thus... reminding people of the stereotype affects them.
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This guy named Dalton Chiscolm is unhappy about Bank of America's customer service -- like really, really, really, really unhappy :-|

Anyways, in August he decided to sue the largest U.S. bank and its board... demanding that
"1,784 billion, trillion dollars"
be deposited into his account the next day. He also demanded an additional $200,164,000. 
According to the news story:
"He seems to be complaining that he placed a series of calls to the bank in New York and received inconsistent information from a 'Spanish womn,'" the judge wrote. "He apparently alleges that checks have been rejected because of incomplete routing numbers."

Chin has experience with big numbers. He's the judge who sentenced Bernard Madoff to a 150-year prison sentence for what the government called a $65 billion Ponzi scheme.

Yet the money Chiscolm wants could dwarf all the bank's other problems. It's larger than a sextillion dollars, or a 1 followed by 21 zeros. Chiscolm's request is equivalent 1 followed by 22 digits. The sum also dwarfs the world's 2008 gross domestic product of $60 trillion, as estimated by the World Bank."

The Judge gave Chiscolm until October 23 to explain the basis for his claims, or else his complaint will be dismissed.

Just how many zeros is 1,784 billion trillion? Convention is that it's 21 zeros:
1 784 000 000 000 000 000 000 000
WOW! Just.... wow!
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Identical lottery draw

Sep 18, 2009  
In Bulgaria's national lottery, the same six winning numbers were drawn twice in a row. Minister Svilen Neikov ordered an investigation after the numbers 4, 15, 23, 24, 35 and 42 were selected, in a different order, by a machine live on television on September 6th and 10th. Some thought the results were manipulated, however after an investigation there was no wrongdoing found.

A total of 18 people got all six numbers when they were drawn the second time and each got $7,700. Nobody guessed right the first draw.

Mathematicians say that the chance of drawing the same six numbers in two consecutive rounds is about 1 in 4.2 million.

The following website has some calculations dealing with lottery math and whether it's better to play 50 dollars in one lottery, or play one dollar in fifty lotteries.
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XKCD book is out

Sep 17, 2009  
xkcd_book.png
That's right folks, the first ever XKCD book is now officially out and available. It's available in the xkcd store for a price of $18.
The author, Randall Munroe, says...
"It's been fun putting it all together. It was neat to go back through various huge stacks of old drawings, some on the back of school assignments, and scan them at print resolution. I also had fun with the marginal notes. I'm really excited to finally have it in print, and I'm looking forward to seeing people and signing copies at the release events this weekend. I'm also excited about getting back to work on some other projects which have been on hold for a bit, at least one of which will involve lakes and a recently-acquired Arduino."
Apparently, the book is being published by BreadPig, a company founded by Randall's friend, and their portion of the profits will go to build a school in Laos.
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Ya so, a woman named Sara Gaspar used to work for the University of Notre Dame doing catering for events. Then one paycheque she saw that the school tipped her
$29,387
Of course she thought this was AWESOME (who wouldn't). She payed off all her debts, and even bought a brand NEW car! She said she tried to call the school a few times about the payment but didn't hear back from them. But then just over a month later she received a phone call from the school demanding the money back.
They claim it was a typographical error and was supposed to be $29.87 - of course it was!!... it's blatantly obvious that the 3 was supposed to be a period. Just look at the number pad, instead of typing 29.87, someone hit the "3" key instead of "." and it came out as 29387.

number-pad.jpgNevertheless, Notre Dame filed a lawsuit against her accusing her of fraud, conversion and unjust enrichment. You can check out the story on Yahoo.

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Hunch.com is a decision-making tool that gets smarter the more you use it! It was created by a bunch of c.s. / math nerds who have a background in machine learning.

What is Hunch?

Hunch is a new way to help people make all kinds of decisions:

  • Where should I go on vacation?
  • What kind of phone is right for me?
  • Which museum should I visit in Canada?
  • What blogs should I read right now?

Results are based on the collective knowledge of Hunch's users. It asks you 10 questions to answer then gives you results. If you don't like the results, you can train Hunch to learn from its mistakes :-D

So the next time you are stumped on a tough decision, let Hunch decide for you!!

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Happy 09/09/09 day!

Sep 9, 2009  
For those of you who don't know, it is indeed 09/09/09 day. Woohoo? Ya I know, it's just another day, but for some reason the general public LOVES symmetry, so let's give them what they like to hear ;-)

First, since it's not a leap year, September 9, 2009, is the 252nd day of the year. But,
2+5+2=9

Second,
9 x 9 x 9 = 27
and
2+7=9
WOW! Are you amazed yet (directed towards the non-mathematicians). But wait, there's more!
The day falls on a Wednesday, and both Wednesday and September have:
9 letters!
Double WOW! And of course if you put 999 upside down you get the number people associate with evil. Because of this, some people think the world is going to end today (it's not so take off your tinfoil hats please).

A nice fact is that 9 in mandarin (chinese) sounds like forever. So 999 emphasizes this and is considered very lucky. So don't be surprised if there are a lot of weddings today.

But wait, there's more! 09/09/09 is also the last of single digit dates for a long time. Actually, 92 years until it happens again. And guess what?
9+2=11
Neat eh? And also,
1+1=2
and there is a 2 in 92, and also 27. And 9^2 is 81. And there is a 1 in both 11 and 81!! WOW! Okay okay, I'll stop. ^_^

Boy, I just can't wait until 10/10/10 day!
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Written by Clifford Pickover, The Math Book, covers 250 milestones in mathematics. It has information about the Fibonacci series, the Goldbach Conjecture, Benford's Law, the Prisoner's Dilemma, Newcomb's Paradox, Tokarsky's Unilluminable Room, discovery of pi, etc.

the-math-book.jpg

Each two-page spread has an excellent story about a mathematical principle, discovery, puzzle, or person. You can find more information about the book at amazon.com.

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Facebook sucks at math

Sep 3, 2009  
I was goofing off on Facebook when I decided to look into it's advertising system. I got to a page that asked for a bunch of information. I decided to target people with the following particulars:
  • 18+ years old
  • College Grad
  • Majored in Mathematics (of course :D)
It also asked for countries to target. I put in Canada and the United States and at the bottom of the screen it said:
164,400 people
  • who live in one of the countries: Canada or United States
facebook-fail-1.png
Then I decided I would add China to the list of countries. The reason for this is because I wanted to target MORE people!! But as soon as I added China, the bottom of the screen said:

161,260 people
  • who live in one of the countries: Canada, United States or China
facebook-fail-2.pngBy adding China, the number of people went down! Epic FAIL on Facebook's behalf!
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Twenty Questions is a popular game which encourages deductive reasoning. Usually, one person is chosen to be the answerer. That person chooses a subject but does not reveal this to the others. All other players are questioners. They each take turns asking a question which can be answered with a simple "Yes" or "No". Lying is not allowed, as it would ruin the game. If a questioner guesses the correct answer, that questioner wins and becomes the answerer for the next round. If 20 questions are asked without a correct guess, then the answerer has stumped the questioners and gets to be the answerer for another round.

20 questions
The above game is called 20Q and you can play it online at 20Q.net.

Now for some math:
The game is often used as an example when teaching students about information theory. Mathematically, if each question is structured to eliminate half the objects, 20 questions will allow the questioner to distinguish between 2^20 or 1,048,576 objects. Thus, the best strategy for 20 Questions is to ask questions that will split the field of remaining possibilities roughly in half each time. This process is analogous to a binary search algorithm in computer science.
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Calculator Fail

Aug 10, 2009  
calculator

I'm always eager about finding math mistakes in the news. The Herald reported that a Traffic Warden was incorrectly ticketing cars in a parking lot because of how he was using his calculator. He failed to realize that calculators work in decimals rather than minutes and hours. One car owner saw this and tried to explain the error but the Traffic Warden was convinced his calculator method was correct and continued to ticket cars. Eventually, after an appeal the incorrect tickets were repealed and a letter of apology was sent.
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WolframAlpha.com is the newest development by Stephen Wolfram. It is an "answer engine" as opposed to a search engine. It's used to compute answers to questions. Being the idiot that I am, I couldn't think of anything mathie to type in, so I opted for: "Why did the chicken cross the road?":
Wolfram Alpha Screenshot


In all fairness it's actually pretty sophisticated tool that can tell you all sorts of information about science, math, technology, geography, weather, cooking, business, stocks, travel, music, and much much more. It uses built-in models of fields of knowledge, complete with data and algorithms.

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