X

+

mrvelocipede:
It was inevitable that I would try this at some point.
Sierpinsky triangle doily. Very cool!

+

3:56 PM | Student Artist, Blog-Only Bonus

I was clearing out some old worksheets that I either have stored somewhere electronically or that I know that I'll just never use again, given all the material that I have available to me, stored electronically, when I found the following that I picked up off a student's desk years ago. If I ever knew who the student was (and I probably did at the time), I've forgotten. He (possibly, but not likely, "she") didn't sign the work, nor put their name at the top of the sheet of loose leaf, as they […]

+

At first sight, this image has nothing to do with my site. I have not posted it or mentioned it. The picture is real, by the way, it is not “Photoshopped”. It is from TV coverage of the Scottish Open golf tournament in Aberdeen, and the effect is caused by atmospheric refraction. But the details of…
Tags: Stuff

+

3:00 AM | Game Theory In The News (July 2014)

This is the current installment of a monthly series of game theory in the news. My hope is to highlight stories that can be used as case studies in the classroom, both so students can see how to apply game theory and so teachers can make class material easier to relate to. You can get […]

+

1:53 AM | The Baseball Conundrum

Here is a brain teaser that has taken several forms in the past, but I remember it as a baseball-themed enigma. Think about it carefully. You may think that your answer is a logical deduction, but it may very well be wrong. Also, if you do come across a store that charges such […]

+

Removed from circulation from my school library and regulated to the trash pile before I spotted the circa-1960 photo of Isaac Asimov on the back cover (looking younger than I've ever seen him before, so I surprised myself by recognizing him), serendipity brought Realm of Measure: From the yardstick to the Theory of Relativity into my possession. I'm happy that it did. Though billed as an exploration of mathematics, he veers off a bit into scientific measurements, but I'll still count this
[…]

+

I prepared a brief video for converting decimal numbers into binary. This is a slight variation on how the standard method is usually taught. Video – Convert To Binary (Base 2) You can read a proof of why this works here. The visual modification I made was to write the numbers from right to left […]

+

6:00 PM | Answer: Personal Finance

That is a possible answer to the age-old "When will I ever use this?" question from math students, as "Math Misery" blog explained last weekend (along with a plug for the value of basic arithmetic skills as well):http://mathmisery.com/wp/2014/07/26/the-calculator/

+

1:00 PM | One in a Million

"Wow! I love you too, but statistically, it's VERY unlikely that you're anywhere near 'one in a million.'" Continue reading →

+

No summary available for this post.

+

11:15 AM | Golden-Oldie(s)

Re-visiting some old faves today…:Yesterday Presh Talwalkar covered one of my favorite math puzzles with a sort of update using the real-life example of Nigeria:http://mindyourdecisions.com/blog/2014/07/28/monday-puzzle-nigerias-sex-ratio/#.U9ZpW6jrnKkI covered this math conundrum a couple of years back when Richard Wiseman ran it as one of his Friday puzzles:http://richardwiseman.wordpress.com/2012/01/16/answer-to-the-friday-puzzle-139/Here is Richard's verbatim statement of the puzzle:
[…]

+

(Image from Nebraska Public Power District website) Every year when a heat wave hits, towns and electric companies across America request everyone to conserve energy. They advise raising the thermostat to 78 F, closing the blinds, and shifting energy usage to the night by doing things like running the washer and dryer at night. It […]

+

2:17 PM | Retro Math TV

(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.The 90s version, The Rad Squad, wasn't as successful. Oscar and Fivex appeared together in another classicshow. You know how those numeric actors always like to work in pairs. Interesting (to me) Trivia!: This is comic #888 and it's appearing on 7/28/14, a day of sevens! Not that this was planned, my Internet was actually out for a day or so last week, and I wasn't feeling all that great anyway....

+

1:00 PM | Your Own Biathlon

Biathletes aren't the world's best skiers. And they're not the world's best shooters. They've just found a hybrid task that perfectly suits their weird mixture of talents. Continue reading →

+

Jason Rosenhouse posted a great piece last Friday (in his usual succinct style), "Americans and Math," (in response to a NY Times piece that got lots of coverage):http://scienceblogs.com/evolutionblog/2014/07/25/americans-and-math/I'm sorry I didn't see more attention given to Jason's post because I think he touches on several points others leave out of the debate over American math education and "innumeracy." He tries to account for why changing math education is so difficult and always has […]

+

3:00 AM | Monday Puzzle: Nigeria’s Sex Ratio

Today’s problem comes from a recent issue of The Economist. The article is Fertility and son-preference in Nigeria and it refers to a recent study about sex preference. Families in Nigeria have a preference for boys over girls. If they have a girl or two girls, they will try to have another child to get […]

+

Borromean Rings
Borromean rings are three mutually interlocked rings, where no two rings are linked. Therefore, if one of the rings is cut, all three will fall apart. The name comes from the Borromeo family of Northern Italy who used the rings in their coat of arms. The Borromean rings are an example of a prime link and a Brunnian link in knot theory. It has been proven that the three rings cannot be linked using exact geometrical circles, although they can be formed using ellipses:

+

4:16 PM | A Possible Proof of Collatz Conjecture

Plenty of proof attempts were made by various mathematicians. But none of those could flawlessly prove the statement. Mr. Chellappa's attempt is elementarily based upon the famous Sieve of Eratosthenes. Despite of his experience & confidence, I can not guarantee if this work is perfect. I invite readers to cross check the flawlessness and tell what they think.
Visit the original post A Possible Proof of Collatz Conjecture for the best experience of reading!

+

2:33 PM | ‘Mathematics’-Is it really that scary?

A lot of people have gone through "Mathematical Anxiety". Mark H. Ashcraft defines Math Anxiety as “a feeling of tension, apprehension, or fear that interferes with math performance”. There are a lot of reasons for it.Students often develop mathematical anxiety in schools, often as a result of learning from teachers who are themselves anxious about their mathematical abilities in certain areas. Math is usually taught as a right and wrong subject and as if getting the right answer
[…]

+

11:30 AM | Sunday Musing

"The fact is, though, that I have come to a point where my wonderment and fascination with the meaning and purpose, if any, of this strange activity we call mathematics is equal to, sometimes even stronger than, my fascination with actually doing mathematics. I find mathematics an infinitely complex and mysterious world; exploring it is an addiction from which I hope never to be cured. In this, I am a mathematician like all others. But in addition, I have developed a second half, an Other, who
[…]

Sidebar

Filters

+

via @CERN http://t.co/9Rac42mBVh #CPviolation #CPsymmetry #matter #antimatter The CP violation is a violation of the CP-symmetry, a combination between the charge conjugation symmetry (C) and the parity symmetry (P). CP-symmetry states that the laws of physics should be the same if a particle is interchanged with its antiparticle, and then its spatial coordinates are inverted.The CP violation is discovered in 1964 by Christenson, Cronin, Fitch, and Turlay (Cronin and Fitch awarded the Nobel […]

Christenson, J., Cronin, J., Fitch, V. & Turlay, R. (1964). Evidence for the 2π Decay of the K_{2}^{0} Meson, Physical Review Letters, 13 (4) 138-140. DOI: 10.1103/PhysRevLett.13.138

Citation

+

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

Citation

+

\[(n+1)^3 - n^3 \equiv 1 \mod 6\] 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

Citation

+

\[(n+1)^3 - n^3 \equiv 1 \mod 6\] 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.
[…]

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

Citation

+

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.
[…]

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

Citation

MindAfterMath tweeted: @MindAfterMath

RT @WalkerSamui: When you arise in the morning, think of what a precious privilege it is to be alive - to breathe, to think, to enjoy, to l…

2014-08-01 09:04:32

JohnDCook tweeted: @JohnDCook

The good thing about insomnia is that it makes it easier to collaborate with colleagues seven time zones to the east.

2014-08-01 09:03:08

MindAfterMath tweeted: @MindAfterMath

2014-08-01 09:00:29

wpgaurav tweeted: @wpgaurav

Onlyloudest: http://t.co/X6im4IqMUl via @YouTube

2014-08-01 09:00:06

peterrowlett tweeted: @peterrowlett

And that includes a series of talks. Mine is 'George Green's Mathematical Influences' http://t.co/0BJ6v7KYZP

2014-08-01 08:45:05

peterrowlett tweeted: @peterrowlett

Nottingham's Lakeside has a George Green exhibit this autumn: George Green: Nottingham's Magnificent Mathematician http://t.co/wHhEKlHKIn

2014-08-01 08:45:03

ulaulaman tweeted: @ulaulaman

How to make #nutella http://t.co/FVEYSC39Yd

2014-08-01 08:30:19

jesusem tweeted: @jesusem

RT @pmarsupia: A la 1 de la mañana el ejército de Israel ordenó desalojar los hoteles. Ha tocado dormir en el suelo de un sótano. http://t.…

2014-08-01 07:42:06

X