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MagiMathics | Just another WordPress.com weblog

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MagiMathics | Just another WordPress.com weblog | Page 2

https://magimathics.wordpress.com/page/2

Just another WordPress.com weblog. Leave a comment ». Number theory really began with Euclid, around 300BC, in books 7 through 9 of his masterwork,. Before doing so, it is worth revisiting Euclid’s clever algorithm for calculating the greatest common divisor (GCD) of two numbers. We made use of this when solving the Monkey and Coconuts puzzle. 64 = 10 x 6 4. So the GCD is 2. For another example, consider 77 and 65:. 77 = 65 x 1 12. 65 = 12 x 5 5. So the GCD is 1 and the numbers are coprime. Prime Factori...

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March | 2011 | MagiMathics

https://magimathics.wordpress.com/2011/03

Just another WordPress.com weblog. Archive for March 2011. Ted Johnson conducted an analysis of four letter words. Word ladders are interesting because of their similarity to genetic mutation in DNA. Carroll himself came up with the evolutionary chain ‘ape’, ‘are’, ‘ere’, ‘err’, ‘ear’, ‘mar’, ‘man’, although he was a sceptic of Darwin’s theories. For the purpose of this problem, consider ‘y’ to be a vowel. Written by Graham Wheeler. March 29, 2011 at 10:11 pm. Blog at WordPress.com.

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The End of the Universe | MagiMathics

https://magimathics.wordpress.com/2009/12/13/the-end-of-the-universe

Just another WordPress.com weblog. The End of the Universe. In the temple are priests whose task is to transfer all the disks to a different needle, moving only one disk at a time between needles but never placing a larger disk on top of a smaller one. When the task is done, tower, temple and Brahmins all will vanish with a thunderclap and the world will vanish. So how much time do we have left? An original Edouard Lucas puzzle. Photo courtesy of the Puzzle Museum. Going beyond two discs things are a lit...

4

July | 2010 | MagiMathics

https://magimathics.wordpress.com/2010/07

Just another WordPress.com weblog. Archive for July 2010. The Calculus of Democracy. Leave a comment ». For those not familiar with this system, let me explain: voters get to rank the candidates in order of preference. The votes for everyone’s first preference are counted, and the candidate who gets the least votes is eliminated. That candidate is also struck from the voters choices and the process is repeated until there is a candidate that has more than 50% of the vote. Over time these systems tend to ...

5

More on Diophantus and Fermat | MagiMathics

https://magimathics.wordpress.com/2010/01/03/more-on-diophantus-and-fermat

Just another WordPress.com weblog. More on Diophantus and Fermat. In a previous post. I wrote about how Fermat scribbled his famous last theorem in the margin of Diophantus’. This is called Fermat’s last theorem not because it was the last thing Fermat wrote but because of all the incomplete theorem’s we know were left by Fermat it was the last to be proved, taking about 350 years. The section of the book where Fermat wrote his comment was on finding. It was found that if Fermat was wrong, and there is a...

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Ma vie mai pote. Coudray st germer (60). 21/12/2008 at 8:41 AM. 05/09/2010 at 1:08 AM. Subscribe to my blog! Anif de ma chery et de sa mere tro tro bien pa bocou dormi mai setai genial. Don't forget that insults, racism, etc. are forbidden by Skyrock's 'General Terms of Use' and that you can be identified by your IP address (66.160.134.14) if someone makes a complaint. Please enter the sequence of characters in the field below. Posted on Monday, 25 January 2010 at 12:33 PM. Don't forget that insults, rac...

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MagiMathics | MagiMathics

Is really a science magazine but has good articles of interest to math fans. Mathematical Digest. Is a magazine that has been produced for nearly 50 years now by Professor John Webb of the University of Cape Town. I grew up on these in high school and along with Martin Gardner's columns they fuelled my love of math. I was privileged to be instructed by Prof. Webb as an undergraduate math student as well; he was regularly awarded honors as a distinguished teacher and these were well-deserved. Word ladders...

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MagiMathics | Just another WordPress.com weblog

Just another WordPress.com weblog. Ted Johnson conducted an analysis of four letter words. With the additional rule of allowing the word to be reversed at any step. Starting with an online dictionary of 4776 words, he found that there was one huge linked component of 4436 words. This is not surprising; in 1960 Paul Erdős and Alfred Rényi proved that if the average number of links is sufficiently high then the set of words will form one large connected component with a few outliers. The Gym Locker Paradox.

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