Comments on: The wonderful world of mathematics http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics scratched tallies on the prison wall Tue, 02 Dec 2008 02:44:48 +0000 http://wordpress.org/?v=2.6.5 By: abhishek http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-6826 abhishek Mon, 27 Mar 2006 12:40:03 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-6826 well a little bit interested in maths ,thanks sambhar for letting me know that maths could even be used for fighting terorism. well a little bit interested in maths ,thanks sambhar for letting me know that maths could even be used for fighting terorism.

]]> By: andy (lofty) http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4753 andy (lofty) Wed, 21 Dec 2005 03:38:47 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4753 Fibonnacci's sequence /spiral Theseries: 1+2=3 2+3=5 3+5=7 5+7=13 7+13=20 etc. is fibonacci's sequence. Guess you knew that - but a good example of the beauty of maths for non-mathematicians is that this series comes up in things like the spiral patterns of seeds on a sunflower head, and the angles of plant leaves going up the stem. Fibonnacci’s sequence /spiral

Theseries:

1+2=3
2+3=5
3+5=7
5+7=13
7+13=20

etc. is fibonacci’s sequence. Guess you knew that - but a good example of the beauty of maths for non-mathematicians is that this series comes up in things like the spiral patterns of seeds on a sunflower head, and the angles of plant leaves going up the stem.

]]> By: madhur sambhar http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4651 madhur sambhar Tue, 13 Dec 2005 14:50:57 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4651 Hi As an application of Pure Mathematics you can use to fight terrorism.... i know bit absurd but see the following link http://web.mit.edu/newsoffice/2005/math-terrorism-0406.html We can use the lattice theory to fight terrorism and predict results. You can also visit http://gillinc.blogspot.com/2004/10/mathematics-of-terrorism.html which tells how ordered sets helps us tracking that..... Mathematics is simply melodious but you need to have knowledge of combining good permutation of notes. -regards Madhur sambhar "Creators Concern is conquest of nature Parasite's concern is conquest of men " -Howard Roark Hi
As an application of Pure Mathematics you can use to fight terrorism…. i know bit absurd but see the following link

http://web.mit.edu/newsoffice/2005/math-terrorism-0406.html

We can use the lattice theory to fight terrorism and predict results. You can also visit
http://gillinc.blogspot.com/2004/10/mathematics-of-terrorism.html
which tells how ordered sets helps us tracking that….. Mathematics is simply melodious but you need to have knowledge of combining good permutation of notes.

-regards
Madhur sambhar
“Creators Concern is conquest of nature
Parasite’s concern is conquest of men ” -Howard Roark

]]> By: madhur sambhar http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4650 madhur sambhar Tue, 13 Dec 2005 14:37:12 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4650 Hi there Great friends, i am an Indian , i love mathematics, done my graduation in Pure Mathematics, but post grads in comp applications.... but couldn't resist my temptation to read your great blog.... Hilberts Hotel is nice. Hi there
Great friends, i am an Indian , i love mathematics, done my graduation in Pure Mathematics, but post grads in comp applications…. but couldn’t resist my temptation to read your great blog…. Hilberts Hotel is nice.

]]> By: Darren Griffith http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4649 Darren Griffith Tue, 13 Dec 2005 13:46:36 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4649 Cool. Math geeks like myself, all congregating around your blog post. You guys might enjoy a song I really got a kick out of. Jonathan Coulton wrote a song about the Mandelbrot Set, and it rocks. You can find it here, midway down the page: http://jonathancoulton.com/songs Cool. Math geeks like myself, all congregating around your blog post.

You guys might enjoy a song I really got a kick out of. Jonathan Coulton wrote a song about the Mandelbrot Set, and it rocks. You can find it here, midway down the page:

http://jonathancoulton.com/songs

]]> By: Sina Motamedi http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4625 Sina Motamedi Fri, 09 Dec 2005 22:28:55 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4625 To keep things easy, you can 'prove' (or show) that the sum of odd integers add up to perfect squares by using pictures. Start with a 1x1 square. In order to create a larger square, you must add 3 to the corner (and you'll get a 2x2). To make the next square, you'll need to now add 5 to the corner (get a 3x3). Next you'll have to add 7 to get a larger square (4x4). Continue to add odd integers to create the next possible square. This is how the Pythagoreans proved this property. * 1 = 1 * * * * 1+3 = 4 * * * * * * * * * 1+3+5 = 9 * * * * * * * * * * * * * * * * 1+3+5+7 = 16 To keep things easy, you can ‘prove’ (or show) that the sum of odd integers add up to perfect squares by using pictures. Start with a 1×1 square. In order to create a larger square, you must add 3 to the corner (and you’ll get a 2×2). To make the next square, you’ll need to now add 5 to the corner (get a 3×3). Next you’ll have to add 7 to get a larger square (4×4). Continue to add odd integers to create the next possible square. This is how the Pythagoreans proved this property.

* 1 = 1

* *
* * 1+3 = 4

* * *
* * *
* * * 1+3+5 = 9

* * * *
* * * *
* * * *
* * * * 1+3+5+7 = 16

]]> By: Gary Fleming http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4623 Gary Fleming Fri, 09 Dec 2005 20:00:23 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4623 I don't think anyone apart from Cathy has produced anything interesting that relates to the real world in a practical sense. Do you honestly think that things adding up to other things, regardless of how much of a coincidence it can't be, meets the criteria? I do not. Keep your sums of squares and maths constants. Cathy was hinting in a direction that would convince most people: signal processing. Signals are a bunch of waves mixed together that do great things, like make your mobile and tv work. Does it get more relevant than that? What if you're a musician? Got a tremolo or wah-wah pedal? Those, my friends, are just the signals from your guitar passing through a careful signal and getting just the right sort of interference. So many practical applications. I don’t think anyone apart from Cathy has produced anything interesting that relates to the real world in a practical sense. Do you honestly think that things adding up to other things, regardless of how much of a coincidence it can’t be, meets the criteria? I do not. Keep your sums of squares and maths constants.

Cathy was hinting in a direction that would convince most people: signal processing. Signals are a bunch of waves mixed together that do great things, like make your mobile and tv work. Does it get more relevant than that?

What if you’re a musician? Got a tremolo or wah-wah pedal? Those, my friends, are just the signals from your guitar passing through a careful signal and getting just the right sort of interference.

So many practical applications.

]]> By: Tim http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4622 Tim Fri, 09 Dec 2005 17:56:09 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4622 To prove that the sum of odd numbers is a square, you need to know sigma notation: The sum of the odd numbers from one to (2n-1) = 1 + 3 + 5 + ... + (2n-1) sigma (r=1 to n) 2r-1 = 2*sigma(r) - sigma(1) = 2*(1/2*n*(n+1)) - n = n(n+1)-n =n^2 + n - n =n^2 Therefore the sum of the odd numbers from 1 to 2n-1 = n^2. so the sum of a consecutive series of odd numbers, starting at 1, must be a square. I'm currently doing Further Maths A-level. I knew it would come in handy some day. To prove that the sum of odd numbers is a square, you need to know sigma notation:

The sum of the odd numbers from one to (2n-1) = 1 + 3 + 5 + … + (2n-1)
sigma (r=1 to n) 2r-1 = 2*sigma(r) - sigma(1)
= 2*(1/2*n*(n+1)) - n
= n(n+1)-n
=n^2 + n - n
=n^2
Therefore the sum of the odd numbers from 1 to 2n-1 = n^2. so the sum of a consecutive series of odd numbers, starting at 1, must be a square.

I’m currently doing Further Maths A-level. I knew it would come in handy some day.

]]> By: Alex http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4618 Alex Fri, 09 Dec 2005 13:43:28 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4618 O... math... i think it is NOT WONDERFUL... remember i had a lot of problems with it at school =). O… math… i think it is NOT WONDERFUL… remember i had a lot of problems with it at school =).

]]> By: mrben http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4616 mrben Fri, 09 Dec 2005 12:28:09 +0000 http://www.kryogenix.org/days/2005/12/08/the-wonderful-world-of-mathematics#comment-4616 Back before he was famous, Dave Gorman did a bit of standup all based around a maths class, which was really funny (to 'mathies' and 'non-mathies' alike). The Whizzkids handbooks (remember those!?!) had nice proofs showing algebraically how 1=0 and 2=1, which always made me laugh. Back before he was famous, Dave Gorman did a bit of standup all based around a maths class, which was really funny (to ‘mathies’ and ‘non-mathies’ alike).

The Whizzkids handbooks (remember those!?!) had nice proofs showing algebraically how 1=0 and 2=1, which always made me laugh.

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