mathematical

I have for many years had an interesting Nassim Taleb's work, most famously known for the idea of the Black Swan. He has a lot of very interesting ideas in his books, supposedly back up by technical papers. If his ideas about prediction and risk, if true, could have a big impact. The problem...

Anyone able to expound a little on mathematical constants such as Pi, fractals, Fibonacci Numbers, and Golden Ratios, etc. By chance, I came across an article that the spirals in cone-shells conform to the Golden Mean. A quick glance into this area on the 'net covers everything from...

I think he's gonna have to be a bit more specific in Step 3... There are so many holes in this, you could play a tune on it in a high wind...I don't think logic and mathematics necessarily peacefully co-exist...remember, 2 + 2 = 5, for large values of 2...

Does anyone here know Fermat's proof that any prime number that equals 4n +1 (where n is an integer) is equal to one and only one group of two perfect squares? For example 29 is equal to 4(7) + 1 and 5^2 + 2^2.

"While the circle cannot be squared in Euclidean space, it can in Gauss-Bolyai-Lobachevsky Space." - Mathworld I did not know that.

I'm not sure who I was communicating to regarding this. I couldn't find the message or PMs, but I was sure it was with a JREF forum member. Anyway, take a whole number n (greater than 2), and calculate the sum of the factorials of its digits. Then calculate the sum of the factorials of this...

http://www.maa.org/news/columns.html This is a link to the Mathematical Association of America's online columns. They are really neat. :) There is an especially mind bending article on turning snowballs inside out, as well as an interesting one about Euler's ship propulsion designs (some were...

There is an interesting maths question being posed on this Forum as the whether 0.999(recurring)=1 A suggested ‘proof’ is X=0.999(recurring) 10X=9.9999 10X-X = 9X 9X=9X X=1 Hence 0.999(recurring)=1 I don’t like it at all. Although a number of different posters have come up with different...