Math

recursion
Dear All, Please, how can I solve the following recursion? x[ i + 1 ] = ( ( ( a + ( i + 1) m ) / a ) x[ i ] ) - ( ( i m / a ) x[ i - 1 ] ) - ( 1 / a ) Thanks! Best regards, Daniel ... 9 Jun 2010 19:49

Godels seconded theorem ends in paradox-simple proof
colin leslie dean has shown Godels seconded theorem ends in paradox http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems#Proof_sketch_for_the_second_theorem [quote]The following rephrasing of the second theorem is even more unsettling to the foundations of mathematics: If an axiomatic system ca... 28 May 2010 01:47

Reference for the incomplete beta function?
On May 26, 12:37 pm, Gerry <gerry...(a)gmail.com> wrote: On May 25, 10:59 am, Gerry <gerry...(a)gmail.com> wrote: On May 25, 5:49 am, johnson542 <johnson...(a)verizon.net> wrote: Let k, n be positive integers with k<n. Does any one know the name of the following function: ... 27 May 2010 23:38

Cosmology, Pain, and Esoteric Mathematics Merit Million Dollar ShawPrizes
Cosmology, Pain, and Esoteric Mathematics Merit Million Dollar Shaw Prizes For "profound" work in mathematics and for elucidating how the skin senses pain, respectively, Jean Bourgain of the Institute for Advanced Study in Princeton, New Jersey, and David Julius... http://news.sciencemag.org/scienceinsider/201... 27 May 2010 19:17

center of mass of the Cantor set
Here's an interesting problem I recently saw. Take the usual middle thirds Cantor set, constructed on the closed interval [0, 2*pi] instead of the closed interval [0,1], and bend it without stretching into a circle of radius 1 centered at the origin of the xy-coordinate plane so that the points 0 and 2*pi are gl... 6 Jun 2010 09:25

Precompactness
Let Y be the set of continuous functions from [0,1] to R. Prove that the set: http://it.tinypic.com/r/2uqbw1t/6 is not precompact in Y, i.e. there is a sequence in K which has no converging subsequence in the max-norm ... 28 May 2010 14:52

Chaitin's book "META MATH"
COMMENTARY TO THE CHAITIN’ S BOOK “META MATH!” This book is well written and presents a very interesting reading , but I found many contradictions and inexactness. I will show some examples : Page 14: ”…it is easy to state clear, straightforward questions that nobody knows to answer, not even in a... 28 May 2010 18:11

new names for trig ratios
OK, since students have trouble remembering trig ratio definitions, and since they use the silly but effective mnemonic SOH CAH TOA, I figure we may as well codify this into the terminology proper. Specifically, I propose we officially rename the trig functions as follows: sin -> soh cos -> cah tan -> toa c... 29 May 2010 22:17

Jump to I. The Period of F(mod m)‎: Thus lcm[k(piei)] | k(m). Let L = lcm[k(piei)]. Since k(piei) | L for each i, the sequence F(mod piei) ...(WAS: Re: -------- Conjecture / m = (f^k + e^k)/(2k))
On 27 May, 04:59, Deep <deepk...(a)yahoo.com> wrote: On May 26, 10:46 pm, The Pumpster <pumpledumplek...(a)gmail.com> wrote: On May 26, 6:48 pm, James Waldby <n...(a)no.no> wrote: On Wed, 26 May 2010 17:31:14 -0700, Deep wrote: Consider the following equation under the given condit... 27 May 2010 12:37

Hirsch Conjecture.
It seems that the Spanish mathematician Francisco Santos (Cantabria University) has disproved it. http://gilkalai.wordpress.com/2010/05/10/francisco-santos-disproves-the-hirsch-conjecture/ --- http://ficus.pntic.mec.es/~frej0002/ ... 27 May 2010 09:16