Math

question about integers / divisibility
If p, q, n are integers and pq divides (p+q)^n, it is easy to see either by application of binomial theorem or otherwise that p, q must have a common prime divisor. Can this result be easily extrapolated when we throw in one more variable into the mix? i.e, if p, q, r, n are integers and pqr divides (p+q+r)^n,... 12 Mar 2010 02:51

--- --- --- consistency of an equation.
Consider equation (1) below under the given conditions. x^k + (1/4)y^k = 0 mod(k^2) (1) Conditions: k is prime to xy, y is even, both x, y are integers and each > 1, prime k > 3 Question: Is (1) consistent? Any helpful comments with a numerical example will be appreciated ... 11 Mar 2010 14:36

localization
Consider this example: R is a ring and R'=R[x_1,..x_n]/ (r_1x_1+...r_nx_n -1) with r_i in R. 1. What is the image of the map Spec R'-> Spec R? and 2. What is an element b\inR such that R'_b (localized at b) is a free R_b (;ocalized at b) module? ... 11 Mar 2010 11:10

(i) = 3162.... pattern; (i) a 60 degree rotation? #505 Correcting Math
Alright I have -1 = 9999....9999 and so the square root of -1 is either: sqrt9 = 3  sqrt99 = 9.94  sqrt999 = 31.60  sqrt9999 = 99.99  sqrt99999 = 316.22  sqrt999999 = 999.99  sqrt9999999 = 3162.27 Is either the 999.... pattern or the 3162..... pattern depending on whether the 9s are even or odd. Now... 10 Mar 2010 14:13

INVERSE 19 MATHEMATICS ANNOUNCES THE FIRST EVER RATIONAL, PSEUDO PRIME INFINITE SERIES AND ITS RATIONAL CONSTRUCTION -- PRIMALITY IS NOW A NON BRAINER!!!!!
"Inverse 19 mathematics" <hope9900(a)verizon.net> wrote in message news:0c797972-e301-4c19-bd88-9e99d22e502f(a)15g2000yqi.googlegroups.com... THE FUSION OF 3 AND 4 AS PATENT IN INVERSE 19 MATHEMATICS ( Did not we tell you the number 7 as part of the inverse Paragon) 7 is not a number, you blithering fuckwit. ... 10 Mar 2010 13:05

For the person who has everything, a bottle to keep it in.
Jonathan de Boyne Pollard <J.deBoynePollard-newsgroups(a)NTLWorld.COM> wrote: They are empty, they contain everything, including themselves and any scale you use to weight them, so they cannot have weight. So here's an interesting question, then: What's the acceleration due to gravity at the surface of ... 16 Mar 2010 18:36

Good Point by JSH
I had to edit my title from "Good Points" to "Good Point" because there is only one good point. Others were bad, like admitting he's getting old and then blaming "old geezers" for his lack of success. The really good point relates to Wiles. What has he done lately? He appears to be a one-hit wonder indeed. And age i... 22 Mar 2010 15:32

Referees (was Re: Collatz cartoon)
In article <873a0abrh1.fsf(a)phiwumbda.org>, "Jesse F. Hughes" <jesse(a)phiwumbda.org> wrote: The referees who have rejected my submissions are, without exception, ignorant, lazy bastards whose opinions aren't worth spit. Those who have accepted my submissions are all remarkably astute, capable of fairly j... 8 Mar 2010 17:34

Matrix calculus problem
Hello all! I have trouble tackling the following problem. Let f be a C^n real function on an open interval. It naturally induces a mapping on self- adjoint matrices with spectrum in the interval. Is this mapping also n times differentiable? I suspect yes, but I only found a proof for the case n=1, and it cannot ... 7 Mar 2010 15:10

the speed of dedanoe's rage being faster than that of einstein's speed of light
far, far faster... ... 7 Mar 2010 15:10