Math

Generalizing the Nagel line to Circumscribed Quadrilaterals, etc.
My homepage at http://mysite.mweb.co.za/residents/profmd/homepage4.html has been updated with my 2008 paper on "Generalizing the Nagel line to Circumscribed Polygons by Analogy & Constructive Defining" from the AMESA Journal Pythagoras, the usual bi-monthly mathematical/ mathematics education quote and cartoon at t... 11 Apr 2010 09:02

Dense
It's claimed Q is a dense subset of R. How can that be? It's got more holes in it than it has plugs. Why isn't it called porous? On the other hand, isn't R\Q more dense, less porous than Q? It's got many fewer holes and far many more plugs than Q. In fact R\Q, having more plugs than holes, gives it the appe... 20 Apr 2010 16:21

Algorithm to determinate all prime numbers
Consider p prime R2<-->R2<-->Circle stereografic (1,0)<-->(p,0)<-->(d,f) where p is the stereografical configuration of p. ... 11 Apr 2010 17:55

Fractal pi jubilee Puzzle. calculate Circle Diameter dn which
** Fractal pi jubilee Puzzle. calculate Circle Diameter dn which encloses n equal non over-lapping O circles in the plane? e.g. n= 1,2,3,4,5,6, ... Although this puzzle is new to me, I consider it should be centuries old, so i won't claim priority at the minute? another related puzzle, calculate 7^n+ (extr... 10 Apr 2010 23:23

The most enlightened , ARINDAM BANERJEE'S OWN WORDS: 'U.S. IS THE BIGGEST TERRORIST STATE IN THE WORLD'
On Apr 11, 10:05 am, use...(a)mantra.com and/or www.mantra.com/jai (Dr. Jai Maharaj) wrote: Arindam Banerjee: 'US is the biggest terrorist state in the world' In the post below, self-confessed communist and resident of Australia Arindam Banerjee declares: When you have nuclear weapons, you are a terr... 10 Apr 2010 23:23

IF P THEN N = 2N/2P-N?
IF P THEN N = 2 N / 2 P - N ? = T RU E O R F ALS E = N O ... 18 Apr 2010 20:51

Alternating Harmonic Series
Hello, consider the alternating harmonic series, that is the series sum_{n=1 to infty} [(-1)^(n+1)]/n, and let sum_{n=1 to infty} a_n be the Cauchy product of the alternating harmonic series with itself. (I) Is {|a_n|} a decresing sequence? (II) Is sum_{n=1 to infty} a_n convergent? Thank you so much for ... 9 Apr 2010 10:00

No one owns code any more than anyone owns a word or a number.
What I say... ... 18 Apr 2010 20:50

Automorphic numbers
Automorphic numbers are defined as those n such that n=n^2 mod 10^k for some k If leading zeroes are allowed, there are two of each length greater than 1. For k=6, they are 890625 and 109376. The Wikipedia page says that if you have one of length k, you can get one of length 2k by n'=3n^2-2n^3 mod 10^(2k) I hav... 9 Apr 2010 22:18

A mathematical coincidence? (Ramanujan-Nagell eqn)
Hello all, Is the "relationship" between the Diophantine eqns, (2x-1)^2 + 7 = 2^n (eq.1) 2x^2(x^2-1) = 3(y^2-1) (eq.2) the COMPLETE soln of BOTH in the positive integers as x = {1,2,3,6,91} really just a "coincidence"? Eq.1, of course, is the well-known Ramanujan-Nagell eqn. Q. Any other e... 9 Apr 2010 01:16