Math

Checkers board problem
This is a fun problem. I want to see who can give the most creative answer. A checkers board has 64 squares, 32 red, 32 black. Only the black squares are used in a game of checkers. So why do the checkerboard manufacturers waste resources making the 32 red squares? Craig ... 3 Jun 2010 10:02

Different defns of homorphism
Hi, Excuse my ignorance, but I wanted to find out if there are different defns of what a "homomorphism" is. From abstract algebra, I recall that f is a homomorphism from groups (A,*) to (B,&) iff for every a and b in A f(a*b) = f(a)&f(b) I was trying to get a clear understanding of the relationship between ... 6 Jun 2010 11:37

Eigenvalues of partitioned matrix
I have a partitioned matrix (order 2n square) I A B I where I is the identity matrix of order n and all thesub matrices are square of order n. Is there a way of working out it's eigenvalues in terms of the sub- matrices? My thoughts are that I have to find the determinant of eI-I -A -B eI-I in... 7 Jun 2010 05:17

Initial value problem Help Please
Can someone help me with this. I need to solve an exponential equation for a project of mine. It's an initial value problem where I know the value of y at t=0 as well as y at t=60s and 120s, but I don't know the value of y=n at t=infinity. The equation is y=C exp^(-kt) + n I need to know if the value of n can be... 2 Jun 2010 10:56

I want someone to discuss some interesting problems in axiomaticset theory with
On Tue, 1 Jun 2010, Lee Davidson wrote: To all: I'd like to find someone who wouldn't mind exchanging some e-mails about some interesting topics related to axiomatic set theory. I have extensive background dating back a few decades, and have recently been going back over all the major results I reme... 2 Jun 2010 04:24

found the flaw of the Pound & Rebka Experiment Re: Doppler Effect contradictory to Special Relativity? Chapt 8 #123; ATOM TOTALITY
Enrico wrote: On Jun 1, 11:12 am, Archimedes Plutonium <plutonium.archime...(a)gmail.com> wrote: Archimedes Plutonium wrote: Archimedes Plutonium wrote: Enrico wrote: (snipped) "The frequency of the photon "falling" towards the bottom of the tower is blue... 2 Jun 2010 09:50

HAUNTING EQUATIONS FOR CURRENT MATHEMATICS X^n +X^n=n^X (previous post), TOWARDS A SIMPLE , NON- BRAINER PROOF OF FLT FROM HOPE RESEARCH
This is haunting to your Mathematics, Understand this, and you will understand the curves of the Mathematics. The base of the equation is (1+)^2 +(1+)^2=(1+)^2 and why have your fellows struggled with FLT and its simple understanding(Not elliyptical convolution) and the exclusive relations ship between 1 and ^2,... 1 Jun 2010 20:50

Deja Vu Divisors -- Game
Here is a game for two players. The players take turns picking any integer from 1,2,3,...., r that has not been picked (by either player) previously in the game, where r is some large integer (such as 1000 or 10000 or more). Let this picked number be m. (m was picked by the player temporarily called the "provi... 4 Jun 2010 11:27

Spiral positions in cartesian coordinates
Is there an algorithm to transform the numbers of an Ulam spiral to its integer cartesian coordinates? Example: The origin of coordinates is the same zero of spiral. ________________________________________ | | | | | | ... 3 Jun 2010 15:40

Unsolvability of the Entscheidungsproblem as a Corollary ofGödel’s 2nd Theorem
George Greene <greeneg(a)email.unc.edu> writes: The question said, "since provability is expressible". Is provability in PA "expressible" in PA ?? Sure. -- Aatu Koskensilta (aatu.koskensilta(a)uta.fi) "Wovon man nicht sprechan kann, dar�ber muss man schweigen" - Ludwig Wittgenstein, Tractatus Logico-P... 4 Jun 2010 11:27