Math

A question about Z[sqrt(-p)]
Hello, Let p>2 be a prime. In Z[sqrt(-p)] the following holds: (1-sqrt(-p))(1+sqrt(-p))=1+p=2t so there is no unique factorization in Z[sqrt(-p)]. Is that correct? Thanks. ... 24 Jan 2010 01:25

CLIMATE-GATE, RELATIVITY-GATE, ENTROPY-GATE
http://communities.canada.com/calgaryherald/print.aspx?postid=542737 "Real scientists would care about Climategate fraud. The Climategate e- mails are the proverbial smoking gun, but it's curious so few scientists cared about the bleeding scientific body lying at their feet. The word fraud and climate science are b... 13 Apr 2010 02:56

Monic natural transformation
Hi all Suppose that F, G are functors D -> C, and that t is a natural transformation from F to G which is monic in the functor category C^D. Can it be shown that each component t_d of t is monic in C? If not in general, how about the special case where C is the category of sets? ... 21 Jan 2010 15:46

An �unknown� electron.
"socratus" <israsad(a)yahoo.com> wrote in message news:fed65e55-de7d-45c7-99fd-1b9c7da56ae7(a)k35g2000yqb.googlegroups.com... An �unknown� electron. <snip> Question is not What, it is Where. Show me one electron. Now. ... 21 Jan 2010 13:28

do stalks determine a sheaf?
Let F and G be sheaves on a toplogical space X such that there is an isomorphism Fx=Gx on every stalk with x in X. Is F necessarily isomorphic to G? Or do I have to assume that there is a morphism of sheaves from F to G inducing all the isomorphisms on the stalks? ... 21 Jan 2010 14:37

Mind travelling with someone who just accepted the Peano Axioms #322 should be #1 ; Correcting Math
I probably will have to cut this chapter out and do an entire book on just correcting the Peano Axioms. And whether I do a solo book on Peano Axioms or include it in this big book on overall Correcting Math, I should start the discussion of Peano Axioms by travelling through the mind of someone who just learns... 21 Jan 2010 03:28

symmetric group decomposition into a product
Hi, I am trying to find an *elementary* solution to the following problem: prove that S_n is not isomorphic to a direct product of two non- trivial groups. Now, one can come up with a solution that uses the simplicity of A_n, but I have encountered this problem in a context where the reader is not supposed to ev... 20 Jan 2010 10:39

Is This really a Proof that Standard Math is Inconsistent?
When I was exposed to math in highschool, I was taught that one way to prove something was to assume the opposite of that something and then derive conclusions from that opposite. If I ever arrived at a conclusion that I knew was false, then that would prove the something I started out with. This was known as pro... 2 Feb 2010 16:38

Row of urinals puzzle
Suppose a bathroom has n urinals in a row which are initially unoccupied. Men approach one by one, balking at any urinal adjacent to one in use. Assuming they select urinals uniformly at random from the set of those neither in use nor adjacent to one in use (and, for simplicity, that they never leave -- think Aus... 26 Jan 2010 09:50

Gravity and black holes
xxein wrote: There is one thing that Tom cannot explain and it is fundemental to SR. MMX. He cannot explain the time of the lightpaths without a physical length contraction. You spend too much time listening to yourself and other idiots, and not enough studying actual physics. In the MMX, the time li... 23 Feb 2010 11:18