Math

SU(2) x SU(2) and SO(4)
SU(2)xSU(2) has the same lie algebra as SO(4). SU(2)xSU(2) is reducible into a 3 dimensional and 1 dimensional representation using say clebsh gordon coefficients. Does this imply that SO(4) is also reducible? ganesh ... 10 Dec 2009 10:06

pentic root
The root to ax^5+bx+c=0 is approximately, x = { -c/({a^2+b^2}^(1/2)) }^(1/5) Using this formula, the roots to, x^5+x-34=0 x=1.888 should be 2 32x^5+4x-3=0 x=0.623 should be 1/2 x^5+x-0.10001 x=0.5887 should be 1/10 ... 9 Dec 2009 20:00

No Putnam spoilers please!
Dear colleagues, dear friends, As you know William Lowell Putnam Competition takes place in USA and Canada in 2009 today on Saturday 5 December, right now. It started at 10:00 a.m. GMT-4 in Atlantic zone and will finish at 4:00 p.m. GMT-10 in Hawaii zone. Also some students may take exams on Sunday because of re... 8 Dec 2009 14:10

Set Theory, Anyone?
On Sat, 5 Dec 2009, Jack Wellington wrote: It's sad that mathematicians have no imaginations these days. May I introduce you to imaginary numbers. Now if you take a real number that's not zero and square it, the result is positive. That however leaves the problem of solving equations like x^2 + x + 1 = 0 ... 7 Dec 2009 08:28

The Blank Algorithm
// Window main # Window object called "main" // title "Main" # Initial value of attribute // width 600px # Initial value of attribute // /message (.*)/: # Pattern of a received message // status $1. # Action: send message to status // /quit/: // self halt. // Label ... 4 Dec 2009 21:49

3 / 11.4 = 5/19 =0.263157895 Understand that, because it is a great divisor , see other posts
This is hard to understand, but in other posts this is shown to be a divisor. This is indirect proof of inverse 19 because this 11.4 is a vector derivative, and the hypotenuse of 11.4 is 15 , so these hypotenuses equalize at 19. For thos who get confused by this , refrain from profanitie TILL A CHALLENGE PROOF OF ... 3 Dec 2009 16:00

direct product of rings
Why the direct product of two fields, considered as a ring is never itself a field? Thanks. ... 3 Dec 2009 14:52

What is the material basis of consciousness ?’
What is the material basis of consciousness ?’ I think : the Vacuum and Electron are the material basis of Consciousness. Why? Because now nobody knows what the Vacuum and Electron are. 1. " The problem of the exact description of vacuum, in my opinion, is the basic problem now before physics. Really, if yo... 30 Dec 2009 08:43

goldbuch conjecture raed this carefully!
i sipmply claim: for all k>2: p+q=2k if p and q are odd and p/=q! for all k>1: p+q=2k if p=q! thus i cover all the cases can anyone find a k sutch that p+q/=2k simply NOT Goldbach conjecture states that every even integer greater then 4 is the sum of two primes Proof Theorem Golbach conjectu... 3 Dec 2009 11:29

Closed form for this sum?
Hi. Is there a closed form for sum_{k=0...n-1} k^p exp(qk) with p, q nonnegative integers? Like how Faulhaber's formula gives a closed form for sum_{k=0...n-1} k^p? I tried the "summation by parts" method but it gives a nasty looking recurrence formula that I would not be at all sure how to reduce to a "... 3 Dec 2009 23:49