Math

2^q mod (p) calculation
Dear All, I have to write a program to compute: 2^q mod(p) and 2^(q-3) mod (p) where q and p are very large primes. I plan to use the "power-mod" algorithm to compute the 2 expressions seperately. Is there a way to compute 2^q mod(p) and derive 2^(q-3) mod (p) or vice versa ??? ... 4 Jun 2010 21:23

does this f(x,y) have to be a polynomial function of x and y?
Does f(x,y) have to be a polynomial function of x and y, if for constant x it is a polynomial in y and for constant y it is a polynomial in x? I haven't been able to prove this. Michael ... 4 Jul 2010 10:05

Maximum of a function of one variable over a region
Hi all, Let n>=2 be an integer, and let R,V be integers satisfying 0<=V<=n, 1<=R<=n and R+V<=n. It appears to be that the function f(R,V) = V ((R+1)^n - R^n) / n^n <= 3/4 for all R,V above. How might I prove this? Substituting the bound V<=n-R and then differentiating to find a stationary point leaves me a p... 4 Jun 2010 11:27

Matrix A + B
Hi, This is part of the first question for chapter 1 of "Applied numerical linear algebra" book, but I just can't come up with a solution: If A and B are orthogonal matrices, and det(A) = -det(B), show that A + B is singular. Any hints? -- http://kaba.hilvi.org ... 7 Jun 2010 00:57

THE PROBLEM WITH THE NATURAL PHILOSOPHY ALLIANCE
http://www.prweb.com/releases/2010/06/prweb4083874.htm "A day of scientific inquiry and challenges to such theories as Einstein's theory of relativity, the Bernoulli Effect, and plate tectonics are offered for public scrutiny for the first time by the Natural Philosophy Alliance, a worldwide scientific organization... 5 Jun 2010 10:19

Idiot Mathematicians obsess over problems and impossibilities more than solutions and possibilities
It is true. There are a lot of idiots on Sci.Math. I am not one of them. This is also true. You may be. ... 4 Jun 2010 04:51

see what the culture of a fake Doppler shift spawns Chapt 8 #133; ATOM TOTALITY
Archimedes Plutonium wrote: Enrico wrote: http://www.copradar.com/preview/chapt2/ch2d1.html Police traffic radar emits an unmodulated continuous wave (CW) and measures' reflections (echoes). Reflections are frequency shifted (Doppler shift) if the target is moving; the faster the... 4 Jun 2010 02:42

see what the culture of a fake Doppler shift spawns Chapt 8 #131; ATOM TOTALITY
Jeroen Belleman wrote: Answer my questions. The second one only, if you can. Not that it matters. I won't attempt to educate you beyond this. Jeroen Belleman You don't know what you are talking about and you have a foul mouth accompanying. You claim radar speed is a doppler measurement. You d... 9 Jun 2010 01:00

Encompassing the Halting Set in PA
1. Prove that the halting set is expressible in PA. 2. Prove that the halting set is representable in PA. Tx, C-B ... 3 Jun 2010 23:26

Indefinite integral of function of x with boundary conditions
Hi All, I have this differential equation y'(x) = C/p(x) where C is an unknown that I have to solve for. My boundary conditions are y(0) = a, y(1) = b and p(x) > 0 for all x in [0,1] to make life easier. I am trying to find y(x) and a value for C, but have no idea how to deal with the boundary conditio... 3 Jun 2010 13:25