Math

likelihood ratio question
Let X1,X2,...,Xn and Y1,Y2,...,Yn be independent random samples from two normal distributions N(m1,s^2) and N(m2,s^2) where s^2 is the common but unknown variance How do I find the likelihood ratio for testing Ho:m1=m2=0 against all alternatives? ... 12 May 2010 00:30

Black Watch, Shekhina, S?ances, and Freemasonry
On Tue, 11 May 2010 15:50:51 -0700 (PDT), KIV11 <KIV11(a)hotmail.com> typed: On May 11, 5:52?pm, David Simpson <farook...(a)picknowl.com.au> wrote: Hey, Jon. Didn't you post this same rant some time back? I didn't bother to read it then either. Dave, it wasn't some time ago, it's every freeking day. At... 11 May 2010 20:08

Topos theory: axiom of choice implies a topos is Boolean
In article <hn9av1$m9h$1(a)news.eternal-september.org>, Rotwang <sg552(a)hotmail.co.uk> wrote: Hi all, I'm reading Goldblatt's /Topoi: The Categorial Analysis of Logic/ and am stuck on how to fill in some gaps in a proof.... Sorry to be late responding to this. Rob Goldblatt is in the room next to... 12 May 2010 13:37

Black Watch, Shekhina, S�ances, and Freemasonry
On Tue, 11 May 2010 12:26:39 -0700 (PDT), jon <corn2nemesis(a)yahoo.com> typed: Heterosexual Telepathy.... Black Watch, Shekhina, S�ances, and Freemasonry Hey, Jon. Didn't you post this same rant some time back? I didn't bother to read it then either. -- Regards David Simpson (Unattached MM, Victor... 13 May 2010 13:49

Well Han, you know what they say, 'One mans trash, is another man's treasure'k
On May 11, 4:38 am, Han de Bruijn <umum...(a)gmail.com> wrote: On May 11, 10:15 am, "Martin 'Musatov' Mersenne" <marty.musa...(a)gmail.com> wrote: [ .. snip garbage .. ] So our troll Musatov has even managed to screw up a Wikipedia page: http://en.wikipedia.org/wiki/Subset_sum_problem Han d... 11 May 2010 16:47

Lenght of closed level curves
It seems reasonable to think that if we have a C^infty real function on the plane and a closed level curve C without singular points then there is another closed curve near C which has greater lenght. How could we build a proof? ... 11 May 2010 16:47

Musatov ATTACKS Wikipedia
On May 11, 10:15 am, "Martin 'Musatov' Mersenne" <marty.musa...(a)gmail.com> wrote: [ .. snip garbage .. ] So our troll Musatov has even managed to screw up a Wikipedia page: http://en.wikipedia.org/wiki/Subset_sum_problem Han de Bruijn ... 11 May 2010 07:51

Derivatives of Vector-Valued Functions
Hello, let R be the field of real numbers and f:(c,+inf) -> R^n a twice-differentiable function, where c is a real number and n an integer greater than 1. Let M_0, M_1, M_2 be the least upper bounds of |f(x)|, |f'(x)| and |f''(x)|, respectively, on (c, +inf). Can we have (M_1)^2 > 4*(M_0)*(M_2) for some f? Th... 11 May 2010 08:56

What are some of the more advanced convergence / divergence verification tests for infinite series'?
Cogito wrote: I have the commonly taught ones I consider trivial... all colleges teach these and all calculus texts do as well. Trivial. � "limit of the sequence", "nth term test", or "divergence test" � geometric � p-series � telescoping series � ratio test � absolute convergence tests � alt... 11 May 2010 04:37

Stationary points of circular functions
Find the local maximum and minimum values of f (x) for each of the following and state the corresponding x-value of each. (Consider 0 = x = 2 only.) f(x) = 2cos(x) - [2cos^2(x) - 1] f'(x) = -2sin(x)[1 - 2cos(x)] = 0 x = 0, pi, 2pi, pi / 3, 5pi / 3 I want to use a sign diagram or gradient table to distinguis... 11 May 2010 04:37