Math

Fermat's Last Theorem approach?
Suppose Fermat's Last Theorem could be proven for all n and a,b,c of the form: sum(i=0,k) d_i*2^(m*i), for all k>=0, and one m=n^3, where d_i is an element of {0,1}, and q_n is an integer constant for each n. Or, stated using regular expressions to describe the base 2 representation: a,b,c elements of {((0|1)0... 9 May 2010 11:03

Circle-Circle Intersection
I am trying to determine the equation to give the distance (d) between the centers of two circles of known area (AreaA, AreaB) such that their overlap (AreaO) comprises a desired area. For instance with Circle A with an area of 314 units^2 (radius=10) and Circle B with an area of 452 units^2 (radius = 12), how far... 12 May 2010 12:30

properties of a monotonic piecewise linear convex function
Anyone please help :) I want to know if it is true that for a piecewise linear function g on a compact set X, the subgradients of any two connected pieces points to the similar directions (except for those touch the minimum) in the sense that (g1.*g2)>0? or something like (g1-g2).*(x1-x2) >= 0? Sorry I am an e... 5 May 2010 20:31

Pullback of the Volume Form under a Conformal Transformation
Let (M,g) be a Riemannian manifold of dimension n. A diffeomorphism F is a conformal transformation if F*g = e^{2w} g for a smooth function w on M. The metric g gives rise to the volume form dV. It is not obvious (to me, anyway) that F*dV = e^{nw} dV. Using the definitions of pullback for g and dV yiel... 5 May 2010 18:17

Pullback of the Volume Form Under a Conformal Transformation
Let (M,g) be a Riemannian manifold of dimension n. A diffeomorphism F is a conformal transformation if F*g = e^{2w} g for a smooth function w on M. The metric g gives rise to the volume form dV. It is not obvious (to me, anyway) that F*dV = e^{nw}. Using the definitions of pullback for g and dV yield f... 5 May 2010 18:17

k-tuple is wrong
http://vixra.org/pdf/1003.0234v1.pdf ... 6 May 2010 02:01

? inversely interpolate
Hi: Interpolation is a common technique to determine the value of dependent variable for a given independent variable when we only have discrete data set. However, sometimes we want to know the value of the independent variable for a particular value of dependent variable. Suppose again we only have disc... 6 May 2010 07:27

Homeomorphisms and Lebesgue Measure
Hello, let R be the set of real numbers. Let A, b be two subsets of R and f:A-> B a homeomorphism. If A is Lebesgue measurable, is also B Lebesgue mesurable? I don't if the question is trivial or not, because I know very little about Lebesgue measure theory. Thank you very much for your attention. My Best Reg... 5 May 2010 14:54

My monkey has syphilis. Send me money for a cure.
Pentcho Valev wrote: According to Newton's emission theory of light, the SPEED of light varies with the speed of the observer. According to Maxwell's theory, the SPEED of light varies with the speed of the observer. According to Einstein's special relativity, the WAVELENGTH of light varies wit... 5 May 2010 12:39

Vector sublattice generated by a finite set
Will a vector sublattice (i.e. subspace closed under joins and meets (and also module)) generated by a finite set be finite-dimensional? If not in general, what if the original space was an order complete Banach space? ... 5 May 2010 11:32