The polarization tomography problem consists of recovering a matrix function f from the fundamental matrix of the equation Dη/dt = πγ̇fη known for every geodesic γ of a given Riemannian metric. Here πγ̇ is the orthogonal projection onto the hyperplane γ̇⊥. The problem arises in optical tomography of slightly anisotropic media. The local uniqueness theorem is proved: a C1-small function f can be re...

let $pi_e(g)$ be the set of element orders of a finite group $g$‎. ‎let $nse(g)={m_nmid ninpi_e(g)}$‎, ‎where $m_n$ be the number of elements of order $n$ in $g$‎. ‎in this paper‎, ‎we prove that if $nse(g)=nse(l_2(81))$‎, ‎then $gcong l_2(81)$‎.

Now that we have seen an informal statement of the learning problem, as well as acquired some technical tools in the form of concentration inequalities, we can proceed to define the learning problem formally. Recall that the basic goal is to be able to predict some random variable Y of interest from a correlated random observation X , where the predictor is to be constructed on the basis of n i...

the problem of evil, as the issue has been brought against the existence of god of religions, are discussed theoretically and practically.in the practical problem of evil practical direction of evils in life and their effect on faith of humans checked and this question is answered that the arrival times of evil, how do we maintain our faith? in this article efficiency of solutions of muslim phi...