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In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski space has a symplectic structure which is induced by the projection from ...
A rigorous proof is given on the equivalence of the O(3) nonlinear sigma model and the CP1 model via path integral approach.
I will review the main observational properties of the new Galactic High Mass X-ray Binaries discovered by the INTEGRAL satellite in the hard energy range 17-100 keV.
We analyse SPI/INTEGRAL data on the 511 keV line from the Galactic Centre, accumulated over ~6 years of observations.
To describe the physical reality, there are two ways of constructing the dynamical equation of field, differential formalism and integral formalism. The importance of this fact is firstly emphasized b...
A general procedure for constructing conservative numerical integra-tors for time dependent partial di erential equations is presented. In particular, linearly implicit methods preserving a time avera...
We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.
We provide additional methods for the evaluation of the integral N0,4(a;m) := Z 1 0 dx (x4 + 2ax2 + 1)m+1 where m 2 N and a 2 (−1,1) in the form N0,4(a;m) = 2m+3/2(a + 1)m+1/2 Pm(a) where Pm(a...
A simple formula for computing the generalized Hubbell radiation rectangular source integral H  a, b, p, λ α, β, γ  = σa 4π Z b 0 x(x2 + p)− 2F1(α, β; γ;− a2\ x2 + p )dx, is introduce...
For weighted Toeplitz operators T N ' defined on spaces of holomorphic functions in the unit ball, we derive regularity prop-erties of the solutions f to the integral equation T N ' (f) = h in terms o...
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...
In some previous papers we have defined and studied a ’magnetic’ pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we...
In [GN2] an effective solution of the lattice point counting problem in general domains in semisimple S-algebraic groups and affine symmetric varieties was established. The method relies on the mean e...
By dividing hypergeometric series representations of the inverse sine by sin-1(x) and ntegrating, new double series representations of integers and constants arise. Binomial coefficients and the sine ...
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...

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