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It is proved that if (X, Y) are two finite alphabet correlated sources with p(x, JJ) > 0 for all (x, v) E (XX g), and if a function F(X, Y) is a-sensitive, then the rate R of transmission from X to Y ...
Abstract: In this note we exhibit a very simple proof of McNaughton Theorem, almost right out of the definitions, and at the same time we observe that this theorem does not depend of Chang's completen...
Abstract: It is a striking and elegant fact (proved independently by Furstenberg and Sarkozy) that in any subset of the natural numbers of positive upper density there necessarily exist two distinct e...
In this paper, we give a simple proof of the functional relation for the Lerch type Tornheim double zeta function. By using it, we obtain simple proofs of some explicit evaluation formulas for double ...
In this short note we use results from the theory of crystallizations to prove that color in group eld theories garantees orientability of the piecewise linear pseudo-manifolds associated to each gra...
We provide a simple proof of a generalization of the multivariate Chu-Vandermonde identity recently derived in Favaro et al. (2010a). Exploiting known results for rising factorials and fourth Lauricel...
Using the method of Coand\u{a} and Trautmann (2006), we give a simple proof of the following theorem due to Tyurin (1976) in the smooth case: if a vector bundle $E$ on a $c$-codimensional locally Cohe...
In this expository note, we present a simple proof of the Fredholm Alternative for compact operators that are norm limits of finite rank operators. We also prove a Fredholm Alternative for pseudodiffe...
В этой методической заметке приводятся четкая формулировка и короткое доказа-тельство основного результата работы [A] (см. ниже), а также проясняется его связь с изопериметрической теоремой для плоско...
Thue's theorem states that the regular hexagonal packing is the densest circle packing in the plane. The density of this circle con guration is  p12  0:906 90:
In this short note, we give another proof of the Geometric-Arithmetic Mean inequality.
In this paper we give a simple proof of Sylvester Identity that is based on determinant properties and that is obtained inductively.
In this paper we give a simple proof of Sylvester Identity that is based on determinant properties and that is obtained inductively.
In this paper we give a simple proof of Schipp's theorem by using a basic martingale inequality.
In this note we prove a large deviation result for a perturbed discontinuous inhomogeneous system which complements[1].

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