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A Simple Proof of the Ahlswede-Csiszk One-Bit Theorem
Simple Proof Ahlswede-Csiszk One-Bit Theorem
2015/8/12
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...
A simple proof of Sarkozy's theorem
Sarkozy's theorem Number Theory Classical Analysis and ODEs
2011/8/23
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...
Simple proof of the functional relation for the Lerch type Tornheim double zeta function
Functional relation Lerch type Tornheim double zeta function
2011/1/18
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 ...
A simple proof of orientability in the colored Boulatov model
simple proof of orientability colored Boulatov model
2011/2/22
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...
A simple proof of a generalization of the Chu-Vandermonde identity
simple proof generalization Chu-Vandermonde identity
2011/1/18
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...
A simple proof of Tyurin's babylonian tower theorem
Tyurin's babylonian tower theorem math
2010/11/9
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...
A simple proof of the isoperimetric theorem for the hyperbolic plane
isoperimetric theorem hyperbolic plane
2010/11/30
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...
A Simple Proof of Thue's Theorem on Circle Packing
Simple Proof Thue's Theorem Circle Packing
2010/12/10
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:
A Simple Proof of the Geometric-Arithmetic Mean Inequality
Arithmetic mean Geometric mean Inequality
2010/1/25
In this short note, we give another proof of the Geometric-Arithmetic Mean inequality.
A simple proof of Sylvester's (determinants) identity
Dodgsons Algorithm Matrix Determinant
2010/9/13
In this paper we give a simple proof of Sylvester Identity that is based on determinant properties and that is obtained inductively.
A simple proof of Sylvester's (determinants) identity
Dodgsons Algorithm Matrix Determinant
2010/9/13
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].