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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 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: