Related papers: The Induced Bipartite Ramsey Theorem: An Expositio…
In this paper we prove the WALA conjecture.
A method is proposed to characterize and quantify multipartite entanglement in terms of the probability density function of bipartite entanglement over all possible balanced bipartitions of an ensemble of qubits. The method is tested on a…
In this note we prove an inequality involving primes and the product of consecutive primes.
This paper presents a simple proof of Dekel (1986)'s representation theorem for betweenness preferences. The proof is based on the separation theorem.
In a recent paper, the author introduced an operational description of physical theories where probabilities are replaced by counterfactual statements belonging to a three-valued (i.e. possibilistic) semantic domain. The complete axiomatic…
In this note we give two proofs of Brooks' Theorem. The first is obtained by modifying an earlier proof and the second by combining two earlier proofs. We believe these proofs are easier to teach in Computer Science courses.
We consider random fields admitting a spectral representation with infinitely divisible integrator and prove some of their properties.
We use G\"{o}del's Dialectica interpretation to produce a computational version of the well known proof of Ramsey's theorem by Erd\H{o}s and Rado. Our proof makes use of the product of selection functions, which forms an intuitive…
We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.
The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.
We propose a proof of the Lagrange Interpolation Formula based on the Chinese Remainder Theorem for arbitrary rings. Even such relationships are known, we think that our viewpoint is worth being published.
In 2012 M. Soki\'c proved that the class of all finite permutations has the Ramsey property. Using different strategies the same result was then reproved in 2013 by J. B\"ottcher and J. Foniok, in 2014 by M. Bodirsky and in 2015 yet another…
A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.
A unified version of Machado-Bishop theorem in weighted spaces is given. A number of applications illustrate its importance.
This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures in Section~1. Section~2 treats quantum mechanics and discusses the statistics of bounded operators on a Hilbert…
A proof is given of Rosenthal's \(\ell_1\) theorem.
We prove several extensions of the Erdos-Fuchs theorem.
In this article we furnish a new simple proof of a hard identity from the theory of cubature formulas via the method of coefficients.
We prove that persuasion is an NP-complete problem.
This article contains the proof of a theorem on orthogonal-Pin duality that was cited without proof in a previous article in this journal.