Related papers: On two Kuznetsov's conjectures
We consider the conjecture of Brutman and Pasow on a totality divided differences and prove the conjecture for continuous functions.
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.
In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.
These are some notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel).
A proof is given of Rosenthal's \(\ell_1\) theorem.
In this paper we present a complete proof of a conjecture due to V. V. Prelov in 2010 about an information inequality for the binary entropy function.
We give an explicit counterexample to an entanglement inequality suggested in a recent paper [quant-ph/0005126] by Benatti and Narnhofer. The inequality would have had far-reaching consequences, including the additivity of the entanglement…
We prove some extensions of Andrews inequality.
We prove a recent conjecture by Ulas on reducible polynomial substitutions.
We survey recent developments on the Restriction conjecture.
A very short proof of Kneser's theorem via transversal is given.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
The paper is devoted to an algebraic interpretation of Kuznetsov's theorem which establishes the assertoric equipollence of intuitionistic and proof-intuitionistic propositional calculi. Given a Heyting algebra, we define an enrichable…
We present a direct proof of the second conjecture made by M. Atiyah and P. Sutcliffe for the case of convex quadrilaterals. Unlike previous work on this conjecture, our proof does not require any computer aided computations. The new proof…
We present a counterexample to Conjecture~14.1.6 from [Vladimir Kanovei, Borel equivalence relations], regarding Borel equivalence relations on product spaces.
We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.
We prove a variation of Gronwall's lemma.
We prove a conjecture of Meszaros and Morales on the volume of a flow polytope. Independently from our work, Zeilberger sketched a proof of their conjecture. In fact, our proof is the same as Zeilberger's proof. The purpose of this note is…
We suggest an alternative proof of a theorem due to Lambek and Moser using a perceptible model.