相关论文: A note on Darwiche and Pearl

The paper presents a counterexample to the Hodge conjecture.

In the paper it is demonstrated that Bells theorem is an unprovable theorem.

We prove some extensions of Andrews inequality.

This note presents an interesting counterexample to a basic covering problem.

We discuss some seemingly unrelated observations on integers, whose close or farther away neighbors show a complex of combinatorial, ordering, arithmetical or probabilistic properties, emphasizing puzzlement in more common expectations.

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

Our research is motivated by recent work of Cook II, Harbourne, Migliore, and Nagel on configurations of points in the projective plane with properties that are unexpected from the point of view of the postulation theory. In this note, we…

This note imparts heuristic arguments and theorectical evidences that contradict the abc conjecture over the rational numbers. In addition, the rudimentary datails for transforming this problem into the doimain of equidistribution theory…

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

New cases of the multiplicity conjecture are considered.

A conjecture regarding the structure of expander graphs is discussed.

A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.

An observation on Hall-Littlewood polynomials.

This note is the follow up to a paper by M. Waldschmidt.

We give an abstract approach to the results of Adams and Nobel, [1]. It allows to exhibit a new property of VC classes. It should be stressed that the basic ideas of proofs can be found in [1].

Proietti et al. (arXiv:1902.05080) reported on an experiment designed to settle, or at least to throw light upon, the paradox of Wigner's friend. Without questioning the rigor or ingenuity of the experimental protocol, I argue that its…

The Lueders postulate is reviewed and implications for the distinguishability of observables are discussed. As an example the distinguishability of two similar observables for spin-1/2 particles is described. Implementation issues are…

In this paper, we derive some interesting symmetric properties for the geenralized Euler numbers and polynomials.

In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each other modulo any prime.

In this note, we study a certain class of trigonometric series which is important in many problems. An unproved statement in Zygmund's book [5] will be proved and generalized. Further discussions based on this problem will also be made…