相关论文: A note on Darwiche and Pearl

In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related…

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

In this short note we present some remarks and conjectures on two of Erd\"os's open problems in number theory.

In this paper, we give an affirmative answer to a conjecture raised by Polini and Ulrich.

We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.

We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

The aim of this note is to show that Poincar\'e inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar\'e inequalities are considered, too. The proof is short and does not involve covering…

This paper discusses the likelihood of whether the Pioneer anomaly is due to 'mundane' systematic errors/effects or indicative of new or unappreciated physics. The main aim of this paper is to argue that recent publications suggesting that…

We suggest an alternative proof of a theorem due to Lambek and Moser using a perceptible model.

The authors of the Comment ascribe us claims never made while moderating their own previous unsubstantiated statements.

The original proof of the Sharkovsky theorem is presented in full detail. The proof should be accessible to readers with basic Real Analysis background. Although nowadays there are several alternative proofs of this classical result, we…

Theory of Probability is distinguished by several high-level philosophical attitudes, some stressed by Jeffreys, some implicit. By reviewing these we may recognize the importance in this work in the historical development of statistics.…

A survey of properties of a sequence of coefficients appearing in the evaluation of a quartic definite integral is presented. These properties are of analytical, combinatorial and number-theoretical nature.

Some of the theoretical motivations and experimental developments leading to the discovery of charm are recalled.

Capelli's and Turnbull's classical identities are given elegant combinatorial proofs.

There are several reasons to believe that some of the new particles observed at B-factories have no ordinary quark composition. We briefly illustrate the diquark-antidiquark model and the recent experimental discoveries which confirm some…

In this addendum to [4], we provide a pair of counterexamples relevant to the theory of implicit operations. More precisely, we exhibit a pp expansion of a variety that fails to be a variety (although it is a quasivariety). Furthermore, we…

This note being devoted to some aspects of the inverse problem of representation theory contains a new insight into it illustrated by two topics. The attention is concentrated on the manner of representation of abstract objects by the…

In this note we shall give a new proof to a quadrature formulae due to Newton.

The purpose of this short note is to demonstrate how some techniques from additive combinatorics recently developed by Peluse and Peluse-Prendiville can be applied to give an alternative proof for a trilinear smoothing inequality originally…