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In this paper we give a generalization of a result of Wei.

组合数学 · 数学 2008-02-19 Nedyalko Nenov

In this paper, we give a short proof of a relation generalizing many identities for Bernoulli numbers.

组合数学 · 数学 2015-06-29 Abdelmoumène Zekiri , Farid Bencherif

In this paper, using Bourbaki's convention, we consider a simple Lie algebra $\mathfrak g\subset\mathfrak g\mathfrak l_m$ of type B, C or D and a parabolic subalgebra $\mathfrak p$ of $\mathfrak g$ associated with a Levi factor composed…

表示论 · 数学 2020-12-23 Florence Fauquant-Millet

The Weierstrass semigroups and pure gaps can be helpful in constructing codes with better parameters. In this paper, we investigate explicitly the minimal generating set of the Weierstrass semigroups associated with several totally ramified…

信息论 · 计算机科学 2017-07-07 Shudi Yang , Chuangqiang Hu

In this paper we use the Vandermonde matrices and their properties to give a new proof of the classical result of Karl Weierstrass about the approximation of continuous functions $f$ on closed intervals, using a sequence of polynomials. The…

经典分析与常微分方程 · 数学 2025-07-02 José M. González Barrios , Alberto Contreras-Cristán , Patricia I. Romero-Mares

In this note a characterization of anallytically Riesz operators is given. This work completes the article [1].

泛函分析 · 数学 2015-07-21 Enrico Boasso

We discuss an algebraic identity, due to Sylvester, as well as related algebraic identities and applications.

组合数学 · 数学 2023-11-17 Bogdan Nica

A variation of Dyck paths allows for down-steps of arbitrary length, not just one. Credits for this invention are given to Emeric Deutsch. Surprisingly, the enumeration of them is somewhat akin to the analysis of Motzkin-paths; the last…

组合数学 · 数学 2020-04-16 Helmut Prodinger

A very short proof of Kneser's theorem via transversal is given.

组合数学 · 数学 2021-09-16 Luis Montejano

A Short Course on Frame Theory.

信息论 · 计算机科学 2011-04-22 Veniamin I. Morgenshtern , Helmut Bölcskei

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

偏微分方程分析 · 数学 2023-11-21 Florian Oschmann

The talk presents the main lines of biography of the prominent physicist and bright personality. Also given is a necessarily brief description of Gribov's scientific work.

物理学史与哲学 · 物理学 2016-11-03 Ya. I. Azimov

Letter to the Editor: Some comments on "On construction of the smallest one-sided confidence interval for the difference of two proportions" by Weizhen Wang [arXiv:1002.4945].

统计理论 · 数学 2012-11-16 Chris Lloyd , Paul Kabaila

We present a number of relations involving the number of cliques in a graph and its spectral radius.

组合数学 · 数学 2007-05-23 Bela Bollobas , Vladimir Nikiforov

We consider the problem of determining Weierstrass gaps and pure Weierstrass gaps at several points. Using the notion of relative maximality in generalized Weierstrass semigroups due to Delgado \cite{D}, we present a description of these…

代数几何 · 数学 2018-03-26 Wanderson Tenório , Guilherme Tizziotti

A brief review of Heisenberg's life and work: participating in the youth movement in the aftermath of World War I, creating quantum mechanics, conflict with "deutsche Physik", involvement in "Hitler's Uranium Project", last illusions.…

物理学史与哲学 · 物理学 2007-05-23 Ivan Todorov

We appended an errata to the original submission. The purpose of this errata is to point out two errors in [2] and give a weakened version of those statements made.

概率论 · 数学 2024-07-02 Erhan Bayraktar , Gaoyue Guo

We extend results on Weierstrass semigroups at ramified points of double covering of curves to any numerical semigroup whose genus is large enough. As an application we strengthen the properties concerning Weierstrass weights in \cited{To}.

alg-geom · 数学 2008-02-03 Fernando Torres

We give a brief historical overview of the famous Pythagoras' theorem and Pythagoras. We present a simple proof of the result and dicsuss some extensions. We follow \cite{thales}, \cite{wiki} and \cite{wiki2} for the historical comments and…

历史与综述 · 数学 2015-09-23 Manjil P. Saikia

Using the fact that any minimal strongly regular surface carries locally canonical principal parameters, we obtain a canonical representation of these surfaces, which makes more precise the Weierstrass representation in canonical principal…

微分几何 · 数学 2008-02-19 Georgi Ganchev