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The categories of almost modules and almost algebras are introduced as a convenient setting for the development of Faltings' method of almost etale extensions. After some preliminaries of general "almost homological algebra" we construct…

Algebraic Geometry · Mathematics 2007-05-23 Ofer Gabber , Lorenzo Ramero

We summarize previous work on $\bar b \bar bud$ four-quark systems in the Born-Oppenheimer approximation and discuss first steps towards an extension to the theoretically more challenging $b\bar b u\bar d$ system. Strategies to identify a…

High Energy Physics - Lattice · Physics 2018-04-10 Antje Peters , Pedro Bicudo , Marc Wagner

We present and discuss a number of known results and open problems abelian squares in words on small alphabets.

Combinatorics · Mathematics 2018-02-14 Jamie Simpson

In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadratic functions are presented. In particular, conditions…

Optimization and Control · Mathematics 2018-04-10 O. P. Ferreira , S. Z. Németh , L. Xiao

It is shown that the sum of squares by Yates's method of weighted squares of means is equivalent to numerator sums of squares formulated by other methods. These relations are established first for hypotheses about fixed effects in a general…

Methodology · Statistics 2016-09-29 Lynn R. LaMotte

We examine $q-$series related to higher forms. These forms are cubics, quartics, etc. In some points, in the article we add parts from previous works, in such a way, the article be more complete and readable.

General Mathematics · Mathematics 2024-04-10 Nikolaos D. Bagis

This paper aims to give a further study on quasi-convex subsets in Alexandrov spaces with lower curvature bound which are introduced in [SSW]. We first provide new insights on quasi-convex subsets (Theorem A and Corollary C), and then as…

Metric Geometry · Mathematics 2020-12-17 Xiaole Su , Hongwei Sun , Yusheng Wang

We introduce quasi-Prufer extensions of rings in order to relativize the notion of quasi-Prufer domains and to take into account some contexts recently introduced in the literature. We also introduce almost-Prufer ring extensions.…

Commutative Algebra · Mathematics 2016-11-01 Gabriel Picavet , Martine Picavet-L'Hermitte

In this paper, we study functional approximations where we choose the so-called radial basis function method and more specifically, quasi-interpolation. From the various available approaches to the latter, we form new quasi-Lagrange…

Numerical Analysis · Mathematics 2023-09-07 Martin Buhmann , Janin Jäger , Joaquín Jódar , Miguel L. Rodríguez

Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and P. Chandra [1,2].

Classical Analysis and ODEs · Mathematics 2012-12-06 Wlodzimierz Lenski , Bogdan Szal

In this paper, we give a simple proof and some generalizations of results in Falset, Llorens-Fuster, Marino, and Rugiano (2016).

Functional Analysis · Mathematics 2020-12-29 Koji Aoyama

We prove some extensions of Andrews inequality.

Differential Geometry · Mathematics 2020-11-02 Hao Fang , Biao Ma , Wei Wei

We built some congruences on semigroups, from where a decomposition of quasi-separative semigroups was obtained.

Group Theory · Mathematics 2007-05-23 Yu. I. Krasilnikova , B. V. Novikov

In this paper we address the problem of finding well approximating lattices for a given finite set $A$ of points in ${\mathbb R}^n$. More precisely, we search for $\v{o},\v{d_1}, \dots,\v{d_n}\in \mathbb{R}^n$ such that $\v{a}-\v{o}$ is…

Number Theory · Mathematics 2016-04-21 A. Hajdu , L. Hajdu , R. Tijdeman

A set in $\mathbb R^d$ is called almost-equidistant if for any three distinct points in the set, some two are at unit distance apart. First, we give a short proof of the result of Bezdek and L\'angi claiming that an almost-equidistant set…

Metric Geometry · Mathematics 2019-04-18 Alexandr Polyanskii

The purpose of this note is to discuss several results that have been obtained in the last decade in the context of sharp adjoint Fourier restriction/Strichartz inequalities. Rather than aiming at full generality, we focus on several…

Classical Analysis and ODEs · Mathematics 2017-01-25 Damiano Foschi , Diogo Oliveira e Silva

We find the closest approximation to 1 from below using a sum of $n$ Egyptian fractions.

Classical Analysis and ODEs · Mathematics 2007-05-23 K. Soundararajan

In this paper we study quadratic forms which are universal when restricted to almost prime inputs, establishing finiteness theorems akin to the Conway--Schneeberger 15 theorem.

Number Theory · Mathematics 2021-07-06 Soumyarup Banerjee , Ben Kane

The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.

Number Theory · Mathematics 2007-05-23 Yann Bugeaud , Michel Laurent

We introduce a general definition of almost $p$-summing mappings and give several concrete examples of such mappings. Some known results are considerably generalized and we present various situations in which the space of almost $p$-summing…

Functional Analysis · Mathematics 2007-05-23 Daniel M. Pellegrino