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We briefly explore a sequence that came up in recent work of Tirrell and Zhuang. We discover an unusual phenomenon where the sequence appears at first to have periodic behavior but eventually has non-periodic fluctuations.

组合数学 · 数学 2019-07-31 Justin M. Troyka

Notions of sesquiconstructible complexes and odd iterated stellar subdivisions are introduced, and some of their basic properties are verified. The Charney-Davis conjecture is then proven for odd iterated stellar subdivisions of…

组合数学 · 数学 2008-06-27 Andrew Frohmader

We collect together various facts about G_2 and Spin(7) geometry which are likely well known but which do not seem to have appeared explicitly in the literature before. These notes should be useful to graduate students and new researchers…

微分几何 · 数学 2010-07-14 Spiro Karigiannis

These are yet another lecture notes on Seiberg-Witten invariants, where no claim of originality is made, they contain a discussion of some related results from the recent literature.

alg-geom · 数学 2008-02-03 Selman Akbulut

The present note sketches a theory of constructs.

组合数学 · 数学 2019-07-30 Edinah K. Gnang , Jeanine S. Gnang

The possibility that the apparent anomalous acceleration of the Pioneer 10 and 11 spacecraft may be due, at least in part, to a chameleon field effect is examined. A small spacecraft, with no thin shell, can have a more pronounced anomalous…

广义相对论与量子宇宙学 · 物理学 2012-07-24 John D. Anderson , J. R. Morris

These notes present some elements of causality theory. While they are not as complete as other treatments of the topic, there is some originality in that the whole approach is based on a definition of causal curves which allows to simplify…

广义相对论与量子宇宙学 · 物理学 2011-11-01 Piotr T. Chruściel

The aim of this short note is to give counterexamples to two results by D. Y. Gao [5, Th. 16], [4, Th. 2] and to improve a related result by S.-C. Fang, D. Y. Gao, R.-L. Sheu and S.-Y. Wu [1, Th. 3].

最优化与控制 · 数学 2010-08-26 M. D. Voisei , C. Zalinescu

We give an account of the arguments that lead from the assumption of the existence of exceptional characters to the asymptotics in related ranges for the counting function of twin primes.

数论 · 数学 2016-07-13 John B. Friedlander , Henryk Iwaniec

The characterization mentioned in the title is found.

泛函分析 · 数学 2007-05-23 Y. A. Abramovich , A. K. Kitover

In this note, we correct an oversight from the paper mentioned in the title.

数论 · 数学 2011-12-15 José María Grau , Florian Luca

This short note present a "proof" of $P\neq NP$. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).

计算复杂性 · 计算机科学 2021-10-15 Tianrong Lin

This note supplements our paper "Induced nets and Hamiltonicity of claw-free graphs", by giving the detailed proof that were omitted in it.

组合数学 · 数学 2018-03-26 S. Chiba , J. Fujisawa

We study additively graceful labelings of signed graphs on stars and double stars. While the case of signed stars is straightforward, the problem becomes significantly more intricate for signed double stars. We obtain a characterization of…

组合数学 · 数学 2026-04-24 Brian DSouza , Jessica Pereira

This article is intended as a compendium and guide to the variety of Bell Inequality derivations that have appeared in the literature in recent years, classifying them into six broad categories, revealing the underlying, often hidden,…

量子物理 · 物理学 2007-05-23 Ken Williams

In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.

数论 · 数学 2015-05-19 Taekyun Kim

The paper covers known facts about the Dixmier trace (with some generalities about traces), the Wodzicki residue, and Connes' trace theorem, including two variants of proof of the latter. Action formulas are treated very sketchy, because…

数学物理 · 物理学 2007-05-23 P. M. Alberti , R. Matthes

Some observations on the Wu-Sprung potential.

经典分析与常微分方程 · 数学 2007-05-23 Diego Dominici

I give some claims on primorial prime numbers for interested readers in number theory.

综合数学 · 数学 2007-05-23 Turker Ozsari

There are several versions of Bell's inequalities, proved in different contexts, using different sets of assumptions. The discussions of their experimental violation often disregard some required assumptions and use loose formulations of…

量子物理 · 物理学 2009-11-07 Angel G. Valdenebro