scholarly journals A short note on hit-and-miss hyperspaces

2003 ◽  
Vol 4 (2) ◽  
pp. 281
Author(s):  
René Bartsch ◽  
Harry Poppe
Keyword(s):  
Recent Result ◽  
Short Note

<p>Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “κ-Lindelöfness” and “κ-compactness” for cardinals κ. To focus only hit-and-miss structures, could look quite old-fashioned, but some importance, at least for the techniques, is given by a recent result, [8], of Som Naimpally, to who this article is hearty dedicated.</p>

scholarly journals Note on Long Paths in Eulerian Digraphs

2021 ◽  
Vol 28 (2) ◽  
Author(s):  
Charlotte Knierim ◽  
Maxime Larcher ◽  
Anders Martinsson
Keyword(s):  
Recent Result ◽  
Short Note ◽  
Average Degree ◽  
Logarithmic Factor ◽  
Long Paths

Long paths and cycles in Eulerian digraphs have received a lot of attention recently. In this short note, we show how to use methods from [Knierim, Larcher, Martinsson, Noever, JCTB 148:125--148] to find paths of length $d/(\log d+1)$ in Eulerian digraphs with average degree $d$, improving  the recent result of $\Omega(d^{1/2+1/40})$. Our result is optimal up to at most a logarithmic factor.  

scholarly journals Note on the Multicolour Size-Ramsey Number for Paths,

10.37236/7954 ◽  
2018 ◽  
Vol 25 (3) ◽  
Author(s):  
Andrzej Dudek ◽  
Paweł Prałat
Keyword(s):  
Recent Result ◽  
Upper Bound ◽  
Short Note ◽  
Ramsey Number ◽  
Alternative Proof ◽  
Monochromatic Copy

The size-Ramsey number $\hat{R}(F,r)$ of a graph $F$ is the smallest integer $m$ such that there exists a graph $G$ on $m$ edges with the property that any colouring of the edges of $G$ with $r$ colours yields a monochromatic copy of $F$. In this short note, we give an alternative proof of the recent result of Krivelevich that $\hat{R}(P_n,r) = O((\log r)r^2 n)$. This upper bound is nearly optimal, since it is also known that $\hat{R}(P_n,r) = \Omega(r^2 n)$.

A NOTE ON A COMPLETE SOLUTION OF A PROBLEM POSED BY K. MAHLER

2018 ◽  
Vol 98 (1) ◽  
pp. 60-63
Author(s):  
DIEGO MARQUES ◽  
CARLOS GUSTAVO MOREIRA
Keyword(s):  
Recent Result ◽  
Real Number ◽  
Complete Solution ◽  
Short Note ◽  
Radius Of Convergence ◽  
Complex Conjugation ◽  
Exceptional Set ◽  
Exceptional Sets ◽  
Transcendental Functions

Let $\unicode[STIX]{x1D70C}\in (0,\infty ]$ be a real number. In this short note, we extend a recent result of Marques and Ramirez [‘On exceptional sets: the solution of a problem posed by K. Mahler’, Bull. Aust. Math. Soc.94 (2016), 15–19] by proving that any subset of $\overline{\mathbb{Q}}\cap B(0,\unicode[STIX]{x1D70C})$, which is closed under complex conjugation and contains $0$, is the exceptional set of uncountably many analytic transcendental functions with rational coefficients and radius of convergence $\unicode[STIX]{x1D70C}$. This solves the question posed by K. Mahler completely.

A note on a theorem of Baer

2018 ◽  
Vol 17 (03) ◽  
pp. 1850044
Author(s):  
Haoran Yu
Keyword(s):  
Recent Result ◽  
Short Note ◽  
Baer’S Theorem

In this short note, we generalize a recent result of Zhang [A generalization of Baer’s theorem, Comm. Algebra (2017), doi: 10.1080/00927872.2017.1287275].

Introduction

2018 ◽  
Author(s):  
Peter Hopkins
Keyword(s):  
Final Section ◽  
Short Note ◽  
Current Situation ◽  
Research Projects ◽  
Everyday Lives ◽  
Early Settlement ◽  
The Everyday ◽  
Initial Research

The chapters in this collection explore the everyday lives, experiences, practices and attitudes of Muslims in Scotland. In order to set the context for these chapters, in this introduction I explore the early settlement of Muslims in Scotland and discuss some of the initial research projects that charted the settlement of Asians and Pakistanis in Scotland’s main cities. I then discuss the current situation for Muslims in Scotland through data from the 2011 Scottish Census. Following a short note about the significance of the Scottish context, in the final section, the main themes and issues that have been explored in research about Muslims in Scotland.

Short Note: A Record of Twin Fetuses in a Harbor Porpoise (Phocoena phocoena) Stranded on the Dutch Coast

2014 ◽  
Vol 40 (4) ◽  
pp. 394-397 ◽  
Author(s):  
Lonneke L. IJsseldijk ◽  
Andrea Gröne ◽  
Sjoukje Hiemstra ◽  
Jeroen Hoekendijk ◽  
Lineke Begeman
Keyword(s):  
Short Note ◽  
Phocoena Phocoena ◽  
Harbor Porpoise ◽  
Dutch Coast

Short Note: Predation of Harbour Porpoises (Phocoena phocoena) by Grey Seals (Halichoerus grypus) in Wales

2015 ◽  
Vol 41 (2) ◽  
pp. 188-191 ◽  
Author(s):  
Thomas Stringell ◽  
Dave Hill ◽  
Dafydd Rees ◽  
Ffion Rees ◽  
Padrig Rees ◽  
...  
Keyword(s):  
Short Note ◽  
Halichoerus Grypus ◽  
Phocoena Phocoena

Impact of Optimal Cropping Patterns on Incomes in a Punjab District

1976 ◽  
Vol 15 (2) ◽  
pp. 218-221
Author(s):  
M. Arshad Chaudhry
Keyword(s):  
Developing Countries ◽  
Linear Programming ◽  
Short Note ◽  
Cropping Pattern ◽  
Small Farms ◽  
Cropping Patterns ◽  
Punjab Province ◽  
Optimal Cropping

To improve farm incomes in developing countries, the foremost question that the farmer must address himself to is: what cropping pattern best uses the fixed resources in order to get the highest returns? During the last decade, the agricultural economists have shown great interest in applying the tools of linear programming to individual farms. Most of the studies conducted elsewhere have shown that, under existing cropping pattern, farm resources were not being utilized optimally on the small farms.[l, 4]. We conducted a survey in the canal-irrigated areas of the Punjab province of Pakistan1 to investigate into the same problem. This short note aims at identifying the opti¬mal cropping pattern and to estimate the increase in farm incomes as a result of a switch towards it on the sampled farms.

Short Note Chromosomal Homology between the Human and the Bovine DMRT1 Genes

2008 ◽  
Vol 57 (1) ◽  
pp. 29-32
Author(s):  
Anna Bratuś ◽  
Monika Bugno ◽  
Jolanta Klukowska-Rötzler ◽  
Małgorzata Sawińska ◽  
Andre Eggen ◽  
...  
Keyword(s):  
Short Note ◽  
Chromosomal Homology
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