scholarly journals Hamming distance from irreducible polynomials over $\mathbb {F}_2$

2007 ◽  
Vol DMTCS Proceedings vol. AH,... (Proceedings) ◽  
Author(s):  
Gilbert Lee ◽  
Frank Ruskey ◽  
Aaron Williams

International audience We study the Hamming distance from polynomials to classes of polynomials that share certain properties of irreducible polynomials. The results give insight into whether or not irreducible polynomials can be effectively modeled by these more general classes of polynomials. For example, we prove that the number of degree $n$ polynomials of Hamming distance one from a randomly chosen set of $\lfloor 2^n/n \rfloor$ odd density polynomials, each of degree $n$ and each with non-zero constant term, is asymptotically $(1-e^{-4}) 2^{n-2}$, and this appears to be inconsistent with the numbers for irreducible polynomials. We also conjecture that there is a constant $c$ such that every polynomial has Hamming distance at most $c$ from an irreducible polynomial. Using exhaustive lists of irreducible polynomials over $\mathbb{F}_2$ for degrees $1 ≤ n ≤ 32$, we count the number of polynomials with a given Hamming distance to some irreducible polynomial of the same degree. Our work is based on this "empirical" study.

2018 ◽  
Vol 6 (2) ◽  
pp. 99-115
Author(s):  
Borislav Marušić ◽  
Sanda Katavić-Čaušić

Abstract The aim of this paper is to research the word class adjective in one sequence of the ESP: Business English, more precisely English business magazines online. It is an empirical study on the corpus taken from a variety of business magazines online. The empirical analysis allows a comprehensive insight into the word class adjective in this variety of Business English and makes its contribution to English syntax, semantics and word formation. The syntactic part analyses the adjective position in the sentence. The semantic part of the study identifies the most common adjectives that appear in English business magazines online. Most of the analysis is devoted to the word formation of the adjectives found in the corpus. The corpus is analysed in such a way that it enables its division into compounds, derivatives and conversions. The results obtained in this way will give a comprehensive picture of the word class adjective in this type of Business English and can act as a starting point for further research of the word class adjective.


2015 ◽  
Vol 4 (1) ◽  
pp. 74-86
Author(s):  
Paul Custance ◽  
Keith Walley ◽  
Gaynor Tate ◽  
Goksel Armagan

The purpose of the article is to provide insight into care farming and the role that it may play in agriltural multifunctionality. The paper outlines three case studies of care farming in the UK to compare and contrast the roles that such organizations may play in multifunctional agriculture. Although the work has the obvious limitation of being based on case-study care farms that are based in the UK, the findings are sufficiently generic to serve as valuable learning material for those interested in the subject and located anywhere in the world. The main finding from this study is that care farming can take many different forms but still contribute to agricultural multifunctionality. The study also confirms the important roles that economic support and favourable legislation play in successful care farming. The paper concludes that care farming is a legitimate form of agricultural multifunctionality but reminds those interested in setting up or promoting care farms of the need for a supportive economic and legislative environment. The paper provides contemporary insight into the concept of care farming as a form of agricultural multifunctionality. A number of generic points are made that should be of value to an international audience of academics researching in this area as well as students studying care farming and agricultural multifunctionality, farmers considering diversifying into care farming and politicians working to create a political and economic environment that may support care farms.


2021 ◽  
Vol 7 (3) ◽  
pp. 205630512110353
Author(s):  
Greg Elmer ◽  
Stephen J. Neville ◽  
Anthony Burton ◽  
Sabrina Ward-Kimola

Using a digital methods analysis, the following article conducts a cross-platform study of the emergent “Zoombombing” phenomenon alongside COVID-19 and the concomitant on-lining of professional and public life. This empirical study seeks to provide further insight to media frames characterizing Zoombombing at the outbreak of the pandemic, providing further insight into Zoombombing as a practice, how related actions act as an extension of longer histories and practices of online harassment, and the role that various platforms play in the phenomenon’s unfolding. By interrogating these points of departure, our study sheds light not only on Zoombombing as a cultural practice, but also how these acts manifest within and across a range of Internet platforms.


Author(s):  
Xin (Shane) Wang ◽  
Shijie Lu ◽  
X I Li ◽  
Mansur Khamitov ◽  
Neil Bendle

Abstract Persuasion success is often related to hard-to-measure characteristics, such as the way the persuader speaks. To examine how vocal tones impact persuasion in an online appeal, this research measures persuaders’ vocal tones in Kickstarter video pitches using novel audio mining technology. Connecting vocal tone dimensions with real-world funding outcomes offers insight into the impact of vocal tones on receivers’ actions. The core hypothesis of this paper is that a successful persuasion attempt is associated with vocal tones denoting (1) focus, (2) low stress, and (3) stable emotions. These three vocal tone dimensions—which are in line with the stereotype content model—matter because they allow receivers to make inferences about a persuader’s competence. The hypotheses are tested with a large-scale empirical study using Kickstarter data, which is then replicated in a different category. In addition, two controlled experiments provide evidence that perceptions of competence mediate the impact of the three vocal tones on persuasion attempt success. The results identify key indicators of persuasion attempt success and suggest a greater role for audio mining in academic consumer research.


2012 ◽  
Vol 53 (1) ◽  
pp. 10-14
Author(s):  
Rödiger Voss

Diese Studie beschäftigt sich mit einer Analyse der mentalen Strukturen von Mitarbeitenden in Bezug auf die gewünschten Ansprüche an die Ausstattung und Einrichtung der Büroumgebung und deren zugrunde liegenden Werte. Um ein tiefer gehendes, grundlegendes Verständnis der Zusammenhänge zu gewinnen, wird auf die Laddering-Technik zurückgegriffen. Als Studienergebnis ist festzuhalten, dass sich Angestellte ein ergonomisches Arbeitsumfeld, gute Licht- und Luftverhältnisse, genügend Platz sowie eine moderne Hardware wünschen. Das Wertkonstrukt der Mitarbeitenden ist eher an den eigenen Interessen orientiert als an denen des Unternehmens. Abschliessend werden Empfehlungen für das Management zur Optimierung des Büroumfeldes und Limitationen des Forschungsansatzes aufgezeigt. This study aims to develop a deeper understanding of the expectations regarding workplace conditions that employees desire and to uncover the constructs that underlie these prospects in order to reveal the primary benefits that members of staffseek. An empirical study using the laddering techniquegives a valuable first insight into the desired expectations. The study results indicate that employees want an ergonomic workplace, good indoor air quality and lighting, enough space and modern hardware. Underlying employee’s values are oriented less towards the interests of the enterprise than towards the personal interests of the employees. The paper concludes with suggestions to managers to introduce and improve the environmental performance and reviews the limitations of the research. Keywords: ansprüche arbeitnehmer büro


Author(s):  
Abdallah Al-mahdy Hawashe

AbstractThis study aims to investigateempirically whether there is any significant association between seven commercial bank-specific attributes (i.e. age of bank, size of bank, bank liquidity position, profitability, government ownership, foreign ownership, and listing status) and the extent of voluntary disclosure in the annual reports. Ordinary Least Squares (OLS) regression model is used to test the association between bank attributes and voluntary disclosure. The results of regression analysis indicate that banks size and listing status are significantly associated with the level of voluntary information disclosures. The findings also revealed the extent of voluntary disclosure in annual reports is notsignificantly influenced by other bank’s attributes.The current empirical study contributes to that investigation in the context of banking companies andprovides new insight into determinants of voluntary disclosure in the annual reports of listed and unlisted commercial banks.Keywords: Commercial Bank Attributes; Voluntary Disclosure;Annual reports; Libya


2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Kondwani Magamba ◽  
John A. Ryan

The problem of finding the number of irreducible monic polynomials of degree r over Fqn is considered in this paper. By considering the fact that an irreducible polynomial of degree r over Fqn has a root in a subfield Fqs of Fqnr if and only if (nr/s,r)=1, we show that Gauss’s formula for the number of monic irreducible polynomials can be derived by merely considering the lattice of subfields of Fqnr . We also use the lattice of subfields of Fqnr to determine if it is possible to generate a Goppa code using an element lying in a proper subfield of Fqnr.


2001 ◽  
Vol 27 (4) ◽  
pp. 197-200
Author(s):  
Mihai Caragiu

We use Eisenstein's irreducibility criterion to prove that there exists an absolutely irreducible polynomialP(X,Y)∈GF(q)[X,Y]with coefficients in the finite fieldGF(q)withqelements, with prescribed level curvesXc:={(x,y)∈GF(q)2|P(x,y)=c}.


2021 ◽  
Author(s):  
Kristof Tobias Germer

What does management in public administration look like from the point of view of executives? What needs to be considered for successful management? Fundamental theories of management science as well as important management practice from the perspective of economics are explained and references to public administration become clear. A comprehensive empirical study by means of expert interviews helps to provide a well-founded and in-depth insight into the actual management practice of public administration. The empirical study presents room for improvement in applied public administration management.


2010 ◽  
Vol 09 (04) ◽  
pp. 603-631 ◽  
Author(s):  
RON BROWN ◽  
JONATHAN L. MERZEL

Defectless irreducible polynomials over a Henselian valued field (F, v) have been studied by means of strict systems of polynomial extensions and complete (also called "saturated") distinguished chains. Strong connections are developed here between these two approaches and applications made to both. In the tame case in which a root α of an irreducible polynomial f generates a tamely ramified extension of (F, v), simple formulas are given for the Krasner constant, the Brink separant and the diameter of f. In this case a (best possible) result is given showing that a sufficiently good approximation in an extension field K of F to a root of a defectless polynomial f over F guarantees the existence of an exact root of f in K. Also in the tame case a (best possible) result is given describing when a polynomial is sufficiently close to a defectless polynomial so as to guarantee that the roots of the two polynomials generate the same extension fields. Another application in the tame case gives a simple characterization of the minimal pairs (in the sense of N. Popescu et al.). A key technical result is a computation in the tame case of the Newton polygon of f(x+α). Invariants of defectless polynomials are discussed and the existence of defectless polynomials with given invariants is proven. Khanduja's characterization of the tame polynomials whose Krasner constants equal their diameters is generalized to arbitrary defectless polynomials. Much of the work described here will be seen not to require the hypothesis that (F, v) is Henselian.


Sign in / Sign up

Export Citation Format

Share Document