scholarly journals CONTINUED FRACTIONS, INTERMEDIATE FRACTIONS AND THEIR RELATION TO THE BEST APPROXIMATIONS

2020 ◽  
Vol 20 (3) ◽  
pp. 545-560
Author(s):  
LUKA MILINKOVIC ◽  
BRANKO MALESEVIC ◽  
BOJAN BANJAC
Keyword(s):  
Continued Fractions ◽  
Continued Fraction ◽  
Rational Approximations ◽  
Best Approximations ◽  
Current State ◽  
The Subject ◽  
State Of Art

The subject of this paper is the current state of art in theory of continued fractions, intermediate fractions and their relation to the best rational approximations of the first and second kind. The paper provides an overview of the some well known and even some new properties of continued fractions, and the various terms associated with them. In addition to intermediate fractions, paper considers the fine intermediate fractions and gave some statements to position these fractions in the continued fraction representation of numbers.

scholarly journals On the continued fraction algorithm

1970 ◽  
Vol 3 (3) ◽  
pp. 413-422 ◽  
Author(s):  
J. M. Mack
Keyword(s):  
Finite Number ◽  
Real Line ◽  
Continued Fractions ◽  
Continued Fraction ◽  
Extreme Case ◽  
Rational Approximations ◽  
Real Numbers ◽  
Best Approximations ◽  
Rational Line ◽  
Fraction Algorithm

The fact that continued fractions can be described in terms of Farey sections is used to obtain a generalised continued fraction algorithm. Geometrically, the algorithm transfers the continued fraction process from the real line R to an arbitrary rational line l in Rn. Arithmetically, the algorithm provides a sequence of simultaneous rational approximations to a set of n real numbers θ1, …, θn in the extreme case where all of the numbers are rationally dependent on 1 and (say) θ1. All but a finite number of best approximations are given by the algorithm.

scholarly journals How quality influences in agility, flexibility, responsiveness and resilience in Supply Chain Management

2018 ◽  
Vol 9 (2) ◽  
pp. 340 ◽  
Author(s):  
Gilmar Lucio Da Silva ◽  
Gustavo Rondina ◽  
Paloma Cardoso Figueiredo ◽  
Glaucia Prates ◽  
Antonio Francisco Savi
Keyword(s):  
Systematic Review ◽  
Supply Chain ◽  
Literature Review ◽  
Direct Influence ◽  
Review Of The Literature ◽  
Chain Management ◽  
Current State ◽  
The Subject ◽  
State Of Art

This paper aims to present the quality and its direct influence on important characteristics that dominate the Design of the Supply Network, demonstrating the main aspects involved and the strategy developed to achieve a better performance.  The study is based on a literature review and the main objective of this systematic review of the literature was to identify and classify all previous studies that examined some aspect of network analysis in the context of the supply chain since so far. It provides a detailed description of the most of the subject and contributes with a set of findings that capture the current state of art of the topic. Quality in the supply chain is a new subject and little studied, but it is observed that its influence is present in all sectors of the economy. The classification of Supply Chains has been highlighted as a flow of materials and information that go from suppliers to final customers in the best possible way. With the development of a management that addresses the Supply Chain in a relevant way, the organization can achieve benefits that put it in a competitive position in the market.

scholarly journals Fractions of the period of the continued fraction expansion of quadratic integers

1991 ◽  
Vol 44 (1) ◽  
pp. 155-169 ◽  
Author(s):  
A.J. van der Poorten
Keyword(s):  
Ab Initio ◽  
Continued Fractions ◽  
Continued Fraction ◽  
Continued Fraction Expansion ◽  
The Subject

The elementary nature and simplicity of the theory of continued fractions is mostly well disguised in the literature. This makes one reluctant to quote sources when making a remark on the subject and seems to necessitate redeveloping the theory ab initio. That had best be done succinctly. That is done here and allows the retrieval of some amusing results on pattern in the period of the continued fraction expansion of quadratic integers.

Access Control Challenges in Enterprise Ecosystems

2019 ◽  
pp. 51-76
Author(s):  
Hugo Santos Martins ◽  
Sérgio Luís Guerreiro
Keyword(s):  
Access Control ◽  
Distributed Environments ◽  
Control Mechanisms ◽  
Research Directions ◽  
Current State ◽  
Challenges And Opportunities ◽  
The Subject ◽  
Access To Data ◽  
New Research ◽  
State Of Art

There is an increasing gap between the needs of modern, complex, and distributed environments in regards to control of access to data and the level to which classical access control solutions can fulfill those needs. The purpose of this chapter is to highlight the current state of art of existing research over access control in increasingly decentralized environments and to argue how the subject of access control is more relevant than ever before, with increasing research opportunities emerging. In this chapter, the authors analyze the current state of the art of access control mechanisms and systems over decentralized applications with a focus on enterprise ecosystems, analyze the current challenges and opportunities that the new technological landscape offers, specifically over the application of blockchain-based technologies in access control, and propose new research directions for the future.

Access Control Challenges in Enterprise Ecosystems

2021 ◽  
pp. 503-528
Author(s):  
Hugo Santos Martins ◽  
Sérgio Luís Guerreiro
Keyword(s):  
Access Control ◽  
Distributed Environments ◽  
Control Mechanisms ◽  
Research Directions ◽  
Current State ◽  
Challenges And Opportunities ◽  
The Subject ◽  
Access To Data ◽  
New Research ◽  
State Of Art

There is an increasing gap between the needs of modern, complex, and distributed environments in regards to control of access to data and the level to which classical access control solutions can fulfill those needs. The purpose of this chapter is to highlight the current state of art of existing research over access control in increasingly decentralized environments and to argue how the subject of access control is more relevant than ever before, with increasing research opportunities emerging. In this chapter, the authors analyze the current state of the art of access control mechanisms and systems over decentralized applications with a focus on enterprise ecosystems, analyze the current challenges and opportunities that the new technological landscape offers, specifically over the application of blockchain-based technologies in access control, and propose new research directions for the future.

scholarly journals “Paintings Can Be Forged, But Not Feeling”: Vietnamese Art—Market, Fraud, and Value

Arts ◽  
2018 ◽  
Vol 7 (4) ◽  
pp. 62 ◽  
Author(s):  
Quan-Hoang Vuong ◽  
Manh-Tung Ho ◽  
Hong-Kong Nguyen ◽  
Thu-Trang Vuong ◽  
Kien Tran ◽  
...  
Keyword(s):  
Qualitative Analysis ◽  
Economic Value ◽  
Art Market ◽  
Current State ◽  
The Media ◽  
The Subject ◽  
Market Perspective ◽  
State Of Art

A work of Vietnamese art crossed the million-dollar mark in the international art market in early 2017. The event was reluctantly seen as a sign of maturity for Vietnamese art amidst many problems. Even though the media in Vietnam has discussed the problems enthusiastically, there is a lack of literature from Vietnamese academics on the subject, especially from the market perspective. This paper aims to contribute an insightful perspective on the Vietnamese art market through the lens of art frauds. Thirty-five cases of fraudulent paintings were found on the news and in stories told by art connoisseurs. The qualitative analysis of the cases has shown that the economic value of Vietnamese paintings remains high despite the controversial claims about their authenticity. Here, the Vietnamese authority seems indifferent to the problem of art frauds, which make the artists more powerless. While the involvement of foreign actors in the trading of Vietnamese art does not reduce the intensity of the problem, it seems to continue to drive the price higher. The results have implications on the system of art in Vietnam, the current state of art theft in Vietnam, and the perception of Vietnamese people on art.

Muhammad Nejatullah Siddiqui. Issues in Islamic Banking: Selected Papers, Leicester: The Islamic Foundation. 1983 , I 52pp.Author and Subject Indexes.

1983 ◽  
Vol 22 (1) ◽  
pp. 57-61
Author(s):  
Shahrukh Rafi Khan
Keyword(s):  
Analytical Model ◽  
Significant Contribution ◽  
Profit Sharing ◽  
Islamic Banking ◽  
Current State ◽  
The Subject ◽  
Made In

The book under review is a compilation of the author's articles and lectures that highlight the prominent developments in the literature on the subject of Islamic banking and inform the reader of the current state of debate on it. One of the earliest and main contributors to this topic is the author himself. The focus of this review will mainly be on "Economics of Profit-Sharing", which is the title of the fourth chapter of the book and is among his latest contributions. This chapter is a significant contribution as it is the first attempt to formalise the concept of profit sharing into an analytical model and, therefore, demands closer scrutiny. However, in the remaining chapters of the book, the author has drawn attention to some of the fine points made in the literature on this topic. Since some of these points appear to be controversial to me, I will briefly discuss them before moving on to the analytical chapter of the book.

BASIC ASPECTS OF THE FISCAL POLICY OF THE STATE IN THE SUBJECT OF THE RUSSIAN FEDERATION

2020 ◽  
Vol 1 (6) ◽  
pp. 4-7
Author(s):  
B. Kh. ALIYEV ◽  
Keyword(s):  
Fiscal Policy ◽  
Russian Federation ◽  
Economic Management ◽  
Financial Flows ◽  
Constituent Entity ◽  
Current State ◽  
Management Measures ◽  
The Subject ◽  
The Russian Federation ◽  
The Republic

The article examines the current state of the fiscal policy of the constituent entity of the Russian Federation, which is a combination of diverse economic management measures based on the distribution and redistribution of financial flows. The analysis of fiscal policy on the example of the subject of the Russian Federation (Republic of Dagestan). The article outlines the problematic issues of the tax policy of the Republic of Dagestan and suggests ways to overcome the identified problems.

scholarly journals A Lochs-Type Approach via Entropy in Comparing the Efficiency of Different Continued Fraction Algorithms

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 255
Author(s):  
Dan Lascu ◽  
Gabriela Ileana Sebe
Keyword(s):  
Dynamical Systems ◽  
Continued Fractions ◽  
Continued Fraction ◽  
Unit Interval ◽  
Probability Measures ◽  
Absolutely Continuous ◽  
Continued Fraction Expansions ◽  
Absolutely Continuous Invariant

We investigate the efficiency of several types of continued fraction expansions of a number in the unit interval using a generalization of Lochs theorem from 1964. Thus, we aim to compare the efficiency by describing the rate at which the digits of one number-theoretic expansion determine those of another. We study Chan’s continued fractions, θ-expansions, N-continued fractions, and Rényi-type continued fractions. A central role in fulfilling our goal is played by the entropy of the absolutely continuous invariant probability measures of the associated dynamical systems.

scholarly journals Extreme Value Theory for Hurwitz Complex Continued Fractions

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 840
Author(s):  
Maxim Sølund Kirsebom
Keyword(s):  
Invariant Measure ◽  
Extreme Value Theory ◽  
Continued Fractions ◽  
Continued Fraction ◽  
Value Theory ◽  
Extreme Value ◽  
Poisson Law ◽  
Complex Continued Fractions

The Hurwitz complex continued fraction is a generalization of the nearest integer continued fraction. In this paper, we prove various results concerning extremes of the modulus of Hurwitz complex continued fraction digits. This includes a Poisson law and an extreme value law. The results are based on cusp estimates of the invariant measure about which information is still limited. In the process, we obtained several results concerning the extremes of nearest integer continued fractions as well.

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