Method of Distinguishing Styles by Fractal and Statistical Indicators of the Text as a Sequence of the Number of Letters in Its Words

Roman Kaminskiy; Nataliya Shakhovska; Jana Kajanová; Yurii Kryvenchuk

doi:10.3390/math9192410

Method of Distinguishing Styles by Fractal and Statistical Indicators of the Text as a Sequence of the Number of Letters in Its Words

Mathematics ◽

10.3390/math9192410 ◽

2021 ◽

Vol 9 (19) ◽

pp. 2410

Author(s):

Roman Kaminskiy ◽

Nataliya Shakhovska ◽

Jana Kajanová ◽

Yurii Kryvenchuk

Keyword(s):

Fractal Dimension ◽

Hurst Index ◽

Power Dependence ◽

Statistical Indicators

The method of the analysis of different texts styles is developed in the paper. Integer numerical sequences are used as models. The elements of the sequence are the number of letters in the words of the text. The algorithm for calculating the exact value of the fractal dimension is developed. It provides the determination of the exact value of the Hurst index. The value of the power dependence constant is calculated. The obtained indicators in the aspect of fractality completely describe the objects of research.

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Optimal Density Determination of Bouguer Anomaly Using Fractal Analysis (Case of study: Charak area,IRAN)

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v1i1.2140 ◽

2005 ◽

Vol 1 (1) ◽

pp. 21-24

Author(s):

Hamid Reza Samadi

Keyword(s):

Surface Roughness ◽

Fractal Dimension ◽

Fractal Analysis ◽

Fractal Geometry ◽

Host Rock ◽

Bouguer Anomaly ◽

Research Area ◽

Density Difference ◽

Optimal Density

In exploration geophysics the main and initial aim is to determine density of under-research goals which have certain density difference with the host rock. Therefore, we state a method in this paper to determine the density of bouguer plate, the so-called variogram method based on fractal geometry. This method is based on minimizing surface roughness of bouguer anomaly. The fractal dimension of surface has been used as surface roughness of bouguer anomaly. Using this method, the optimal density of Charak area insouth of Hormozgan province can be determined which is 2/7 g/cfor the under-research area. This determined density has been used to correct and investigate its results about the isostasy of the studied area and results well-coincided with the geology of the area and dug exploratory holes in the text area

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Institutions, Models of Capitalism and Inequality in Income Distribution: An Empirical Investigation

Socio-Economic Review ◽

10.1093/ser/mwx059 ◽

2017 ◽

Vol 17 (3) ◽

pp. 651-685 ◽

Cited By ~ 1

Author(s):

Gilberto Antonelli ◽

Pinuccia P Calia ◽

Giovanni Guidetti

Keyword(s):

Income Inequality ◽

Income Distribution ◽

Empirical Investigation ◽

Econometric Evidence ◽

Definition Of ◽

The Empirical Analysis ◽

Statistical Indicators ◽

Different Levels

Abstract The article analyses the role of institutions in the determination of income inequality in a sample of OECD countries. Basing on the seminal approach by Amable, the article discusses the theoretical definition of model of capitalism. The basic idea is that each model of capitalism is defined by the cobweb of complementary relationships established among different institutions. Using a set of statistical indicators of the operation of institutions in two different years, 1995 and 2010, the empirical analysis points out five models of capitalism and exhibits how their composition has changed in this lapse of 15 years. In the following sections of the article, we investigate the role played by the model of capitalism in the determination of income distribution, measured through a standard Gini index. After controlling for a set of variables, the econometric evidence shows that different models of capitalism present significantly different levels of income inequality.

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Current State of Legislation, Law Enforcement and Judicial Practice in the Sphere of Conclusion, Modification and Termination of Lease Agreements for Land Plots, Concluded for Construction Purposes

RUSSIAN JUSTICE ◽

10.37399/issn2072-909x.2021.1.16-23 ◽

2020 ◽

Vol 1 ◽

pp. 16-23

Author(s):

V. V. Cheremukhin ◽

Keyword(s):

Law Enforcement ◽

System Analysis ◽

Legal Regulation ◽

Scientific Development ◽

Synthesis System ◽

Judicial Practice ◽

Current State ◽

General Scientific ◽

Statistical Indicators

Construction, as a sphere of the national economy, has impressive statistical indicators, determining the importance and relevance of its proper legal regulation, especially in terms of land use for relevant purposes. This article discusses the current situation in the sphere of provision of land plots for construction purposes, further alteration and termination of the relevant lease relations; provides a detailed analysis of the current legislation, law enforcement and judicial practice in such sphere. The purpose of the article is to analyze and summarize legislation judicial and law enforcement practice in this area, as well as the development of specific directions for a comprehensive dissertation research, proposals for improving the legislation regulating these relations. This goal is achieved by solving tasks such as studying of the existing legal regulation of disputed legal relations, law enforcement and judicial practice, identification of problematic and conflict-of-laws issues in the field under consideration, review of the degree of scientific development of the research topic, determination of trends in the development of this sphere of legal relations, development of specific proposals for changing legislation and law enforcement practice. General scientific (synthesis, system analysis, analogy) and special (formal-legal, comparative-legal) methods are used to solve the above problems. Based on the results of consideration of these issues, the author formulates the main problems of the legal relations under consideration, an assessment of the current degree of scientific development of this field is given, the main directions of the planned scientific research are also outlined, proposals are formulated to improve legislation and law enforcement practice.

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Estimating the Effect of Fractal Dimension on Representative Elementary Volume of Randomly Distributed Rock Fracture Networks

Geofluids ◽

10.1155/2018/7206074 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Jing Zhang ◽

Liyuan Yu ◽

Hongwen Jing ◽

Richeng Liu

Keyword(s):

Fractal Dimension ◽

Functional Relationship ◽

Rock Fracture ◽

Representative Elementary Volume ◽

Width Ratio ◽

Elementary Volume ◽

Equivalent Permeability ◽

Length Width ◽

Rock Fracture Networks

The effect of fractal dimension (Df) on the determination of representative elementary volume (REV) was investigated through numerical experimentations, in which a new method was adopted to extract submodels that have different length-width ratios from original discrete facture networks (DFNs). Fluid flow in 1610 DFNs with different geometric characteristics of fractures and length-width ratios was simulated, and the equivalent permeability was calculated. The results show that the average equivalent permeability (KREV) at the REV size for DFNs increases with the increase in Df. The KREV shows a downward trend with increasing length-width ratio of the submodel. A strong exponent functional relationship is found between the REV size and Df. The REV size decreases with increasing Df. With the increment of the length-width ratio of submodels, the REV size shows a decreasing trend. The effects of length-width ratio and Df on the REV size can be negligible when Df≥1.5, but are significant when Df<1.5.

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