scholarly journals FRACTAL ANALYSIS OF MODELS OF TEXTS OF DIFFERENT STYLES SUBMITTED INTEGER EQUIDISTANT SEQUENCES NUMBER OF LETTERS IN WORDS

2021 ◽  
Vol 295 (2) ◽  
pp. 26-34
Author(s):  
ROMA KAMINSKYY ◽  
◽  
NATALIYA SHAKHOVSKA ◽  
BOHDAN KHUDOBA ◽  
◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Fractal Analysis ◽  
Point Of View ◽  
Mathematical Representation ◽  
Unknown Parameters ◽  
Artistic Style ◽  
Spoken Text ◽  
Cumulative Summation ◽  
The Relationship

This paper presents the results of fractal analysis of models of texts of different styles. Integer numerical sequences, the elements of which are the number of letters in the words of the text, are used as models. An algorithm for calculating the exact value of the fractal dimension is presented, which provided the determination of the exact value of the Hirst index. In addition, the value of the power dependence constant R / S is calculated. The obtained indicators in the aspect of fractality fully describe the objects of research. This method is in fact a logical implementation of the known procedures of fractal analysis and its advantage is that it provides a rigorous mathematical representation of the values of the fractal dimension, the Hirst index and the constant in relation to the indicators of variation. The essence of his presentation is, first of all, as a warning to researchers against misinterpretation of the relationship R / S, because many researchers ignore the existence of a constant for this relationship. Indeed, this relation is a function with two unknown parameters and cannot be directly determined. With regard to the fractal dimension, we can point out that the least important is the conversational style, and the most – poetic. In other words, the model of colloquial text is the smallest part of its environment, poetic – the largest. From the point of view of Hirst’s index, the model of the spoken text contains a trend, while the model of the poem has a character closer to the random one. The largest scope of the cumulative series has a model of spoken text, and the smallest – a model of artistic style of the text. Since the cumulative series is a sequential (cumulative) summation of the sequence of deviations of elements from its arithmetic mean, its scope will depend on the presence of groups of elements of the sequence with very large deviations. Artistic style has the least significance of scope.

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

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

scholarly journals Teachers’ Technology Acceptance and Usage Situations and the Evaluation of Web Pedagogic Content Knowledge in Terms of Different Variations and the Determination of the Relationship between These

2017 ◽  
Vol 10 (3) ◽  
pp. 54
Author(s):  
Agah Tugrul KORUCU
Keyword(s):  
Pedagogical Content Knowledge ◽  
Technology Acceptance ◽  
Content Knowledge ◽  
Web Applications ◽  
Point Of View ◽  
Educational Levels ◽  
Pedagogical Content ◽  
Screening Model ◽  
The Relationship

The goal of this study is to analyze the situations of teachers’ technology acceptance and usage (TAU) and web pedagogy content knowledge (WPACK) in terms of different variations and to determine of the relationship between these two. The study group of this research consists of 96 teachers in total having different variations such as different branches, different professional seniorities, different ages and different educational levels they work in. Data collection tools comprising of 3 open-ended questions which are developed and structured by researchers and two different scales measuring technology acceptance and usage and web pedagogical content knowledge are utilized in this study. The scales and structured forms are applied through random sampling with screening model. In the results of the research, teachers’ technology acceptance and usage situations, web pedagogical content knowledge situations and their sexes and web 2.0 technologies usage situations don’t differ in terms of the dimensions and the entirety of the scales. The following are established according to the results; there are differences among teachers’ TAU situations, there aren’t any differences among their WPACK in terms of their branches; there aren’t any differences among their TAU situations and there are differences among their WPACK situations in terms of their ages; TAU and WPACK situations are not reasonable statistically in terms of their professional seniorities and educational levels they work in. Furthermore, it is also determined that web applications usage durations are not reasonable in terms of their TAU situations but they are reasonable in terms of WPACK. The answers which teachers provided towards open-ended questions are established to be categorized as education, technology, interaction, visuality, source and development. Additionally, it is settled that there is a low correlation between TAU and WPACK situations but it is possible to form a model between them. From the point of view of the findings of this study, it is suggested that knowledge and information regarding technology integration is provided experimentally to teachers in in-service seminars.

scholarly journals Review about the Application of Fractal Theory in the Research of Packaging Materials

Materials ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 860
Author(s):  
Qingshan Duan ◽  
Jiejie An ◽  
Hanling Mao ◽  
Dongwu Liang ◽  
Hao Li ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Fractal Analysis ◽  
Fractal Theory ◽  
Inorganic Materials ◽  
Packaging Materials ◽  
Analysis Method ◽  
Characteristic Parameters ◽  
Fractal Characteristic ◽  
Fractal Characteristics ◽  
The Relationship

The work is intended to summarize the recent progress in the work of fractal theory in packaging material to provide important insights into applied research on fractal in packaging materials. The fractal analysis methods employed for inorganic materials such as metal alloys and ceramics, polymers, and their composites are reviewed from the aspects of fractal feature extraction and fractal dimension calculation methods. Through the fractal dimension of packaging materials and the fractal in their preparation process, the relationship between the fractal characteristic parameters and the properties of packaging materials is discussed. The fractal analysis method can qualitatively and quantitatively characterize the fractal characteristics, microstructure, and properties of a large number of various types of packaging materials. The method of using fractal theory to probe the preparation and properties of packaging materials is universal; the relationship between the properties of packaging materials and fractal dimension will be a critical trend of fractal theory in the research on properties of packaging materials.

scholarly journals Intergranular area microalloyed aluminium-silicate ceramics fractal analysis

2013 ◽  
Vol 45 (1) ◽  
pp. 117-126 ◽  
Author(s):  
J. Purenovic ◽  
V.V. Mitic ◽  
Lj. Kocic ◽  
V. Pavlovic ◽  
M. Randjelovic ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Electrical Properties ◽  
Fractal Analysis ◽  
Fractal Nature ◽  
Place Making ◽  
Richardson Method ◽  
Micro Morphology ◽  
Solid System ◽  
Aluminium Silicate

Porous aluminium-silicate ceramics, modified by alloying with magnesium and microalloying with alluminium belongs to a group of advanced multifunctional ceramics materials. This multiphase solid-solid system has predominantly amorphous microstructure and micro morphology. Intergranular and interphase areas are very complex, because they represent areas, where numbered processes and interactions take place, making new boundaries and regions with fractal nature. Fractal analysis of intergranular microstructure has included determination of ceramic grain fractal dimension by using Richardson method. Considering the fractal nature of intergranular contacts, it is possible to establish correlation between material electrical properties and fractal analysis, as a tool for future correlation with microstructure characterization.

scholarly journals Syntactic patterns of πᾶς as a quantifier in New Testament Greek

2021 ◽  
Vol 77 (1) ◽  
Author(s):  
Cynthia L. Miller-Naudé ◽  
Jacobus A. Naudé
Keyword(s):  
New Testament ◽  
Hebrew Bible ◽  
Word Order ◽  
Lexical Item ◽  
Point Of View ◽  
Linguistic Terms ◽  
Universal Quantification ◽  
Relationship Of ◽  
The Relationship

In linguistic terms, a quantifier is an item that appears with a noun to specify the number or amount of referents indicated by the noun. In English, various kinds of quantification are lexically differentiated—universal quantification (all), distributive quantification (each), and universal-distributive (every). In Greek, however, quantification is conveyed syntactically using primarily one lexical item, namely πᾶς. In this article, we examine the syntactic patterns of πᾶς as a quantifier from a linguistic point of view with attention to the determination of the noun (articular versus anarthrous), the number of the noun (singular versus plural) and the phrasal word order. We also examine the phenomenon of ‘floating’ quantification in which the quantifier moves to a new position in the noun phrase. Finally, we compare the patterns found in New Testament Greek with those of the quantifier כל in the Hebrew Bible in order to determine the extent and type of Semitic interference with respect to quantification in New Testament Greek grammar.Contribution: The syntactic patterns of πᾶς as a quantifier are identified and the semantic import of each pattern is described. The relationship of πᾶς to the quantifier כל in the Hebrew Bible shows evidence of Semitic interference in New Testament Greek grammar.

Experiments on the Determination of the Activity of Carbon Black by Its Power of Adsorbing Carbon Tetrachloride Vapor

1940 ◽  
Vol 13 (2) ◽  
pp. 437-440
Author(s):  
T. Patryn
Keyword(s):  
Aqueous Solution ◽  
Carbon Tetrachloride ◽  
Carbon Black ◽  
Reliable Method ◽  
High Ratio ◽  
Point Of View ◽  
Adsorptive Capacity ◽  
The Relationship ◽  
Very High

Abstract On the basis that a material like carbon black must, because of its very high ratio of surface area to volume, possess very high adsorptive capacity, several investigators have attempted to establish the relationship between the adsorptive capacity of carbon black and its activity in rubber. Spear and Moore used aqueous solutions of malachite green, Victoria blue and hexamethylenetetramine; Beaver and Keller used iodine in aqueous potassium iodide; Goodwin and Park used iodine in carbon tetrachloride and also an aqueous solution of methylene blue; Carson and Sebrell used iodine, benzoic acid, mercaptobenzothiazole and diphenylguanidine. All these workers tested various types of carbon black. If one examines critically the data of these several investigators from the point of view of the relation between the adsorptive capacity of a carbon black and its activity in rubber, it will be evident that the investigations do not lead to any reliable method whereby the behavior of carbon black in rubber can be judged by its adsorptive capacity.

scholarly journals A Multi-Attribute Assisted Performance Deduction and Related Value in Triple Helix Innovation Networks

2020 ◽  
pp. 751-760
Author(s):  
Honxing Yao ◽  
Henry Asante Antwi ◽  
Evans Takyi Ankomah-Asare
Keyword(s):  
Higher Education ◽  
Decision Making ◽  
Triple Helix ◽  
Research Output ◽  
Point Of View ◽  
Innovation Networks ◽  
Higher Education Systems ◽  
Value Determination ◽  
The Relationship

Typically, Triple Helix relations, between, Higher Education Institutions, Governments and Industry(s) are inferred from patents and research output. Systemic determination of the relationship is because of observations over a period. It is, however, possible to analyze this relation from a system present from the word-go. This then allows for the interaction to be analyzed on the basis of performance and logically gains for participation by all the agents. Several models have been proposed to deduce the Triple Helix Relation and these hold. This paper has however introduced a new dimension to the analysis, by viewing participation from an investor point of view with decision making being of a complex and deductive nature based on the performance of higher education systems or institutions. The TOPSIS supported performance deductions helps synthesis decision solutions that facilitates value determination of performance and its resultant impact on investment gains. Possible future implications for this, are also provided

scholarly journals PRICE–VOLUME DEPENDENCE OF BITCOIN AND ITS FRACTAL ANALYSIS

2019 ◽  
Vol 7 ◽  
Author(s):  
Mária Bohdalová ◽  
Michal Greguš
Keyword(s):  
Financial Markets ◽  
Fractal Analysis ◽  
Rapid Decrease ◽  
Point Of View ◽  
High Price ◽  
Price Dynamics ◽  
Volume Dependence ◽  
Hurst Coefficient ◽  
Random Character ◽  
The Relationship

Nowadays Bitcoin as cryptocurrency takes a significant place on the global financial markets. This paper analyzes the Bitcoin closing prices and traded volume during the period from December 28, 2013 to January 22, 2019. This period is known as a period with rapid increasing of the Bitcoin closing prices, mainly in the second half of the year 2017. The aim of this paper is twofold. First, we compute the Hurst coefficient to discover the close price dynamics and traded volume using a fractal point of view. We have discovered an anti-persistent behavior in the traded volume and random character of bitcoin closing prices. Second, we propose an analysis of the relationship between the close prices and traded volume. Our findings show how changes in the high-price period differ from changes in the low-price period. We also found that high prices caused investors to be afraid to trade due to possible rapid decrease in bitcoin closing prices.

ASSESSMENT OF PULSE ELECTRIC DISCHARGE ON THE PROCESS OF TRANSFER OF SUBSTANCE IN PLANT MATERIAL

2019 ◽  
Author(s):  
И.А. ШОРСТКИЙ ◽  
Д.А. ХУДЯКОВ
Keyword(s):  
Electric Discharge ◽  
Plant Material ◽  
Point Of View ◽  
Material Surface ◽  
Initial Moment ◽  
Intracellular Fluid ◽  
Pulse Electric ◽  
The Relationship ◽  
Pulse Electric Discharge

Проведена оценка выхода внутриклеточной жидкости из модифицированного импульсным электрическим разрядом растительного материала в начальный момент времени. Прослежена связь геометрических параметров, сформированных электрическим разрядом каналов, и внутриклеточного давления, играющих важную роль с точки зрения экспериментального определения количества выходящей внутриклеточной жидкости. Установлено, что количество жидкости на поверхности материала в диапазоне количества каналов 0 < n < 1500 имеет линейную зависимость. An assessment of the release of intracellular fluid from a plant material modified by a pulsed electrical discharge at the initial moment of time was made. The relationship between the geometric parameters of the channels formed by the electric discharge and the intracellular pressure, which play an important role from the point of view of experimental determination of the amount of intracellular fluid leaving, is traced. It is established that the amount of liquid on the material surface in the range of the number of channels 0 < n < 1500 has a linear relationship.

Information Dimension and the Probabilistic Structure of Chaos

1982 ◽  
Vol 37 (11) ◽  
pp. 1304-1326 ◽  
Author(s):  
J. Doyne Farmer
Keyword(s):  
Fractal Dimension ◽  
Probability Distribution ◽  
Point Of View ◽  
Metric Entropy ◽  
Physical Point ◽  
Information Dimension ◽  
Probabilistic Structure ◽  
Self Similar

The concepts of entropy and dimension as applied to dynamical systems are reviewed from a physical point of view. The information dimension, which measures the rate at which the information contained in a probability density scales with resolution, fills a logical gap in the classification of attractors in terms of metric entropy, fractal dimension, and topological entropy. Several examples are presented of chaotic attractors that have a self similar, geometrically scaling structure in their probability distribution; for these attractors the information dimension and fractal dimension are different. Just as the metric (Kolmogorov-Sinai) entropy places an upper bound on the information gained in a sequence of measurements, the information dimension can be used to estimate the information obtained in an isolated measurement. The metric entropy can be expressed in terms of the information dimension of a probability distribution constructed from a sequence of measurements. An algorithm is presented that allows the experimental determination of the information dimension and metric entropy.

Sign in / Sign up

Export Citation Format

Share Document