Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems

A new parametric family of iterative schemes for solving nonlinear systems is presented. Fourth-order convergence is demonstrated and its stability is analyzed as a function of the parameter values. This study allows us to detect the most stable elements of the class, to find the fractals in the boundary of the basins of attraction and to reject those with chaotic behavior. Some numerical tests show the performance of the new methods, confirm the theoretical results and allow to compare the proposed schemes with other known ones.

Edification Dictums in the Language Consciousness of the Kazakh Ethnos

Introduction. Objective: linguacultural analysis of the edification words, collected in a free associative experiment (FAE) and published in the “Kazakh Associative Dictionary”. Materials & Methods. Set of associations of instructive character singled out by the continuous sampling method into a separate fragment of the world paremiological image is a unique representative research material included into the Kazakh Associative Dictionary, in the 23 655 associative reactions of the students of different universities in Shymkent city for112 stimulus words, 272 sayings – edifications recorded in 200 questionnaires. Archetypal layers of the ethnic linguistic consciousness represented in the edifying paremias reflect the Kazakh spiritual and moral values. The content of the FAE and Kazakh Associative Dictionary reflects the indicative feature of the study, i.e. introduction of the gender factor differentiating the men and women associations; it provided for revealing and presentation of the reliable characteristics of the gender determined linguistic consciousness of the informants. The content of the sayings-edification mainly relates to the moral life of the nation, they enshrine the generally accepted ethical norms. Results. Gender irrelevant positions: evil and good are equally evaluated differently; respect for elders is clearly manifested. Gender marked positions: for men – duty to the homeland, responsibility for the family; desire to work together; for women – the desire to protect family values, to correspond to the accepted world order, androcentrism. Conclusions. The linguistic consciousness of the ethnos (in particular, its fragment as an actively demanded paremiological fund) reflects archetypal ideas about the ethnic spiritual and moral worldview values, on which stable elements of the modern Kazakh linguistic culture are formed and actively functioning; being vital for the ethnic integrity.

SENSITIVITY ANALYSIS OF SUPPLY CHAIN MANAGEMENT PROBLEM BASED ON HIERARCHICAL AND NETWORK DECISION SUPPORT MODELS

Background. Predicting future sales is necessary to control the flow of goods in supply chains (SC), which is why firms perform forecasting of consumer demand. To study the reliability of the solution, the sensitivity analysis (SA) of the results to changes in the original data is performed. Network decision support (DS) models usually contain a very large number of elements and connections between them, which makes it difficult to perform SA. Objective. The aim of the paper is to assess the sensitivity of the solution, given in the form of the element ranking of the network DS model, to inaccuracies and contradictions in elements of expert pairwise comparison matrices (PCMs), as well as to changes in individual elements of the supermatrix of the network DS model. To assess the priority of different types of information in the SC management system and to assess the sensitivity of the decision to obtain a more accurate forecast of consumer demand. Methods. Evaluation of DS models to prioritize information needs in the SC management system is carried out based on a developed method of network analysis. The method for assessing the sensitivity of the decision, proposed for the hierarchical DS model, includes finding stable elements of each level of the hierarchy and assessing the degree of sensitivity of global ranking of elements. The sensitivity of a solution based on a network DS model includes an assessment of the stability of local rankings, finding the matrix elements that most affect the change in consistency and change in the local ranking, as well as the sensitivity to changes in individual elements of the model supermatrix. Results. The method of complex assessment of sensitivity has been further developed, the stages of assessing the stability of local ranking of elements of the network DS model and the resilience of the pairwise comparison matrix elements to changes in the permissible inconsistency have been improved. A method for SA of results based on the network DS model to changes in individual elements of the supermatrix using machine learning tools is generalized. Conclusions. In the SC management problem, the elements of the expert PCM are found, which to the greatest extent affect the change in consistency and change in the rankings of decision alternatives. The stable elements of the matrix and elements for revision by an expert were calculated in order to increase the reliability of the solution to the SC management problem based on the hierarchical and network DS models.

Study of induced gravity and correlation theory analysis of nuclear Synthesis chemical elements

Modern aerodynamics is the dynamics of gas propulsion. It requires precise data, material resources, manpower, and time. It is urgent to find a more suitable power source. Based on the gravitational effects of dark energy and dark matter, the cyclic process of cosmic physics black holes to odd black holes and dark energy black holes, special fusion and fission phenomena are common in the universe, and theoretical studies such as Einstein's general theory of relativity are no exception. Through the study of the source of cosmic elements, the formation environment of stellar elements, the theory and method of modern physical artificial elements，as well as atomic bombs, hydrogen bombs, and nuclear reactors to precipitate elemental products，we have designed a device which can synthesize physically stable elements and discover new chemical elements. A device capable of synthesizing physically stable elements and discovering new chemical elements is designed.

Study of induced gravity and correlation theory analysis of nuclear Synthesis chemical elements

Modern aerodynamics is the dynamics of gas propulsion. It requires precise data, material resources, manpower, and time. It is urgent to find a more suitable power source. Based on the gravitational effects of dark energy and dark matter, the cyclic process of cosmic physics black holes to odd black holes and dark energy black holes, special fusion and fission phenomena are common in the universe, and theoretical studies such as Einstein's general theory of relativity are no exception. Through the study of the source of cosmic elements, the formation environment of stellar elements, the theory and method of modern physical artificial elements，as well as atomic bombs, hydrogen bombs, and nuclear reactors to precipitate elemental products ， we have designed a device which can synthesize physically stable elements and discover new chemical elements. A device capable of synthesizing physically stable elements and discovering new chemical elements is designed.

The fibered Burnside group of a fusion system

We apply Reeh’s methods of determining fusion-stable finite sets together with Boltje’s integrality conditions to determine stable elements in the [Formula: see text]-fibered Burnside group of a [Formula: see text]-group under the action of a saturated fusion system [Formula: see text].

A costume in the funeral rituals of the Mari people

Introduction. Burial rites, which are a traditional object of research in archeology and ethnography, are one of most stable elements of ethnic culture. The costume and its individual elements took an important place in the funeral and memorial rites. The study of these rituals can reveal new aspects of the spiritual culture of the Mari people. Materials and Methods. The work is based on the comparison of archaeological and ethnographic materials, culturogical approach, methods of semantic, cultural and anthropological research. Results and Discussion. The reference of funeral and memorial rites to the passage rites determined the use of the elements of a wedding dress, including fur clothes and jewelry. The belt that served as a storage was an important part of the burial costume, as well as the sacrificial and ritual complexes of the ancient Mari tribes. Conclusion. Application of a culturological approach to the research of the funeral rituals of the Mari people allowed to conclude that the costume substituted the deceased, served as the embodiment of a generic body that went back to the totem. The funeral costume, like the wedding one, assumed the use of ancient symbolic codes. The belt that completed the symbolic human body was an important burial costume. The belt served as a defense in the ancient Mari sacrificial ritual complexes, enhancing their association with the world tree.

The Politics of Beginnings: Hesiod and the Assyrian Ideological Appropriation of Enuma Eliš

This article proposes a new way to understand Near Eastern literary and mythological parallels in Hesiod’s Theogony by focusing on the meaning of these parallels for a contemporary Greek audience. In particular, a case study analyzing a parallel shared by the Theogony and Enuma eliš is pursued here to illustrate this approach’s utility. This new approach draws partly on methodologies borrowed from the study of globalization and combines these methodologies with recent insights into the ideological motivations for Greeks’ deployment of Oriental(izing) art in the Orientalizing Period (ca. 750 – 650 BCE). Rather than focusing on individual parallels out of context or on diachronically stable elements that creation stories around the eastern Mediterranean shared, this article instead reconstructs a contemporary ideological background with the Neo-Assyrian Empire at the center of a globalizing Mediterranean. Because the Assyrians invested Enuma eliš with new ideological meaning at this time and broadcast this through their propaganda, the Akkadian creation epic could take on new meaning in an international context. It is consequently possible that specific correspondences Enuma eliš and the Theogony share show Hesiod subverting Assyrian ideological discourses. The subjects discussed here have implications for our broader understanding of Greek-Near Eastern interactions of the Orientalizing Period.