Set Of Elements Research Articles

THE MAIN COMPONENTS OF THE MANAGEMENT SYSTEM FOR THE DEVELOPMENT OF THE POTENTIAL OF CLUSTER INTEGRATED BUSINESS STRUCTURES

INTRODUCTION. The architecture of an integrated structure as an organizational and economic form is a set of individual elements organized into a single system by production-technical and financial connections, the specific meaning of which is reflected through specific forms of integration. In terms of business organization, integrated business structures are important, usually aimed at obtaining income, maximizing capital and directing it to the financial and economic goals of such structures.
 RESEARCH METHODS. The research used methods of comparative analysis and synthesis, induction and deduction, monitoring of international best practices in the field of managing the development of the potential of cluster integrated business structures.
 THE HYPOTHESIS OF THE RESEARCH is that based on the channelization of the best practices of international experience, it is possible to justify the components of the management system for the development of the potential of cluster integrated business structures.
 PURPOSE of the article is to study the components of the management system for the development of the potential of cluster business structures.
 RESULTS. The theoretical and methodological basis of management systems for developing the potential of cluster integrated business structures has been studied and improved. In general, the system of management of the development of the potential of the KISB is defined as the activity of the purposeful influence of the managing subject of management on the relations between the participants of the cluster regarding the effective generation, distribution and use of the potential of the KISB through the appropriate management mechanism (methodology, structure, techniques, adjustment of business processes) with with the aim of accumulating the maximum synergistic effect from such activity and its further transformation into value (material, immaterial) for the end consumer.
 KEYWORDS: integration; integrated business structures; management; clustering; cluster mergers of enterprises; cooperation; business partnership.

ВОЗМОЖНЫЕ ОСНОВЫ ДЛЯ ПРОЕКТИРОВАНИЯ СТРУКТУРНЫХ И ФУНКЦИОНАЛЬНЫХ АРХИТЕКТУРНЫХ ОБЪЕКТОВ В РАМКАХ ФЛОРИСТИЧЕСКОЙ МОДЕЛИ

Although several buildings of cultural and commercial significance have emerged in different parts of the world, imbibing the structural and functional features of floral anatomy, floristry is still at an evolutionary stage as a new dimension of biomimetic architecture. In response to the worldwide adoption of flower-oriented architectural designs, this paper proposes a framework to follow in developing a floristry-based model that could be used while forming structural and functional architectural objects to suit buildings constructed under multi-dimensional urban development projects. A detailed presentation of the exercise is created, encompassing all the essential biomimetic principles based on floristry. When constructing this framework, the primary focus is on integrating sustainable and environmentally conscious architectural concepts, which are paramount to the proposal. During the development of the model, techniques for drawing inspiration from floral morphology and behavioral patterns are examined, along with guidance on how to integrate them into architectural designs. In that respect, the paper strives to identify a set of fundamental elements in a building focused on its usage, sustainability, and maintenance in an environment-friendly mode. In addition, to present an appropriate set of floristic sources to assist the design of objects of the boundary field of "biology", laying the foundation for a comprehensive understanding of floristry in contemporary architectural activity. The focus of this paper is on public multifunctional buildings

A neural network to identify requests, decisions, and arguments in court rulings on custody

AbstractCourt rulings are among the most important documents in all legal systems. This article describes a study in which natural language processing is used for the automatic characterization of Spanish judgments that deal with the physical custody (joint or individual) of minors. The model was trained to identify a set of elements: the type of custody requested by the plaintiff, the type of custody decided on by the court, and eight of the most commonly used arguments in this type of judgment. Two jurists independently annotated more than 3000 judgments, which were used to train a model based on transformers. The main difficulties encountered in this task were the complexity of the judicial language and the need to work with appellate court rulings that have a more complicated structure than decisions at first instance. For the complete court rulings, the F1 score of the inter-annotator agreement ranged from 0.60 to 0.86 and the Kappa index from 0.33 to 0.73. The F1 score of the agreement between the model and the annotators ranged from 0.66 to 0.93 and the Kappa index from 0.57 to 0.80. These results in which the model performance exceeds even the inter-annotator agreement show the high ability of transformers to identify abstract entities in legal texts.

Quasi-inner automorphisms of Drinfeld modular groups

Let A be the set of elements in an algebraic function field K over \mathbb{F}_{q} which are integral outside a fixed place \infty . Let G=\mathrm{GL}_{2}(A) be a Drinfeld modular group . The normalizer of G in \mathrm{GL}_{2}(K) , where K is the quotient field of A , gives rise to automorphisms of G , which we refer to as quasi-inner . Modulo the inner automorphisms of G , they form a group \mathrm{Quinn}(G) which is isomorphic to \mathrm{Cl}(A)_{2} , the 2 -torsion in the ideal class group \mathrm{Cl}(A) . The group \mathrm{Quinn}(G) acts on all kinds of objects associated with G . For example, it acts freely on the cusps and elliptic points of G . If \mathcal{T} is the associated Bruhat–Tits tree, the elements of \mathrm{Quinn}(G) induce non-trivial automorphisms of the quotient graph G \backslash \mathcal{T} , generalizing an earlier result of Serre. It is known that the ends of G \backslash \mathcal{T} are in one-to-one correspondence with the cusps of G . Consequently, \mathrm{Quinn}(G) acts freely on the ends. In addition, \mathrm{Quinn}(G) acts transitively on those ends which are in one-to-one correspondence with the vertices of G \backslash \mathcal{T} whose stabilizers are isomorphic to \mathrm{GL}_{2}(\mathbb{F}_{q}) .

Revising the Noir Formula in the Chinese Context: Black Coal, Thin Ice and Beyond

Noir can be seen as a formula with a set of distinguishable thematic, narrative, and aesthetic elements matured in postwar Hollywood and later recycled, refined, or resisted by filmmakers worldwide. In the past decade, a handful of noirish crime films produced in People’s Republic of China particularly reworked this formula to articulate local concerns, one example being Black Coal, Thin Ice. By attempting a comparative analysis of this movie’s characterization with the noir formula’s conventional portrayal, this essay argues that Black Coal, Thin Ice revises the noir formula by drawing more attention to the noir killer’s plight as a demoralized state worker and deconstructing the formulaic presence of the femme fatale as a deadly and powerful seductress. Moving beyond the Black Coal, Thin Ice case, the essay also posits that the recent Chinese noirish crime films’ fusing of stylized chiaroscuro with color lighting to register various existential and psychological concerns enriches the chiaroscuro aesthetic of the noir formula.

A Conflict Evidence Fusion Method Based on Bray–Curtis Dissimilarity and the Belief Entropy

The D-S evidence theory is extensively applied to manage uncertain information. However, the theory encounters challenges related to conflicts during the fusion process, impeding the precise identification of multi-subset focal elements. This paper introduces a novel method for conflicting evidence fusion that incorporates the Bray–Curtis dissimilarity, cosine distance of the included angle, and belief entropy. The method comprehensively evaluates three aspects—evidence similarity, evidence distance, and the amount of information—while considering factors like the credibility and uncertainty of evidence. Initially, the evidence undergoes conversion into single-subset focal element evidence through the improved Pignistic probability function. Subsequently, the credibility between pieces of evidence is established using the Bray–Curtis dissimilarity and angle cosine distance, while the uncertainty of the evidence is computed using belief entropy. The weighted correction coefficient of the evidence is determined by integrating the credibility and uncertainty of the evidence. Subsequently, the corrected evidence is fused using the D-S evidence theory to derive the final judgment. An analysis of two sets of arithmetic examples, considering both single-subset and multi-subset focal elements, demonstrates the faster convergence and enhanced accuracy and reliability of the proposed method in comparison to existing approaches.

Scalar Relativistic Effects with Multiwavelets: Implementation and Benchmark.

The importance of relativistic effects in quantum chemistry is widely recognized, not only for heavier elements but throughout the periodic table. At the same time, relativistic effects are strongest in the nuclear region, where the description of electrons through a linear combination of atomic orbitals becomes more challenging. Furthermore, the choice of basis sets for heavier elements is limited compared with lighter elements where precise basis sets are available. Thanks to the framework of multiresolution analysis, multiwavelets provide an appealing alternative to overcoming this challenge: they lead to robust error control and adaptive algorithms that automatically refine the basis set description until the desired precision is reached. This allows one to achieve a proper description of the nuclear region. In this work, we extended the multiwavelet-based code MRChem to the scalar zero-order regular approximation framework. We validated our implementation by comparing the total energies for a small set of elements and molecules. To confirm the validity of our implementation, we compared both against a radial numerical code for atoms and the plane-wave-based code EXCITING.

Some notes on possibilistic randomisation with t-norm based joint distributions in strategic-form games

This article continues the investigation started in [18] on the role of possibilistic mixed strategies in strategic-form games. In this earlier work we assumed, as standard in possibility theory, that joint possibility distributions were computed by combining possibilistic mixed strategies with the minimum t-norm. In this paper, we investigate the consequences of defining joint possibility distributions by using any continuous t-norm, with players' expected utilities based on the Choquet integral. We characterise under which conditions a pair of possibilistic mixed strategies is an equilibrium, generalising the results first presented in [18], and also show that the set of equilibria in possibilistic mixed strategies depends on the set of idempotent elements of a t-norm and not just on the chosen t-norm.

Some results on the finite rings with maximal size of pairwise non-commuting elements is 5

Let R be a finite ring and let X be a non-empty subset of R. If ab=ba for any two distinct a,b∈X, then X is called a set of pairwise non-commuting elements of R. Moreover, X is said to be a set of pairwise non-commuting elements of R with maximal size if its cardinality is the largest one among all suchsets. In this paper, we study the structures for some finite rings with maximal size of pairwise non-commuting elements is 5.

Базисні положення логістичного механізму розвитку діяльності підприємства

The article highlights the importance of developing a logistic mechanism with a focus on ensuring the development of enterprise activities. The importance of such a mechanism is determined by a number of factors in the formation of the internal environment of the enterprise and its ability to adapt to market challenges. Particular importance of the logistic mechanism lies in the definition of rational managerial decisions that provide for a stable increase in the efficiency and development of the enterprise with a focus on meeting the interests of end consumers. Considerable attention is paid to the aspects of establishing the commodity turnover of enterprise, which are determined by the market challenges of building a logistics system and also trends in competition and changes in the consumer needs of buyers. It is emphasized that the logistic mechanism is a set of elements (principles, functions, tasks, etc.), which are aimed at achieving the aim and priorities of development of the enterprise. According to this approach, the built logistic mechanism is focused on creating an attractive environment for the development of new types of enterprise activities, which are largely related to digital technologies. Special attention is paid to the aspects of informatization of the enterprise’s logistic system and it is concluded that the management of logistic flows will increasingly involve the transition to digital platforms and networks in order to choose optimal and more efficient routes for the supply of products. Also, the main guidelines of the logistic mechanism include the systematic management of all flow operations and their coordination with the strategic goals of the enterprise’s development, achieving minimum costs, while saving the time and volume of delivery, increasing the efficiency of using the resource provision of the enterprise and its optimization when establishing new directions of product logistics.

Linear generalized derivations on Banach $ ^* $-algebras

<p>This paper deals with some identities on Banach $ ^* $-algebras that are equipped with linear generalized derivations. As an application of one of our results, we describe the structure of the underlying algebras. Precisely, we prove that for a linear generalized derivation $ F $ on a Banach $ ^* $-algebra $ A $, either we obtain the existence of a central idempotent element $ e\in Q $, for which $ F = 0 $ on $ eQ $ and $ (1-e)Q $ satisfies $ s_{4} $, or the set of elements $ u\in A $ such that the identity $ [F(u)^n, F(u^*)^nF(u)^n]\in Z(A) $ holds for no positive integer $ n $ turns out to be dense. In addition to this we consider an identity satisfied by a semisimple Banach $ ^* $-algebra and look for its commutativity. Moreover, some related results are also established.</p>

MANAGING EMPLOYEE COMPETENCIES IN CRISIS CONDITIONS ON THE EXAMPLE OF A MANUFACTURING COMPANY

Managing employee qualifications and competencies is an important element of all management activities and organizational policy. The subject of the research is the process of qualifications management and effective employment planning. The set of elements and factors that make up the human resources management process in a manufacturing company is taken into account. The aim of the article is to diagnose the current state and propose actions aimed at improving the qualifications management system and the personnel management planning system in a selected manufacturing company. Based on the conducted research process, it was concluded that it is advisable to place particular emphasis on the development of non-material incentive mechanisms in the proposed activities.

Chemdex: quantification and distributions of valence numbers, oxidation numbers, coordination numbers, electron numbers, and covalent bond classes for the elements.

The paper introduces Chemdex, a freely accessible web-based database of over 70 000 compounds characterised by crystallography from across the periodic table. Its software calculates for an atom of interest within each compound classifications including valence number, oxidation number, coordination number, electron number, several covalent bond classifications, and the attached atom set. Users may explore distributions of these classifications by percentages and heat map displays for individual elements or sets of elements, or in several cases for one classification plotted against a second. These properties often display clear periodicity. Based upon distributions across the periodic table of valence numbers, electron numbers, coordination numbers, and attached atom data suggestions are made regarding the placement of hydrogen in the periodic table, membership of group 3 in the periodic table, locations of the early actinoids in the periodic table, and assignments of certain elements as metalloids.

«Рыльский имянной гражданин», Гаврила Державин и «горестная вдова»: надгробие Григория Шелихова в Иркутске и мемориальные практики в России конца ⅩⅤⅢ – начала ⅩⅠⅩ века

The article discusses memorial practices at a cemetery, i.e., the practices that represent earliest attempts to communicate a late person’s status and his/her lifetime deeds. The tombstone is considered as a set of elements containing semantic load (epitaphs, visuals, design features, etc.), which help to consolidate the image of a de-ceased person. The gravestone of Grigory Shelikhov, an Irkutsk merchant known for organizing expeditions to Russian America and founding the North-Eastern Company, is selected as a notable example. This monument was constructed on the territory of the Znamensky Monastery of Irkutsk in 1800. It combines typical features as well as some unique elements of gravestones of the late 18th – early 19th centuries (such as indicating poetic epi-taphs authorship and the cost of the tombstone, as well as an unconventional image of Empress Catherine II). The authors explore the features of Grigory Shelikhov’s tombstone and the historical context around the Shelikhovs’ activities after the merchant’s death. They demonstrate that the tombstone was an attempt to demon-strate the role of the deceased in establishing the future Russian-American Company. The Shelikhov family used the monument as a tool to secure their right to control the company and to signify the family’s social capital at the local level. The authors make use of field research database “Memorial Culture in Russia: Tombstones of the 18th – 20th Centuries”, collected at the National Research University Higher School of Economics.

Systemic philosophical principles of research in agricultural practice

The article considers the possibilities of applying the systemic philosophical principles in practice. The philosophical systemic analysis applied in the study for the analysis of the given issue in agriculture makes it possible to demonstrate the integrity of the system, with the existence of links and contradictions between its elements. In this case, systemic analysis provides for the study of the considered production process as a system, with regard for all necessary internal interrelations of the process elements, relationship of the objects involved in the process with the environment, external interaction with other objects, towards achievement of a certain goal. The system is treated as a set of interrelated elements isolated from the environment and interacting with it as a whole.

Optimization of the Teaching Process of Physical Education and Training in Colleges and Universities Based on Explanatory Structural Models

Abstract This study examines the explanatory structural model’s inter-level division technique and how it relates to the directed graphs representing the system’s constituent parts. The directed graphs without loops are successfully identified by analyzing these directed graphs, and the critical elements in the set of highest-level elements are found accordingly. The reduced reachability matrix is used in the study to directly locate the corresponding sinks, and this approach not only optimizes the hierarchical effect of the elements of the complex system, but also significantly improves the computational efficiency of the explanatory structural model. We also used this refined model to examine the main variables influencing how well colleges and universities teach physical training. To maximize the effectiveness of the physical exercise teaching method, a strategy of moving from the deep to the surface was chosen, considering the hierarchical link between these components. The study’s findings demonstrated that applying this optimization method raised the subjects’ overall test scores before and after training by an average of 20.14 points. In addition, the subjects’ lung capacity increased from 4.21 liters to 4.86 liters, and the left ventricular end-diastolic volume and output per beat in terms of cardiac function increased by 11.7% and 18.9%, respectively. The study’s findings offer a significant theoretical and practical foundation for advancing physical education techniques and developing college students’ athletic potential.

Линейные интегральные операторы в пространствах непрерывных и существенно ограниченных вектор-функций

The well-established criterion for the action and boundedness of a linear integral operator K from the space L_∞ of essentially bounded functions to the space C of functions continuous on a compact set is extended to the case of functions taking values in Banach spaces. The study further shows that if the operator K is active and bounded in the space C, it is also active and bounded in the space L_∞, with the norms of K in C and L_∞ being identical. A precise expression for the general value of the norm of the operator K in these spaces, expressed in terms of its operator kernel, is provided. Addicionally, an example of an integral operator (for scalar functions) is given, active and bounded in each of the spaces C and L_∞, but not acting from L_∞ into C. Convenient conditions for checking the boundedness of the operator K in C and L_∞ are discussed. In the case of the Banach space Y of the image function values of K being finite-dimensional, these conditions are both necessary and sufficient. In the case of infinitedimensionality of Y, they are sufficient but not necessary (as proven). For "dim" Y<∞, unimprovable estimates for the norm of the operator K are provided in terms of a 1-absolutely summing constant π_1 (Y), determined by the geometric properties of the norm in Y. Specifically, it is defined as the supremum over finite sets of nonzero elements of Y of the ratio of the sum of the norms of these elements to the supremum (over functionals with unit norm) of the sums of absolute values of the functional on these elements.

Laplacian spectrum of the unit graph associated to the ring of integers modulo $ pq $

<abstract><p>Let $ R $ be a ring and $ U(R) $ be the set of unit elements of $ R $. The unit graph $ G(R) $ of $ R $ is the graph whose vertices are all the elements of $ R $, defining distinct vertices $ x $ and $ y $ to be adjacent if and only if $ x + y \in U(R) $. The Laplacian spectrum of $ G(\mathbb{Z}_n) $ was studied when $ n = p^{m} $, where $ p $ is a prime and $ m $ is a positive integer. Consequently, in this paper, we study the Laplacian spectrum of $ G(\mathbb{Z}_n) $, for $ n = p_1p_2...p_k $, where $ p_i $ are distinct primes and $ i = 1, 2, ..., k $.</p></abstract>

Аспекты управления кадровым обеспечением проектов в организационной системе

Purpose. The ongoing global changes have a significant impact on all areas of the world economy as a whole, including the domestic economy. Solving the problem of personnel shortages and the ever-increasing need of industry for qualified personnel can be achieved by improving the mechanisms of staffing management in project implementation across industries without involving intermediary firms. The purpose of the study is to increase the efficiency of decision-making in staffing management for the functioning of an organizational system by improving methodological tools. Methods. The study uses the parametric method of data analysis, the method of mathematical modeling, and also the method of structural and functional analysis. Findings. The article provides a description of the authors' model for staff selection management in the implementation of specific projects or work, while maintaining the current personnel in the organizational system. Production chains are considered and the need for localizing some parts of production chains on the territory of the Russian Federation is outlined. The possible causes and main consequences of personnel shortages in the Russian Federation are shown. The analysis of the main existing HR technologies allowed us to formulate an original approach to the rotation of existing human resources, which enables to rotate employees between projects, bypassing direct interaction with intermediaries and the labor market. The authors considered the specifics of forming a unified information base, which ensures unambiguous interpretation of the concepts used and the unity of means and methods for assessing the compliance of candidates with qualification requirements. It should be noted that the proposed management approach incorporates the redistribution practice successfully proven in the IT and consulting fields. Research application field. The developed model makes it possible to select candidates for project roles, taking into account the possibility of choosing candidates who do not strictly meet the initial requirements. Conclusions. A mathematical model for project staffing management in an organizational system is proposed. It differs from the known models by utilizing competencies and employee rotation in organizational systems. Competencies are represented as an original set of interchangeable elements (knowledge, skills, abilities), allowing for the selection of employees based on specified qualification requirements.

ОСОБЛИВОСТІ ОРГАНІЗАЦІЇ ВНУТРІШНЬОГО КОНТРОЛЮ НА ПІДПРИЄМСТВАХ З ПРОКАТУ МАЙНА

The article examines the peculiarities of the organization of internal control at property rental enterprises. The main elements of the internal control system of property rental enterprises are determined – control environment, goals, functions, tasks, principles, subjects, objects, control procedures, methods and users of control information. The organization of the internal control system of rental business enterprises is defined as a set of actions aimed at ensuring the effective functioning of a set of interconnected and interdependent elements, thanks to which internal control acquires rational characteristics necessary for the implementation of the tasks and achievement of the goals set by the owners and management of the enterprise. Attention is drawn to the fact that approaches to the organization of internal control will depend on the policy followed by the owners and management of the enterprise in order to establish an effective mechanism for the functioning of this control system. The purpose and goals of internal control in the information provision of the management system of the decision-making process in order to create conditions for the effective operation of rental business enterprises are specified. Determining the functions of internal control. It is recommended to start the organizational process with the setting of control tasks, based on which the control objects and the list of control procedures that will be used in the process of their verification are specified. The need to implement all stages of the organization of internal control in compliance with the key principles of control was considered. Attention is paid to the world practice of using the COSO model of internal control construction, with the definition of the conceptual basis of risk management and the goals it is focused on achieving. The importance of identifying risks associated with the functioning of control objects of property rental enterprises is revealed, which directs the attention of internal control to those areas where financial losses are most likely to occur. Attention is focused on the need to define the circle of persons who carry out control, i.e. control subjects who will perform specific tasks of control of property rental activities. It is recommended to distribute powers between control subjects in accordance with job duties in the organizational structure of the enterprise or internal control service, with the establishment of information links between all control subjects. The possibility of organizing internal control at rental business enterprises under outsourcing conditions was considered.