Basis Elements Research Articles

Research on the Design of Lower Extremity Rehabilitation Assistive Devices Based on User Experience

With the aggravation of social aging, patients with lower extremity movement disorders are also increasing year by year. The elderly with lower extremity movement disorders have their own characteristics in physiology, psychology and behavior. Firstly, this paper analyzes the research and development status of lower extremity rehabilitation assistive devices by data analysis and induction. Secondly, the physiological, behavioral and psychological characteristics of the elderly were analyzed through interviews and observation to understand the use of lower extremity assistive devices, and in-depth analysis was made on user needs and product pain points. Based on this analysis, this paper puts forward the design principles and elements based on the theoretical basis of user experience elements, increases the humanized design of lower extremity rehabilitation assistive devices, improves the safety and interest of products, and enhances user experience.

The Application Path of the Rule of Presumption of Evidence in Maritime Administrative Cases

Article 35 of the Coast Guard Law of the People's Republic of China stipulates the rules for presumption of evidence in handling maritime administrative cases, which is a clear legal provision for the reversal of the burden of proof. The parties involved need to bear the complete burden of proof. In the specific application of administrative cases, maritime police agencies should strictly focus on the three basic elements of the presumption basis, basic facts, and illegal facts of the evidence presumption rule. Article 35 of the Maritime Police Law is both a presumption basis and a judicial norm. Maritime police agencies need to bear the burden of proof for the basic facts of the destruction of evidence by the parties. After reaching the standard of proof that eliminates reasonable suspicion, they can infer that the parties have violated the law. At the same time, in order to safeguard their legitimate rights and interests, the parties may refute the basic facts claimed by the maritime police agency or prove that the presumed facts of the maritime police agency are incorrect, but they do not demand a higher standard of proof for the basic facts than the maritime police agency.

Theoretical Investigation of Electric Polarizability in Porphyrin-Zinc and Porphyrin-Zinc-Thiazole Complexes Using Small Property-Oriented Basis Sets.

Porphyrin complexes are of great importance due to their possible applications as sensors, solar cells and photocatalysts, as well as their ability to bind additional ligands. A valuable source of knowledge on their nature is their electric properties, which can be evaluated employing density functional theory (DFT) methods, supporting the experimental research. The present work aims at the application of small property-oriented basis sets in calculation of electric properties in transition metals, their oxides and test coordination complexes. Firstly, the existing polarized ZPol basis set for the first-row transition metals is modified in order to improve atomic polarizability results. For this purpose, optimization of the f-type polarization function exponent is carried out with respect to the value of average atomic polarizability of investigated metals. Next, both the original and the modified basis sets are employed in finite field CCSD(T) calculation of transition metal oxides' dipole moments, as well as DFT calculation of polarizabilities in porphyrin-zinc and porphyrin-zinc-thiazole complexes. The obtained results show that the ZPol and ZPol-A basis sets can be successfully employed in the calculation of linear electric properties in large systems. The optimization procedure used in the present work can be employed for other source basis sets and elements, leading to new efficient polarized basis sets.

About the characteristic features of Russians (territorial and settlement aspect)

Relevance. In the post-Soviet era, changes in the consciousness and behavior of the masses of people became inevitable. The study of the structure of characteristic features (consciousness and behavior) of Russians (both positive and negative) in modern conditions is of great scientific and practical interest.The purpose is to use sociological materials to identify the hierarchical structure of characteristic positive and negative traits (consciousness and behavior) of Russians, including by territorial settlement groups.Objectives: to analyze the assessments of positive and negative traits inherent, in the opinion of respondents, to people of their generation; to identify their hierarchical structure and characteristics by territorial settlement groups.Methodology. The sociological survey and the sampling method, methods of grouping data, their analysis and generalization, and correlation analysis were used.Results. The leading features (both positive and negative) inherent, in the opinion of respondents, to people of their generation are revealed, as well as the relationships between them by territorial settlement groups are revealed.Conclusions. The positive features that have taken the leading places indicate the high potential of humanism and harmonious personality development among the majority of Russians. The negative traits that took the leading places indicate a relatively low level of sociality, social empathy and social responsibility of significant masses of people (according to respondents' estimates). However, the respondents' overall assessment of people of their generation is predominantly positive, which gives grounds for social optimism. At the same time, although the differences between territorial settlement groups in both positive and negative features are not antagonistic, they can be the basis for elements of contradictions and conflicts. Consistent active work of advanced social forces is necessary, first of all, by means of education to strengthen the positive traits of people as a "situationally dominant factor" and a center of attraction, a positive pole, especially for the younger generations.

Accelerated iterative DG finite element solvers for large-scale time-harmonic acoustic problems

Finite element methods are widely used to solve time-harmonic wave propagation problems, but solving large cases can be extremely difficult even with the computational power of parallel computers. In this work, the linear system resulting from the finite element discretization is solved with iterative solution methods, which are efficient in parallel but can require a large number of iterations. In standard discontinuous Galerkin (DG) methods, the numerical solution is discontinuous at the interfaces between the elements. In hybridizable DG methods, additional unknowns are introduced at the interfaces between the finite elements, and the physical unknowns are eliminated from the global system, resulting in a hybridized system. We have recently proposed a new strategy, called CHDG, where the additional unknowns correspond to transmission variables, whereas in the standard approach they are numerical fluxes. This strategy improves the properties of the hybridized system for faster iterative solution procedures. In this talk, we present and study a 3D CHDG implementation with nodal finite element basis functions. The resulting scheme has properties amenable to efficient parallel computing. Numerical results are presented to validate the method, and preliminary 3D computational results are proposed.

Causal Fermion Systems and Octonions

AbstractThe authors compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. It is found that octonions and, more generally, tensor products of division algebras come up naturally to describe the symmetries of the vacuum configuration of a causal fermion system. This is achieved by associating the real and imaginary octonion basis elements with the neutrino and charged sectors of the vacuum fermionic projector, respectively. Conversely, causal fermion systems provide octonionic theories with spacetime structures and dynamical equations via the causal action principle. In this way, octonionic theories and causal fermion systems complement each other.

Stretched-exponential melting of a dynamically frozen state under imprinted phase noise in the ising chain in a transverse field

The concept of dynamical freezing is a phenomenon where a suitable set of local observables freezes under a strong periodic drive in a quantum many-body system. This happens because of the emergence of approximate but perpetual conservation laws when the drive is strong enough. In this work, we probe the resilience of dynamical freezing to random perturbations added to the relative phases between the interfering states (elements of a natural basis) in the time-evolving wave function after each drive cycle. We study this in an integrable Ising chain in a time-periodic transverse field. Our key finding is, that the imprinted phase noise melts the dynamically frozen state, but the decay is “slow”: a stretched-exponential decay rather than an exponential one. Stretched-exponential decays (also known as Kohlrausch relaxation) are usually expected in complex systems with time-scale hierarchies due to strong disorders or other inhomogeneities resulting in jamming, glassiness, or localization. Here we observe this in a simple translationally invariant system dynamically frozen under a periodic drive. Moreover, the melting here does not obliterate the entire memory of the initial state but leaves behind a steady remnant that depends on the initial conditions. This underscores the stability of dynamically frozen states.Graphical abstract

A Feasibility Study on the Intelligent Teaching Model of English Oral Course in Applied Undergraduate Universities under the Background of "Double Innovation and Entrepreneurship"

This article aims to explore the feasibility of the intelligent teaching mode for English oral courses in applied undergraduate universities under the background of "Mass Entrepreneurship and Innovation." The literature review section discusses the relationship between entrepreneurial education and English oral teaching, and summarizes the application experiences of intelligent teaching models in other disciplines. Simultaneously, the current status and issues of English oral courses in applied undergraduate universities are analyzed. In the research framework and theoretical foundation section, the article integrates the theoretical framework and practical application of entrepreneurial education with the theoretical basis and constituent elements of the intelligent teaching mode, providing theoretical support for subsequent research. Subsequently, based on the analysis of the current status of English oral courses in applied undergraduate universities under the context of entrepreneurship and innovation, including course objectives and requirements, teaching content and methods, as well as student characteristics and needs, a foundation is laid for the design of the intelligent teaching mode. The importance of teaching resources and technological support is emphasized, personalized learning and intelligent assessment methods are explored, and the optimization of the teaching process and elements is highlighted.

Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems

Common formulations of the eddy current problem involve either vector or scalar potentials, each with its own advantages and disadvantages. An impasse arises when using scalar potential-based formulations in the presence of conductors with non-trivial topology. A remedy is to augment the approximation spaces with generators of the first cohomology group. Most existing algorithms for this require a special, e.g., hierarchical, finite element basis construction. Using insights from de Rham complex approximation with splines, we show that additional conditions are here unnecessary. Spanning tree techniques can be adapted to operate on a hexahedral mesh resulting from isomorphisms between spline spaces of differential forms and de Rham complexes on an auxiliary control mesh.

Drug Tracing System Using Blockchain Technology

Healthcare supply chains are complicated networks that span various departmental and geographical limits and provide the foundation for many benefits that are necessary for everyday life .The difficulties of this systems can result in contaminations such as erroneous data and lack of clarity and poor data origin. one issue of present supply chain restrictions is the production of counterfeit drugs, which not only has negative impact on people health but also has negative impact on financial status of pharmaceutical business. A recent research emphasised the importance of a well founded end-to-end track and trace system for health care supply chains .The smart contract ensures data provenance and gives all participants access to a secure unalterable transaction history .Moreover, it eliminates the need for intermediaries we give a high-level overview of thesystem architecture and algorithms that form the basis of the key elements of our proposed solution. we test and analyse the system to find how effectively it can enhance traceabilityinside health care supply chains before providing a cost and security analysis Keywords— Drug Counterfeiting , Supply Chain, Blockchain, Traceability, Healthcare, Trust, Securit

Study on the Criminal Law Protection of Virtual Property

With the advent of the network era, more and more criminal cases involving virtual property have occurred. The protection of virtual property has become an issue of urgent concern to the legal profession. However, the current reality is that in the legal regulations and theoretical practice, there is no accurate legal qualification of virtual property. It is urgent and necessary to analyse the legal nature of the virtual property and the corresponding legal interests. At the same time, the criminal law research and protection of the relevant infringement on the basis of the related normative elements have also become one of the urgent issues at the present time. Based on the above, this paper researches and analyses the legal attributes of virtual property in the criminal law protection of virtual property by using the research methods of normative analysis, comparative research and case study. At the same time take into account the inadequacy of the criminal law protection research and analysis. Finally, it provides recommendations for the protection of virtual property in criminal law in the areas of legislation, justice, international cooperation and technical means.

Contesting the Kemalist State: The Land Question and the Grass Root Civic Activity in the 1920–1930s Turkey

The author scrutinizes the development of civil society in the early republican Turkey focusing on the models of its interaction with the state in the context of Kemalist revolution, namely the large-scale reforms of the 1920s and 1930s aimed at building the “New Turkey” as a modern secular nation-state. He analyses various manifestations of grass root civic activity in Turkey in the 1920s and 1930s. In doing so, it focuses on the rural population’s reaction to the Kemalist land and taxation reforms. The article contributes to the exiting literature in two following ways. First, it challenges the existing assumption that the rural population of the early Republican Turkey sporadically protested against only the most visible cases of social injustice. It also suggests counterarguments to the thesis that at that time the center and periphery had their own socio-political dynamics isolated one from another. Second, the article introduces to the reader a wide range of Turkish sources (e.g., “public columns” in the main periodicals of that time, petitions published in the yearly books of the Grand National Assembly of Turkey, party inspectors’ reports stored in the fund of the Republican People’s Party). An analysis of the data presented in these sources and its comparison against already known historical facts form the article’s methodological framework. The author explains the key social contradictions about the land question. He further on defines the main forms of systemic grass root civic activity and the structural elements of the Kemalists social basis on the periphery. The main findings are that in the 1920–30s the rural Turkey witnessed both legal and illegal forms of resistance. The absence of a full-scale working formal state structure on the periphery made the Kemalist state curbing this resistance by using patron-client networks centered on the figures of “aga”, the wealthy local landlords and merchants.

Schistophleps kendricki sp. nov. (Lepidoptera: Erebidae: Arctiinae) from Bangladesh with an overview of the genus

Schistophleps Hampson, 1891 is one of the most frequently occurring genera of tiger moths, widely distributed in the Oriental and Australian regions. However, a lion’s share of the species belonging to this genus are poorly known except the original descriptions. In this article, we provide a brief overview of all known species currently assigning to this genus. We divide the species into albida, bicolora, bipuncta, flavia, fulvia, hyalina, and subtilis species groups on the basis of wing pattern elements along with geographic distributions, and four highly obscure species are discussed as a miscellaneous group. Among the species, Schistophleps bipuncta Hampson, 1891 is the most frequently occurring taxon having a distribution stretching all over the South East Asia. However, the variable wing maculations and other features, reflected through the observations on various citizen science platforms from different regions of the Indian subcontinent indicate to a sibling species yet to discover. Herein, we describe the species as Schistophleps kendricki Rayhan, Bucsek, & Jahan sp. nov., from Chittagong, Bangladesh that is similar to the Schistophleps bipuncta species group in wing maculation, but markedly differs from all of its closely allied congeners in the genitalia configurations in having characteristic modification of uncus. Besides, a comparison of observations on different citizen science platforms from the Indian subcontinent is provided that suggests the possible distribution of this new species throughout the Bengal including West Bengal, India and Bangladesh.

On the monotonicity of the Hilbert functions for 4-generated pseudo-symmetric monomial curves

In this article we solve the following problem: “The Hilbert function of the local ring of a 4-generated pseudo-symmetric numerical semigroup is always non-decreasing.” We give a complete characterization of the standard bases when the tangent cone is not Cohen-Macaulay by showing that the number of elements in the standard basis depends on some parameters we define. Since the tangent cone is not Cohen-Macaulay, non-decreasingness of the Hilbert function was not guaranteed, thus we proved the non-decreasingness from our explicit Hilbert function computation.

Frames of Group Sets and Their Application in Bundle Theory

We study fiber bundles where the fibers are not a group G but a free G-space with disjoint orbits. The fibers are then not torsors but disjoint unions of these; hence, we like to call them semi-torsors. Bundles of semi-torsors naturally generalize principal bundles, and we call these semi-principal bundles. These bundles admit parallel transport in the same way that principal bundles do. The main difference is that lifts may end up in another group orbit, meaning that the change cannot be described by group translations alone. The study of such effects is facilitated by defining the notion of a basis of a G-set, in analogy with a basis of a vector space. The basis elements serve as reference points for the orbits so that parallel transport amounts to reordering the basis elements and scaling them with the appropriate group elements. These two symmetries of the bases are described by a wreath product group. The notion of basis also leads to a frame bundle, which is principal and so allows for a conventional treatment. In fact, the frame bundle functor is found to be a retraction from the semi-principal bundles to the principal bundles. The theory presented provides a mathematical framework for a unified description of geometric phases and exceptional points in adiabatic quantum mechanics.

INCREASING THE RELIABILITY OF THE SYSTEM OF AUTOMATIC VOLTAGE REGULATION OF LOW-VOLTAGE CIRCUITS OF ELECTRICAL DIRECT CURRENT MOVEMENT COMPONENTS

Purpose. The purpose of this work is the analysis of possible directions for improving the performance indicators of electric rolling stock of direct current railways. The work is devoted to the improvement of systems of automatic voltage regulation of low-voltage circuits where the power source is a direct current generator. The number of electric locomotives and electric trains of railways and their units, which have exhausted their service life, but will be in service for a long time, preserves the relevance of research into possible directions of modernization and the specifics of system operation. Methodology. The work uses the analysis and generalization of previously performed research. The methodological basis of the research is the mathematical apparatus of the theory of automatic control and the theory of reliability. The object of research is the process of functioning of low-voltage control circuits of electric rolling stock of direct current railways with direct current generators as an energy source. The subject of the study is a voltage regulator for own needs based on a modern element base. Findings. A variant of the system of automatic voltage regulation of low-voltage circuits with generator power sources for electric rolling stock of direct current is offered. The basis of the system is the voltage regulation node, which in the existing structure is made on the basis of a carbon vibration regulator on a strip. As an alternative, a system based on operational amplifiers and the use of proportional or proportional-integral laws of the regulator in the structure is proposed. Modeling of dynamic processes indicates the structural stability of the system and qualitative transition processes. A comparison of the no-failure indicators of the nodes indicates a possible increase in terms between services and cost savings. The comparison is made for systems that are in operation for a long time and those that are offered. Originality. It is proposed to implement the node of the system of automatic voltage regulation on a modern elemental basis, which allows to improve the reliability of the system and implement a small, economical, modernization of rolling stock of railways with an exhausted service life. Practical value. The obtained results can be used by enterprises that carry out major repairs of electric trains and direct current electric locomotives with extended service life. The implementation of the proposed units makes it possible to replace existing contact-based relay systems with fast contact wear, frequent maintenance and debugging. As a result, new units can be transferred to service during current repairs due to the introduction of non-contact systems and increase the probability of trouble-free operation and use the personnel who are always present in locomotive depots. This reduces the cost of maintenance due to the introduction of a modern element base and exclusion from the technological process of maintenance of existing units.

Constraints of local stiffness adaption for reduced-order models of large-scale steel bridges

Large and complex structures, such as bridges, are subjected to a variety of environmental factors and loads over time, leading to evolving structural states. To assess their current condition and plan predictive maintenance, Digital Twins enriched with Structural Health Monitoring (SHM) data are essential. However, for large-scale structures, the creation of physics-based Digital Twins necessitates reduced-order modeling to ensure efficient adaptation to SHM data. Many of these methods for structural damage assessment rely on localized stiffness reduction to characterize discrete damage states. The Static Condensation Reduced Basis Element (SCRBE) method is a promising approach for model order reduction by decomposing the structure into parametric components. However, SCRBE's effectiveness and the accuracy of the Digital Twin depend on an appropriate partitioning of the structure into to components with reduced stiffness. This paper systematically investigates the process and the constraints of component selection for steel bridges with discrete damages, considering factors like numerics, sensor placement and complex geometries. A comprehensive analysis is conducted using a real bridge case study augmented with synthetic measurement data representing damage scenarios. The results reveal both challenges and the potential of the SCRBE method for Digital Twins. A systematic approach for component selection within the SCRBE framework is proposed, specifically tailored for real-world application scenarios. This structured methodology facilitates the efficient and adaptive development of Digital Twins for large, intricate structures, such as steel bridges.

The world of Polish Army officers’ values

Values are a very complex subject of research not only from an individual but also from a collective perspective. The first approach places them in the culture of the individual and refers to primary and secondary socialisation and cultural participation. The second approach deals with the culture of the organisation and its axiological specificity. The article attempts to identify value systems in a specific organisation such as the army. On the basis of qualitative research (triangulation, source analysis and interviews with former officers), fixed and variable elements of the organisational culture canon and values recognised by representatives of the officer community were exemplified. The analysis of the content of the literature on the subject and the results of author’s own research indicate that the systems of individual values among officers, although differing significantly, have sets of constant universal values that are acquired under the influence of time in service and experience and the culture of the organisation. The variable differentiating values among officers are individual aspirations and environmental factors shaping the worldview and attitude towards the reality around them. The article attempts to identify the factors shaping the axionormative order of Polish Army officers and to define the values shaping their social pattern.

EFFECT OF Rh-DOPING ON THE OPTICAL ABSORPTION OF THE (001) BaTiO<sub>3</sub> SURFACE

Barium titanate is one of the most studied perovskite materials due to its substitution ability at both nodes of the crystal lattice, high dielectric constant, and stability. It has many outstanding characteristics, especially ferroelectric and dielectric properties, which can be improved by alloying, making this material suitable for a wide range of applications. In this paper, the effect of Rh doping on the structural, optical properties and electronic density of states of this compound is investigated. According to our calculations, Rh doping is a method that helps to increase the ability of BaTiO3 to absorb more light and reduce the excess potential required for water oxidation. Calculations of the electronic density of states were carried out using the hybrid functional HSE06. The analysis of optical properties was performed on the basis of matrix elements with a transient dipole moment. Studies have confirmed that the (001) BaTiO3 surface with terminated TiO2 has significant potential for use as a catalyst. Rh doping leads to an expansion of the spectrum of absorbed light over the entire visible range.

ХААХИРГААН ДУУН ‒ «ВОЛЧЬИ ПЕСНИ» ЗАПАДНЫХ БУРЯТ

The article is devoted to the study of the Western Buryat lingering invocation chant хаахиргаан/зэргэйн дуун, also known in literature as ай дон дуун. The special tradition of performing, which existed in the culture of the Western Buryats, is considered. On the basis of the study of the pub-lished lyrics and their musical notations, the original melodic basis of the main element of those chants is reconstructed ‒ ай-ээ-э which goes back to the imitation of the wokf’s voice/howl conditioned by the totemic beliefs taken place in the past history and culture of the Buryats.