Mapping Principle Research Articles

Research on Rock Energy Constitutive Model Based on Functional Principle

The essence of rock fracture can be broadly categorized into four processes: energy input, energy accumulation, energy dissipation, and energy release. From the perspective of energy consumption, the failure of rock materials must be accompanied by energy dissipation. Dissipated energy serves as the internal driving force behind rock damage and progressive failure. Given that the process of rock loading and deformation involves energy accumulation and dissipation, the rock constitutive model theory is expanded by incorporating energy principles. By introducing the dynamic energy correction coefficient, according to the law of the conservation of energy, the total energy exerted by external loads on rocks is equal to the energy dissipated through the dynamic energy inside the rocks. A new type of energy constitutive model is established through the functional principle and momentum principle. To validate the model’s accuracy, a triaxial compression test was conducted on sandstone to examine the stress–strain behavior of the rock during the failure process. A sensitivity analysis of the parameters introduced into the model was conducted by comparing the model results, which helped to clarify the innate laws of significance of these parameters. The results indicated that the energy model more accurately captures the non-linear mechanical behavior of sandstone under high-stress loading conditions. The model curve fits the test data to a high degree. The fitting curve was basically consistent with the changing trend of the test curve, and the correlation coefficients were all above 0.90. Compared with other models, the model based on the energy principle not only accurately reflects the rock’s stress–strain curve, but also reflects the energy change law of rock. This has reference value for the safety analysis of rock mass engineering under loading conditions and aids in the development of anchoring and support schemes. The research results can fill in the blanks that exist in the energy method in terms of rock deformation and failure and provide a theoretical basis for deep rock engineering. Moreover, this research can further improve and extend the rock mechanics research system based on energy.

Study of directions of unification of technology transfer in ukraine with the regulation of the European Union

Problem setting. In modern economic conditions, the key to effective economic development of any country is the development of the production sphere of the national economy. At the same time, its level depends on the penetration of knowledge-intensive, advanced and breakthrough technologies. Most economically developed countries even implement integrated state policies aimed at stimulating and scaling technology transfer processes. Thanks to this, the number of those technologies that are implemented in the sphere of public production increases, and the share of highly competitive products increases significantly. The economic system of Ukraine is no exception to this rule. Thus, since 2006, Ukraine has had a special official document the Law of Ukraine “On State Regulation of Activities in the Field of Technology Transfer”. Its main task is to determine the requirements of how the state (in the form of authorized bodies) will contribute to the scaling process of technology transfer. The course announced by Ukraine for joining the European Union (hereinafter referred to as “the EU”) imposes on it special obligations regarding the unification of regulatory approaches to the identification of technology transfer with EU requirements. The specified situation determines, on the one hand, the relevance of scientific research on this topic, and places on scientists the task of forming relevant proposals. It is science that should shape them and determine effective directions, methods and forms of unification of the principles of functioning of Ukraine with EU requirements and thereby stabilize and intensify the transfer of technologies. Purpose of research is to develop methods and techniques for unifying the regulatory approach to defining the essence of technology transfer in Ukraine with the requirements of the European Union. This will make it possible to formulate recommendations for the Ukrainian public authorities when they implement managerial decisions within the framework of the State technology policy and form the basis for proposals for amending its national regulatory acts. To achieve this goal, it is necessary to solve the following interrelated tasks: (1) to analyze the state of regulatory support for technology transfer under EU law; (2) to study the state of regulatory support for technology transfer under Ukrainian law; (3) to formulate proposals on the main directions of unification of legal regulation of technology transfer under Ukrainian law with the requirements of EU law. Analysis of recent research and publications. An analysis of recent research and publications on the topic shows that many scholars have considered the general issues of state intervention in the national economy. The problem of the essence of technology transfer has been studied both at the level of independent economic systems and within international organizational entities. Article’s main body. The object of this research is a set of regulatory methods and techniques for determining the content and essence of such a category as technology transfer. Both the requirements of Ukraine and the regulatory approaches of the European Union are studied. The analysis and generalization of the existing world and international approaches to the identification of the essence of technology transfer established that they are not unified among themselves and differ significantly from each other. It has been proven that this does not meet the needs of technology transfer participants and does not meet the strategic goals of Ukraine’s development. The expediency of expanding the existing concept of determining the essence of technology transfer defined in Ukraine is substantiated. Recommendations on directions for the unification of regulatory approaches to the definition of technology transfer with the European Union have been formed. The need to amend the provisions of the Law of Ukraine “On State Regulation of Activities in the Field of Technology Transfer” in order to bring it into line with the requirements of the European Union has been proven. Conclusions and prospects for development. It was determined that the current legislation of Ukraine contains a narrower approach to determining the essence of technology transfer. Recommendations on the unification of the requirements of Ukraine with the requirements of the EU, on the issue of identification of technology transfer, have been formed. The expediency of expanding the forms of technology transfer is substantiated by supplementing them with the following: – Transfer of technology during the implementation of special interstate defense and industrial programs. – Transfer of technology within the framework of grant funding and cooperation. – Transfer of technology during the implementation of public procurement. – Transfer of technology as a contribution to the integral property complex (statutory or accumulated capital) of economic entities. – Transfer of technology during the creation of startups.

Ensuring social standards as a principle of functioning of state authorities in accordance with the Association Agreement (theoretical and legal aspect)

The article discloses the content of social standards that state authorities are obliged to observe in the process of exercising their competence after the Association Agreement enters into force. Attention is focused on the fact that EU requirements regarding the activities of all branches of the state apparatus of Ukraine in terms of ensuring social standards are of primary importance in the context of the introduction of European approaches to good governance. It is substantiated that the timely and optimal implementation of EU social standards in Ukraine is possible only if a special legal mechanism is developed and applied. The heart of such a mechanism is the Association Agreement. Based on the analysis of the provisions of the specified document, the essence of the most significant social standards, which Ukraine undertakes to implement in practice, has been identified and disclosed. In particular, it is ensuring justice and improving the quality of life of citizens on the basis of equality and non-discrimination, increasing the level of social orientation of state policy towards migrants, introducing innovative approaches in the sphere of activity of authorities to combat the illegal circulation of narcotic drugs, precursors and psychotropic substances in order to overcome negative consequences for health and the negative social consequences of drug addiction, taking into account the social interests of the modern population while simultaneously caring for future generations, developing measures aimed at minimizing the risks to the population’s health from the nuclear industry, the social orientation of the organization of the fiscal and economic policy of the state. It has been proven that against the background of the deepening of the European integration processes of Ukraine, the modernization of the domestic social policy of the state is inevitable. First of all, this process requires the creation of an innovative legal basis for diversifying the mechanisms of its implementation, leveling the level of socio-economic development of Ukraine in order to avoid regional socio-economic asymmetry. In practice, this takes the form of changes in the legal regulation of a significant number of institutions of social security law of Ukraine, revision of organizational and legal approaches of state administration in the direction of implementing social standards.

Positive Solutions to a System of Coupled Hadamard Fractional Boundary Value Problems

We explore the existence, uniqueness, and multiplicity of positive solutions to a system of Hadamard fractional differential equations that contain fractional integral terms. Defined on a finite interval, this system is subject to general coupled nonlocal boundary conditions encompassing Riemann–Stieltjes integrals and Hadamard fractional derivatives. To establish the main results, we employ several fixed-point theorems, namely the Banach contraction mapping principle, the Schauder fixed-point theorem, the Leggett–Williams fixed-point theorem, and the Guo–Krasnosel’skii fixed-point theorem.

Electron surface scattering kernel for a plasma facing a semiconductor.

Employing the invariant embedding principle for the electron backscattering function, we present a scheme for constructing an electron surface scattering kernel to be used in the boundary condition for the electron Boltzmann equationof a plasma facing a semiconducting solid. The scheme takes the solid's microphysics responsible for electron emission and backscattering from the interface within a randium-jellium model into account and is applicable to dielectrics and metals as well. As an illustration, we consider silicon and germanium, describing the interface potential by a Schottky barrier and including impact ionization across the energy gap as well as scattering on phonons and ion cores. The emission yields deduced from the kernel agree well enough with measured data to support its use in the electron boundary condition of a plasma facing silicon or germanium.

ENHANCED MODEL-FREE PREDICTIVE CONTROL FOR VOLTAGE SOURCE INVERTERS USING AN ADAPTIVE OBSERVER

In this paper, a free model predictive control based on the active vector execution time (AVET-MFPC) using an adaptive observer is proposed for two-level voltage source inverters. The traditional model-free predictive control (MFPC) uses the sampling period to select one voltage vector for all candidate vectors according to the minimizing cost function principle. With the proposed control, two vectors are selected at one sampling period. The first vector is an active vector that uses the execution time of the active vector to select it, while the second one is a zero vector as it is applied after the active vector. The execution time is calculated using the ultra-local model (ULM) equation. In the traditional MFPC, the factor in the ULM is chosen with approximate values ranging between ±50 % of the nominal value. This paper proposes an adaptive sliding mode observer (ASMO) with an improved design to observe the variation of this factor, especially in case of mismatch parameters and during a step change in the reference signal. Combining the proposed ASMO observer and the AVET-MFPC controller gives faster system response, good tracking results, and less computational burden. Finally, the effectiveness of the proposed control model is approved and confirmed under various conditions, as well as the simulations carried out and the results obtained.

About the experience of medical-geographical atlas mapping of the North Kazakhstan region

The article is devoted to medical and geographical atlas mapping. The results and accumulated materials of medical and geographical research of the North Kazakhstan region are presented, systematized and collected in a single key in the form of a complex of maps and models - a thematic medical-geographical atlas. The development of the atlas was based on the generally accepted principles of integrated system mapping. An extensive array of literary, reference, statistical, and cartographic data was used to create the atlas. Geoinformation mapping was performed in the program ArcGIS 10.8. (ESRI Inc.). The stages of development, structure, and content of the atlas are described. The atlas includes maps reflecting the natural, socio-economic factors of the formation of the health of the population of the region, demographic characteristics. In addition, it presents a series of maps on the nosogeography of natural focal diseases, the organization of the health system, and natural healing resources. The developed atlas is of a reference and informational nature and is intended for specialists of the healthcare system of the North Kazakhstan region, geographers, ecologists, as well as persons interested in medical and geographical research and mapping.

Biquaternion ambiguity function and associated uncertainty principles

A mathematical tool used to analyze signals in high-dimensional areas is the biquaternion ambiguity function. While typical ambiguity functions deal with time delay and Doppler frequency, biquaternion ambiguity functions extend the concept to rotations and scaling factors. Biquaternion ambiguity functions offer a more thorough representation of signal ambiguity in these high-dimensional spaces, which can help develop better signal processing algorithms for a range of uses. In this paper, we introduce the notion of biquaternion ambiguity function which is formed from conventional ambiguity function by invoking biquaternion algebra. We first establish the various properties, namely dilation, translation, shift, nonlinearity, boundedness, reconstruction formula, Moyal’s formula, and inversion formula. An interesting relationship between the biquaternion Fourier transform and the biquaternion ambiguity function is also established. Furthermore, we establish the various versions of uncertainty inequalities namely, Pitt’s inequality, sharp Hausdorff–Young inequality, sharp Local uncertainty principle and logarithmic uncertainty principle for biquaternion ambiguity function. Some potential applications are also presented at the end.

Tolerating injustice when feeling in control: Personal control enhances the link between collectivism and coercion in the face of disease threats

Amid the COVID-19 pandemic, authorities worldwide imposed coercive regulations aimed at curbing the virus’s spread, often at the expense of individuals who were considered potential threats to public health. We argue that individual differences in their support for such actions can be understood from the perspective of an evolved “behavioral immune system”. We conducted two studies within the context of the “zero-COVID” policy in Mainland China. Study 1 recruited 819 Shanghai residents during a strict citywide lockdown and found that individuals’ collectivistic orientation and personal control over their lives predicted their tolerance of injustices involved in disease-control measures. Moreover, the effect of psychological collectivism was enhanced by personal control. Study 2 (N = 403) partly replicated these findings using hypothetical scenarios related to various fictitious viruses. Notably, the effects found in Study 1 only manifested in scenarios involving ambivalent pathogens, which are seldom fatal but highly contagious. Building on the functional flexibility principle of the behavioral immune system theory, we discussed the unique role of ambivalent pathogen signals in generating within-society variability and fine-tuning behavioral immune responses.

Controllability results of discrete boundary control system in Banach spaces

In this paper, we study the boundary controllability of the discrete-time control system in Banach spaces. The aim is to establish sufficient conditions for the existence and uniqueness of solutions, as well as for the approximate controllability of a discrete-time boundary control system. The form of the solution to the considered system and its existence and uniqueness are obtained using non-linear functional analysis, theory of difference equations, semigroup theory and contraction mapping principle. Furthermore, we achieve the approximate controllability results through a sequential approach. In the end, we present some examples to illustrate the application of these analytical results.

Periodic solution for neutral-type differential equation with piecewise impulses on time scales

In this paper, we establish the existence and stability of periodic solutions for neutral-type differential equations with piecewise impulses on time scales. We first obtain some sufficient conditions for the existence of a unique periodic solution by using the Banach contraction mapping principle. We also prove the existence of at least one periodic solution using the Schauder fixed point theorem. In addition, we establish the stability results based on the existence of periodic solutions. It is worth noting that the results of this paper are based on time scales, so that they are applicable to continuous, discrete, and other types of systems.

Optical Target Projector: Principle of Functioning and Basic Performance Test.

Faced with measurement conditions such as high-temperature forging, strict prohibition of surface contamination, and toxic environments, using the projection point of an optical target projector (referred to as an "optical projector") as a photogrammetric target has become a necessary method of high-precision industrial photogrammetry. In connection with the current industrial demand, we have analyzed the principles of optical projectors and introduced their optical characteristics and advantages in the field of industrial photogrammetry. On this basis, a series of tests such as brightness, roundness, and so on were conducted to determine the basic properties of the optical projector. A set of performance test methods including inner coincidence accuracy and outer coincidence accuracy were proposed; the tests included industrial photogrammetry system measurement repeatability, surface measurement precision, and a comparison test with laser tracker. The test conditions used optical projection points as the photogrammetry targets. The test results showed that the coordinate measurement repeatability of the industrial photogrammetry system is 0.010 mm, and the surface measurement precision is 0.007 mm under the condition of a single optical projector station, with little difference between the results under the condition of pasting retro-reflective targets. In the process of the comparison test with laser tracker, the image quality of the black measurement object obtained is obviously inferior to other surfaces, so the analysis of the point projector is greatly affected by the color of the measured object and other conditions, which provides a reference for the measurement object and application range of the industrial photogrammetric system based on optical targets. The results demonstrate the applicability and reliability of using the optical projection point of an optical projector as target points for photogrammetry.

A Fixed Point Approach to the Stability of a Quadratic Functional Equation in Modular Spaces Without Δ2-Conditions

Abstract In this paper, we investigate the Hyers-Ulam-Rassias stability property of a quadratic functional equation. The even and odd cases for the corresponding function are treated separately before combining them into a single stability result. The study is undertaken in a relatively new structure of modular spaces. The theorems are deduced without using the familiar Δ2-property of that space. This complicated the proofs. In the proofs, a fixed point methodology is used for which a modular space version of Banach contraction mapping principle is utilized. Several corollaries and an illustrative example are provided.

Development of functionality principles for the automated data transmission system through wireless communication channels to ensure information protection

The development of data transmission systems based on wireless radio communication channels allowed the construction of fundamentally new networks – mesh networks, which are used not only in smart technologies, but are the basis for the construction of cyber-physical and socio-cyber-physical systems (objects of critical infrastructure). The object is the process of ensuring reliable and secure data transmission based on the use of wireless radio communication channels. A mathematical model of information resources protection system functioning is proposed to ensure the signs of immunity and security of the automated data transmission system. To identify threats, a unified classifier and flow state estimation technique are used, which take into account the hybridity and synergy of targeted (mixed) attacks on communication channels. The critical points of the infrastructure elements, as well as the information that circulates and/or is stored, are determined. The assessment of compliance with the regulators’ requirements, both international and state regulatory acts, and the presence and ability of the security system elements to ensure the required level of infrastructure elements protection is taken into account. The proposed approach allows to determine: coefficients of information and internal availability of a wireless radio communication channel, the vector potential of the lagging magnetic field as a result of data transmission work. When evaluating the coefficient of a wireless radio communication channel internal availability, it is proposed to take into account coherent reception of the signal. At the same time, the immunity factor of the wireless radio communication channel is much higher than 1, which provides sufficient protection of information. A technical solution is proposed that will allow the level of confidentiality, integrity, authenticity and reliability of a wireless radio communication channel to approach 100 %The development of data transmission systems based on wireless radio communication channels allowed the construction of fundamentally new networks – mesh networks, which are used not only in smart technologies, but are the basis for the construction of cyber-physical and socio-cyber-physical systems (objects of critical infrastructure). The object is the process of ensuring reliable and secure data transmission based on the use of wireless radio communication channels. A mathematical model of information resources protection system functioning is proposed to ensure the signs of immunity and security of the automated data transmission system. To identify threats, a unified classifier and flow state estimation technique are used, which take into account the hybridity and synergy of targeted (mixed) attacks on communication channels. The critical points of the infrastructure elements, as well as the information that circulates and/or is stored, are determined. The assessment of compliance with the regulators’ requirements, both international and state regulatory acts, and the presence and ability of the security system elements to ensure the required level of infrastructure elements protection is taken into account. The proposed approach allows to determine: coefficients of information and internal availability of a wireless radio communication channel, the vector potential of the lagging magnetic field as a result of data transmission work. When evaluating the coefficient of a wireless radio communication channel internal availability, it is proposed to take into account coherent reception of the signal. At the same time, the immunity factor of the wireless radio communication channel is much higher than 1, which provides sufficient protection of information. A technical solution is proposed that will allow the level of confidentiality, integrity, authenticity and reliability of a wireless radio communication channel to approach 100 %

In Search of Beauty Formula

The main category of aesthetics — beauty is the focus of the study. Our epoch is a revision of some spiritual meanings both in the sphere of human life and in science and art. The aim of this paper is to derive a universal formula of beauty through the image of Venus on the basis of a comparative analysis of works of classical art, art of postmodernity, as well as to determine the possibilities of modern neural networks. Art of the 21st century is multifaceted, neuro-art is another of its aspects, artificial intelligence and Man of Art compete here. Neural network is a program built on the principle of organisation and functioning of nerve cells of a living organism. The neural network was tasked to represent the modern ideal of beauty in the image of Venus, similar to the way painters of previous epochs acted. Can modern neural networks create? Create spiritual values? Create beauty in art? In total, more than a thousand images were generated according to our requests, which allows us to draw certain conclusions about the representation of the image of Venus by artificial intelligence. An attempt to derive a formula of beauty for each period of art development and to find a universal one is presented. The modern understanding of beauty has absorbed all historical paradigms, but on a qualitative, essential level. Beauty is a subjective sensual perception of the appearance of an object that is capable of evoking positive emotions. It is not the beauty itself that is important, but the feeling of beauty. Beauty is the dominant value of being, which contains a harmonious combination of absolute values, what makes a person a Personality.

Safety: a proportionate approach in an uncertain application.

Fusion is inherently safer than fission due to the absence of nuclear chain reactions. However, operating fusion power plants will not be risk free. There will still be numerous hazards that will need careful management in order to safely build, operate and ultimately decommission a fusion power plant. Ensuring a robust safety demonstration that covers all radiological and non-radiological hazards is therefore vitally important for the future permissioning and consenting of fusion power plants. The safety case for the STEP prototype plant will be developed in line with a set of safety philosophies, safety functional requirements and design safety principles to ensure that the safety case production process is consistent and robust.This article is part of the theme issue 'Delivering Fusion Energy - The Spherical Tokamak for Energy Production (STEP)'.

Complex Dispersion Analysis of Flexural Wave Propagation in Periodic Track Structure

The periodic characteristics of the track structure have filtering characteristics for the propagation of vibration waves within it, and the dispersion analysis is of great significance to understand the vibration transmission characteristics of the track structure. The accuracy of the traditional virtual spring method depends on the value of spring stiffness, which leads to poor stability. Therefore, this paper adopts a null space method with both stability, accuracy and efficiency, and takes the CRTSIII ballastless track structure as the research object. Based on the null space method and energy functional variational principle, the damping factor and the material frequency variation effect are considered in detail, and the complex frequency dispersion of the CRTSIII ballastless track structure is analyzed. The accuracy of the proposed method is verified by comparing it with the results of the existing literature, and the influence of fastener stiffness frequency variation, fastener damping and concrete support layer damping on the complex dispersion characteristics of vibration waves of track structures is analyzed by using this method. The results show that the stiffness frequency effect, fastener damping and concrete support layer damping have a great influence on the attenuation domain and attenuation rate of vibration, which must be considered in the vibration transmission analysis of track structures.

Boundary problems of sequential fractional differential equations having a monomial coefficient

The article examines sequential fractional-order differential equations composed of monomial coefficients defined as nonlinear boundary problems. The original problem is converted into an integral equation in an equivalent form. The contraction mapping principle and Krasnoselskii's fixed-point theorem are implemented to obtain two existence conditions. The problem of Ulam-Hyers stability is also investigated. An illustration is presented to showcase practical application of the obtained results.

Clinical Applications of Cardiac Magnetic Resonance Parametric Mapping.

Cardiovascular magnetic resonance (CMR) imaging is widely regarded as the gold-standard technique for myocardial tissue characterization, allowing for the detection of structural abnormalities such as myocardial fatty replacement, myocardial edema, myocardial necrosis, and/or fibrosis. Historically, the identification of abnormal myocardial regions relied on variations in tissue signal intensity, often necessitating the use of exogenous contrast agents. However, over the past two decades, innovative parametric mapping techniques have emerged, enabling the direct quantitative assessment of tissue magnetic resonance (MR) properties on a voxel-by-voxel basis. These mapping techniques offer significant advantages by providing comprehensive and precise information that can be translated into color-coded maps, facilitating the identification of subtle or diffuse myocardial abnormalities. As unlikely conventional methods, these techniques do not require a substantial amount of structurally altered tissue to be visually identifiable as an area of abnormal signal intensity, eliminating the reliance on contrast agents. Moreover, these parametric mapping techniques, such as T1, T2, and T2* mapping, have transitioned from being primarily research tools to becoming valuable assets in the clinical diagnosis and risk stratification of various cardiac disorders. In this review, we aim to elucidate the underlying physical principles of CMR parametric mapping, explore its current clinical applications, address potential pitfalls, and outline future directions for research and development in this field.

Finite-time stability of fractional-order quaternion-valued memristive neural networks with time delay

This study addresses the finite-time stability (FTS) problem of fractional-order quaternion-valued memristive neural networks (FQMNNs) with time delay. Firstly, by leveraging set-valued mapping, differential inclusion, and contracting mapping principle, the sufficient condition is provided to assure the existence and uniqueness of the equilibrium point. Secondly, given the fractional order differential inequality and Gronwall inequality, a finite-time stability (FTS) criterion is obtained for the delayed FQMNNs with the fractional order between 0 and 1. Additionally, a sufficient condition is proposed to guarantee the FTS of FQMNNs with the fractional order between 1 and 2. Compared with existing results, this study not only extends the fractional order between 0 and 2, but also incorporates quaternions, which significantly enhances the FTS theory. Finally, two numerical examples demonstrate the practicality of the obtained results.