Proper Basis Research Articles

Master integrals for two-loop QCD corrections to quark quasi PDFs

We compute the master integrals for the two-loop QCD corrections to quark quasi parton distribution functions (PDFs) in the large momentum effective theory (LaMET). With a proper canonical basis, we derive the analytical results for the three families of master integrals using the method of differential equations. The final expressions for the master integrals are given in terms of Goncharov polylogarithms. These results allow us to extract the two-loop short-distant matching coefficients between quark quasi and lightcone PDFs in LaMET, and are valuable to improve the determination of the nucleon PDFs from first principles in future.

Blockchain in Healthcare: Insights on COVID-19.

The SARS-CoV2 pandemic has impacted risk management globally. Blockchain has been increasingly applied to healthcare management, as a strategic tool to strengthen operative protocols and to create the proper basis for an efficient and effective evidence-based decisional process. We aim to validate blockchain in healthcare, and to suggest a trace-route for a COVID19-safe clinical practice. The use of blockchain in combination with artificial intelligence systems allows the creation of a generalizable predictive system that could contribute to the containment of pandemic risk on national territory. A SWOT analysis of the adoption of a blockchain-based prediction model in healthcare and SARS-CoV-2 infection has been carried out to underline opportunities and limits to its adoption. Blockchain could play a strategic role in future digital healthcare: specifically, it may work to improve COVID19-safe clinical practice. The main concepts, and particularly those related to clinical workflow, obtainable from different blockchain-based models have been reported here and critically discussed.

Podstawa traktatowa przyjmowania aktów prawa pochodnego z dziedziny środowiska i energii w prawie UE

Despite the considerable volume of the Court of Justice of the European Union (CJEU) case-law on Treaty basis for secondary legislation, the claim that any doubts concerning the choice of the Treaty basis for secondary legislation in the area of environment and energy in the EU law have been clarified is incorrect. On several occasions, the choice of the proper legal basis for such a legal act gave rise to serious doubts. It was unclear whether the subject matter of the act determined the application of Article 192(1) TFEU (ordinary legislative procedure) or Article 192(2), first paragraph of the TFEU (special legislative procedure).
 The aim of this article is to analyse the control criteria for the check of the Treaty basis for secondary legislation in the area of environment and energy conducted by the CJEU. This issue is considered in a broader context of the Treaty provisions, practice and the CJEU case law. The utmost attention is given to the judgement of the Court of Justice of the European Union issued on 21 June 2018 in the case C-5/16, Republic of Poland v European Parliament and Council of the European Union, where the Court dismissed the action for annulment of the Decision (EU) 2015/1814 of the European Parliament and of the Council of 6 October 2015 concerning the establishment and operation of a market stability reserve for the Union greenhouse gas emission trading scheme and amending Directive 2003/87/EC.
 The Author of the article comes to the conclusion that the Court, when reviewing the choice of the Treaty basis for a legal act, considers mainly its purpose and content, while the likely impact is of secondary importance. According to the Author, the judgement of the Court in the case C-5/16, Republic of Poland v European Parliament and Council of the European Union is likely to impede the application of Article 192(2)(c) TFEU (special legislative procedure) as a proper legal basis for legal acts in the area of environment which may affect a Member State’s energy mix.

Randomized Algorithms for Non-Intrusive Parametric Reduced Order Modeling

This paper demonstrates the development of purely data-driven, nonintrusive parametric reduced-order models for the emulation of high-dimensional field outputs using randomized linear algebra techniques. Typically, low-dimensional representations are built using the proper orthogonal decomposition combined with interpolation/regression in the latent space via supervised learning. However, even moderately large simulations can lead to data sets on which the cost of computing the proper orthogonal decomposition becomes intractable due to storage and computational complexity of the numerical procedure. In an attempt to reduce the offline cost, the proposed method demonstrates the application of randomized singular value decomposition and sketching-based randomized singular value decomposition to compute the proper orthogonal decomposition basis. The predictive capability of reduced-order models resulting from regular singular value decomposition and randomized/sketching-based algorithms are compared with each other to ensure that the decrease in computational cost does not result in a loss in accuracy. Demonstrations on canonical and practical fluid flow problems show that the reduced-order models constructed using randomized methods are competitive in their predictive accuracy with reduced-order models that employ the conventional deterministic method. Through this new method, it is expected that truly large-scale parametric reduced-order models can be constructed under a significantly limited computational resource budget.

Multiscale Analysis of Rhythmic Processes with Time-Varying Characteristics

The problem of diagnostics of structural variations in nonstationary processes is considered in the case of a degree of nonstationarity that is dependent on the frequency range. Multiscale analysis of experimental data on rhythmic processes with time-varying characteristics is carried out by the example of sleep slow wave dynamics. Possibility of improving the quality of diagnostics by selecting proper wavelet basis set functions is discussed.

Analytical expression of RKPM shape functions

In this paper, we derive an analytical expression for reproducing kernel particle method (RKPM) shape functions. Based on this, we propose a necessary and sufficient stability condition for general RKPM in arbitrary function space, and illustrate with degenerate cases. By selecting proper basis vectors and the support of the kernel functions, we demonstrate that the RKPM framework allows generating many kinds of shape functions, including the Lagrangian, B-spline and NURBS shape functions.

Vacuum Structure in the Standard Model with a Complex Scalar Singlet

We analyze the vacuum structure in an extension of the Standard Model with a complex singlet scalar field. Beyond the Standard Model, this model shows a much richer vacuum structure and a variety of interesting mass spectra. In this paper, we first show that the Higgs mass matrix can be simplified using the proper basis, and it can comprehensively reflect the change in the tadpole conditions due to the soft symmetry-breaking terms. Thus, this framework makes it easy to obtain a mass matrix through the corresponding tadpole conditions when considering new symmetry such as $\mathbb{Z}^\prime_2$. Finally, we introduce the Higgs potential for the trilinear and quartic Higgs self couplings, and summarize the vacuum structure taking into account all possible cases with a corresponding set of inputs and miscellaneous relations.

До питання нормативних приписів процедурного характеру в податковому праві

Оподаткування відіграє надзвичайно важливу роль у забезпеченні організаційно-правової та економічної основи держави та функціонування локальних спіль-нот територіальних громад. Незважаючи на те, що податки в різних державах світу відрізняються за ха-рактером конструювання окремих елементів їхнього правового механізму, незмінним залишається їхнє цільове призначення – формування належних і ста-більних основ для функціонування окремих територі-альних колективів, індивідуалізовані суб’єкти яких і є платниками відповідних муніципальних майнових податків. Забезпечення належного функціонуван-ня податків багато в чому залежить від послідовності законодавця в конструюванні юридичних процедур. Незважаючи на велику кількість праць, присвячених дослідженню різних аспектів природи податково-пра-вової процедури, необхідно констатувати, що в юри-дичній літературі так і не сформовано усталеної, повно-цінної дефініції цього поняття.Метою статті є огляд й упорядкування у правовій доктрині напрямів і підходів до означення та характер-них рис поняття «правова процедура», висвітлення сут-ності поняття «податкова процедура» для вироблення цілісного уявлення щодо такої категорії, а також викла-дення власного бачення щодо її необхідності для забез-печення оптимального функціонування оподаткуван-ня. У статті розглянуто поняття та іманентні ознаки юридичної процедури в розрізі правової науки та те-орії держави і права, визначено значення юридичних процедур для забезпечення реалізації принципу пра-вової визначеності, запропоновано визначення подат-ково-процедурної норми та обґрунтовано її значення для впорядкування податкових правовідносин.Встановлено, що відсутність процедурного регулю-вання може поставити під сумнів можливість вчинен-ня представниками податкових органів відповідних дій. Це пояснюється тим, що через відсутність регла-ментаційних норм орган публічної влади вимушений вигадувати алгоритм власної діяльності, виходячи за межі формалізовано визначеного поля, а тому існує ризик зумовити цим нелегітимність таких дій.

Democracy, Religion & Public Reason

A convention of democracy is that government should promote the common good. Citizens' common good is based in their shared civil interests, including security of themselves and their possessions, equal basic liberties, diverse opportunities, and an adequate social minimum. Citizens' civil interests ground what John Rawls calls “the political values of justice and public reason.” These political values determine the political legitimacy of laws and the political constitution, and provide the proper bases for voting, public discussion, and political justification. These political values similarly provide the terms to properly understand the separation of church and state, freedom of conscience, and free exercise of religion. It is not a proper role of government to promote religious doctrines or practices, or to enforce moral requirements of religion. For government to enforce or even endorse the imperatives or ends of religion violates individuals' freedom and equality: it encroaches upon their liberty of conscience and freedom to pursue their conceptions of the good; impairs their equal civic status; and undermines their equal political rights as free and equal citizens.

Співробітництво з AEG у 1925–1928 рр. як перша форма науково-технічних запозичень в електромашинобудуванні Української СРР

Scientific-technical borrowings are one of those types of scientific support for the work of industrial sectors, whose role in the conditions of exiting the crisis to acquiring the particular importance. Since the mid-1920s, they have become the main how of scientific support for the organization of the development of Ukrainian electric machine-building industry in the context of large-scale electrification of the country. That was due to the need for a quick withdrawal of this industry from the previous crisis in the absence in the Ukrainian SSR of its own scientific support system for the electric machine engineering. The first form of scientific-technical borrowings for the republican segment of the Soviet Union profile industry was the agreement between the State Electrotechnical Trust and the German electrotechnical company Allgemeine Elektricitäts Gesellschaft on scientific-technical cooperation. The main objective of this act was to achieve at the lowest possible financial cost the fastest possible increase in productivity of the Kharkiv Electromechanical Plant. To do this, it was supposed using the American technologies for the production of electrical machines but implemented them on German technological equipment. Allgemeine Elektricitäts Gesellschaft was the company that already made such it at the beginning of the twentieth century using the technologies of the General Electric Company. Moreover, in the pre-Soviet period, it made an attempt to hold a similar act at the Kharkiv Electromechanical Plant, which it owned in this time; however it ended in failure due to the revolutionary upheavals that began in Ukraine. Thus, the agreement concluded with the German company was a continuation of the same actions, what itself had begun, but, already in new historical realities. That is, the Allgemeine Elektricitäts Gesellschaft actions were copied by the Soviet government, however, adapted to the Soviet way of organizing industrial production. Despite the fundamental difference between the latter and the working conditions of the Allgemeine Elektricitäts Gesellschaft in Germany, the concentration of the parties precisely on the scientific and technical component of the project made it possible to achieve the expected result in full. However, at the same time, Ukrainian electric machine builders focused specifically on the speed of duplication of scientific-technical knowledge missed the opportunity to study the methodology for obtaining them. This became the reason that these scientific-technical borrowings did not become the proper basis for the formation of the scientific component of the scientific-technical potential of the domestic electric machine-building industry.

Application of Principal Component Analysis to Establish a Proper Basis for Flow Studies in Heavy-Ion Collisions

It is shown that Principal Component Analysis (PCA) applied to event-by-event single-particle distributions in A-A collisions allows establishing the most optimal basis for anisotropic flow studies from data itself, in contrast to manual selection of the basis functions. PCA coefficients for azimuthal particle distributions are identical to Fourier coefficients from a conventional analysis techniques. PCA applied in longitudinal dimension reveals optimal basis that is similar to Legendre polynomial series. Analysis in both dimensions simultaneously allows studying the coupling of the longitudinal structure of events with the azimuthal anisotropy of particle emission.

COORDINATION FUNCTION OF THE STATE AT THE STAGE OF UKRAINIAN REVOLUTIONS OF 1917-1921

The article is devoted to the study of the formation of the coordination function of the state at the stage of the Ukrainian revolution of 1917-1921. During this time, the Central Rada and the last Hetman of Ukraine Pavlo Skoropadskyi managed to prove themselves the most in the field of state building. The author's attention is focused on their role in the formation of the coordination function of the state in Ukraine. It was found that from the point of view of formation and reform of the state mechanism (including the coordination function of the state), the Ukrainian revolution of 1917-1921 conditionally includes two periods: the period of the Central Rada and the period of Hetman P. Skoropadsky. In the context of state formation, the period of the Central Rada was marked, first of all, by the adoption of the four Universals and the proclamation of the Ukrainian People's Republic. During the activity of P. Skoropadsky's government in Ukraine the relations of the state with citizens were settled for the first time (by passing the law on citizenship), the process of formation of the institute of civil service was started. The author argues that from the point of view of forming the coordination function of the state, it is inappropriate to distinguish between the periods of the Central Rada and the Hetmanate of Pavel Skoropadsky. The characteristic features of the period of the Ukrainian revolution of 1917-1921 as a stage of development of administrative and legal regulation of the coordination function of the state are singled out, which include: Ukrainization of elements of the state apparatus; lack of clear demarcation of these elements; uncertainty of coordination objects; lack of proper administrative and legal basis for the coordination function of the state, it whas the declarative of plans for its creation. It is concluded that the conclusion that it is not expedient to distinguish the periods of the Central Rada and the Hetmanate of Pavlo Skoropadsky as separate stages of development of administrative and legal regulation of the coordination function of the state. During this period, the state was actively reformed, however, perhaps due to its short duration, and perhaps for other objective and subjective reasons, no cardinal achievements in the context of the coordination function of the state were observed. Moreover, the stage of the Ukrainian State is characterized by the same problems as the period of the Ukrainian People's Republic.

COMPARATIVE ANALYSIS OF INSURANCE IN UKRAINE

The relevance of the article is that bringing Ukrainian legislation in line with the insurance legislation of the European Union is one of the priority areas in the economy of Ukraine. The process of adaptation is a complex process given the large volume of regulations. The analysis of the comparative insurance process is the initial stage for determining the methods for implementing the norms of international cooperation at the domestic level. Insurance during the crisis (covid-19) and other negative political and economic events, the decline in the material well-being of the population has created a problem of significant reduction in consumer demand for insurance services. The problem of supporting consumer demand and the competitiveness of insurance companies is especially relevant today. The article provides a comparative comparative analysis of Ukrainian insurance legislation, the purpose of which is to identify regulatory relationships based on a comparison of national legislation and international regulations of one or different historical periods. It is concluded that significant differences in the parameters and proportions of the domestic market in accordance with the standards of the European insurance market indicate that on the path to European integration our country faces complex long-term challenges for the development of the domestic insurance system. In the EU there are unified methods and forms of state regulation of insurance activities, which are established by the relevant directives of the European Union on insurance. In this regard, the strategic perspective of Ukraine's insurance system development should be based on European standards, in particular, it is necessary to improve the work of the regulator, the legal framework, life insurance and health insurance, accident compensation limits, etc. Therefore, in order to create a proper basis for further development of the insurance market, increase its reliability, the regulatory framework should be based on clear, understandable and modern principles that will ensure proper performance of the functions assigned to them by insurers.

The Binding Force of the Nuclear Disarmament Obligation upon North Korea and Its Legal Implication under International Law

Article VI of the 1968 Nuclear Non-Proliferation Treaty (NPT) requires all state parties to disarm nuclear weapon. Following its official withdrawal from NPT in 2003, North Korea maintains to develop its nuclear weapon and conducts several nuclear tests. Moreover, it even proudly declared as a nuclear state in its Constitution's preamble. It also argues that the nuclear weapon developments and tests were conducted within their territory and, currently, North Korea is not bound by any treaty prohibiting such developments and tests. The statement is strongly opposed by the international community, particularly their neighboring states: Japan and South Korea. This article argues that the obligation to disarm nuclear weapon deriving from the NPT still binds North Korea since such obligation has reached the status of customary international law and consequently binds every state unless such state persistently objects the rule from the beginning of its formation. In this case, North Korea has failed to prove itself as a persistent objector due to the fact it used to be a party to the NPT. This article also argues that, according to 2001 ILC Articles, Japan and South Korea still have a proper legal basis to claim for reparation against North Korea despite the fact that they are not specifically affected by North Korea’s conducts.

Moment Capacity Ratio at Column – Beam Joint in a RC Framed Structure

Beam-column joint is the gap in the modern ductile design of building. Especially under the earthquake loading this is more susceptible to damage. Due to brittle nature of failure this type of failure cannot be afford. Since 1970’s this areas is under the light of research, but with the paper of Park and Paul, It got momentum. But still due to versatile nature of the joints core behaviour, the problem is still persisting. Though many international codes recommend the moment capacity ratio at beam column joint to be more than one, There are discrepancies among the major international codes with regard to MCR. Indian standard codes for design of RC framed buildings are silent on this aspect. Draft 13920 (2014) code suggests a value of MCR similar to other international codes without proper theoretical basis. Hence a rational study is required on the values of MCR. A computationally attractive procedure for calculating flexural capacity of column developed for determining MCR at a beam-column joint. To reach at an appropriate and acceptable MCR for capacity design of RC framed building reliability based approach is done. This research deals with the fragility and reliability analysis of five, seven and ten storey RC frames designed using various values of MCR ranging from 1.0 to 3.2. The RC frames are designed as per IS 1893 (2002) for all seismic zones. Hazard curves required of various seismic location in India (like zone II, III, IV and V) has been selected from National Disaster Management Authority, Government of India. Seismic risk assessment of all the designed buildings is conducted and based on the achieved Reliability Index and the Target Reliability Index minimum value of Moment Capacity Ratio (MCR) is suggested.

Combining Mobile Crowdsensing and Ecological Momentary Assessments in the Healthcare Domain.

The increasing prevalence of smart mobile devices (e.g., smartphones) enables the combined use of mobile crowdsensing (MCS) and ecological momentary assessments (EMA) in the healthcare domain. By correlating qualitative longitudinal and ecologically valid EMA assessment data sets with sensor measurements in mobile apps, new valuable insights about patients (e.g., humans who suffer from chronic diseases) can be gained. However, there are numerous conceptual, architectural and technical, as well as legal challenges when implementing a respective software solution. Therefore, the work at hand (1) identifies these challenges, (2) derives respective recommendations, and (3) proposes a reference architecture for a MCS-EMA-platform addressing the defined recommendations. The required insights to propose the reference architecture were gained in several large-scale mHealth crowdsensing studies running for many years and different healthcare questions. To mention only two examples, we are running crowdsensing studies on questions for the tinnitus chronic disorder or psychological stress. We consider the proposed reference architecture and the identified challenges and recommendations as a contribution in two respects. First, they enable other researchers to align our practical studies with a baseline setting that can satisfy the variously revealed insights. Second, they are a proper basis to better compare data that was gathered using MCS and EMA. In addition, the combined use of MCS and EMA increasingly requires suitable architectures and associated digital solutions for the healthcare domain.

RESULTS OF SOCIOLOGICAL STUDY OF ECONOMIC FACTORS OF EFFECTIVENESS OF VICTIMOLOGICAL PREVENTION OF SECURITY OF LIVING ENVIRONMENT

One of the criminological science dogmas is that prophylaxis and prevention of offenses are made at three levels: general social (in society as a whole), special (in relation to certain types (groups) of offenses) and individual (with a specific offender). Some scientists allocate the fourth level of prophylaxis and prevention of an offense into regional or sectoral ones. Some scholars call these levels somewhat differently, but their content is approximately the same, and, most importantly, they all aim to create a sense of security of each of us from violations of norms of laws, morals, traditions, etc. Of course, the scientific provision of crime prevention is impossible without a proper economic basis. The complexity of such studies is that since the end of 2013 and till now the development of Ukraine was marked by the acute problem of ensuring security in the full sense of the word and the leveling of the single person’s safety. We hope that making a sociological study of the economic factors of the effectiveness of victimological prevention of the living environment from a human position may be a part of the general return to the state development vector of a person with its rights, freedoms and responsibilities.

Adaptive filtering enhanced windowed correlated kurtosis for multiple faults diagnosis of locomotive bearings

Compound faults diagnosis of locomotive bearings are still a challenge especially when the multi-fault impulses share the common resonant frequency. In this paper, an adaptive filtering enhanced windowed correlated kurtosis (WCK) method is proposed to isolate and identify each fault mode. A concept termed flexible analytical wavelet transform (FAWT) spectrum is defined to construct proper FAWT basis such that high signal-to-noise (SNR) is obtained in the filtered signal. Further, WCK is applied on the denoised signals to successively isolate each fault mode and determine the defects number. The performance of the proposed method is validated via analyzing experiment measurements from the locomotive bearings subjected to two local roller defects and three local outer race damages.

Evidentialism as an Historical Theory

ABSTRACT According to time-slice epistemology, what attitudes you should have at a time supervenes on features of you—like your evidence or mental states—at that time. Evidentialism is commonly assumed to be an instance of time-slice epistemology. I argue that if an influential argument against time-slice epistemology—that responding to evidence takes time—is sound, evidentialism is not an instance of time-slice epistemology. Therefore, evidentialism survives that argument even if time-slice epistemology doesn’t. Evidentialists must say that your evidence at a time is what can serve as a proper basis of your attitudes at that time. Therefore, if it takes time to properly base attitudes on your evidence, your evidence must predate your attitudes, in which case evidentialism is not an instance of time-slice epistemology. This doesn’t violate evidentialism’s internalist spirit, because if proper basing takes time, internalism itself is committed to the denial of time-slice epistemology. Contra some arguments from Brian Hedden and Andrew Moon, neither internalism nor evidentialism entails time-slice epistemology. If time-slice epistemology is false because proper basing takes time, then anything that internalists or evidentialists say justifies your attitudes must predate those attitudes.

ФОРМУВАННЯ ТА РОЗВИТОК ПЕДАГОГІЧНОЇ КОМПЕТЕНТНОСТІ У СТУДЕНТІВ МЕДИЧНИХ ЗАКЛАДІВ ВИЩОЇ ОСВІТИ З ВИКОРИСТАННЯМ ІННОВАЦІЙНИХ ТЕХНОЛОГІЙ

The article defines the essence of the concept of pedagogical competence of family doctors taking into account the peculiarities of their professional activity. It also offers the use of innovative technologies within the context of pedagogical training of medical workers. According to the author, the current problems of vocational education and daily activities of the specialists of this field are connected with pedagogical training of family doctors in institutions of higher medical education. The social value of the family doctors’ work, the complexity and multidimensionality of their professional responsibilities require not only a high level of professional training, basic knowledge of the theory and practice of medicine, mastering the skills, tactics, appropriate methods and techniques of medical activity, but also provide for the mastery of pedagogical knowledge, abilities and skills. The pedagogical competence of a general practitioner or a family medicine doctor includes personal and activity-related characteristics, socially and professionally important qualities of a health worker, that express his or her knowledge, abilities, skills and being able to apply them in the treatment and prevention process. These are the components of pedagogical competence of a family doctor: the professionally directed concept “I am a medical educator”, which should manifest itself directly in professional activity, communicative interaction, in the system of self-development and self-improvement of a personality; informational and instrumental readiness for activities, that imply possession of professional-medical and psychological-pedagogical knowledge and skills necessary for the quality performance of therapeutic and preventive activities; professional-active consciousness, which is based on the system of values of a person and oriented on its development and awareness of ethical norms of pedagogical activity. The traditional model of the family doctors’ training, unfortunately, does not provide for the filling of curricula and programs with pedagogical content. The need for the proper scientific basis for appropriate methodological approaches to the gradual formation and development of pedagogical competence of medical students and effective innovative technologies (interactive, game, problem and context training, information and communication) is obvious. Thus, based on the analysis of the professional functions of family doctors in the context of their social-educational activity, the issue of pedagogical training of students of medical universities is being actualized.