Heuristic Approach towards Demystifying Riemann Hypothesis in Laymans Language and It’s Implication on Robotics, Cryptography and Security

The Quest for finding this solution to millennium problem has its own unique history. Perhaps, the most under rated element about this conjecture is that it’s jargonising language to understand. The impacts which it lays on laymen’s life are immense. Often this conjecture is difficult to understand for majority of technical student also. It lays its foundation among the various branches of engineering such as applied maths, mechanical, E.C., computer and physics. Seeing its potential impacts, a heuristic approach is tried in this paper to demonstrate Riemann hypothesis in simplified form and unique way. Also, the impacts which can be brought by the solution of this problem in foreseen future are discussed. Keyword: 1. Riemann Hypothesis, 2. E.C., 3. Cryptography, 4. Physics, 5. Robotics, 6. Mechatronics, 7. Quantum mechanics

ЭТНОГРАФИЯ АБХАЗСКОГО РОДОВОГО КУЛЬТА: МОЛЕНИЕ АДЛЕЙБОВЫХ

На основе полевых этнографических материалов автора в работе исследуется один из многочисленных родовых культов абхазского народа– Анцәахаҵарa (Аncºaxaҫara)– важный институт традиционной религии. Культ присутствует в современной духовной жизни данников, правда, уже в упрощенной форме. Сложилась ситуация, когда господствующее в стране христианство, принятое народом в качестве официальной религии еще в самом начале раннего Средневековья, не является помехой для бытования автохтонной обрядовой культуры. В статье выявляются исторические корни Анцәахаҵараa, подробно описывается его ритуальная практика, интерпретируется основной круг действий, выполняемых в рамках отправления культа. Based on an ethnographic field study carried out by the author in various regions of Abkhazia, the article examines one of the many clan cults of the Abkhazians– Antsvakhatsara (Ancºaxaҫara)– which is an important institution of traditional religion. It still exists in the modern spiritual life of the worshipers, although in a somewhat simplified form. Christianity, the dominant confession in the country adopted as an official religion at the beginning of the early Middle Ages, does not preclude the autochthonous ritual culture. The article aims to identify the historical roots of the cult, describe its ritual practice in detail and interpret the main ritual actions.

Features of legal regulation of the institute inquiry in the legislation of Ukraine and foreign countries

Problem setting. This article examines the legal regulation of the institute of inquiry in Ukraine and abroad. It is concluded that the institution of inquiry in foreign countries is inherently different from the national form of pre-trial inquiry, but has some similarities. In particular, the differences are in the establishment of different terms of pre-trial investigation, the subjects of the criminal investigation procedure, the specifics of the use of additional evidence, the presence of a mandatory condition – a guilty plea to the suspect, the prosecutor’s participation in the proceedings. The author identifies common features and differences of the institute of inquiry in Ukraine and other countries, which in turn allows to identify ways to improve existing legislation. The purpose of the article is to compare the legal regulation of the institution of inquiry in the current criminal procedure legislation of Ukraine and similar pre-trial investigation procedures in France, Germany, Austria, the Czech Republic (here in after – the Czech Republic), the Republic of Poland (here in after – Poland), Great Britain, Belarus, Kazakhstan in order to identify positive features in order to improve it. Analysis of recent researches and publications. The scientific works of Ukrainian scientists: N. I. Brovka, S. I. Simakov, O. V. Kerevych, K. B. Kalinovsky, etc. are devoted to the study of various aspects of inquiry in foreign countries. However, due to the lack of thorough research on the comparative analysis of the legal regulation of the institution of inquiry, as a simplified form of pre-trial investigation, with other countries, there is a need for such an analysis and highlight the positive aspects. Articles main body. The institute of inquiry belongs to a simplified form of pre-trial investigation, which speeds up the trial in order to ensure greater efficiency of the criminal justice system and reduce costs. Thus, the investigated form of pre-trial investigation came into force on July 1, 2020 in criminal procedure legislation, in accordance with the Law of Ukraine “On Amendments to Certain Legislative Acts of Ukraine to Simplify Pre-trial Investigation of Certain Categories of Criminal Offenses” № 2617-VIII of 22.11.2018. The need for inquiry as a simplified form of criminal proceedings is due, in particular, to the heavy workload of investigators (for example, the National Police) in cases of minor crimes, which are now called criminal offenses. Inquiry is conducted during the investigation of criminal offenses, special subject – the connoisseu of the subdivisions of the inquiry or the authorized persons of other subdivisions; inquiry is carried out in a short time – 72 hours in case of notification to the person on suspicion of commission of a criminal offense. Additional sources of evidence in criminal proceedings on criminal offenses, in addition to general sources of evidence, are also explanations of persons, results of medical examination, expert opinion, testimony of technical devices and technical means that have the functions of photography and filming, video or photo and filming, video recording. The procedure of simplified investigation of minor criminal offenses operates successfully in many foreign countries, in particular in the French Republic, the Kingdom of Spain, Kazakhstan, Germany, Austria, the Republic of Belarus, the Czech Republic, Poland. The simplified procedure in Poland does not apply to: – accused persons deprived of liberty, except in cases of prior arrest to the perpetrator of certain types of crimes; – minors; deaf, dumb or blind; – in the presence of reasonable doubts about the sanity of the suspect; – if the person does not speak Polish. The bodies investigating cases under the simplified procedure are the police, as well as other bodies authorized to conduct investigations (Article 471). The total term of the simplified investigation is 1 month. Regarding the legal regulation of the institute of inquiry in Austria, it should be noted that the preliminary investigation is carried out only in the form of inquiry. Immediate investigative actions related to the identification of the perpetrator, as well as other circumstances, are conducted by the police before the initiation of a criminal case and end with the transfer of all materials to the prosecutor. At the same time, the body of inquiry is authorized to carry out any investigative and operative-search actions (which is unique in comparison with Ukraine). It should be noted that a comparative analysis of the criminal procedure legislation of foreign countries allows to state the existence of a tendency to improve the pre-trial investigation towards its simplification. In international activities in the field of simplification of criminal procedure, there is a direction to adhere to such forms of justice that would optimally take into account the gravity of the crime, the consequences that may occur as a result. It is as a result of such simplification of criminal proceedings that it is possible to ensure procedural savings of forces, time and resources of participants in criminal proceedings. Conclusions and prospects for further research. As for the overall impact of criminal offenses on the criminal justice system, it should be agreed that it is mostly positive. The system itself has become more humane as the number of detentions has decreased and the number of precautionary measures applied during the investigation has been minimal. This is one of Ukraine’s important commitments to the Council of Europe. The average length of a pre-trial investigation has accelerated by about half. This article will be useful for scholars studying the features of forms of pre-trial investigation, as it contains a comparative study of the institute of foreign inquiry and national criminal procedure law. Attention is also focused on some problematic issues related to the simplified form of pre-trial investigation. It can serve as a springboard for scientists to further research the institute of inquiry.

ON THE SIMPLIFIED FORM OF PROPERTY RIGHT TRANSFER BETWEEN CLOSE RELATIVES

The article discusses the concept of close kinship and gives its definitions, taking into account different branches of law and the norms of the Family, Civil, and Tax Codes of the Russian Federation. Possible options for acquiring property rights and transferring them to close relatives are determined by means known to the legislator. It is proposed to search for new options for transferring property from parents to children.

Yoga and Wellness—Key Insights from the Study on General Yoga Programme

Human beings have always strived towards excellence and progress since time immemorial. Industrialisation, automation and technological disruptions have led to increased comfort and quality of living of human beings and enhanced output, productivity and efficiency. Consequently, of late, health and wellness are receiving increased attention globally. Stress and stress-related diseases and workplace-related ailments have significantly increased over the last few decades and gained attention from society and industrial organisations. In the recent past, in the coronavirus pandemic context, wellness has been focused upon in many countries, communities and organisations worldwide. Yoga has been part of the Indian ethos for centuries. In this article, the authors discuss the General Yoga Programme (GYP), its broad coverage, and the impact it has had on the participants in terms of their wellness. With the help of a survey of the participants and linking it to relevant literature and research in the field, the authors highlight how GYP is a useful tool for enhancing various wellness dimensions. They recommend that GYP in its simplified form can be extended to the workplace; and also, HR professionals can play a facilitative role in the process.

Demonstration of Limit States Design Method for Assessment of Corrosion and Crack Features

A reliability-based limit states design (LSD) method for assessment of corrosion and crack features has been developed for onshore transmission pipelines as part of a joint industry project. The rule-based LSD approach is a simplified form of the reliability-based approach that reduces the latter to a set of deterministic checks. The LSD corrosion assessment method and a comparison of its performance against one operator’s reliability approach were published in previous IPC papers [1,3]. This paper compares the LSD corrosion and crack assessment methods to another simplified reliability-based approach, namely the Pipeline Integrity Reliability Analysis (PIRA) Level I, that was published in a previous IPC paper [2]. The PIRA model is staged into three levels, where Level I analysis is a simplified form of the reliability-based approach where the probability of failures of predefined features’ sizes are precalculated using conservative assumptions for a fast turnaround screening analysis of the entire pipeline system in order to identify areas requiring more in-depth full probabilistic Level II or III analyses. This paper describes the application of both LSD and Level I methods on two low vapour pressure (LVP) liquid pipelines and provides a comparison of the results. The comparative analysis was based on the number of features not meeting reliability targets in both methods and, thus, are eligible for repair according to each method. Out of the two pipelines considered, one has corrosion and the other has cracks as the dominant threat. The results show that there are noticeable differences between the outputs of the two methods. The root cause of these differences was investigated by conducting a sensitivity analysis on the input parameters, including: reliability target, wall thickness distribution, feature depth and length distributions, pipeline sectioning procedure and the usage of model error (which is used in the LSD method but not in the PIRA Level I method). For cracks, differences between the Modified Ln-Secant model used in the LSD method and the CorLAS model used in PIRA Level I were also considered. It was observed that the discrepancies in the required repairs resulting from the two methods can be mostly attributed to the feature depth distribution, wall thickness distribution and the reliability target. For cracks, the burst pressure model selection also had a significant impact on the results.

The Interrogation of the Accused in a Criminal Case in a Special Manner

The article discusses the possibilities of conducting an interrogation when considering a criminal case in a special judicial proceeding. Currently, the law does not indicate the possibility of conducting an interrogation of the defendant when considering his case in a special manner. In fact, the judges considering the case, as a rule, interrogate the defendants, without touching upon the actual circumstances of the case, ask specific questions to eliminate all doubts and obstacles to the application of this simplified form of criminal proceedings. This practice does not seem vicious, it follows the correct path of procedural logic, smoothing out the flaws of the legislator. The author comes to the conclusion that it is necessary to establish the possibility of revealing the factual circumstances of the case during the interrogation of the defendant in the same way as provided for in part 3.1 of Art. 317.7 of the Code of Criminal Procedure when considering in a special manner a criminal case with a pre-trial agreement on cooperation. The parties to the trial should be empowered with the permission of the presiding judge to ask the defendant questions. Interrogation during a criminal case in a special manner will more likely ensure the rights of persons with physical or mental disabilities, significantly reducing their ability to independently exercise their rights and defend their legitimate interests, as well as persons who do not speak the language of the proceedings. During the interrogation, the court can be convinced not only of the absence of self-incrimination, but also that the person speaks the language of the proceedings, is aware of what he has done as a crime, etc. The interrogation of the defendant could eliminate the judge's doubts in cases where the accused is at the preliminary investigation stage denied guilty of a crime. A sharp change in the position of the accused may indicate the compulsion of the petition for consideration of the case in a special manner due to threats, persuasion and other illegal actions. Faced with this situation, the court must carefully evaluate all the circumstances of the case. Legislative consolidation of the possibility of conducting an interrogation of a defendant during a criminal case in a special order will allow to more fully ensure the rights and legitimate interests of a given participant in the process, as well as create additional guarantees for a reasonable and fair decision in this case.

OPTIMIZATION OF THE FLOOR STRUCTURE OF AN INDUSTRIAL BUILDING

When determining the design of the floor, choosing materials and technology of its device, it is advisable to apply a systematic approach that takes into account its stress-strain state. The physical model of the floor of an industrial building in a simplified form is represented as a two-layer slab on an elastic base. The physical model of the floor of an industrial building in a simplified form is represented as a two-layer slab on an elastic base. The deformation of the ground base is inherent in the stress-strain state of the structure, which is manifested through geometric and mechanical characteristics, boundary conditions., glass fiber concrete is proposed as a coating material. It provides the compressive strength inherent in concrete and a proper crack resistance. The mathematical model is based on the S. Germain equation and the Winkler dependence. When solving the optimization problem in a linear elastic formulation, the criterion of the minimum potential energy of deformation is used, which leads to a minimum of material consumption. Its effectiveness is confirmed by comparing the results on a variational basis with the analysis of the regression equation. The modulus of longitudinal elasticity and the thickness of the layer are accepted as variable parameters. The calculation procedure uses a finite-difference analog of the mathematical model. A two-factor experiment is conducted to complete the study, the results of which are in good agreement with the theoretical calculations performed.