bluuebunny/crossref_metadata_2025 huggingface dataset:
Political and Legal Nature of Sanctions Restrictions in The Field of Publication Activity of Russian Scientists
Authors: Vasilev Anton , Pechatnova Yulia
Published: January 2024

This article is devoted to the study of theoretical and legal ideas about scientific sanctions and their political and legal nature, as well as an analysis of their impact on the publication activity of Russian scientists in foreign publications.

In modern conditions of geopolitical and geo-economic turbulence, sanctions policy has a restraining effect on the development of scientific and technological potential. In this connection, the purpose of the study is to conceptually generalize the legal nature of scientific sanctions, identify existing barriers to international scientific and technical cooperation and find ways to overcome them.

Sanctions policy is represented by various forms of generating difficulties in the sphere of participation of certain states in international network collaborations and established forms of cooperation. The legal basis of sanctions policy is the unilateral termination of contractual relations, which causes damage not only to the state against which sanctions are imposed, but also to the state that imposes sanctions.

As a way to respond to sanctions challenges in the field of scientific and technological development, the dynamic development and implementation of innovative measures to support the national scientific and scientific-technical sector is proposed.

As measures to increase the publication activity of Russian scientists in foreign publications, it is seen, first of all, the need to form and implement a special state policy as an integral part of the state scientific and technical policy in the field of international cooperation, since its development in these conditions cannot be limited only to the initiatives of scientific subjects and scientific and technical activities. In particular, it seems possible to change the geographical directions of international scientific and technical cooperation. This also involves encouraging friendly countries to harmonize foreign and domestic policies in the field of science, technology and innovation, as well as to harmonize national legislation and improve the functioning of organizational and legal mechanisms of cooperation.
Classification of Typical Tasks of Forensic Linguistics
Authors: Novozhilova Elena
Published: January 2024

The main problem in forensic linguistic theory is the lack of an agreeable classification of expert tasks. Since the concept of expert task precedes concepts of method and methodology, it is clear that without regularizing tasks, further theoretical understanding of this subject area is impossible.

The purpose of our article is a theoretical revision of this topic. Definitions of the term "expert task" are specified, and bases for classifying tasks common to all kinds and types of forensic examination are listed. We've checked classification options found in modern methodological and teaching publications on forensic linguistics in Russian ("Semantic Research in Forensic Linguistic Expertise" by RFCFS of the Russian Ministry of Justice, textbook by prof. Elena Galyashina, manual by ECC of the Russian Ministry of Internal Affairs). We've evaluated their logical correctness and compliance with the criminalistic and philological scientific basis. The conclusion is made about the suitability of some and unsuitability of other options: it is better to use the classification proposed by ECC of the Russian Ministry of Internal Affairs (tasks on denotative, evaluative, illocutionary, and extralinguistic components of a speech object). We've also concluded that it is unproductive to classify forensic linguistic tasks on a substantive law basis (tasks in cases of extremism, cases of libel, cases of corruption crimes, etc.). Such an understanding of expert tasks leads to systematic work outside of expert competence, in the field of law: an expert linguist plays the role of a competent investigation officer.
Linguistic Means of Expressing Evaluation in J. Grisham’s Novel “Rogue Lawyer”
Authors: Degtyaryova Ekaterina
Published: January 2024

Linguistics actively discusses the content of the notion of evaluation as a language category. The given article aims at analyzing linguistic means of expressing evaluation in John Grisham’s novel “Rogue Lawyer”. The analysis was carried out with the help of the following methods of research: continuous sampling method, textual analysis of the selected means of evaluation, statistical data processing. The article deals with lexical and syntactic means of evaluation. The evaluation in most cases has a “minus sign”. The article contains examples of lexical means of evaluation, such as pejoratives, melioratives, idioms, modal words. It also deals with stylistic devices providing evaluation: metaphor, simile, irony, allusion. The paper analyses the syntactic means used by the author to express evaluation: rhetorical questions, exclamatory sentences, parallel constructions, repetition.  The research shows that with the help of the linguistic means of evaluation the author manages to create the negative image of most representatives of the judicial system and demonstrate his attitude towards the system of justice in his country.
Criminalistic Characteristics of Crimes: Terminological Aspect
Authors: Neymark Maria , Bespechniy Oleg
Published: January 2024

The article concentrates on the criminalistic characteristics of crimes as one of the key concepts of the criminalistic methodology of crime investigation from the point of view of the terminology used to designate it and its correspondence to the content of the concept. The article considers the evolution of views and approaches that have developed in science regarding the role of criminalistic characteristics of crimes in the structure of newly devised private methods, its content and structure. At the same time the article notes both substantial aspects of the criminalistic characteristics of crimes admitted by most scientists, and aspects that cause dispute. The analysis of the structure of the criminalistic characteristics of crimes and the main approaches developed on this issue in legal literature is carried out. The main elements proposed for inclusion into the structure of the forensic characteristics are considered and evaluated. Attention is focused on the need for further research on the issues of criminalistic characteristics of crimes and the possible development areas are proposed. One of such development areas is devising uniform criteria for building the structure of the criminalistic characteristics of crimes. In this connection, the article provides an overview of the author positions existing in this regard in forensic literature, where elements of the corpus delicti, circumstances to be proved in a criminal case, etc. are seen as a criterion. The reasons for the significant divergence of the positions of scientists towards the content and structure of the criminalistic characteristics of crimes are analyzed. One of the main reasons is different understanding by the authors of the essence and role of the criminalistic characteristics of crimes in the structure of the investigation methodology conditioned among other things by the employed terminology – "criminalistic characteristics of crimes", which does not accurately reflect the essence of the designated concept. In this connection, the analysis of the terminology with regard to etymology has been carried out and proposals for its further application in forensic methodology have been formed.
On Cognitive Bias in the Legal Norm Interpretation in Relation to Linguistic Expertise
Authors: Arkaeva Kristina
Published: January 2024

In the modern rule-making process conduction of several types of expertise is one of the significant and sometimes even mandatory stages of work on a draft law. In the subject of the Russian Federation, a city of federal significance – Sevastopol there is legal, anti-corruption, linguistic and legal-technical expertise carried out. Although the tasks assigned to legal experts and linguists are outlined both in the methodological recommendations of federal authorities and in the scientific-applied discourse, in practice the boundaries of these tasks are blurred. This article focuses on some theoretical and applied questions of linguistic expertise, the case study under discussion demonstrates the interrelation of linguistic expertise with other spheres of expertise and academic work; attention is drawn to the discussion on the boundaries of linguist’s competence and the tasks assigned to the subjects of linguistic expertise. The case-study of the legal norm of the Low of Sevastopol City 98-ZS, dated 26 Dec. 2014, «On some social support measures for multi-child families in Sevastopol» discusses a non-routine problem of the rule of law structure fault that causes cognitive bias in its interpretation. The conclusion summarizes the results of this research, raising some pressing questions, attention to which could contribute to improving the drafting law process, in particular within linguistic expertise.
On Terminological Collisions and Other Imperfections of Articles 285.1, 285.2 of the Criminal Code of the Russian Federation
Authors: Karagina Daria
Published: January 2024

The article covers the legal and technical aspects of the construction of norms on the diversion of public funds and of national non-publicly funded scheme. The problem of intersectoral relations and logical and legal formalization of dispositions of Articles 285.1, 285.2 of the Criminal Code of the Russian Federation is analyzed. Attention is drawn to the presence of terminological ambiguity in these articles of the Criminal Code of the Russian Federation. It is noted that despite the fact that Articles 285.1, 285.2 of the Criminal Code of the Russian Federation have a blanket character, the legislator does not use the terminology of fiscal legislation, which undoubtedly creates significant difficulties in practice and is an obstacle to uniform law enforcement. The lack of updating of criminal legislation when making changes to the budget is indicated as an imperfection in the statement of the blanket norms. In addition, a number of fundamental documents defining budget execution are unreasonably excluded from the concept of diversion of public funds used in the Criminal Code of the Russian Federation. The legal and technical imperfection is also observed in the use of heterogeneous concepts in the formation of an open list of documents that define the goals of spending public funds. A number of definitions are not mentioned at all and are not disclosed either in the fiscal or in the criminal legislation, which creates legal ambiguity that is eliminated by law enforcement agencies at their discretion. Such an approach to the regulation of criminal law relations cannot be considered effective and answering the requirements of legal technology, as well as the objectives and principles of criminal law. The revealed imperfections in the presentation of the norms on the diversion of public funds and of national non-publicly funded scheme are subject to elimination at the legislative level by adjusting the dispositions of criminal law norms and bringing them into line with fiscal legislation.
The Problem of Understanding the Evaluative Concepts of Civil Law: the Ratio of Natural and Legal Language
Authors: Platunova Tatiana , Pleshivtseva Ulyana , Borodulina Tatiana
Published: January 2024

The article covers the problem of understanding evaluative concepts in civil law and legal linguistics. There have been attempts of civil studies to consider categories of evaluative concepts and propose their applied classifications. However, the problem of the presence and systematic interpretation of evaluative concepts in the legal sphere remains practically unresolved. In this article, we have made an attempt to identify the reason for the emergence and active use of evaluative concepts in civil law. This study answers the questions of what is meant by the concept of value in law and for what purpose it can be applied. We explored the main academic debate on the problem of evaluative concepts in law and linguistics, and then revealed that the evaluative concept is interpreted differently in these branches of knowledge and a possible convergence of understanding will cause great practical problems in law enforcement practice. The debate of linguists is caused by the basic idea that evaluative concepts have different, relative connotations, while lawyers strive to most clearly fix the phenomena of reality in evaluative concepts. The study identifies the characteristic features of evaluative concepts in the legal sphere and linguistics, which makes it possible to distinguish between interpretations.
Revenge Porn: On the Problem of Linguistic Analysis of Pornographic Content
Authors: Zaytseva Olga , Katyshev Pavel
Published: January 2024

The paper discusses the problem of forensic analysis of pornographic information in revenge porn situation (non-consensual public placement of materials of sexual explicit content). The paper presents a list of social practices related to revenge porn, specifies the participants of the communicative act (actor, addressee- person caught on camara, addressee-reference group, addressee-third-party participant), determines the intentional component of the actor's communicative activity, gives a list of the actor's communicative goals in conditions of multiple addressee-targeting . The features of the recontextualization of pornographic material are revealed. A weak dependence of pornographic discourse on extralinguistic background is established. It is noted that in the situation of revenge porn sexual explicit information is subjected to recontextualization, which makes it difficult to establish linguistic (semiotic) signs of pornographic information in forensic analysis. It is established that under the conditions of the transfer of a sexual explicit text into a conflict-triggering context, pornographic meanings are preserved. At the same time, the actualization of the taboo aspect of sexual interaction underlies the transformation of the emotive potential and determines the nature of the relationship between the participants in the communicative situation. The authors conclude that in order to establish the linguistic features of sexual explicit information, it is necessary to decontextualize the text submitted for forensic research. Analysis of the distribution context is necessary to establish the extralinguistic background of the actor's communication activity.
Identification Features in Forensic Examination of Text Borrowing
Authors: Novozhilova Elena
Published: January 2024

In the article, within the framework of the theory of criminalistic identification, based on works of the well-known criminalist scientist Prof. Valentin Koldin (1925–2020), we consider the features that a forensic expert works with when detecting textual borrowings (copy-paste and plagiarism).

An optimal classification of identification features put into six groups is proposed: text coincidence at character level, misprints, punctuation errors, grammatical errors, speech and logical errors, and other speech features. The author suggests using the term "errative method" in the examination of borrowings and considers identification features in terms of their suitability for research – specificity, manifestation, and stability.

At the same time, the differences between the examination of text borrowings and the traditional forensic authorship examination are emphasized: different identifiable objects (text and person, respectively), different properties of these objects, and, consequently, different features. The author analyzes the classifications of identification features represented in the most important scientific and methodological manuals on forensic authorship examination (in Russian), compares these classifications with the one given in the article, and concludes about the fundamental differences of the feature complexes.

The article concludes that the proposed set of features provides a significant identification redundancy of the material – in contrast to both traditional authorship examination and, in general, to the majority of forensic enquiries. This redundancy allows the expert to make a reliable conclusion about the non-randomness of the coincidence of features, that is, about the identity of the borrowed text.
How is the Wine Consumers Behavior Changing After Pandemic: A Descriptive Analysis of the Chinese Wine Market
Authors: Zhang Ruixin , Gardiner Paul
Published: January 2024

The COVID-19 pandemic had a substantial impact on the global wine industry, leading to dramatic changes in consumer behavior as well. Although the pandemic has significantly impeded the global economy, international trade, and social development, it has given an impetus to the process of digitalization, digital market has been growing prosperity, especially in China, a country as the bellwether in digitalization. The China wine market is one of the most potential markets in the world, Per capita expenditure of wine in China has increased quite significantly after 2021, compared to the Asia Pacific and global levels. Therefore, understanding how the changes in the Chinese wine consumer occurred after the pandemic will help wineries better enter the Chinese market and develop a digital marketing strategy. After the United Nations proposed the 17 Sustainable Development Goals in 2015, sustainability has become a primary theme of the world's concern. Therefore, the wine industry has also regarded sustainability as its primary goal. Digital transformation is an inevitable trend that foreign wineries have to face, which is also in conformity with the SDG targets. This paper aims to provide an in-depth understanding of the wine consumer behaviors’ existing circumstances after the pandemic through an exhaustive descriptive analysis, which helps foreign wineries lay down a new business strategy and realize digital transformation in the Chinese wine market.
(UN) Stable Cryptocurrency Markets: Insights From Volatility Modeling
Authors: Džafić Jasmina , Hečimović Emir
Published: January 2024

The cryptocurrency market has attracted considerable attention from investors and researchers alike. This paper examines the volatility patterns of two major cryptocurrencies utilizing GARCH modeling: Bitcoin, based on a proof-of-work mechanism, and Cardano, operating on a proof-of-stake mechanism. Our findings reveal differences in the volatility structures of the two cryptocurrencies, with Cardano demonstrating a reduced long-term volatility compared to Bitcoin. This study suggests that transitioning from proof-of-work to proof-of-stake mechanisms might lead to a decrease in market volatility.
Moderating Influence of Employee Competence on the Relationship between Employee Work Values Orientation and Job Performance in the Motor Vehicle Industry in Kenya
Authors: Wasike Fredrick , K’Obonyo Peter , Muindi Florence
Published: January 2024

The objective of the study was to establish the moderating influence of employee competence in the relationship between employee work values orientation and employee job performance in the motor vehicle industry in Kenya. This relationships was tested using corresponding null hypothesis. This study was based on competence motivation theory. The objective of the study was to eastablish the moderating influence of employee competence in the relationship between employee work values orieontation and employee pefrmance. Descriptive cross sectional survey was used in the study. The study had a population of 2,895 employees out of which a sample of 351 respondents were randomly chosen for data collection. Data was collected by use of structured questionnaires that were dropped and picked back while others were scanned and emailed back. Data was analyzed using regression models. Test findings showed that employee competence moderated the ralationship between work values orientation and employee job performance,. The significant findings implied that the hypothesis was rejected, and the study objective was positively determined. The study outcomes significantly contributed to theory, policy and practice of work values orientation and its influence on employee job performance. The limitation of the study comprised respondents’ attitude and subjectivity that may have crept in due to bias in choosing suitable responses, however the use of structured questionnaires reduced personal or subjective ways of responding to statements posed. The study suggested that a further study be done using similar variables on a longitudinal design for generalizability of results. Further, the study recommended that the motor vehicle industry adopts work values orientation and employee competence as joint variables that significantly improve employee job performance.
The Association Between Employees' Perspectives on CSR and their Commitment to The Organizations in The Hospital Settings
Authors: Younas Asifa , Saleem Kashif
Published: January 2024

There need to be more studies on how corporate social responsibility (CSR) affects personnel and Organizational Commitment (OC), even though many academics have examined the effects of CSR in various organizational situations. This study explores the relationship between hospital staff members' perceptions of CSR and OC in light of this research gap. The problem is addressed by this quantitative correlational study, which uses the social identity theory (SIT) as its conceptual framework. According to the theory, workers with higher CSR ratings will also have higher OC scores. The independent variables cover Four CSR dimensions: CSR toward consumers, CSR toward workers, and CSR toward the government. The community is the target of CSR. OC is the dependent variable. Hospitals in Pakistan were the source of research participants. The data analysis phase demonstrated a statistically significant positive association between hospital employees' views of OC and CSR. To detect any patterns or distinctions in how workers see CSR and its influence on OC, future research may want to replicate this survey with staff members from various departments and compare the results.
Ahmed Deedat’s Methodology in Comparative Theological Discourse and Zakir Naik’s Integration
Authors: Islam Mohammad Aminul , Ushama Thameem
Published: January 2024

Ahmed Deedat has a distinctive approach and unique way of formulating his da’wah materials and their organisation. Similarly, he presented his evidence and arguments to prove his point in the debates he engaged in, the talks he delivered, and the books he authored. Hence, this paper aims to exhibit Deedat’s methodology in studying religions, focusing on his preparation for a debate, delivering it followed by a question-answer session and the extent to which Zakir Naik incorporated it. Besides that, Deedat’s short biography and contributions to the comparative theological study are explored. An analytical and comparative method is employed in this study. The most significant finding of this research is Naik’s realisation in his fifties as a dāᶜin in all situations must be versatile in his preaching and propagation.
Kyrgyzstan at a Crossroads: Democracy and the Struggle for Human Rights
Authors: Gabbay Shaul M.
Published: January 2024

This paper examines the current human rights situation in Kyrgyzstan, a Central Asian country with a complex history and a challenging human rights record. Despite gaining independence in 1991 and making strides towards democratization, Kyrgyzstan continues to grapple with serious human rights issues. This analysis focuses on three critical areas: the use of torture by law enforcement and security services, restrictions on free expression, and interference with the freedom of association. This paper highlights the gap between the government's commitments to human rights reforms and the reality of persistent abuses and systemic challenges. The study finds that these human rights abuses are not isolated incidents but are indicative of deeper societal and governmental issues that hinder Kyrgyzstan's democratic development. The paper concludes by emphasizing the need for comprehensive reforms and continued domestic and international efforts to address these human rights challenges.
Impact of ICT Training on Junior High School Teachers' Performance in Teaching Mathematics in Tamale Metropolis
Authors: Iddrisu Bariham , Abdul Wadudu Mohammed , Awolu Fusheini
Published: January 2024

This study employed a quasi-experimental research design to examine the influence of ICT training on the proficiency of mathematics educators after receiving instruction on incorporating Computer Aided Instruction (CAI) into their teaching and learning practices. The study also probed to determine if differences exist in the academic achievement of JHS students who were taught mathematics with CAI and those taught with Traditional Method of Instruction (TMI). Ten JHSs were randomly sampled where five schools served as experimental group and the remaining five as control group. Mathematics Achievement Test (MAT), Classroom Observation Schedules (COS), and questionnaires were employed to collect the data from teachers and students. Using SPSS version 20, the data was analyzed and presented in tables and graphs. The study's findings demonstrated a noteworthy enhancement in the proficiency of both teachers and students in mathematics subsequent to the ICT training. It was also discovered that ICT training had a statistically significant effect on the mathematics performance of both teachers and pupils, leading to a good conclusion. Lastly, teachers in the study area encountered obstacles such as a scarcity of ICT laboratories, the nonexistence of internet connectivity, and insufficient ICT resources. The study recommends the establishment of regional centers to train mathematics teachers on how to teach with ICT, supply laptops and computers to JHSs using the PPP model, and equip JHSs with digital content to support teaching and learning with technology.
Zastosowanie zasady uzasadnionych oczekiwań w podatku od towarów i usług: studium przypadku
Authors: Rogowska-Rajda Beata
Published: January 2024

Celem artykułu jest określenie relacji unijnej i krajowej zasady ochrony uzasadnionych oczekiwań stosowanej w obszarze zharmonizowanego podatku VAT. Założono, że zasady te w ujęciu unijnym i krajowym, pomimo wspólnego mianownika, nie pokrywają się. W przypadku obszaru zharmonizowanego pierwszeństwo zawsze mają ramy gwarancyjne analizowanej zasady wyznaczone orzecznictwem Trybunału Sprawiedliwości (TSUE), nawet jeśli ograniczają zakres stosowania zasady ochrony uzasadnionych oczekiwań w ujęciu krajowym. Materiał badawczy stanowiły reprezentatywne wyroki TSUE dotyczące istoty zasady ochrony uzasadnionych oczekiwań, jej źródeł oraz przesłanek zastosowania. Wnioski z analizy odniesiono do wybranych stanów faktycznych, na podstawie których zapadły rozstrzygnięcia Naczelnego Sądu Administracyjnego uwzględniające zasadę ochrony uzasadnionych oczekiwań w ujęciu krajowym. Analiza tej zasady wskazuje na różny zakres ochrony, w przypadku zharmonizowanego i niezharmonizowanego prawa podatkowego. Przede wszystkim zasada ta nie będzie miała zastosowania w przypadku praktyki państwa członkowskiego sprzecznej z regulacją unijną, nawet jeśli praktyka ta jest korzystna dla jednostki. Uzasadnione oczekiwania nie mogą też powstać w przypadku nadużycia praw lub naruszenia prawa przez jednostkę, nawet jeśli stworzony przez nią stan niezgodny z prawem był tolerowany przez Unię lub organy krajowe. Przeprowadzona w artykule analiza wykorzystywania zasady uzasadnionych oczekiwań w polskim orzecznictwie sądowym w zakresie VAT prowadzi do wniosku, że znajduje ona znacznie szersze zastosowanie, niż wynikałoby to z doktryny i judykatury unijnej, co wskazuje na potrzebę zmian w tym zakresie.
Podatek od bogactwa w USA: propozycje polityczno-prawne i spory o jego zgodność z Konstytucją
Authors: Wojciechowski Karol
Published: January 2024

Celem artykułu jest prześledzenie najgłośniejszych w USA propozycji federalnego podatku od bogactwa (wealth tax), a także sporów dotyczących zgodności takiego podatku z amerykańską Konstytucją. Posługując się metodą historyczno-opisową oraz porównawczą, autor analizuje relewantną amerykańską literaturę przedmiotu oraz orzecznictwo Sądu Najwyższego USA, w tym liczne opinie na temat konstytucyjnej klauzuli o „podatkach bezpośrednich”, między innymi ojców założycieli. Jak wynika z przeprowadzonych badań, propozycje podatku od bogactwa, tj. od wartości netto majątku powyżej określonej wartości, są czymś względnie nowym w historii USA. Jak się wydaje, szczególnym tego powodem jest fakt mocno przyspieszonego od lat osiemdziesiątych wzrostu nierówności dochodowych – a co za tym idzie: majątkowych. Koncepcje podatku od bogactwa pojawiają się bowiem zarówno w środowiskach akademickich, jak i wśród polityków – co świadczy o dużej skali problemu nierówności. Zwolennicy podatku wskazują między innymi, że nadmierna koncentracja majątkowa i wynikające z niej nierówności są szkodliwe tak z punktu widzenia polityczno-prawnego, jak i ekonomicznego. Wokół propozycji podatku od bogactwa istnieje jednak wiele wątpliwości. Przede wszystkim w odniesieniu do tego, czy podatek od bogactwa wchodzi w zakres konstytucyjnej klauzuli o „podatkach bezpośrednich”, a zatem czy podlega konieczności „rozdzielenia” jego wysokości pomiędzy stany proporcjonalnie do liczby ich mieszkańców, co znacznie utrudniłoby przyjęcie takiego podatku, a być może wręcz uniemożliwiłoby.
To win the war is not the same as to ‘win the peace’: the coming constitutional moment in Ukraine
Authors: Kamiński Antoni Z. , Kowalewska Emilia
Published: January 2024

Russia’s continuing aggression against Ukraine is exceptional both in terms of its scale and its global implications. A peaceful and prosperous future for Ukraine, neighbouring states and indeed the entire continent, depends upon two interrelated factors. The first is Ukraine’s ability to win, with Western support, the war initiated against it by the Russian Federation under Putin. This would bring about a new global opening, ending the Moscow-Beijing anti-Western axis in world politics. The second factor is Ukraine’s ability to take advantage of the constitutional moment that will present itself as attention shifts from the military effort toward the process of state reconstruction. Presenting the situation of Ukraine in regional, historical, and global context, we draw attention to specific challenges and choices that state elites will face post-war. We explain the internal and external implications of these choices to show why Ukraine should seize its upcoming constitutional moment. Drawing on both political theory and real world examples of constitutional revolutions, we explain the factors involved in the effective exploitation of the constitutional moment. We suggest that, channelled to constructive purposes, the demands and aspirations of Ukrainian citizens may help propel the political and economic reforms needed to secure social trust and a stable future. We conclude that multi-level political and civic engagement in a new constitutional process will be indispensable for reconstructing the institutional foundations for peace, democratic governance and the rule of law in post-conflict Ukraine.
The 2+1-convex hull of a~finite set
Authors: Angulo Pablo , García-Gutiérrez Carlos
Published: January 2024

Rank-one convexity is a weak form of convexity related to convex integration and the elusive notion of quasiconvexity, but more amenable both in theory and practice.
However, exact algorithms for computing the rank one convex hull of a finite set are only known for some special cases of separate convexity with a finite number of directions. Both inner approximations either with laminates or

T
4

{T_{4}}

’s and outer approximations through polyconvexity are known to be insufficient in general.
We study

ℝ
2

⊕
ℝ

{\mathbb{R}^{2}\oplus\mathbb{R}}

-separately convex hulls of finite sets, which is a special case of rank-one convexity with infinitely many directions in which

T
4

{T_{4}}

’s are known not to capture the rank one convex hull. When

ℝ
3

{\mathbb{R}^{3}}

is identified with a subset of

2
×
3

{2\times 3}

matrices, it is known to correspond also to quasiconvexity.
We propose new inner and outer approximations built upon systematic use of known results, and prove that they agree. The inner approximation allows to understand better the structure of the rank one convex hull. The outer approximation gives rise to a computational algorithm which, in some cases, computes the hull exactly, and in general builds a sequence that converges to the hull.
We use and systematize all previous attempts at computing D-convex hulls, and bring new ideas that may help compute general D-convex hulls.
Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
Authors: Verma Ashish , Yadav Komal Singh , Sharan Bhagwat , Suthar D. L.
Published: January 2024

In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.
Characterization of lacunary ℐ-convergent sequences in credibility space
Authors: Das Mousami , Kişi Ömer , Tripathy Binod Chandra , Das Birojit
Published: January 2024

This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space.
We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of
credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly

ℐ

{\mathcal{I}}

-lacunary Cauchy, and strongly

ℐ
∗

{\mathcal{I}^{\ast}}

-lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.
Adaptive Image Compression via Optimal Mesh Refinement
Authors: Feischl Michael , Hackl Hubert
Published: January 2024

The JPEG algorithm is a defacto standard for image compression. We investigate whether adaptive mesh refinement can be used to optimize the compression ratio and propose a new adaptive image compression algorithm. We prove that it produces a quasi-optimal subdivision grid for a given error norm with high probability. This subdivision can be stored with very little overhead and thus leads to an efficient compression algorithm. We demonstrate experimentally, that the new algorithm can achieve better compression ratios than standard JPEG compression with no visible loss of quality on many images. The mathematical core of this work shows that Binev’s optimal tree approximation algorithm is applicable to image compression with high probability, when we assume small additive Gaussian noise on the pixels of the image.
An Optimal Method for High-Order Mixed Derivatives of Bivariate Functions
Authors: Semenova Evgeniya V. , Solodky Sergiy G.
Published: January 2024

The problem of optimal recovering high-order mixed derivatives of bivariate functions with finite
smoothness is studied. Based on the truncation method, an algorithm for numerical differentiation is
constructed, which is order-optimal both in the sense of accuracy and in terms of the amount of involved Galerkin
information. Numerical examples are provided to illustrate the fact that our approach can be implemented
successfully.
Nodal Enriques surfaces are Reye congruences
Authors: Martin Gebhard , Mezzedimi Giacomo , Veniani Davide Cesare
Published: January 2024

We show that every classical Enriques surface containing a smooth rational curve is a Reye congruence.
Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))
Authors: Brendle Tara E. , Margalit Dan
Published: January 2024

The proof
of the first statement of Theorem 5.1 of the paper referenced in the title is correct for

k
=
1

{k=1}

and incorrect for

k
≥
2

{k\geq 2}

and should be considered an open problem. As such, the proof of the second statement is not correct for

k
≥
2

{k\geq 2}

.
Finite rigid sets of the non-separating curve complex
Authors: De Pool Rodrigo
Published: January 2024

We prove that the non-separating curve complex of every surface of finite type and genus at least three admits an exhaustion by finite rigid sets.
The globally smooth solutions and asymptotic behavior of the nonlinear wave equations in dimension one with multiple speeds
Authors: Wei Changhua
Published: January 2024

We are interested in the one-dimensional nonlinear wave equations with multiple wave speeds by the energy method.
By choosing different multipliers corresponding to the different wave speeds, we show that the one-dimensional nonlinear wave equations also have globally smooth solutions provided that the nonlinearities satisfy certain structural conditions when the initial data are small. Furthermore, we can prove that the global solutions will converge to the solutions of the linearized system based on the decay properties of the nonlinearities.
A fixed point theorem for isometries on a metric space
Authors: Wiśnicki Andrzej
Published: January 2024

We show that if X is a complete metric space with uniform relative normal
structure and G is a subgroup of the isometry group of X with bounded
orbits, then there is a point in X fixed by every isometry in G. As a
corollary, we obtain a theorem of U. Lang (2013) concerning injective metric
spaces. A few applications of this theorem are given to the problems of
inner derivations. In particular, we show that if

L
1

⁢

(
μ
)

{L_{1}(\mu)}

is an
essential Banach

L
1

⁢

(
G
)

{L_{1}(G)}

-bimodule, then any continuous derivation

δ
:

L
1

⁢

(
G
)

→

L
∞

⁢

(
μ
)

{\delta:L_{1}(G)\rightarrow L_{\infty}(\mu)}

is inner. This extends a theorem of
B. E. Johnson (1991) asserting that the convolution algebra

L
1

⁢

(
G
)

{L_{1}(G)}

is
weakly amenable if G is a locally compact group.
Enochs’ conjecture for cotorsion pairs and more
Authors: Bazzoni Silvana , Šaroch Jan
Published: January 2024

Enochs’ conjecture asserts that each covering class of modules (over any ring) has to be closed under direct limits. Although various special cases of the conjecture have been verified, the conjecture remains open in its full generality. In this paper, we prove the conjecture for the classes

Filt
⁡

(
𝒮
)

{\operatorname{Filt}(\mathcal{S})}

, where

𝒮

{\mathcal{S}}

consists of

ℵ
n

{\aleph_{n}}

-presented modules for some fixed

n
<
ω

{n<\omega}

. In particular, this applies to the left-hand class of any cotorsion pair generated by a class of

ℵ
n

{\aleph_{n}}

-presented modules.
Moreover, we also show that it is consistent with ZFC that Enochs’ conjecture holds for all classes of the form

Filt
⁡

(
𝒮
)

{\operatorname{Filt}(\mathcal{S})}

, where

𝒮

{\mathcal{S}}

is a set of modules. This leaves us with no explicit example of a covering class where we cannot prove that Enochs’ conjecture holds (possibly under some additional set-theoretic assumption).
Donoho–Stark and Price uncertainty principles for a class of q-integral transforms with bounded kernels
Authors: Castro Luis P. , Guerra Rita C.
Published: January 2024

We consider a very global q-integral transform, essentially characterized by having a bounded kernel and satisfying a set of natural and useful properties for the realization of applications. The main ambition of this work is to seek conditions that guarantee uncertainty principles of the Donoho–Stark type for that class of q-integral transforms. It should be noted that the global character of the q-integral transform in question allows one to immediately deduce corresponding Donoho–Stark uncertainty principles for q-integral operators that are its particular cases. These particular cases are very well-known operators, namely: a q-cosine-Fourier transform, a q-sine-Fourier transform, a q-Fourier transform, a q-Bessel–Fourier transform and a q-Dunkl transform.
Moreover, generalizations of the local uncertainty principle of Price for the q-cosine-Fourier transform, q-sine-Fourier transform, q-Fourier transform, q-Bessel–Fourier transform and q-Dunkl transform are also obtained.
One-sided Gorenstein rings
Authors: Christensen Lars Winther , Estrada Sergio , Liang Li , Thompson Peder , Wang Junpeng
Published: January 2024

Distinctive characteristics of Iwanaga–Gorenstein rings are
typically understood through their intrinsic symmetry. We show that
several of those that pertain to the Gorenstein global dimensions
carry over to the one-sided situation, even without the noetherian
hypothesis. Our results yield new relations among homological
invariants related to the Gorenstein property, not only Gorenstein
global dimensions but also the suprema of projective/injective
dimensions of injective/projective modules and finitistic
dimensions.
The quotient set of the quadratic distance set over finite fields
Authors: Iosevich Alex , Koh Doowon , Rakhmonov Firdavs
Published: January 2024

Let

𝔽
q
d

{\mathbb{F}_{q}^{d}}

be the d-dimensional vector space over the finite field

𝔽
q

{\mathbb{F}_{q}}

with q elements. For each non-zero r in

𝔽
q

{\mathbb{F}_{q}}

and

E
⊂

𝔽
q
d

{E\subset\mathbb{F}_{q}^{d}}

, we define

W
⁢

(
r
)

{W(r)}

as the number of quadruples

(
x
,
y
,
z
,
w
)

∈

E
4

{(x,y,z,w)\in E^{4}}

such that

Q
⁢

(

x
-
y

)

Q
⁢

(

z
-
w

)

=
r

{\frac{Q(x-y)}{Q(z-w)}=r}

, where Q is a non-degenerate quadratic form in d variables over

𝔽
q

{\mathbb{F}_{q}}

.
When

Q
⁢

(
α
)

=

∑

i
=
1

d

α
i
2

{Q(\alpha)=\sum_{i=1}^{d}\alpha_{i}^{2}}

with

α
=

(

α
1

,
…
,

α
d

)

∈

𝔽
q
d

{\alpha=(\alpha_{1},\ldots,\alpha_{d})\in\mathbb{F}_{q}^{d}}

,
Pham (2022) recently used the machinery of group actions and proved that if

E
⊂

𝔽
q
2

{E\subset\mathbb{F}_{q}^{2}}

with

q
≡

3

⁢

(

mod
⁡
 4

)

{q\equiv 3~{}(\operatorname{mod}\,4)}

and

|
E
|

≥

C
⁢
q

{|E|\geq Cq}

, then we have

W
⁢

(
r
)

≥

c
⁢

|
E
|

4

q

{W(r)\geq\frac{c|E|^{4}}{q}}

for any non-zero square number

r
∈

𝔽
q

{r\in\mathbb{F}_{q}}

, where C is a sufficiently large constant, c is some number between 0 and 1, and

|
E
|

{|E|}

denotes the cardinality of the set E.
In this article, we improve and extend Pham’s result in two dimensions to arbitrary dimensions with general non-degenerate quadratic distances. As a corollary of our results, we also generalize the sharp results on the Falconer-type problem for the quotient set of distance set due to the first two authors and Parshall (2019). Furthermore, we provide improved constants for the size conditions of the underlying sets.
The key new ingredient is to relate the estimate of the

W
⁢

(
r
)

{W(r)}

to a quadratic homogeneous variety in

2
⁢
d

{2d}

-dimensional vector space.
This approach is fruitful because it allows us to take advantage of Gauss sums which are more handleable than the Kloosterman sums appearing in the standard distance-type problems.
Multiplicity of solutions for a singular system with sign-changing potential
Authors: Lin Wentao , Wei Yilan
Published: January 2024

This paper focuses on a singular system with a sign-changing potential in Γ, a bounded domain with a Lipschitz boundary in

ℝ
d

{\mathbb{R}^{d}}

. By imposing appropriate conditions on the weight potential, which is allowed to change sign, we establish the existence of multiple solutions using the shape optimization approach. This study represents one of the earliest endeavors to explore and analyze the occurrence of multiple solutions in fractional singular systems involving sign-changing potentials. By explicitly addressing this particular aspect, our paper contributes significantly to the limited body of literature that exists in this specific field.
Conceptualising Extraterritoriality. Public International Law and Private International Law Considerations
Authors: Leontiev Lucia
Published: January 2024

The aim of this article is to analyse extraterritoriality from public international law and private international law perspectives. Although many scholars relate the exercise of extraterritorial jurisdiction to both private and public international law, in practice the topic is mainly considered as belonging to the latter. Moreover, extraterritorial jurisdiction is not a common notion under private international law. Perhaps because the extraterritorial norm is intended to regulate first and foremost state conduct and not relationships between private persons, but this vision does not take into account that the latter are frequently affected by the norm. It is argued here that from a public international law perspective, the legal framework of extraterritorial jurisdiction is unsettled and incomplete. The bottom line is that states are largely free to unfold their power, given that international law does not really regulate extraterritorial jurisdiction but only establishes the negative obligation not to trespass on state sovereignty. Thus, considering extraterritorial jurisdiction from a national perspective, in this paper, under the general framework of private international law is not only necessary but also justified. In addressing the above, this article will first analyse extraterritoriality as an exception under public international law (2). It will reflect on the lawful/unlawful grounds for the exercise of extraterritorial jurisdiction and will show that the abandonment of territoriality in jurisdictional assertions is more desirable than feasible. Then extraterritoriality will be analysed as an inherent feature of private international law, that can be traced in all three domains regulated by the private international law (3). It will also make a case on the extraterritorial reach of national constitutions.
Estimates for the commutators of Riesz transforms related to Schrödinger-type operators
Authors: Wang Yanhui , Wang Kang
Published: January 2024

Let

ℒ
2

=

(

-
Δ

)

2

+

V
2

{\mathcal{L}_{2}=(-\Delta)^{2}+V^{2}}

be the Schrödinger-type operator on

ℝ
n

{\mathbb{R}^{n}}

(

n
≥
5

{n\geq 5}

), let

H

ℒ
2

1

⁢

(

ℝ
n

)

{H^{1}_{\mathcal{L}_{2}}(\mathbb{R}^{n})}

be the Hardy space related to

ℒ
2

{\mathcal{L}_{2}}

, and let

BMO
θ

⁢

(
ρ
)

{\mathrm{BMO}_{\theta}(\rho)}

be the BMO-type space introduced by Bongioanni, Harboure and Salinas.
In this paper, we investigate the boundedness of commutator

[
b
,

T

α
,
β
,
j

]

{[b,T_{\alpha,\beta,j}]}

, which is generated by the Riesz transform

T

α
,
β
,
j

=

V

2
⁢
α

⁢

∇
j

⁡

ℒ
2

-
β

{T_{\alpha,\beta,j}=V^{2\alpha}\nabla^{j}\mathcal{L}_{2}^{-\beta}}

,

j
=

1
,
2
,
3

{j=1,2,3}

, and

b
∈

BMO
θ

⁢

(
ρ
)

{b\in\mathrm{BMO}_{\theta}(\rho)}

. Here,

0
<
α
≤

1
-

j
4

{0<\alpha\leq 1-\frac{j}{4}}

,

j
4

<
β
≤
1

{\frac{j}{4}<\beta\leq 1}

,

β
-
α

=

j
4

{\beta-\alpha=\frac{j}{4}}

, and the nonnegative potential V
belongs to both the reverse Hölder class

RH
s

{\mathrm{RH}_{s}}

with

s
≥

n
2

{s\geq\frac{n}{2}}

and the Gaussian class associated with

(

-
Δ

)

2

{(-\Delta)^{2}}

.
The

L
p

{L^{p}}

boundedness of

[
b
,

T

α
,
β
,
j

]

{[b,T_{\alpha,\beta,j}]}

is obtained, and it is also shown that

[
b
,

T

α
,
β
,
j

]

{[b,T_{\alpha,\beta,j}]}

is bounded from

H

ℒ
2

1

⁢

(

ℝ
n

)

{H^{1}_{\mathcal{L}_{2}}(\mathbb{R}^{n})}

to weak

L
1

⁢

(

ℝ
n

)

{L^{1}(\mathbb{R}^{n})}

.