Basis For Integration Research Articles

A libraries reproducibility hackathon: connecting students to University research and testing the longevity of published code

Reproducibility is a basis of scientific integrity, yet it remains a significant challenge across disciplines in computational science. This reproducibility crisis is now being met with an Open Science movement, which has risen to prominence within the scientific community and academic libraries especially. To address the need for reproducible computational research and promote Open Science within the community, members of the Open Science and Data Collaborations Program at Carnegie Mellon University Libraries organized a single-day hackathon centered around reproducibility. Partnering with a faculty researcher in English and Digital Humanities, this event allowed several students an opportunity to interact with real research outputs, test the reproducibility of data analyses with code, and offer feedback for improvements. With Python code and data shared by the researcher in an open repository, we revealed that students could successfully reproduce most of the data visualizations, but they required completing some manual setup and modifications to address depreciated libraries to successfully rerun the code. During the event, we also investigated the option of using ChatGPT to debug and troubleshoot rerunning this code. By interacting with a ChatGPT API in the code, we found and addressed the same roadblocks and successfully reproduced the same figures as the participating students. Assessing a second option, we also collaborated with the researcher to publish a compute capsule in Code Ocean. This option presented an alternative to manual setup and modifications, an accessible option for more limited devices like tablets, and a simple solution for outside researchers to modify or build on existing research code.

All-loop geometry for four-point correlation functions

In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar N=4 super Yang-Mills. Beginning with four lines in twistor space, we characterize a positive subspace to which an ℓ-loop geometry is attached. The loop geometry then consists of ℓ lines in twistor space satisfying positivity conditions among themselves and with respect to the base. Consequently, the can be viewed as fibration over a . The fibration naturally dissects the base into chambers, in which the degree-4ℓ loop form is unique and distinct for each chamber. Interestingly, up to three loops, the chambers are simply organized by the six ordering of x1,22x3,42, x1,42x2,32, and x1,32x2,42. We explicitly verify our conjecture by computing the loop-forms in terms of a basis of planar conformal integrals up to ℓ=3, which indeed yield correct loop integrands for the four-point correlator. Published by the American Physical Society 2024

Методология управления качеством образования на основе интегративной оценки

The article focuses on the study of the theoretical and methodological foundations of education quality management at a technical university, based on fundamental research and key ideas of scientists; theories of vocational, engineering and technical education; conceptual provisions, principles of assessment activities, approaches and research methods; the conceptual-categorical apparatus is clarified. Aim. To identify and generalize the theoretical and methodological foundations of education quality management at a technical university, to find its niche, basis and «foundation». Methods. Analysis of philosophical, sociological, psychological and pedagogical literature, scientific sources; state and regulatory documents on the research problem; analysis of the main concepts of this work. Results. The scientific foundations for creating an education quality management system at a technical university have been developed based on integrative assessment and monitoring of student professional development using digital resources, which ensures continuous correlation of this information with the requirements for a graduate specified in the Federal State Educational Standard and the OPOP (for a specific training profile), and adjustment taking into account these indicators of didactic conditions for the professional and personal development of students. Scientific novelty. Based on a generalization of the experience of fundamental research and key ideas of scientists in the field of pedagogy, sociology, psychology, philosophy a conceptual position is formulated on which the mechanism for managing the quality of education at a technical university is based. The practical significance of the research results is determined by the fact that in the practice of managing the quality of education, it becomes possible to evaluate the professional development of students on an integrative basis, predict changes in the development of students, and plan specific management decisions within the framework of this system.

Pt thin-film resistance thermo detectors with stable interfaces for potential integration in SiC high-temperature pressure sensors

Due to the excellent mechanical, chemical, and electrical properties of third-generation semiconductor silicon carbide (SiC), pressure sensors utilizing this material might be able to operate in extreme environments with temperatures exceeding 300 °C. However, the significant output drift at elevated temperatures challenges the precision and stability of measurements. Real-time in situ temperature monitoring of the pressure sensor chip is highly important for the accurate compensation of the pressure sensor. In this study, we fabricate platinum (Pt) thin-film resistance temperature detectors (RTDs) on a SiC substrate by incorporating aluminum oxide (Al2O3) as the transition layer and utilizing aluminum nitride (AlN) grooves for alignment through microfabrication techniques. The composite layers strongly adhere to the substrate at temperatures reaching 950 °C, and the interface of the Al2O3/Pt bilayer remains stable at elevated temperatures of approximately 950 °C. This stability contributes to the excellent high-temperature electrical performance of the Pt RTD, enabling it to endure temperatures exceeding 850 °C with good linearity. These characteristics establish a basis for the future integration of Pt RTD in SiC pressure sensors. Furthermore, tests and analyses are conducted on the interfacial diffusion, surface morphological, microstructural, and electrical properties of the Pt films at various annealing temperatures. It can be inferred that the tensile stress and self-diffusion of Pt films lead to the formation of hillocks, ultimately reducing the electrical performance of the Pt thin-film RTD. To increase the upper temperature threshold, steps should be taken to prevent the agglomeration of Pt films.

The national idea in the Ukrainian legal area

The study is based on the assumption that at the current stage of development of the State and society, there is a need to form a national idea of the State, which is a theoretical expression of the Ukrainian people's self-awareness of their identity and individuality, and which, based on common values and interests, can be one of the important factors in consolidating Ukrainian society, a general vector for further development of the country and a guideline for its role and place in the world community. The national idea is an expression not only of the psychological and cultural model of society, but also a manifestation of the national legal sphere, which has a complex and ambiguous composition that requires a detailed scientific study. The purpose of the study is to identify the prerequisites and components of the formation of the national idea at the current stage of development of Ukrainian society and the State in the legal plane. The theoretical basis of the study is based on analytical developments in the theory of state and law, political science, constitutional law, and sociology of law in the study of various aspects of the national idea in the context of globalization. Numerous tasks and the diversity of the material under study have led to the use of various research methods: formal legal, systemic and structural, specific sociological, logical. The work uses the socio-cultural and civilizational approaches to the analysis of legal ideology, legal policy, legal doctrine, as well as axiological, geopolitical, and institutional approaches to the national idea of the State. It is noted that when forming the national idea, laying a progressive national-state ideology as its basis, it is necessary to take into account both the cultural uniqueness of Ukraine and the legal component of society, as well as global trends in the modern world. In the context of state-building, the national idea should be an integrative ideological basis on which to consolidate the political nation and create a project for the country's development for the future. It can be argued that the modern state-building process in Ukraine requires modernization of the concept of the national idea and certain adjustments to its value content. In order for the national idea to become an effective basis for the development of the rule of law, it must be correlated with legal ideology, legal policy and legal doctrine, and must be consistent with such values as national interest and national mentality. The implementation of the national idea should have a specific content and be filled with practical steps in the development of the Ukrainian state.

The Tropical and Zonotopal Geometry of Periodic Timetables

AbstractThe Periodic Event Scheduling Problem (PESP) is the standard mathematical tool for optimizing periodic timetables in public transport. A solution to a PESP instance consists of three parts: a periodic timetable, a periodic tension, and integer offset values. While the space of periodic tensions has received much attention in the past, we explore geometric properties of the other two components. The general aim of this paper is to establish novel connections between periodic timetabling and discrete geometry. Firstly, we study the space of feasible periodic timetables as a disjoint union of polytropes. These are polytopes that are convex both classically and in the sense of tropical geometry. We then study this decomposition and use it to outline a new heuristic for PESP, based on neighbourhood relations of the polytropes. Secondly, we recognize that the space of fractional cycle offsets is in fact a zonotope, and then study its zonotopal tilings. These are related to the hyperrectangle of fractional periodic tensions, as well as the polytropes of the periodic timetable space, and we detail their interplay. To conclude, we also use this new understanding to give tight lower bounds on the minimum width of an integral cycle basis.

Landasan Filosofis Integrasi Ilmu Pengetahuan dan Agama

This article aims to examine and formulate a model for integrating religious knowledge with general science, focusing on the ontological, epistemological, and axiological foundations. In the context of modern secularism, which has led to the separation of religion and scientific knowledge, this research seeks to restore spiritual values within scientific inquiry and integrate the two disciplines to create knowledge that is not value-free. The research method used by the author is a qualitative approach with a type of library research with data collection methods by conducting documentation studies by examining primary and secondary sources in the form of books and scientific articles. The results of this study concluded that the integration of science is an effort to combine religious science and general science by incorporating religious values into it and looking for similarities between the two. Integration is done to make science not free of moral values and create good human beings who are in accordance with the two functions of human creation, namely as khalifah and good servants of Allah. The philosophical bases of science integration include ontological, epistemological and axiological bases. From the ontological basis, the relationship between the highest reality, namely God, and the lowest reality, namely creatures, has a close and inseparable relationship. Epistemologically, the source of general and religious knowledge comes from one source, namely God, who then provides means or tools of knowledge in the form of reason and the five senses, as a tool for obtaining knowledge and Islamic epistemology recognizes the means of knowledge in the form of intuition to achieve metaphysical-immaterial knowledge, where this method of intuition is in the form of inspiration and revelation. And axiologically, the integration of general science and religious science gives birth to science that is not value-free, so that it can make the development of science consistent with moral values in accordance with religion and the Qur'an, which gives birth to benefits in the world and the hereafter in the form of material, intellectual and spiritual enjoyment in humans who are a unity between body and spirit.

Intersection numbers, polynomial division and relative cohomology

We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential n-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the polynomial division technique, recently proposed in the literature. We show that delta-forms capture the leading behaviour of the intersection numbers in presence of evanescent analytic regulators, whose use is, therefore, bypassed. This simplified algorithm is applied to derive the complete decomposition of two-loop planar and non-planar Feynman integrals in terms of a master integral basis. More generally, it can be applied to derive relations among twisted period integrals, relevant for physics and mathematical studies.

Index characterization and monogenity of septic number fields defined by x 7 + ax 4 + b

In this paper, we calculate the index of any septic number field K generated by a root α of a monic irreducible trinomial F(x) = x 7 + ax 4 + b ∈ ℤ[x]. Our approach is based on Engstrom’s results and the factorization of any rational prime in K. In such a way we give a complete answer of Problem 22 of Narkiewicz ([28]) for this family of number fields. As an application of our results, if i(K) ≠ 1, then K is not monogenic. Also, we give generators of power integral bases in some cases where i(K) = 1. Our results are illustrated by some computational examples.

Russia, Ukraine and the climate crisis: Transforming circuits of power

The paper addresses a history of the present, doing so in relation to UN Sustainable Development Goal #13, that of taking urgent action to combat climate change. It uses key concepts from the circuits of power framework (Clegg 1989; 2023) to do so; notably the idea of social and system integration, adapted from Lockwood (1964). The focus is on the impact of the Russian invasion of Ukraine on European system integration that is dependent on trade in fossils fuels. The paper begins by a backwards glance at how the Soviet Union disintegrated to become Putin’s Russia, via Gorbachev’s attempts at reforming the basis for social integration (Brown, 1997). It contrasts the social integration of Russia with that of the Western democracies. All of this discussion is preparatory to a consideration of Putin’s paradoxes in invading Ukraine and how the unanticipated consequences of this strategic choice point to an undermining of the basis of Putin’s power. The cost inflation and limiting of gas supplies to Europe by supply chain disruption that have been a consequence of Russia’s invasion of Ukraine provide a massive stimulus for the greening of the global economy’s energy sources, thus undermining the resource based power on which the Russian economy is founded.

Integration of the Food Supply Chain as a Driver of Sustainability: A Conceptual Framework

This paper presents a conceptual framework aimed at exploring the connections between integration within the food supply chain and the three pillars of sustainability: economic, environmental, and social. The analysis combines theoretical insights with empirical research, specifically focusing on the economic aspect of sustainability, measured through efficiency. The study emphasizes the critical role of integrating participants across the food supply chain to achieve sustainability goals. It discusses methodologies for assessing integration levels within the chain, providing a theoretical and analytical basis for modeling integration and efficiency within the supply chain. To empirically validate these relationships, an extended stochastic frontier analysis (SFA) method was applied to selected sectors within the food processing industry. The results demonstrate that enhancing integration with suppliers and buyers can significantly improve efficiency within the food chain. In conclusion, through deductive reasoning, this study asserts that integration plays a pivotal role in advancing economic sustainability objectives within the food sector. This framework contributes to a deeper understanding of how integration influences sustainability outcomes, offering valuable insights for stakeholders aiming to enhance sustainability in food systems.

YAP charge patterning mediates signal integration through transcriptional co-condensates.

Transcription factor dynamics are used to selectively engage gene regulatory programs. Biomolecular condensates have emerged as an attractive signaling substrate in this process, but the underlying mechanisms are not well-understood. Here, we probed the molecular basis of YAP signal integration through transcriptional condensates. Leveraging light-sheet single-molecule imaging and synthetic condensates, we demonstrate charge-mediated co-condensation of the transcriptional regulators YAP and Mediator into transcriptionally active condensates in stem cells. IDR sequence analysis and YAP protein engineering demonstrate that instead of the net charge, YAP signaling specificity is established through its negative charge patterning that interacts with Mediator's positive charge blocks. The mutual enhancement of YAP/Mediator co-condensation is counteracted by negative feedback from transcription, driving an adaptive transcriptional response that is well-suited for decoding dynamic inputs. Our work reveals a molecular framework for YAP condensate formation and sheds new light on the function of YAP condensates for emergent gene regulatory behavior.

A computation of two-loop six-point Feynman integrals in dimensional regularization

We compute three families of two-loop six-point massless Feynman integrals in dimensional regularization, namely the double-box, the pentagon-triangle, and the hegaxon-bubble family. This constitutes the first analytic computation of two-loop master integrals with eight scales. We use the method of canonical differential equations. We describe the corresponding integral basis with uniform transcendentality, the relevant function alphabet, and analytic boundary values at a particular point in the Euclidean region up to the fourth order in the regularization parameter ϵ. The results are expressed as one-fold integrals over classical polylogarithms. We provide a set of supplementary files containing our results in machine-readable form, including a proof-of-concept implementation for numerical evaluations of the one-fold integrals valid within a subset of the Euclidean region.

Beyond large complex structure: quantized periods and boundary data for one-modulus singularities

We study periods in an integral basis near all possible singularities in one-dimensional complex structure moduli spaces of Calabi-Yau threefolds. Near large complex structure points these asymptotic periods are well understood in terms of the topological data of the mirror Calabi-Yau manifold. The aim of this work is to characterize the period data near other boundaries in moduli space such as conifold and K-points. Using results from Hodge theory, we provide the general form of these periods in a quantized three-cycle basis. Based on these periods we compute the prepotential and related physical couplings of the underlying supergravity theory. Moreover, we elucidate the meaning of the model-dependent coefficients that appear in these expressions: these can be identified with certain topological and arithmetic numbers associated to the singular geometry at the moduli space boundary. We illustrate our findings by studying a wide set of examples.

Two-loop master integrals for leading-color pp→tt¯H\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ pp\ o t\\overline{t}H $$\\end{document} amplitudes with a light-quark loop

We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in tt¯H\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ t\\overline{t}H $$\\end{document} production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differential equations in ϵ-factorized form. We present the analytic form of the differential equations in terms of a minimal set of differential one-forms. We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes. Finally, we solve the differential equations using generalized series expansions to numerically evaluate the master integrals in physical phase space. As the first computation of a set of two-loop seven-scale master integrals, our results provide valuable input for analytic studies of scattering amplitudes in processes involving massive particles and a large number of kinematic scales.

Methodological bases of integration of Positive Psychotherapy with modern directions of psychotherapeutic assistance

Methodological bases of integration of Positive Psychotherapy with modern directions of psychotherapeutic assistance

THE IMPLICITY OF RELATIONSHIP BETWEEN TRANSPARENCY OF BANK LENDING TO THE REAL SECTOR AND ECONOMIC DEVELOPMENT: WORLD EXPERIENCE

The modern development of the global economy is associated with multiple transformational challenges that raise the issue of ensuring an appropriate level of mutual trust between banking and industrial businesses. This issue is especially relevant for Ukraine, which is facing a crucial task - the post-war reconstruction of the national economy on the basis of sustainability, integrity and environmental friendliness. The aim of the paper is to identify implicit links between the transparency of bank lending to the real sector and economic development over the past 15 years in twelve countries, including Ukraine. This study is based on the correlation and regression tools for analysing relationships. As a result, the article confirms the hypothesis of the existence of significant cause-and-effect relationships between improving banking transparency, reducing corruption, growing economic freedom, increasing lending to the real sector and ensuring economic growth for a number of countries, regardless of their level of economic development. It has been found that in countries with steadily high corruption and economic freedom perception indices, the significance of the correlation with the development of bank lending to the real sector is lost. The reasons for deviations from the natural dialectic of the studied relationships are revealed in the example of India and Turkey. The peculiarities of their formation, preconditions and prospects for strengthening in Ukraine are highlighted. The contribution of the National Bank of Ukraine to increasing the level of transparency of lending activities of second-tier banks is investigated.

Forming of readiness for motherhood among female students in the extracurricular process of a higher educational organization

The relevance of the article is due to the existing demographic problems closely related to the transformation of traditional stereotypes of reproductive behavior among modern youth, the changes in the models of traditional family relations and the devaluation of the motherhood value in society. This actualizes the problem of forming readiness for motherhood among girls and young women, using the educational potential of the higher educational organization. The author considers readiness for motherhood as a psychological and pedagogical phenomenon that has complex nature and requires of woman having an appropriate set of special skills and abilities in the field of motherhood and childhood, a firm civil and social position, a formed system of values, attitudes and personal qualities, which implies systematic and pedagogically justified impact. In this regard, emphasis is placed on the need to develop and implement an additional educational program in the extracurricular process aimed at forming a system of ideas among students about the essence of motherhood and maternal functions, obtaining primary skills of upbringing, development and child care, solving socio-economic and legal problems that arise at the same time. Usage of various types and forms of organization of extracurricular activities of female students, methods of active and interactive learning, a specially developed set of tasks, as well as the involvement of specialists from specialized organizations and teachers of higher education organizations in the program implementation allowed to form each of the components of the students' readiness for motherhood and the phenomenon on the integral basis.

Monogenity and Power Integral Bases: Recent Developments

Monogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area. Several of the listed results were presented at a series of online conferences titled “Monogenity and Power Integral Bases”. We also give a collection of the most important methods used in several of these papers. A list of open problems for further research is also given.

Оценка перспектив вовлечения территорий упраздненных поселений в туристско-рекреационное хозяйство (на примере Республики Карелия)

This article emphasizes the relevance of exploring import substitution strategies in the Russian tourism and recreational market. Special attention is given to the need to satisfy the demand for unique travel experiences. As it is necessary to integrate unused territories into the economy, the article proposes to increase the involvement of abandoned settlements in the tourism and recreational sector. To identify the most promising villages, a goal was set to develop and test a scoring scale based on the system of indicators proposed by the authors. The Republic of Karelia was chosen as the research site. Criteria were identified to determine the attractiveness and feasibility of including abandoned settlements in tour itineraries. Based on these criteria, villages such as Keret, Loushki, Pulozero, Pegrema, Kashalilamba, Lagilamba, Kharitonova Gora, Gafostrof Rebolskoy, and Kolodozero were selected. Using the assessment system presented in the article, these villages were assigned points, and the integral indicator was calculated. The results show that Keret, Gafostrof Rebolskoy, Kashalilamba, Kakkarovo, and Pegrema are the most promising ones, which is confirmed by practice: Keret, Gafostrof Rebolskoy, and Pegrema have already been included in tour itineraries. Future research prospects involve improving the presented methodology, as it requires adaptation to factor in individual socio-economic and natural characteristics of other regions. It is also possible to expand the list of factors influencing the attractiveness of abandoned settlements. Theoretical developments in this direction can serve as a basis for the successful integration of abandoned villages in the tourism and recreational market in the Russian North.