Miracle-dz/UniFAR-FTUs huggingface dataset:
The character tables of centralizers in Weyl Group of $E_8$ II

To classify the finite dimensional pointed Hopf algebras with Weyl group $G$ of $E_8$, we obtain the representatives of conjugacy classes of $G$ and all character tables of centralizers of these representatives by means of software GAP. In this paper we only list character table 1-- 28.
Théorie ergodique des fractions rationnelles sur un corps ultramétrique

On donne les premiers éléments pour l’étude des propriétés ergodiques d'une fraction rationnelle à coefficients dans un corps algébriquement clos et complet pour une norme non archimédienne. En particulier, pour une telle fraction rationnelle R on montre l'existence d'une mesure naturelle ρR représentant la distribution asymptotique des préimages itérées de chaque point non exceptionnel de R. On montre que cette mesure est (exponentiellement) mélangeante, et qu'elle satisfait au théorème limite central. De plus, on donne une estimation de l'entropie métrique de cette mesure, et de l'entropie topologique de R, qui permettent de caractériser les fractions rationnelles d'entropie topologique nulle.
Re-examining Jane Jacobs’ doctrine using new urban data in Hong Kong

Jane Jacobs (1961) theorized that four urban form conditions, namely, mixed use, short block, aged buildings and density, are indispensable for the ‘exuberant diversity’ and conducive to, or perhaps even determinant of, the success of a city district. Jacobs’ theory has been used widely as a reference point in case study research and policy and design prescriptions. We found five studies that attempted to test it more formally, using various performance indicators such as mobile phone activities, walking, crime and mortality. Their findings were inconsistent and unable to settle theoretical controversies. Questions remained as what performance indicators are most strongly associated with her urban form conditions? Are these conditions independently associated with desired outcomes or in combination and what are the interaction effects? Our study aimed to test Jacobs’ theory that urban form conditions contribute to the vitality and success of city districts. Jacobs’ urban form conditions were measured using GIS data for each of Hong Kong’s Tertiary Planning Unit. Performance outcomes were gauged using a combination of ‘new urban data’, comprising Twitter activities, sentiment tones and Point-Of-Interest (POI), and ‘traditional data’, comprising walking commute, employment and mortality. Urban context, income and demographic indicators were used as controls in fitting spatial regression models to predict measures of performances based on urban conditions. Results showed that Jacobs’ urban form conditions contribute positively to ‘vitality’ indicators such as the density of tweets, walking trips and POI, but not with ‘failure and success’ indicators such as expressed sentiment on Twitter, employment, or mortality. Out findings suggest that her theory largely hold for Hong Kong, except that dwelling density should be substituted by building density, whilst tall buildings associated positively with desirable outcomes, contrary to Jacobs’ observation in the American context. More generally, we demonstrate how new urban data can be used to evaluate classic planning theories at scale.
Galois objects and cocycle twisting for locally compact quantum groups

In this article, we investigate the notion of a Galois object for a locally compact quantum group M. Such an object consists of a von Neumann algebra N equipped with an ergodic integrable coaction of M on N, such that the crossed product is a type I factor. We show how to construct from such a coaction a new locally compact quantum group P, which we call the reflection of M along N. By way of application, we prove the following statement: any twisting of a locally compact quantum group by a unitary 2-cocycle is again a locally compact quantum group.
Implementation of Clifford gates in the Ising-anyon topological quantum computer

We give a general proof for the existence and realizability of Clifford gates in the Ising topological quantum computer. We show that all quantum gates that can be implemented by braiding of Ising anyons are Clifford gates. We find that the braiding gates for two qubits exhaust the entire two-qubit Clifford group. Analyzing the structure of the Clifford group for $n\ensuremath{\ge}3$ qubits we prove that the image of the braid group is a nontrivial subgroup of the Clifford group so that not all Clifford gates could be implemented by braiding in the Ising topological quantum computation scheme. We also point out which Clifford gates cannot in general be realized by braiding.
Shameless normalization as a result of media control: The case of Austria

Far-right populist parties instrumentalize the media and intervene into processes of mediatization in significantly different ways, depending on socio-political contexts, their position of power, their role in government or opposition and – related to the latter – their specific access to media. In this paper, I focus on one of the many ways propagandistic tools are employed to control the relevant agenda and information being disseminated by both traditional media and online, in other words ‘message control’. Message control illustrates one of many steps of normalization of far-right agenda. The concept of ‘message control’ emerged from the specific propaganda tool developed by the former Austrian Chancellor Sebastian Kurz and his followers and implies launching and thus controlling select information via weekly press conferences, briefings, personal conversations, back-ground conversations (Hintergrundgespräche), and text messages, and to financially subsidize only those media that reported favorably about the activities of Kurz’s government. Thus, a new media logic based on favoritism, nepotism, and clientelism was established and normalized. This stands in contrast to Trumpism, which delegitimized all investigative journalism without explicitly attempting to control it. Former US President Donald Trump constitutes rather a prime example of Löwenthal and Guterman’, as he instrumentalized far-right and extreme-right media channels (such as Breitbart or Fox News) and extensively used Twitter to spread systematic disinformation.
THE INFLUENCE OF BOARD CHARACTERISTICS ON SUSTAINABILITY

This study seeks to investigate the influence of board characteristics on the sustainability reporting of selected industries listed on Bursa Malaysia. The board of directors is claimed to be the most important person and aspects of corporate governance systems that may influence the company’s decision to disclose more or less their sustainability reporting to the society. This study makes a contribution to research in this area as it highlights whether governance mechanisms are related to an increase the level of sustainability reporting in the annual reports. A sample of 70 listed companies was drawn from the Bursa Malaysia using systematic random sampling method. Data were collected from annual reports from 2012 and 2013. Analysis shows that only two variables influence the level of sustainability reporting, namely board size and proportion of independence of directors, Dual leadership and type of industry insignificantly influence the level of sustainability reporting disclosure. This study also found that sustainability reporting is likely to be influenced by profitability and firm growth.
IMPACT KNOWLEDGE MANAGEMENT ON INNOVATION. FIELD STUDY ON TOURIST AGENCIES IN IRBID CITY, JORD AN

This article is dealt with investigate the impact k nowledge management process, knowledge creation, kn owledge sharing, knowledge application and knowledge storage, an inn ovation. Accordingly, a questionnaire-based survey was designed to test the aforementioned model based on dataset of 122 employ ees’ from the agency traveling in Jordan. Following the analytical descriptive methodanalyzed the relationship between the indepen dent variable (knowledge management process) аnd the dependent variable (innovation), aims to know the effect of the indepe nd nt variable on the dependent variable. In order, to achieve the objective of the study, a 24-question questionnaire was developed to collect primary information from the study communi ty, and then analyzed using SPSS V 22, multiple regression were conducted to te st th article`s hypotheses. The results indicated that knowledge process (knowl edge creation, knowledge sharing, and knowledge sto rage) positively and significantly affect innovation. However, knowl edge application insignificantly effect in innovati on, and these results are in agree with the results of the previous literature. The results have enormous implication for the agenc y traveling in Jordan. The study provided a group of recommendations to speed up ado ting the knowledge management in agency traveling in Jordan, the results of this study suggest that firms can be better off, in terms of innovation performance, if they are based on the incentive / compensation system for knowledge activities. When traditional e conomic figures are replaced by indicators such as knowledge creation, participation and utilization, staff will most likely work w ith these activities and thereby improve the perfor mance of the company's full innovation.
Transforming growth factor-b1 inhibits luteinization and promotes apoptosis in bovine granulosa cells

We have previously shown that TGFB1 inhibits estradiol (E2) and progesterone (P4) biosynthesis in FSH-stimulated bovine granulosa cells by selective inhibition of steroidogenic enzymes. The objective of this study was to assess the effects of TGFB1 on E2 and P4 steroidogenesis in bovine granulosa cells cultured in the absence of FSH and to measure the effects of TGFB1 on cell proliferation and apoptosis in the presence and absence of FSH. Bovine granulosa cells from 2 to 5 mm follicles were cultured in serum-free medium for 2–6 days. In the absence of FSH, the secretion of P4 increased with time in culture (P! 0.05). Addition of TGFB1 for 6 days decreased P4 secretion and mRNA levels of the P4 synthesis-associated genes STAR, CYP11A1, HSD3B1, and GSTA (P! 0.05). In the absence of FSH, the secretion of E2 decreased and addition of TGFB1 for 6 days partially reversed this decline and stimulated E2 biosynthesis, CYP19A1 and HSD17B1 mRNA levels and CYP19A1 activity (P! 0.05). Conversely, TGFB1 did not affect HSD17B7 expression and HSD17B-reducing activity. TGFB1 decreased the proportion of cells in the G0/G1 and SCG2/M phases in FSHstimulated and unstimulated granulosa cells (P! 0.05). Furthermore, in the presence or absence of FSH, TGFB1 increased the proportion of cells in apoptosis measured by propidium iodide staining and flow cytometry and confirmed by increased levels of cleaved caspase-3 (P! 0.05). Our results therefore indicate that TGFB1 inhibits luteinization in cultured bovine granulosa cells while maintaining an estrogenic phenotype, and this effect was associated with increased apoptosis. Reproduction (2009) 137 969–977
ON THE AMENABILITY OF PARTIAL AND ENVELOPING ACTIONS

We prove that a partial action is amenable if and only if so is its Morita enveloping action. As applications we prove that any partial representation of a discrete group is positive definite, and we extend a result of Zeller-Meier concerning the amenability of discrete groups and the existence of invariant states to partial actions.
Pictorial Databases for the Assessment of Affective Flexibility: A Systematic Review

The present paper attempted to analyze the existing task-based measures of affective flexibility and to provide a strong database for further development and validation of culturally relevant task-based measures of affective flexibility. The Articles in which affective tasks were developed are included in this review. Only those articles which had been transcribed in English and published in peer-reviewed journals from the year 1995-to 2021, with a sample of youth (15-35 years) were included. Key terms were effective flexibility, emotional flexibility, assessment of affective flexibility, and measures of affective flexibility. A systematic search of multiple computerized databases including Science Direct, Pub Med, Google scholar, and Psyc INFO was accomplished to find out the relevant articles. Both keyword search and citation search was performed for the current review. A total of 116 relevant articles were initially evaluated, 101 of them were excluded due to not meeting the inclusion criteria, and finally, 15 articles were retained. Analysis revealed that utilization, psychometric properties, and measurement accuracy were higher for several databases. Most of the studies have used standardized picture databases as stimulus material using a switching paradigm predominately. Correlation and t-tests were predominately performed for statistical analyses of the data. Strengths, limitations, and implications of the databases for affective flexibility had also been discussed.
The fit of dividends on investment decisions in the Vietnam capital market

This paper explores the effect of dividends on the investment decisions of listed firms in Vietnam from 2010 to 2020. The study employs quantitative research methods to demonstrate a significant effect of dividends on investment decisions. In addition, the phenomena involving endogeneity, and over-identifying restrictions are tested to ensure the reliability of the findings. The dividend-investment relationship is explained based on some theories, including the bird-in-the-hand theory, the asymmetric information theory, and the agency theory. In particular, the study focuses on an emerging market under transparent information issues, as in Vietnam.
THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION

Abstract The Minkowski question mark function ? (x) arises as a real distribution of rationals in the Farey tree. We examine the generating function of moments of ? (x). It appears that the generating function is a direct dyadic analogue of period functions for Maass wave forms and it is defined in the cut plane \ (1, ∞). The exponential generating function satisfies an integral equation with kernel being the Bessel function. The solution of this integral equation leads to the definition of dyadic eigenfunctions, arising from a certain Hilbert–Schmidt operator. Finally, we describe p-adic distribution of rationals in the Stern–Brocot tree. Surprisingly, the Eisenstein series G2(z) does manifest in both real and p-adic cases.
Combining dense elements with attention mechanisms for 3D radiotherapy dose prediction on head and neck cancers

Abstract Purpose External radiation therapy planning is a highly complex and tedious process as it involves treating large target volumes, prescribing several levels of doses, as well as avoiding irradiating critical structures such as organs at risk close to the tumor target. This requires highly trained dosimetrists and physicists to generate a personalized plan and adapt it as treatment evolves, thus affecting the overall tumor control and patient outcomes. Our aim is to achieve accurate dose predictions for head and neck (H&N) cancer patients on a challenging in‐house dataset that reflects realistic variability and to further compare and validate the method on a public dataset. Methods We propose a three‐dimensional (3D) deep neural network that combines a hierarchically dense architecture with an attention U‐net (HDA U‐net). We investigate a domain knowledge objective, incorporating a weighted mean squared error (MSE) with a dose‐volume histogram (DVH) loss function. The proposed HDA U‐net using the MSE‐DVH loss function is compared with two state‐of‐the‐art U‐net variants on two radiotherapy datasets of H&N cases. These include reference dose plans, computed tomography (CT) information, organs at risk (OARs), and planning target volume (PTV) delineations. All models were evaluated using coverage, homogeneity, and conformity metrics as well as mean dose error and DVH curves. Results Overall, the proposed architecture outperformed the comparative state‐of‐the‐art methods, reaching 0.95 (0.98) on D95 coverage, 1.06 (1.07) on the maximum dose value, 0.10 (0.08) on homogeneity, 0.53 (0.79) on conformity index, and attaining the lowest mean dose error on PTVs of 1.7% (1.4%) for the in‐house (public) dataset. The improvements are statistically significant (p<0.05) for the homogeneity and maximum dose value compared with the closest baseline. All models offer a near real‐time prediction, measured between 0.43 and 0.88 s per volume. Conclusion The proposed method achieved similar performance on both realistic in‐house data and public data compared to the attention U‐net with a DVH loss, and outperformed other methods such as HD U‐net and HDA U‐net with standard MSE losses. The use of the DVH objective for training showed consistent improvements to the baselines on most metrics, supporting its added benefit in H&N cancer cases. The quick prediction time of the proposed method allows for real‐time applications, providing physicians a method to generate an objective end goal for the dosimetrist to use as reference for planning. This could considerably reduce the number of iterations between the two expert physicians thus reducing the overall treatment planning time.
Gravity assisted solution of the mass gap problem for pure Yang-Mills fields

In 1979 Louis Witten demonstrated that stationary axially symmetric Einstein field equations and those for static axially symmetric self-dual SU(2) gauge fields can both be reduced to the same (Ernst) equation. In this paper we use this result as point of departure to prove the existence of the mass gap for quantum source-free Yang-Mills (Y-M) fields. The proof is facilitated by results of our recently published paper, JGP 59 (2009) 600-619. Since both pure gravity, the Einstein-Maxwell and pure Y-M fields are described for axially symmetric configurations by the Ernst equation classically, their quantum descriptions are likely to be interrelated. Correctness of this conjecture is successfully checked by reproducing (by different methods) results of Korotkin and Nicolai, Nucl.Phys.B475 (1996) 397-439, on dimensionally reduced quantum gravity. Consequently, numerous new results supporting the Faddeev-Skyrme (F-S) -type models are obtained. We found that the F-S-like model is best suited for description of electroweak interactions while strong interactions require extension of Witten’s results to the SU(3) gauge group. Such an extension is nontrivial. It is linked with the symmetry group SU(3)×SU(2)×U(1) of the Standard Model. This result is quite rigid and should be taken into account in development of all grand unified theories. Also, the alternative (to the F-S-like) model emerges as by-product of such an extension. Both models are related to each other via known symmetry transformation. Both models possess gap in their excitation spectrum and are capable of producing knotted/linked configurations of gauge/gravity fields. In addition, the paper discusses relevance of the obtained results to heterotic strings and to scattering processes involving topology change. It ends with discussion about usefulness of this information for searches of Higgs boson.
Analytical Techniques Applied to the Study of Industrial Archaeology Heritage: The Case of Plaiko Zubixe Footbridge

In this work, micro-Raman spectroscopy and micro-energy-dispersive X-ray fluorescence spectroscopy (µ-EDXRF) were applied on microsamples taken from the Plaiko Zubixe footbridge (1927) located in Ondarroa (Basque Country, Spain) in order to investigate the original paint coating and make an evaluation of the conservation state before its restoration. Elemental and molecular images were acquired for the study of the compounds distribution. Some modern pigments such as phthalocyanine blue and green pigments, minium, calcium carbonate, Prussian blue, and hematite were identified. Barium sulfate and titanium dioxide were recognized as opacifier agents. Thanks to the study of the stratigraphies, it has been possible to determine the original paint layer, which includes lead white, ultramarine blue, carbon black, and barium sulfate. In addition, colorimetric analyses made it possible to know the CIELab values of the original layer in order to reproduce the original colour during the planned restoration work. The massive presence of chlorine detected by µ-EDXRF and the corrosion products of the rust layer, in particular akaganeite and hematite, highlighted the atmospheric impact in the conservation of the bridge because they were due to the effect of both marine aerosol and to the presence of acidic components in the environment coming from anthropogenic activity. This work demonstrated the usefulness of a scientific approach for the study of industrial archaeology heritage with the aim to contribute to its conservation and restoration.
Toward mobile learning at Jordanian higher education institutions

Globally, teaching methods and tools in higher education institutions (HEIs) have changed nowadays. Many attempts have been made in Jordanian higher education institutions (JHEIs) in order to improve and continuity of the educational process, especially during coronavirus pandemic. The outbreak of this virus has become a major disruption where all Jordanian universities cancelled classes and moved toward online learning, and mobile learning (ML) has appeared as one of the possible solutions. ML is in its early stages at JHEIs, and it is academically unexplored enough. So, this study explores the ML experience at JHEIs during coronavirus disease 2019 (COVID-19) crisis. The data were collected using a web survey where 272 students in JHEIs participated. The results revealed that the smartphone is the most widely used mobile device for ML ML is easy to use, ML increases the interaction between the instructor and the students and among the students themselves, ML has a positive impact on students’ performance, and also students are willing to use ML in the future. The outcomes of the study support policy makers at JHEIs to make educational decisions relating ML phenomenon.
A biharmonic equation with singular nonlinearity

Abstract We study the biharmonic equation Δ2u = u−α, 0 < α < 1, in a smooth and bounded domain Ω ⊂ ℝn, n ≥ 2, subject to Dirichlet boundary conditions. Under some suitable assumptions on Ω related to the positivity of the Green function for the biharmonic operator, we prove the existence and uniqueness of a solution.
Normal Restriction in Finite Groups

A subgroup H of a finite group G is called an NR − subgroup (Normal Restriction) if whenever K ⊴ H, then K G ∩ H = K, where K G is the normal closure of K in G. In this article, we will prove some sufficient conditions for the solvability of finite groups which possess many NR-subgroups. We also prove a criterion for the existence of a normal p-complement in finite groups.
Lower class people suffered more (but perceived fewer risk disadvantages) during the COVID‐19 pandemic

Does COVID‐19 affect people of all classes equally? In the current research, we focus on the social issue of risk inequality during the early stages of the COVID‐19 pandemic. Using a nationwide survey conducted in China (N = 1,137), we predicted and found that compared to higher‐class individuals, lower‐class participants reported a stronger decline in self‐rated health as well as economic well‐being due to the COVID‐19 outbreak. At the same time, we examined participants' beliefs regarding the distribution of risks. The results demonstrated that although lower‐class individuals were facing higher risks, they expressed lesser belief in such a risk inequality than their higher‐class counterparts. This tendency was partly mediated by their stronger endorsement of system‐justifying beliefs. The findings provide novel evidence of the misperception of risk inequality among the disadvantaged in the context of COVID‐19. Implications for science and policy are discussed.