Hardy type inequalities for the fractional relativistic operator

<abstract><p>We prove Hardy type inequalities for the fractional relativistic operator by using two different techniques. The first approach goes through trace Hardy inequalities. In order to get the latter, we study the solutions of the associated extension problem. The second develops a non-local version of the ground state representation in the spirit of Frank, Lieb, and Seiringer.</p></abstract>

Laibacher Deutscher after the Congress of Laibach

Behind the scenes of the Congress of Laibach (modern day Ljubljana), a dance form called Deutscher came into existence and for a decade remained, in a specific local version, the most popular dance of bourgeois circles. This paper sheds light on the phenomenon of the Laibacher Deutscher within a broad social and cultural context and political background.

Machine Learning Enables Accurate and Rapid Prediction of Active Molecules Against Breast Cancer Cells

Breast cancer (BC) has surpassed lung cancer as the most frequently occurring cancer, and it is the leading cause of cancer-related death in women. Therefore, there is an urgent need to discover or design new drug candidates for BC treatment. In this study, we first collected a series of structurally diverse datasets consisting of 33,757 active and 21,152 inactive compounds for 13 breast cancer cell lines and one normal breast cell line commonly used in in vitro antiproliferative assays. Predictive models were then developed using five conventional machine learning algorithms, including naïve Bayesian, support vector machine, k-Nearest Neighbors, random forest, and extreme gradient boosting, as well as five deep learning algorithms, including deep neural networks, graph convolutional networks, graph attention network, message passing neural networks, and Attentive FP. A total of 476 single models and 112 fusion models were constructed based on three types of molecular representations including molecular descriptors, fingerprints, and graphs. The evaluation results demonstrate that the best model for each BC cell subtype can achieve high predictive accuracy for the test sets with AUC values of 0.689–0.993. Moreover, important structural fragments related to BC cell inhibition were identified and interpreted. To facilitate the use of the model, an online webserver called ChemBC (http://chembc.idruglab.cn/) and its local version software (https://github.com/idruglab/ChemBC) were developed to predict whether compounds have potential inhibitory activity against BC cells.

The Phenomenon of “Multiple Identity” in Modern Kyrgyz Society

The article considers political processes in the Kyrgyz Republic through the prism of complexly structured identity and historical memory of the Kyrgyz people. Manifestations of retraditionalization of the Kyrgyz social organization are considered as an inevitable consequence of disengagement from the Union center’s control. The author emphasizes multilayered and segmented character of the Kyrgyz political culture that integrates traditionalism and modernization. The formation of multiple identity is characterized as a consequence of objective processes of reformatting the social environment as a result of technological innovations, intensification of intercultural and intercivilizational contacts, increasing mobility of the population. The article shows the fundamental role of the folk epic Manas in formation of national identity with the dominant tendency to strengthen the position of Islam in the multi-layered and syncretic religious practice of the Kyrgyz. The influence of tribal and clan self-identification on the political processes in the country is considered. There are factors that led to differences in the self-identification of urban and rural strata, as well as the Kyrgyz "North" and "South" of the country. The processes of ethno-cultural sovereignization of the titular ethnos, as well as other national groups of Kyrgyzstan are considered. The evolution of the state policy regarding the formation of a common civil identity in Kyrgyzstan, which provided for the implementation of the local version of multiculturalism, involving the protection of the ethno-cultural identity of national minorities, is shown.

Connecting 5d Higgs branches via Fayet-Iliopoulos deformations

We describe how the geometry of the Higgs branch of 5d superconformal field theories is transformed under movement along the extended Coulomb branch. Working directly with the (unitary) magnetic quiver, we demonstrate a correspondence between Fayet-Iliopoulos deformations in 3d and 5d mass deformations. When the Higgs branch has multiple cones, characterised by a collection of magnetic quivers, the mirror map is not globally well-defined, however we are able to utilize the correspondence to establish a local version of mirror symmetry. We give several detailed examples of deformations, including decouplings and weak-coupling limits, in (Dn, Dn) conformal matter theories, TN theory and its parent PN, for which we find new Lagrangian descriptions given by quiver gauge theories with fundamental and anti-symmetric matter.

Development of an instrument to assess early number concept development in four South African languages

A recently published interview-based test, known by its partly German acronym, MARKO-D SA, is introduced in this article by way of a narrative of its development through various cycles of research. The 48-item test, in 4 South African languages, captures number concept development of children in the 6 to 8-year age group. The authors present their argument for the South African versioning and translation of the test for this country, where there is a dearth of suitable assessment instruments for gauging young children’s mathematical concept development. We also present the findings of the research that was conducted to standardise and norm the local version of the test, along with our reasoning about the theoretical strength of the conceptual model that undergirds the test.

Мифологический персонаж (з)мора / мара в традиции Южного Подлясья в польской и общеславянской перспективе

The author analyzes the field materials collected during her expedition to the Southern Podlasie (Łuków-Siedlce-Garwolin region in Poland) in 2017 and sheds light on the local version of the supernatural being under the name “zmora”. In this territory zmora is endowed with a function (not typical in other Polish local traditions) to tangle and braid the horses’ manes. Meanwhile the informants put aside zmora’s traditional function (that is to suffocate a sleeping person) or do not mention it at all. Zmora from Southern Podlasie is regarded in a wider Polish and all-Slavic perspective. Such parameters as the supernatural being’s name, its origin, appearance, behavior, time of the activity, its functions as well as the amulets and preventive measures used against this evil spirit are examined. The author concludes that in the studied Slavic archaic area zmora has partially taken over the functions of the house spirits, that is reflected in the entire fragment of the mythological characters’ system associated linked to the domestic and economic (cattle-breeding) sphere.

Machine learning enables accurate and rapid prediction of active molecules against breast cancer cells

SummaryBreast cancer (BC) has surpassed lung cancer as the most frequently occurring cancer, and it is the leading cause of cancer-related death in women. Therefore, there is an urgent need to discover or design new drug candidates for BC treatment. In this study, we first collected a series of structurally diverse datasets consisting of 33,757 active and 21,152 inactive compounds for 13 breast cancer cell lines and one normal breast cell line commonly used in in vitro antiproliferative assays. Predictive models were then developed using five conventional machine learning algorithms, including naïve Bayesian, support vector machine, k-Nearest Neighbors, random forest, and extreme gradient boosting, as well as five deep learning algorithms, including deep neural networks, graph convolutional networks, graph attention network, message passing neural networks, and Attentive FP. A total of 476 single models and 112 fusion models were constructed based on three types of molecular representations including molecular descriptors, fingerprints, and graphs. The evaluation results demonstrate that the best model for each BC cell subtype can achieve high predictive accuracy for the test sets with AUC values of 0.689–0.993. Moreover, important structural fragments related to BC cell inhibition were identified and interpreted. To facilitate the use of the model, an online webserver called ChemBC and its local version software were developed to predict potential anti-BC agents.AvailabilityChemBC webserver is available at http://chembc.idruglab.cn/ and its local version Python software is maintained at a GitHub repository (https://github.com/idruglab/ChemBC)[email protected] or [email protected] informationSupplementary data are available at Bioinformatics online.

Updating the Belief Promotion Operator

In this note, we introduce the local version of the operator for belief promotion proposed by Schwind et al. We propose a set of postulates and provide a representation theorem that characterizes the proposal. This family of operators is related to belief promotion in the same way that updating is related to revision, and we provide several results that allow us to show this relationship formally. Furthermore, we also show the relationship of the proposed operator with features of credibility-limited revision theory.

HONORING STEPHEN OF PERM IN FOLK TRADITION OF THE NIVSHERA’S KOMI

The article analyzes the local version of veneration of St. Stephen of Perm among the Nivshera’s Komi. The microlocal folklore tradition of the village Nischera (Komi Republic) is geographically far from the place of residence of the first bishop of Perm and the main area (Lower Vychegda and Vym) of the spread of traditions about a religious saint, who was called the “Zyryansky Apostle”. Meanwhile, the chapel (now lost) in honor of the saint and the saved life icon in the small village Rusanovskaya helped preserve the memory of a religious figure in popular culture. The post-temple life of the icon is amazing: relatives of the shrines who saved from death made a vow to hold home services. According to the established model in the Nivshera tradition off-temple services began to be held also before the reproduction of the icon Stefan Perm. The work attempted to compare scenarios and strategies for conducting home worship in two places. To some extent, the future of such practices will depend not only on the capabilities of the guardians of the icon and the presence of successors of this matter, but also on the socio-cultural situation of the village and interaction with the Orthodox Church. To some extent, the future of such practices will depend not only on the capabilities of the guardians of the icon and the presence of successors of this matter, but also on the socio-cultural situation of the village and interaction with the Orthodox Church. The cult veneration of Stefan Perm in the Nivshera folklore tradition is evidenced by recorded oral stories about a saint who visited the Vishera District, climbing a boat along the river, expelled rats for a long time, saved the village from fire, and provides general patronage to the village Rusanovskaya.