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The emergence of new variants of SARS-CoV-2 associated with varying infectivity, pathogenicity, diagnosis, and effectiveness against treatments challenged the overall management of the COVID-19 pandemic. Wastewater surveillance (WWS), i.e., monitoring COVID-19 infections in communities through detecting viruses in wastewater, was applied to track the emergence and spread of SARS-CoV-2 variants globally. However, there is a lack of comprehensive understanding of the use and effectiveness of WWS for new SARS-CoV-2 variants. Here we systematically reviewed published articles reporting monitoring of different SARS-CoV-2 variants in wastewater by following the PRISMA guidelines and provided the current state of the art of this study area. A total of 80 WWS studies were found that reported different monitoring variants of SARS-CoV-2 until November 2022. Most of these studies (66 out of the total 80, 82.5%) were conducted in Europe and North America, i.e., resource-rich countries. There was a high variation in WWS sampling strategy around the world, with composite sampling (50/66 total studies, 76%) as the primary method in resource-rich countries. In contrast, grab sampling was more common (8/14 total studies, 57%) in resource-limited countries. Among detection methods, the reverse transcriptase polymerase chain reaction (RT-PCR)-based sequencing method and quantitative RT-PCR method were commonly used for monitoring SARS-CoV-2 variants in wastewater. Among different variants, the B1.1.7 (Alpha) variant that appeared earlier in the pandemic was the most reported (48/80 total studies), followed by B.1.617.2 (Delta), B.1.351 (Beta), P.1 (Gamma), and others in wastewater. All variants reported in WWS studies followed the same pattern as the clinical reporting within the same timeline, demonstrating that WWS tracked all variants in a timely way when the variants emerged. Thus, wastewater monitoring may be utilized to identify the presence or absence of SARS-CoV-2 and follow the development and transmission of existing and emerging variants. Routine wastewater monitoring is a powerful infectious disease surveillance tool when implemented globally.

Relevance.There is no predominant agent in the etiological structure of hemorrhagic vasculitis; instead, several factors play a role, including the activation of herpesvirus infections in the disease development. The objective of the study is determined by contradictory data and a lack of coordinated agreement regarding the etiology of hemorrhagic vasculitis. Objective: To identify the role of herpesvirus infection in the etiology of hemorrhagic vasculitis in children. Materials and methods. A cross-sectional study was conducted for 25 children aged from 2 months to 18 years with hemorrhagic vasculitis, who were on inpatient treatment at Medical Center "Children's Hospital" in Aktobe. All children underwent an enzyme-linked immunosorbent assay (ELISA) for herpesviruses: herpes simplex virus types I, II, (HSV-I, II), Epstein - Barr virus (EBV), cytomegalovirus (CMV), human herpesvirus type 6 (HHV – 6). The received data is processed by descriptive statistics, STATISTICS 10.0. Results The herpesvirus infection was confirmed in 100% of the examined children, with herpes simplex virus I and II types being discovered in 25.9% of cases, Epstein-Barr virus in 28.46% of cases, cytomegalovirus (CMV) in 29.6% of cases, and human herpesvirus 6 (HHV-6) in 16% of cases. Moreover, they did not occur as mono-infections but rather in conjunction with the cytomegalovirus: CMV+ HSV-I, II (16 %); CMV+ EBV (8%); CMV+ HHV-6 (4%); CMV+ EBV+ HHV-6 (32%); CMV+ HSV-I, II + EBV+ HHV-6 (40%). A low concentration of herpesvirus antibodies in the blood of patients with hemorrhagic vasculitis was detected by ELISA anti-CMV IgG (11.62 U / ml), anti-HHV-6 IgG (6.82 U/ml), which indicates unstable immunity, the risk of activation of viral infection and recurrent hemorrhagic vasculitis. Conclusion.According to the study, herpesvirus infections can lead to hemorrhagic vasculitis in children. If vasculitis recurs, it is advised to check for the presence of antibodies to herpesvirus antigens; if so, an infectious neurologist's consultation and etiotropic antiviral therapy are advised., Актуальность. В этиологической структуре геморрагического васкулита нет преобладания какого-либо одного агента, а играет роль совокупность нескольких факторов, в том числе активация герпесвирусных инфекций в развитии болезни. Противоречивые данные, отсутствие единого мнения об этиологии геморрагического васкулита определяет цель исследования. Цель. Определить роль герпесвирусной инфекции в этиологии геморрагического васкулита у детей. Материалы и методы. Одномоментное поперечное исследование проведено 25 детям с диагнозом геморрагический васкулит в возрасте от 2 мес. до 18 лет, которые находились на стационарном лечении в Актюбинском Медицинском Центре «Детском стационаре» г. Актобе. Всем детям проводился иммуноферментный анализ (ИФА) на герпесвирусы: вирус простого герпеса I, II-го типов, (HSV- I, II), вирус Эпштейна – Барр (EBV), цитомегаловирус (CMV), вирус герпеса человека 6-го типа (HHV-6). Полученные данные обработаны описательной статистикой, СТАТИСТИКА 10.0. Результаты. Герпесвирусная инфекция у обследуемых детей подтверждена в 100% случаев, из них вирус простого герпеса І, ІІ-го типов выявлен в 25,9%, вирус Эпштейна – Барр – 28,46%, цитомегаловирус (CMV) – 29,6%, вирус герпеса человека 6-го типа (HHV-6) – 16% случаев. И они не встречались как моноинфекции, а в виде ассоциации с цитомегаловирусом: CMV+ HSV-I, II (16 %); CMV+ EBV (8%); CMV+ HHV-6 (4%); CMV+ EBV+ HHV-6 (32%); CMV+ HSV-I, II + EBV+ HHV-6 (40 %). Выявлено малая концентрация антител герпесвирусов в крови больных с геморрагическим васкулитом методом ИФА анти-CMV IgG (11,62 ЕД/мл), анти-HHV-6 IgG (6,82 ЕД/мл), что свидетельствует о неустойчивом иммунитете, риске активации вирусной инфекции и рецидивирующим течением геморрагического васкулита. Заключение. Исследование показало роль герпесвирусной инфекций в развитии геморрагического васкулита у детей и при рецидивирующем васкулите рекомендуется обследование на наличие антител на антигены герпесвирусов и при их положительном результате рекомендуется консультация инфекциониста о решении этиотропной противовирусной терапии., Өзектілігі. Геморрагиялық васкулиттің этиологиялық құрылымында бір агент басым болмайды, бірақ бірнеше факторлардың жиынтығы, соның ішінде аурудың дамуындағы герпесвирустық инфекциялардың белсендірілуі маңызды рөл атарады. Қарама-қайшы дәлелдер, геморрагиялық васкулиттің этиологиясы туралы бірдей тұжырымның болмауы зерттеу мақсатын анықтайды. Мақсаты. Балалардағы геморрагиялық васкулиттің этиологиясындағы герпесвирустық инфекцияның рөлін анықтау. Материалдар мен әдістер. Ақтөбе қаласының Ақтөбе Медициналық орталығы Балалар стационарында" геморрагиялық васкулитпен стационарлық ем қабылдаған 2айдан 18 жасқа дейінгі 25 балаға бір мезгілде көлденең зерттеу жүргізілді. Барлық балаларға герпесвирустарға иммуноферменттік талдау (ИФА) жүргізілді: I, II типті қарапайым герпес вирусы, (HSV-I, II), Эпштейн - Барр вирусы (EBV), цитомегаловирус (CMV), 6 типті адамның герпес вирусы (HHV–6). Алынған мәліметтер сипаттамалық статистикамен өңделді, СТАТИСТИКА 10.0. Нәтижелері. Зерттелеген балалардағы герпесвирустық инфекция 100% жағдайда расталды, оның ішінде І, ІІ типті қарапайым герпес вирусы 25,9%, Эпштейн – Барр вирусы – 28,46%, цитомегаловирус (CMV) – 29,6%, 6 типті (HHV-6) адамның герпес вирусы -16% жағдайлар анықталды. Олар моноинфекция ретінде емес, цитомегаловируспен байланыс ретінде пайда болды: CMV+ HSV-I, II (16 %); CMV+ EBV (8%); CMV+ HHV-6 (4%); CMV+ EBV+ HHV-6 (32%); CMV+ HSV-I, II + EBV+ HHV-6 (40 %).Геморрагиялық васкулитпен ауыратын науқастардың қанында герпесвирус антиденелерінің төмен концентрациясы анти-CMV IgG (11,62 бірл/мл), анти-HHV-6 IgG (6,82 бірл/мл) ИФА әдісімен анықталды, бұл тұрақсыз иммунитетті, вирустық инфекцияны белсендіру қаупін және геморрагиялық васкулиттің қайталанатын ағымын көрсетеді. Қорытынды. Зерттеу балалардағы геморрагиялық васкулиттің дамуындағы герпесвирустық инфекциялардың рөлін көрсетті және қайталанатын васкулит кезінде герпесвирус антигендеріне антиденелердің болуын тексеру ұсынылады және олардың оң нәтижесі болған кезде этиотропты вирусқа қарсы терапияны шешу үшін инфекционистпен кеңес жүргізу ұсынылады., Наука и здравоохранение, Выпуск 2 (25) 2023, Pages 160-165

Allogeneic haematopoietic cell transplantation (allo-HCT) recipients show impaired antibody (Ab) response to a standard two-dose vaccination against severe acute respiratory syndrome coronavirus-2 and currently a third dose is recommended as part of the primary vaccination regimen. By assessing Ab titres 1 month after a third mRNA vaccine dose in 74 allo-HCT recipients we show sufficient neutralisation activity in 77% of the patients. Discontinuation of immunosuppression before the third vaccine led to serological responses in 50% of low responders to two vaccinations. Identifying factors that might contribute to better vaccine responses in allo-HCT recipients is critical to optimise current vaccination strategies.

Fluid dynamical simulations are often performed using cheap macroscopic models like the Euler equations. For rarefied gases under near-equilibrium conditions, however, macroscopic models are not sufficiently accurate and a simulation using more accurate microscopic models is often expensive. In this paper, we introduce a hierarchical micro-macro acceleration based on moment models that combines the speed of macroscopic models and the accuracy of microscopic models. The hierarchical micro-macro acceleration is based on a flexible four step procedure including a micro step, restriction step, macro step, and matching step. We derive several new micro-macro methods from that and compare to existing methods. In 1D and 2D test cases, the new methods achieve high accuracy and a large speedup.

Coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), continues to spread globally despite the worldwide implementation of preventive measures to combat the disease. Although most COVID-19 cases are characterised by a mild, self-limiting disease course, a considerable subset of patients develop a more severe condition, varying from pneumonia and acute respiratory distress syndrome (ARDS) to multi-organ failure (MOF). Progression of COVID-19 is thought to occur as a result of a complex interplay between multiple pathophysiological mechanisms, all of which may orchestrate SARS-CoV-2 infection and contribute to organ-specific tissue damage. In this respect, dissecting currently available knowledge of COVID-19 immunopathogenesis is crucially important, not only to improve our understanding of its pathophysiology but also to fuel the rationale of both novel and repurposed treatment modalities. Various immune-mediated pathways during SARS-CoV-2 infection are relevant in this context, which relate to innate immunity, adaptive immunity, and autoimmunity. Pathological findings in tissue specimens of patients with COVID-19 provide valuable information with regard to our understanding of pathophysiology as well as the development of evidence-based treatment regimens. This review provides an updated overview of the main pathological changes observed in COVID-19 within the most commonly affected organ systems, with special emphasis on immunopathology. Current management strategies for COVID-19 include supportive care and the use of repurposed or symptomatic drugs, such as dexamethasone, remdesivir, and anticoagulants. Ultimately, prevention is key to combat COVID-19, and this requires appropriate measures to attenuate its spread and, above all, the development and implementation of effective vaccines. (c) 2021 The Authors. The Journal of Pathology published by John Wiley & Sons, Ltd. on behalf of The Pathological Society of Great Britain and Ireland.

Contains fulltext : 234014.pdf (Publisher’s version ) (Open Access) Coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), continues to spread globally despite the worldwide implementation of preventive measures to combat the disease. Although most COVID-19 cases are characterised by a mild, self-limiting disease course, a considerable subset of patients develop a more severe condition, varying from pneumonia and acute respiratory distress syndrome (ARDS) to multi-organ failure (MOF). Progression of COVID-19 is thought to occur as a result of a complex interplay between multiple pathophysiological mechanisms, all of which may orchestrate SARS-CoV-2 infection and contribute to organ-specific tissue damage. In this respect, dissecting currently available knowledge of COVID-19 immunopathogenesis is crucially important, not only to improve our understanding of its pathophysiology but also to fuel the rationale of both novel and repurposed treatment modalities. Various immune-mediated pathways during SARS-CoV-2 infection are relevant in this context, which relate to innate immunity, adaptive immunity, and autoimmunity. Pathological findings in tissue specimens of patients with COVID-19 provide valuable information with regard to our understanding of pathophysiology as well as the development of evidence-based treatment regimens. This review provides an updated overview of the main pathological changes observed in COVID-19 within the most commonly affected organ systems, with special emphasis on immunopathology. Current management strategies for COVID-19 include supportive care and the use of repurposed or symptomatic drugs, such as dexamethasone, remdesivir, and anticoagulants. Ultimately, prevention is key to combat COVID-19, and this requires appropriate measures to attenuate its spread and, above all, the development and implementation of effective vaccines. © 2021 The Authors. The Journal of Pathology published by John Wiley & Sons, Ltd. on behalf of The Pathological Society of Great Britain and Ireland.

International audience; We show that the (symmetry-reduced) gravitational sectors describing i) the flat FRLW cosmology filled with a massless scalar field and ii) the Schwarzschild black hole mechanics both admit the two dimensional centrally extended Schrödinger group as a dynamical symmetry, a symmetry shared by the compressible Navier-Stokes equation. To this end, we use the Eisenhart-Duval (ED) lift method to identify the Schrödinger observables. The Casimirs of the observables algebra coincide respectively with the conserved kinetic energy of the scalar field, for cosmology, and with the mass of the black hole, for the Schwarzschild mechanics. Moreover, in both models, the central extension is found to encode the ratio between the IR and UV scales of the gravitational systems. We pursue this analysis by comparing the ED method to the superspace approach and demonstrate their complementarity. We use the superspace approach to show that these two models possess also an infinite dimensional symmetry whose conserved charges organize in two copies of a Witt algebra. Finally, we consider the anisotropic Bianchi I dynamics and show that it admits a dynamical symmetry under the SO$(4,2)$ conformal group, within which one can identify another Schrödinger algebra of observables. These new symmetries provide a new way to algebraically characterize these homogeneous gravitational sectors, to guide their quantization or emergence from quantum gravity models, and they suggest new dictionaries with non-linear Schrödinger systems and fluid mechanics.

We formally implement the smallest three-dimensional projective space PG(3,2) in the Coq proof assistant. This projective space features 15 points and 35 lines, related by an incidence relation. We define points and lines as two plain datatypes (one with 15 constructors for points, and one with 35 constructors for lines) and the incidence relation as a boolean function, instead of using the well-known coordinate-based approach relying on GF(2)⁴. We prove that this implementation actually verifies all the usual properties of three-dimensional projective spaces. We then use an oracle to compute some characteristic subsets of objects of PG(3,2), namely spreads and packings. We formally verify that these computed objects exactly correspond to the spreads and packings of PG(3,2). For spreads, this means identifying 56 specific sets of 5 lines among 360 360 (= 15× 14× 13× 12× 11) possible ones. We then classify them, showing that the 56 spreads of PG(3,2) are all isomorphic whereas the 240 packings of PG(3,2) can be classified into two distinct classes of 120 elements. Proving these results requires partially automating the generation of some large specification files as well as some even larger proof scripts. Overall, this work can be viewed as an example of a large-scale combination of interactive and automated specifications and proofs. It is also a first step towards formalizing projective spaces of higher dimension, e.g. PG(4,2), or larger order, e.g. PG(3,3)., LIPIcs, Vol. 237, 13th International Conference on Interactive Theorem Proving (ITP 2022), pages 25:1-25:17

Context One risk factor for severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection is postulated to be vitamin D deficiency. To better understand the role of vitamin D deficiency in the disease course of COVID-19, we undertook a retrospective case-control study in North West England. Objective To examine whether hospitalization with COVID-19 is more prevalent in individuals with lower vitamin D levels. Methods The study included individuals with test results for serum 25-hydroxyvitamin D (25[OH]D) between April 1, 2020, and January 29, 2021, from 2 districts in North West England. The last 25(OH)D level in the previous 12 months was categorized as “deficient” if less than 25 nmol/L and “insufficient” if 25 to 50 nmol/L. Results The study included 80 670 participants. Of these, 1808 were admitted to the hospital with COVID-19, of whom 670 died. In a primary cohort, median serum 25(OH)D in nonhospitalized participants with COVID-19 was 50.0 nmol/L (interquartile range [IQR], 34.0-66.7) vs 35.0 nmol/L (IQR, 21.0-57.0) in those admitted with COVID-19 (P Conclusion Vitamin D deficiency is associated with higher risk of COVID-19 hospitalization. Widespread measurement of serum 25(OH)D and treatment of insufficiency or deficiency may reduce this risk.

We review the construction of ("free") elementary systems in de Sitter (dS) spacetime, in the Wigner sense, as associated with unitary irreducible representations (UIR's) of the dS (relativity) group. This study emphasizes the conceptual issues arising in the formulation of such systems and discusses known results in a mathematically rigorous way. Particular attention is paid to: "smooth" transition from classical to quantum theory; physical content under vanishing curvature, from the point of view of a local ("tangent") Minkowskian observer; and thermal interpretation (on the quantum level), in the sense of the Gibbons-Hawking temperature. We review three decompositions of the dS group physically relevant for the description of dS spacetime and classical phase spaces of elementary systems living on it. We review the construction of (projective) dS UIR's issued from these group decompositions. (Projective) Hilbert spaces carrying the UIR's (in some restricted sense) identify quantum ("one-particle") states spaces of dS elementary systems. Adopting a well-established Fock procedure, based on the Wightman-G\"{a}rding axioms and on analyticity requirements in the complexified Riemannian manifold, we proceed with a consistent quantum field theory (QFT) formulation of elementary systems in dS spacetime. This dS QFT formulation closely parallels the corresponding Minkowskian one, while the usual spectral condition is replaced by a certain geometric Kubo-Martin-Schwinger (KMS) condition equivalent to a precise thermal manifestation of the associated "vacuum" states. We end our study by reviewing a consistent and univocal definition of mass in dS relativity. This definition, presented in terms of invariant parameters characterizing the dS UIR's, accurately gives sense to terms like "massive" and "massless" fields in dS relativity according to their Minkowskian counterparts, yielded by the group contraction procedures., Comment: 142 pages and 14 figures. This manuscript is a preliminary version of a book/monograph to be published by Springer Cham (see https://link.springer.com/book/9783031160448). Book DOI: 10.1007/978-3-031-16045-5

This writing seeks to describle the thought Elizabeth Macedo in texts referrings to the National Curriculum Common Core (BNCC). In it I will weave interpretations on the following texts: 1) “National Curriculum Common Core: new forms of sociability producing meanings for education”, (MACEDO, 2014); 2) " National Curriculum Common Core: the false opposition between knowledge to do something and knowledge itself”, (MACEDO, 2016); 3) “The conservative demands of the partyless school movement and the National Curriculum Common Core”, (MACEDO, 2017); 4) “‘The base is the base’. And what is the curriculum?”, (MACEDO, 2018); e 5) “Making the basis become reality: competence and the germ of comparison”, (MACEDO, 2019). What I seek starting in the thinking Macedo, it is to situate the political agents that have acted in the attempt to hegemonization of a base on the pretext of more quality in education and social justice. The central point is to think, since the base has been implemented, her senses, and how the researcher's writings unfolded between the years 2014 to 2019 in an attempt to present the signifiers to the BNCC., Este texto busca hacer una reseña del pensamiento de Elizabeth Macedo en textos referentes a la Base Nacional Común Curricular (BNCC). En él iré hacer interpretaciones sobre los siguientes textos: 1) “Base nacional común curricular: nuevas formas de sociabilidad que producen significados para la educación”, (MACEDO, 2014); 2) “Base nacional común curricular: la falsa oposición entre el conocimiento para hacer algo y el conocimiento en si mismo”, (MACEDO, 2016); 3) “Las demandas conservadoras del movimiento escuela sin partido y la base nacional común curricular”, (MACEDO, 2017); 4) “'La base es la base'. ¿Y qué es el currículum?”, (MACEDO, 2018); y 5) “Haciendo la base tornarse realidad: las competencias y el germen de la comparación”, (MACEDO, 2019). Lo que busco a partir del pensamiento de Macedo es situar a los agentes políticos que vienen trabajando en el intento de hegemonizar una base con el pretexto de más calidad en la educación y justicia social. El punto central es pensar, desde que se implementó la base, sus significados, y cómo se fueron desarrollando los escritos de la investigadora entre los años 2014 a 2019 en un intento de presentar los significantes a la BNCC., Esse escrito busca resenhar o pensamento de Elizabeth Macedo em textos referentes a Base Nacional Comum Curricular (BNCC). Nele irei tecer interpretações sobre os seguintes textos: 1) “Base nacional curricular comum: novas formas de sociabilidade produzindo sentidos para educação”, (MACEDO, 2014); 2) “Base nacional curricular comum: a falsa oposição entre conhecimento para fazer algo e conhecimento em si”, (MACEDO, 2016); 3) “As demandas conservadoras do movimento escola sem partido e a Base Nacional Curricular Comum”, (MACEDO, 2017); 4) “‘A base é a base’. E o currículo o que é?”, (MACEDO, 2018); e 5) “Fazendo a base virar realidade: competências e o germe da comparação”, (MACEDO, 2019). O que busco a partir do pensamento de Macedo, é situar os agentes políticos que têm atuado na tentativa de hegemonização de uma base sobre o pretexto de mais qualidade na educação e justiça social. O ponto central é pensar, já que a base foi implementada, seus sentidos, e como os escritos da pesquisadora foram se desdobrando entre os anos de 2014 a 2019 na tentativa de apresentar os significantes à BNCC.

International audience; We build upon previous investigation of the one-dimensional conformal symmetry of the Friedman-Lemaître-Robertson-Walker (FLRW) cosmology of a free scalar field and make it explicit through a reformulation of the theory at the classical level in terms of a manifestly SL(2,R)-invariant action principle. The new tool is a canonical transformation of the cosmological phase space to write it in terms of a spinor, i.e., a pair of complex variables that transform under the fundamental representation of SU(1,1)∼SL(2,R). The resulting FLRW Hamiltonian constraint is simply quadratic in the spinor and FLRW cosmology is written as a Schrödinger-like action principle. Conformal transformations can then be written as proper-time dependent SL(2,R) transformations. We conclude with possible generalizations of FLRW to arbitrary quadratic Hamiltonian and discuss the interpretation of the spinor as a gravitationally-dressed matter field or matter-dressed geometry observable.

A detailed XPS investigation, supported by XRD analysis, was performed on Co-Zn-Mn oxide-based spinels as a function of cobalt concentration and calcination temperature (723 and 973 K). Results revealed for the first time that a recarbonation occurred under ambient conditions but only for the Co-containing materials calcined at 973 K. Indeed, such effect was not observed for the homologous preparations at 723 K. This evidence was quite surprising because the solids calcined at 973 K, for which a sintering occurred as reflected by the low surface areas, were supposed to be almost inert under ambient conditions. Such an intriguing recarbonation chemistry, leading even to a bulky rhodochrosite-like (MnCO3) phase in the cobalt most enriched samples, arises from the combined effect of the calcination treatment at high temperature and the presence of cobalt ions. The spinels calcined at higher temperature are characterized by a high surface defectivity, due to anionic vacancies produced by a partial self-reduction of a fraction of Mn3+ ions that occurs only at 973 K but not at 723 K. Consequently, the presence of anionic vacancies and the incomplete coordination of the outermost layers promoted a higher reactivity of the solids calcined at 973 K with CO2 and moisture from ambient air. However, a carbonate phase was absent in the sample at 973 K with no cobalt. This suggests that the presence of cobalt is another crucial factor for the recarbonation process to take place. Cobalt ions appear to play a catalytic role. An attempt is made to provide a reasonable explanation of this intriguing recarbonation chemistry, trying to shed some more light on the rather complex chemistry behind the attack of moisture and CO2 to oxide solid surfaces. These results, as a whole, may provide new insight on phenomena observed in the case of some Mn-based catalysts, as the severe deactivation by traces of moisture occurring in hopcalite during CO oxidation at RT. They may also give an additional perspective to environmental processes that involves the interaction of moisture and CO2 with the surface of Mn-based solids or other materials as environmental interfaces.

Let n, a and b be positive integers. The pair (a; b) is called an integer partition of n into Diophantine pair if n = a+b, ab+1 is a perfect square and a > b. In this paper we give, for any positive integer n, a closed formula for the number of integer partitions into Diophantine pairs.Mathematics Subject Classication (2010): Primary 05A17; Secondary 11P83.Key words: Integer partitions, Diophantine pairs, τ (n), qD(n;m), qD(n; 2)

We review the quantum spectral curve (QSC) formalism for anomalous dimensions of planar ${\cal\ N}=4$ SYM, including its $\gamma$-deformation. Leaving aside its derivation, we concentrate on formulation of the "final product" in its most general form: a minimal set of assumptions about the algebraic structure and the analyticity of the $Q$-system -- the full system of Baxter $Q$-functions of the underlying integrable model. The algebraic structure of the $Q$-system is entirely based on (super)symmetry of the model and is efficiently described by Wronskian formulas for $Q$-functions organized into the Hasse diagram. When supplemented with analyticity conditions on $Q$-functions, it fixes completely the set of physical solutions for spectrum of an integrable model. First we demonstrate the spectral equations on the example of $gl(N)$ and $gl(K|M)$ Heisenberg (super)spin chains. Supersymmetry $gl(K|M)$ occurs as a "rotation" of the Hasse diagram for a $gl(K+M)$ system. This picture helps us to construct the QSC formalism for spectrum of AdS$_5$/CFT$_4$-duality, with more complicated analyticity constraints on $Q$-functions which involve an infinitely branching Riemann surface and a set of Riemann-Hilbert conditions. As an example of application of QSC, we consider a special double scaling limit of $\gamma$-twisted ${\cal\ N}=4$ SYM, combining weak coupling and strong imaginary twist. This leads to a new type of non-unitary CFT dominated by particular integrable, and often computable, 4D fishnet Feynman graphs. For the simplest of such models -- the bi-scalar theory -- the QSC degenerates into the $Q$-system for integrable non-compact Heisenberg spin chain with conformal, $SU(2,2)$ symmetry. We apply the QSC for derivation of Baxter equation and the quantization condition for particular, "wheel" fishnet graphs, and review numerical and analytic results for them., Comment: 52 pages

We construct a near projective plane of order [math] containing [math] pure lines by extending the dual of the point-line geometry of [math] .

This paper introduces the concept of an operation on tau_g. Using this operation, we define the concept of g-gamma-open sets, and study some of their related notions. Also, we introduce the concept of g gamma-generalized closed sets and then investigate some of its properties. Furthermore, we introduce and investigate g-gamma-T_i spaces (i in {0,1/2, 1, 2) and g-(gamma,beta)-continuous functions by utilizing the operation gamma on tau_g. Finally, some basic properties of functions with g-beta-closed graphs have been obtained.

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We present the supersymmetric extension of the recently constructed E$_{8(8)}$ exceptional field theory -- the manifestly U-duality covariant formulation of the untruncated ten- and eleven-dimensional supergravities. This theory is formulated on a (3+248) dimensional spacetime (modulo section constraint) in which the extended coordinates transform in the adjoint representation of E$_{8(8)}$. All bosonic fields are E$_{8(8)}$ tensors and transform under internal generalized diffeomorphisms. The fermions are tensors under the generalized Lorentz group SO(1,2)$\times$SO(16), where SO(16) is the maximal compact subgroup of E$_{8(8)}$. Vanishing generalized torsion determines the corresponding spin connections to the extent they are required to formulate the field equations and supersymmetry transformation laws. We determine the supersymmetry transformations for all bosonic and fermionic fields such that they consistently close into generalized diffeomorphisms. In particular, the covariantly constrained gauge vectors of E$_{8(8)}$ exceptional field theory combine with the standard supergravity fields into a single supermultiplet. We give the complete extended Lagrangian and show its invariance under supersymmetry. Upon solution of the section constraint the theory reduces to full D=11 or type IIB supergravity., 25 pages

The potential energy surfaces (PES) for the SO3:H2CO and (SO3)2:H2CO complexes were thoroughly examined at the MP2/aug-cc-pVDZ computational level. Heterodimers and trimers are held together primarily by SO chalcogen bonds, supplemented by weaker CHO and/or OC bonds. The nature of the interactions is probed by a variety of means, including electrostatic potentials, AIM, NBO, energy decomposition, and electron density redistribution maps. The most stable dimer is strongly bound, with an interaction energy exceeding 10 kcal mol(-1). Trimers adopt the geometry of the most stable dimer, with an added SO3 molecule situated so as to interact with both of the original molecules. The trimers are strongly bound, with total interaction energies of more than 20 kcal mol(-1). Most such trimers show positive cooperativity, with shorter SO distances, and three-body interaction energies of nearly 3 kcal mol(-1).

We present numerical simulations of the interaction between a collimated, bipolar ``pulse'' ejected from a star and a continuous wind ejected from a stellar companion. We explore the characteristics of the predicted H$\alpha$ intensity maps by varying selected input parameters. We find that the asymmetry (in size and strength) between the two lobes of the proto-planetary nebula OH 231.8+4.2 is reproduced in this scenario if the wind ejected by the companion star has a strong latitude dependence., Comment: 8 pages, 7 figures, accepted for publication by RevMexAA

Apres avoir refusE de reconna?tre l'hEgEmonie de Philippe II, Sparte s'est montrEe hostile A Alexandre, recevant de l'or perse et refusant de participer A l'expEdition asiatique. Elle tente alors de restaurer son autoritE en Grece et se rEvolte. Analyse politique et culturelle de cette confrontation Ariadne

In this paper the dynamical noninvariance group SO(4,2) for a hydrogen-like atom is derived through two different approaches. The first one is by an established traditional ascent process starting from the symmetry group SO(3). This approach is presented in a mathematically oriented original way with a special emphasis on maximally superintegrable systems, N-dimensional extension and little groups. The second approach is by a new symmetry descent process starting from the noninvariance dynamical group Sp(8,R) for a four-dimensional harmonic oscillator. It is based on the little known concept of a Lie algebra under constraints and corresponds in some sense to a symmetry breaking mechanism. This paper ends with a brief discussion of the interest of SO(4,2) for a new group-theoretical approach to the periodic table of chemical elements. In this connection, a general ongoing programme based on the use of a complete set of commuting operators is briefly described. It is believed that the present paper could be useful not only to the atomic and molecular community but also to people working in theoretical and mathematical physics., Comment: 31 pages

Laser-induced-fluorescence techniques have been used successfully for quantitative two-dimensional measurements of nitric oxide. NO A-X(0, 2) excitation at 248 nm recently found applications in internal-combustion engines. We assess the collisional processes that influence quantification of signal intensities in terms of saturation, rotational energy transfer, and line broadening, using laminar high-pressure methane/air and n-heptane/air flames at pressures as high as 80 bars (8 x 10(6) Pa). A calibration method that is applicable in technical combustion systems based on addition of NO to the burning flame is investigated for various air/fuel ratios and pressures and yields information about the influence of NO reburn processes.

Cet ouvrage collectif paru sous la direction de Pierre Swiggers et de Willy Van Hoeche, réunit sept études consacrées à la pensée et a Ia pratique linguistiques du XVI siècle français, et un répertoire de bibliographie systématique. II s'agit en effet d 'une époque ou I'idée de normaliser Ia langue est une conséquence logique de l'expansion de Ia culture française en Europe et l'on se heurte aujourd'hui aux sour­ ces des premiers descripteurs du français tournarit essentiellement autour des pro­ blemes de Ia codification de Ia langue, de Ia normalisation du français écrit et de Ia diversité dialectale.