Miracle-dz/UniFAR-FTUs huggingface dataset:
Exercise increases the release of NAMPT in extracellular vesicles and alters NAD + activity in recipient cells

Aging is associated with a loss of metabolic homeostasis, with cofactors such as nicotinamide adenine dinucleotide (NAD+) declining over time. The decrease in NAD+ production has been linked to the age‐related loss of circulating extracellular nicotinamide phosphoribosyltransferase (eNAMPT), the rate‐limiting enzyme in the NAD+ biosynthetic pathway. eNAMPT is found almost exclusively in extracellular vesicles (EVs), providing a mechanism for the distribution of the enzyme in different tissues. Currently, the physiological cause for the release of eNAMPT is unknown, and how it may be affected by age and physical exercise. Here, we show that release of small EVs into the bloodstream is stimulated following moderate intensity exercise in humans. Exercise also increased the eNAMPT content in EVs, most prominently in young individuals with higher aerobic fitness. Both mature fit and young unfit individuals exhibited a limited increase in EV‐eNAMPT release following exercise, indicating that this mechanism is related to both the age and physical fitness of a person. Notably, unfit mature individuals were unable to increase the release of eNAMPT in EVs after exercise, suggesting that lower fitness levels and aging attenuate this important signalling mechanism in the body. EVs isolated from exercising humans containing eNAMPT were able to alter the abundance of NAD+ and SIRT1 activity in recipient cells compared to pre‐exercise EVs, indicating a pathway for inter‐tissue signalling promoted through exercise. Our results suggest a mechanism to limit age‐related NAD+ decline, through the systemic delivery of eNAMPT via EVs released during exercise.
THOMPSON'S GROUP F

We introduce forest diagrams and strand diagrams for elements of Thompson's group F. A forest diagram is a pair of infinite, bounded binary forests together with an order-preserving bijection of the leaves. Using forest diagrams, we derive a simple length formula for elements of F, and we discuss applications to the geometry of the Cayley graph, including a new upper bound on the isoperimetric constant (a.k.a. Cheeger constant) of F. Strand diagrams are similar to tree diagrams, but they can be concatenated like braids. Motivated by the fact that configuration spaces are classifying spaces for braid groups, we present a classifying space for F that is the ``configuration space'' of finitely many points on a line, with the points allowed to split and merge in pairs. Strand diagrams are related to a description of F as a groupoid, which we use to derive presentations for F, T, V, and the braided Thompson group BV. In addition to the new results, we include a thorough exposition of the basic theory of the group F. Highlights include a simplified proof that the commutator subgroup of F is simple, a discussion of open problems (with a focus on amenability), and a simplified derivation of the standard presentation and normal forms for F using forest diagrams.
Yang-Mills Connections on Orientable and Nonorientable Surfaces

Introduction Topology of Gauge group Holomorphic principal bundles over Riemann surfaces Yang-Mills connections and representation varieties Yang-Mills $SO(2n+1)$-connections Yang-Mills $SO(2n)$-connections Yang-Mills $Sp(n)$-connections Appendix A. Remarks on Laumon-Rapoport formula Bibliography.
On Kähler metrisability of two-dimensional complex projective structures

We derive necessary conditions for a complex projective structure on a complex surface to arise via the Levi-Civita connection of a (pseudo-)Kähler metric. Furthermore we show that the (pseudo-)Kähler metrics defined on some domain in the projective plane which are compatible with the standard complex projective structure are in one-to-one correspondence with the hermitian forms on C3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}^3$$\end{document} whose rank is at least two. This is achieved by prolonging the relevant finite-type first order linear differential system to closed form. Along the way we derive the complex projective Weyl and Liouville curvature using the language of Cartan geometries.
On Cluster Algebras Arising from Unpunctured Surfaces

We study cluster algebras that are associated to unpunctured surfaces, with coefficients arising from boundary arcs. We give a direct formula for the Laurent polynomial expansion of cluster variables in these cluster algebras in terms of certain paths on a triangulation of the surface. As an immediate consequence, we prove the positivity conjecture of Fomin and Zelevinsky for these cluster algebras. In the special case where the cluster algebra is acyclic, we also give a formula for the expansion of cluster variables as a polynomial whose indeterminates are the cluster variables contained in the union of an arbitrary acyclic cluster and all its neighboring clusters in the mutation graph.
Clinical Characteristics of 100 Patients With COVID-19-Associated Mucormycosis From a Tertiary Care Center in North India

Background Fungal infection in patients with coronavirus disease 2019 (COVID-19) has emerged as a new challenge in healthcare facilities. This study aimed to describe the demographic and clinical characteristics of COVID-19-associated mucormycosis (CAM). Methodology This retrospective, single-center case series included patients who were hospitalized and diagnosed with COVID-19 and mucormycosis at the All India Institute of Medical Sciences, Rishikesh (North India) from April 15, 2021, onwards and last followed up on June 30, 2021. Demographic, clinical, laboratory, radiological, microbiological, pathological, and outcome data were then collected and analyzed. Results Of the 100 consecutive inpatients with CAM, 95 (95%) had diabetes mellitus. At the onset of illness, the most common manifestations were facial swelling (85%), eye swelling (83%), headache (68%), pain around the eyeball (67%), malaise (57%), and fever (50%). The most common organ involved on examination was the nose and paranasal sinus (96%), followed by the orbit (83%), palate (19%), and cranial nerves (7%). Pulmonary involvement was seldom observed (1%). Predominant pathological findings were the presence of aseptate hyphae (75%), necrosis (75%), angioinvasion (36%), and perineural invasion (2.6%). During the last follow-up, 13 patients died, with 11 (84.6%) having severe COVID-19 and two (15.3%) having moderate COVID-19. Conclusions Steroid use and diabetes mellitus are the significant risk factors of CAM. Patients with CAM usually present with face/eye swelling with radiological involvement of the nose and sinus and may die because of severe COVID-19.
Fixed points for multi-class queues

Burke's theorem can be seen as a fixed-point result for an exponential single-server queue; when the arrival process is Poisson, the departure process has the same distribution as the arrival process. We consider extensions of this result to multi-type queues, in which different types of customer have different levels of priority. We work with a model of a queueing server which includes discrete-time and continuous-time M/M/1 queues as well as queues with exponential or geometric service batches occurring in discrete time or at points of a Poisson process. The fixed-point results are proved using interchangeability properties for queues in tandem, which have previously been established for one-type M/M/1 systems. Some of the fixed-point results have previously been derived as a consequence of the construction of stationary distributions for multi-type interacting particle systems, and we explain the links between the two frameworks. The fixed points have interesting "clustering" properties for lower-priority customers. An extreme case is an example of a Brownian queue, in which lower-priority work only occurs at a set of times of measure 0 (and corresponds to a local time process for the queue-length process of higher priority work).
On the geometry of the slice of trace--free SL(2,C)-characters of a knot group

Let K be a knot in an integral homology 3-sphere and let B denote the 2-fold branched cover of the integral homology sphere branched along K. We construct a map from the slice of characters with trace free along meridians in the SL(2, C)-character variety of the knot exterior to the SL(2, C)-character variety of 2-fold branched cover B. When this map is surjective, it describes the slice as the 2-fold branched cover over the SL(2, C)-character variety of B with branched locus given by the abelian characters, whose preimage is precisely the set of metabelian characters. We show that each of metabelian character can be represented as the character of a binary dihedral representation of the knot group. This map is shown to be surjective for all 2-bridge knots and all pretzel knots of type (p, q, r). An extension of this framework to n-fold branched covers is also described.
Bergman kernels and equilibrium measures for ample line bundles

Let L be an ample holomorphic line bundle over a compact complex Hermitian manifold X. Any fixed smooth Hermitian metric on L induces a Hilbert space structure on the space of global holomorphic sections with values in the k:th tensor power of L. In this paper various convergence results are obtained for the corresponding Bergman kernels. The convergence is studied in the large k limit and is expressed in terms of the equilibrium metric associated to the fixed metric, as well as in terms of the Monge-Ampere measure of the fixed metric itself on a certain support set. It is also shown that the equilibrium metric has Lipschitz continuous first derivatives. These results can be seen as generalizations of well-known results concerning the case when the curvature of the fixed metric is positive (the corresponding equilibrium metric is then simply the fixed metric itself).
Convolution type stochastic Volterra equations

recenzenci:Prof. dr hab. Michal Kisielewicz, Uniwersytet Zielonogorski Prof. dr hab. Leszek Slominski, Uniwersytet Mikolaja Kopernika, TorunProf. dr hab. Łukasz Stettner, IM PAN, Warszawa Prof. dr hab. Aleksander Weron, Politechnika Wroclawska
Origin of the numerals, Al biruni testimony

The origin of the numerals that we inherited from the arabo-Islamic civilization remained one enigma. The hypothesis of the Indian origin remained, with controversies, without serious rival. It was the dominant hypothesis since more of one century. Its partisans found to it and constructed a lot of arguments. The testimonies of the medieval authors have been interpreted to its advantage. The opposite opinions have been dismissed and ignored. An amalgam between the history of our modern numerals and the Indian mathematics history is made. Rational contradictions often passed under silence. A meticulous observation of the numerals permits to affirm that our numerals are in fact more or less modified Arabic letters. The "Ghubari" shape of the numerals shows that the symbol of a numeral corresponds to the Arabic letter whose numerical value is equal to this numeral. The numerals don't have a simple resemblance with some Arabic letters, but every number looks like the Arabic letter whose numerical value is equal to this numeral. The elements of the ''Abjadi'' calculation gives us a theoretical support, independent of the letters and numerals, witch explains our observation. Besides a re-lecture of the testimonies of the medieval authors, particularly the testimony of Al-Biruni, that is probably at the origin of all others testimonies speaking of the Indian origin of the numerals, is in agreement with the fact that our numerals are Arabic letters. We have there a second way concerning the origin of our modern numerals that is only to its beginnings. The deepened researches are necessary to understand the history of our numerals better. A rigorous re-lecture of the medieval testimonies with a new mind imposes itself.
Ergodic averages of commuting transformations with distinct degree polynomial iterates

We prove mean convergence, as N → ∞, for the multiple ergodic averages 1N∑n=1Nf1(T1p1(n)x)⋅…⋅fl(Tlplx) where p1, …, pℓ are integer polynomials with distinct degrees, and T1, …, Tℓ are commuting, invertible measure preserving transformations, acting on the same probability space. This establishes several cases of a conjecture of Bergelson and Leibman that complement the case of linear polynomials, recently established by Tao. Furthermore, we show that, unlike the case of linear polynomials, for polynomials of distinct degrees, the corresponding characteristic factors are mixtures of inverse limits of nilsystems. We use this particular structure, together with some equidistribution results on nilmanifolds, to give an application to multiple recurrence and a corresponding one to combinatorics.
The fetal sequencing consortium: The value of multidisciplinary dialog and collaboration

Prenatal diagnosis of fetal structural anomalies is entering a new phase due to advances in diagnostic sequencing. The creation of an international, multi-disciplinary Fetal Sequencing Consortium (FSC) has provided a forum for regular dialogue and collaboration between diverse clinicians and scientists focused on the interpretation and understanding of sequencing results. The creation of an international fetal sequencing repository utilizing the Global Alliance for Genomics and Health (GA4GH) standards will further expand our ability to clinically interpret the fetal genome, advancing both clinical care and scientific discovery. This article is protected by copyright. All rights reserved.
Non-archimedean analysis on the extended hyperreal line $^*R_d$ and the solution of some very old transcendence conjectures over the field $Q$

In this paper possible completion $^*R_{d}$ of the Robinson non-archimedean field $^*R$ constructed by Dedekind sections. Given an class of analytic functions of one complex variable $f \in C[[z]]$,we investigate the arithmetic nature of the values of $f$ at transcendental points $e^{n}$. Main results are: 1) the both numbers $e+\pi$ and $e\pi$ are irrational, 2) number $e^{e}$ is transcendental. Nontrivial generalization of the Lindemann-Weierstrass theorem is obtained
Brownian Brownian Motion-I

A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work the authors study a 2D version of this model, where the molecule is a heavy disk of mass M 1 and the gas is represented by just one point particle of mass m = 1, which interacts with the disk and the walls of the container via elastic collisions. Chaotic behavior of the particles is ensured by convex (scattering) walls of the container. The authors prove that the position and velocity of the disk, in an appropriate time scale, converge, as M, to a Brownian motion (possibly, inhomogeneous); the scaling regime and the structure of the limit process depend on the initial conditions. The proofs are based on strong hyperbolicity of the underlying dynamics, fast decay of correlations in systems with elastic collisions (billiards), and methods of averaging theory.
Big-Pieces-of-Lipschitz-Images Implies a Sufficient Carleson Estimate in a Metric Space

This note is intended to be a supplement to the bi-Lipschitz decomposition of Lipschitz maps shown in [Sch]. We show that in the case of 1-Ahlfors-regular sets, the condition of having `Big Pieces of bi-Lipschitz Images' (BPBI) is equivalent to a Carleson condition.
Fiber functors, monoidal sites and Tannaka duality for bialgebroids

What are the fiber functors on small additive monoidal categories C which are not abelian? We give an answer which leads to a new Tannaka duality theorem for bialgebroids generalizing earlier results by Phung Ho Hai. The construction reveals a sheaf theoretic interpretation in so far as the reconstructed bialgebroid H has comodule category equivalent to the category of T-sheaves w.r. t. a monoidal Grothendieck topology on C. We also prove an existence theorem for fiber functors on small additive monoidal categories with bounded fusion and weak kernels. For certain autonomous categories a generalized Ulbrich Theorem can be formulated which relates fiber functors to Hopf algebroid Galois extensions.
The finiteness result for Khovanov homology and localization in monoidal categories

In the previous paper we constructed the local system of Khovanov complexes on the Vassiliev space of knots and extended it to the singular locus. In this paper we introduce the definition of the homology theory (local system) of finite type and prove the first finiteness result: the Khovanov local system restricted to the subcategory of knots of the crossing number at most n is the theory of type less or equal to n. This result can be further generalized to the categorification of Birman-Lin theorem.
The Effect of Organizational Commitment and Work Environment on Job Satisfaction of Employees of the South Coast District Inspectorate Office

This study aimed to analyze and prove the effect of organizational commitment and work environment on job satisfaction of employees in the Inspectorate Office of Pesisir Selatan District. The data analysis technique used to test the hypothesis is multiple linear regression. The sampling technique used is saturated sampling, while the number of samples used for analysis is 47 people. In this study, there are two independent variables: organizational commitment and work environment. Based on the multiple linear regression analysis results, it was found that the variable organizational commitment has a positive and significant effect on job satisfaction, and the work environment has a positive and significant effect on job satisfaction in the Inspectorate Office of Pesisir Selatan District. This study recommends practically to the Inspectorate Office of Pesisir Selatan District to continue to improve employee job satisfaction optimally in achieving organizational goals in the future
Changes in volumetric bone mineral density and bone quality after Roux‐en‐Y gastric bypass: A meta‐analysis with meta‐regression

This meta‐analysis aimed to assess the effect of Roux‐en‐Y gastric bypass (RYGB) on three‐dimensionally assessed volumetric bone mineral density (vBMD) with the effect of time on these changes, on bone quality, and the agreement of dual‐energy X‐ray absorptiometry (DXA) with quantitative computed tomography (QCT) or high‐resolution peripheral QCT (HR‐pQCT) estimates of bone loss. We searched PubMed, Web of Science, Cochrane, Scopus, and EBSCO. Longitudinal studies on adults undergoing RYGB in which vBMD was assessed by QCT or HR‐pQCT with ≥6 months follow‐up were included. Total hip (TH) changes were reported in four studies, lumbar spine (LS) in eight, radius in eight, and tibia in seven. Significant post‐RYGB vBMD reductions occurred at all skeletal sites analyzed. Meta‐regression revealed that time post‐RYGB was significantly associated with vBMD deterioration in all skeletal sites except at the TH. RYGB also led to significant deterioration on bone quality. DXA underestimated LS and overestimated TH bone losses post‐RYGB. In conclusion, RYGB was associated with significant vBMD loss, which makes screening of bone mass progression by three‐dimensional technology a crucial clinical issue to prevent fracture risk and osteoporosis.
Influenza Vaccination and COVID-19 Outcomes in People Older than 50 Years: Data from the Observational Longitudinal SHARE Study

Existing literature on the association between influenza vaccination and COVID-19 infection/outcomes is conflicting. Therefore, we aimed to investigate the association between influenza vaccination and COVID-19 outcomes in a large cohort of adults who participated in the SHARE (Survey of Health, Ageing, and Retirement in Europe). Information regarding influenza vaccination in the previous year, and medical and demographic characteristics, were self-reported. Positivity for COVID-19, symptomatology, and hospitalization were also ascertained using self-reported information. An adjusted logistic regression analysis (including 15 baseline factors or propensity score) was used to assess the association between influenza vaccination and COVID-19 outcomes. A total of 48,408 participants (mean age 67 years; 54.1% females) were included. The prevalence of influenza vaccination was 38.3%. After adjusting for 15 potential confounders, influenza vaccination was significantly associated with a lower risk of positivity for COVID-19 (OR = 0.95; p < 0.0001), symptomatic forms (OR = 0.87; p < 0.0001), and hospitalization for COVID-19 (OR = 0.95; p < 0.0001). The results were similar when using a propensity score approach. In conclusion, influenza vaccination may be beneficial for the prevention of COVID-19, as the present study found that influenza vaccination was associated with a small/moderate lower risk of COVID-19 infection and adverse outcomes.
Differential operators on quantized flag manifolds at roots of unity, II

Abstract We formulate a Beilinson-Bernstein-type derived equivalence for a quantized enveloping algebra at a root of 1 as a conjecture. It says that there exists a derived equivalence between the category of modules over a quantized enveloping algebra at a root of 1 with fixed regular Harish-Chandra central character and the category of certain twisted D-modules on the corresponding quantized flag manifold. We show that the proof is reduced to a statement about the (derived) global sections of the ring of differential operators on the quantized flag manifold. We also give a reformulation of the conjecture in terms of the (derived) induction functor.
Profiles of Behavioral, Academic, and Demographic Characteristics of Middle School Students With Emotional or Behavioral Needs

Often the characteristics of students with emotional and behavioral disturbances (EBDs) are described in terms of how they compare to students with and without other disabilities. However, such a conceptualization or categorization may overshadow differences that exist among these youth, and few studies examine unique subpopulations within this group. To explore meaningful differences and similarities among students with EBD, which could help to facilitate customization of interventions and supports, we conducted a latent profile analysis of over 300 middle school students receiving special education services for emotional or behavioral needs. Results identified four profiles using demographic variables, school setting (alternative school or not), teacher ratings of behavior and academic competence, and parent report on child suspensions. Criterion variables were then tested, with significant differences identified in use of mental health services, parent empowerment, and caregiver strain. However, significant differences were not found in parent satisfaction with school. Limitations, implications, and the need for additional research are discussed.
Wars, cartels and COVID-19: regime switching in commodity prices

ABSTRACT Commodity prices are extremely volatile, and volatility itself fluctuates over time. Using data from 1959 to 2022, we estimate a 3-state Markov-switching model to identify expansions and contractions in oil and copper price volatility. We found a transition from a low to a medium variance regime for the oil price, in 1979, reflecting changes in the oil market structure. In addition, we identify infrequent and short-lived episodes of unusually high oil price volatility. For copper, there is no transition across regimes, and episodes of high volatility are not synchronized with the periods of high volatility in oil prices. We found that oil prices are much more volatile than copper prices in all states. Oil prices react more strongly to market cartelization, war episodes, and global demand shifts, like the 2008 Great Recession and the COVID-19.