Miracle-dz/UniFAR-FTUs huggingface dataset:
Verb Frequency and Density Drive Naming Performance in Primary Progressive Aphasia

ABSTRACT Background Recent work has highlighted the utility of the Boston Naming Test and Hopkins Action Naming Assessment (HANA) for distinguishing between semantic (svPPA), logopenic (lvPPA) and non-fluent agrammatic (nfavPPA) variants of primary progressive aphasia (PPA). Aims To determine whether item level differences between variants on when naming verbs on the HANA were able to be accounted for using common variables of lexical interest: word frequency, semantic density, concreteness, or valency. We also examined three specific hypotheses: (1) svPPA and lvPPA may result in increased difficulty with decreased semantic density compared to nfavPPA; (2) svPPA may result in increased difficulty with decreased concreteness; and (3) nfavPPA may result in increased difficulty with high syntactic valency. Methods & Procedures 268 patients with PPA were evaluated using the HANA. A hierarchical Bayesian regression approach was adopted to account for effects of repeated measurement within participants and items. Outcomes & Results The main effects of variant and verb trait were significant in all models, as was the interaction for frequency, semantic density, and valency. Increasing frequency, semantic density, and concreteness led to better performance, while increasing valency led to poorer performance. Low semantic density contributed to greater difficulty in svPPA and lvPPA, but low concreteness did not uniquely impact verb naming in svPPA. Those with nfavPPA had no particular difficulty as a result of valency. Conclusions Prior studies have identified the independent effects of frequency and semantic density on verb naming in PPA, which were confirmed by our analyses, and the best predictions of the data were achieved by combining these dimensions. This investigation complements our previous work highlighting the value of the HANA for efficiently demonstrating verb performance in PPA.
GSV-Index for Holomorphic Pfaff Systems

In this work we introduce a GSV type index for varieties invariant by holomorphic Pfaff systems (possibly non locally decomposables) on projective manifolds. We prove a non-negativity property for the index. As an application, we prove that the non-negativity of the GSV-index gives us an obstruction to the solution of the Poincare problem for Pfaff systems on projectives spaces.
On the study of efficiency of exponential‐type estimator of population mean using robust regression methods

This study aimed at enhancing the efficiency of Zaman estimators using exponential transformation technique. A new class of estimators was obtained using the concept of Bahl and Tuteja. The bias and mean squared error (MSE) of the new class of suggested estimators was derived up to second degree approximation. The empirical study through simulations was conducted using Normal, exponential, gamma, chi‐square and beta distributions under robust regression methods (Huber‐M, Huber‐MM, LTS (least trimmed squares) and LMS (least median of squares)) and the results revealed that proposed estimators were more efficient.
On the strength of streak artifacts in limited angle weighted X-ray transform

In this article, we study the limited angle problem for the weighted X-ray transform. We consider the approximate reconstructions by applying two filtered back projection formulas to the limited data. We prove that each resulted operator can be decomposed into the sum of three Fourier integral operators whose symbols are of types $(\varrho,\delta) \neq (1,0)$. The first operator, being a pseudo-differential operator, is responsible for the reconstruction of visible singularities. The other two are responsible for the generation of the artifacts. The theory of Fourier integral operators then implies, in particular, the continuity of the reconstruction operator and geometry of the artifacts. We then extend the technique developed by the author in [Inverse Problems 31 (2015) 055003] to obtain more refined microlocal estimates for the strength of the artifacts.
Application and development of fecal microbiota transplantation in the treatment of gastrointestinal and metabolic diseases: A review

Fecal microbiota transplantation (FMT) restores a balanced intestinal flora, which helps to cure recurrent Clostridium difficile infections (RCDI). FMT has also been used to treat other gastrointestinal diseases, including inflammatory bowel disease (IBD), irritable bowel syndrome (IBS), and chronic constipation, as well as a variety of non-GI disorders. The purpose of this review is to discuss gut microbiota and FMT treatment of GI and non-GI diseases. An imbalanced gut microbiota is known to predispose one to Clostridium difficile infections (CDI), IBD, and IBS. However, the complex role of the gut microbiota in maintaining health is a newer concept that is being increasingly studied. The microbiome plays a major role in cellular immunity and metabolism and has been implicated in the pathogenesis of non-GI autoimmune diseases, chronic fatigue syndrome, obesity, and even some neuropsychiatric disorders. Many recent studies have reported that viral gastroenteritis can affect intestinal epithelial cells, and SARS-CoV-2 virus has been identified in the stool of infected patients. FMT is a highly effective cure for RCDI, but a better understanding of the gut microbiota in maintaining health and controlled studies of FMT in a variety of conditions are needed before FMT can be accepted and used clinically.
Time-periodic forcing and asymptotic stability for the Navier-Stokes-Maxwell equations

For the 3D Navier-Stokes-Maxwell problem on the whole space and in the presence of external time-periodic forces, first we study the existence of time-periodic small solutions, and then we prove their asymptotic stability. We use new type of spaces to account for averaged decay in time.
Hyperbolic manifolds and tessellations of type {3,5,3} associated with L_2(q)

We classify the normal subgroups K of the tetrahedral group Delta=[3,5,3]^+, the even subgroup of the Coxeter group Gamma=[3,5,3], with Delta/K isomorphic to a finite simple group L_2(q). We determine their normalisers N(K) in the isometry group of hyperbolic 3-space H^3, the isometry groups N(K)/K of the associated hyperbolic 3-manifolds H^3/K, and the symmetry groups N_{Gamma}(K)/K of the icosahedral tessellations of these manifolds, giving a detailed analysis of how L_2(q) acts on these tessellations.
Physical Activity Among Adults in Rural Western North Carolina During the COVID-19 Pandemic

Introduction During the COVID-19 pandemic, measures implemented to protect community health may have influenced how and where people engaged in physical activity. In rural communities, access to resources, the environment, and socioeconomic status could play a role in how adults are physically active. Our study examined locations where rural residents of a county in western North Carolina engaged in physical activity early in the COVID-19 pandemic, their reasons for being physically active, and their perceptions of benefits and barriers related to engaging in physical activity. Methods Rural adults (N =297) completed an online survey from August 3 through September 15, 2020, describing their physical activity during the summer of 2020. Data were analyzed using nonparametric measures. Results Survey respondents frequently engaged in physical activity in the home (57.8%), at parks or on trails (45.3%), and around their neighborhood (39.4%). The most common types of physical activities at parks or on trails were walking and hiking (99.5%). Across all locations, the most frequently reported reasons for engaging in physical activity were getting out of the house, maintaining fitness and mental health, and exercising. Conclusion Our study showed many locations where rural residents were physically active and their reasons for participating in physical activity during the pandemic. Data about perceived benefits of and barriers to physical activity during the pandemic can assist in meeting the current need to increase physical activity levels in rural communities.
Absolute continuity in families of parametrised non-homogeneous self-similar measures

In 2016, Shmerkin and Solomyak showed that if $U \subset \mathbb{R}$ is an interval, and $\{\mu_{u}\}_{u \in U}$ is an analytic family of homogeneous self-similar measures on $\mathbb{R}$ with similitude dimensions exceeding one, then, under a mild transversality assumption, $\mu_{u} \ll \mathcal{L}^{1}$ for all parameters $u \in U \setminus E$, where $\dim_{\mathrm{H}} E = 0$. The purpose of this paper is to generalise the result of Shmerkin and Solomyak to non-homogeneous self-similar measures. As a corollary, we obtain new information about the absolute continuity of projections of non-homogeneous planar self-similar measures.
Asymptotically conical Ricci flat K\"ahler metrics on $\mathbb{C}^2$ with cone singularities along a complex curve

We prove an existence theorem for Asymptotically Conical Ricci Flat Kahler metrics in $\mathbb{C}^2$ with cone singularities along a smooth complex curve. These metrics are expected to arise as blow up limits of non collapsed sequences of Kahler Einstein metrics with cone singularities.
The Nexus between External Debt and Growth Convergence: Evidence from Asian Countries

This paper aims to investigate the relationship between growth and external debt in selected Asian economies during the period from 2000 to 2019. To this aim, panel data collected from the World Development Indicators (WDI) of the World Bank are analyzed by the conditional beta convergence framework. Three indicators of external debt (namely total debt service, debt stock and public and publicly guaranteed debt service) are incorporated in the model regressing the average growth rate of income on the natural logarithm of the initial level of GDP per capita. Results of the fixed effect estimations show an inverse relationship between external debt ratios and economic growth. The role of external debt in the convergence process is further examined by including debt interaction terms in the conditional convergence model. We found that a higher debt service level is associated with a higher rate of convergence. These findings reveal that over the past two decades the economic convergence among Asian countries has been much debt-led. Our findings inform policymakers of the effectiveness of government borrowings as a source for economic growth.
Natural Reno-Protective Agents against Cyclosporine A-Induced Nephrotoxicity: An Overview

CA (cyclosporine A) is a powerful immunosuppressing agent that is commonly utilized for treating various autoimmune illnesses and in transplantation surgery. However, its usage has been significantly restricted because of its unwanted effects, including nephrotoxicity. The pathophysiology of CA-induced kidney injury involves inflammation, apoptosis, tubular injury, oxidative stress, and vascular injury. Despite the fact that exact mechanism accountable for CA’s effects is inadequately understood, ROS (reactive oxygen species) involvement has been widely proposed. At present, there are no efficient methods or drugs for treating CA-caused kidney damage. It is noteworthy that diverse natural products have been investigated both in vivo and in-vitro for their possible preventive potential in CA-produced nephrotoxicity. Various extracts and natural metabolites have been found to possess a remarkable potential for restoring CA-produced renal damage and oxidative stress alterations via their anti-apoptosis, anti-inflammatory, and antioxidative potentials. The present article reviews the reported studies that assess the protective capacity of natural products, as well as dietary regimens, in relation to CA-induced nephrotoxicity. Thus, the present study presents novel ideas for designing and developing more efficient prophylactic or remedial strategies versus CA passive influences.
Arithmetically-free group-gradings of Lie algebras

A Lie algebra L is known to be nilpotent if it admits a grading by (Zp, +) with support X not containing 0. It is also known that the class of L can be bounded by some explicit function of |X|. We generalise this and other classical results to gradings of Lie algebras by arbitrary groups with arithmetically-free support. We then apply these results to automorphisms of groups satisfying an identity.
Analyzing the Wu metric on a class of eggs in $\mathbb{C}^n$ -- I

We study the Wu metric for the non-convex domains of the form \[ E_{2m} = \big\{ z \in \mathbb{C}^n : \vert z_1 \vert^{2m} + \vert z_2 \vert^2 + \ldots + \vert z_{n-1} \vert^2 + \vert z_n \vert^{2} <1 \big \}, \] where $ 0 < m < 1/2$. Explicit expressions for the Kobayashi metric and the Wu metric on such pseudo-eggs $E_{2m}$ are obtained. The Wu metric is then verified to be a continuous Hermitian metric on $ E_{2m} $ which is real analytic everywhere except along the complex hypersurface $ Z = \{ (0, z_2, \ldots, z_n ) \in E_{2m} \} $. We also show that the holomorphic sectional curvature of the Wu metric for this non-compact family of pseudoconvex domains is bounded above in the sense of currents by a negative constant independent of $m$. This verifies a conjecture of S. Kobayashi and H. Wu for such $E_{2m}$.
Quantitative results on Fejer monotone sequences

We provide in a unified way quantitative forms of strong convergence results for numerous iterative procedures which satisfy a general type of Fejer monotonicity where the convergence uses the compactness of the underlying set. These quantitative versions are in the form of explicit rates of so-called metastability in the sense of T. Tao. Our approach covers examples ranging from the proximal point algorithm for maximal monotone operators to various fixed point iterations (x_n) for firmly nonexpansive, asymptotically nonexpansive, strictly pseudo-contractive and other types of mappings. Many of the results hold in a general metric setting with some convexity structure added (so-called W-hyperbolic spaces). Sometimes uniform convexity is assumed still covering the important class of CAT(0)-spaces due to Gromov.
Multi-site breathers in Klein–Gordon lattices: stability, resonances and bifurcations

We prove a general criterion of spectral stability of multi-site breathers in the discrete Klein–Gordon equation with a small coupling constant. In the anti-continuum limit, multi-site breathers represent excited oscillations at different sites of the lattice separated by a number of ‘holes’ (sites at rest). The criterion describes how the stability or instability of a multi-site breather depends on the phase difference and distance between the excited oscillators. Previously, only multi-site breathers with adjacent excited sites were considered within the first-order perturbation theory. We show that the stability of multi-site breathers with one-site holes changes for large-amplitude oscillations in soft nonlinear potentials. We also discover and study a symmetry-breaking (pitchfork) bifurcation of one-site and multi-site breathers in soft quartic potentials near the points of 1 : 3 resonance.
Combinatorial Identities Deriving From The $N$-th Power Of A $2\Times 2$ Matrix

In this paper we give a new formula for the $n$-th power of a $2\times2$ matrix. More precisely, we prove the following: Let $A= \left ( \begin{matrix} a & b \\ c & d \end{matrix} \right )$ be an arbitrary $2\times2$ matrix, $T=a+d$ its trace, $D= ad-bc$ its determinant and define \[ y_{n} :\,= \sum_{i=0}^{\lfloor n/2 \rfloor}\binom{n-i}{i}T^{n-2 i}(-D)^{i}. \] Then, for $n \geq 1$, \begin{equation*} A^{n}=\left ( \begin{matrix} y_{n}-d \,y_{n-1} & b \,y_{n-1} \\ c\, y_{n-1}& y_{n}-a\, y_{n-1} \end{matrix} \right ). \end{equation*} We use this formula together with an existing formula for the $n$-th power of a matrix, various matrix identities, formulae for the $n$-th power of particular matrices, etc, to derive various combinatorial identities.
Criterion for the integrality of hypergeometric series with parameters from quadratic fields

For the hypergeometric series with parameters from the rational fields, there is an effective criterion due to Christol to decide whether the hypergeometric series is N-integral or not. Christol criterion is a basic and vital tool in the recent striking work of Delaygue, Rivoal and Roques on the N-integrality of the hypergeometric mirror maps with rational parameters. In this paper, we develop a systematic theory on the N-integrality of the hypergeometric series with parameters from quadratic fields. We first present a detailed $p$-adic analysis to set up a criterion of the $p$-adic integrality of the hypergeometric series with parameters from rational fields. Consequently, we present two equivalent statements for the hypergeometric series with parameters from algebraic number fields to be N-integral. Finally, by using these results, introducing a new function that extends the Christol's function and developing a further $p$-adic analysis, we establish a criterion for the N-integrality of the hypergeometric series with parameters from the quadratic fields. In the process, there are two important ingredients. One is the uniform distribution result of roots of a quadratic congruence which is due to Duke, Friedlander and Iwaniec together with Toth. Another one is an upper bound on the number of solutions of polynomial congruences given by Stewart in 1991.
Elements of Torelli topology: I. The rank of abelian subgroups

By Torelli topology the author understands aspects of the topology of surfaces (potentially) relevant to the study of Torelli groups. The present paper is devoted to a new approach to the results of W. Vautaw about Dehn multi-twists in Torelli groups and abelian subgroups of Torelli groups. The new proofs are more transparent and lead to stronger estimates of the rank of an abelian subgroup when some additional information is available. An unexpected application of our methods is a new proof of the algebraic characterization of the Dehn twist about separating circles and the Dehn-Johnson twists about bounding pairs of circles. This proof is much shorter than the original one and bypasses one of the main difficulties, which may be called the extension problem, specific to Torelli groups as opposed to the Teichm\"uller modular groups. The extension problem is discussed in details in the second paper of this series.
Regional tourism convergence: a disaggregated analysis of Croatia

ABSTRACT This study examines tourism convergence across regions within a country as a means to understand the extent to which there is segmentation of regional tourism markets and the differential impact of domestic versus foreign tourism. Additionally, our empirical analysis introduces a newly developed weak σ-convergence test alongside the club convergence approach to explore regional tourism convergence. Using disaggregated monthly county-level data for Croatia from 1998:1 to 2021:9, the results clearly identify the divergence across counties to suggest the regional segmentation of tourism in the country between coastal and continental regions. The policy implications of the results are also discussed.
Cohomology classes of strata of differentials

We introduce a space of stable meromorphic differentials with poles of prescribed orders and define its tautological cohomology ring. This space, just as the space of holomorphic differentials, is stratified according to the set of multiplicities of zeros of the differential. The main goal of this paper is to compute the Poincare-dual cohomology classes of all strata. We prove that all these classes are tautological and give an algorithm to compute them. In a second part of the paper we study the Picard group of the strata. We use the tools introduced in the first part to deduce several relations in these Picard groups.
Ergodic description of STIT tessellations

Let be the STIT tessellation process. We show that for all polytopes W with nonempty interior and all a>1, the renormalized random sequence induced in W is a finitary factor of a Bernoulli shift. As a corollary, we get that the renormalized continuous time process induced in W is a Bernoulli flow.
Maternal Distress during Pregnancy and the Postpartum Period: Underlying Mechanisms and Child’s Developmental Outcomes—A Narrative Review

Maternal mental health may be considered a determining factor influencing fetal and child development. An essential factor with potentially negative consequences for a child’s psychophysiological development is the presence of maternal distress during pregnancy and the postpartum period. The review is organized and presented to explore and describe the effects of anxiety, stress, and depression in pregnancy and the postpartum period on adverse child developmental outcomes. The neurobiology of maternal distress and the transmission mechanisms at the molecular level to the fetus and child are noted. In addition, the paper discusses the findings of longitudinal studies in which early child development is monitored concerning the presence of maternal distress in pregnancy and the postpartum period. This topic gained importance in the COVID-19 pandemic context, during which a higher frequency of maternal psychological disorders was observed. The need for further interdisciplinary research on the relationship between maternal mental health and fetal/child development was highlighted, especially on the biological mechanisms underlying the transmission of maternal distress to the (unborn) child, to achieve positive developmental outcomes and improve maternal and child well-being.
Constructing, sampling and counting graphical realizations of restricted degree sequences

With the current burst of network theory research (especially in connection with social and biological networks) there is a renewed interest on realizations of given degree sequences and uniform sampling of those realizations. In this paper we propose a new degree sequence problem: we want to find graphical realizations of a given degree sequence on labeled vertices, where certain would-be edges are forbidden. Then we want to sample uniformly all possible realizations. In this paper, as a first step, we solve this restricted degree sequence (or RDS for short) problem if the forbidden edges form a bipartite graph, which consist of the union of a (not necessarily maximal) 1-factor and a (possible empty) star. Then we show how one can sample the space of all realizations of those RDSs uniformly if the degree sequence describes half-regular bipartite graphs. Our result contains, as special cases, the wellknown result of Kannan, Tetali and Vempala on sampling regular bipartite graphs and a recent result of Greenhill on sampling regular directed graphs (so it also provides new proofs of them). The RDS problem with one forbidden 1-factor and with one star is self-reducible, therefore our fully polynomial almost uniform sampler (a.k.a. FPAUS) on the space of all realizations also provides a fully polynomial randomized approximation scheme (a.k.a. FPRAS) for approximate counting of all realizations.
Strichartz inequality for orthonormal functions

We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrodinger equation in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.
Tangent bundle geometry from dynamics: Application to the Kepler problem

In this paper, we consider a manifold with a dynamical vector field and enquire about the possible tangent bundle structures which would turn the starting vector field into a second-order one. The analysis is restricted to manifolds which are diffeomorphic with affine spaces. In particular, we consider the problem in connection with conformal vector fields of second-order and apply the procedure to vector fields conformally related with the harmonic oscillator (f-oscillators). We select one which covers the vector field describing the Kepler problem.