Miracle-dz/UniFAR-FTUs huggingface dataset:
On the structure of cyclotomic nilHecke algebras

In this paper we study the structure of the cyclotomic nilHecke algebras $\HH_{\ell,n}^{(0)}$, where $\ell,n\in\N$. We construct a monomial basis for $\HH_{\ell,n}^{(0)}$ which verifies a conjecture of Mathas. We show that the graded basic algebra of $\HH_{\ell,n}^{(0)}$ is commutative and hence isomorphic to the center $Z$ of $\HH_{\ell,n}^{(0)}$. We further prove that $\HH_{\ell,n}^{(0)}$ is isomorphic to the full matrix algebra over $Z$ and construct an explicit basis for the center $Z$. We also construct a complete set of pairwise orthogonal primitive idempotents of $\HH_{\ell,n}^{(0)}$. Finally, we present a new homogeneous symmetrizing form $\Tr$ on $\HH_{\ell,n}^{(0)}$ by explicitly specifying its values on a given homogeneous basis of $\HH_{\ell,n}^{(0)}$ and show that it coincides with Shan--Varagnolo--Vasserot's symmetrizing form $\Tr^{\text{SVV}}$ on $\HH_{\ell,n}^{(0)}$.
PRSentiMiner: A Product Review Mining System for Sentiment Analysis of Chinese Microblogging

For massive product reviews in Chinese microblogging (Weibo), we propose an opinion aware framework- PRSentiMiner-to conduct sentiment analysis for product reviews in Chinese microblogging based on fuzzy opinion words ontology. Normalized TFIDF weighting scheme is applied to extract the most informative noun patterns to represent the product features, and fuzzy opinion words ontology is constructed based on HowNet. Then we use the established fuzzy opinion words ontology and BMI (Balanced Mutual Information) method to extract evaluation words for product features, we also build the inﬂuence analysis method of microblogging text and quantitative computing method of emotional semantic factors in microblogging text, and we ﬁnally construct the sentiment computing method of product reviews in Chinese microblogging and give the concrete applying steps of this method. The results show that the PRSentiMiner outperforms baseline methods in the parties and have a good application through experiments.
SÜMEYRA ATMACA University of Ghent RICCARDO CAMBONI SETTING RESERVE PRICES IN REPEATED PROCUREMENT AUCTIONS

We use a large dataset of Russian public procurement auctions for standard gasoline over the period 2011-2013, to investigate how buyers set the reserve price - i.e. the buyer’s announced maximum willingness to pay for the good awarded. We provide empirical evidence that repeated past contracts between a buyer and a supplier aﬀect the reserve price set by this buyer in future auctions where the same supplier takes part and wins. Speciﬁcally, we ﬁnd that in these auctions the reserve price, the level of competition, and the winning unit price are lower than in the average auction in the dataset. We conjecture that, in setting the reserve price for a new auction, public buyers exploit information gained about the winners of previous auctions. This intuition is supported by empirically studying the reserve price in a dynamic framework, which allows buyers to take into account information from previous procurement transactions with given suppliers. Finally, we show that our empirical results are in line with a simple theoretical setting in which the buyer collects information about one supplier’s costs and exploits this in setting the reserve price in future auctions. JEL codes : D44; H57.
Painleve equations, vector fields, and ranks in differential fields

Model theoretic ranks of solutions to Painleve equations are calculated, and the type of the generic solution of the second Painleve equation is shown to be disintegrated, strengthening a theorem of Nagloo. A question of Hrushovski and Scanlon regarding Lascar rank and Morley rank in differential fields is answered using planar vector fields.
Foreign Language Learning Effort and Use of Digital Media among Digital Natives: A Case Study from an Urban Secondary School

: This study aims to investigate the impact of new media and some demographic factors such as gender, affinity with English, self-reported academic success, and reading habits on foreign language learning efforts of 21 st -century language learners born into a digital world. The participants were 100 students attending a government secondary school in Artvin, which is located in the Eastern Black Sea Region of Turkey. A case study methodology was employed in the research to investigate the characteristics of the specific subjects extensively. Two questionnaires and a demographic information form were used to collect data and were analyzed with descriptive and inferential analyses. The frequency distribution was presented in tables, and the binary logistic regression model was conducted to assess and identify the influence of new media on digital natives’ foreign language l earning efforts. Research findings indicated that more than half of the digital natives possess a higher level of foreign language learning effort. Secondly, the variables such as affinity towards learning English, self-reported academic success, and using media hardware and social media had a significant effect on digital natives’ foreign language learning effort. Finally, t he digital natives’ classification of effort was seen to be significantly predicted by using new media. The study strongly recommends the extensive integration and use of new media type, which the learners prefer, in the foreign language learning process of the digital
On Meta-monoids and the Fox-Milnor Condition

In this paper we introduce an algebraic structure known as meta-monoids which is particularly suited for the study of knot theory. We define a meta-monoid called $\Gamma$-calculus that gives an Alexander invariant of tangles. We believe that $\Gamma$-calculus gives a unifying framework to study the Alexander polynomial. Specifically, we rederive certain important properties of the Alexander polynomial, most notably the Fox-Milnor condition on the Alexander polynomials of ribbon knots. We argue that our proof has some potential for generalization which may help tackle the slice-ribbon conjecture.
Commutators of automorphic composition operators with adjoints

In this paper, we investigate the compactness of the commutator $[C_\psi^{\ast}, C_\varphi]$ on the Hardy space $H^2(B_N)$ or the weighted Bergman space $A^2_s(B_N)$ ($s>-1$), when $\varphi$ and $\psi$ are automorphisms of the unit ball $B_N$. We obtain that $[C_\psi^{\ast}, C_\varphi]$ is compact if and only if $\varphi$ and $\psi$ commute and they are both unitary. This generalizes the corresponding result in one variable. Moreover, our technique is different and simpler. In addition, we also discuss the commutator $[C_\psi^{\ast}, C_\varphi]$ on the Dirichlet space $\mathcal{D}(B_N)$, where $\varphi$ and $\psi$ are linear fractional self-maps or both automorphisms of $B_N$.
Imperfections for an equivalent surface impedance of a uniaxial wire medium

A uniaxial wire medium is a medium formed by a two-dimensional array of conducting parallel thin wires. An analytical study of small imperfections in positioning of wires is considered for an equivalent surface impedance of this wire medium. It is studied that effects of these small imperfections in positioning of wires introduce an equivalent additional surface impedance. This additional impedance is taken to be an error impedance which is mainly dependent upon the positioning error standard deviations along two orthogonal directions. It is further studied that an increase in the positioning error standard deviations along two perpendicular directions increases the magnitude of this error impedance. Also, if the propagation of wave is taken to be normal inside the wire medium then the effects of imperfections in a plane along direction of propagation are more pronounced than these imperfections in a plane transverse to the direction of propagation.
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach

We perform the asymptotic analysis of parabolic equations with stiff transport terms. This kind of problem occurs, for example, in collisional gyrokinetic theory for tokamak plasmas, where the velocity diffusion of the collision mechanism is dominated by the velocity advection along the Laplace force corresponding to a strong magnetic field. This work appeal to the filtering techniques. Removing the fast oscillations associated to the singular transport operator, leads to a stable family of profiles. The limit profile comes by averaging with respect to the fast time variable, and still satisfies a parabolic model, whose diffusion matrix is completely characterized in terms of the original diffusion matrix and the stiff transport operator. Introducing first order correctors allows us to obtain strong convergence results, for general initial conditions (not necessarily well prepared).
A De Giorgi–Type Conjecture for Minimal Solutions to a Nonlinear Stokes Equation

We study the one‐dimensional symmetry of solutions to the nonlinear Stokes equation {−Δu+∇W(u)=∇pin ℝd,∇⋅u=0in ℝd, which are periodic in the d − 1 last variables (living on the torus 𝕋d−1) and globally minimize the corresponding energy in Ω = ℝ × 𝕋d−1, i.e., Eu=∫Ω12∇u2+Wudx,∇⋅u=0.
Alpha-Thalassemia: Diversity of Clinical Phenotypes and Update on the Treatment

One of the more common single-gene disorders worldwide is α-thalassemia, carriers of which are found at variable frequencies (>1%) across all tropical and subtropical countries. Two linked α-globin genes on each allele of chromosome 16 regulate α-globin chain production. Deletion of one or more α-globin genes is the most frequent molecular defect found in α-thalassemia, whereas non-deletional mutations also occur, leading to unstable α-globin chains. HbH is the most common clinically important α-thalassemia disease and occurs when three α-globin genes are deleted/mutated, leaving only one copy of the gene intact. HbH can be divided into deletional (--/-α) and non-deletional genotypes (--/αTα). Whereas clinical phenotypes of the former are usually homogenously mild to moderate, those of the latter can be diverse. As HbH disease is particularly prevalent in Southeast Asia and some parts of the Mediterranean region, where β-thalassemia is also prevalent, affected patients are sometimes left undertreated. Therefore, hematologists and general physicians need to be educated to provide optimal disease monitoring and early identification of those with more severe phenotypes. Some issues regarding transfusion and iron chelation management differ from those of β-thalassemia, and these need to be recognized. Hb Bart’s hydrops fetalis syndrome (BHFS) is the most severe form of α-thalassemia; affected patients lack production of α-globin chains. Recent advances in fetal medicine and neonatal intensive care have made it possible for BHFS to no longer constitute a universally fatal disorder. Transfusion and chelation strategies for rare survivors are distinct and require updating.
Reduction of weakly nonlinear parabolic partial differential equations

It is known that the Swift-Hohenberg equation ∂u/∂t=−(∂x2+1)2u+ɛ(u−u3) can be reduced to the Ginzburg-Landau equation (amplitude equation) ∂A/∂t=4∂x2A+ɛ(A−3A|A|2) by means of the singular perturbation method. This means that if ɛ > 0 is sufficiently small, a solution of the latter equation provides an approximate solution of the former one. In this paper, a reduction of a certain class of a system of nonlinear parabolic equations ∂u/∂t=Pu+ɛf(u) is proposed. An amplitude equation of the system is defined and an error estimate of solutions is given. Further, it is proved under certain assumptions that if the amplitude equation has a stable steady state, then a given equation has a stable periodic solution. In particular, near the periodic solution, the error estimate of solutions holds uniformly in t > 0.
New measurements of stellar kinematics in the core of M87

New, high S/N spectra of the core of M87 are presented which confirm Dressler's (1980) claim that the velocity dispersion does not continue to rise within r = 1 arcsec, but levels off at sigma about 360 km/s (1980). The line strength of the Mg b feature falls sharply in the nucleus due to the contribution of a nonthermal spectrum. The central light spike in M87 is completely explained by this nonthermal component, in contradiction to Dressler's claim that much of the spike is due to a central star cluster. Maximum entropy models have been constructed to match the new data. They exclude the possibility of a supermassive black hole unless a highly contrived model is accepted. A model with no supermassive black hole which has a mild anisotropy in the stellar orbits is a good fit to the data, but a model having only slightly greater anisotropy can accommodate a central mass concentration of up to one billion solar masses. 17 refs.
SHOCK HUGONIOT OF AIR

Experiments are described in which an explosive‐driven plate sets up a strong shock in air in contact with the plate. Plate velocity and air shock velocity are measured by means of a high‐speed framing camera. A pressure‐compression relation results from these measurements through use of the conservation equations of hydrodynamics. The experimental results up to pressures of 200 bars are compared to a calculated relation.
Sound generation by unsteady flow ejecting from the vibrating glottis based on a distributed parameter model of the vocal cords

The purpose of the present paper is to clarify the effects of unsteady glottal flow on phonation. We perform numerical experiments with respect to vocal cord vibrations in order to verify the validity of the proposed model for a glottal sound source. In addition, the prediction of pressure waves induced by unsteady glottal jets is attempted. Good agreement between the numerical results and the measured data of the properties of the glottal source indicates that the proposed model is a good tool for the analysis of speech production. Simulated pulsatile glottal jets show the generation of high-frequency noises in a pressure wave at the glottis and the unsteady and asymmetric motion of vortices. These vortices cause amplitude fluctuations in the pressure wave downstream near the glottis, although pressure waves far from the glottis are not greatly affected. In conclusion, the unsteady glottal flow affects only the area near the glottis and does not greatly affect speech waves radiating from the mouth.
CAN COMPANY SIZE AND FINANCIAL DISTRESS MODERATE IN SOLVE STOCK RETURNS IN RETAIL SECTOR COMPANIES

This study discusses the effect of Total Asset Turnover (TATO), Price Earning Ratio (PER) and Times Interest Earned Ratio (TIE) to Stock Return with Company Size and Financial Distrsess as a moderating variable . This research uses the object of Retail sub-sector companies in Southeast Asia for the period 2012-2020. The data collected is secondary data with the documentation method in the form of the company's annual report. The sampling method used in this study using purposive sampling technique and obtained 15 companies with a sample of 135 samples. The analysis technique used is Moderated Regression Analysis (MRA), analysis, multiple linear regression, partial test and simultaneous test. The results of the study partially concluded that Total Asset Turnover has no effect on Stock Return, Price Earning Ratio significant effect on Stock Return, and Times Interest Earned Ratio significant effect on Stock Return . The results of the study simultaneously showed that the F-count value was 3.649 and the F-table was 2.70, meaning that the F-count > F-table or a significant value of 0.015 <0.05. So, Total Asset Turnover, Price Earning Ratio and Times Interest Earned Ratio together (simultaneously) have a significant effect on stock return. The results of the study by Moderated Regression Analysis (MRA) concluded that Company Size and Financial Distrsess does not moderate Total Asset Turnover on Stock Return, Company Size and Financial Distrsess does not moderate Price Earning Ratio to Stock Return, and Company Size and Financial Distrsess does not moderate Times Interest Earned Ratio to Stock Return .
Logarithmic conformal invariance in the Abelian sandpile model

We review the status of the two-dimensional Abelian sandpile model as a strong candidate to provide a lattice realization of logarithmic conformal invariance with a central charge c = −2. Evidence supporting this view is collected from various aspects of the model. These include the study of some conformally invariant boundary conditions, and the corresponding boundary condition changing fields, the calculation of correlations of certain bulk and boundary observables (the height variables) as well as a proper account of the necessary dissipation, which allows for a physical understanding of some of the strange but generic features of logarithmic theories.
A note on harmonic number identities, Stirling series and multiple zeta values

We study a general type of series and relate special cases of it to Stirling series, infinite series discussed by Choi and Hoffman, and also to special values of the Arakawa–Kaneko zeta function, studied before amongst others by Candelpergher and Coppo, and also by Young. We complement and generalize earlier results. Moreover, we survey properties of certain truncated multiple zeta and zeta star values, pointing out their relation to finite sums of harmonic numbers. We also discuss the duality result of Hoffman, relating binomial sums and truncated multiple zeta star values.
Behavioral Phenotyping of Bbs6 and Bbs8 Knockout Mice Reveals Major Alterations in Communication and Anxiety

The primary cilium is an organelle with a central role in cellular signal perception. Mutations in genes that encode cilia-associated proteins result in a collection of human syndromes collectively termed ciliopathies. Of these, the Bardet-Biedl syndrome (BBS) is considered one of the archetypical ciliopathies, as patients exhibit virtually all respective clinical phenotypes, such as pathological changes of the retina or the kidney. However, the behavioral phenotype associated with ciliary dysfunction has received little attention thus far. Here, we extensively characterized the behavior of two rodent models of BBS, Bbs6/Mkks, and Bbs8/Ttc8 knockout mice concerning social behavior, anxiety, and cognitive abilities. While learning tasks remained unaffected due to the genotype, we observed diminished social behavior and altered communication. Additionally, Bbs knockout mice displayed reduced anxiety. This was not due to altered adrenal gland function or corticosterone serum levels. However, hypothalamic expression of Lsamp, the limbic system associated protein, and Adam10, a protease acting on Lsamp, were reduced. This was accompanied by changes in characteristics of adult hypothalamic neurosphere cultures. In conclusion, we provide evidence that behavioral changes in Bbs knockout mice are mainly found in social and anxiety traits and might be based on an altered architecture of the hypothalamus.
Isoperimetric structure of asymptotically conical manifolds

We study the isoperimetric structure of Riemannian manifolds that are asymptotic to cones with non-negative Ricci curvature. Specifically, we generalize to this setting the seminal results of G. Huisken and S. -T. Yau on the existence of a canonical foliation by volume preserving stable constant mean curvature surfaces at infinity of asymptotically flat manifolds as well as the results of the second-named author with S. Brendle and J. Metzger on the isoperimetric structure of asymptotically flat manifolds. We also include an observation on the isoperimetric cone angle of such manifolds. This result is a natural analogue of the positive mass theorem in this setting.
Non‐stormtime injection of energetic particles into the slot‐region between Earth's inner and outer electron radiation belts as observed by STSAT‐1 and NOAA‐POES

The slot‐region between Earth's inner and outer electron radiation belts was observed on 24 February 2004 by the satellite STSAT‐1 to be populated by quasi‐trapped electrons of energy 100‐400 keV. This injection lasted for several hours and took place during a non‐stormtime substorm. This appears to be the first observation of a slot‐region electron injection that did not occur during a geomagnetic storm. We also report multi‐instrument observations of this event from NOAA‐POES and CPMN magnetic observatories, and we consider physical mechanisms that may account for the phenomenon.
Abnormal Alpha-1 Antitrypsin Levels and Other Risk Factors Associated with Lung Function Impairment at 6 and 12 Months after Hospitalization Due to COVID-19: A Cohort Study

Respiratory function deficits are common sequelae for COVID-19. In this study, we aimed to identify the medical conditions that may influence lung function impairment at 12 months after SARS-CoV2 infection and to analyze the role of alpha-1 antytripsin (AAT) deficiciency (AATD). A cohort study was conducted on hospitalized COVID-19 pneumonia patients in Granada (Spain) during the first infection wave who were referred to a post-COVID-19 hospital clinic. The patients were monitored with three follow-up visits from May 2020 to May 2021. Previous medical history, hospital admission data, baseline parameters and physical examination data were collected at the first visit. Pulmonary function tests were performed at 6 and 12 months together with the determination of AAT level and AATD genotype. After 12 months, 49 out of 157 patients (31.2%) continued to have lung function impairment. A multivariate analysis showed a statistically significant association of lung function impairment with: higher Charlson index; pneumonia with a central and/or mixed distribution; anemia on admission; time in intensive care; need for corticosteroid boluses; abnormal respiratory sounds at 6 months; elevated lactate dehydrogenase at 12 months; abnormal AAT; and MZ genotype. Our results suggest that these medical conditions predispose COVID-19 patients to develop long-term lung function sequelae.
Semiparametric estimation of the fractional differencing parameter in the UK industrial production index

The order of integration of the industrial production index in the UK is investigated by means of semiparametric techniques in the time and in the frequency domain. Several methods like the R\S statistic, along with others proposed by Robinson in a number of articles are applied to various differenced transformations of the log of the series. These methods perform poorly when using the time domain approaches, however, when using the frequency domain, the results are fairly conclusive. Evidence is found of a unit root at the zero frequency in the logged series whether or not the series is monthly seasonally differenced first.
dc‐ac hot‐wire procedure for determining thermophysical properties under pressure

The paper describes a new hot‐wire method for simultaneous determination of thermal conductivity and heat capacity per unit volume of electrically insulating liquids and solids under pressure. The method uses dc heating of the hot wire, whereas the temperature increase is recorded by an ac bridge circuit. The temperature data obtained are analyzed using the exact solution instead of the commonly used long time approximation. The procedure was tested on a number of alcohols and water and the accuracy was found to be 1.5%. New data on glycerol up to 1.5 GPa are presented. The appearance of an automagnetoresistance effect when Ni is employed as hot‐wire probe is discussed.