Miracle-dz/UniFAR-FTUs huggingface dataset:
From $S^1$-fixed points to $\mathcal{W}$-algebra representations

We study a set $\mathcal{M}_{K,N}$ parameterizing filtered $SL(K)$-Higgs bundles over $\mathbb{CP}^1$ with an irregular singularity at $z = \infty$, such that the eigenvalues of the Higgs field grow like $\lvert \lambda \rvert \sim \lvert z ^{N/K} \mathrm{d} z \rvert$, where $K$ and $N$ are coprime. $\mathcal{M}_{K,N}$ carries a $\mathbb{C}^\times$-action analogous to the famous $\mathbb{C}^\times$-action introduced by Hitchin on the moduli spaces of Higgs bundles over compact curves. The construction of this $\mathbb{C}^\times$-action on $\mathcal{M}_{K,N}$ involves the rotation automorphism of the base $\mathbb{CP}^1$. We classify the fixed points of this $\mathbb{C}^\times$-action, and exhibit a curious $1$-$1$ correspondence between these fixed points and certain representations of the vertex algebra $\mathcal{W}_K$; in particular we have the relation $\mu = \frac{1}{12} \left(K - 1 - c_{\mathrm{eff}} \right)$, where $\mu$ is a regulated version of the $L^2$ norm of the Higgs field, and $c_{\mathrm{eff}}$ is the effective Virasoro central charge of the corresponding $W$-algebra representation. We also discuss a Bialynicki-Birula-type stratification of $\mathcal{M}_{K,N}$, where the strata are labeled by isomorphism classes of the underlying filtered vector bundles.
The Role of Emotional Dysregulation, Impulsivity Traits and Aggressive Behaviors in Adolescents Who Sustain Multiple Motor-Vehicle Crashes

Adolescents tend to experience multiple motor-vehicle crashes (MVCs). Recent literature has thoroughly explored the psychological consequences following an MVC, but prior psychological functioning, the ability to regulate one’s emotions and tendencies to impulsivity and aggressive behaviors have been far less explored. This study aims to explore the emotional–behavioral functioning, measured with the Youth Self-Report (YSR); emotional dysregulation, measured with the Difficulties in Emotional Regulation Scale (DERS); impulsivity traits, measured with the Barratt Impulsiveness Scale (BIS-11); and the capacity to be mindful, measured with the Mindful Attention Awareness Scale (MAAS), in adolescents that have experienced one or more MVCs in a year. N = 295 adolescents who visited an emergency department for MVCs were divided in two groups based on the number of MVCs they had sustained over the course of a year. The adolescents in Group 1 sustained more than three MVCs, and adolescents in Group 2 sustained only one. Participants were assessed through self-report questionnaires. Adolescents showed difficulties in emotional regulation, impulsivity traits, aggressive behaviors and a low capacity to be mindful. These results may be useful in the creation of intervention and prevention programs focused on emotional awareness targets for adolescents.
A construction procedure of a Lyapunov function in stability analysis of fuzzy systems with singleton consequents

A construction procedure of a quadratic Lyapunov function is proposed to analyze the stability of fuzzy systems with singleton consequents. LMI (linear matrix inequality) and sequential quadratic programming are used to find the Lyapunov function which satisfies the stability conditions. The stability conditions are classified into two parts: conditions which can be converted to LMI form by introducing slack variables and by using Schur complements, and conditions which can not be converted. The proposed method is illustrated by a numerical example.
Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background

We study the extremal particles of the two-dimensional Coulomb gas with confinement generated by a radially symmetric positive background in the determinantal case and the zeros of the corresponding random polynomials. We show that when the background is supported on the unit disk, the point process of the particles outside of the disk converges towards a universal point process, i.e. that does not depend on the background. This limiting point process may be seen as the determinantal point process governed by the Bergman kernel on the complement of the unit disk. It has an infinite number of particles and its maximum is a heavy tailed random variable. To prove this convergence we study the case where the confinement is generated by a positive background outside of the unit disk. For this model we show that the point process of the particles inside the disk converges towards the determinantal point process governed by the Bergman kernel on the unit disk. In the case where the background is unbounded, we study the speed at which the farthest particle of the Coulomb gas converges to infinity, and we obtain similar results for the associated random polynomials.
A Novel R2R3-MYB Transcription Factor FtMYB22 Negatively Regulates Salt and Drought Stress through ABA-Dependent Pathway

Tartary buckwheat (Fagopyrum tataricum Gaertn.) is a coarse cereal with strongly abiotic resistance. The MYB family plays a regulatory role in plant growth, development, and responses to biotic and abiotic stresses. However, the characteristics and regulatory mechanisms of MYB transcription factors in Tartary buckwheat remain unclarified. Here, this study cloned the FtMYB22 gene from Tartary buckwheat, and investigated its involvement in responding to individual water deficit and salt stress in Arabidopsis. Sequence analysis highlighted that the N-termini of FtMYB22 contained two highly conserved SANT domains and one conserved domain from the SG20 subfamily. Nucleus-localized FtMYB22 did not have individual transcriptional activation activity. Water deficiency and salt stress induced the high expression of the GUS gene, which was driven by the promoter of FtMYB22. Yeast stress experiments showed that the overexpression of FtMYB22 significantly reduced the growth activity of transgenic yeast under water deficit or salt stress. Consistently, the overexpression of FtMYB22 reduced the salt and water deficit stress resistance of the transgenic plants. In addition, physiological parameters showed that transgenic plants had lower proline and antioxidant enzyme activity under stress conditions. Compared to the wild-type (WT), transgenic plants accumulated more malondialdehyde (MDA), H2O2, and O2−; they also showed higher ion permeability and water loss rates of detached leaves under stress treatments. Notably, FtMYB22 was involved in plant stress resistance through an ABA-dependent pathway. Under stress conditions, the expression of RD29A, RD29B, PP2CA, KIN1, COR15A, and other genes in response to plant stress in transgenic lines was significantly lower than that in the WT (p < 0.05). Furthermore, yeast two-hybrid assay showed that there was a significant interaction between FtMYB22 and the ABA receptor protein RCAR1/2, which functioned in the ABA signal pathway. Altogether, FtMYB22, as a negative regulator, inhibited a variety of physiological and biochemical reactions, affected gene expression and stomatal closure in transgenic plants through the ABA-dependent pathway, and reduced the tolerance of transgenic Arabidopsis to water deficiency and salt stress. Based on these fundamental verifications, further studies would shed light on the hormone signal response mechanism of FtMYB22.
Operators with analytic orbit for the torus action

Let $T^n$ denote the n-dimensional torus. The class of the bounded operators on $L^2(T^n)$ with analytic orbit under the action of $T^n$ by conjugation with the translation operators is shown to coincide with the class of the zero-order pseudodifferential operators on $T^n$ whose discrete symbol $(a_j)_{j\in Z^n}$ is uniformly analytic, in the sense that there exists $C>1$ such that the derivatives of $a_j$ satisfy $|\partial^\alpha a_j(x)|\leq C^{1+|\alpha|}\alpha! $ for all $x\in T^n$, all $j\in Z^n$ and all $\alpha\in N^n$. This implies that this class of pseudodifferential operators is a spectrally invariant *-subalgebra of the algebra of all bounded operators on $L^2(T^n)$.
Entropic formulation of the uncertainty principle for the number and annihilation operators

An entropic approach to formulating uncertainty relations for the number–annihilation pair is considered. We construct some normal operator that traces the annihilation operator as well as commuting quadratures with a complete system of common eigenfunctions. Expanding the measured wave function with respect to them, one obtains a relevant probability distribution. Another distribution is naturally generated by measuring the number operator. Due to the Riesz–Thorin theorem, there exists a nontrivial inequality between corresponding functionals of the above distributions. We find the bound in this inequality and further derive uncertainty relations in terms of both the Rényi and Tsallis entropies. Entropic uncertainty relations for a continuous distribution as well as relations for a discretized one are presented.
Factors Influencing the Booking Gestational Age Among Antenatal Clinic Attendees at Primary Health Centers in South West, Nigeria: A Cross-Sectional Study

Background Antenatal care (ANC) is a recognized factor for favorable pregnancy outcomes. Despite the benefits associated with early initiation of antenatal care, late booking still predominates in sub-Saharan Africa including Nigeria. Objective This study aimed to assess the factors, including family dynamics, associated with the booking gestational age among women attending ANC clinics in a Local Government Area of Osun State, Nigeria. Methods A descriptive cross-sectional study was conducted among 255 pregnant women attending ANC at the Primary Health Centres in Osun State, who were selected by stratified random sampling technique. Data were obtained with aid of a semi-structured questionnaire and subjected to descriptive and inferential analyses. Results The mean age of respondents was 27.3 ± 5.1 years. Their mean booking gestational age was 23.0 ± 6.6 weeks, while the majority (85.3%) booked late for ANC. Most (122, 54.2%) of the respondents booked in the second trimester. The opinion of the husband influenced most women (54.2%) in the decision regarding the time of ANC booking. There was no association between the booking gestational age and each of respondents’ age, education, parity, perceived family support, level of family functioning, and other sociodemographic characteristics. The booking GA was however significantly related to the previous booking GA at the last pregnancy (p = .004). Conclusion Late initiation of antenatal care was high among pregnant women attending PHCs in the study area and it was not associated with measures of family dynamics. The predominant influence of husbands’ opinion on time of booking suggests the need for strategic outreach to males through relevant reproductive health educational campaigns.
A Segmental Approach from Molecular Profiling to Medical Imaging to Study Bicuspid Aortic Valve Aortopathy

Bicuspid aortic valve (BAV) patients develop ascending aortic (AAo) dilation. The pathogenesis of BAV aortopathy (genetic vs. haemodynamic) remains unclear. This study aims to identify regional changes around the AAo wall in BAV patients with aortopathy, integrating molecular data and clinical imaging. BAV patients with aortopathy (n = 15) were prospectively recruited to surgically collect aortic tissue and measure molecular markers across the AAo circumference. Dilated (anterior/right) vs. non-dilated (posterior/left) circumferential segments were profiled for whole-genomic microRNAs (next-generation RNA sequencing, miRCURY LNA PCR), protein content (tandem mass spectrometry), and elastin fragmentation and degeneration (histomorphometric analysis). Integrated bioinformatic analyses of RNA sequencing and proteomic datasets identified five microRNAs (miR-128-3p, miR-210-3p, miR-150-5p, miR-199b-5p, and miR-21-5p) differentially expressed across the AAo circumference. Among them, three miRNAs (miR-128-3p, miR-150-5p, and miR-199b-5p) were predicted to have an effect on eight common target genes, whose expression was dysregulated, according to proteomic analyses, and involved in the vascular-endothelial growth-factor signalling, Hippo signalling, and arachidonic acid pathways. Decreased elastic fibre levels and elastic layer thickness were observed in the dilated segments. Additionally, in a subset of patients n = 6/15, a four-dimensional cardiac magnetic resonance (CMR) scan was performed. Interestingly, an increase in wall shear stress (WSS) was observed at the anterior/right wall segments, concomitantly with the differentially expressed miRNAs and decreased elastic fibres. This study identified new miRNAs involved in the BAV aortic wall and revealed the concomitant expressional dysregulation of miRNAs, proteins, and elastic fibres on the anterior/right wall in dilated BAV patients, corresponding to regions of elevated WSS.
ELITIST MULTI-OBJECTIVE GENETIC ALGORITHMS TO SOLVE TIME-COST TRADE OFF PROBLEM IN CONSTRUCTION INDUSTRY

: Time-cost trade off problem one of the most popular conflict multi objective optimization, which contain two conflict objectives function (time and cost). A set of optimal solutions (largely known as Pareto-optimal solutions) are arise, instead of a single optimal solution. This paper introduces multi-elitism techniques and multi selection processes to guide the genetic algorithm for finding multiple nondominated solutions Pareto front (time-cost trade off curve) that enjoy accuracy, a proximity to optimal Pareto front and diversity, which gives the project managers alternatives to help them make the right decision to implement the project more confidently. The VBA and Julia programming language has been used in writing code for these algorithms and show results.
Investigation of phase contrast hard X‐ray microscopy using planar sets of refractive crossed linear parabolic lenses made from SU‐8 polymer

Planar X‐ray refractive lenses with parabolic surface profile, and in crossed geometry to provide 2D focusing, are fabricated from SU‐8 polymer using the LIGA process and deep X‐ray lithography technology. A transmission X‐ray microscope (TXM) using a condenser and an objective lens based on this type of X‐ray optics was set up at the ESRF beamline BM 5, for photon energies of 17.1 and 18 keV. Test structures made of gold and SU‐8, with different thicknesses, were imaged with this TXM using in‐line phase‐contrast, with X‐ray magnification factors of 13–20, spatial resolution between 0.2 and 0.3 µm and exposure times around 1 s. The advantages of a TXM based on refractive SU‐8 planar crossed condenser and objective and the optimisation of the optical scheme and of the condenser focusing profile are discussed. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Vanishing contact structure problem and convergence of the viscosity solutions

Abstract This article is devoted to studying the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a family of Hamiltonians of contact type with parameter and converge to G(x, p). For the contact type Hamilton-Jacobi equation with respect to we prove that, under mild assumptions, the associated viscosity solution converges to a specific viscosity solution u0 of the vanished contact equation. As applications, we give some convergence results for the nonlinear vanishing discount problem.
Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces

The Rényi entropies of Coulomb systems are logarithms of power functionals of the electron density which quantify most appropriately the electron uncertainty and describe numerous physical observables. However, their analytical determination is a hard issue not yet solved except for the first lowest-lying energetic states of some specific systems. This is so even for the D-dimensional hydrogenic system, which is the main prototype of the multidimensional Coulomb many-body systems. Recently, the Rényi entropies of this system have been found in the two extreme high-energy (Rydberg) and high-dimensional (pseudo-classical) cases. In this work we determine the position and momentum Rényi entropies (with integer p greater than 1) for all the discrete stationary states of the multidimensional hydrogenic system directly in terms of the hyperquantum numbers which characterize the states, nuclear charge and space dimensionality. We have used a methodology based on linearization formulas for powers of the orthogonal Laguerre and Gegenbauer polynomials which control the hydrogenic states.
Nonlinear effects in long‐range underwater acoustic propagation

Abstract : This report investigates the propagation of finite amplitude acoustic signals through an inhomogeneous ocean both analytically and numerically. In the numerical study the ocean is assumed to be stratified. The effects of inhomogeneity, ordinary attenuation and dispersion, and nonlinear geometrical acoustics. Two explosion waveforms are considered: a weak shock with an exponentially decaying tail and a more realistic waveform that includes the first bubble pulse. Numerical propagation of the simpler wave along with 58.1 km path starting at a depth of 300 m leads to the following conclusions: (1) The effect of inhomogeneity on nonlinear distortion is small. (2) Dispersion plays an important role in determining the arrival time of the pulse. (3) Neither nonlinearity nor ordinary attenuation (and dispersion) are paramount; both need to be included. For a more realistic wave, propagation is along a 23 km ray path starting from a depth of 4300 m. Two charge weights, 0.818 kg and 22.7 kg TNT, are assumed. In each case the energy spectrum of the signal obtained by considering finite amplitude effects for the entire 23 km path is compared with spectra obtained by neglecting finite amplitude effects entirely, after the first 150 m, and after the first 1100 m. Finite amplitude effects are of small consequence in the case of the 0.818 kg TNT explosion for frequencies below 6 KHz at distances beyond 1100 m. For the 22.7 kg explosion the corresponding quantities are 4 kHz and 1100 m.
Plasma Metabolic Disturbances in Parkinson’s Disease Patients

Plasma from patients with Parkinson’s disease (PD) is a valuable source of information indicating altered metabolites associated with the risk or progression of the disease. Neurotoxicity of dopaminergic neurons, which is triggered by aggregation of α-synuclein, is the main pathogenic feature of PD. However, a growing body of scientific reports indicates that metabolic changes may precede and directly contribute to neurodegeneration. Identification and characterization of the abnormal metabolic pattern in patients’ plasma are therefore crucial for the search for potential PD biomarkers. The aims of the present study were (1) to identify metabolic alterations in plasma metabolome in subjects with PD as compared with the controls; (2) to find new potential markers, some correlations among them; (3) to identify metabolic pathways relevant to the pathophysiology of PD. Plasma samples from patients with PD (n = 25) and control group (n = 12) were collected and the gas chromatography-time-of-flight-mass spectrometry GC-TOFMS-based metabolomics approach was used to evaluate the metabolic changes based on the identified 14 metabolites with significantly altered levels using univariate and multivariate statistical analysis. The panel, including 6 metabolites (L-3-methoxytyrosine, aconitic acid, L-methionine, 13-docosenamide, hippuric acid, 9,12-octadecadienoic acid), was identified to discriminate PD from controls with the area under the curve (AUC) of 0.975, with an accuracy of 92%. We also used statistical criteria to identify the significantly altered level of metabolites. The metabolic pathways involved were associated with linoleic acid metabolism, mitochondrial electron transport chain, glycerolipid metabolism, and bile acid biosynthesis. These abnormal metabolic changes in the plasma of patients with PD were mainly related to the amino acid metabolism, TCA cycle metabolism, and mitochondrial function.
Study of Topical Potassium Hydroxide versus Candida Antigen Immunotherapy for Molluscum Contagiosum Management

Background: Molluscum Contagiosum (MC) has no FDA-approved treatments as of yet. Although many other treatments have been suggested, the majority of the efficacy evidence comes from modest case studies. Objectives: The aim of the current work was to evaluate the safety as well as efficacy of intralesional candida Ag immunotherapy versus topical KOH (10 %) in the treatment of MC. Patients and methods: A total of 40 patients (21females and 19 males) with multiple lesions of MC. They were divided into two equal groups at random; group 1 treated by candida antigen at 2 weeks intervals with a maximum of five injections or clinical cure. Group 2 subjected to topical 10% KOH twice daily for ten weeks. Results: Complete clinical response was attained in 80% of MC patients who treated with candida antigen for 10 weeks versus 85% of patients who treated with topical KOH for 10 weeks, while 20 % of patients showed no response in group 1 versus 5% in group 2 after the end of therapy. without recurrence after 3 months in all patients demonstrating complete reaction. In group 1, most patients tolerated the side effects, which in 5% of cases manifested as erythema and hyperpigmentation. While in group 2, hypopigmentation (15%), hyperpigmentation (10%), pruritus (10%) during treatment were reported. There was significant reported burning sensation among 25% of patients treated with topical potassium hydroxide (P = 0.047). concluded that both topically applied KOH10% and intralesional candida are dependable, less expensive treatments for non-genital MC.
BACK-TESTING APPROACHES FOR VALIDATING VAR MODELS

Value at risk (VaR) is one of the important market risk measures. It measures the possible potential loss on given investment in terms of value, with certain probability for certain time horizon. In this paper, our aim is to discuss different back-testing approaches to validate VaR models, and also test it the real market data. We back tested VaR of Nifty 50 index obtained by Variance Co-variance method, Historical simulation method, Monte-Carlo simulation, and cubic polynomial regression method. We have used Total exceptions by binary back-testing over entire population. we have also used Basel Traffic Light Zone Test, Kupiec POF-test, Kupiec TUFF-test, and Haas’ Mixed-Kupiec test and analyzed the above methods.
Radio Polarimetry of the ELAIS N1 Field: Polarized Compact Sources

We present deep polarimetric observations at 1420 MHz of the European Large Area ISO Survey North 1 region (ELAIS N1) as part of the Dominion Radio Astrophysical Observatory Planck Deep Fields project. By combining closely spaced aperture synthesis fields, we image a region of 7.43 deg2 to a maximum sensitivity in Stokes Q and U of 78 μJy beam-1, and detect 786 compact sources in Stokes I. Of these, 83 exhibit polarized emission. We find that the differential source counts (log N- log p) for polarized sources are nearly constant down to p > 500 μJy, and that these faint polarized radio sources are more highly polarized than the strong source population. The median fractional polarization is 4.8% ± 0.7% for polarized sources with Stokes I flux density between 10 and 30 mJy, approximately 3 times larger than sources with I > 100 mJy. The majority of the polarized sources have been identified with galaxies in the Spitzer Wide Area Infrared Extragalactic Survey (SWIRE) image of ELAIS N1. Most of the galaxies occupy regions in the IRAC 5.8 μm/3.6 μm versus 8.0 μm/4.5 μm color-color diagram associated with dusty AGNs, or with ellipticals with an aging stellar population. A few host galaxies have colors that suggests significant PAH emission in the near-infrared. A small fraction, 12%, of the polarized sources are not detected in the SWIRE data. None of the polarized sources in our sample appears to be associated with an actively star-forming galaxy.