Miracle-dz/UniFAR-FTUs huggingface dataset:
Donaldson-Thomas invariants, torus knots, and lattice paths

In this paper, we find and explore the correspondence between quivers, torus knots, and combinatorics of counting paths. Our first result pertains to quiver representation theory—we find explicit formulas for classical generating functions and Donaldson-Thomas invariants of an arbitrary symmetric quiver. We then focus on quivers corresponding to (r, s) torus knots and show that their classical generating functions, in the extremal limit and framing rs, are generating functions of lattice paths under the line of the slope r/s. Generating functions of such paths satisfy extremal A-polynomial equations, which immediately follows after representing them in terms of the Duchon grammar. Moreover, these extremal A-polynomial equations encode Donaldson-Thomas invariants, which provides an interesting example of algebraicity of generating functions of these invariants. We also find a quantum generalization of these statements, i.e. a relation between motivic quiver generating functions, quantum extremal knot invariants, and q-weighted path counting. Finally, in the case of the unknot, we generalize this correspondence to the full HOMFLY-PT invariants and counting of Schroder paths.
On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces

Given a coarse space $(X,\mathcal{E})$, one can define a $\mathrm{C}^*$-algebra $\mathrm{C}^*_u(X)$ called the uniform Roe algebra of $(X,\mathcal{E})$. It has been proved by J. \v{S}pakula and R. Willett that if the uniform Roe algebras of two uniformly locally finite metric spaces with property A are isomorphic, then the metric spaces are coarsely equivalent to each other. In this paper, we look at the problem of generalizing this result for general coarse spaces and on weakening the hypothesis of the spaces having property A.
Continuous-Time Distributed Algorithms for Extended Monotropic Optimization Problems

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex functions assigned to agents in a multi-agent network, with private set constraints and affine equality constraints. Each agent only knows its local objective function, local constraint set, and neighbor information. We propose two novel continuous-time distributed subgradient-based algorithms with projected output feedback and derivative feedback, respectively, to solve the extended monotropic optimization problem. Moreover, we show that the algorithms converge to the optimal solutions under some mild conditions, by virtue of variational inequalities, Lagrangian methods, decomposition methods, and nonsmooth Lyapunov analysis. Finally, we give two examples to illustrate the applications of the proposed algorithms.
Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko–Lyubich functions

We show that there exists a hyperbolic entire function f of finite order of growth such that the hyperbolic dimension, that is, the Hausdorff dimension of the set of points in the Julia set of f whose orbit is bounded, is equal to 2. This is in contrast to the rational case, where the Julia set of a hyperbolic map must have Hausdorff dimension less than 2, and to the case of all known explicit hyperbolic entire functions.
Prospective Clinical Evaluation of the Diagnostic Accuracy of a Highly Sensitive Rapid Antigen Test Using Silver Amplification Technology for Emerging SARS-CoV-2 Variants

The COVID-19 pandemic caused by SARS-CoV-2 remains a serious health concern worldwide due to outbreaks of SARS-CoV-2 variants that can escape vaccine-acquired immunity and infect and transmit more efficiently. Therefore, an appropriate testing method for COVID-19 is essential for effective infection control and the prevention of local outbreaks. Compared to reverse-transcription polymerase chain reaction (RT-PCR) tests, antigen tests are used for simple point-of-care testing, enabling the identification of viral infections. In this study, we tested the clinical usefulness of the FUJIFILM COVID-19 Ag test, an antigen test based on silver amplification and immunochromatographic technology. The FUJIFILM COVID-19 Ag test was shown to detect a lower viral concentration as compared to other conventional kits without significant performance loss in detecting prevalent SARS-CoV-2 variants. We tested nasopharyngeal and nasal swabs from a single patient during two different epidemic periods dominated by various SARS-CoV-2 variants. We observed that the sensitivity of the FUJIFILM COVID-19 Ag test was 95.7% and 85.7% in nasopharyngeal and nasal swabs, respectively. These results suggest that the FUJIFILM COVID-19 Ag test is highly sensitive and applicable when RT-PCR testing is unavailable. Furthermore, these results indicate that high-frequency testing using nasal swab specimens may be a valuable screening strategy.
Spatial clustering of property abandonment in shrinking cities: a case study of targeted demolition in Buffalo, NY’s African American neighborhoods

ABSTRACT Many low-income and minority-concentrated neighborhoods have been struggling for decades with the acute problem of endemic abandonment in shrinking cities. Using high-resolution spatial–temporal data, this study attempts to extend our understanding of the influence of abandonment on future abandonment and the impact of interventions such as demolition by identifying spatial patterns of housing abandonment and demolition in Buffalo, New York when the city invested heavily in an aggressive 5-in-5 demolition plan targeting predominantly African American neighborhoods with high rates of abandonment. Our results confirmed that the clustering of abandoned properties has been consistently confined to the city's majority African American east side neighborhood. We found a higher level of duress housing sales on the east side after the 5-in-5 plan's implementation. In essence, 5-in-5 was a demolition and slum clearance policy akin to mid-twentieth-century urban renewal programs focusing on removing blighted properties without a concomitant revitalization component.
Clinical Utility of the Parent-Report Version of the Strengths and Difficulties Questionnaire (SDQ) in Latvian Child and Adolescent Psychiatry Practice

Background and Objectives: Screening instruments can be crucial in child and adolescent mental healthcare practice by allowing professionals to triage the patient flow in a limited resource setting and help in clinical decision making. Our study aimed to examine whether the Strengths and Difficulties Questionnaire (SDQ), with the application of the original UK-based scoring algorithm, can reliably detect children and adolescents with different mental disorders in a clinical population sample. Materials and Methods: a total of 363 outpatients aged 2 to 17 years from two outpatient child psychiatry centres in Latvia were screened with the parent-report version of the SDQ and assigned clinical psychiatric diagnoses. The ability of the SDQ to predict the clinical diagnosis in major diagnostic groups (emotional, conduct, hyperactivity, and developmental disorders) was assessed. Results: The subscales of the parent-report SDQ showed a significant correlation with the corresponding clinical diagnoses. The sensitivity of the SDQ ranged 65–78%, and the specificity was 57–78%. The discriminative ability of the SDQ, as measured by the diagnostic odds ratio, did not quite reach the level of clinical utility in specialised psychiatric settings. Conclusions: We suggest the SDQ be used in primary healthcare settings, where it can be an essential tool to help family physicians recognise children needing further specialised psychiatric evaluation. There is a need to assess the psychometric properties and validate the SDQ in a larger populational sample in Latvia, determine the population-specific cut-off scores, and reassess the performance of the scale in primary healthcare practice.
Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads

We consider two scalar conservation laws with non-local flux functions, describing traffic flow on roads with rough conditions. In the first model, the velocity of the car depends on an averaged downstream density, while in the second model one considers an averaged downstream velocity. The road condition is piecewise constant with a jump at $x=0$. We study stationary traveling wave profiles cross $x=0$, for all possible cases. We show that, depending on the case, there could exit infinitely many profiles, a unique profile, or no profiles at all. Furthermore, some of the profiles are time asymptotic solutions for the Cauchy problem of the conservation laws under mild assumption on the initial data, while other profiles are unstable.
JURNAL ETNOGRAFI

This paper aims to present a different perspective on presenting patriarchal bargains from the existing ones. The patriarchal system is generally understood as a system that places men as superior to women. In the western view, the patriarchal system has become a 'way of life which is considered ahistorical, eternal and the subordination of women is a universal act, so this hierarchy has always existed and will continue, and like other natural rules, this rule is also unchangeable and unnecessary. questioned again. Radical feminists embrace and apply classical patriarchal theory to explain almost all forms of male domination over the exploitation of women. However, women's responses to male domination vary widely, according to the objective opportunities available under each patriarchal variant, thus through patriarchal bargaining, Kandiyoti opens up opportunities for women to see patriarchy as an entity that is not eternal. Patriarchal bargain studies have also emerged with the dominance of a strong agency character. The agency character is indeed considered to have the power to target other forces outside the structure, but this becomes problematic because patriarchal bargain studies seem to ignore the existence of (partial) structure. While according to Giddens, agency plays in the realm of structure, just as the structure is an unavoidable epistemic aspect in social science, the structure is not conceptualized as only placing constraints on human agency, but is also seen as possible. Social change cannot be seen partially, both structure and agency are present simultaneously and interactively.
Visual homing guidance for projectiles using event-cameras

Compared to frame-based visual streams, event-driven visual streams offer very low bandwidth needs and high temporal resolution, making them an interesting choice for embedded object recognition. Such visual systems are seen to overcome standard cameras performances but have not yet been studied in the frame of Homing Guidance for projectiles, with drastic navigation constraints. This work starts from a first interaction model between a standard camera and an event camera, validated in the context of unattended ground sensors and situational awareness applications from a static position. In this paper we propose to extend this first interaction model by bringing a higher-level activity analysis and object recognition from a moving position. The proposed event-based terminal guidance system is studied firstly through a target laser designation scenario and the optical flow computation to validate guidance parameters. Real-time embedded processing techniques are evaluated, preparing the design of a future demonstrator of a very fast navigation system. The first results have been obtained using embedded Linux architectures with multi-threaded features extractions. This paper shows and comments these first results.
On the Dimension and Measure of Inhomogeneous Attractors

We investigate the upper box dimension of inhomogeneous attractors generated from iterated function systems. Our results have applications for affine systems with affinity dimension less than one and systems satisfying bounded distortion, such as conformal systems in dimensions greater than one. In particular, this generalises the result of Fraser on self-similar sets. We also apply the methods developed to investigate the Hausdorff measure at the critical value.
Soft Recovery With General Atomic Norms

This paper describes a dual certificate condition on a linear measurement operator $A$ (defined on a Hilbert space $\mathcal{H}$ and having finite-dimensional range) which guarantees that an atomic norm minimization, in a certain sense, will be able to approximately recover a structured signal $v_0 \in \mathcal{H}$ from measurements $Av_0$. Put very streamlined, the condition implies that peaks in a sparse decomposition of $v_0$ are close the the support of the atomic decomposition of the solution $v^*$. The condition applies in a relatively general context - in particular, the space $\mathcal{H}$ can be infinite-dimensional. The abstract framework is applied to several concrete examples, one example being super-resolution. In this process, several novel results which are interesting on its own are obtained.
On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras

Symonds' proof of Benson's regularity conjecture implies that the regularity of the cohomology of a fusion system and that of the Hochschild cohomology of a p-block of a finite group is at most zero. Using results of Benson, Greenlees, and Symonds, we show that in both cases the regularity is equal to zero.
Accelerating dynamical peakons and their behaviour

A wide class of nonlinear dispersive wave equations are shown to possess a novel type of peakon solution in which the amplitude and speed of the peakon are time-dependent. These novel dynamical peakons exhibit a wide variety of different behaviours for their amplitude, speed, and acceleration, including an oscillatory amplitude and constant speed which describes a peakon breather. Examples are presented of families of nonlinear dispersive wave equations that illust rate various interesting behaviours, such as asymptotic travelling-wave peakons, dissipating/anti-dissipating peakons, direction-reversing peakons, runaway and blow up peakons, among others.
On the irreducibility and Galois group of Hecke polynomials

Let T_{n,2k}(X) be the characteristic polynomial of the n-th Hecke operator acting on the space of cusp forms of weight 2k for the full modular group (k is any even positive integer >5). We show that if there exists n>1 such that T_{n,2k}(X) is irreducible and has the full symmetric group as Galois group, then the same is true of T_{p,2k}(X) for all primes p.
Newspaper Reading in Families with School-Age Children: Relationship between Parent–Child Interaction Using Newspaper, Reading Motivation, and Academic Achievement

The present study aims to observe the patterns of newspaper subscription and reading and further explore the structural relationship between parent–child interactions, children’s reading motivation, and academic achievement in families with school-age children. Online surveys were administered to 1361 parents of elementary students from grade 1 to 6 across South Korea. Collected data were analyzed using SPSS and AMOS to conduct frequency analysis, correlation analysis, structural equation modeling, and bootstrapping analysis. Results showed the following. First, 17.0% of households subscribed to a newspaper, 28.5% of parents read paper newspapers, and 97.1% of parents read online newspapers. Second, parent–child interaction using newspapers had an indirect effect on children’s academic achievement through the mediating effect of reading motivation. Overall results revealed the functions of newspaper as part of home literacy environment and the newspaper’s positive contribution to a child’s reading motivation and academic achievement.
Multispecies TASEP and combinatorial R

We identify the algorithm for constructing steady states of the n-species totally asymmetric simple exclusion process (TASEP) on an L site periodic chain by Ferrari and Martin with a composition of combinatorial R for the quantum affine algebra U q ( sl ^ L ) ? > in crystal base theory. Based on this connection and the factorized form of the R matrix derived recently from the tetrahedron equation, we establish a new matrix product formula for the steady state of the TASEP, which is expressed in terms of corner transfer matrices of the q-oscillator valued five-vertex model at q = 0.
Exploring Students’ Public Speaking Anxiety: Introvert vs Extrovert

This study aims to investigate whether students with introverted and extroverted personalities have significantly different levels of anxiety or not. This study involved 59 students of the English Education Study Program at one of the state universities in North Sumatra. Samples were taken randomly from five classes of sixth semester students who took the Public Speaking course. Semi-structured technique was used in data collection. The data was processed by using two methods; statistical calculations for quantitative data related to the results of filling out questionnaires regarding their level of anxiety when doing public speaking which consists of 17 questions, as well as substantive analysis for qualitative data related to the results of comparison of responses from respondents. The results shows that that 31.03% of introvert students having high anxiety, followed by 68.97% students possessing moderate level of public speaking anxiety. In contrary, 13.33% of extrovert students having high anxiety, followed by 86.67% of them having moderate level of anxiety. The biggest anxiety of respondents is in context “my heart pounds when I give a speech”, where introvert students aver agely in 4.03 and extrovert students in 3.03. There are numerous suggestions that students and educators can use to overcome the issues. © 2022 JELS and the Authors - Published by JELS.
Local Dimensions of Measures of Finite Type II: Measures Without Full Support and With Non-regular Probabilities

Abstract Consider a finite sequence of linear contractions ${{S}_{j}}(x)\,=\,\rho x\,+{{d}_{j}}$ and probabilities $pj\,>\,0$ with $\Sigma \,{{p}_{j}}\,=\,1$ . We are interested in the self-similar measure $\mu \,=\,\Sigma \,{{p}_{j}}\,\mu \,{}^\circ \,s_{j}^{-1}$ , of finite type. In this paper we study the multi-fractal analysis of such measures, extending the theory to measures arising from non-regular probabilities and whose support is not necessarily an interval. Under some mild technical assumptions, we prove that there exists a subset of supp $\mu $ of full $\mu $ and Hausdorff measure, called the truly essential class, for which the set of (upper or lower) local dimensions is a closed interval. Within the truly essential class we show that there exists a point with local dimension exactly equal to the dimension of the support. We give an example where the set of local dimensions is a two element set, with all the elements of the truly essential class giving the same local dimension. We give general criteria for these measures to be absolutely continuous with respect to the associated Hausdorff measure of their support, and we show that the dimension of the support can be computed using only information about the essential class. To conclude, we present a detailed study of three examples. First, we show that the set of local dimensions of the biased Bernoulli convolution with contraction ratio the inverse of a simple Pisot number always admits an isolated point. We give a precise description of the essential class of a generalized Cantor set of finite type, and show that the $k$ -th convolution of the associated Cantor measure has local dimension at $x\,\in \,(0,\,1)$ tending to 1 as $k$ tends to infinity. Lastly, we show that within a maximal loop class that is not truly essential, the set of upper local dimensions need not be an interval. This is in contrast to the case for finite type measures with regular probabilities and full interval support.
Endoscopic endonasal transsphenoidal approach during COVID-19 pandemic in Brazil

Background: Endoscopic endonasal transsphenoidal approach (EETA) is a well-established technique for sellar tumor resection. However, this route causes aerosol dispersion from the nasal cavity. In the context of the coronavirus (COVID-19) pandemic, new measures were taken aiming at the safety and protection of patients and health-care professionals. Herein, we present a Brazilian experience with EETA during COVID-19 pandemic. Methods: This study was based on the review of medical records and observation in the operating room of the patients undergoing endoscopic surgery in the period from May 2020 to July 2022. All patients were tested by real-time polymerase chain reaction (RT-PCR) COVID-19 before and after surgery. Since September 2021, it has been mandatory to present vaccination cards for adults (over 18 years old). Results: This case series included 28 patients and 35 surgical procedures using the EETA, who presented of nonfunctioning macroadenomas (19 cases − 67.8%), GH-secreting tumor (three cases − 10.8%), ACTH-secreting tumor (three cases − 10.8%), meningiomas (two cases − 7.1%), and Rathke’s cleft cyst (one case – 3.5%). There were eight cases of diabetes insipidus (28.5%), five cases of cerebrospinal fluid leak (17.8%), and one case of meningitis (3.5%). Three patients died due to meningitis (one case), carotid occlusion (one case), and COVID-19 complications (one case). Conclusion: A simple protocol was established to perform EETA during the COVID-19 pandemic. The pituitary surgeries were maintained to treat critical cases. To date, the protocol should be continually updated to improve the procedure’s safety.
Model theory of fields with virtually free group actions

For a group G , we define the notion of a G‐kernel and show that the properties of G ‐kernels are closely related with the existence of a model companion of the theory of Galois actions of G . Using Bass–Serre theory, we show that this model companion exists for virtually free groups generalizing the existing results about free groups and finite groups. We show that the new theories we obtain are not simple and not even NTP 2 .
On Siegel eigenvarieties at Saito–Kurokawa points

We study the geometry of the Siegel eigenvariety $\mathcal{E}_{\Delta}$ of paramodular tame level $\Delta$ associated to a squarefree $N\in \mathbb{N}_{+}$ at certain points having a critical slope. For $k \geq 2$ let $f$ be a cuspidal eigenform of $\mathrm{S}_{2k-2}(\Gamma_0(N))$ ordinary at a prime $p\nmid N$ with sign $\epsilon_f=-1$ and write $\alpha$ for the unit root of the Hecke polynomial of $f$ at $p$. Let $\mathrm{SK}(f)_\alpha$ be the semi-ordinary $p$-stabilization of the Saito-Kurokawa lift of the cusp form $f$ to $\mathrm{GSp}(4)$ of weight $(k,k)$ of tame level $\Delta$. Under the assumption that the dimension of the Selmer group $H^1_{f,\mathrm{unr}}(\mathbb{Q},\rho_f(k-1))$ attached to $f$ is at most one and some mild assumptions on the mod $p$ representation $\bar \rho_f$ associated to $f$, we show that the rigid analytic space $\mathcal{E}_{\Delta}$ is smooth at the point $x$ corresponding to $\mathrm{SK}(f)_\alpha$. This means that there exists a unique irreducible component of $\mathcal{E}_{\Delta}$ specializing to $x$, and we also show that this irreducible component is not globally endoscopic. Finally we give an application to the Bloch-Kato conjecture, by proving under some mild assumptions on $\bar \rho_f$ that the smoothness failure of $\mathcal{E}_{\Delta}$ at $x$ yields that $\dim H^1_{f,\mathrm{unr}}(\mathbb{Q},\rho_f(k-1)) \geq 2$.