Miracle-dz/UniFAR-FTUs huggingface dataset:
Unlikely intersections in products of families of elliptic curves and the multiplicative group

Let $E_\lambda$ be the Legendre elliptic curve of equation $Y^2=X(X-1)(X-\lambda)$. We recently proved that, given $n$ linearly independent points $P_1(\lambda), \dots,P_n(\lambda)$ on $E_\lambda$ with coordinates in $\bar{\mathbb{Q}(\lambda)}$, there are at most finitely many complex numbers $\lambda_0$ such that the points $P_1(\lambda_0), \dots,P_n(\lambda_0)$ satisfy two independent relations on $E_{\lambda_0}$. In this article we continue our investigations on Unlikely Intersections in families of abelian varieties and consider the case of a curve in a product of two non-isogenous families of elliptic curves and in a family of split semi-abelian varieties.
Quiver varieties and elliptic quantum groups

We define a sheafified elliptic quantum group for any symmetric Kac-Moody Lie algebra. This definition is naturally obtained from the elliptic cohomological Hall algebra of a preprojective algebra. The sheafified elliptic quantum group is an algebra object in a certain monoidal category of coherent sheaves on the colored Hilbert scheme of an elliptic curve. We show that the elliptic quantum group acts on the equivariant elliptic cohomology of Nakajima quiver varieties. This action is compatible with the action induced by Hecke correspondence, a construction similar to that of Nakajima. The elliptic Drinfeld currents are obtained as generating series of certain rational sections of the sheafified elliptic quantum group. We show that the Drinfeld currents satisfy the commutation relations of the dynamical elliptic quantum group studied by Felder and Gautam-Toledano Laredo.
Collagenase-Induced Mouse Model of Osteoarthritis—A Thorough Flow Cytometry Analysis

Objectives: Osteoarthritis (OA) is a chronic degenerative disorder of the joint characterized by cartilage breakdown and synovial inflammation. A number of different cells of innate and adaptive immunity contribute to joint pathology during OA inflammation. The interaction between the local synovial and systemic inflammatory cellular response and the structural changes in the joint is still unknown. The objective of this study was to investigate the role of the different types of immune cells in the development of OA. Methods: Collagenase-induced osteoarthritis was induced in Balb/c mice; flow cytometry analysis; and histopathological damages were assessed in histological sections stained with H&E, Toluidine blue, and Safranin O. Results: Flow cytometry analysis showed B lymphocyte infiltration in the active phase of inflammation and an increase in the effector T cell population into the synovium. An increased activation state of cytotoxic T cells and of NK cell populations in the spleen and synovium was also found. The differentiation of NK cells from a cytotoxic phenotype in early OA to cells with an effector phenotype in the chronic phase of the disease followed. Conclusions: A number of different cells contribute to inflammatory processes in OA. The correlation between their phenotype and the inflammatory pathophysiology could result in the development of novel approaches to suppress destructive changes in the joint.
Triple Antiplatelet Therapy with Cilostazol and Favorable Early Clinical Outcomes after Acute Myocardial Infarction Compared to Dual Antiplatelet Therapy with Standard or Potent P2Y12 Inhibitors

Current guidelines for the management of acute myocardial infarction (AMI) recommend potent P2Y12 inhibitors rather than clopidogrel to prevent ischemic events. However, their ischemic benefits are offset by an increased major bleeding risk. We compared the efficacy and safety of triple antiplatelet therapy with cilostazol in the first month after AMI. This study investigated 16,643 AMI patients who received percutaneous coronary intervention (PCI) with drug-eluting stents (DES) in nationwide, real-world, multicenter registries in Korea. Patients were divided into DAPT (aspirin and clopidogrel, n = 11,285), Triple (aspirin, clopidogrel and cilostazol, n = 2547), and Potent (aspirin and ticagrelor/prasugrel, n = 2811) groups. The primary outcomes were net adverse clinical events (NACE), a composite of death from any cause, myocardial infarction (MI), stroke, and TIMI major bleeding one month after AMI. After adjusting for covariates, there were no statistically significant differences in the risk of death from any cause, MI, or stroke between the three groups. However, the risk of TIMI major bleeding was significantly greater in the Potent group than in the DAPT and Triple groups (p < 0.001). Accordingly, NACE was significantly higher in the DAPT (HR 1.265; 95% CI 1.006–1.591, p = 0.044) and Potent groups (HR 1.515; 95% CI 1.142–2.011, p = 0.004) than in the Triple group. Triple antiplatelet therapy with cilostazol was associated with an improved net clinical outcome in the first month after AMI without increasing the risk of bleeding compared to potent or standard P2Y12 inhibitor-based DAPT.
Comparative Pan-Genomic Analysis Revealed an Improved Multi-Locus Sequence Typing Scheme for Staphylococcus aureus

The growing prevalence of antibiotic-resistant Staphylococcus aureus strains mandates selective susceptibility testing and epidemiological investigations. It also draws attention to an efficient typing strategy. Whole genome sequencing helps in genetic comparison, strain differentiation, and typing; however, it is not that cost-effective. In comparison, Multi-Locus Sequence Typing (MLST) is an efficient typing method employed for bacterial strain typing and characterizations. In this paper, a comprehensive pangenome and phylogenetic analysis of 502/1279 S. aureus genomes is carried out to understand the species divergence. Additionally, the current Multi-Locus Sequence Typing (MLST) scheme was evaluated, and genes were excluded or substituted by alternative genes based on reported shortcomings, genomic data, and statistical scores calculated. The data generated were helpful in devising a new Multi-Locus Sequence Typing (MLST) scheme for the efficient typing of S. aureus strains. The revised scheme is now a blend of previously used genes and new candidate genes. The genes yQil, aroE, and gmk are replaced with better gene candidates, opuCC, aspS, and rpiB, based on their genome localization, representation, and statistical scores. Therefore, the proposed Multi-Locus Sequence Typing (MLST) method offers a greater resolution with 58 sequence types (STs) in comparison to the prior scheme’s 42 STs.
DLPM: A dynamic location protection mechanism supporting continuous queries

Summary Currently, the protection of users’ location privacy, particularly for moveable users, is a major concern for both academia and business. In order to receive required services, a moveable user needs to constantly disclose his/her location information with an untrusted third party in his/her locations, which raises security and privacy issues. To settle the above problems, in this work, we creatively integrate local differential privacy (LDP) with conditional random field (CRF) to facilitate continuous location sharing among moveable users. Firstly, we advance a novel approach of employing CRF to represent users’ mobility. After that, we establish a system to provide continuous location sharing by combining the 𝛿 -location set and 𝜀 -LDP. Finally, we evaluate the system performance on actual data sets. The experimental results indicate that our technique outperforms the planar isotropic mechanism (PIM) and AGENT.
BONE MODIFICATION FEATURES RESULTING FROM BARNACLE ATTACHMENT ON THE BONES OF LOGGERHEAD SEA TURTLES (Caretta caretta), CUMBERLAND ISLAND, GEORGIA, USA: IMPLICATIONS FOR THE PALEOECOLOGICAL, AND TAPHONOMIC ANALYSES OF FOSSIL SEA TURTLES

Abstract: Sea turtles are characterized by a wide variety of invertebrate ectoparasites. Few of these ectoparasites leave a permanent indication of their presence on the skeletal remains of their host taxa and thus represent ecological information doomed to be lost in the paleontological record. Some barnacle taxa provide an exception to this, in that they cause the formation of small, subcircular to circular divots, pits, and holes on the skull, mandible, carapace or plastron of sea turtles. Loggerhead Sea Turtle (Caretta caretta) skeletons from Cumberland Island, Georgia, USA were examined to assess the presence, frequency, and loci of occurrence of barnacle pits, and to establish which taxa are involved in pit development. Six types of divot and pit attributed to barnacles are identified in this study. Type I traces are shallow, oval/semicircular in outline, with smooth, gently sloped bases. Type II traces are deep, hemispherical pits with smooth bases. Type III traces are deep, circular to subcircular pits with flat bases. Type IV traces are deep, circular to subcircular pits with multiple (4–6) small sub-pits on their bases. Type V traces are cylindrical, penetrative holes. Type VI traces comprise shallow ring-shaped grooves on the surface of the bone. Type I through III traces are identical to the ichnotaxon Karethraichnus lakkos. Type IV traces have not, as yet, been described in the rock record. Type V traces are identical to K. fiale. Type VI traces are identical to Thatchtelithichnus holmani. Barnacle taxa identified as emplacing non-penetrative divots and pits on C. caretta skulls, mandibles, and shell bones include Chelonibia caretta (Type I), Platylepas hexastylos (Types I–IV), Calyptolepas bjorndalae (Types I and II), and Stomatolepas elegans (Types I and II). Type V traces were most likely emplaced by either Stephanolepas muricata or Chelolepas cheloniae. Type VI traces reflect the former attachment of balanid or lepadid barnacles. Embedded barnacles were observed in epidermal material associated with Types I through IV traces but not for Type V and VI traces and thus the relationship is inferred for these latter traces. Barnacle-related pits, divots, and holes are believed to result from barnacle mediated chemical corrosion into the outer surface of sea turtle bone. The occurrence of these traces provides one of the few preservable lines of evidence of barnacle interactions with sea turtle hosts. Identification of definitive barnacle borings in fossil material will provide evidence of the evolution of platylepadid barnacles and the development of their commensal relationship with chelonid turtles.
Immune-Mediated Pathogenesis in Dengue Virus Infection

Dengue virus (DENV) infection is one of the major public health concerns around the globe, especially in the tropical regions of the world that contribute to 75% percent of dengue cases. While the majority of DENV infections are mild or asymptomatic, approximately 5% of the cases develop a severe form of the disease that is mainly attributed to sequential infection with different DENV serotypes. The severity of dengue depends on many immunopathogenic mechanisms involving both viral and host factors. Emerging evidence implicates an impaired immune response as contributing to disease progression and severity by restricting viral clearance and inducing severe inflammation, subsequently leading to dengue hemorrhagic fever and dengue shock syndrome. Moreover, the ability of DENV to infect a wide variety of immune cells, including monocytes, macrophages, dendritic cells, mast cells, and T and B cells, further dysregulates the antiviral functions of these cells, resulting in viral dissemination. Although several risk factors associated with disease progression have been proposed, gaps persist in the understanding of the disease pathogenesis and further investigations are warranted. In this review, we discuss known mechanisms of DENV-mediated immunopathogenesis and its association with disease progression and severity.
Imputation of Missing Data for a Continuous Variable with an Ordinal form of Risk Function: When to Apply the Transformation?

Introduction : Imputation of missing data and selection of appropriate risk function are of importance . Sometimes a variable with continuous nature will be offered to the regression model as an ordinal variable. Our aim is to investigate whether to offer the continuous form of the variable to the imputation phase and its ordinal from to the modeling phase, or whether to offer the ordinal version to both phases. Material and Methods : The outcome and main variable of interest was use of diet as a body change approach, and Body Mass Index (BMI). We randomly deleted 10%, 20%, and 40% of BMI values. In strategies 1 and 2, BMI was offered to the imputation phase as a continuous (BMIC) and ordinal variable (BMIO). Missing data were imputed using linear and polytomous regression respectively. In strategy 1, after imputation, BMIC was categorized (named BMICO) and offered to the modeling phase. In strategy 2, after imputation of BMIO values, this variable was offered to the logistic model (named BMIOO). We compared two strategies at Event Per Variables (EPV) of 75, 10, and 5. Result : At EPVs of 75 and 10 no remarkable difference was seen. However, at EPV of 5, strategy 2 was superior. At 20% and 40% missing rates, strategy 1 was 2.21 and 3.67 times more likely to produce Severe Relative Bias. At high missing rate, power was higher in strategy2 (90% versus 83%). Conclusions : When EPV is low and missing rate is high, categorizing of variable before imputation of missing data produces less SRB and leads to higher power.
Combustion Instability Active Control Using Periodic Fuel Injection

Active control using periodic fuel injection has the potential of suppressing combustion instability without radically changing the engine design or sacrificing performance. A study is carried out of optimal model-based control of combustion instability using fuel injection. The model developed is physically based and includes the acoustics, the heat-release dynamics, their coupling, and the injection dynamics. A heat-release model with fluctuations in the flame surface area, as well as in the equivalence ratio, is derived. It is shown that area fluctuations coupled with the velocity fluctuations drive longitudinal modes to resonance caused by phase-lag dynamics, whereas equivalence ratio fluctuations can destabilize both longitudinal and bulk modes caused by time-delay dynamics. Comparisons are made between the model predictions and several experimental rigs. The dynamics of proportional and two-position (on-off) fuel injectors are included in the model. When the overall model is used, two different control designs are proposed. The first is an linear quadratic Gaussian/loop transfer recovery controller, where the time-delay effect is ignored, and the second is a positive forecast controller, which explicitly accounts for the delay. Injection at 1) the burning zone and 2) farther upstream is considered. The characteristics of fuel injectors including bandwidth, authority (pulsed-fuel flow rate), and whether it applies a proportional or a two-position (on-off) injection are discussed. We show that increasing authority and increasing bandwidth result in improved performance. Injection at location 2 compared to location 1 results in a tradeoff between improved mixing and increased time delay. It is also noted that proportional injection is more successful than on-off injection because the former can modulate both amplitude and phase of the control fuel.
The number of fiberings of a surface bundle over a surface

For a closed manifold $M$, let Fib$(M)$ be the number of distinct fiberings of $M$ as a fiber bundle with fiber a closed surface. In this paper we give the first computation of Fib$(M)$ where $1<\text{Fib}(M)<\infty$ but $M$ is not a product. In particular, we prove Fib$(M)=2$ for the Atiyah-Kodaira manifold and any finite cover of a trivial surface bundle. We also give an example where Fib$(M)=4$.
Geospatial Analysis of Dental Access and Workforce Distribution in Kenya

Background and Objective: One of the major factors affecting access to quality oral healthcare in low- and middle-income countries is the under-supply of the dental workforce. The aim of this study was to use Geographical Information System (GIS) to analyse the distribution and accessibility of the dental workforce and facilities across the Kenyan counties. Methods: This was a cross-sectional study targeting dental professionals and their practices in Kenya in 2013. Using QGIS 3.16, these data were overlaid with data on population size and urbanization levels. For access measurement, buffers were drawn around each clinic at distances of 2.5, 5, 10 and 20 km, and the population within each determined. Findings: Nine hundred six dental professionals in 337 dental clinic locations were included in the study. Dentists, community oral health officers (equivalent to dental therapists) and dental technologists comprised 72%, 15% and 12%, respectively. Nairobi county with 100% urbanization and >4000 people/km2 had 43% of the workforce and a dentist to population ratio of 1:9,018. Wajir with an urbanization level of 15% and 12 people/km2 had no dental facility. Overall, 11%, 19%, 35% and 58% of the Kenyan population were within 2.5, 5, 10 and 20 km radius of a dental clinic respectively. Conclusion: Maldistribution of dental workforce in Kenya persists, particularly in less urbanized and sparsely populated areas. GIS map production give health planners a better visual picture of areas that are most in need of health care services based on population profiles.
Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups

For a one-ended right-angled Artin group, we give an explicit description of its JSJ tree of cylinders over infinite cyclic subgroups in terms of its defining graph. This is then used to classify certain right-angled Artin groups up to quasi-isometry. In particular, we show that if two right-angled Artin groups are quasi-isometric, then their JSJ tree of cylinders are weakly equivalent. The converse to this is not necessarily true. However, for a large class of right-angled Artin groups, one can define quasi-isometry invariants known as stretch factors. We then show that two such right-angled Artin groups are quasi-isometric if and only if their JSJ tree of cylinders are weakly equivalent and have matching stretch factors.
The Relationship between Workplace Well-being and Burnout Among Healthcare Professionals in Medika Utama Clinic Sidoarjo during the COVID-19 Pandemic

This research aimed to identify the relationship between workplace well-being and burnout among the healthcare professionals in Medika Utama Clinic Sidoarjo during the COVID-19 pandemic. This research was conducted by implementing a quantitative approach and correlational research design. Purposive sampling was conducted and 34 subjects were selected. The instrument used in this research was the adaptation scale, and the first scale was the Multidimensional Workplace Well-being Questionnaire obtained from Black Dog Institute, while the validity value on this scale is in the range of . 536 - . 810. The second scale, namely Maslach Burnout Inventory (MBI), has a validity value on this scale with a range of . 441 – . 792 and a reliability of . 922 by using the Likert scale. The hypothesis test revealed that there was a relationship between workplace well-being and burnout (.020). Moreover, the Multidimensional Workplace Well-being Questionnaire result indicated that there is no relationship between job satisfaction and burnout (.126), the organization’s respect (towards employees) and burnout (.059), the company’s concern (to employees) and burnout. (.137), but there is a relationship between work interference (with employees’ personal lives) and burnout (.003). In order to avoid burnout, the organization must concern with the work interferences which influence the personal lives of the employees. Keywords: workplace well-being, burnout, healthcare professionals
Dynamic Characteristics of Fluid-Conveying Pipes with Piecewise Linear Support

For the analysis of dynamic characteristics of fluid-conveying pipes with piecewise linear support, a fluid–structure coupling dynamic model based on the finite element method is proposed. A user-defined pipe element based on Euler–Bernoulli beam is developed for modeling the pipes, considering the dynamic flow conditions. A nonlinear spring element is utilized to model the clamp between the pipe and the base. The dynamic responses of the system are obtained through the direct time integration. The stiffness of the clamp support is investigated by the analytical method and the experimental method, in which it is found that the clamp stiffness is piecewise linear. For different pipe geometries the user-defined element model, analytical model and measurement data are compared. The results show high quality of the element developed in this paper. Finally, the dynamic characteristics of the pipe system with piecewise linear support subjected to base harmonic excitation are calculated and the effects of the system parameters on pipe behaviors have also been studied. As a consequence, the model proposed in this paper can represent the piecewise linear nonlinearity of the clamp support and be used conveniently to investigate the effects of the fluid–structure coupling on the system behaviors.
Decreased surface blistering and deuterium retention in potassium-doped tungsten exposed to deuterium plasma following ion irradiation

A large-size potassium-doped tungsten (KW) plate with a thickness of 15 mm was fabricated via powder metallurgy technology and hot rolling. In order to appraise the irradiation resistance of KW, the surface deuterium (D) blistering and D retention were studied on Fe11+ pre-damaged (0, 0.05 and 0.5 dpa) KW and pure tungsten (PW), which were exposed to ∼60 eV and ∼5 × 1021 m−2 s−1 D plasmas at 500 K at a fluence of ∼5.76 × 1025 m−2. The results indicate that the KW alloy can better inhibit the generation of vacancy defects after Fe11+ ion damage compared with PW because K bubbles can restrain the migration of W self-interstitial atoms and the accumulation of vacancies caused during Fe11+ ion irradiation. The Fe11+ ion pre-damage can relieve the surface blistering and D retention of PW and KW at the same time, and the KW has a better effect of inhibiting D retention, while it does not show a significant advantage in inhibiting surface blistering compared with PW. In addition, the causes of the discrepancy in total D retention and the surface morphology evolution of PW and KW are discussed in detail.
Hadamard Type Variation Formulas for the Eigenvalues of the $\eta$-Laplacian and Applications

We consider an analytic family of Riemannian metrics on a compact smooth manifold $M$. We assume the Dirichlet boundary condition for the $\eta$-Laplacian and obtain Hadamard type variation formulas for analytic curves of eigenfunctions and eigenvalues. As an application, we show that for a subset of all $C^r$ Riemannian metrics $\mathcal{M}^r$ on $M$, all eigenvalues of the $\eta$-Laplacian are generically simple, for $2\leq r< \infty$. This implies the existence of a residual set of metrics in $\mathcal{M}^r$, which makes the spectrum of the $\eta$-Laplacian simple. Likewise, we show that there exists a residual set of drifting functions $\eta$ in the space $\mathcal{F}^r$ of all $C^r$ functions on $M$, which makes again the spectrum of the $\eta$-Laplacian simple, for $2\leq r< \infty$. Besides, we give a precise information about the complementary of these residual sets, as well as about the structure of the set of deformations of a Riemannian metric (respectively of the set of deformations of a drifting function) which preserves double eigenvalues. Moreover, we consider a family of perturbations of a domain in a Riemannian manifold and obtain Hadamard type formulas for the eigenvalues of the $\eta$-Laplacian in this case. We also establish generic properties of eigenvalues in this context.