Miracle-dz/UniFAR-FTUs huggingface dataset:
IMPLICITIZATION OF SURFACES VIA GEOMETRIC TROPICALIZATION

In this paper we describe tropical methods for implicitization of surfaces. We construct the corresponding tropical surfaces via the theory of geometric tropicalization due to Hacking, Keel and Tevelev, which we enrich with a formula for computing tropical multiplicities of regular points in any dimension. We extend previous results for tropical implicitization of generic surfaces due to Sturmfels, Tevelev and Yu, and provide methods for the non-generic case.
$\varepsilon$-regularity criteria in anisotropic Lebesgue spaces and regularity in one direction to the 3D Navier-Stokes equations

In this paper, we derive some $\varepsilon$-regularity criteria in anisotropic Lebesgue spaces for suitable weak solutions to the 3D Navier-Stokes equations as follows \begin{align} &\limsup\limits_{\varrho\rightarrow0} \varrho^{1-\frac{2}{p}-\frac{1}{p}-\frac{1}{q}-\frac{1}{r}} \|u \|_{L_{t}^{p}L_{1}^{q}L_{2}^{r}L_{3}^{s}(Q(\varrho))} \leq\varepsilon,~~~2/p+1/q+1/r+1/s\leq2,~~\text{with}~q,r,s>2; \nonumber\\ &\limsup\limits_{\varrho\rightarrow0}\varrho^{1-\frac{2}{p}-\frac{1}{q}-\frac{1}{r}} \|\nabla_{1}u \|_{L_{t}^{p}L_{1}^{1}L_{2}^{r}L_{3}^{s}(Q(\varrho))} \leq\varepsilon,~~~2/p +2/r+1/s\leq2,~~\text{with}~ r,s>2. \end{align} which extends previous corresponding results by Tian and Xin in [29, Comm. Anal. Geom. 7: 221--257, 1999] and by Gustafson, Kang and Tsai, [14, Commun. Math. Phys. 273: 161--176, 2007]. As a by-product, this allows us to obtain local regularity criteria in terms of $\nabla_{1}u$, namely, $$ \nabla_{1}u\in L^{p}_{t}L^{q}_{x_{1}}L^{r}_{x_{2}}L^{s}_{x_{3}}(Q(\varrho))\leq\varepsilon, ~~~~ \text{with} ~~~ 2/p+1/q+1/r+1/s=2, ~~~2<q,r,s\leq3, 2\leq p<4. $$ This generalizes the recent result by Kukavica, Rusin and Ziane [20, J. Nonlinear Sci. 27: 1725-1742, 2017], where the range of $(p,q=r=s)$ is that $\frac{9}{4}<q<3$ and $2<p<3$. More importantly, the proof utilized in (0.1) together with the result of [14] implies \begin{equation} \limsup\limits_{\varrho\rightarrow0}\varrho^{2- \frac 2p -\frac 3q} \|\nabla_{1}u\|_{L_{t}^{p}L_{x}^{q}(Q(\varrho))}\leq\varepsilon, \,\,2\le 2/p +3/q \le 3, \; 1 \le p,q \le \infty. \end{equation} This gives an improvement of corresponding result obtained by Caffarelli, Kohn and Nirenberg in [1] and in [14]. It is worth remarking that (0.3) yields full range of $q$ in (0.2) with $q=r=s. $ This is of independent interest.
Role of Ultrasound in Evaluation of Pulmonary Manifestations of COVID-19 Using Computed Tomography as A Gold Standard

Background: In critical care medicine, lung ultrasonography (LUS) has become more widely utilized as a trustworthy method for assessing lung diseases. Since COVID-19 pneumonia lesions have a predominant peripheral distribution, LUS detection is more appropriate. Objective: This study was aimed to assess the role of LUS in early diagnosis of COVID-19, as well as severity assessment of COVID-19 patients using CT chest as a gold standard. Patients and methods: Patients in this prospective cohort study were complaining of symptoms raising suspicion of SARS-CoV-2 infection and referred from chest emergency departments. Ultra-sound and CT were done for all patients and finding were correlated in the two modalities with estimation of the severity score. Results: out of 242 patients with CT chest findings positive for COVID-19 infection, 232 patients demonstrated positive LUS findings for COVID-19. Our study revealed the sensitivity of LUS up to (99.15%), specificity (100%), PPV (100%), NPV (80%) and accuracy (99.17%). Conclusion: It could be concluded that LUS could show pulmonary manifestations indicative of COVID-19 in symptomatic patients with high diagnostic accuracy comparable to CT chest. © 2022, Ain Shams University Faculty of Medicine. All rights reserved.
Development and Validation of the ‘Mentoring for Effective Teaching Practicum Instrument’

In the context of improving the quality of teacher education, the focus of the present work was to adapt the Mentoring for Effective Primary Science Teaching instrument to become more universal and have the potential to be used beyond the elementary science mentoring context. The adapted instrument was renamed the Mentoring for Effective Teaching Practicum Instrument. The new, validated instrument enables the assessment of trainee teachers’ perceived experiences with their mentors during their two-week annual teaching practicum at elementary and high schools. In the first phase, the original 34-item Mentoring for Effective Primary Science Teaching instrument was expanded to 62 items with the addition of new items and items from the previous works. All items were rephrased to refer to contexts beyond primary science teaching. Based on responses on an expanded instrument received from 105 pre-service teachers, of whom 94 were females in their fourth year of study (approx. age 22–23 years), the instrument was reviewed and shortened to 36 items classified into six dimensions: personal attributes, system requirements, pedagogical knowledge, modelling, feedback, and Information and Communication Technology due to outcomes of Principal Component and Confirmatory Factor analyses. All six dimensions of the revised instrument are unidimensional, with Cronbach alphas above 0.8 and factor loadings of items above 0.6. Such an instrument could be used in follow-up studies and to improve learning outcomes of teaching practice. As such, specific and general recommendations for the mentee, mentors, university lecturers, and other stakeholders could be derived from the findings to encourage reflection and offer suggestions for the future.
Prevalence of psychological symptoms and their correlates among physiotherapy clinical students: A cross-sectional study

Background Mental health in medical students is well researched, with physiotherapy students receiving less attention even though psychiatry is a recognised specialty within physiotherapy. Objectives To assess the prevalence and correlates of depression, anxiety and stress among physiotherapy clinical students. Methods A descriptive cross-sectional study design was employed on 402 physiotherapy clinical students aged 17–40 years using a convenience sampling method. The data were collected using the self-administered 42-items Depression, Anxiety and Stress scale (DASS) and the data were analysed using a Chi-square test and binary logistic regression analysis. Results The prevalence of depression, anxiety and stress among these students was 79.9%, 85.6% and 81.6%, respectively. The results indicate that financial status and social life influenced depression by 20.6% (odds ratio [OR] [95%] = 1.206 [1.110, 1.311]) and 36% (OR [95%] = 1.360 [1.050, 1.764]), respectively. Fear of repeating a class influenced anxiety by eight times (OR [95%] = 8.330 [6.643, 10.422]). Fear of repeating a class, financial status and academic performance influenced stress by eight times (OR [95%] = 8.360 [6.677, 10.470]), 17.5% (OR [95%] = 1.175 [1.083, 1.275]) and 18.1% (OR [95%] = 1.181 [1.083, 1.276]), respectively. Conclusion Our study concluded that there was a high prevalence of depression, anxiety and stress among physiotherapy clinical students. These outcomes suggest that more attention needs to be given to improving physiotherapy clinical students’ mental health, which will ultimately improve learning outcomes. Clinical implications The long-term effects of psychological distress could potentially impact students’ academic performance. It may also have long-lasting effects after graduation. Therefore, students who are at risk of developing psychological symptoms are needed to be thoroughly examined and then receive early required interventions.
Flexural Response and Moment Redistribution of RC Continuous T-Beams Strengthened With FRP or Steel Bars

This paper is an experimental study to investigate the behavior of the RC continuous T-beams strengthened with NSM CFRP or steel bars under static loads. The experimental program consists of five RC continuous T-beams with overall dimensions equal to (200*300*4300) mm and with constant load (120kN) at the central loaded column. The first one was unstrengthened control beam designed to fail in flexure. Two beams were strengthened at the hogging region by using CFRP or steel bars, the other beams were strengthened at the mid-span region. The effect of strengthening material type and region on the load carrying capacity of the beams, deformation, ductility index and moment redistribution were investigated. Test results revealed that, three failure modes of beams were observed, namely the steel yielding, crushing of the concrete after steel yielding, end anchorage separation before the steel yielding at the strengthening region. The ductility of all strengthened beams was reduced compared with that of the respective unstrengthened control beam. The moment redistribution ratio depends deeply on the internal force at the main sagging reinforcement. yield the sagging were respectively, ultimate load between the deflection values at the yield loads and the ultimate load the good ductility of the CB. the the cracking loads range between (70kN: 85kN) for the sagging region (76kN: 101kN) the hogging region. they are close values with the cracking loads for the control beam, and there were not a clear difference between the strengthening beams at the values of the cracking loads, where the cracking load depends mainly on the concrete compressive strength and the gross moment of inertia for the tested beams. the continuous RC beams at the sagging or the hogging region to increase in the yield load by about 52% for the beam SSH at the negative moment region and by about 33% for the beam SCS at the mid-span region. The ultimate load for all strengthening beams increased by acceptable value which ranged between (10%: 25%) compared to the control beam (CB). The strengthening beams failed by steel yielding in the unstrengthened region by separation of the plate end, The crack width for the strengthening beams less than that of the control beam at all loading stages. the crack width at the bottom region for the CB was 11 mm at the failure load, but it ranged between 1.7mm and 8.3mm for the others. the mode of failure for all tested An experimental work was carried out on five large-scale RC continuous T-beams, to study the flexural strengthening of reinforced concrete continuous beams with central loaded column and by using near-surface mounted (NSM) CFRP or steel bars on the general behavior of the tested beams and their ability to redistribute bending moment between hogging and sagging regions under the influence of vertical loads. Based on the test results and the comparisons between the tested beams which presented in advance in this research the following conclusions can be drawn:
Association between serum sphingolipids and necroinflammation of liver tissue pathology in chronic hepatitis B

Background & Aims: Accurately identifying liver necroinflammation was essential for the timely implementation of antiviral therapy in chronic hepatitis B(CHB) patients. The sphingolipids were involved in various chronic inflammatory processes. This study aimed to evaluate the association between serum sphingolipids and liver necroinflammation in CHB patients. Methods: The study prospectively enrolled patients with a diagnosis of chronic hepatitis B who were subsequently treated with nucleos(t)ide analogs (NAs). Liver biopsy was performed at baseline and 5-year follow-up, and serum sphingolipid levels were measured by ultra-high-performance liquid chromatography tandem mass spectrometry. Results: A total of 70 CHB patients were enrolled with baseline liver necroinflammation of 27(38.6%) G1, 23(32.9%) G2, and 20(28.6%) G ≥ 3, respectively. A total of 126 liver biopsies were performed on the study population over a 5-year period, of which 80 (63.5%) G<2 and 46 (36.5%) G≥2. Serum ALT, ALP, SM d16:0/16:1, SM d16:0/17:1, SM d18:0/17:0 and Cer d18:2/22:0 showed significant differences between two groups (P<0.01). Multivariate analysis showed that serum ALT (OR 1.006, 95% CI: 1.000-1.011), SM d16:0/16:1 (OR 1.552, 95% CI: 1.150-2.093), Cer d18:2/22:0 (OR 0.003, 95% CI: 0.000-0.173) were associated with G ≥ 2. In the subgroup of patients with normal serum ALT, serum Cer d18:2/22:0 was lower in patients with G ≥ 2 than that with G < 2. After 5 years, alleviated inflammation was accompanied by decreased serum SM d16:0/16:1 and increased serum Cer d18:2/22:0 in patients with baseline G ≥ 2. Conclusions: Lower serum Cer d18:2/22:0 could reflect hepatic necroinflammation (G ≥ 2) in CHB patients including those with normal serum ALT, and its elevation predicts the inflammation improvement after NAs treatment.
Examining the Primary School Teacher Candidates’ Science Learning Skills in Terms of Their Attitudes Towards Science and Their Science Teaching Self-Efficacy Beliefs

This study aims to investigate the relationship between the science learning skills of primary school teacher candidates and various variables. A correlational survey design was used in the study as a research methodology. With the correlational survey design, the relationships between the science learning skills of the primary school teacher candidates and some variables were examined and their effectiveness in predicting their science learning skills was determined. This study was conducted on 160 teacher candidates in the spring term of the 2019-2020 academic year. As a result of the study, a high level of correlation was found between the science learning skills of the primary school teacher candidates and their self-efficacy belief in science education. In addition, it was found that 38% of science learning skills were explained by attitudes and beliefs. In other words, it was seen that the affective characteristics of pre-service teachers about science significantly affected their science learning skills. In the light of these results, it is recommended to carry out studies in the education process to develop the necessary skills before considering the cognitive competencies of primary school teachers about science. They should also develop positive feelings towards science and gain the understanding that science is not a field of memorization, but a fun field necessary to make sense of the world.
Representations of integral quadratic polynomials

In this paper, we study the representations of integral quadratic polynomials. Particularly, it is shown that there are only finitely many equivalence classes of positive ternary universal integral quadratic polynomials, and that there are only finitely many regular ternary triangular forms. A more general discussion of integral quadratic polynomials over a Dedekind domain inside a global field is also given.
Postfeminist heroes and heroines in contemporary Chinese advertising

ABSTRACT In this paper, I argue that the postfeminist performance of contemporary Chinese advertising deflects attention away from the feminist call for gender equality. First, I explain why Chinese feminist development leads to “femininity melancholia. ” I then examine the postfeminist heroes and heroines—that is the ideals of masculinity and femininity that inspire audience imitation—in contemporary Chinese advertising campaigns and femvertising vlogs (recent advertising with a focus on empowered women). In unveiling the pressures of young Chinese men’s idealized masculinity, I suggest Chinese men dread female individuation and desire to preserve women’s dependence and domesticity. Such pressures are intensified by idealized masculinity in advertising to men’s ambivalence towards femininity via Judith Butler’s gender melancholia. Engaging with Angela McRobbie’s ideas about postfeminist heroines trapped in performing perfectly balanced femininity, I propose that the postfeminist performance by Chinese female vloggers indicates that young women have maintained a sense of self-definition without abandoning their femininity in the face of intense scrutiny from social and cultural gazes. My analysis of the interplay between the “femininity melancholia” shown in contemporary Chinese advertising and Chinese people’s feminist consciousness contributes to the postfeminist debate about the relationship between feminism and femininity.
WEAKLY REMARKABLE CARDINALS, ERDŐS CARDINALS, AND THE GENERIC VOPĚNKA PRINCIPLE

Abstract We consider a weak version of Schindler’s remarkable cardinals that may fail to be ${{\rm{\Sigma }}_2}$-reflecting. We show that the ${{\rm{\Sigma }}_2}$-reflecting weakly remarkable cardinals are exactly the remarkable cardinals, and that the existence of a non-${{\rm{\Sigma }}_2}$-reflecting weakly remarkable cardinal has higher consistency strength: it is equiconsistent with the existence of an ω-Erdős cardinal. We give an application involving gVP, the generic Vopěnka principle defined by Bagaria, Gitman, and Schindler. Namely, we show that gVP + “Ord is not ${{\rm{\Delta }}_2}$-Mahlo” and ${\text{gVP}}(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{\Pi } _1 )$ + “there is no proper class of remarkable cardinals” are both equiconsistent with the existence of a proper class of ω-Erdős cardinals, extending results of Bagaria, Gitman, Hamkins, and Schindler.
Multiple Blow-Up Solutions for the Liouville Equation with Singular Data

We study the existence of solutions with multiple concentration to the following boundary value problem where Ω is a smooth and bounded domain in ℝ2, αp's are positive numbers, Z ⊂ Ω is a finite set, δp defines the Dirac mass at p, and ϵ > 0 is a small parameter. In particular we extend the result of Del-Pino et al. ([12]) to the case of several singular sources. More precisely we prove that, under suitable restrictions on the weights αp, a solution exists with a number of blow-up points ξj ∈ Ω∖Z up to .
Are Blue Stragglers Mixed during Collisions?

The smoothed particle hydrodynamics (SPH) simulations of Benz & Hills led to the assumption that blue stragglers created by collisions are initially fully mixed. The theoretical models of stars created under this assumption fit the observed blue straggler sequences well. Recently, however, Lombardi, Rasio, & Shapiro performed SPH calculations of stellar collisions using a more realistic polytropic index for the structure of stars near the main-sequence turnoff. Their results show that the collision products are not mixed and, in fact, have composition profiles similar to those of the original stars. We have calculated evolutionary tracks for both the “unmixed” products and fully mixed products and have compared the results to the very bright blue stragglers in the center of NGC 6397. The unmixed stars are not as blue and not as bright as the observed stars, and they only live on the main sequence for a very short time. To account for the observed blue stragglers in NGC 6397, the collision products must either be more than twice the turnoff mass or mixed by some process subsequent to the initial collision and merger.
On magnetic fields generated in a dielectric half-space by a slowly moving point charge outside

A point charge moving with speed u≪c/n outside a non-dispersive dielectric half-space having refractive index n produces, inside the material, magnetic fields of the same order as and in fact larger than they would be in wholly empty space. The part of the field generated directly by the polarization currents is parallel to the surface, and has even parity with respect to it. For 1≪n≪c/u, these fields are practically independent of n, and, by a remarkable coincidence, the same as the (already known) fields that the same charge would produce in a half-space occupied by material having high (but not infinite) ohmic conductivity.
The global nonlinear stability of Minkowski space. Einstein equations, f(R)-modified gravity, and Klein-Gordon fields

We study the initial value problem for two fundamental theories of gravity, that is, Einstein's field equations of general relativity and the (fourth-order) field equations of f(R) modified gravity. For both of these physical theories, we investigate the global dynamics of a self-gravitating massive matter field when an initial data set is prescribed on an asymptotically flat and spacelike hypersurface, provided these data are sufficiently close to data in Minkowski spacetime. Under such conditions, we thus establish the global nonlinear stability of Minkowski spacetime in presence of massive matter. In addition, we provide a rigorous mathematical validation of the f(R) theory based on analyzing a singular limit problem, when the function f(R) arising in the generalized Hilbert-Einstein functional approaches the scalar curvature function R of the standard Hilbert-Einstein functional. In this limit we prove that f(R) Cauchy developments converge to Einstein's Cauchy developments in the regime close to Minkowski space. Our proofs rely on a new strategy, introduced here and referred to as the Euclidian-Hyperboloidal Foliation Method (EHFM). This is a major extension of the Hyperboloidal Foliation Method (HFM) which we used earlier for the Einstein-massive field system but for a restricted class of initial data. Here, the data are solely assumed to satisfy an asymptotic flatness condition and be small in a weighted energy norm. These results for matter spacetimes provide a significant extension to the existing stability theory for vacuum spacetimes, developed by Christodoulou and Klainerman and revisited by Lindblad and Rodnianski.
Hepatitis B Virus Reactivation in Cancer Patients Undergoing Immune Checkpoint Inhibitors Therapy: A Systematic Review

Background: Immune checkpoint inhibitor (ICI) therapy is now administered to patients with advanced cancers. However, the safety and efficacy of ICIs in cancer patients with hepatitis B virus (HBV) infection is unknown. Therefore, we performed this systematic review to examine the safety and efficacy of ICIs in patients with HBV infection, with particular focus on HBV reactivation. Methods: Studies examining ICI treatment in patients with advanced cancer and HBV infection in PubMed from database inception to April 2022 were retrieved in accordance with the Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines. In addition, reports of individuals diagnosed with HBV reactivation were supplemented through the Food and Drug Administration Adverse Event Reporting System. Results: We identified 20 articles (8 case reports, 10 retrospective case series, and 2 prospective clinical trials) and 2 meeting abstracts including 633 patients with advanced cancer and HBV infection treated with ICIs. The overall rate of HBV reactivation was 4.1% (26/633), and no HBV-related fatal events were reported. Among patients with HBV reactivation with known baseline data (20/26), HBV-DNA returned to undetectable status in 15 of 17 patients (88.2%) after a median 5.5 weeks (range, 1-14 weeks). Therapeutic responses to ICIs were observed in 14 of 88 patients (15.91%) with hepatocellular carcinoma, 6 of 45 patients (13.33%) with non-small cell lung cancer, and 3 of 13 patients (23.08%) with melanoma. Conclusion: ICIs may be safe and effective in patients with advanced cancer and HBV infection. However, there is still a need for clinical monitoring of liver enzymes and HBV-DNA during ICI therapy. Prospective trials are necessary to elucidate the appropriate antiviral therapy in these patients.