Miracle-dz/UniFAR-FTUs huggingface dataset:
Fluctuation conductivity of disordered superconductors in magnetic fields

We calculate fluctuation corrections to the longitudinal conductivity of disordered superconductors subject to an external magnetic field. We derive analytic expressions that are valid in the entire metallic part of the temperature-magnetic field phase diagram as long as the effect of the magnetic field on the spin degrees of freedom of the electrons may be neglected. Our calculations are based on a kinetic equation approach. For the special case of superconducting films and wires in parallel magnetic fields we perform a detailed comparison with results that were previously obtained with diagrammatic perturbation theory in the imaginary time formalism. As an application, we study the fluctuation conductivity of films in tilted magnetic fields with a special focus on the low-temperature regime. We present a detailed discussion of the phenomenon of the non-monotonous magnetoresistance and find that it displays a pronounced dependence on the tilting angle.
THE EVOLUTION OF LYMAN LIMIT ABSORPTION SYSTEMS TO REDSHIFT SIX

We have measured the redshift evolution of the density of Lyman limit systems (LLSs) in the intergalactic medium over the redshift range 0 < z < 6. We have used two new quasar samples to (1) improve coverage at z ∼ 1, with GALEX grism spectrograph observations of 50 quasars with 0.8 < zem < 1.3, and (2) extend coverage to z ∼ 6, with Keck ESI spectra of 25 quasars with 4.17 < zem < 5.99. Using these samples together with published data, we find that the number density of LLS per unit redshift, n(z), can be well fit by a simple evolution of the form n(z) = n3.5[(1 + z)/4.5]γ with n3.5 = 2.80 ± 0.33 and γ = 1.94+0.36−0.32 for the entire range 0 < z < 6. We have also reanalyzed the evolution of damped Lyα systems (DLAs) in the redshift range 4 < z < 5 using our high-redshift quasar sample. We find a total of 17 DLAs and sub-DLAs, which we have analyzed in combination with published data. The DLAs with } 20.3$? > show the same redshift evolution as the LLS. When combined with previous results, our DLA sample is also consistent with a constant ΩDLA = 9 × 10−4 from z = 2 to z = 5. We have used the LLS number density evolution to compute the evolution in the mean free path (mfp) of ionizing photons. We find a smooth evolution to z ∼ 6, very similar in shape to that of Madau et al. but about a factor of two higher. Recent theoretical models roughly match to the z < 6 data but diverge from the measured power law at z>6 in different ways, cautioning against extrapolating the fit to the mfp outside the measured redshift range.
Sulphur flow in soil–plant system with long‐term agricultural practices on a Vertisol

Sulphur (S) deficiency is widespread in agricultural fields across the globe. Its flow in the soil–plant system under different management practices is too poorly understood to strategize S fertilisation with increased efficiency. Accordingly, an attempt was made to elucidate the pathways of S flow in soils and to plants under organic, inorganic, and integrated nitrogen (N) management practices using a 30‐year‐old long‐term field experiment planted with sorghum in the semi‐arid tropics. Partitioning soil S into pools, we observed that exchangeable (4.2%) and adsorbed (4.6%) pools constituted a small part of total soil S but contributed mainly to S nutrition (46% and 33%) of sorghum; it also contributed to the variability of S extractable by six commonly used extractants. Using multiple criteria, the superiority of monocalcium phosphate as an extractant for assessment of S in Vertisols was established. Among the N management practices, integrated N management performed better in supplying S in soils and to sorghum, and excelled, both in retention (35.9% of applied) and utilisation (13%) of S, curbing its losses (51.1%) from the system, over the organics (26%, 8.4%, and 65.6%, respectively) and inorganic (11.6%, 7.1%, and 81.3%, respectively) management practices. The integrated management practices with farmyard manure (FYM) excelled in improving S in soils, including economics. Out of the organics, FYM was more effective in improving S availability in soils and its nutrition of the crop over the crop residue, and green manure. Changes in organic C, and oxides and hydroxides of Fe and Al in soils are the keys governing the flows of S in the soil–plant system. A detailed pathway of the increased efficacy of S fertilisation upon conjoint application of N sources over the others was highlighted for adoption in Vertisols of semi‐arid tropics.
A note on the rigidity of marginally outer trapped 2-spheres

As discussed in the paper, in a matter-filled spacetime, perhaps with positive cosmological constant, a stable marginally outer trapped 2-sphere must satisfy a certain area inquality. Namely, its area must be bounded above by $4\pi/c$, where $c > 0$ is a lower bound on a natural energy momentum term. In this note we consider the rigidity that results for stable, or weakly outermost, marginally outer trapped 2-spheres that achieve this upper bound on the area. The "canonical" dynamical horizon in Vaidya spacetime and certain spacelike hypersurfaces in Nariai spacetime provide illustrations of the main results. These results may be viewed as spacetime analogues of the rigidity results of Bray, Brendle and Neves [10] concerning area minimizing 2-spheres in Riemannian 3-manifolds with scalar curvature having positive lower bound.
Complications during Induction Chemotherapy in Acute Promyelocytic Leukemia: An Institutional Experience

Abstract Stalin Chowdary Bala Introduction Acute promyelocytic leukemia (APL) has transformed from a highly fatal disease to a highly curable one. Induction deaths continue to represent one of the major impediments in modern therapy of APL. Sepsis, hemorrhage, and differentiation syndrome are the major complications during induction therapy in APL. The present study reports the incidence and prognostic factors of major complications during induction chemotherapy in patients with newly diagnosed APL. Materials and Methods The present study was a single institutional, observational, retrospective study. All cases of APL diagnosed by morphology and confirmed by RT PCR (PML RARα) were included in this study. Data were analyzed using Statistical Package for the Social Sciences (SPSS) version 25. Results A total of 73 patients were analyzed. The median age at presentation was 30 years (range, 3–60 years) with a female to male ratio of 1.02:1. The most common symptom at presentation was fever (80%), followed by fatigue (56%) and gum bleeding (37%). The majority of the patients at presentation were high risk (42.4%), followed by intermediate risk (38.4%) and low risk (19.2%). Fifty-seven (78%) patients achieved complete hematological remission and 16 (22%) succumbed during induction chemotherapy. Infection was the most common cause of induction death (50%), followed by hemorrhage (37.5%) and differentiation syndrome (12.5%). On univariate analysis of prognostic factors, bcr3 variant, grade 3/4 bleeding during induction, and low levels of albumin at presentation were significant for induction mortality ( p = 0.034, 0.041, and 0.008 respectively). On multivariate analysis, only serum albumin < 3.5 g/dL was an independent predictor for induction mortality ( p = 0.043). Conclusion The majority of patients were high risk at presentation. Sepsis was the most common complication during induction and also the leading cause of induction death. Identifying induction complications at the earliest and providing aggressive supportive measures can further improve outcomes in APL.
Embedded constant $m^{\text{th}}$ mean curvature hypersurfaces on spheres

In this paper, we study n-dimensional hypersurfaces with constant mth mean curvature Hm in a unit sphere S n+1(1) and prove that if the mth mean curvature Hm takes value between 1 (tan π k )m and k −2 n ( +m−2 n−m ) m−2 2 for 1 ≤ m ≤ n − 1 and any integer k ≥ 2, then there exists at least one n-dimensional compact nontrivial embedded hypersurface with constant Hm > 0 in S n+1(1). When m = 1, our results reduce to the results of Perdomo [12]; when m = 2 and m = 4, our results reduce to the results of Cheng-Li-Wei [14]. 2000 Mathematics Subject Classification: 58E12, 58E20, 53C42, 53C43.
How to compute the multigraded Hilbert depth of a module

In the first part of this paper we introduce a method for computing Hilbert decompositions (and consequently the Hilbert depth) of a finitely generated multigraded module M over the polynomial ring K[X1,. ,Xn] by reducing the problem to the computation of the finite set of the new defined Hilbert partitions. In the second part we show how Hilbert partitions may be used for computing the Stanley depth of the module M. In particular, we answer two open questions posed by Herzog in .
Distorted Local Shadows

We introduce the notion of a local shadow for a black hole and determine its shape for the particular case of a distorted Schwarzschild black hole. Considering the lowest-order even and odd multiple moments, we compute the relation between the deformations of the shadow of a Schwarzschild black hole and the distortion multiple moments. For the range of values of multiple moments that we consider, the horizon is deformed much less than its corresponding shadow, suggesting the horizon is more ``rigid. '' Quite unexpectedly, we find that a prolate distortion of the horizon gives rise to an oblate distortion of the shadow and vice versa.
Newspaper Depictions of Mental Health Disorders in Japan: An Opportunity for Enquiry-Based Learning

and suicide are mentioned in three major Japanese newspapers. Methods: An exploratory descriptive study i) using purposive sampling over a six-month period of the three Japanese newspapers with the widest circulation and ii) document analysis reliant on 37 keywords relating to mental illness iii) selected after consultation with a range of mental health experts across Japan. Results: Nearly a quarter (23.3% n=1827) of the articles related to suicide, self-death, self-kill-ing. ‘Stress’ was by far the most frequently mentioned term (n=740) an average of 4.1 times a day. Others included suicide/suicidal/self-killing (442), mental disorder (80), mental illness (69), depression (93), psychotic/psychosis (42). Conclusion: Overall the tone and content of the articles relating to mental health did not contain a great deal of stigmatizing content. The keyword “stress” might have appeared more than would normally be the case as the sampling period coincided with the beginning of the COVID19 pandemic. Research activities like this encourage student-centered, enquiry-based learning that leads to reflection on the nature and extent of evidence-based professional education and practice that involve critical thinking.
Common hypercyclic vectors and universal functions

Let X,Y be two separable Banach or Frechet spaces , and (Tn) , n=1,2,. be a sequence from linear and continuous operators from X to Y . We say that the sequence (Tn) , n=1,2,. is universal , if there exists some vector v in X such that the sequence Tn(v) , n=1,2,. is dense in Y . If X=Y we say that the sequence (Tn) is hypercyclic . More generally we consider an uncountable subset A from complex numbers and for every fixed a in A we consider a sequence (Ta,n) , n=1,2,. from linear and continuous operators from X to Y . The problem of common universal or hypercyclic vectors is whether the uncountable family of sequences of operators (Ta,n) , n=1,2,. share a common universal vector for all a in A . We examine , in this work ,some specific cases of this problem for translation , differential , and backward shift operators . We study also some approximating problems about universal Taylor series .
Discrete Hardy-type Inequalities

Abstract This paper studies the Hardy-type inequalities on the discrete intervals. Firstly, two variational formulas for the optimal constants are introduced. Based on these formulas, an approximating procedure and the known basic estimates of the optimal constants are deduced. Thirdly, as the main innovation of this paper, an improved factor for the upper estimates is presented, which is smaller than the known one and is the best possible. Finally, some comparison results are included for comparing the optimal constants on different intervals.
A Functional Limit Theorem for stochastic integrals driven by a time-changed symmetric \alpha-stable L\'evy process

Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space endowed with the M_1-topology of a sequence of stochastic integrals of a deterministic function driven by a time-changed symmetric \alpha-stable L\'evy process. The time change is given by the inverse \beta-stable subordinator.
Effects of Zinc Acetate Hydrate Supplementation on Renal Anemia with Hypozincemia in Hemodialysis Patients

Introduction and Aims: This study examined whether zinc supplementation with zinc acetate hydrate improved renal anemia with hypozincemia in patients undergoing hemodialysis. Methods: The study participants included 21 patients undergoing hemodialysis who presented with a serum zinc level < 60 mg/dL and who were administered zinc acetate hydrate at 50 mg (reduced to 25 mg, as appropriate) for 6 months. Patients with a hemorrhagic lesion, acute-phase disease (pneumonia or cardiac failure), or hematologic disease and those whose treatment was switched from peritoneal dialysis to hemodialysis were excluded. The changes in the erythropoietin resistance index (ERI) before and after zinc acetate hydrate administration were examined. ERI was defined as the dose (IU) of erythropoiesis-stimulating agent (ESA)/week/body weight (kg)/hemoglobin content (g/dL). The differences between the two groups were analyzed using the Wilcoxon signed rank sum test, and p < 0.05 was considered statistically significant. Results: The study participants included 19 men and 2 women aged 41–95 years (mean ± standard deviation (SD): 67.1 ± 13.6). The changes in the values of parameters measured before and after zinc acetate hydrate administration were as follows: Blood Hb did not change significantly, from 10.0–13.6 g/dL (11.5 ± 1.0 g/dL) to 10.2–12.4 g/dL (11.4 ± 0.7 g/dL); serum zinc concentration significantly increased, from 33.0–59.0 mg/dL μg/dL (52.4 ± 7.6 mg/dL μg/dL) to 57.0–124.0 mg/dL μg/dL (84.1 ± 16.3 mg/dL μg/dL; p < 0.01); the ESA dose significantly decreased, from 0–12,000 IU/week (5630 ± 3351 IU/week) to 0–9000 IU/week (4428 ± 2779; p = 0.04); and ERI significantly decreased, from 0.0–18.2 (8.1 ± 5.1) to 0.0–16.0 (6.3 ± 4.3; p = 0.04). Conclusions: Zinc supplementation increased the serum zinc concentration and significantly reduced the ESA dose and ERI, suggesting that a correction of hypozincemia contributes to lessening renal anemia in these patients.
Governing fields and statistics for 4-Selmer groups and 8-class groups

Taking A to be an abelian variety with full 2-torsion over a number field k, we investigate how the 4-Selmer rank of the quadratic twist A^d changes with d. We show that this rank depends on the splitting behavior of the primes dividing d in a certain number field L/k. Assuming the grand Riemann hypothesis, we then prove that, given an elliptic curve E/Q with full rational 2-torsion, the quadratic twist family of E usually has the distribution of $4$-Selmer groups predicted by Delaunay's heuristic. Analogously, and still subject to the grand Riemann hypothesis, we prove that the set of quadratic imaginary fields has the distribution of 8-class groups predicted by the Cohen-Lenstra heuristic.
Fat-wedge filtration and decomposition of polyhedral products

The polyhedral product constructed from a collection of pairs of cones and their bases and a simplicial complex $K$ is studied by investigating its filtration called the fat wedge filtration. We give a sufficient condition for decomposing the polyhedral product in terms of the fat wedge filtration of the real moment-angle complex for $K$, which is a desuspension of the decomposition of the suspension of the polyhedral product due to Bahri, Bendersky, Cohen, and Gitler. We show that the condition also implies a strong connection with the Golodness of $K$, and is satisfied when $K$ is dual sequentially Cohen-Macaulay over $\mathbb{Z}$ or $\lceil\frac{\dim K}{2}\rceil$-neighborly so that the polyhedral product decomposes. Specializing to moment-angle complexes, we also give a necessary and sufficient condition for their decomposition and co-H-structures in terms of their fat wedge filtration.
Universal tropical structures for curves in exploded manifolds

For any stable curve $f$ in an exploded manifold, this paper constructs a family of curves $\hat f$ with universal tropical structure which contains $f$. Such a family has the property that any other family of curves containing $f$ is locally a small modification of a family which factors through $\hat f$. As such, families of curves with universal tropical structure play an important role in the analysis of the moduli stack of curves and the construction of Gromov-Witten invariants of exploded manifolds.
Entire functions of several variables of bounded index

This monograph is devoted to the theory of entire functions of several variables. A definition of bounded index was supposed by B. Lepson. We generalised his definition for several variables and obtained criteria of L-index boundedness in direction. In particular we obtained obtain analogues of one-dimensional criterion of boundedness L-index in terms of behaviour the logarithmic derivative outside of zero sets, sufficient conditions of L-index boundedness in direction for some subclass of entire functions with "plane" zeros, sufficient conditions of L-index boundedness of entire solutions for some partial differential equations. Besides differential equations, entire functions of bounded index have application in the theory of value distribution. The monograph is published by "Chyslo": this http URL&path=62
A Note on Lipschitz Continuity of Solutions of Poisson Equations in Metric Measure Spaces

In this note we show how to adjust some proofs of Koskela et. al 2003 and Jiang 2011 in order to show that in certain spaces $(X,d,\mu)$, like $RCD(K,N)$-spaces, every Sobolev function with local $L^{p}$-Laplacian and $p>\dim\mu$ is locally Lipschitz continuous.
Testing of the ITER Central Solenoid Modules

The ITER Central Solenoid is under fabrication by the U.S. ITER organization and its subcontractors. U.S. ITER will supply seven modules to ITER IO, six of which will be assembled in a stack that forms the ITER Central Solenoid. The first modules that were built by GA at their facility, went into high voltage testing, including Paschen testing in the vacuum, and then they were tested at 4.5 K and up to 40 kA to demonstrate compliance of the coil with the ITER requirements. In this article, we present the Test Plan and results of the central solenoid (CS) module’s performance, especially at the full current. We measured critical temperatures in several pancakes, we measured ac losses, joint resistance, and hydraulic characteristics of the coils. We also measured displacements of the coil height and hoop strain of the CS module (CSM) to verify the structural mechanical characteristics of the coil along with the cooldown shrinkage of the coil. We studied the performance of the cowound quench detectors and confirmed their effectiveness in the suppression of inductive noise. This information is necessary for verification of the stack behavior of CS in ITER operation. The test results and preliminary analyses are presented, compared to expectations, and discussed.
Serum Soluble Scavenger Receptor A Levels are Associated with Delayed Cerebral Ischemia and Poor Clinical Outcome After Aneurysmal Subarachnoid Hemorrhage: A Prospective Observational Study

Objective Scavenger receptor A (SRA), a pattern recognition molecule, is implicated in immune response after acute brain injury. We strived to identify serum soluble SRA (sSRA) as a potential biomarker of prognosis after aneurysmal subarachnoid hemorrhage (aSAH). Methods In this prospective observational study, we quantified serum sSRA levels of 131 aSAH patients and 131 healthy controls. A poor outcome was defined as extended Glasgow outcome scale (GOSE) scores of 1–4 at 90 days after injury. Relations of serum sSRA levels to severity, delayed cerebral ischemia (DCI) and poor outcome were assessed using multivariate analysis. Predictive efficiency was determined via area under receiver operating characteristic curve (AUC). Results Serum sSRA levels were markedly higher in aSAH patients than in controls (median, 2.9 ng/mL versus 1.0 ng/mL; P < 0.001). Serum sSRA levels were independently correlated with Hunt-Hess scores (beta, 0.569; 95% confidence interval (CI), 0.244–0.894; P = 0.001), modified Fisher scores (beta, 0.664; 95% CI, 0.254–1.074; P = 0.002) and 90-day GOSE scores (beta, −0.275; 95% CI, −0.440–0.110; P = 0.005). Serum sSRA levels independently predicted DCI (odds ratio, 1.305; 95% CI, 1.012–1.687; P = 0.040) and a poor outcome (odds ratio, 2.444; 95% CI, 1.264–4.726; P = 0.008), as well as showed significant accuracy for the discrimination of DCI (AUC, 0.753; 95% CI, 0.649–0.857; P < 0.001) and a poor outcome (AUC, 0.800; 95% CI, 0.721–0.880; P < 0.001). Its combination with Hunt-Hess scores and modified Fisher scores displayed significantly improved AUCs for predicting DCI and poor outcome, as compared to any of them (all P < 0.05). Conclusion There is a significant elevation of serum sSRA levels after aSAH, which in close correlation with illness severity, are independently associated with DCI and poor clinical outcome after aSAH. Hypothetically, SRA may regulate immune response in acute brain injury after aSAH and serum sSRA is presumed to be a potential prognostic biomarker of aSAH.
The influence of spin on jet power in neutron star X-ray binaries

We investigate the role of the compact object in the production of jets from neutron star X-ray binaries. The goal is to quantify the effect of the neutron star spin, if any, in powering the jet. We compile all the available measures or estimates of the neutron star spin frequency in jet-detected neutron star X-ray binaries. We use as an estimate of the ranking jet power for each source the normalization of the power law which fits the X-ray/radio and X-ray/infrared luminosity correlations Lradio/IR ∝ L � (using infrared data for which there is evidence for jet emission). We find a possible relation between spin frequency and jet power (Spearman rank 97 per cent), when fitting the X-ray/radio luminosity correlation using a power law with slope 1.4; � = 1.4 is observed in 4U 1728−34 and is predicted for a radiatively efficient disc and a total jet power proportional to the mass accretion rate. If we use a slope of 0.6, as observed in Aql X-1, no significant relation is found. An indication for a similar positive correlation is also found for accreting millisecond X-ray pulsars (Spearman rank 92 per cent), if we fit the X-ray/infrared luminosity correlation using a power law with slope 1.4. While our use of the normalization of the luminosity correlations as a measure of the ranking jet power is subject to large uncertainties, no better proxy for the jet power is available. However, we urge caution in over-interpreting the spin–jet power correlations, particularly given the strong dependence of our result on the (highly uncertain) assumed power-law index of the luminosity correlations (which span less than 3 orders of magnitude in X-ray luminosity). We discuss the results in the framework of current models for jet formation in black holes and young stellar objects and speculate on possible different jet production mechanisms for neutron stars depending on the accretion mode.