Miracle-dz/UniFAR-FTUs huggingface dataset:
Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type

In recent years several results have been published concerning blow-up of solutions to semilinear parabolic and hyperbolic equations. We mention here the works [1]-[7] and their references. A special attention was given not only to the description of the set of blow-up points but also to the description of the behaviour of the solutions near the blow-up points as time tends to the blow-up time [3]-[6] . All these papers dealt with semilinear parabolic and hyperbolic equations with classical boundary conditions, i . e , Dirichlet’s, Neumann’s and Robin’s conditions. In the present work blow-up results and characterization of the blowup up set (Bus) in the case of particular geometries are established for semilinear parabolic and hyperbolic equations of the following types:
Risk factors for persistent pain after breast cancer surgery: a multicentre prospective cohort study

Identifying factors associated with persistent pain after breast cancer surgery may facilitate risk stratification and individualised management. Single‐population studies have limited generalisability as socio‐economic and genetic factors contribute to persistent pain development. Therefore, this prospective multicentre cohort study aimed to develop a predictive model from a sample of Asian and American women. We enrolled women undergoing elective breast cancer surgery at KK Women's and Children's Hospital and Duke University Medical Center. Pre‐operative patient and clinical characteristics and EQ‐5D‐3L health status were recorded. Pain catastrophising scale; central sensitisation inventory; coping strategies questionnaire‐revised; brief symptom inventory‐18; perceived stress scale; mechanical temporal summation; and pressure‐pain threshold assessments were performed. Persistent pain was defined as pain score ≥ 3 or pain affecting activities of daily living 4 months after surgery. Univariate associations were generated using generalised estimating equations. Enrolment site was forced into the multivariable model, and risk factors with p < 0.2 in univariate analyses were considered for backwards selection. Of 210 patients, 135 (64.3%) developed persistent pain. The multivariable model attained AUC = 0.807, with five independent associations: age (OR 0.85 95%CI 0.74–0.98 per 5 years); diabetes (OR 4.68, 95%CI 1.03–21.22); pre‐operative pain score at sites other than the breast (OR 1.48, 95%CI 1.11–1.96); previous mastitis (OR 4.90, 95%CI 1.31–18.34); and perceived stress scale (OR 1.35, 95%CI 1.01–1.80 per 5 points), after adjusting for: enrolment site; pre‐operative pain score at the breast; pre‐operative overall pain score at rest; postoperative non‐steroidal anti‐inflammatory drug use; and pain catastrophising scale. Future research should validate this model and evaluate pre‐emptive interventions to reduce persistent pain risk.
Composition operator on Bloch type spaces

Let B and B 0 denote the α−Bloch spaces and little α−Bloch spaces. An analytic map φ of the unit disk into itself induces an operator Cφ on analytic functions by composition. We study the boundedness and compactness of composition operators Cφ from B(B 0 ) to B β(B 0 ) for 0 < α, β < ∞. 2000 Mathematics Subject Classification: 47B38, 47B07, 30D55. 1. NOTATIONS AND RESULTS Let D denote the unit disk in the complex plane, H(D) be the space of all analytic functions on D. A function f ∈ H(D) is said to belong to the α−Bloch space B if ‖f‖α = |f(0)|+ sup z∈D (1− |z|2)α|f ′(z)| < ∞, and to the little α−Bloch space B 0 if lim |z|→1 (1− |z|2)αf ′(z) = 0. It is well-known that B is a Banach space under the above norm and B 0 is a closed subspace of B (see, for example, [13], [7] for more information on α−Bloch and little α−Bloch spaces). If α = 1, B and B 0 become the well-known Bloch space and little Boch space [2]. Let φ : D → D be an analytic self-map of the unit disk. The composition operator Cφ induced by such φ is the linear map on the spaces of all analytic functions on the unit disk defined by Cφ(f) = f ◦ φ. (1.1)
Short- and mid-term outcomes in systemic lupus erythematosus patients presenting with disease exacerbation after SARS-CoV-2 mRNA vaccination: A cohort study from Puerto Rico

Objective To determine if SARS-CoV-2 mRNA vaccination has an impact on the clinical course of systemic lupus erythematosus (SLE). Methods Puerto Ricans with SLE who received mRNA COVID-19 vaccines were studied. Demographic parameters, clinical manifestations, disease activity (per Systemic Lupus Erythematosus Disease Activity Index (SLEDAI), disease damage (per Systemic Lupus International Collaborating Clinics/American College of Rheumatology Damage Index), emergency room visits, hospitalizations, and pharmacologic therapy were determined. Baseline variables (prior to vaccination) were compared between patients with and without exacerbation after SARS-CoV-2 vaccination. Among those with exacerbation, clinical outcomes were determined up to 1 year after vaccination. Results Of the entire cohort (n = 247), 14 (5.7%) had post-vaccination exacerbations. Photosensitivity, oral ulcers, anti-Ro antibodies, higher SLEDAI score, and corticosteroids exposure were associated with post-vaccination flares. Among those with post-vaccination flares, 10 (71.4%) had major organ involvement. No significant differences were observed for mean SLEDAI scores, emergency room visits, hospitalizations, disease damage, and exposure to immunosuppressive drugs before and after SARS-CoV-2 mRNA vaccination. At 12 months of follow-up, all patients were fully controlled without evidence of active disease. Conclusion In our group of SLE patients, 5.7% had a disease flare after SARS-CoV-2 mRNA vaccination. Most had exacerbations involving major organs/systems. Mucocutaneous manifestations, anti-Ro antibodies, disease activity, and corticosteroids were associated with flares. Awareness of these factors and the possibility of a major lupus flare after vaccination with COVD-19 vaccines is critical to provide timely and effective therapy.
Progress in genetics of type 2 diabetes and diabetic complications

Type 2 diabetes results from a complex interaction between genetic and environmental factors. Precision medicine for type 2 diabetes using genetic data is expected to predict the risk of developing diabetes and complications and to predict the effects of medications and life‐style intervention more accurately for individuals. Genome‐wide association studies (GWAS) have been conducted in European and Asian populations and new genetic loci have been identified that modulate the risk of developing type 2 diabetes. Novel loci were discovered by GWAS in diabetic complications with increasing sample sizes. Large‐scale genome‐wide association analysis and polygenic risk scores using biobank information is making it possible to predict the development of type 2 diabetes. In the ADVANCE clinical trial of type 2 diabetes, a multi‐polygenic risk score was useful to predict diabetic complications and their response to treatment. Proteomics and metabolomics studies have been conducted and have revealed the associations between type 2 diabetes and inflammatory signals and amino acid synthesis. Using multi‐omics analysis, comprehensive molecular mechanisms have been elucidated to guide the development of targeted therapy for type 2 diabetes and diabetic complications.
Non-Debye dielectric dispersion of barium titanate stannate in the relaxor and diffuse phase-transition state

Frequency dependence Tm(f ) of the permittivity maximum temperature observed in BaTi1−xSnx03, x=0.2 (BTS20), confirms that this composition is close above threshold xc for relaxor behavior in BTS. The low-frequency permittivity carries a ln(1/f )-frequency dependence in the vicinity of Tm, both for x=0.2 and x=0.125<xc. At temperatures T<Tm, the non-Debye contribution of both compositions shows a qualitatively different temperature dependence, indicating basic differences between the diffuse phase-transition state and the relaxor state of BTS.
Dynamics of the young multiple system GG Tauri . II. Relation between the stellar system and the circumbinary disk

The quadruple young system GG Tauri is an example of a multiple T Tauri system. Its consists of two binaries, the brighter one ( GG Tau A) being surrounded by a ring-shape circumbinary disk. In a recent paper, we performed a dynamical study of circumbinary and showed that there is an apparent discrepancy between the orbital fit of GG Tau A and the observed inner edge of the disk. In this paper, we now investigate the dynamics of the whole quadruple system together with the disk. We show that it is possible to design an orbital configuration between the two binaries in such a way that the outer profile of the circumbinary ring may be explained by tidal interaction with repeated periastron passages of the outer binary GG Tau B. We show that the observed characteristics of the disk are not compatible with some orbital configurations, such as those giving rise to the Kozai resonance. Surprisingly, the outer binary GG Tau B appears only marginally stable against tidal disruption by GG Tau A. GG Tau B appears stable only if its internal orbit is retrograde with respect to the motion of its center of mass around GG Tau A. We also find that the CB disk should be almost coplanar with the inner binary.
Dynamics of Oil Ganglia During Immiscible Displacement in Water-Wet Porous Media

Strong interest in the dynamic behavior of a population of non-wetting ganglia undergoing immiscible displacement has arisen because this problem is central to the understanding of oil-bank formation during enhanced oil recovery by chemical flooding. The same problem arises in the analysis of the relative permeabilities to any pair of wetting and non-wetting phases, when the saturation of the wetting phase exceeds approx. 0.60. Saturation of a phase is defined as the fraction of the void space that is occupied by that phase. Many drainage or imbibition phenomena fall into this category. This work concentrates on the case where the non-wetting phase is oleic (oil-based), the wetting phase is aqueous, and the objective is enhanced oil recovery. Discussions include theoretical modeling of the porous medium; mobilization, fissioning, and stranding of a solitary oil ganglion; and dynamics of oil-ganglion populations. 39 references.
Calcium carbide-ripened plantain induced alterations in plasma electrolytes concentration and kidney function in rats

Abstract Introduction: Artificial fruit ripening agents such as ethanol, ethylene, ethephon, and calcium carbide (CaC2) is usually employed in stimulating the fruit ripening process. Currently, there is a paucity of information regarding the effects of various artificial fruits ripening methods on the health status of consumers. In this study, the physiological effects and possible health hazards associated with the consumption of plantain ripened by CaC2 and other non-chemical methods on the kidneys were investigated. Methods: Artificially ripened plantain was mixed with rat feed and fed to Wistar albino rats for four weeks, and the levels of plasma electrolytes (Na+ , HCO3 −, K+, and Cl−), urea, creatinine, as well as histological changes in the kidneys were determined. Results: Results indicated that rats fed with carbide-ripened plantain had a significantly high level of plasma bicarbonate (HCO3 −) compared to control rats. , but there was no difference in the level of plasma sodium (Na+). However, the levels of plasma potassium (K+) and chloride (Cl−) were significantly low in rats fed with CaC2-ripened plantain as compared to the control rats. Furthermore, the levels of urea and creatinine were significantly high in rats fed with CaC2-ripened plantain compared to the control animals. Histological analyses showed glomeruli atrophy and tubular necrosis in kidneys of rats fed with CaC2-ripened plantain, thereby further indicating toxicity to the kidneys. Conclusions: Histological evidence and alterations in the level of the plasma electrolytes, urea, and creatinine suggest that consumption of fruits ripened with calcium carbide may be harmful to the kidneys.
Are Color Experiences the Same across the Visual Field?

Abstract It seems obvious to laypeople that neurotypical humans experience color equivalently across their entire visual field. To some neuroscientists, psychologists, and philosophers, though, this claim has been met with skepticism, as neurophysiological evidence indicates the mechanisms that support color perception degrade with eccentricity. However, the argument that this entails altered color experience in peripheral vision is not universally accepted. Here, we address whether color experience is essentially equivalent between central and peripheral vision. To assess this, we will obtain similarity relationships between color experiences across the visual field using both online and laboratory-based far-field displays, while removing the confounds of saccades, memory, and expectation about color experiences. Our experiment was designed to provide clear evidence that would favor either unchanged or altered color experience relationships in the periphery. Our results are consistent with lay people's phenomenological reports: Color experiences, as probed by similarity relationships in central vision and the far field (60°), are equivalent when elicited by large stimuli. These findings challenge the widespread view in philosophy and cognitive science that peripheral color experiences are illusory, and are discussed in the context of their related neurophysiological, psychophysical, and philosophical literature.
Observation of individual dopants in a thin silicon layer by low temperature Kelvin Probe Force Microscope

Detection of individual dopants in the thin silicon layer using Kelvin Probe Force Microscopy is presented. The analysis of the surface potential images taken at low temperatures (13K) on n-type and p-type samples reveals local potential fluctuations that can be attributed to single phosphorus and boron atoms, respectively. Results are confirmed by simulation of surface potential induced by dopants and by the back gate voltage dependence of the measured potential.
Phosphorus in the dense interstellar medium

An observational study was made of interstellar (and circumstellar) phosphorus chemistry by means of (1) a survey of PN in energetic star-forming regions (several new detections); (2) a search for PN in cold cloud cores; and (3) a search for HPO, HCP, and PH3 in interstellar and circumstellar sources. The results are consistent with previously developed ion-molecule models of phosphorus chemistry and imply large depletion factors for P in dense clouds: about 1000 in warm star-forming cores and more than 10,000 in cold cloud cores. Thermochemical equilibrium models have been developed for the P chemistry in C-rich and O-rich environments, and it is found that HCP contains all the phosphorus in the C-rich case. The search for HCP in IRC 10216 yields an upper limit which, taken together with the recent detection of CP, implies significant depletion of HCP onto grains. Depletion factors for first- and second-row elements in diffuse and dense interstellar clouds are summarized, and an overall picture of circumstellar and interstellar grain and gas-phase processes is proposed to explain the depletions of N, O, C, S, Si, P, and in particular the high depletions of Si and P. 101 refs.
Affine structure of facially symmetric spaces

In [7], the authors proposed the problem of giving a geometric characterization of those Banach spaces which admit an algebraic structure. Motivated by the geometry imposed by measuring processes on the set of observables of a quantum mechanical system, they introduced the category of facially symmetric spaces. A discrete spectral theorem for an arbitrary element in the dual of a reflexive facially symmetric space was obtained by using the basic notions of orthogonality, protective unit, norm exposed face, symmetric face, generalized tripotent and generalized Peirce projection, which were introduced and developed in this purely geometric setting.
Preoperative elevated eosinophils in peripheral blood for prediction of postoperative recurrence of chronic subdural hematoma.

OBJECTIVE Chronic subdural hematoma (CSDH) is a common neurological disease with a significant postoperative recurrence rate. There are numerous reported studies of the development of CSDH. In recent years, fibrinolysis, angiogenesis, and inflammation have all been identified as relevant factors in the development of CSDH. While several authors have reported risk factors associated with CSDH recurrence, differential blood count of leukocytes has not yet been discussed. Therefore, in this study the authors aimed to retrospectively investigate the association between differential blood leukocyte count and the rate of CSDH recurrence. METHODS The authors retrospectively reviewed 476 patients with 529 CSDHs who underwent surgery at a single institution between January 2011 and December 2021. After exclusion of patients who had not undergone a differential blood test of leukocytes preoperatively, CSDHs in 517 cerebral hemispheres of 466 patients were included in the study. Peripheral blood eosinophil counts ≥ 100/µL were considered eosinophil rich. RESULTS CSDHs in 494 cerebral hemispheres of 445 patients were followed up postoperatively for at least 3 months or until resolution indicated by CSDH disappearance. Postoperative recurrence of CSDH was observed in 46 cerebral hemispheres (9.3%). Among the preoperative differential blood counts of all leukocytes, eosinophils alone were significantly associated with CSDH recurrence (median [IQR] 76/µL [30-155/µL] vs 119/µL [39-217/µL]; p = 0.03). Multivariable regression analysis showed thrombocytopenia (adjusted OR [aOR] 5.23, 95% CI 1.85-14.79; p = 0.002), use of anticoagulant drugs (aOR 2.51, 95% CI 1.17-5.38; p = 0.02), hematoma volume (10 mL per increase) (aOR 1.08, 95% CI 1.00-1.16; p = 0.04), and eosinophil-rich peripheral blood (aOR 2.22, 95% CI 1.17-4.23; p = 0.02) were all independent predictors for CSDH recurrence. CONCLUSIONS This study showed that preoperative peripheral blood eosinophil count was an independent risk factor for CSDH recurrence. Therefore, patients with CSDH who have elevated eosinophils preoperatively in peripheral blood require careful follow-up.
Nutritional Recommendations for People with Type 1 Diabetes Mellitus

Affiliations 1 Vivantes Hospital Spandau, Berlin, Germany 2 Vivantes Humboldt Hospital, Berlin, Germany 3 Institute of Human Nutrition, Faculty of Agriculture and Nutritional Sciences, Christian-Albrechts University of Kiel, Kiel, Germany 4 Department of Endocrinology, Diabetes and Nutritional Medicine, Charité Universitätsmedizin Berlin, Berlin, Germany 5 German Center for Diabetes Research (DZD), Munich, Germany 6 Faculty of Nutrition and Food Sciences, Niederrhein University of Applied Sciences, Mönchengladbach, Germany 7 Institute of Nutrition and Food Sciences, Rhenish Friedrich Wilhelm University of Bonn, Bonn, Germany 8 Diabetes Center Bad Mergentheim, Bad Mergentheim, Germany 9 Institute for Epidemiology, Christian-Albrechts University of Kiel, Kiel, Germany 10 ZIEL – Institute for Food & Health, Technical University Munich, Freising, Germany published online 13.01. 2023
What is a spin glass? A glimpse via mesoscopic noise

It is an open question whether the slow dynamics of spin glasses is more accurately described by a model based on rather compact droplets which can flip thermally, or by a picture of more diffuse sets of flipping spins with properties described by hierarchical dynamics. Techniques have been developed for analyzing spontaneous fluctuations in mesoscopic samples which can directly address this question. In a well-known spin glass, CuMn, the experimental results are better fit by the hierarchical picture. Previously unexplored properties of the space of metastable configurations are directly measurable by these mesoscopic methods
Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method

Recently, many new applications in engineering and science are governed by a series of fractional partial differential equations (FPDEs). Unlike the normal partial differential equations (PDEs), the differential order in an FPDE is with a fractional order, which will lead to new challenges for numerical simulation, because most existing numerical simulation techniques are developed for the PDE with an integer differential order. The current dominant numerical method for FPDEs is finite difference method (FDM), which is usually difficult to handle a complex problem domain, and also difficult to use irregular nodal distribution. This paper aims to develop an implicit meshless approach based on the moving least squares (MLS) approximation for numerical simulation of fractional advection–diffusion equations (FADE), which is a typical FPDE The discrete system of equations is obtained by using the MLS meshless shape functions and the meshless strong‐forms. The stability and convergence related to the time discretization of this approach are then discussed and theoretically proven. Several numerical examples with different problem domains and different nodal distributions are used to validate and investigate the accuracy and efficiency of the newly developed meshless formulation. It is concluded that the present meshless formulation is very effective for the modeling and simulation of the FADE. Copyright © 2011 John Wiley & Sons, Ltd.
Surface Magnetostatic Modes and Surface Spin Waves

Examination of the spatial configuration of the magnetostatic modes of a ferromagnetic body shows that those modes whose frequency lies between $\ensuremath{\omega}=\ensuremath{\gamma}{({B}_{i}{H}_{i})}^{\frac{1}{2}}$ and $\ensuremath{\omega}=\ensuremath{\gamma}({H}_{i}+2\ensuremath{\pi}M)$ are surface modes. It is also found that the complete spin-wave spectrum consists of a set of surface spin waves in addition to the spin-wave band usually considered. The magnetostatic mode spectrum thus merges smoothly into the spin-wave spectrum.
Instability of Jets of Non‐Newtonian Fluids

The instability of jets of some non‐Newtonian fluids under the influence of externally controlled disturbances was studied. Dispersion curves were generated over a range of frequencies. Jets of a 0.1% solution of Carbopol in water, a viscoinelastic fluid, showed a breakup pattern similar to that of jets of water. The dispersion curve matched a viscosity intermediate to the zero shear viscosity of the solution and the viscosity that corresponds to the average shear rate in the tube. Subject to external disturbances, jets of Separan solutions showed a remarkably ordered and regular pattern. On jets of 0.1% Separan, sinusoidal wave formation was absent and a ligament‐droplet configuration formed from the outset. On the less elastic 0.05% Separan jets, there is an initial region in which sinusoidal waves grow exponentially; the growth is later arrested and a ligament‐droplet configuration results. In the initial region the growth rates are about equal to the growth rates that a jet of a Newtonian fluid of the.