Miracle-dz/UniFAR-FTUs huggingface dataset:
On the topological contents of η–invariants

We discuss an universal bordism invariant obtained from the Atiyah-PatodiSinger �-invariant from the analytic and homotopy theoretic point of view. Classical invariants like the Adams e-invariant, �-invariants and String-bordism invariants are derived as special cases. The main results are a secondary index theorem about the coincidence of the analytic and topological constructions and intrinsic expressions for the bordism invariants.
Simple method for calculating island widths

A simple method for calculating magnetic island widths has been developed. This method uses only that information obtained from integrating along the closed field line at the island center. Thus, this method is computationally less intensive than the usual method of producing surfaces of section of sufficient detail to locate and resolve the island separatrix. This method has been implemented numerically and used to analyze the buss work islands of ATF [Fusion Technol. 10, 179 (1986)]. In this case the method proves to be accurate to at least within 20% even though the islands are within a factor of 2 of overlapping.
The Time Course of MHC-I Expression in C57BL/6J and A/J Mice Correlates with the Degree of Retrograde Gliosis in the Spinal Cord following Sciatic Nerve Crush

The pleiotropic role of the major histocompatibility complex class I (MHC-I) reflects the close association between the nervous and immune systems. In turn, MHC-I upregulation postinjury is associated with a better regenerative outcome in isogenic mice following peripheral nerve damage. In the present work, we compared the time course of neuronal, glial, and sensorimotor recovery (1, 3, 5, 7, and 28 days after lesion—dal) following unilateral sciatic nerve crush in A/J and C57BL/6J mice. The A/J strain showed higher expression of MHC-I (7 dal, ** p < 0.01), Iba-1 (microglial reaction, 7 dal, *** p < 0.001), and GFAP (astrogliosis, 5 dal, * p < 0.05) than the C57BL/6J counterpart. Synaptic coverage (synaptophysin) was equivalent in both strains over time. In addition, mRNA expression of microdissected spinal motoneurons revealed an increase in cytoskeleton-associated molecules (cofilin, shp2, and crmp2, * p < 0.05), but not trkB, in C57BL/6J mice. Gait recovery, studied by the sciatic functional index, was faster in the A/J strain, despite the equivalent results of C57BL/6J at 28 days after injury. A similar recovery was also seen for the nociceptive threshold (von Frey test). Interestingly, when evaluating proprioceptive recovery, C57BL/6J animals showed an enlarged base of support, indicating abnormal ambulation postinjury. Overall, the present results reinforce the role of MHC-I expression in the plasticity of the nervous system following axotomy, which in turn correlates with the variable recovery capacity among strains of mice.
Arithmetic with Limited Exponentiation

We present and analyze a natural hierarchy of weak theories, develop analysis in them, and show that they are interpretable in bounded quantifier arithmetic $\text{I}\Delta_0$ (and hence in Robinson arithmetic Q). The strongest theories include computation corresponding to k-fold exponential (fixed k) time, Weak K\"onig's Lemma, and an arbitrary but fixed number of higher level function types with extensionality, recursive comprehension, and quantifier-free axiom of choice. We also explain why interpretability in $\text{I}\Delta_0$ is so rich, and how to get below it.
A class of exact solutions of certain classical field equations in general relativity

This paper deals with certain model statical universes representing exact solutions of some field equations in general relativity. Three universes of this type are discussed. They correspond to combinations of gravitation respectively with (i) electromagnetic field, (ii) scalar or pseudo-scalar field, (iii) Maxwell-Dirac field. Such statical solutions are possible in the first two cases only if mass density and charge density are equal in magnitude, and in the third case only if mass and charge are equal in magnitude, so that matter is in equilibrium under the action of gravitation and other forces. The field equations, in this work, are classical in the sense that no second quantization is involved.
Effect of walking to the operating room on preoperative anxiety in patients scheduled for outpatient laser therapy for venous insufficiency. A monocentric randomized study

Background: Preoperative anxiety in day surgery is associated with a higher incidence of post-operative complications such as postoperative nausea and vomiting, pain or unplanned admission. Objectives: To evaluate the effect of walking to the operating room (OR) on anxiety in ambulatory patients undergoing minimal invasive laser therapy for venous insufficiency. Design and setting: Randomized study in a tertiary hospital between May and November 2019. Methods: 100 patients scheduled for ambulatory laser therapy for venous insufficiency were included. Patients were randomized to walk to the OR (study group, n=50) on even weeks or to lie in a bed to the OR (control group, n=50) on odd weeks. Main outcome measures: Baseline anxiety was assessed using the Amsterdam Preoperative Anxiety and Information Scale (APAIS) and Numerical Rating Scale of anxiety (anxiety-NRS) from 0 to 10 when prepared for departure to OR. Preoperative anxiety-NRS assessment was performed upon arrival in the OR. Results: Patients’ characteristics were similar in both groups. Baseline anxiety-NRS was significantly lower in the study group than in the control group: 2 (1-3) vs. 4 (2-6.5) (p=.013) respectively. No difference was observed between the groups for preoperative anxiety-NRS. A significant reduction in anxiety-NRS on arrival at the OR was observed in the control group compared with the study group (p=.019). Conclusion: Walking to the OR does not reduce anxiety in ambulatory patients undergoing minimal invasive laser therapy for venous insufficiency. But, preparing them to walk to the OR could possibly reduce baseline anxiety while waiting for surgery.
Psycho-emotional states of future specialists in a socionomic area under lockdown and martial law: comparative analysis

The aim of the study is to perform comparative analysis of dominating psycho-emotional states of future specialists in a socionomic area under lockdown and martial law. A verification strategy is suggested for examining psycho-emotional states. The research used participant observation, valid and reliable psycho-diagnostic instruments, factor analysis, coefficients of empirical data reliability. It was established that in the comparison of the selected complex of psychological content parameters Group 1 (under lockdown) and Group 2 (under martial law) there are no significant differences. Two factor structures of the respondents’ psycho-emotional states were created: one of them – during the ongoing COVID-19 pandemic (59.91%) and the other – during the martial law (69.89%). It was found out that the obtained data on psycho-emotional states during the lockdown and the martial law are essentially different that did not allow determining or disproving significant differences by means of statistical coefficients. The study substantiated that the established empirical facts are characterized by scientific novelty which should be taken into consideration by organizers of educational and professional training for specialists in a socionomic area.
Pyrolysis and Gasification of a Real Refuse-Derived Fuel (RDF): The Potential Use of the Products under a Circular Economy Vision

Refuse-Derived Fuels (RDFs) are segregated forms of wastes obtained by a combined mechanical–biological processing of municipal solid wastes (MSWs). The narrower characteristics, e.g., high calorific value (18–24 MJ/kg), low moisture content (3–6%) and high volatile (77–84%) and carbon (47–56%) contents, make RDFs more suitable than MSWs for thermochemical valorization purposes. As a matter of fact, EU regulations encourage the use of RDF as a source of energy in the frameworks of sustainability and the circular economy. Pyrolysis and gasification are promising thermochemical processes for RDF treatment, since, compared to incineration, they ensure an increase in energy recovery efficiency, a reduction of pollutant emissions and the production of value-added products as chemical platforms or fuels. Despite the growing interest towards RDFs as feedstock, the literature on the thermochemical treatment of RDFs under pyrolysis and gasification conditions still appears to be limited. In this work, results on pyrolysis and gasification tests on a real RDF are reported and coupled with a detailed characterization of the gaseous, condensable and solid products. Pyrolysis tests have been performed in a tubular reactor up to three different final temperatures (550, 650 and 750 °C) while an air gasification test at 850 °C has been performed in a fluidized bed reactor using sand as the bed material. The results of the two thermochemical processes are analyzed in terms of yield, characteristics and quality of the products to highlight how the two thermochemical conversion processes can be used to accomplish waste-to-materials and waste-to-energy targets. The RDF gasification process leads to the production of a syngas with a H2/CO ratio of 0.51 and a tar concentration of 3.15 g/m3.
Dietary Curcumin Supplementation Enhanced Ammonia Nitrogen Stress Tolerance in Greater Amberjack (Seriola dumerili): Growth, Serum Biochemistry and Expression of Stress-Related Genes

This study was conducted to determine whether curcumin has a positive effect in greater amberjack (Seriola dumerili), especially the ammonia nitrogen stress tolerance ability. The results showed that the stress recovery process of digestive enzymes amylase and trypsin, as well as absorptive enzymes Na+/K+-ATPase, γ-GT and CK, was accelerated. Lysozyme activity increased in the fish fortified with both curcumin diets. Aspartate aminotransferase activity restriction was activated at a low curcumin level. However, alanine aminotransferase activity restriction happened only at 0.02% dietary curcumin. Facilitation of lipid metabolism by curcumin was very clear, as triglyceride and total cholesterol content was basically maintained at the original level or even showed a slight decrease after recovery. HSP70 and HSP90 genes were not evidently stimulated to express in liver, kidney and spleen tissues. In addition, curcumin showed its inhibition capacity on IL1β and IFN-γ and a promoting effect on TGF-β1. The expression of NF-κB1 decreased in a higher degree in fish fed with 0.02% dietary curcumin, while 0.01% dietary curcumin accelerated the recovery pace of C3 and lgT after stress. This study showed that dietary curcumin supplementation can enhance ammonia nitrogen stress tolerance in greater amberjack, and its application prospect can be confirmed.
Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation

In this article we investigate an action of some operators (not necessary to be linear or sublinear) in the so-called (Bilateral) Grand Lebesgue Spaces (GLS), in particular, double weight Fourier operators, maximal operators, imbedding operators etc. We intend to calculate an exact or at least weak exact values for correspondent imbedding constant. We obtain also interpolation theorems for GLS spaces. We construct several examples to show the exactness of offered estimations. In two last sections we introduce anisotropic Grand Lebesgue Spaces, obtain some estimates for Fourier two-weight inequalities and calculate Boyd’s multidimensional indices for this spaces.
An ingenious methodology of deriving single‐FTFN‐based canonic grounded‐capacitor SRCOs

In the past, several new active elements have been employed to realize single‐resistance‐controlled oscillators (SRCO) of which the four‐terminal‐floating‐nullors (FTFN) have attracted considerable attention in the literature. In this paper, an ingenious methodology of deriving single‐FTFN‐based canonic grounded‐capacitor (GC) SRCOs has been presented. It is shown that such oscillators can be systematically evolved from a class of earlier known op‐amp‐based SRCOs through the application of two theorems pertaining to RC‐nullor oscillators published earlier. The presented methodology not only yields all the previously known (four) single‐FTFN‐based canonic GC SRCOs but also reveals a number of (12) new circuits, which have not been known in the open literature earlier. The viability of the evolved oscillator circuits has been confirmed through SPICE simulations, and some simulation results have been given.
On Spherically Symmetric Motions of the Atmosphere Surrounding a Planet Governed by the Compressible Euler Equations

We consider spherically symmetric motions of inviscid compressible gas surrounding a solid ball under the gravity of the core. Equilibria touch the vacuum with finite radii, and the linearized equation around one of the equilibria has time-periodic solutions. To justify the linearization, we should construct true solutions for which this time-periodic solution plus the equilibrium is the first approximation. But this leads us to difficulty caused by singularities at the free boundary touching the vacuum. We solve this problem by the Nash-Moser theorem.
Similarity of holomorphic matrices on
 1-dimensional Stein spaces

R. Guralnick [Linear Algebra Appl. 99, 85-96 (1988)] proved that two holomorphic matrices on a noncompact connected Riemann surface, which are locally holomorphically similar, are globally holomorphically similar. In the preprints [arXiv:1703.09524] and [arXiv:1703.09530], a generalization of this to arbitrary (possibly, nonsmooth) 1-dimensional Stein spaces was obtained. The present paper contains a revised version of the proof from [arXiv:1703.09524]. The method of this revised proof can be used also in the higher dimensional case, which will be the subject of a forthcoming paper.
On topological approach to local theory of surfaces in Calabi-Yau threefolds

We study the web of dualities relating various enumerative invariants, notably Gromov-Witten invariants and invariants that arise in topological gauge theory. In particular, we study Donaldson-Thomas gauge theory and its reductions to D=4 and D=2 which are relevant to the local theory of surfaces in Calabi-Yau threefolds.
On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class

In this paper, we continue the discussion as done in \cite{CTZ15} on turbulent channel flow described by the Navier-Stokes model and the Navier-Stokes-alpha model. We study the non-stationary solutions for the Navier-Stokes equations and Navier-Stokes-$\alpha$ model having particular function forms. In particular, the term of sum of pressure and potential can be shown to be harmonic in the space variable.
Vitamin D and Calcium as Key Potential Factors Related to Colorectal Cancer Prevention and Treatment: A Systematic Review

Colorectal cancer (CRC) is currently considered one of the most common and lethal types of tumors. Nutrition is of notorious relevance, given its influence in CRC prevention and treatment. This systematic review aimed to revise and update the state of knowledge regarding the potential role of vitamin D and calcium as key factors involved in the prevention and treatment of CRC. A literature search was performed in PubMed and Web of Science. A total of eight studies were finally included in the present review. Vitamin D showed a protective role by promoting transcriptomic changes associated with antitumor effects. However, no significant effects of vitamin D were noted in the relapse-free survival of patients at 5 years. On the other hand, previous scientific evidence demonstrated that calcium regulates the expression of colonic proteins that decrease cell proliferation and increase cell differentiation. Nevertheless, an increased risk of associated serrated adenomas was found in response to calcium and calcium + vitamin D supplementation. Moreover, supplementation with both nutrients showed positive changes on relevant CRC biomarkers including TGFα, TGFβ1, APC, β-catenin and E-cadherin. In conclusion, vitamin D supplementation seems to have a protective effect in the prevention and treatment of CRC, while calcium intake showed contradictory effects as a prevention or treatment tool; therefore, further studies are necessary to well understand its relevance in patients with CRC.
The differential impact of user- and firm-generated content on online brand advocacy: customer engagement and brand familiarity matter

PurposeThe aim of this study is first, to investigate the relative effect of user-generated content (UGC) and firm-generated content (FGC) on online brand advocacy, and second, to examine the mediation effect of customer engagement and the moderation effect of brand familiarity in the relationship between UGC and FGC and online brand advocacy. The differential impact of UGC and FGC on consumer behavior has yet to receive sufficient academic attention among hospitality scholars.Design/methodology/approachBased on social learning theory, cognitive consistency theory and schema theory, this study established an integrated research framework to explain the relationship between the constructs of the study. This study adopts a scenario-based experimental design in two separate studies within contexts to examine the proposed hypotheses.FindingsThe results revealed that UGC is a stronger predictor of online brand advocacy than FGC. A mediation analysis supported that the effect of digital content marketing types on online brand advocacy occurs because of customer engagement. Further, when the brand was familiar, participants showed a higher level of online brand advocacy than when they were exposed to FGC (vs. unfamiliar brand), whereas the effect of familiar and unfamiliar brands on online brand advocacy remains slightly close to each other when the participants were exposed to UGC. Brand familiarity positively enhanced participants’ engagement when they were exposed to UGC. Further, customer engagement is only a significant mediator when the brand is unfamiliar.Practical implicationsThis paper presents significant managerial implications for hospitality companies about how they can effectively enhance brand advocacy in the online medium.Originality/valueThis research provides a novel contribution by examining the differential impact of UGC and FGC on online brand advocacy as well as uncovering the underlying mechanism of how and under what conditions user- and firm-generated content promotes online brand advocacy in the hospitality context.
Low Loss Intersection of Si Photonic Wire Waveguides

We fabricated a low loss elliptical intersection of Si photonic wire waveguides on a silicon-on-insulator substrate. An insertion loss of less than 0.1 dB was achieved at a wavelength of 1.55 µm. The experimental loss characteristic closely agreed with the theoretical one. We also used this intersection as a suspension of an air-bridge-type waveguide and evaluated a low loss characteristic similar to that mentioned above.
Random solutions from a regular density functional Hamiltonian: a static and dynamical theory for the structural glass transition

As simple model density functional Hamiltonian is shown to lead to a consistent static and dynamical theory of the structural glass transition where glassy metastable free-energy states play a key role. The crucial concept introduced is a probabilistic order parameter description that results when multiple solutions of the density functional theory are considered where each solution is given a canonical weight. The theory suggests that there are two distinct transition temperatures (or densities). At the higher transition temperature an extensive number of well defined global metastable states appear for the first time. At the lower transition temperature the number of relevant glassy metastable states becomes non-extensive.
Influence of Unsteady State Dynamics on the Rejection of Cadmium (II) by Ultrafiltration

The unsteady-state permeate flux response to a step change in the transmembrane pressure in a stirred ultrafiltration cell was studied. The changes in the gel-layer concentration and gel-layer growth, with the change in the transmembrane pressure were studied. Metal solutions were prepared in a polymeric solvent, and the dynamics of the operating parameters on this process were studied. The process, a hybrid process called Polymer Enhanced Ultrafiltration, (PEUF) was modeled mathematically and validated using experimentation for the change in the transmembrane pressure and concentration of the polymeric solvent added. The permeate flux was modeled using gel-polarization model and first principles model which was solved using MATLAB’s PDE and ODE solver subroutines.
Identification and Application of a Novel Immune-Related lncRNA Signature on the Prognosis and Immunotherapy for Lung Adenocarcinoma

Background: Long non-coding RNA (lncRNA) participates in the immune regulation of lung cancer. However, limited studies showed the potential roles of immune-related lncRNAs (IRLs) in predicting survival and immunotherapy response of lung adenocarcinoma (LUAD). Methods: Based on The Cancer Genome Atlas (TCGA) and ImmLnc databases, IRLs were identified through weighted gene coexpression network analysis (WGCNA), Cox regression, and Lasso regression analyses. The predictive ability was validated by Kaplan–Meier (KM) and receiver operating characteristic (ROC) curves in the internal dataset, external dataset, and clinical study. The immunophenoscore (IPS)-PD1/PD-L1 blocker and IPS-CTLA4 blocker data of LUAD were obtained in TCIA to predict the response to immune checkpoint inhibitors (ICIs). The expression levels of immune checkpoint molecules and markers for hyperprogressive disease were analyzed. Results: A six-IRL signature was identified, and patients were stratified into high- and low-risk groups. The low-risk had improved survival outcome (p = 0.006 in the training dataset, p = 0.010 in the testing dataset, p < 0.001 in the entire dataset), a stronger response to ICI (p < 0.001 in response to anti-PD-1/PD-L1, p < 0.001 in response to anti-CTLA4), and higher expression levels of immune checkpoint molecules (p < 0.001 in PD-1, p < 0.001 in PD-L1, p < 0.001 in CTLA4) but expressed more biomarkers of hyperprogression in immunotherapy (p = 0.002 in MDM2, p < 0.001 in MDM4). Conclusion: The six-IRL signature exhibits a promising prediction value of clinical prognosis and ICI efficacy in LUAD. Patients with low risk might gain benefits from ICI, although some have a risk of hyperprogressive disease.
COVID‐digital health literacy and subjective well‐being of students in Ghana: Mediation‐moderation analyses

Previous research has established a strong association between COVID‐19 digital health literacy (DHL) and subjective well‐being among several populations, including students. With the growing misinformation and heightened fear of COVID‐19 among persons with an underlying medical condition, several scholars have questioned the direct relationship between DHL and well‐being. This study assessed the moderating roles of information accuracy concerns and the existence of an underlying medical condition among students.
The Stability of Gene Selection in Microarray Experiments

Abstract This paper addresses the issue of the stability of lists of genes identified as differentially expressed in microarray experiments. The similarities be- tween gene rankings yielded by various gene selection methods performed with resampled datasets were assessed. The mean percentage of overlapping genes for two rankings varied from 10 to 90% depending on the applied gene selection method and the size of the list. The assessment of the stability of obtained gene rankings seems to be relevant in the analysis of microarray data.