Miracle-dz/UniFAR-FTUs huggingface dataset:
Groups and polytopes

In a series of papers the authors associated to an $L^2$-acyclic group $\Gamma$ an invariant $\mathcal{P}(\Gamma)$ that is a formal difference of polytopes in the vector space $H_1(\Gamma;\Bbb{R})$. This invariant is in particular defined for most 3-manifold groups, for most 2-generator 1-relator groups and for all free-by-cyclic groups. In most of the above cases the invariant can be viewed as an actual polytope. In this survey paper we will recall the definition of the polytope invariant $\mathcal{P}(\Gamma)$ and we state some of the main properties. We conclude with a list of open problems.
A note on the simultaneous Waring rank of monomials

In this paper we study the complex simultaneous Waring rank for a collection of monomials. Our approach is algebraic and combinatorial. For special collections of monomials, the simultaneous Waring rank is an inclusion-exclusion formula. Moreover, we give an application to ranks of binomials and maximal simultaneous ranks.
Splitting criteria for a definite 4-manifold with infinite cyclic fundamental group

Two criteria for a closed connected definite 4-manifold with infinite cyclic fundamental group to be TOP-split are given. One criterion extends a sufficient condition made in a previous paper. The result is equivalent to a purely algebraic result on the question asking when a positive definite Hermitian form over the ring of integral one-variable Laurent polynomials is represented by an integer matrix. As an application, an infinite family of orthogonally indecomposable unimodular odd definite symmetric $Z$-forms is produced.
Overview on stationary and transient divertor heat loads

The divertor concept and the divertor materials envisaged for ITER FEAT restrict the maximum values of the stationary and transient heat fluxes. The maximum stationary heat flux is limited by the active cooling structure. The limit for transient events is given by the maximum tolerable surface temperature. This paper will review different options for divertor heat flux reduction. Proper geometric orientation of the divertor targets reduces the heat flux to the target plates at most by a factor of 60 relative to the parallel heat flux determined by upstream transport. The radiation capability of closed divertor configurations is doubled compared to open configurations. A further reduction of maximum heat load can be achieved by increasing the wetted area in double-null plasma configurations. The energy transported by transient events (type I ELMs) is up to 30% of the total energy deposited in the divertor. The heat flux profile during ELMs is not significantly broadened and is comparable to the profile between ELMs. The duration of the energy deposition varies with edge plasma parameters between 0.1 and 1 ms. The expected transient heat flux for ITER FEAT conditions is above the tolerable value. This requires the further development of operation scenarios with tolerable ELMs (e.g. type II) preserving the high energy confinement of type I ELM scenarios.
Nonlinear waves in Poynting-flux dominated outflows

Rotating, compact objects power some of the most spectacular phenomena in astrophysics, e.g., gamma-ray bursts, active galactic nuclei and pulsar winds. The energy is carried by Poynting flux, and the system is usually modelled using relativistic magnetohydrodynamics (MHD). However, in the relatively low density medium expected around some of these objects, the MHD approximation breaks down, allowing new, large-amplitude waves to propagate. We discuss the role of these waves in two astrophysical contexts: In blazar jets, we show that a magnetic shear, launched together with a plasma from the black hole magnetosphere, begins to accelerate particles at a large distance from its source. The resulting non-thermal emission can, nevertheless, be modulated on very short timescales, which can explain the rapid variability of the TeV gamma-ray flux observed from some blazars. In pulsar winds, we analyze the radial propagation of superluminal modes, including their damping by radiation reaction and by interaction with an external photon field. We discuss their effect on the structure of the pulsar wind termination shock, presenting new solutions in which the non-linear wave is asymptotically matched to the constant pressure surroundings. The observational implications of these solutions are discussed for both isolated pulsars, and pulsars in binary systems.
Does Mindfulness Matter for Cognitive Reappraisal and Academic Engagement? A Cross-Lagged Panel Model Study in Filipino High School Students

Previous evidence has revealed that mindful individuals tend to pay more attention to specific tasks and demonstrate better work engagement. However, prior investigations commonly used cross-sectional designs to examinine the link of mindfulness to engagement in Western societies. This research explores the association of mindfulness with cognitive reappraisal and academic engagement via a two-wave longitudinal design in 381 Filipino high school students from Quezon City, Philippines joined this research. Cross-lagged panel structural equation modeling demonstrated that mindfulness had positive concurrent associations with cognitive reappraisal and engagement. Academic engagement was linked to increased subsequent cognitive reappraisal. Mindfulness is linked to increased concurrent cognitive reappraisal and academic engagement. This research contributes to existing evidence regarding the inconclusive links of mindfulness to learning outcomes.
Intrinsically frustrated superconducting array of superconductor-ferromagnet-superconductor π junctions

We report a direct observation of the transition of the superconductor-ferromagnet-superconductor (SFS) junctions to the \ensuremath{\pi} state. This manifests itself in the half-period shift of the external magnetic field dependence of the transport critical current in the triangular SFS arrays. The shift is associated with the appearance of spontaneous supercurrents in the array at zero external field, with the ground state degenerated with respect to the two possible current flow directions. In conventional Josephson arrays this state can be observed only by imposing a frustrating external field equal to a half-integer number of magnetic flux quanta per array cell.
Successive Light Interference Cancellation and Allocation (SLICA) Algorithm for Indoor VLC System: A Backbone for 6G Network

This paper considers a successive light interference cancellation and allocation algorithm (SLICA) practicing interference cancellation for an indoor visible light communication (VLC) system based on successive interference cancellation (SIC) technique. The interference among users is cancelled with the help of the proposed approach to reduce computational complexity. VLC has become the cornerstone of intelligence in the current scenario. The data services allocated to the users are demand based and rely on their channel conditions. The data is allocated to user by modulating light waves via illuminated LEDs. The receiving end has photodiode installed in it to recover back the data. Better performance rate is achieved with lesser interference with the proposed approach. To guarantee good (quality-of service) QoS, considerable simulations are carried out considering real- time scenario which further demonstrates the high level performance of the proposed approach over conventional approach. Based on the analysis, the SINR and interference level is demonstrated for the conventional and the proposed approach and there is a hike in the performance rate of SINR and interference level of about 20 – 30 % with the applied proposed approach. The prior motto of this study is to enhance the system throughput and improve per user average performance rate and reducing the complexity of the system. This contributes to the total efficiency of the optical indoor VLC network. Our proposed algorithm will provide a strong backbone for the 6G deployment.
Evaluation of Ensemble Configurations for the Analysis and Prediction of Heavy-Rain-Producing Mesoscale Convective Systems*

AbstractThis study investigates probabilistic forecasts made using different convection-allowing ensemble configurations for a three-day period in June 2010 when numerous heavy-rain-producing mesoscale convective systems (MCSs) occurred in the United States. These MCSs developed both along a baroclinic zone in the Great Plains, and in association with a long-lived mesoscale convective vortex (MCV) in Texas and Arkansas. Four different ensemble configurations were developed using an ensemble-based data assimilation system. Two configurations used continuously cycled data assimilation, and two started the assimilation 24 h prior to the initialization of each forecast. Each configuration was run with both a single set of physical parameterizations and a mixture of physical parameterizations. These four ensemble forecasts were also compared with an ensemble run in real time by the Center for the Analysis and Prediction of Storms (CAPS). All five of these ensemble systems produced skillful probabilistic foreca.
An Aperture Synthesis Survey of the Galactic Plane

The results of a survey already published have been used to construct contour maps and ruled surface diagrams of the brightness temperature at 29·9 MHz near the galactic plane between I = 225° and 30°. The angular resolution was 0°· 8 at the zenith, and the range of zenith angles involved was ± 30°. Restoration of the background was achieved with the aid of a low resolution filled-aperture survey carried out by others. The brightness temperature scale was calibrated absolutely. The optical depth of the Galaxy in directions within 40° of latitude from the centre has been estimated by a method which relies only on the shapes of brightness temperature profiles and not on absolute temperature calibrations. If an electron temperature is assumed, r.m.s. electron densities can be deduced. The average value of the disc emissivity at 29·9 MHz and the value of its spectral index have been calculated from brightness temperature profiles observed at a number of different frequencies, calibrations being required for these purposes. About 29 discrete absorption regions have been observed and identified with optically observed HII regions, and the fact that these are all nearer than 4 kpc permits a choice between kinematic distances in two cases. The Carina nebula and RCW 108 lend themselves to the measurement of local emissivities, and values of these together with their implications have already been published. A number of previously unlisted nonthermal sources have been observed, many of which are objects of low surface brightness and probably are supernova remnants.
On the Scalar-Help-Vector Source Coding Problem

In this paper, we consider a scalar-help-vector source coding problem for $L+1$ correlated Gaussian memoryless sources. We deal with the case where $L$ encoders observe noisy linear combinations of $K$ correlated Gaussian scalar sources which work as partial side information at the decoder, while the remaining one encoder observes a vector Gaussian source which works as the primary source we need to reconstruct. We determine an outer region for the case where the $L$ sources are conditionally independent of the vector source. We also show an inner region for a special case when the vector source can be regard as $K$ scalar sources.
Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups

Abstract Let G be a finite non-abelian simple group and let Γ be a connected tetravalent 2-arc-transitive G-regular graph. In 2004, Fang, Li, and Xu proved that either G is normal in the full automorphism group of Γ, or G is one of up to 22 exceptional candidates. In this paper, the number of exceptions is reduced to 7, and for each one, it is shown that has a normal arc-transitive non-abelian simple subgroup T such that and the pair (G, T) is explicitly given. Furthermore, there exists a G-regular -arc-transitive graph for each of the 7 pairs (G, T).
Analyzing organizational factors in Greek tourism services

The purpose of the paper is to investigate the interaction of human resource management, strategic leadership, role conflict, job commitment, and job stress of employees in a public tourism organization. The value of this paper lies in the fact that human resources are undoubtedly the most important asset for both private tourism businesses and public tourist organizations (Ntalakos, Belias, & Koustelios, 2022a; Ntalakos, Belias, & Tsigilis, 2022b; Belias & Trihas, 2022a). The success or failure of the goals set by the respective administration depends on this. The above variables interact with each other and affect employee performance, as strategic leadership decisions will affect job stress and job commitment (Belias, Rossidis, Sotiriou, & Malik, 2022). The empirical data used in this paper has been derived from quantitative research which occurred in a sample of 190 persons working in hotels. The outcome of the research is that strategic leadership has an effect on work stress, while it also affects job commitment and the lack of a sense of belonging to the organization. Furthermore, role conflicts affect both job commitment with work stress, while work stress has also an effect on job commitment. An important conclusion is that work stress is not a moderator variable for the examined relationships. Based on the outcome of the research, the recommendation is that public Greek organizations need to empower their human resource management so to increase the job commitment and the leadership capacity of their employees but also to make sure that the work environment is able to reduce stress.
Using regime analysis to identify the contribution of clouds to surface temperature errors in weather and climate models

Many global circulation models (GCMs) exhibit a persistent bias in the 2 m temperature over the midlatitude continents, present in short‐range forecasts as well as long‐term climate simulations. A number of hypotheses have been proposed, revolving around deficiencies in the soil–vegetation–atmosphere energy exchange, poorly resolved low‐level boundary‐layer clouds or misrepresentations of deep‐convective storms.
State-of-the-Art Nanoclay Reinforcement in Green Polymeric Nanocomposite: From Design to New Opportunities

Nanoclays are layered aluminosilicate nanostructures. Depending upon the chemical composition and microscopic structure, various nanoclay types have been discovered such as montmorillonite, bentonite, kaolinite, halloysite nanoclay, etc. Nanoclays have been organically modified to develop compatibility with polymers. Polymer/nanoclay nanocomposites have prompted significant breakthroughs in the field of nanocomposite technology. Green nanocomposites form an important class of nanomaterials using naturally derived degradable materials as matrix/nanofiller. This review essentially deliberates the fundamentals and effect of nanoclay reinforcements in the green polymer matrices. Naturally derived polymers such as cellulose, starch, natural rubber, poly(lactic acid), etc. have been employed in these nanocomposites. Green polymer/nanoclay nanocomposites have been fabricated using various feasible fabrication approaches such as the solution route, melt processing, in situ polymerization, and others. The significance of the structure-property relationships in these nanomaterials, essential to attain the desired features, has been presented. Green polymer/nanoclay nanocomposites are light weight, inexpensiveness, ecofriendly, have a low cost, and enhanced indispensable physical properties. Consequently, the green polymer/nanoclay nanocomposites have found applications towards sustainability uses, packaging, membranes, and biomedical (tissue engineering, drug delivery, wound healing) sectors. However, thorough research efforts are desirable to extend the utility of the green polymer/nanoclay nanocomposites in future technological sectors.
Maintenance of Remission after Oral Metronidazole Add-on Therapy in Rosacea Treatment: A Retrospective, Comparative Study

Background Rosacea is a chronic inflammatory disease which requires treatment to maintain remission. Objective Recently, the effect of Demodex mites in recurrence of rosacea has been described. Although there is limited data, previous reports have suggested that oral metronidazole demonstrated efficacy in treatment of rosacea. Methods Fifty-eight Korean patients with rosacea who received treatment with oral minocycline (50 mg twice daily) only or with two-week of oral metronidazole (250 mg thrice daily) were evaluated retrospectively. Their responses were evaluated by Investigator’s Global Assessment (IGA), Clinician’s Erythema Assessment (CEA), and patient’s Global Assessment. The recurrence rate and odds ratio of risk factors for recurrence were also estimated. Results The combination treatment group reported earlier clinical improvement and lower mean IGA and CEA than the monotherapy group. Approximately 48% of patients with combination treatment did not show relapse within 24 weeks, which is significantly higher than that in the monotherapy group (p=0.042). Conclusion Add-on therapy of oral metronidazole appeared to be a significant protective factor for recurrence of rosacea (p<0.05). This study suggests that oral metronidazole can be added to oral minocycline to reduce relapses in rosacea patients with tolerable safety.
Approximate method for cutting pattern optimization of frame-supported and pneumatic membrane structures

A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by reducing the stress from the desired curved shape. The equilibrium shape is obtained solving a minimization problem of total strain energy. The external work done by the pressure is also incorporated for analysis of pneumatic membrane. An approximate method is also proposed for analysis of an Ethylene TetraFluoroEthylene (ETFE) film, where elasto-plastic behavior is modeled as a nonlinear elastic material under monotonic loading condition. Efficiency of the proposed method is demonstrated through examples of a frame-supported PolyVinyl Chloride (PVC) membrane structure and an air pressured square ETFE film.
Robust Data-Driven Automation Based on Relaxed Supervised Hashing With Self-Optimized Labels

Recently, the Visual Internet of Things (VIoT) has been widely used in data-driven automation, where VIoT devices are used to monitor environmental dynamics and to trigger corresponding actuators after examining event signatures (e.g., hashes). Nonetheless, VIoT devices may collect partially observed data, e.g., largely occluded images, which cause biased labeling and oversensitivity during modeling. Moreover, in typical methods, class labels are rigid and fixed categorical variables, where marginal space between different classes is fixed and equal. In fact, margins may be unequally spaced. Such nonflexibility in class labels inevitably causes fitting difficulty. In light of such, this study proposes relaxed robust supervised hashing (Relaxed RSH) for generating reliable signatures that can simultaneously conquer the above problems caused by incomplete data and rigid margins. To accommodate oversensitivity, this study proposes measuring hash learning loss by robust half quadratic (HQ) functions for modeling incomplete data. In the initial label matrix, slack variables are added to relax binary constraints. Such slack variables can be self-optimized during the learning process and can be used to automatically adjust margins between different classes. Decorrelation, balancing, and normalization constraints based on Relaxed RSH are also devised to provide discriminant and compact codes. Experimental results based on open datasets showed that the proposed method yielded higher mAP and F1 than the baselines. Note to Practitioners—This work is motivated by the problems caused by incomplete data and rigid class margins during event signature (e.g., hash) learning, where hashes are used to trigger automation systems. In existing hashing methods, incomplete data (e.g., continuous occlusion, missing values, and sample-specific outliers) along with rigid class margins cause fitting biases, thereby challenging data-driven automation. This study proposes Relaxed RSH by designing robust HQ loss, self-optimized label learning, and corresponding constraints for generating discriminant hashes. This prevents actuators from being mistriggered by corrupted data. Experiments were conducted on various data corruption. Future research will address the design for incremental/decentralized hash learning.
Zeta functions in brane world cosmology

We present a calculation of the zeta function and of the functional determinant for a Laplace-type differential operator, corresponding to a scalar field in a higher-dimensional de Sitter brane background, which consists of a higher-dimensional anti de Sitter bulk spacetime bounded by a de Sitter section, representing a brane. Contrary to the existing examples, which all make use of conformal transformations, we evaluate the zeta function working directly with the higher-dimensional wave operator. We also consider a generic mass term and coupling to curvature, generalizing previous results. The massless, conformally coupled case is obtained as a limit of the general result and compared with known calculations. In the limit of large anti de Sitter radius, the zeta determinant for the ball is recovered in perfect agreement with known expressions, providing an interesting check of our result and an alternative way of obtaining the ball determinant.
On closures of discrete sets

Abstract The depth of a topological space X (g(X)) is defined as the supremum of the cardinalities of closures of discrete subsets of X. Solving a problem of Martínez-Ruiz, Ramírez-Páramo and Romero-Morales, we prove that the cardinal inequality |X| ≤ g(X) L (X) F (X) holds for every Hausdorﬀ space X, where L(X) is the Lindelöof number of X and F (X) is the supremum of the cardinalities of the free sequences in X.
Trajectories of Change in Career Decision Difficulties During a Manualized Individual Career Counseling Intervention: The Influence of Counselor Adherence, Working Alliance and Client Personality Traits

This study aimed to identify trajectories of change in client career decision difficulties during a manualized career counseling intervention and examine the role of counselor adherence, working alliance, and personality traits in predicting these trajectories. Participants were 257 individuals who received an average of 7.79 career counseling sessions at a university career services center. Using growth mixture modeling, four class-trajectories were identified. Clients in class 1 had a moderate level of decision difficulties at the beginning of counseling while clients in classes 2, 3 and 4 had moderate-salient initial levels of difficulties. Clients in classes 1 and 2 experienced a very large reduction of their decision difficulties during counseling and left the process with negligible levels of difficulties. Clients in class 3 saw a large reduction of their decision difficulties during counseling and left the process with moderate levels of difficulties. Clients in class 4 did not experience change and left the process with moderate-salient levels of difficulties. Counselor adherence to the intervention manual significantly contributed to discriminate between clients from class 4 and clients from classes 1, 2 and 3. Client level of neuroticism significantly contributed to distinguish clients belonging to class 4 from clients belonging to class 1.