Miracle-dz/UniFAR-FTUs huggingface dataset:
Signatures of secondary collisionless magnetic reconnection driven by kink instability of a flux rope

The kinetic features of secondary magnetic reconnection in a single flux rope undergoing internal kink instability are studied by means of three-dimensional particle-in-cell simulations. Several signatures of secondary magnetic reconnection are identified in the plane perpendicular to the flux rope: a quadrupolar electron and ion density structure and a bipolar Hall magnetic field develop in proximity of the reconnection region. The most intense electric fields form perpendicularly to the local magnetic field, and a reconnection electric field is identified in the plane perpendicular to the flux rope. An electron current develops along the reconnection line, in the opposite direction of the electron current supporting the flux rope magnetic field structure. Along the reconnection line, several bipolar structures of the electric field parallel to the magnetic field occur, making the magnetic reconnection region turbulent. The reported signatures of secondary magnetic reconnection can help to localize magnetic reconnection events in space, astrophysical and fusion plasmas.
Parking functions for trees and mappings

We apply the concept of parking functions to rooted labelled trees and functional digraphs of mappings (i.e., functions $f : [n] \to [n]$) by considering the nodes as parking spaces and the directed edges as one-way streets: Each driver has a preferred parking space and starting with this node he follows the edges in the graph until he either finds a free parking space or all reachable parking spaces are occupied. If all drivers are successful we speak about a parking function for the tree or mapping. We transfer well-known characterizations of parking functions to trees and mappings. Especially, this yields bounds and characterizations of the extremal cases for the number of parking functions with $m$ drivers for a given tree $T$ of size $n$. Via analytic combinatorics techniques we study the total number $F_{n,m}$ and $M_{n,m}$ of tree and mapping parking functions, respectively, i.e., the number of pairs $(T,s)$ (or $(f,s)$), with $T$ a size-$n$ tree (or $f : [n] \to [n]$ an $n$-mapping) and $s \in [n]^{m}$ a parking function for $T$ (or for $f$) with $m$ drivers, yielding exact and asymptotic results. We describe the phase change behaviour appearing at $m=\frac{n}{2}$ for $F_{n,m}$ and $M_{n,m}$, respectively, and relate it to previously studied combinatorial contexts. Moreover, we give a bijective proof of the occurring relation $n F_{n,m} = M_{n,m}$.
Quantum deformed algebras : Coherent states and special functions

The Heisenberg algebra is first deformed with the set of parameters ${q, l, \lambda}$ to generate a new family of generalized coherent states. In this framework, the matrix elements of relevant operators are exactly computed. A proof on sub-Poissonian character of the statistics of the main deformed states is provided. This property is used to determine a generalized metric. A unified method of calculating structure functions from commutation relations of deformed single-mode oscillator algebras is then presented. A natural approach to building coherent states associated to deformed algebras is deduced. Known deformed algebras are given as illustration. Futhermore, we generalize a class of two-parameter deformed Heisenberg algebras related to meromorphic functions, called ${\cal R}(p,q)$-deformed algebra. Relevant families of coherent states maps are probed and their corresponding hypergeometric series are computed. The latter generalizes known hypergeometric series and gives to a generalization of the binomial theorem. The involved notions of differentiation and integration generalize the usual $q$- and $(p,q)$-differentiation and integration. A Hopf algebra structure compatible with the ${\cal R}(p,q)$-algebra is deduced. We succeed in giving a new characterization of Rogers- Szeg\"o polynomials, called ${\cal R}(p,q)$-deformed Rogers-Szeg\"o polynomials, by their three-term recursion relations and the associated quantum algebra built with corresponding creation and annihilation operators. Continuous ${\cal R}(p,q)$-deformed Hermite polynomials and their recursion relation are also deduced. Novel algebraic relations are provided and discussed. The whole formalism is performed in a unified way, generalizing known relevant results which are straightforwardly derived as particular cases.
Galois differential algebras and categorical discretization of dynamical systems

A categorical theory for the discretization of a large class of dynamical systems with variable coefficients is proposed. It is based on the existence of covariant functors between the Rota category of Galois differential algebras and suitable categories of abstract dynamical systems. The integrable maps obtained share with their continuous counterparts a large class of solutions and, in the linear case, the Picard-Vessiot group.
Antifungal Activity of Patch Silver Nanoparticles and Chitosan with Cellulose Nanofibers Carriers against Trichophyton rubrum and Pitysporum ovale

Abstract. Wounds that are not treated and are kept open will provide an entrance for microorganisms from outside that can cause infection. One of the medical needs whose demand continues to increase is wound dressings. Chitosan is known to have wound healing activity by stimulating the formation of new tissue, and silver nanoparticles have good antimicrobial activity. Silver nanoparticles and chitosan with cellulose nanofibers carrier are made in the form of patches with the ratio formula between cellulose nanofibers and chitosan/silver nanoparticles are 1:9, 2:8, 3:8, 4:7, 5:5, 6:4, 7:3, 8:2, 9:1, and 10:0 then tested the antifungal activity against Trichophyton rubrum and Pitysporum ovale for finding the best formula for antifungal activity. The analysis showed that the patch with a ratio of 6:4 had the best antifungal activity against Trichophyton rubrum (14.7±0.1 mm) and a 9:1 patch on the Pitysporum ovale (6.9±0.05 mm) gave a significant difference to negative control (p<0.05). It can be concluded that the Patches Silver Nanoparticle and Chitosan with Cellulose Nanofibers (SNCCN) carriers have good antifungal activity in the inhibitory category.
An SC-Parallel-Inductor Hybrid Buck Converter With Reduced Inductor Voltage and Current

This article presents a switched-capacitor (SC)-parallel-inductor buck (CPL-Buck) converter with reduced inductor voltage and current. The proposed CPL-Buck converter reduces the voltage stress on the power inductor with a series-connected flying capacitor in one phase, alleviating the current stress with a parallel-connected SC path in both phases. Therefore, it effectively lowers the average inductor current as well as its ripple, allowing the utilization of a small-volume inductor to deliver a large output current. In addition, to cover a wide voltage conversion ratio (VCR) range, the proposed CPL-Buck is able to operate in either a sub-1/3X mode or a sub-1/2X mode. This work, fabricated in 65-nm CMOS, occupies an area of 2.72 mm2. Measurement results show that the proposed CPL-Buck obtains a peak efficiency of 92.9% and a peak current density of 0.3 A/mm2 with a power inductor as small as $1.6\times 0.8\times0.8$ mm3, with an input range of 3–4.2 V, an output range of 0.6–1 V, and 1.2-A maximum output current.
The future of the eHighway system: a vision of a sustainable, climate-resilient, and artificially intelligent megaproject

Abstract Artificial intelligence (AI) can be used to support intelligent and sustainable mobility solutions. For AI to be functional, it must be supplied with reliable data. With the continuous expansion of the data base for AI, it can fill data gaps based on learning effects and thus increase data quality. The electric Highway (eHighway) system as a sustainable mobility solution for long-distance road freight transport is a megaproject where the use of AI can be helpful. As a case study for this paper, the research project ELISA (‘ELektrifizierter, Innovativer Schwerverkehr auf Autobahnen’ = ‘electrified, innovative road freight transport on motorways’) was chosen in which the eHighway has been tested on a 10 km test track in Hesse (Germany) for about 2.5 years. The data on overhead line hybrid trucks and overhead line infrastructure obtained from the project was analysed in terms of their availability and combined to the overall availability of the eHighway system. These results provided the basis for a subsequent SWOT analysis to evaluate the integrability of AI in the eHighway system. The findings from the SWOT analysis show that with the continuous improvement of data availability and quality, the use of AI in the eHighway system is feasible. Energy, cost, and operational improvements in the eHighway system are expected through the use of AI.
Unique Cartan decomposition for II_1 factors arising from arbitrary actions of hyperbolic groups

We prove that for any free ergodic probability measure preserving action $\Gamma \actson (X,\mu)$ of a non-elementary hyperbolic group, or a lattice in a rank one simple Lie group, the associated group measure space II_1 factor $L^\infty(X) \rtimes \Gamma$ has L^\infty(X) as its unique Cartan subalgebra, up to unitary conjugacy.
Topological field theories on manifolds with Wu structures

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we gauge it, producing topological field theories whose path integral reduces to a finite sum, akin to Dijkgraaf-Witten theories. We take a general point of view where the Chern-Simons gauge group and its couplings are encoded in a local system of integral lattices. The Lagrangian of these theories has to be interpreted as a class in a generalized cohomology theory in order to obtain a gauge invariant action. We develop a computationally friendly cochain model for this generalized cohomology and use it in a detailed study of the properties of the Wu Chern-Simons action. In the three-dimensional spin case, the latter provides a definition of the "fermionic correction" introduced recently in the literature on fermionic symmetry protected topological phases. In order to construct the state space of the gauged theories, we develop an analogue of geometric quantization for finite abelian groups endowed with a skew-symmetric pairing. The physical motivation for this work comes from the fact that in the k = 1 case, the gauged 7-dimensional topological field theories constructed here are essentially the anomaly field theories of the 6-dimensional conformal field theories with (2,0) supersymmetry, as will be discussed elsewhere.
Limit law for number of components of fixed sizes of graphs with degree one or two

In this note, we consider labelled simple graphs with all vertices of degree 1 or 2. We denote by Gn1,n2 the set of such graphs with n1 vertices of degree 1, and n2 vertices of degree 2. Throughout the document, the size refers to the number of vertices. The random variable Uj counts the number of connected components of size j in a graph drawn uniformly at random from Gn1,n2 . The main result is that for any fixed integer q ≥ 2 and real number α > 0, for n1 = 2k is a large even number and n2 = bαn1/2c, the random vector (U2, . . . , Uq) has a Gaussian limit distribution as k →∞.
Comparative Study of the Mesomechanical Response of Asphalt Bridge Deck Pavement under Multiple Loads

Asphalt bridge deck pavement is a weak bridge structure area, and early damage usually occurs in this area under vehicle loads. Due to the complexity and diversity of vehicle loads and material structures, it is difficult to truly reflect the mechanical response of bridge deck pavement under vehicle loads. This paper studies the vehicle road interaction from a microscopic perspective. In this research, the dynamic response of asphalt bridge deck pavement under multiple loads is comparatively studied, considering the mesoscopic structure of the asphalt materials. First, the compressive properties, tensile properties and interlaminar shear properties of each layer were studied through laboratory tests. Second, the asphalt mixture bridge deck pavement model, including mesostructured, was established. Then, the subprograms of the sinusoidal vibration load, rolling load and vehicle road coupling load were realised using the discrete element method (DEM). Finally, the mesomechanical response of asphalt bridge deck pavement under those three dynamic loads was comparatively studied. The study finds that there is a large difference in the mechanical response of bridge deck pavement under multiple loads. A sinusoidal vibration load can simply be the moving load, the edge of the loading area and the bottom of the lower layer bear large tensile stress, and the shear stress at the edge of the loading area is approximately 4 times that of the middle area. The rolling load can better reflect the status of the vehicle. There is a certain difference in the shear stress response between the rolling load and the sinusoidal vibration load, and the lower layer bears compressive–tensile alternating stress. Under the vehicle road coupling load, the volatility of the dynamic response is obvious due to the road roughness. Therefore, it is of vital importance to improve the abrasion resistance of the surface layer. The results show that the comprehensive consideration of multiple loads and the mesostructure can provide a more reliable method for the dynamic design of bridge deck pavement, which is of great significance for improving the durability of the pavement.
The Gelfand-Tsetlin graph and Markov processes

The goal of the paper is to describe new connections between representation theory and algebraic combinatorics on one side, and probability theory on the other side. The central result is a construction, by essentially algebraic tools, of a family of Markov processes. The common state space of these processes is an infinite dimensional (but locally compact) space Omega. It arises in representation theory as the space of indecomposable characters of the infinite-dimensional unitary group U(infinity). Alternatively, Omega can be defined in combinatorial terms as the boundary of the Gelfand-Tsetlin graph --- an infinite graded graph that encodes the classical branching rule for characters of the compact unitary groups U(N). We also discuss two other topics concerning the Gelfand-Tsetlin graph: (1) Computation of the number of trapezoidal Gelfand-Tsetlin schemes (one could also say, the number of integral points in a truncated Gelfand-Tsetlin polytope). The formula we obtain is well suited for asymptotic analysis. (2) A degeneration procedure relating the Gelfand-Tsetlin graph to the Young graph by means of a new combinatorial object, the Young bouquet. At the end we discuss a few related works and further developments.
Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat

This paper is concerned with the existence and qualitative properties of pulsating fronts for spatially periodic reaction-diffusion equations with bistable nonlinearities. We focus especially on the influence of the spatial period and, under various assumptions on the reaction terms and by using different types of arguments, we show several existence results when the spatial period is small or large. We also establish some properties of the set of periods for which there exist non-stationary fronts. Furthermore, we prove the existence of stationary fronts or non-stationary partial fronts at any period which is on the boundary of this set. Lastly, we characterize the sign of the front speeds and we show the global exponential stability of the non-stationary fronts for various classes of initial conditions.
Partial separability revisited II: Multipartite entanglement measures

The main concern of this paper is how to define proper measures of multipartite entanglement for mixed quantum states. Since the structure of partial separability and multipartite entanglement is getting complicated if the number of subsystems exceeds two, one can not expect the existence of an ultimate scalar entanglement measure, which grasps even a small part of the rich hierarchical structure of multipartite entanglement, and some higher order structure characterizing that is needed. In this paper we make some steps towards this direction. First, we reveal the lattice-theoretic structure of the partial separability classification, introduced earlier [Sz. Szalay and Z. Kokenyesi, Phys. Rev. A 86, 032341 (2012)]. It turns out that, mathematically, the structure of the entanglement classes is the up-set lattice of the structure of the different kinds of partial separability, which is the down-set lattice of the lattice of the partitions of the subsystems. It turns also out that, physically, this structure is related to the LOCC convertibility: if a class can completely be mapped into another one by the use of LOCC, then it can be found higher in the hierarchy. Second, we introduce the notion of multipartite monotonicity, expressing that a given set of entanglement monotones, while measuring the different kinds of entanglement, shows also the same hierarchical structure as the entanglement classes. Then we construct such hierarchies of entanglement measures, and propose a physically well-motivated one, being the direct multipartite generalization of the entanglement of formation based on the entanglement entropy, motivated by the notion of statistical distinguishability. The multipartite monotonicity shown by this set of measures motivates us to consider the measures to be the different manifestations of some "unified" notion of entanglement.
Massive MIMO With Group SIC Receivers and Low-Resolution ADCs Over Rician Fading Channels

This paper investigates the performance of uplink massive multiple-input multiple-output (MIMO) systems with low-resolution analog-to-digital converters (ADCs) operating over Rician fading channels. We study zero-forcing (ZF) group successive interference cancellation (GSIC) receivers, which cover the ZF and ZF-SIC receivers as two special cases. The spectrum efficiency (SE) is analyzed for general power allocation under both perfect and imperfect channel state information (CSI). We further derive the optimal power allocation for a given quality-of-service (QoS) for the GSIC receivers. Based on random matrix theory, the corresponding asymptotic approximations of the signal-to-interference-plus-noise-ratio (SINR) for the system and the power allocation are derived for both perfect and imperfect CSI. The derived approximations are verified and shown highly accurate, providing fast characterization of the performance and near-optimal resource allocation for different system parameters. The numerical and approximation results both indicate that power allocation improves the overall energy efficiency (EE), while the GSIC receiver can yield a high EE with a very small number of groups. Besides, the EE of the system can be improved with intermediate-resolution ADCs and ordered SIC (OSIC).
Effectiveness of Jolly Phonics Program towards Strengthening of Language Literacy: Experimental Case in the Philippines

The Programme for International Student Assessment result of being the lowest in reading comprehension is the main reason that compelled the researcher to conduct the study with the use of the Jolly Phonics program in strengthening language literacy. In addition, at the Division of Cabuyao, there is an issue regarding reading difficulties among Grades 1 to 3 of selected public elementary schools. Despite many strategies being applied, they still find it difficult to read and comprehend. The purpose of this paper is to determine the effectiveness of the Jolly Phonics program in strengthening language literacy and test the hypotheses that there is no significant relationship between the performance of the two groups considering the results of the post-test in language literacy. There were two groups of participants in the study, the experimental group, who utilized the Jolly phonics program, and the comparison group, who were subjected to the Marungko approach. Each approaches utilized thirty (30) pupils from Grades 1 to 3, combining the sum total of 540 participating pupils for three selected elementary schools. The instrument used was the pretest and post-test validated by experts from the City School Division Office. A quasi-experiment research design guided the conduct of the study. A frequency percentage distribution, t-test for independent means, and Analysis of Variance (ANOVA) were among the statistical tools employed in the study. Findings revealed that there was a significant difference in the performance between and among the participating public elementary schools (ES)for Grades 1 to 3. For instance, in Grade 1, it was noted that the performance of Banay – Banay ES was a bit higher than Butong ES and was considerably higher than that of San Isidro ES; In Grade 2, Banay – Banay ES topped in their reading performance compared to other two elementary schools; and In Grade 3, San Isidro ES at this time showed better performance, running over in reading proficiency the other two elementary schools. The action plan was proposed by the researcher of the study to strengthen the language literacy of the learners in the Division of Cabuyao
An exactly solvable model for nonlinear resonant scattering

This work analyses the effects of cubic nonlinearities on certain resonant scattering anomalies associated with the dissolution of an embedded eigenvalue of a linear scattering system. These sharp peak-dip anomalies in the frequency domain are often called Fano resonances. We study a simple model that incorporates the essential features of this kind of resonance. It features a linear scatterer attached to a transmission line with a point-mass defect and coupled to a nonlinear oscillator. We prove two power laws in the small coupling (γ → 0) and small nonlinearity (μ → 0) regime. The asymptotic relation μ ∼ Cγ4 characterizes the emergence of a small frequency interval of triple harmonic solutions near the resonant frequency of the oscillator. As the nonlinearity grows or the coupling diminishes, this interval widens and, at the relation μ ∼ Cγ2, merges with another evolving frequency interval of triple harmonic solutions that extends to infinity. Our model allows rigorous computation of stability in the small μ and γ limit. The regime of triple harmonic solutions exhibits bistability—those solutions with largest and smallest response of the oscillator are linearly stable and the solution with intermediate response is unstable.
A combinatorial formula for fusion coefficient

Using the expansion of the inverse of the Kostka matrix in terms of tabloids as presented by Egecioglu and Remmel, we show that the fusion coefficients can be expressed as an alternating sum over cylindric tableaux. Cylindric tableaux are skew tableaux with a certain cyclic symmetry. When the skew shape of the tableau has a cutting point, meaning that the cylindric skew shape is not connected, or if its weight has at most two parts, we give a positive combinatorial formula for the fusion coefficients. The proof uses a slight modification of a sign-reversing involution introduced by Remmel and Shimozono. We discuss how this approach may work in general.