Miracle-dz/UniFAR-FTUs huggingface dataset:
Self-Filtered NIR Photodetectors Based on Silicon Micro-Holes Array for Stable Heart Rate Monitoring

Here, we presented a novel near-infrared (NIR) photodetectors based on Si micro-holes array/graphene (SiMHs/Gr) Schottky barrier diode (SBD) for monitoring heart rate. The SBD exhibited a unique self-filtered NIR response in a range from 900 nm to 1160 nm with a responsivity of 122 mA/W at zero bias voltage. Moreover, our device possessed an ultrahigh signal to noise ratio (SNR) of more than $10^{{5}}$ between visible and NIR light. The presented self-filtered NIR photodetector was used as a non-contact transmission-type photoplethysmography sensor for real-time heart rate monitoring. Due to the suppression of disturbances caused by ambient light, our device performed more accurate heart rate monitoring than those extracted from commercial broadband photodetectors.
Modified Technology Acceptance Model For Measuring Online Training Adoption in Indonesia

The pandemic has changed almost all of the ways people do their activities. One of the changes felt was a change in learning activities that were forced to be held online. For approximately 2 years the implementation of knowledge transfer is carried out remotely using certain applications with the support of existing technology and the internet. Transformed learning is not only formal learning in schools but also informal learning such as online courses or training. The pandemic has indirectly catalyzed the growth of 2 new business sectors, namely the health sector and the education sector / Education Technology. Indonesia is a country with a very large population and is very attractive to foreign business players, including those in the Education Technology sector. Therefore, research to analyze the adoption of online training is important to help local startups in the Education Technology sector develop products that are suitable for the Indonesian market. This study aims to examine the factors that influence the behavior of online course/training adoption. The proposed model is a development of the TAM model which is given several additional variables. This research used a set of questionnaire and valid data gathered from 161 samples. Data were analyzed by using Partial Least Square. The result shows that the model has a strong predictive power for measuring future use behavior.
K-theory of group Banach algebras and Banach property RD

We investigate Banach algebras of convolution operators on the $L^p$ spaces of a locally compact group, and their K-theory. We show that for a discrete group, the corresponding K-theory groups depend continuously on $p$ in an inductive sense. Via a Banach version of property RD, we show that for a large class of groups, the K-theory groups of the Banach algebras are independent of $p$.
Ophthalmic Hydrogel Contact Lens Material Containing Magnesium Oxide Nanoparticles and 3-(Trifluoromethyl)styrene for Biomedical Application

This research was conducted for the synthesis and application of ophthalmic lens materials with improved oxygen permeability and durability. Polyvinylpyrrolidone (PVP), N-vinyl-2-pyrrolidone (NVP), 3-(trifluoromethyl)styrene (3-TFMSt), and magnesium oxide nanoparticles were used as additives for the basic combination of 2-hydroxyethyl methacrylate (HEMA). Additionally, the materials were copolymerized with ethylene glycol dimethacrylate (EGDMA) as the cross-linking agent and azobisisobutyronitrile (AIBN) as the initiator. The addition of magnesium oxide nanoparticles was found to increase the tensile strength from 0.0631 to 0.0842 kgf/mm2. Copolymerization with a small amount of 3-TFMSt of about 1% increased the tensile strength to 0.1506 kgf/mm2 and the oxygen permeability from 6.00 to 9.64 (cm2/s)∙(mLO2/mL·mmHg)∙10−11. The contact lens material produced using N-vinyl-2-pyrrolidone and magnesium oxide nanoparticles as additives satisfied the basic physical properties required for hydrogel contact lenses and is expected to be used usefully as a material for fabricating high-performance hydrogel lenses.
A Local-Global Equality on Every Affine Variety Admitting Points in an Arbitrary Rank-One Subgroup of a Global Function Field

For every affine variety over a global function field, we show that the set of its points with coordinates in an arbitrary rank-one multiplicative subgroup of this function field is topologically dense in the set of its points with coordinates in the topological closure of this subgroup in the product of the multiplicative group of those local completions of this function field over all but finitely many places.
A journey from the Hitchin section to the
 oper moduli

This paper provides an introduction to the mathematical notion of \emph{quantum curves}. We start with a concrete example arising from a graph enumeration problem. We then develop a theory of quantum curves associated with Hitchin spectral curves. A conjecture of Gaiotto, which predicts a new construction of opers from a Hitchin spectral curve, is explained. We give a step-by-step detailed description of the proof of the conjecture for the case of rank $2$ Higgs bundles. Finally, we identify the two concepts of \textit{quantum curve} arising from the topological recursion formalism with the limit oper of Gaiotto's conjecture.
All-Pass NGD FIR Original Study for Sensor Failure Detection Application

This article deals with original design, implementation, test, and potential application of finite impulse response (FIR) with uncommon all-pass negative group delay (AP-NGD) circuit. The counterintuitive AP-NGD numerical circuit theory is established. The design method of first-order AP-NGD circuit is introduced with respect to the specified time-advance. The first-order difference equation was synthesized, designed, and implemented in STM32 Microcontroller Unit, and experimented to validate the AP-NGD characteristics. The AP-NGD FIR prototype was tested in the time-domain with Gaussian and arbitrary waveform sensored signals. Calculated and experimented results in very good agreement with the most significant time-advance −10 s ever experimented before are obtained. The potential industrial application of the NGD predictor for sensor fault diagnosis in real-time is described.
On mechanical waves and Doppler shifts from moving boundaries

We investigate the propagation of infinitesimal harmonic mechanical waves emitted from a boundary with variable velocity and arriving at a stationary observer. In the classical Doppler effect, Xs(t)=vt is the location of the source with constant velocity v. In the present work, however, we consider a source co‐located with a moving boundary x=Xs(t), where Xs(t) can have an arbitrary functional form. For ‘slowly moving’ boundaries (i.e., ones for which the timescale set by the mechanical motion is large in comparison to the inverse of the frequency of the emitted wave), we present a multiple‐scale asymptotic analysis of the moving boundary problem for the linear wave equation. We obtain a closed‐form leading‐order (with respect to the latter small parameter) solution and show that the variable velocity of the boundary results not only in frequency modulation but also in amplitude modulation of the received signal. Consequently, our results extend the applicability of two basic tenets of the theory of a moving source on a stationary domain, specifically that (i) Ẋs for non‐uniform boundary motion can be inserted in place of the constant velocity v in the classical Doppler formula and (ii) that the non‐uniform boundary motion introduces variability in the amplitude of the wave. The specific examples of decelerating and oscillatory boundary motion are worked out and illustrated. Copyright © 2017 John Wiley & Sons, Ltd.
Convergence of the density of states and delocalization of eigenvectors on random regular graphs

Consider a random regular graph of fixed degree $d$ with $n$ vertices. We study spectral properties of the adjacency matrix and of random Schr\"odinger operators on such a graph as $n$ tends to infinity. We prove that the integrated density of states on the graph converges to the integrated density of states on the infinite regular tree and we give uniform bounds on the rate of convergence. This allows to estimate the number of eigenvalues in intervals of size comparable to $\log_{d-1}^{-1}(n)$. Based on related estimates for the Green function we derive results about delocalization of eigenvectors.
Ground-states for the liquid drop and TFDW models with long-range attraction

We prove that both the liquid drop model in $\mathbb{R}^3$ with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizs\"{a}cker (TFDW) model attain their ground-states \emph{for all} masses as long as the external potential $V(x)$ in these models is of long range, that is, it decays slower than Newtonian (e.g., $V(x)\gg |x|^{-1}$ for large $|x|$. ) For the TFDW model we adapt classical concentration-compactness arguments by Lions, whereas for the liquid drop model with background attraction we utilize a recent compactness result for sets of finite perimeter by Frank and Lieb.
Microstructure evolution and mechanical property of powder metallurgy Ti6Al4V alloy with high oxygen concentrations

ABSTRACT High oxygen Ti6Al4V alloys are fabricated by vacuum sintering and hot rolling using hydrogenation-dehydrogenation Ti6Al4V powder and ZrO2 powder as raw materials. The complete dissolution of oxygen and zirconium atoms results in an increase in lattice constant and strength. As-rolled Ti64-ZrO2 sample exhibits a bimodal structure with a fine acicular α phase of around 1 μm. Ti64-0.75 ZrO2 alloy with equivalent oxygen content close to 0.6 wt. -% presents a good combination of the high tensile strength (1180.2 MPa) and sufficient elongation (7.3%). Therefore, the critical oxygen content for the ductile-to-brittle transition of powder metallurgy Ti6Al4V alloy can be improved by suitable preparation methods. The formation of a fine β transformation structure may be one of the reasons for maintaining sufficient ductility.
Monotone wave fronts for $(p, q)$-Laplacian driven reaction-diffusion equations

We study the existence of monotone heteroclinic traveling waves for the \begin{document}$\end{document} -dimensional reaction-diffusion equation \begin{document}$u_t = (\vert u_x \vert^{p-2} u_x + \vert u_x \vert^{q-2} u_x)_x + f(u), \;\;\;\; t ∈ \mathbb{R}, \; x ∈ \mathbb{R}, $ \end{document} where the non-homogeneous operator appearing on the right-hand side is of \begin{document}$(p, q)$\end{document} -Laplacian type. Here we assume that \begin{document}$2 ≤ q and \begin{document}$f$\end{document} is a nonlinearity of Fisher type on \begin{document}$[0, 1]$\end{document} , namely \begin{document}$f(0) = 0 = f(1)$\end{document} and \begin{document}$f > 0$\end{document} on \begin{document}$]0, 1[\, $\end{document} . We give an estimate of the critical speed and we comment on the roles of \begin{document}$p$\end{document} and \begin{document}$q$\end{document} in the dynamics, providing some numerical simulations.
Maximal subalgebras of finite-dimensional algebras

Abstract We study maximal associative subalgebras of an arbitrary finite-dimensional associative algebra B over a field 𝕂 {\mathbb{K}} and obtain full classification/description results of such algebras. This is done by first obtaining a complete classification in the semisimple case and then lifting to non-semisimple algebras. The results are sharpest in the case of algebraically closed fields and take special forms for algebras presented by quivers with relations. We also relate representation theoretic properties of the algebra and its maximal and other subalgebras and provide a series of embeddings between quivers, incidence algebras and other structures which relate indecomposable representations of algebras and some subalgebras via induction/restriction functors. Some results in literature are also re-derived as a particular case, and other applications are given.
Exponential ergodicity of an affine two-factor model based on the α-root process

Abstract We study an affine two-factor model introduced by Barczy et al. (2014). One component of this two-dimensional model is the so-called α-root process, which generalizes the well-known Cox–Ingersoll–Ross process. In the α = 2 case, this two-factor model was used by Chen and Joslin (2012) to price defaultable bonds with stochastic recovery rates. In this paper we prove exponential ergodicity of this two-factor model when α ∈ (1, 2). As a possible application, our result can be used to study the parameter estimation problem of the model.
Speed Sensorless Control Method of Synchronous Reluctance Motor Based on Resonant Kalman Filter

When estimating the active back electromotive force (AEMF) of synchronous reluctance motor (SynRM) at medium and high speed, the traditional Kalman filter (KF) will produce large phase delay due to the low-pass filter characteristics. A novel speed sensorless control scheme of SynRM based on resonant Kalman filter (RKF) is proposed in this article. First, the AEMF observer based on KF is designed and the bandwidth performance is analyzed. To solve the phase delay problem caused by KF, a generalized integral resonance perturbation estimator (GIRPE) is introduced to the framework of KF and the proposed RKF is formed. The estimation error of AEMF is compensated through GIRPE in the current error feedback loop of KF observer. In this way, the high-precision position estimation at high speed range is obtained. Finally, an improved dynamic position compensator is proposed to enhance the position estimation performance under dynamic case. The effectiveness of proposed scheme is validated at a 1.5-kW SynRM drive, and the computational burden of the proposed method is assessed quantitatively.
Construction and Classification of Symmetry-Protected Topological Phases in Interacting Fermion Systems

The classification and lattice model construction of symmetry protected topological (SPT) phases in interacting fermion systems are very interesting but challenging. In this paper, we give a systematic fixed point wave function construction of fermionic SPT (FSPT) states for generic fermionic symmetry group $G_f=\mathbb{Z}_2^f \times_{\omega_2} G_b$ which is a central extension of bosonic symmetry group $G_b$ (may contain time reversal symmetry) by the fermion parity symmetry group $\mathbb{Z}_2^f = \{1,P_f\}$. Our construction is based on the concept of equivalence class of finite depth fermionic symmetric local unitary (FSLU) transformations and decorating symmetry domain wall picture, subjected to certain obstructions. We will also discuss the systematical construction and classification of boundary anomalous SPT (ASPT) states which leads to a trivialization of the corresponding bulk FSPT states. Thus, we conjecture that the obstruction-free and trivialization-free constructions naturally lead to a classification of FSPT phases. Each fixed-point wave function admits an exactly solvable commuting-projector Hamiltonian. We believe that our classification scheme can be generalized to point/space group symmetry as well as continuum Lie group symmetry.
On an algorithm for comparing the chromatic symmetric functions of trees

It is a long-standing conjecture of Stanley that the chromatic symmetric function distinguishes unrooted trees. Previously, the best computational result came from Russell, who proved this for all trees with at most $25$ vertices. In this paper, we present a novel probabilistic algorithm which may be used to check the conjecture more efficiently. Applying it, we verify the conjecture for all trees with up to $28$ vertices.
On plastikstufe, bordered Legendrian open book and overtwisted contact structures

In this paper we prove the presence of an embedded plastikstufe implies overtwistedness of the contact structure in any dimension. Moreover, we show in dimension 5 that the presence of an embedded bordered Legendrian open book (bLob) also implies overtwistedness. Applications of these criteria to certain (contact) fibered connected sums and open books are discussed.
Efficacy of Bioceramic and Calcium Hydroxide-Based Root Canal Sealers against Pathogenic Endodontic Biofilms: An In vitro Study

Background: Complete eradication of root canal pathogens cannot be predictably achieved by chemomechanical preparation and root canal disinfection. Therefore, an obturation material that has superior antimicrobial activity and sealing ability is required to inactivate residual microbes and prevent them from reentering the root canal system. Recently developed bioceramic root canal sealers are hydraulic cement which form calcium hydroxide during the hydration process. Like calcium hydroxide sealers, they exert an antimicrobial effect by releasing hydroxyl ions and increasing the pH. Objective: The objective of this study was to evaluate and compare the antimicrobial activity of a calcium hydroxide-based sealer and two bioceramic sealers against Porphyromonas gingivalis, Enterococcus faecalis, and Candida albicans biofilms. Materials and Methods: The sealers were dissolved in sterile saline to obtain supernatants. Biofilm formation assays, colony counting, and real-time polymerase chain reaction (PCR) were performed to evaluate the antimicrobial activity of each supernatant. The data were analyzed using one-way analysis of variance. Results: All sealers exerted effects against all three microbial biofilms. The biofilm formation assays showed that the bioceramic sealers were more effective against P. gingivalis and E. faecalis biofilms. In contrast, colony counting and real-time PCR showed that the calcium hydroxide sealer was significantly more effective than the bioceramic sealers. All tests showed that the calcium hydroxide sealer was more effective against C. albicans, with the colony count and real-time PCR results showing statistically significant differences. Conclusion: The calcium hydroxide-based sealer was more effective than the bioceramic sealers in eradicating pathogenic root canal biofilms.
Parabolic Catalan numbers count flagged Schur functions; Convexity of tableau sets for Demazure characters

Shuffles are n-multipermutations with suit multiplicities given by a subset R of {1,. ,n-1}. Their inverses are ordered partitions of {1,. ,n} whose block sizes derive from R. These "R-permutations" depict the min length coset reps for the quotient of S_n by the parabolic subgroup W_J, with J the complement of R. We refer to those that blockwise avoid the pattern 312 as "312-avoiding R-permutations" and define the "parabolic R-Catalan number" to be the number of them. Let lambda be a partition of N with at most n parts whose set of shape column lengths less than n is R. We show that the number of flagged Schur functions formed on the shape of lambda is this parabolic R-Catalan number, and list over a dozen other phenomena that are enumerated by it. Let pi be an R-permutation. We view the Demazure character (key polynomial) indexed by (lambda,pi) as the sum of the content weight monomials for our "pi-Demazure" semistandard tableaux of shape lambda with entries from {1,. ,n}. We show that the set of these tableaux is convex in Z^N if and only if pi is a 312-avoiding R-permutation. A flagged Schur function is the sum of the content weight monomials for the semistandard tableaux of shape lambda whose entries are row-wise bounded by a given weakly increasing n-tuple. We consider general row bound sums for which the bounds may be any n-tuple. Reiner and Shimozono and then Postnikov and Stanley obtained results concerning coincidences between flagged Schur functions and Demazure characters: when lambda is strict, the flagged Schur functions exactly coincide with the 312-avoiding Demazure characters. For general lambda we introduce precise indexing sets of n-tuple bounds for the row bound sums. This and our convexity results are used to sharpen their coincidence results, to extend them to general row bound sums, and to show they hold at the deeper level of coinciding underlying tableau sets.
Softwarized Resource Management and Allocation With Autonomous Awareness for 6G-Enabled Cooperative Intelligent Transportation Systems

Cooperative intelligent transport system (C-ITS) is one emerging application scenario in 6G. Within the content of 6G, softwarization is the dominant attribute of networks. 6G networks are required to have the intelligence and autonomy attributes, too. With softwarization and autonomy, not only the network capable of flexibly managing softwarized resources can be achieved, but also the network can learn and adapt itself with respect to the dynamic networking environment. However, multiple issues stand in the way of developing 6G networks, requiring to be addressed. In this paper, the softwarized resource management and allocation with autonomy and intelligence awareness in 6G networks for C-ITS application is researched. Firstly, key enabling technologies and problem model of 6G-enabled C-ITS are described. Then, an architecture design enabling to achieve the intelligent and softwarized resource management and allocation per service request, abbreviated as ReMaAl-AutoNet, is proposed. The proposed architecture design, based on reinforcement learning (RL), can realize the intelligent resource management and allocation by undergoing the training. Afterwards, simulations are illustrated to validate the proposed ReMaAl-AutoNet architecture. For instance, the successful ratio of ReMaAl-AutoNet has an advantage of over ten percentages than the direct counterpart without training.
Boundedness and large time behavior in a higher-dimensional Keller--Segel system with singular sensitivity and logistic source

This paper focuses on the following Keller-Segel system with singular sensitivity and logistic source $$ \left\{\begin{array}{ll} u_t=\Delta u-\chi\nabla\cdot(\frac{u}{v}\nabla v)+ au-\mu u^2,\quad x\in \Omega, t>0, \disp{ v_t=\Delta v- v+u},\quad x\in \Omega, t>0 \end{array}\right. \eqno(\star) $$ in a smoothly bounded domain $\Omega\subset\mathbb{R}^N(N\geq1)$, with zero-flux boundary conditions, where $a>0,\mu>0$ and $\chi>0$ are given constants. If $\chi$ is small enough, then, for all reasonable regular initial data, a corresponding initial-boundary value problem for $(\star)$ possesses a global classical solution $(u, v)$ which is {\bf bounded} in $\Omega\times(0,+\infty)$. Moreover, if $\mu$ is large enough, the solution $(u, v)$ exponentially converges to the constant stationary solution $(\frac{a}{\mu }, \frac{a}{\mu })$ in the norm of $L^\infty(\Omega)$ as $t\rightarrow\infty$. To the best of our knowledge, this new result is {\bf the first} analytical work for the boundedness and {\bf asymptotic behavior} of Keller--Segel system with {\bf singular sensitivity} and {\bf logistic source} in higher dimension case ($N\geq3$).