Miracle-dz/UniFAR-FTUs huggingface dataset:
Driver Identification Methods in Electric Vehicles, a Review

Driver identification is very important to realizing customized service for drivers and road traffic safety for electric vehicles and has become a research hotspot in the field of modern automobile development and intelligent transportation. This paper presents a comprehensive review of driver identification methods. The basic process of driver identification task is proposed as four steps, the advantages and disadvantages of different data sources for driver identification are analyzed, driver identification models are divided into three categories, and the characteristics and research progress of driver identification models are summarized, which can provide a reference for further research on driver identification. It is concluded that on-board sensor data in the natural driving state is objective and accurate and could be the main data source for driver identification. Emerging technologies such as big data, artificial intelligence, and the internet of things have contributed to building a deep learning hybrid model with high accuracy and robustness and representing an important gradual development trend of driver identification methods. Developing a driver identification method with high accuracy, real-time performance, and robustness is an important development goal in the future.
A classification of nullity classes in the derived category of a ring

For a commutative Noetherian ring $R$ with finite Krull dimension, we study the nullity classes in $D^c_{fg}(R)$, the full triangulated subcategory $D^c_{fg}(R)$ of the derived category $D(R)$ consisting of objects which can be represented by cofibrant objects with each degree finitely generated. In the light of perversity functions over the prime spectrum $\mathrm{Spec} R$, we prove that there is a complete invariant of nullity classes thus that of aisles (or equivalently, $t$-structures) in $D^c_{fg}(R)$.
The maximum size of a non-trivial intersecting uniform family that is not a subfamily of the Hilton--Milner family

The celebrated Erdős-Ko-Rado theorem determines the maximum size of a $k$-uniform intersecting family. The Hilton-Milner theorem determines the maximum size of a $k$-uniform intersecting family that is not a subfamily of the so-called Erdős-Ko-Rado family. In turn, it is natural to ask what the maximum size of an intersecting $k$-uniform family that is neither a subfamily of the Erdős-Ko-Rado family nor of the Hilton-Milner family is. For $k\ge 4$, this was solved (implicitly) in the same paper by Hilton-Milner in 1967. We give a different and simpler proof, based on the shifting method, which allows us to solve all cases $k\ge 3$ and characterize all extremal families achieving the extremal value.
Infinite weighted graphs with bounded resistance metric

We consider infinite weighted graphs $G$, i.e., sets of vertices $V$, and edges $E$ assumed countably infinite. An assignment of weights is a positive symmetric function $c$ on $E$ (the edge-set), conductance. From this, one naturally defines a reversible Markov process, and a corresponding Laplace operator acting on functions on $V$, voltage distributions. The harmonic functions are of special importance. We establish explicit boundary representations for the harmonic functions on $G$ of finite energy.We compute a resistance metric $d$ from a given conductance function. (The resistance distance $d(x,y)$ between two vertices $x$ and $y$ is the voltage drop from $x$ to $y$, which is induced by the given assignment of resistors when $1$ amp is inserted at the vertex $x$, and then extracted again at $y$. )We study the class of models where this resistance metric is bounded. We show that then the finite-energy functions form an algebra of ${1}/{2}$-Lipschitz-continuous and bounded functions on $V$, relative to the metric $d$. We further show that, in this case, the metric completion $M$ of $(V,d)$ is automatically compact, and that the vertex-set $V$ is open in $M$. We obtain a Poisson boundary-representation for the harmonic functions of finite energy, and an interpolation formula for every function on $V$ of finite energy. We further compare $M$ to other compactifications; e.g., to certain path-space models.
The realization problem for some wild monoids and the Atiyah problem

The Realization Problem for (von Neumann) regular rings asks what are the conical refinement monoids which can be obtained as the monoids of isomorphism classes of finitely generated projective modules over a regular ring. The analogous realization question for the larger class of exchange rings is also of interest. A refinement monoid is said to be wild if it cannot be expressed as a direct limit of finitely generated refinement monoids. In this paper, we consider the problem of realizing some concrete wild refinement monoids by regular rings and by exchange rings. The most interesting monoid we consider is the monoid M obtained by successive refinements of the identity x_0+y_0=x_0+z_0. This monoid is known to be realizable by the algebra A = K[F] of the monogenic free inverse monoid F, for any choice of field K, but A is not an exchange ring. We show that, for any uncountable field K, M is not realizable by a regular K-algebra, but that a suitable universal localization of A provides an exchange, non-regular, K-algebra realizing M. For any countable field F, we show that a skew version of the above construction gives a regular F-algebra realizing M. Finally, we develop some connections with the Atiyah Problem for the lamplighter group G (the wreath product of Z/2Z by Z). We prove that the algebra A can be naturally seen as a *-subalgebra of the group algebra KG, for any complex subfield K closed under conjugation, and we determine the structure of the *-regular closure of A in the regular ring of G. Using this, we show that the subgroup of R generated by the von Neumann dimensions of matrices over KG contains the rational field.
Knot contact homology, string topology, and the cord algebra

The conormal Lagrangian $L_K$ of a knot $K$ in $\mathbb{R}^3$ is the submanifold of the cotangent bundle $T^* \mathbb{R}^3$ consisting of covectors along $K$ that annihilate tangent vectors to $K$. By intersecting with the unit cotangent bundle $S^* \mathbb{R}^3$, one obtains the unit conormal $\Lambda_K$, and the Legendrian contact homology of $\Lambda_K$ is a knot invariant of $K$, known as knot contact homology. We define a version of string topology for strings in $\mathbb{R}^3 \cup L_K$ and prove that this is isomorphic in degree 0 to knot contact homology. The string topology perspective gives a topological derivation of the cord algebra (also isomorphic to degree 0 knot contact homology) and relates it to the knot group. Together with the isomorphism this gives a new proof that knot contact homology detects the unknot. Our techniques involve a detailed analysis of certain moduli spaces of holomorphic disks in $T^* \mathbb{R}^3$ with boundary on $\mathbb{R}^3 \cup L_K$.
La evaluación formativa en el marco de procesos de modelizaciones matemáticas

Este trabajo presenta características y resultados del proceso evaluativo desarrollado en el marco del seminario optativo denominado “Análisis y formulación de modelos matemáticos”, ofrecido por la cátedra de Cálculo para Ciencias Económicas de la Facultad de Ciencias Económicas (FCE) de la Universidad Nacional del Litoral (UNL). Se propone una estrategia metodológica formativa con énfasis en la evaluación, puesto que la evidencia acumulada en el área de enseñanza de las ciencias sugiere que la comprensión de ideas centrales en una disciplina, así como el desarrollo de prácticas científicas, demanda la participación activa de los estudiantes en la construcción de su propio conocimiento. Se elaboraron matrices de valoración considerando las dimensiones de análisis: presentación de informe, desarrollo matemático y desarrollo de habilidades, y se definieron tres coeficientes de valoración asociados a sus respectivas matrices. El coef_1 valoró el trabajo de equipo y la democratización del conocimiento, resultando satisfactorio; el coef_2 valoró la capacidad de resolución de un mini caso prefijado por los docentes de un modelo parametrizado, donde se notaron dificultades en el uso de parámetros en matemática; en tanto, el coef_3 valoró la destreza en el planteo y resolución de un problema de interés propio de cada equipo, así como la capacidad de vinculación interdisciplinaria, lo cual evidenció una desvinculación entre el problema propuesto y el análisis matemático realizado. Se aplicó a los estudiantes una encuesta semiestructurada con la finalidad de conocer si sus expectativas al inscribirse al seminario fueron alcanzadas. Según sus respuestas, esto fue cumplido satisfactoriamente.
An “Instantaneous” Response of a Human Visual System to Hue: An EEG-Based Study

(1) The article presents a new technique to interpret biomedical data (EEG) to assess cortical responses to continuous color/hue variations. We propose an alternative approach to analyze EEG activity evoked by visual stimulation. This approach may augment the traditional VEP analysis. (2) Considering ensembles of EEG epochs as multidimensional spatial vectors evolving over time (rather than collections of time-domain signals) and evaluating the similarity between such vectors across different EEG epochs may result in a more accurate detection of colors that evoke greater responses of the visual system. To demonstrate its suitability, the developed analysis technique was applied to the EEG data that we previously collected from 19 participants with normal color vision, while exposing them to stimuli of continuously varying hue. (3) Orange/yellow and dark blue/violet colors generally aroused better-pronounced cortical responses. The selection of EEG channels allowed for assessing the activity that predominantly originates from specific cortical regions. With such channel selection, the strongest response to the hue was observed from Parieto-Temporal region of the right hemisphere. The statistical test—Kruskal–Wallis one-way analysis of variance—indicates that the distance evaluated for spatial EEG vectors at different post-stimulus latencies generally originate from different statistical distributions with a probability exceeding 99.9% (α = 0.001).
Spectral Limitations of Quadrature Rules and Generalized Spherical Designs

We study manifolds $M$ equipped with a quadrature rule $$\begin{equation} \int_{M}{\phi(x)\,\mathrm{d}x} \simeq \sum_{i=1}^{n}{a_i \phi(x_i)}. \end{equation*}$$We show that $n$-point quadrature rules with nonnegative weights on a compact $d$-dimensional manifold cannot integrate more than at most the 1st $c_{d}n + o(n)$ Laplacian eigenfunctions exactly. The constants $c_d$ are explicitly computed and $c_2 = 4$. The result is new even on $\mathbb{S}^2$ where it generalizes results on spherical designs.
On the geometry of four qubit invariants

The geometry of four-qubit entanglement is investigated. We replace some of the polynomial invariants for four qubits introduced recently by new ones of direct geometrical meaning. It is shown that these invariants describe four points, six lines and four planes in complex projective space CP3. For the generic entanglement class of stochastic local operations and classical communication they take a very simple form related to the elementary symmetric polynomials in four complex variables. Moreover, suitable powers of their magnitudes are entanglement monotones that fit nicely into the geometric set of n-qubit ones related to Grassmannians of l-planes found recently. We also show that in terms of these invariants the hyperdeterminant of order 24 in the four-qubit amplitudes takes a more instructive form than the previously published expressions available in the literature. Finally, in order to understand two-, three- and four-qubit entanglement in geometric terms we propose a unified setting based on CP3 furnished with a fixed quadric.
Transcervical approach to oropharyngeal synovial sarcoma: a case report

Aim Synovial sarcomas (SS) are malignant tumors rarely arising in the head and neck region. In most of these cases, the tumor arises in the cervical or hypopharyngeal region, and extremely rarely in the oropharynx. Case report Herein, we report the case of a 22-year-old male oropharyngeal SS patient presented with breathing difficulty and dysphagia. The management plan included an emergency tracheostomy, followed shortly by transcervical resection of the oropharyngeal sarcoma tumor, the pectoralis major myocutaneous flap was used for pharyngeal reconstruction, followed by adjuvant radiotherapy resulting in more than 5 years disease-free survival. Conclusion SS arising in the oropharynx are extremely rare. Transcervical resection coupled with adjuvant radiotherapy warrants enhanced locoregional control in advanced oropharyngeal cases.
Multiplicity of solutions for resonant and non-resonant asymptotically linear elliptic problems

In this paper we prove the existence of a signed ground state solution (in the mountain pass level) for a class of asymptotically linear elliptic problems, even when the nonlinearity is just continuous in the second variable. A multiplicity result is also proved when $f$ is odd with respect to the second variable, in which a close relation between $\lim_{|t|\to \infty}f(x, t)/|t|$ and the number of solutions is stablished.
Minmax Hierarchies and Minimal Surfaces in Manifolds

We introduce a general scheme that permits to generate successive min-max problems for producing critical points of higher and higher indices to Palais-Smale Functionals in Banach manifolds equipped with Finsler structures. We call the resulting tree of minmax problems a minmax hierarchy. Using the viscosity approach to the minmax theory of minimal surfaces introduced by the author in a series of recent works, we explain how this scheme can be deformed for producing smooth minimal surfaces of strictly increasing area in arbitrary codimension. We implement this scheme to the case of the $3-$dimensional sphere. In particular we are giving a min-max characterization of the Clifford Torus and conjecture what are the next minimal surfaces to come in the $S^3$ hierarchy. Among other results we prove here the lower semi continuity of the Morse Index in the viscosity method below an area level.
Riesz bases for $L^2(\partial \Omega)$ and regularity for the Laplace equation in Lipschitz domains

In a paper from 1996, D. Jerison and C. Kenig among other results provided a $H^{1/2}$ regularity result for the Dirichlet problem for the Laplace equation in Lipschitz domains. In this article, we adopt a Hilbertian approach to construct two Riesz bases for $L^2(\partial \Omega),$ which will allow to find in a different way some of the results of D. Jerison and C. Kenig, and G. Savar\'{e} (1998) about the regularity issue of the Laplace equation.
Hybrid Si/SiC Switches: A Review of Control Objectives, Gate Driving Approaches and Packaging Solutions

Hybrid silicon (Si)/silicon carbide (SiC) switches are gaining increased attention for designing high-efficiency and high-power density energy conversion systems. They offer very good conduction and switching power loss performance compared to using only Si insulated gate bipolar transistor (IGBT) or SiC metal–oxide–semiconductor field effect transistor (MOSFET) devices as a result of combining the best properties of both devices. Several Si/SiC gate control strategies, gate driving approaches, and packaging considerations have been proposed in the literature. This article presents a comprehensive review and performance comparison of different Si/SiC gate control strategies, gate driver solutions, and packaging approaches that are already proposed in the literature. In addition, it aims to provide a general guideline for selecting the appropriate Si/SiC gate control approach that is suitable for different applications considering several Si/SiC switch design properties. It also aims to establish a general metrics for evaluating the performance of different Si/SiC gate driver solutions that are proposed in the literature in order to help the designer choose a suitable gate driver solution for different applications. Moreover, it highlights future research and development needs of hybrid Si/SiC switches in terms of gate control techniques, gate driver approaches, and packaging solutions in order to achieve further performance improvements and fully exploit their benefits.
On torsion anomalous intersections

A deep conjecture on torsion anomalous varieties states that if $V$ is a weak-transverse variety in an abelian variety, then the complement $V^{ta}$ of all $V$-torsion anomalous varieties is open and dense in $V$. We prove some cases of this conjecture. We show that the $V$-torsion anomalous varieties of relative codimension one are non-dense in any weak-transverse variety $V$ embedded in a product of elliptic curves with CM. We give explicit uniform bounds in the dependence on $V$. As an immediate consequence we prove the conjecture for $V$ of codimension two in a product of CM elliptic curves. We also point out some implications on the effective Mordell-Lang Conjecture.
Balleans, hyperballeans and ideals

A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or entourages of the diagonal in X × X) dened in such a way that B can be considered as the asymptotic counterpart of a uniform topological space. The aim of this paper is to study two concrete balleans dened by the ideals in the Boolean algebra of all subsets of X and their hyperballeans, with particular emphasis on their connectedness structure, more specically the number of their connected components.
A Ka-Band Low-EVM Subharmonically Injection-Locked FLL IQ Modulator Using Stacked-Boosting and Dual-Injection Technique

In this letter, a <inline-formula> <tex-math notation="LaTeX">$Ka$ </tex-math></inline-formula>-band low error-vector-magnitude (EVM) subharmonically injection-locked frequency-locked loop (SILFLL) in-phase and quadrature (IQ) modulator is proposed using 0.18-<inline-formula> <tex-math notation="LaTeX">$\mu \text{m}$ </tex-math></inline-formula> CMOS process. The proposed circuit consists of an SILFLL and four reflection-type modulators. A stacked-boosting technique is employed in the oscillation core to further extend the frequency up to 28 GHz, and a dual-injection technique is employed in the SILFLL to significantly widen the lock range. As the subharmonic number is 3, the measured phase noise at 1-MHz offset and jitter integrated from 1 kHz to 40 MHz are better than −120 dBc/Hz and 95 fs, respectively. Between 26.6 and 28.2 GHz, the proposed SILFLL IQ modulator features an EVM of within 8%, a phase error of 2°, and a magnitude error of 2% for various quadrature amplitude modulations (QAMs), and the modulation can be up to 64-QAM scheme. The work is suitable for a few advanced digital communications due to its high modulation quality.
Aberrant MAPK Signaling Offers Therapeutic Potential for Treatment of Ovarian Carcinoma

Abstract Ovarian cancer remains the most lethal gynecological malignancy worldwide due to lack of effective screening, vague early symptoms, poor description of biomarkers, and absence of effective treatment regimes. Epithelial ovarian carcinoma (EOC) is categorized into five distinct disease subtypes which collectively account for ~90% of ovarian carcinomas. Most women present at advanced stages contributing to a poor overall 5-year survival rate. Standard treatment for EOC is cytoreductive surgery and platinum-based chemotherapy; however, most patients suffer from recurrence and platinum-resistant disease, which highlights an urgent need for targeted therapy. The high frequency of molecular alterations affecting gain-of-function signaling through the RAS mitogen-activated protein kinase (MAPK) pathway in EOC has prompted pre-clinical and clinical efforts toward research into the effectiveness of MAPK pathway inhibition as a second-line treatment. The RAS/MAPK pathway is a highly conserved signal transduction cascade, often disrupted in cancer, that regulates tumorigenic phenotypes including cellular proliferation, survival, migration, apoptosis, and differentiation. Herein, the role of the MAPK pathway in EOC with emphasis on targetability of the pathway is described. Pre-clinical and clinical efforts to target MAPK signaling in EOC have identified several MAPK pathway inhibitors that offer efficacious potential for monotherapy and in combination with other compounds. Thus, inhibition of the RAS/MAPK pathway is emerging as a tractable strategy for treatment of ovarian cancer that may permit development of personalized therapy and improved prognosis for women challenged by this disease.
Repositioning Mifepristone as a Leukaemia Inhibitory Factor Receptor Antagonist for the Treatment of Pancreatic Adenocarcinoma

Pancreatic cancer is a leading cause of cancer mortality and is projected to become the second-most common cause of cancer mortality in the next decade. While gene-wide association studies and next generation sequencing analyses have identified molecular patterns and transcriptome profiles with prognostic relevance, therapeutic opportunities remain limited. Among the genes that are upregulated in pancreatic ductal adenocarcinomas (PDAC), the leukaemia inhibitory factor (LIF), a cytokine belonging to IL-6 family, has emerged as potential therapeutic candidate. LIF is aberrantly secreted by tumour cells and promotes tumour progression in pancreatic and other solid tumours through aberrant activation of the LIF receptor (LIFR) and downstream signalling that involves the JAK1/STAT3 pathway. Since there are no LIFR antagonists available for clinical use, we developed an in silico strategy to identify potential LIFR antagonists and drug repositioning with regard to LIFR antagonists. The results of these studies allowed the identification of mifepristone, a progesterone/glucocorticoid antagonist, clinically used in medical abortion, as a potent LIFR antagonist. Computational studies revealed that mifepristone binding partially overlapped the LIFR binding site. LIF and LIFR are expressed by human PDAC tissues and PDAC cell lines, including MIA-PaCa-2 and PANC-1 cells. Exposure of these cell lines to mifepristone reverses cell proliferation, migration and epithelial mesenchymal transition induced by LIF in a concentration-dependent manner. Mifepristone inhibits LIFR signalling and reverses STAT3 phosphorylation induced by LIF. Together, these data support the repositioning of mifepristone as a potential therapeutic agent in the treatment of PDAC.
Sigma Term Weighting Scheme for Sentiment Analysis

 Abstract — Large amounts of data on the web can provide valuable information. For example, product reviews help business owners measure customer satisfaction. Sentiment analysis classifies texts into two polarities: positive and negative. This paper examines movie reviews and tweets using a new term weighting scheme, called one-over-sigma (1/sigma), on benchmark datasets for sentiment classification. The proposed method aims to improve the performance of sentiment classification. The results show that 1/sigma is more accurate than the popular term weighting schemes. In order to verify if the entropy reflects the discriminating power of terms, we report a comparison of entropy values for different term weighting schemes.
Another New Foundation: A Theory with Combined Concepts from Set Theory, Type Theory and Leśniewski's Mereology

This paper introduces a new theory which encompasses concepts and ideas from set theory, type theory, and Le\'{s}niewski's mereology and describes its possibility as an alternative foundation for mathematics. In the introduction section I will introduce motives for development of the theory and some remarks on the methods of presentation. Axioms of the theory and their philosophical background and justification on the basis of intuitive view are discussed next. Discussed after are realizations of mathematical concepts such as $\mathbb{N}$, $\mathbb{Z}$, $\mathbb{Q}$, $\mathbb{R}$, $\mathbb{C}$, etc. Then this paper concludes with comparisons between the theory and ZFC and its mathematical limitations.