Miracle-dz/UniFAR-FTUs huggingface dataset:
Distinct and repeated distances on a surface and incidences between points and spheres

In this paper we show that the number of distinct distances determined by a set of $n$ points on a constant-degree two-dimensional algebraic variety $V$ (i.e., a surface) in $\mathbb R^3$ is at least $\Omega\left(n^{7/9}/{\rm polylog} \,n\right)$. This bound is significantly larger than the conjectured bound $\Omega(n^{2/3})$ for general point sets in $\mathbb R^3$. We also show that the number of unit distances determined by $n$ points on a surface $V$, as above, is $O(n^{4/3})$, a bound that matches the best known planar bound, and is worst-case tight in 3-space. This is in sharp contrast with the best known general bound $O(n^{3/2})$ for points in three dimensions. To prove these results, we establish an improved upper bound for the number of incidences between a set $P$ of $m$ points and a set $S$ of $n$ spheres, of arbitrary radii, in $\mathbb R^3$, provided that the points lie on an algebraic surface $V$ of constant degree, which does not have linear or spherical components. Specifically, the bound is $$ O\left( m^{2/3}n^{2/3} + m^{1/2}n^{7/8}\log^\beta(m^4/n) + m + n + \sum_{c} |P_{c}|\cdot |S_{c}| \right) , $$ where the constant of proportionality and the constant exponent $\beta$ depend on the degree of $V$, and where the sum ranges over all circles $c$ that are fully contained in $V$, so that, for each such $c$, $P_c = P\cap c$ and $S_c$ is the set of the spheres of $S$ that contain $c$. In addition, $\sum_{c} |P_{c}| = O(m)$ and $\sum_{c} |S_{c}| = O(n)$. This bound too improves upon earlier known bounds. These have been obtained for arbitrary point sets but only under severe restrictions about the spheres, which are dropped in our result. Another interesting application of our result is an incidence bound for arbitrary points and spheres in 3-space, where we improve and generalize the previous work of Apfelbaum and Sharir[AS].
The Importance of the Ising Model

Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used to describe real experiments, which do not have the symmetry properties, is one of the most fundamental open questions in both statistical mechanics and quantum field theory. The importance of the two-dimensional Ising model in a magnetic field is that it is the simplest system where this relationship may be concretely studied. We here review the advances made in this study, and concentrate on the magnetic susceptibility which has revealed an unexpected natural boundary phenomenon. When this is combined with the Fermionic representations of conformal characters, it is suggested that the scaling theory, which smoothly connects the lattice with the correlation length scale, may be incomplete for H � =0 . Subject Index: 010, 040
Involvement of Women in Adopting Climate Change Adaptation Practices in Cacao Farming in Côte d’Ivoire

The adverse effects of climate change are leading producers to adopt endogenous strategies. Nevertheless, the involvement of women in the adoption of adaptation practices was assessed in the localities of Abengourou, Gagnoa, Soubré and Vavoua. Interviews with cocoa farmers, 69 female and 288 male, show that drought (77.8%) is one of the most observed climatic factors by farmers in cocoa farms. In order to reduce the effects, 27% of women farmers preferred to set up nurseries close to water points and at home, compared to 15.2% of men. 73.7% Women leave the plants for 4 months before planting compared to 59.2% of men. In soil fertility management, 67.9% of women use leguminous plants as cover crops, compared to 52.8% of men. During the rainy season, they ferment the beans for 6 days (35% compared to 22% of men) and harvest the pods at least once a week (16% compared to 1% of men) in the absence of rain. Women are strongly involved in the adoption of practices at all stages of cocoa production. In terms of adaptation, it would be important that the practices identified be integrated into the training of women producers to enable them to be resilient.
Strong Stability Preserving Multistep Runge-Kutta Methods

High-order spatial discretizations with strong stability properties (such as monotonicity) are desirable for the solution of hyperbolic PDEs. Methods may be compared in terms of the strong stability preserving (SSP) time-step. We prove an upper bound on the SSP coefficient of explicit multistep Runge--Kutta methods of order two and above. Order conditions and monotonicity conditions for such methods are worked out in terms of the method coefficients. Numerical optimization is used to find optimized explicit methods of up to five steps, eight stages, and tenth order. These methods are tested on the advection and Buckley-Leverett equations, and the results for the observed total variation diminishing and positivity preserving time-step are presented.
Discovery Learning Assisted E-Learning to Improve Student Conceptual Understanding About Heat and Its Application

Synchronizing the concepts of heat and heat transfer explicitly on the competency of expertise in vocational schools still needs further research. This research focuses on the impact of discovery learning assisted by e-learning in improving Student Understanding about concept of heat, its transfer, and its application. Through the one-group, pretest-posttest design with 36 subjects of computer and network engineering students, Al Munawwariyyah Vocational School, this research was applied. The results showed an increase in conceptual understanding with n-gain values ​​of 0.79 (high) and a d-effect size of 3.01 (very high). This value indicates that discovery learning assisted by e-learning has a positive impact on increasing students' conceptual understanding from an average pretest of 39.9 to an average posttest of 84.1. Students' skills in troubleshooting CPU problems increase significantly after learning. Most students can explain the heat transfer by conduction, convection, and radiation that occurs on the CPU along with the impact and benefits of competency expertise.
Study on Crystallization Process of Li2O–Al2O3–SiO2 Glass-Ceramics Based on In Situ Analysis

In this paper, we used differential scanning calorimetry (DSC), high-temperature X-ray diffraction (HT-XRD), and confocal scanning laser microscopy (CSLM) to investigate the Li2O–Al2O3–SiO2 glass crystallization process. At 943 K, lithium disilicate (Li2Si2O5) phase crystals began to precipitate in the Li2O–Al2O3–SiO2 glass with a crystal size of 50–70 nm. At the temperature of 1009 K, petalite (LiAlSi4O10) crystals began to precipitate in the vitreous phase, forming composite spherical crystals of LiAlSi4O10 and Li2Si2O5 with size in the range of 90–130 nm. Furthermore, the Kissinger method and KAS method of the JMAK model were used to calculate the crystallization activation energy and the Avrami index “n”. It was found that the precipitation mechanism of the two kinds of crystals is whole crystallization; accordingly, the selection of crystallization heat treatment system was guided to determine the nucleation and crystallization temperature.
State Aid for Development of Manufacture of Agricultural Machinery: Economic and Statistical Aspect

The world practice of state support of agricultural machinery is studied. Features of dualistic agro-industrial policy of China are identified. It is substantiated that the subsidy policy for the purchase of agricultural machinery, which has been implemented by the Chinese government since 2004, has also had an extensive impact on the promotion and development of agricultural mechanization, development of agricultural machinery and improvement of economic results, scaling up of services for agricultural sector; activation of related industries: the development of companies that specialize in construction and road equipment, the production of engineering products for agricultural sector. The evolution of state support is shown: changes in the priorities of industry development and the number of subsidies for the purchase of equipment, the development of which is encouraged. It is established that the support of decision-making on the implementation of state support is provided by scientific institutions, relevant associations, information and analytical agencies. It is shown that the generated statistical databases allow to analyze the scale and structure of sales of machinery to farmers with state subsidies (by categories, manufacturers, regions), calculate China's agricultural machinery market sentiment index (AMI), among the components of which - Agricultural Machinery Subsidy Index. It is stated that on the initiative of the National Committee for Industrial Development a mechanism of partial compensation of the cost of machinery and equipment for agro-industrial complex, which has a certain level of localization of production in Ukraine, was launched in Ukraine in 2017. Summing up the results of the implementation of this mechanism for the national economy are presented. The necessity of expanding state support is substantiated: introduction of incentives for technological innovations of enterprises and partial compensation of interest on loans for the purchase of Ukrainian made agricultural machinery. Following the example of China, it is proposed to improve the mechanism of partial compensation by adjusting the upper limit of aid intensity in accordance with the cost of machinery and equipment for farmers and its innovation. It is substantiated that the lack of multifaceted monitoring of the implementation of the partial compensation mechanism makes it impossible to assess its consequences for machine builders, farmers and the economy as a whole (primarily in terms of the effects obtained). The introduction of statistical and information-analytical support for the implementation of the state aid mechanism in Ukraine will facilitate both timely control and management decisions-making on future support by the state, and the strategic business planning of farmers and machine builders.
Physico-chemical removal of heavy metals from contaminated water using recyclable montmorillonite cellulose nanocomposite

is development of modified clays as an adsorbent. The current work proposed to deal with the fabrication and application of a recyclable MMT cellulose nanocomposite for remediation of water contaminated by Cu (II) and Cd (II) ions. Abstract Most studies have focused on economic and efficient remediation of water polluted with toxic metals using adsorbents. However, very little attention is paid on the fate of the spent adsorbents. The present work aimed at fabricating a nanocomposite adsorbent by intercalating cellulose molecules into the interlayer spacing of sodic-montmorillonite clay. The adsorbent was thereafter characterized comprehensively by X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR), Scanning electron microscope (SEM) and surface area measurement by Brunauer-Emmett-Teller (BET) isotherm studies. Batch studies were carried out to determine the influence of adsorption parameters. The data obtained from batch experiments had highest agreement with Freundlich isotherm. The adsorption capacities (K f ) were 16.1 mg/g and 11.1 mg/g for the adsorption of Cu (II) and Cd (II) ions, respectively. Pseudo second order model gave the best fit with the experimental data. From thermodynamic studies, the negative values of Gibbs free energy (∆G ⁰ ) and enthalpy change (∆H ⁰ ) indicate that the adsorption process was spontaneous and exothermic, respectively. The negative values of ∆S ⁰ indicate that the adsorption process resulted into reduced randomness at the solid/liquid interface. Aqueous ammonia exhibited the best regeneration efficiency over HCl, EDTA and NaOH eluents. The results indicate that MMT cellulose nanocomposite material has a great potential for use in water remediation strategies.
STRUCTURE OF NUCLEAR C*-ALGEBRAS: FROM QUASIDIAGONALITY TO CLASSIFICATION AND BACK AGAIN

I give an overview of recent developments in the structure and classification theory of separable, simple, nuclear C*-algebras. I will in particular focus on the role of quasidiagonality and amenability for classification, and on the regularity conjecture and its interplay with internal and external approximation properties.
Best constants in rosenthal-Type inequalities and the Kruglov operator.

Let X be a symmetric Banach function space on [0, 1] with the Kruglov property, and let f = {f k } n k=1 , n ≥ 1 be an arbitrary sequence of independent random variables in X. This paper presents sharp estimates in the deterministic characterization of the quantities.
Current and Future Perspectives for Chimeric Antigen Receptor T Cells Development in Poland

Chimeric antigen receptor T (CAR-T) cells are genetically modified autologous T cells that have revolutionized the treatment of relapsing and refractory haematological malignancies. In this review we present molecular pathways involved in the activation of CAR-T cells, describe in details the structures of receptors and the biological activity of CAR-T cells currently approved for clinical practice in the European Union, and explain the functional differences between them. Finally, we present the potential for the development of CAR-T cells in Poland, as well as indicate the possible directions of future research in this area, including novel modifications and applications of CAR-T cells and CAR-natural killer (NK) cells.
All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory

We give a complete, self-contained, and mathematically rigorous proof that Euclidean Yang-Mills theories are perturbatively renormalisable, in the sense that all correlation functions of arbitrary composite local operators fulfil suitable Ward identities. Our proof treats rigorously both all ultraviolet and infrared problems of the theory and provides, in the end, detailed analytical bounds on the correlation functions of an arbitrary number of composite local operators. These bounds are formulated in terms of certain weighted spanning trees extending between the insertion points of these operators. Our proofs are obtained within the framework of the Wilson-Wegner-Polchinski-Wetterich renormalisation group flow equations, combined with estimation techniques based on tree structures. Compared with previous mathematical treatments of massless theories without local gauge invariance [R. Guida and Ch. Kopper, arXiv:1103.5692; J. Holland, S. Hollands, and Ch. Kopper, Commun. Math. Phys. 342 (2016) 385] our constructions require several technical advances; in particular, we need to fully control the BRST invariance of our correlation functions.
Groupoid Quantization of Loop Spaces

We review the various contexts in which quantized 2-plectic manifolds are expected to appear within closed string theory and M-theory. We then discuss how the quantization of a 2-plectic manifold can be reduced to ordinary quantization of its loop space, which is a symplectic manifold. We demonstrate how the latter can be quantized using groupoids. After reviewing the necessary background, we present the groupoid quantization of the loop space of R^3 in some detail.
Holographic baryons and instanton crystals

In a wide class of holographic models, like the one proposed by Sakai and Sugimoto, baryons can be approximated by instantons of non-Abelian gauge fields that live on the world-volume of flavor D-branes. In the leading order, those are just the Yang–Mills instantons, whose solutions can be constructed from the celebrated Atiyah–Drinfeld–Hitchin–Manin (ADHM) construction. This fact can be used to study various properties of baryons in the holographic limit. In particular, one can attempt to construct a holographic description of the cold dense nuclear matter phase of baryons. It can be argued that holographic baryons in such a regime are necessarily in a solid crystalline phase. In this review, we summarize the known results on the construction and phases of crystals of the holographic baryons.
Airway Smooth Muscle Cell Mitochondria Damage and Mitophagy in COPD via ERK1/2 MAPK

Chronic obstructive pulmonary disease (COPD) is characterized by irreversible deterioration of the airway wall. Cigarette smoking is the major trigger, and in vitro studies showed that cigarette smoke extract (CSE) induced mitophagy in airway epithelial cells via oxidative stress, but this mechanism was not studied in airway smooth muscle cells (ASMCs). Primary ASMCs isolated from COPD patients or non-disease donors were investigated for CSE-induced remodeling and mitochondria structure. Proteins were assessed by Western blots for remodeling: collagen type-I, α-smooth muscle actin (α-SMA) and fibronectin; autophagy: beclin-1, protein62 (p62), light chain (LC)3A/B; mitochondria activity: mitochondrially encoded cytochrome c oxidase II & -IV (MTCO2, MTCO4), peroxisome proliferator activated receptor gamma coactivator 1α (PGC-1α); lysosomes: early endosome antigen 1, lysosome activated membrane protein 1; and cell signaling: extracellular signal regulated kinase (ERK1/2). Lysotracker and Mitotracker were used to monitor mitochondria morphology and organelle co-localization. Compared with controls, untreated COPD ASMCs showed lower collagen type-I and α-SMA expressions, but increased fibronectin levels. CSE further downregulated collagen type-I and α-SMA expression, but upregulated fibronectin. CSE decreased PGC-1α, MTCO2, and MTCO4, but increased beclin-1, p62, and LC3. CSE upregulated mitophagy and lysosomes activity via ERK1/2 phosphorylation. In vitro, cigarette smoke induced the deterioration of ASMCs, which might explain the tissue loss and structural remodeling in COPD bronchi. The results suggest that preventing exceeded mitophagy in ASMCs might present a novel therapeutic target for COPD.
Purely unrectifiable metric spaces and perturbations of Lipschitz functions

We characterise purely $n$-unrectifiable subsets $S$ of a complete metric space $X$ with finite Hausdorff $n$-measure by studying arbitrarily small perturbations of elements of the set of all bounded 1-Lipschitz functions $f\colon X \to \mathbb R^m$ with respect to the supremum norm. In one such characterisation it is shown that, if $S$ has positive lower density almost everywhere, then the set of all $f$ with $\mathcal H^n(f(S))=0$ is residual. Conversely, if $E\subset X$ is $n$-rectifiable with $\mathcal H^n(E)>0$, the set of all $f$ with $\mathcal H^n(f(E))>0$ is residual. These results provide a replacement for the Besicovitch-Federer projection theorem in arbitrary metric spaces, which is known to be false outside of Euclidean spaces.
Quantitative homogenization of the disordered $\nabla \phi $ model

We study the $\nabla \phi$ model with uniformly convex Hamiltonian $\mathcal{H} (\phi) := \sum V(\nabla \phi)$ and prove a quantitative rate of convergence for the properly rescaled partition function as well as a quantitative rate of convergence for the field $\phi$ subject to affine boundary condition in the $L^2$ norms. One of our motivations is to develop a new toolbox for studying this problem that does not rely on the Helffer-Sjostrand representation. Instead, we make use of the variational formulation of the partition function, the notion of displacement convexity from the theory of optimal transport, and the recently developed theory of quantitative stochastic homogenization.
Power System Rotor Angle Stability Enhancement Using Lyapunov-Based Trajectory Tracking Controller and Model Reference Adaptive Control

It is vital that the synchronous generator rotor angle be kept stable to avoid disastrous consequences such as the loss of synchronism amongst generators within a power system network. Once it is unstable, the time that is taken to remedy this is advised to be 5–10 s for smaller power systems and 15–20 s for larger ones. The instability that is caused by poorly damped Low-Frequency Electromechanical Oscillations (LFEOs) may result in inter-area oscillations, where a group of generators in one area oscillates against those in another area, thus affecting the stability of the entire network. This paper explores two control architectures, namely, a nonlinear Lyapunov-based trajectory tracking controller and a Model Reference Adaptive Controller (MRAC) as options to enhance the stability of the rotor angle. The performance of each of these controllers was assessed under steady-state conditions, and then, the synchronous generator was subjected to Gaussian noise and an impulse. While the first one is aimed at emulating small variations in the system loads that are responsible for inter-area oscillations, the latter one is an attempt to explore their performance for transient stability.
Molecular Investigation of Some Beta-lactamase Genes by PCR and DNA Sequencing Techniques in clinical Escherichia coli

In this study, out of 50 isolates of some nosocomial infections from some Baghdad hospitals, only 13 (26%) were identified as Escherichia coli. Depending on selective media, morphological and biochemical tests the species was then confirmed by molecular methods. Later on antimicrobial resistance test was performed by the Kirby-Bauer method. The molecular characterization of blaTEM and blaCTX-M genes in different clinical isolates of E. coli was done through polymerase chain reaction (PCR) by utilizing special primers. These genes were positive to only 4 (30.7%) isolates. The sequence of nucleotides of positive genes was carried out for four isolates. The results showed that there was no variance in the nucleotide sequence between Iraqi isolates compared with the global isolates, and that they were 100% identical to many genera of Enterobacteriaceae. Finally, due to the indiscriminate use of antibiotics, these genes in human strains were likely the source of widespread drug resistance.
Assessing Inhibitory Control in the Real World Is Virtually Possible: A Virtual Reality Demonstration

Executive functions are the key ingredient for behaviour regulation. Among them, inhibitory control is one of the main exponents of executive functions, and in the last decades, it has received a good amount of attention thanks to the development of chronometric tasks associated with paradigms that allow exploring human behaviour when the inhibitory component is needed. Among the different paradigms typically used, the Simon and flanker tasks are probably the most popular ones. These have been subjected to modifications in order to assess inhibitory control from different perspectives (e.g., in different samples or in combination with different research techniques). However, its use has been relegated to classical presentation modalities within laboratory settings. The accessibility of virtual reality (VR) technology has opened new research avenues to investigate inhibition control with a high ecological validity while retaining tightly controlled lab conditions and good measurement accuracy. We present two cutting-edge modifications of the standard Simon and flanker tasks that have been adapted to real-world settings using VR and human-like avatars as target stimuli. Our findings show that virtual reality is a credible tool for testing inhibitory control with a high degree of transferability and generalizability to the real world.