Miracle-dz/UniFAR-FTUs huggingface dataset:
Multipurpose FCS Model Predictive Control of VSC-Based Microgrids for Islanded and Grid-Connected Operation Modes

This article presents an enhanced control strategy for renewable energy resources connected to the grid through voltage-sourced converters (VSCs) in microgrids. The proposed scheme contains a voltage control loop with the minimum inverter switching, a power-sharing controller with the minimum inverter switching, a negative-sequence current controller, and a loop to identify the control system operation mode. All the controllers are designed using the multipurpose finite control set-model predictive control (FCS-MPC) strategy. Since these controllers use the dynamic current and VSC voltage, they can be applied in grid-connected and island operation modes and transferred between them. The method uses voltage–frequency control instead of power control for VSCs. One inverter controls voltage, and the other controls current. The conventional FCS-MPC is enhanced to reduce the computation power by eightfold. This improvement is significant because the maximum switching frequency is limited in practical implementations. Also, the superiority of the proposed multipurpose control scheme is proved theoretically. Simulation is implemented using MATLAB software and compared with methods in the literature. The simulation demonstrates that the presented control strategy is efficient, authentic, and compatible. The proposed method is also tested and validated in hardware experiments.
Epigenome-Wide Association Study in Peripheral Tissues Highlights DNA Methylation Profiles Associated with Episodic Memory Performance in Humans

The decline in episodic memory (EM) performance is a hallmark of cognitive aging and an early clinical sign in Alzheimer’s disease (AD). In this study, we conducted an epigenome-wide association study (EWAS) using DNA methylation (DNAm) profiles from buccal and blood samples for cross-sectional (n = 1019) and longitudinal changes in EM performance (n = 626; average follow-up time 5.4 years) collected under the auspices of the Lifebrain consortium project. The mean age of participants with cross-sectional data was 69 ± 11 years (30–90 years), with 50% being females. We identified 21 loci showing suggestive evidence of association (p < 1 × 10−5) with either or both EM phenotypes. Among these were SNCA, SEPW1 (both cross-sectional EM), ITPK1 (longitudinal EM), and APBA2 (both EM traits), which have been linked to AD or Parkinson’s disease (PD) in previous work. While the EM phenotypes were nominally significantly (p < 0.05) associated with poly-epigenetic scores (PESs) using EWASs on general cognitive function, none remained significant after correction for multiple testing. Likewise, estimating the degree of “epigenetic age acceleration” did not reveal significant associations with either of the two tested EM phenotypes. In summary, our study highlights several interesting candidate loci in which differential DNAm patterns in peripheral tissue are associated with EM performance in humans.
Financial literacy and SME loan repayments in South Africa during the COVID-19 era

Small and medium-sized enterprises (SMEs) are the primary victims of the COVID-19 outbreak because they lack adequate resources and are poorly prepared for such interruptions. For SMEs to expand, they need financial assistance such as loans and advances from financial service providers. However, they struggle to repay these loans and advances because they are small in size and do not make large turnovers, and owners lack adequate financial literacy. This study aims to investigate the relationship between financial literacy and loan repayment of SMEs. The study followed a positivist paradigm, and a quantitative approach was employed. A total of 110 self-completed Likert questionnaires were distributed, only 107 were filled correctly and analyzed using SPSS. The results from Pearson’s correlation coefficient showed a strong and significant relationship between financial literacy and SME loan repayments at r = 0.324, P &lt; 0.0005. Regression analysis showed a significant linear relationship between financial literacy and SME loans repayments, F (1.152) = 17.806; P &lt; 0.0005. P &lt; 0.0005 is less than the independent variable (SME loans repayments), B = 0.324, P &lt; 0.0005. The results imply that if SME owners are well-versed in finance, they will be capable of repaying outstanding loans and advances timely.
Automorphism Groups of Compact Complex Surfaces

We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such a surface $X$ is always Jordan, and the birational automorphism group is Jordan unless $X$ is birational to a product of an elliptic and a rational curve.
Biderivations of finite-dimensional complex simple Lie algebras

In this paper, we prove that a biderivation of a finite-dimensional complex simple Lie algebra without the restriction of being skewsymmetric is an inner biderivation. As an application, the biderivation of a general linear Lie algebra is presented. In particular, we find a class of a non-inner and non-skewsymmetric biderivations. Furthermore, we also obtain the forms of the linear commuting maps on the finite-dimensional complex simple Lie algebra or general linear Lie algebra.
Contact structures, deformations and taut foliations

Using deformations of foliations to contact structures as well as rigidity properties of Anosov foliations we provide infinite families of examples which show that the space of taut foliations in a given homotopy class of plane fields is in general not path connected. Similar methods also show that the space of representations of the fundamental group of a hyperbolic surface to the group of smooth diffeomorphisms of the circle with fixed Euler class is in general not path connected. As an important step along the way we resolve the question of which universally tight contact structures on Seifert fibered spaces are deformations of taut or Reebless foliations when the genus of the base is positive or the twisting number of the contact structure in the sense of Giroux is non-negative.
Determinants of Hedging Decisions in State-Owned and Private Manufacturing Firms on the IDX

The purpose of this study is to examine the determinants of hedging decisions in state-owned and private manufacturing firms on the IDX. Based on the previous research from Mediana & Muharam (2016), several determinant factors of hedging decisions were identified, namely liquidity, leverage, firm size, profitability and public ownership. The analytical method used is logistic regression analysis using a sample of 175 state-owned and private manufacturing firms from 2018-2020. The results of the analysis show that only liquidity and firm size have a significant influence on hedging decisions, which are negative and positive, respectively. The implication that can be taken is that when the firm makes a hedging decision, the firm needs to reduce liquidity or invest in working capital. On the other hand the firm needs to increase firm size through its fixed asset investment activities. Result of this study supports the optimal hedge ratio theory of Carter (2003).
ALGEBRAIC AND NORI FUNDAMENTAL GERBES

In this paper we extend the generalized algebraic fundamental group constructed in Esnault and Hogadi, (Trans. Amer. Math. Soc. 364(5) (2012), 2429–2442) to general fibered categories using the language of gerbes. As an application we obtain a Tannakian interpretation for the Nori fundamental gerbe defined in Borne and Vistoli (J. Algebraic Geom. (2014), S1056–3911, 00638-X) for nonsmooth non-pseudo-proper algebraic stacks.
A Packaged Multiplexed Fluorescent Biomolecular Sensor Array and Ultralow-Power Wireless Interface in CMOS for Ingestible Electronic Applications

Ingestible electronics capable of laboratory quality biomolecular analysis occupying pill-sized volume, operating at sub-mW with a robust wireless interface can transform medical diagnostics and personalized healthcare. Miniaturization of complex biomolecular systems in such a volume is extremely challenging, including a wireless interface that is capable of robust communication through inches of tissue. This article presents for the first time a fully packaged biosensor system with transmitter (Tx)/receiver (Rx) antennas coupled to a single CMOS chip that integrates a low-power wireless interface and a 15-pixel fluorescence biosensor array with on-chip nanoplasmonic optical filters. The IC, operating across multiple industrial, scientific, and medical (ISM)/medical implant communication system (MICS) bands, employs pulse-pause-encoded ASK/OOK modulation, and achieves reception energy efficiency of 28 pJ/bit at 7 Mb/s and −58 dBm of sensitivity with $196 \mu \text{W}$ of dc power. The entire biocompatible package is miniaturized to a size of 1.2 $\times $ 2.5 cm2. To the best of the authors’ knowledge, this work demonstrates for the first time a packaged bio-pill with in situ biomolecular sensing and quantification with pM sensitivity in CMOS ICs that also encompasses wireless transmission capability through inches of tissue at state-of-the-art energy efficiency.
Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations

We present a rigorous convergence result for the smooth solutions to a singular semilinear hyperbolic approximation, a vector BGK model, to the solutions to the incompressible Navier-Stokes equations in Sobolev spaces. Our proof is based on the use of a constant right symmetrizer, weighted with respect to the parameter of the singular pertubation system. This symmetrizer provides a conservative-dissipative form for the system and this allow us to perform uniform energy estimates and to get the convergence by compactness.
A Course in Interacting Particle Systems

These lecture notes give an introduction to the theory of interacting particle systems. The main subjects are the construction using generators and graphical representations, the mean field limit, stochastic order, duality, and the relation to oriented percolation. An attempt is made to give a large number of examples beyond the classical voter, contact and Ising processes and to illustrate these based on numerical simulations.
Arithmetic ampleness and an arithmetic Bertini theorem

Let $\mathcal X$ be a projective arithmetic variety of dimension at least $2$. If $\overline{\mathcal L}$ is an ample hermitian line bundle on $\mathcal X$, we prove that the proportion of those effective sections of $\overline{\mathcal L}^{\otimes n}$ that define an irreducible divisor on $\mathcal X$ tends to $1$ as $n$ tends to $\infty$. We prove variants of this statement for schemes mapping to such an $\mathcal X$. On the way to these results, we discuss some general properties of arithmetic ampleness, including restriction theorems, and upper bounds for the number of effective sections of hermitian line bundles on arithmetic varieties.
Price inequalities and Betti number growth on manifolds without conjugate points

We derive Price inequalities for harmonic forms on manifolds without conjugate points and with a negative Ricci upper bound. The techniques employed in the proof work particularly well for manifolds of non-positive sectional curvature, and in this case we prove a strengthened Price inequality. We employ these inequalities to study the asymptotic behavior of the Betti numbers of coverings of Riemannian manifolds without conjugate points. Finally, we give a vanishing result for $L^{2}$-Betti numbers of closed manifolds without conjugate points.
Normal forms and Misiurewicz renormalization for dissipative surface diffeomorphisms

We define a hyperbolic renormalizations suitable for maps of small determinant, with uniform bounds for large periods. The techniques involve an improvement of the celebrated Palis-Takens renormalization and normal forms (fibered linearizations). These techniques are useful to study the dynamics of H\'enon like maps and the geometry of their parameter space.
Torelli problem for Calabi–Yau threefolds with GLSM description

We construct a gauged linear sigma model with two non-birational K\"alher phases which we prove to be derived equivalent, $\mathbb{L}$-equivalent, deformation equivalent and Hodge equivalent. This provides a new counterexample to the birational Torelli problem which admits a simple GLSM interpretation.
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows

We consider a discretization of Caputo derivatives resulted from deconvolving a scheme for the corresponding Volterra integral. Properties of this discretization, including signs of the coefficients, comparison principles, and stability of the corresponding implicit schemes, are proved by its linkage to Volterra integrals with completely monotone kernels. We then apply the backward scheme corresponding to this discretization to two time fractional dissipative problems, and these implicit schemes are helpful for the analysis of the corresponding problems. In particular, we show that the overdamped generalized Langevin equation with fractional noise has a unique limiting measure for strongly convex potentials and establish the convergence of numerical solutions to the strong solutions of time fractional gradient flows. The proposed scheme and schemes derived using the same philosophy can be useful for many other applications as well.
The logarithmic Sarnak conjecture for ergodic weights

The M\"obius disjointness conjecture of Sarnak states that the M\"obius function does not correlate with any bounded sequence of complex numbers arising from a topological dynamical system with zero topological entropy. We verify the logarithmically averaged variant of this conjecture for a large class of systems, which includes all uniquely ergodic systems with zero entropy. One consequence of our results is that the Liouville function has super-linear block growth. Our proof uses a disjointness argument and the key ingredient is a structural result for measure preserving systems naturally associated with the M\"obius and the Liouville function. We prove that such systems have no irrational spectrum and their building blocks are infinite-step nilsystems and Bernoulli systems. To establish this structural result we make a connection with a problem of purely ergodic nature via some identities recently obtained by Tao. In addition to an ergodic structural result of Host and Kra, our analysis is guided by the notion of strong stationarity which was introduced by Furstenberg and Katznelson in the early 90's and naturally plays a central role in the structural analysis of measure preserving systems associated with multiplicative functions.
An Efficient Task Offloading Approach Based on Multi-Objective Evolutionary Algorithm in Cloud-Edge Collaborative Environment

Cloud-edge collaboration can overcome the shortcomings of high latency of the centralized model of cloud computing and insufficient computing power of edge computing, and better meet the needs of various application scenarios, which has become a research hotspot in recent years. The 6 G network is driven by the deep integration of network and computing, which will further accelerate the collaborative and integrated development of the cloud datacenter, edge servers, end devices, and application. This paper considers the combination of edge computing and cloud computing, and studies the problem of task offloading with the optimization objectives of energy consumption, delay, and multi-node load balancing under an “End-Edge-Cloud” collaborative architecture for 6G network. We regard the problem of task offloading as a multi-objective optimization problem. By improving AR-MOEA, a task offloading algorithm based on the “End-Edge-Cloud” architecture (TO-EEC) is proposed. It is verified through experiments that TO-EEC has a fast convergence speed. Compared with other similar offloading algorithms, TO-EEC has significant optimization effects on energy consumption, delay and multi-node load variance under multiple constraints.
Random coalescing geodesics in first-passage percolation

We continue the study of infinite geodesics in planar first-passage percolation, pioneered by Newman in the mid 1990s. Building on more recent work of Hoffman, and Damron and Hanson, we develop an ergodic theory for infinite geodesics via the study of what we shall call `random coalescing geodesics'. Random coalescing geodesics have a range of nice asymptotic properties, such as asymptotic directions and linear Busemann functions. We show that random coalescing geodesics are (in some sense) dense in the space of geodesics. This allows us to extrapolate properties from random coalescing geodesics to obtain statements on all infinite geodesics. As an application of this theory we solve the `midpoint problem' of Benjamini, Kalai and Schramm and address a question of Furstenberg on the existence of bigeodesics.
Conformal Walker metrics and linear Fefferman-Graham equations

The conformal Fefferman-Graham ambient metric construction is one of the most fundamental constructions in conformal geometry. It embeds a manifold with a conformal structure into a pseudo-Riemannian manifold whose Ricci tensor vanishes up to a certain order along the original manifold. Despite the general existence result of such ambient metrics by Fefferman and Graham, not many examples of conformal structures with Ricci-flat ambient metrics are known. Motivated by previous examples, for which the Fefferman-Graham equations for the ambient metric to be Ricci-flat reduce to a system of linear PDEs, in the present article we develop a method to find ambient metrics for conformal classes of metrics with two-step nilpotent Schouten tensor. Using this method, for metrics for which the image of the Schouten tensor is invariant under parallel transport, i.e., certain types of Walker metrics, we obtain explicit ambient metrics. This includes certain left-invariant Walker metrics as well as pp-waves.
Irreducible quantum group modules with finite dimensional weight spaces. II

We classify the simple quantum group modules with finite dimensional weight spaces when the quantum parameter $q$ is transcendental and the Lie algebra is not of type $G_2$. This is part $2$ of the story. The first part being Irreducible quantum group modules with finite dimensional weight spaces. I (arXiv:1504.07042). In that paper the classification is reduced to the classification of torsion free simple modules. In this paper we follow the procedures used by O. Mathieu to reduce the classification to the classification of infinite dimensional admissible simple highest weight modules. We then classify the infinite dimensional admissible simple highest weight modules and show among other things that they only exist for types $A$ and $C$. Finally we complete the classification of simple torsion free modules for types $A$ and $C$ completing the classification of the simple torsion free modules.
Sex-Related Differences in Sitagliptin Treatment in Type 2 Diabetes: Results from the PROLOGUE Trial

Background At present, whether sitagliptin has sex-related differences in effect on atherosclerosis in type 2 diabetes mellitus (T2DM) patients is unknown. The purpose of this study was to investigate whether there is sex-related difference in the effect of sitagliptin on atherosclerosis in T2DM patients. Material/Methods In the PROLOGUE trial, 222 patients were allocated to the sitagliptin group and 220 patients were allocated to the conventional group. Carotid artery intima-media thickness (IMT) was assessed at baseline, 12 months, and 24 months. Results In male patients, sitagliptin significantly reduced the mean IMT (0.84±0.41 mm vs 1.02±0.67 mm, P=0.013) and the maximum IMT (1.14±0.59 mm vs 1.39±0.88 mm, P=0.016) in the right internal carotid arteries (ICA) compared to the conventional group at 12 months. Similarly, sitagliptin significantly reduced the maximum IMT (1.09±0.52 mm vs 1.28±0.77 mm, P=0.049) in the right ICA compared to the conventional group at 24 months, but no difference was found in the mean IMT in the right ICA between groups at 24 months. In female patients, sitagliptin significantly reduced the mean IMT (1.01±0.47 mm vs 1.23±0.51 mm, P=0.049) and the maximum IMT (1.39±0.65 mm vs 1.71±0.77 mm, P=0.042) in the right bulb compared to the conventional group at 12 months. However, the group differences were not observed in mean IMT and maximum IMT at 24 months. Conclusions Our results suggest that sitagliptin slows the progression of right carotid IMT in male patients. However, more research is needed to validate this finding in female patients.
Comparative Preclinical Evaluation of Peptide-Based Chelators for the Labeling of DARPin G3 with 99mTc for Radionuclide Imaging of HER2 Expression in Cancer

Non-invasive radionuclide imaging of human epidermal growth factor receptor type 2 (HER2) expression in breast, gastroesophageal, and ovarian cancers may stratify patients for treatment using HER2-targeted therapeutics. Designed ankyrin repeat proteins (DARPins) are a promising type of targeting probe for radionuclide imaging. In clinical studies, the DARPin [99mTc]Tc-(HE)3-G3 labeled using a peptide-based chelator His-Glu-His-Glu-His-Glu ((HE)3), provided clear imaging of HER2 expressing breast cancer 2–4 h after injection. The goal of this study was to evaluate if the use of cysteine-containing peptide-based chelators Glu-Glu-Glu-Cys (E3C), Gly-Gly-Gly-Cys (G3C), and Gly-Gly-Gly-Ser-Cys connected via a (Gly-Gly-Gly-Ser)3-linker (designated as G3-(G3S)3C) would further improve the contrast of imaging using 99mTc-labeled derivatives of G3. The labeling of the new variants of G3 provided a radiochemical yield of over 95%. Labeled G3 variants bound specifically to human HER2-expressing cancer cell lines with affinities in the range of 1.9–5 nM. Biodistribution of [99mTc]Tc-G3-G3C, [99mTc]Tc-G3-(G3S)3C, and [99mTc]Tc-G3-E3C in mice was compared with the biodistribution of [99mTc]Tc-(HE)3-G3. It was found that the novel variants provide specific accumulation in HER2-expressing human xenografts and enable discrimination between tumors with high and low HER2 expression. However, [99mTc]Tc-(HE)3-G3 provided better contrast between tumors and the most frequent metastatic sites of HER2-expressing cancers and is therefore more suitable for clinical applications.
Monodromy dependence and connection formulae for isomonodromic tau functions

We discuss an extension of the Jimbo–Miwa–Ueno differential 1-form to a form closed on the full space of extended monodromy data of systems of linear ordinary differential equations with rational coefficients. This extension is based on the results of M. Bertola, generalizing a previous construction by B. Malgrange. We show how this 1-form can be used to solve a long-standing problem of evaluation of the connection formulae for the isomonodromic tau functions which would include an explicit computation of the relevant constant factors. We explain how this scheme works for Fuchsian systems and, in particular, calculate the connection constant for the generic Painleve VI tau function. The result proves the conjectural formula for this constant proposed by Iorgov, Lisovyy, and Tykhyy. We also apply the method to non-Fuchsian systems and evaluate constant factors in the asymptotics of the Painleve II tau function.
On blowup solutions to the focusing $L^2$-supercritical nonlinear fractional Schr\"odinger equation

In this paper we study dynamical properties of blowup solutions to the focusing L-supercritical nonlinear fractional Schrödinger equation i∂t − (−∆) u = −|u|u, u(0) = u0, on [0, ∞) × R , where d ≥ 2, d 2d−1 ≤ s < 1, 4s d < α < 4s d−2s and u0 ∈ Ḣc ∩ Ḣ is radial with the critical Sobolev exponent sc. To this end, we establish a compactness lemma related to the equation by means of the profile decomposition for bounded sequences in Ḣc ∩ Ḣ. As a result, we obtain the Ḣc -concentration and the limiting profile with critical Ḣc -norm of blowup solutions with bounded Ḣc -norm.