Miracle-dz/UniFAR-FTUs huggingface dataset:
Axial symmetry for fractional capillarity droplets

Abstract A classical result of Wente, motivated by the study of sessile capillarity droplets, demonstrates the axial symmetry of every hypersurface which meets a hyperplane at a constant angle and has mean curvature dependent only on the distance from that hyperplane. An analogous result is proven here for the fractional mean curvature operator.
The index formula for families of Dirac type operators on pseudomanifolds

We study families of Dirac-type operators, with compatible perturbations, associated to wedge metrics on stratified spaces. We define a closed domain and, under an assumption of invertible boundary families, prove that the operators are self-adjoint and Fredholm with compact resolvents and trace-class heat kernels. We establish a formula for the Chern character of their index.
Weber’s formula for the bitangents of a smooth plane quartic

In a section of his 1876 treatise Theorie der Abel'schen Functionen vom Geschlecht 3 Weber proved a formula that expresses the bitangents of a non-singular plane quartic in terms of Riemann theta constants (Thetanullwerte). The present note is devoted to a modern presentation of Weber's formula. In the end a connection with the universal bitangent matrix is also displayed.
Grothendieck rings for Lie superalgebras and
the Duflo–Serganova functor

We show that the Duflo-Serganova functor on the category of finite-dimensional modules over a finite-dimensional contragredient Lie superalgebra induces a ring homomorphism on a natural quotient of the Grothendieck ring, which is isomorphic to the ring of characters. We realize this homomorphism as a certain evaluation of functions related to the supersymmetry property. We use this realization to describe the kernel and image of the homomorphism induced by the Duflo-Serganova functor.
Which inflation targeters respond to exchange rate movements? Evidence from emerging market economies

ABSTRACT There is a significant difference between de facto and de jure regimes in terms of exchange rates, especially in emerging market economies. A simple open economy model is used to test the empirical plausibility of a managed exchange rate system in which the monetary authority responds to exchange rate movements with foreign exchange intervention as an additional goal of monetary policy. This study demonstrates that this system fits the data better than a float-system specification. In addition, it is found that the authorities in Asian countries are more likely to intervene in the foreign exchange market with a higher degree of concern regarding exchange rate movements. The study empirically confirms that all emerging market inflation targeters have employed a de facto managed exchange rate system while adopting a de jure float system.
On Topologies on the Group $(\Z_p)^{\N}$

It is proved that, on any Abelian group of infinite cardinality ${\bf m}$, there exist precisely $2^{2^{\bf m}}$ nonequivalent bounded Hausdorff group topologies. Under the continuum hypothesis, the number of nonequivalent compact and locally compact Hausdorff group topologies on the group $(\Z_p)^{\N}$ is determined.
Random cliques in random graphs

We show that for each $r\ge 4$, in a density range extending up to, and slightly beyond, the threshold for a $K_r$-factor, the copies of $K_r$ in the random graph $G(n,p)$ are randomly distributed, in the (one-sided) sense that the hypergraph that they form contains a copy of a binomial random hypergraph with almost exactly the right density. Thus, an asymptotically sharp bound for the threshold in Shamir's hypergraph matching problem -- recently announced by Jeff Kahn -- implies a corresponding bound for $K_r$-factors in $G(n,p)$. We also prove a generalization replacing $K_r$ by certain other graphs $F$, as well as a slightly weaker result for $r=3$.
COMPUTATIONAL STUDY ON THE FISH-LIKE UNDERWATER ROBOT WITH TWO UNDULATING SIDE FINS FOR VARIOUS ASPECT RATIOS, FIN ANGLES AND FREQUENCIES

The undulating fin propulsion system has been studied by many researchers including authors’ group as a kind of bio-inspired propulsion system. In this study, the swimming motion of a Fish-like body with two undulating side fins similar to a Stingray and a Cuttlefish was investigated through flow computation around the body. In CFD technique, the Finite Analytic Method for space discretization and Euler implicit scheme for time discretization were used along with the PISO algorithm for velocity pressure coupling. A body-fitted moving grid was generated numerically using the Poisson equation at each time step. The features of the flow field and hydrodynamic forces acting on the body and fin were discussed based on the computed results. A simple relationship among the fin’s principle dimensions was established. To investigate this relationship, the numerical computation was conducted for various aspect ratios, fin angles and frequencies. The relationship was examined base on the distribution of pressure difference between upper and lower surface and the thrust force distribution. Finally, the computed fin open characteristics was compared with the experimental results of the authors’ previous studies.
Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants

The subject of this paper is a natural one-parametric family of Hilbert spaces Vα and representations interpolating L on a Riemannian noncompact symmetric space G/K and L on the dual Riemannian compact symmetric space Gcomp/K. The spaces Vα consist of holomorphic functions on some symmetric space G̃/K̃ ⊃ G/K, the limit of Vα as α → +∞ is L(G/K), and the limit of Vα as α tends to −∞ taking integer values is L(Gcomp/K). Even the case in which G/K is the Lobachevskii plane U(1, 1)/U(1) × U(1) and Gcomp/K is the two-dimensional sphere U(2)/U(1)×U(1), is nontrivial and is still not satisfactory clear today (see [57]). More formally, we consider the problem of the restriction of a unitary highest weight representation of a semisimple group G̃ to a symmetric subgroup (see 4.7 below). This formulation is short and simple but it does not explain why this restriction problem differs from a nondenumerable collection of other restriction problems. The objects of this paper first appeared in the short note of Berezin [4] in 1978. Berezin perished two years later and a complete text of his work never was published. For the second time, these objects occurred in a joint work of G.I. Olshanskii and author, but it was published only partially in two short notes [48] and [62]. As a result, this problem was ”lost” and it became visible only in 1994-95 in [72] and [59]. Some other references in the last 5 years are [11], [29], [51]–[57], [60], [64], [79] (these papers can also be the source for many other references). The present paper has three purposes. 1) We intend to survey phenomena arising in the analysis of the Berezin kernels. We consider a special case G = U(p, q)
Wind accretion in symbiotic X-ray binaries

K. Postnov ∗a, N. Shakura a, A. González-Galán b, E. Kuulkers c, P. Kretschmar c, S. Larsson d, M.H. Finger e, f , A. Kochetkova a, G. Lüg and L. Yungelson h aSternberg Astronomical Institute, 13, Universitetskij pr . , 119992 Moscow, Russia b Departamento de Física, Ingeniería de Sistemas y Teoría de l S ñal,Universidad de Alicante, Apdo. 99, 03080 Alicante, Spain c European Space Astronomy Centre (ESAC), P.O. Box 78, 28691, Villanueva de la Cañada, Spain d Department of Astronomy, Stockholm University, SE-106 91 S tockholm, Sweden e National Space Science and Technology Center, 320 Sparkman Drive, Huntsville, AL 35805, USA f Universities Space Research Association, 6767 Old Madison Pike, Suite 450, Huntsville, AL 35806, USA g School of Physics, Xinjiang University, Urumqi, 830046 Chi na h Institute of Astronomy RAS, Moscow, 48 Pyatnitskaya Str. , M oscow, 119017, Russia E-mail: kpostnov@gmail.com,nikolai.shakura@gmail.com, anagonzalez@ua.es,Erik.Kuulkers@sciops.esa.int Peter.Kretschmar@esa.int,stefan@astro.su. se,mark.finger@nasa.gov, sunny@sai.msu. ru, guolianglv@sina.com,lry@inasan.ru
On the consistency of magnetic field measurements of Ap stars: lessons learned from the FORS1 archive

Context. The ESO archive of FORS1 spectropolarimetric observations may be used to create a homogeneous database of magnetic field measurements. However, no systematic comparison of FORS field measurements to those obtained with other instruments has been undertaken so far. Aims. We exploit the FORS archive of circular spectropolarimetric data to examine in a general way how reliable and accurate field detections obtained with FORS are. Methods. We examine the observations of Ap and Bp stars, on the grounds that almost all of the unambiguous detections of magnetic fields in the FORS1 archive are in these kinds of stars. We assess the overall quality of the FORS1 magnetic data by examining the consistency of field detections with what is known from previous measurements obtained with other instruments, and we look at patterns of internal consistency. Results. FORS1 magnetic measurements are fully consistent with those made with other instruments, and the internal consistency of the data is excellent. However, it is important to recognise that each choice of grism and wavelength window constitutes a distinct instrumental measuring system, and that simultaneous field measurements in different instrumental systems may produce field strength values that differ up to 20%, or more. Furthermore, we found that field measurements using hydrogen lines only yield results that meaningfully reflect the field strength as sampled specifically by lines of hydrogen for stars with effective temperatures above about 9000 K. Conclusions. In general the magnetic field measurements of Ap and Bp stars obtained with FORS1 are of excellent quality, accuracy and precision, and FORS1 provides an extremely useful example that offers valuable lessons for field measurements with other low-resolution Cassegrain spectropolarimeters.
Normal Functions and the Geometry of Moduli Spaces of Curves

In this paper normal functions (in the sense of Griffiths) are used to solve and refine geometric questions about moduli spaces of curves. The first application is to a problem posed by Eliashberg: compute the class in the cohomology of M_{g,n}^c of the pullback of the zero section of the universal jacobian along the section that takes [C;x_1,. ,x_n] to Sum d_j x_j in Jac (C), where d_1 + . + d_n = 0. The second application is to slope inequalities of the type discovered by Moriwaki. There is also a discussion of height jumping and its relevance to slope inequalilties.
Nonlinear Choquard equations involving nonlocal operators

In this paper, we study nonlinear Choquard equations \begin{equation}\label{eq 1a1-} (-\Delta+id)^{\frac{1}{2}}u=(I_\alpha*{|u|^p})|u|^{p-2}u\ \ {\rm in} \ \ \mathbb{R}^N, \ \ \ u\in H^{\frac{1}{2}}(\mathbb{R}^N), \end{equation} where $(-\Delta+id)^\frac{1}{2}$ is a nonlocal operator, $p>0$, $N\geq2$ and $I_\alpha$ is the Riesz potential with order $\alpha\in(0,N)$. We show that there is a ground state solution to the above problem if $\frac{N+\alpha}{N}<p<\frac{N+\alpha}{N-1}$ and no solution if $0<p\leq\frac{N+\alpha}{N+1}$ or $p\geq\frac{N+\alpha}{N-1}$. Furthermore, the existence of infinity many solutions to the above problem is discussed when $p$ satisfies that $\frac{N+\alpha}{N}<p<\frac{N+\alpha}{N-1}$.
Updated constraints on new physics in rare charm decays

Motivated by recent experimental results on charm physics, we investigate implications of the updated constraints of new physics in rare charm meson decays. We first reconsider effects of the minimal supersymmetric standard model (MSSM) in $c\ensuremath{\rightarrow}u\ensuremath{\gamma}$ constrained by the recent experimental evidence on $\ensuremath{\Delta}{m}_{D}$ and find that, due to the dominance of long-distance physics, $D\ensuremath{\rightarrow}V\ensuremath{\gamma}$ decay rates cannot be modified by MSSM contributions. Then we consider effects of the extra heavy up vectorlike quark models on the decay spectrum of ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ and ${D}_{s}^{+}\ensuremath{\rightarrow}{K}^{+}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decays. We find a possibility for the tiny increase of the differential decay rate in the region of large dilepton mass. The $R$-parity violating supersymmetric model can also modify short distance dynamics in $c\ensuremath{\rightarrow}u{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decays. We constrain relevant parameters using the current upper bound on the ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay rate and investigate the impact of that constraint on the ${D}_{s}^{+}\ensuremath{\rightarrow}{K}^{+}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ differential decay dilepton distribution. Present bounds still allow a small modification of the standard model differential decay rate distribution.
The estimation of house bubbles during the time of pandemic: a study of Australia

ABSTRACT While the economy slid into a recession since the onset of the COVID-19 pandemic, the house prices in many markets have reached historical highs. This research aims to examine how much the recent large increases in the prices can be explained by bubbles and whether the overvaluation is due to momentum or intrinsic bubbles. A present value model is constructed to estimate real estate bubbles with one dynamic and three assumed net rental yields. The empirical focus is on Sydney, Melbourne and Brisbane, the three largest residential property markets in Australia, that have experienced a rapid growth in house prices since the outbreak of coronavirus. The finding demonstrates the evidence of bubbles in all three markets during the study period but the degree of overvaluation varies. We also discover that momentum bubbles exist in these markets but the overvaluation is mainly explained by intrinsic bubbles.
Organic soil amendments and food security: Evidence from Cameroon

Food insecurity remains a persistent policy issue in many developing countries. While socio‐political, epidemiological, climatic, and productivity‐related factors have received attention regarding food insecurity, a rarely considered factor is the changing quality of the soil, a natural resource base that has the potential of increasing or reducing vulnerability to food insecurity. The use of organic soil amendments may be socioeconomically and environmentally advantageous. This study examines the inherent relationship between the use of organic soil amendments and food security among smallholder farming households. Using the seemingly unrelated bivariate probit model and the recursive bivariate probit (RBP) model on nationally representative household‐level data from Cameroon, we find evidence that the use of organic soil amendments is positively associated with household food security. We also find the use of organic soil amendments to be associated with reduced levels of mild, moderate, and severe food insecurity. Empirical evidence is also suggestive of a positive association between crop diversification and food security. The results further show that households with larger farm sizes tend to use more organic soil amendments than households with smaller farms. Taken together, our findings confirm another pathway of improving food security with implications for the broad path toward achieving the UN Sustainable Development Goals (SDGs), particularly SDG 2 of ending hunger.
Inexact Alternating Minimization Algorithm for Distributed Optimization with an Application to Distributed MPC

In this paper, we propose the inexact alternating minimization algorithm (inexact AMA), which allows inexact iterations in the algorithm, and its accelerated variant, called the inexact fast alternating minimization algorithm (inexact FAMA). We show that inexact AMA and inexact FAMA are equivalent to the inexact proximal-gradient method and its accelerated variant applied to the dual problem. Based on this equivalence, we derive complexity upper-bounds on the number of iterations for the inexact algorithms. We apply inexact AMA and inexact FAMA to distributed optimization problems, with an emphasis on distributed MPC applications, and show the convergence properties for this special case. By employing the complexity upper-bounds on the number of iterations, we provide sufficient conditions on the inexact iterations for the convergence of the algorithms. We further study the special case of quadratic local objectives in the distributed optimization problems, which is a standard form in distributed MPC. For this special case, we allow local computational errors at each iteration. By exploiting a warm-starting strategy and the sufficient conditions on the errors for convergence, we propose an approach to certify the number of iterations for solving local problems, which guarantees that the local computational errors satisfy the sufficient conditions and the inexact distributed optimization algorithm converges to the optimal solution.
A Consistency Study of Coarse-Grained Dynamical ChainsthroughaNonlinearWaveEquationofMixed Type

A dynamical atomistic chain to simulate mechanical properties of a one-dimensional material with zero temperature may be modelled by the molecular dynamics (MD) model. Because the number of particles (atoms) is huge for a MD model, in practice one often takes a much smaller number of particles to formulate a coarse-grained approximation. We shall mainly consider the consistency of the coarse-grained model with respect to the grain (mesh) size to provide a justification to the goodness of such an approximation. In order to reduce the characteristic oscillations with very different frequencies in such a model, we either add a viscous term to the coarse-grained MD model or apply a space average to the coarse-grained MD solutions for the consistency study. The coarse-grained solution is also compared with the solution of the (macroscopic) continuum model (a nonlinear wave equation of mixed type) to show how well the coarse-grained model can approximate the macroscopic behavior of the material. We also briefly study the instability of the dynamical atomistic chain and the solution of the Riemann problem of the continuum model which may be related to the defect of the atomistic chain under a large deformation in certain locations.
The Eynard--Orantin recursion for the total ancestor potential

It was proved recently that the correlation functions of a semi-simple cohomological field theory satisfy the so called Eynard--Orantin topological recursion. We prove that in the settings of singularity theory, the relations can be expressed in terms of periods integrals and the so called phase forms. In particular, we prove that the Eynard-Orantin recursion is equivalent to $N$ copies of Virasoro constraints for the ancestor potential, which follow easily from the definition of the potential.
Management of Type 2 Diabetes With Insulin Glargine-100 in Iraq in a Real-Life Observation

Introduction: Type 2 diabetes mellitus (T2DM) management is challenging in conflict zones, such as Iraq, and insulin might not be readily prescribed or available to patients who need it. This study describes the profile of Iraqi T2DM patients treated with insulin glargine-100 (Glar-100) and their response to the treatment. Research design and methods: This observational, multicenter registry collected data over six months on demographic and medical history, insulin regimen, changes in glycemic parameters, and vital signs in patients with T2DM in Iraq. Results: Patients (N = 245) were 55.2 ± 10.2 years old, with 58.4% females. They had had diabetes for 10 years, with baseline glycated hemoglobin (HbA1c) levels of 10.3% ± 1.6% (89 mmol/mol), diabetes complications, and co-morbidities. Almost all were on oral anti-diabetics before treatment intensification with Glar-100. Over 50% of patients with prior insulin exposure were receiving basal plus or bolus regimens at baseline, versus 6% of insulin-naïve patients, though some required treatment intensification. Most were asked to self-titrate according to fasting plasma glucose (FPG), but self-titration proved challenging. Upon Glar-100 treatment, HbA1c and FPG levels significantly decreased (P < 0.001), and 20% of patients (mostly insulin-naïve) achieved HbA1c < 7% (53 mmol/mol). Vital signs improved, while weight changes were modest. Most safety events were mild, and only two patients discontinued Glar-100. Conclusion. Glar-100 safely and effectively decreased FPG and HbA1c levels, achieving HbA1c control in some patients. Glar-100 is a promising T2DM therapeutic option in Iraq.
Pengaruh Utang Luar Negeri, Inflasi, dan Pendapatan Negara terhadap Pertumbuhan Ekonomi: Studi di 6 Negara Asean

This research was conducted to measure the main influence of external debt, inflation and state income on the economic growth in Six (6) ASEAN countries using a quantitative approach. The population of this study includes 6 ASEAN countries for the periods of 2015-2019 using data from The World Bank. The method of analysis using Panel Data methods. Meanwhile, the model specification test is done by using the Random Effect Model as the suitability model. The results of this current study showed that inflation and GDP partially had a significant and negative effect on the economic growth of ASEAN countries, while the effect of external debt on economic growth is not significant. These findings are expected to make a positive contribution to the government in maintaining economic stability.Penelitian ini dilakukan untuk mengetahui pengaruh utang luar negeri, inflasi dan pendapatan negara terhadap pertumbuhan ekonomi di 6 (enam) negara ASEAN dengan menggunakan pendekatan kuantitatif. Populasi penelitian ini mencakup 6 negara ASEAN sepanjang periode2015-2019. Data diambil dari Bank Dunia. Metode analisis menggunakan Data Panel. Sedangkan pengujian spesifikasi model dilakukan dengan menggunakan Random Effect Model sebagai model kesesuaian. Temuan hasil penelitian menunjukkan bahwa inflasi dan GDP secara parsial berpengaruh negatif dan signifikan terhadap pertumbuhan ekonomi negara ASEAN, sedangkan utang luar negeri tidak memiliki pengaruh signifikan terhadap pertumbuhan ekonomi. Temuan ini diharapkan dapat memberikan kontribusi yang positif bagi pemerintah untuk menjaga kestabilan perekonomian.
A Hitchin–Kobayashi Correspondence for Coherent Systems on Riemann Surfaces

A coherent system (E, V) consists of a holomorphic bundle plus a linear subspace of its space of holomorphic sections. Motivated by the usual notion in geometric invariant theory, a notion of slope stability can be defined for such objects. In the paper it is shown that stability in this sense is equivalent to the existence of solutions to a certain set of gauge theoretic equations. One of the equations is essentially the vortex equation (that is, the Hermitian–Einstein equation with an additional zeroth order term), and the other is an orthonormality condition on a frame for the subspace V⊂H0(E).