Miracle-dz/UniFAR-FTUs huggingface dataset:
Relative periodic solutions in conducting liquid films flowing down vertical fibres

The dynamics of a conducting liquid film flowing down a cylindrical fibre, subjected to a radial electric field, is investigated using a long-wave model (Ding et al., J. Fluid Mech., vol. 752, 2014, p. 66). In this study, to account for the complicated interactions between droplets, we consider two large droplets in a periodic computational domain and find two distinct types of travelling wave solutions, which consist of either two identical droplets (type I) or two slightly different droplets (type II). Both are ‘relative’ equilibria, i.e. steady in a frame moving at their phase speed, and are stable in smaller domains when the electric field is weak. We also study relative periodic orbits, i.e. temporally recurrent dynamic solutions of the system. In the presence of the electric field, we show how these invariant solutions are linked to the dynamics, where the system can evolve into one of the steady travelling wave states, into an oscillatory state, or into a ‘singular structure’ (Wray et al., J. Fluid Mech., vol. 735, 2013, pp. 427–456; Ding et al., J. Fluid Mech., vol. 752, 2014, p. 66). We find that the oscillation between two similarly sized large droplets in the oscillatory state is well represented by relative periodic orbits. Varying the electric field strength, we demonstrate that relative periodic solutions arise as the dynamically important solution once the type-I or type-II travelling wave solutions lose stability. Oscillation can be either enhanced or impeded as the electric field’s strength increases. When the electric field is strong, no relative periodic solutions are found and a spike-like singular structure is observed. For the case where the electric field is not present, the oscillation is instead caused by the interaction between a large droplet and a nearby much smaller droplet. We show that this oscillation phenomenon originates from the instability of the type-I travelling wave solution in larger domains, and that the oscillatory state can again be represented by an exact relative periodic orbit. The relative periodic orbit solution is also compared with experimental study for this case. The present study demonstrates that the relative periodic solutions are better at capturing the wave speed and oscillatory dynamics than the travelling wave solutions in the unsteady flow regime.
Invariant Patterns for Replicator Dynamics on a Hexagonal Lattice

A hexagonal lattice is a promising and plausible spatial platform for economic agglomeration in spatial economic models. This paper aims at the elucidation of agglomeration mechanisms for the replicator dynamics on this lattice. Attention is paid to the existence of invariant solutions that retain their spatial patterns when the bifurcation parameter changes. Such existence is a special feature of the replicator dynamics, which is widely used in economics. A theoretical procedure to find invariant patterns is proposed and possible invariant patterns are advanced and classified. Among a plethora of theoretically possible invariant patterns, those which actually become stable for a spatial economic model are investigated numerically. The major finding of this paper, is the demonstration of equilibrium curves of invariant patterns that are connected by those of noninvariant ones to form a complicated mesh-like structure, just like the threads of warp and weft. It would be an important scientific mission to elucidate the mechanism of this complicated structure, and contribute to the study in economic geography.
Function Model of the Teichm\"uller space of a closed hyperbolic Riemann Surface

We introduce a function model for the Teichm\"uller space of a closed hyperbolic Riemann surface. Then we introduce a new metric by using the maximum norm on the function space on the Teichm\"uller space. We prove that the identity map from the Teichm\"uller space equipped with the usual Teichm\"uller metric to the Teichm\"uller space equipped with this new metric is uniformly continuous. Furthermore, we also prove that the inverse of the identity, that is, the identity map from the Teichm\"uller space equipped with this new metric to the Teichm\"uller space equipped with the usual Teichm\"uller metric, is continuous. Therefore, the topology induced by the new metric is just the same as the topology induced by the usual Teichm\"uller metric on the Teichm\"uller space. We give a remark about the pressure metric and the Weil-Petersson metric.
Some commutative ring extensions defined by almost Bézout condition

In this paper, we study the almost Bezout property in different commutative ring extensions, namely, in bi-amalgamated algebras and pairs of rings. In section 2, we deal with almost Bezout domains issued from bi-amalgamations. Our results capitalize well known results on amalgamations and pullbacks as well as generate new original class of rings satisfying this property. Section 3 investigates pairs of rings where all intermediate rings are almost Bezout domains. As an application of our results, we characterize pairs of rings (R, T), where R arises from a (T,M,D) construction to be an almost Bezout domain.
Using MODIS estimates of fractional snow cover area to improve streamflow forecasts in interior Alaska

Abstract. Remotely sensed snow cover observations provide an opportunity to improve operational snowmelt and streamflow forecasting in remote regions. This is particularly true in Alaska, where remote basins and a spatially and temporally sparse gaging network plague efforts to understand and forecast the hydrology of subarctic boreal basins and where climate change is leading to rapid shifts in basin function. In this study, the operational framework employed by the United States (US) National Weather Service, including the Alaska Pacific River Forecast Center, is adapted to integrate Moderate Resolution Imaging Spectroradiometer (MODIS) remotely sensed observations of fractional snow cover area (fSCA) to determine if these data improve streamflow forecasts in interior Alaska river basins. Two versions of MODIS fSCA are tested against a base case extent of snow cover derived by aerial depletion curves: the MODIS 10A1 (MOD10A1) and the MODIS Snow Cover Area and Grain size (MODSCAG) product over the period 2000–2010. Observed runoff is compared to simulated runoff to calibrate both iterations of the model. MODIS-forced simulations have improved snow depletion timing compared with snow telemetry sites in the basins, with discernable increases in skill for the streamflow simulations. The MODSCAG fSCA version provides moderate increases in skill but is similar to the MOD10A1 results. The basins with the largest improvement in streamflow simulations have the sparsest streamflow observations. Considering the numerous low-quality gages (discontinuous, short, or unreliable) and ungauged systems throughout the high-latitude regions of the globe, this result is valuable and indicates the utility of the MODIS fSCA data in these regions. Additionally, while improvements in predicted discharge values are subtle, the snow model better represents the physical conditions of the snowpack and therefore provides more robust simulations, which are consistent with the US National Weather Service's move toward a physically based National Water Model. Physically based models may also be more capable of adapting to changing climates than statistical models corrected to past regimes. This work provides direction for both the Alaska Pacific River Forecast Center and other forecast centers across the US to implement remote-sensing observations within their operational framework, to refine the representation of snow, and to improve streamflow forecasting skill in basins with few or poor-quality observations.
A comparison of GSTAR-SUR models and a hybrid GSTAR-SUR/neural network model on residuals of precipitation forecasting

Abstract The Generalized Space Time Autoregressive-Seemingly Unrelated Regression (GSTAR-SUR) model is often used to forecast data that have time and location components. At the current time, precipitation is difficult to predict because it has patterns and characteristics that are hard to identify. This phenomenon is referred to as a non-linear phenomenon. One model that considers non-linearity is the neural network. The GSTAR-SUR model is a linear model, so at the current time is needed non-linear model on precipitation forecasting. This current research compares the precipitation forecast results from the GSTAR-SUR model and a hybrid GSTAR-SUR-with-neural-network approach in residuals. The data used in this research are the precipitation records for four locations in West Java for the years 2005 to 2015. The precipitation data represent 10-day-long observations. Precipitation in the four locations will be modeled using two approaches, i.e., GSTAR-SUR and GSTAR-SUR-NN. In the GSTAR-SUR-NN model, the residuals of the GSTAR-SUR model will be the basis of a neural network model. In this case, the GSTAR-SUR-NN model resulted in forecast data that are closer to the observed values than those from the GSTAR-SUR model. The mean forecasting error of the GSTAR-SUR-NN model was 3.8917 mm, while that of the GSTAR-SUR model was 4.3295 mm.
mosum: A Package for Moving Sums in Change-Point Analysis

Time series data, i.e., temporally ordered data, is routinely collected and analysed in in many fields of natural science, economy, technology and medicine, where it is of importance to verify the assumption of stochastic stationarity prior to modeling the data. Nonstationarities in the data are often attributed to structural changes with segments between adjacent change-points being approximately stationary. A particularly important, and thus widely studied, problem in statistics and signal processing is to detect changes in the mean at unknown time points. In this paper, we present the R package mosum, which implements elegant and mathematically well-justified procedures for the multiple mean change problem using the moving sum statistics.
Valid angle criterion and radiation pattern estimation via singular value decomposition for planar scanning

Planar near-field antenna measurement techniques are addressed with particular reference to the error in the radiation pattern estimation due to the finiteness of the observation aperture. The valid angle (VA) concept is a commonly used rule-of-thumb for predicting the region of validity of the calculated far-field pattern according to observation domain, the aperture antenna size and the distance between the two. However, it is based on simple asymptotic arguments which often lead to erroneous estimations. In this contribution, a new VA criterion and related radiation pattern representation are derived by exploiting the singular value decomposition of the radiation operator. Numerical examples show the goodness of the new VA criterion and the greatest stability of the proposed radiation pattern estimation compared to the classical Fourier transform.
X-ray occultations in active galactic nuclei: distribution in size of orbiting clouds and total mass content in the cloud ensemble

In recent years the short-time X-ray variability of AGNs has been interpreted in terms of varying absorption from the temporary occultation of the primary X-ray source itself owing to the passage of absorbing clouds. Detailed analyses have shown that these clouds are located in the same region and have physical properties similar to those of broad line region (BLR) emitting clouds. The aim of this paper is to investigate in detail whether the same group of orbiting clouds can account for BLR emitting cloud properties and X-ray eclipsing cloud properties as well. To this purpose we looked for a distribution in size for the cloud number density capable of fulfilling the observational requirements of the two groups. The existence of such a distribution not only proves that BLR clouds and eclipsing clouds can be part of the same “family”, but also allows us to estimate the total mass content in clouds orbiting around an AGN black hole.
Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Features

This article is concerned with the effect of slip boundary condition on two-dimensional creeping movement of a Newtonian fluid in the existence of pervious medium with wall features and heterogeneoushomogeneous chemical responses. The objective of this paper is to measure the performance of slip and wall feature constraints through graphs. It is observed that diffusion ascends with an increase in slip and wall constraints. The effective diffusion coefficient has been computed through long wavelength supposition and Taylor’s condition for chemical responses.
Large deviations and multifractal analysis for expanding countably-branched Markov maps

We will use the theory of thermodynamic formalism for countable Markov shifts to pose and solve problems in multifractal analysis and large deviations. We start with an introduction outlining results in thermodynamic formalism, multifractal analysis, and large deviations in Chapter 1. We state necessary concepts and results from dynamical systems, ergodic theory, thermodynamic formalism, dimension theory, and large deviations in Chapter 2. In Chapter 3, we consider the multifractal analysis for Gibbs measures for expanding, countably branched Markov maps. We will find conditions for the multifractal spectrum to have various numbers of phase transitions. Finally, in Chapter 4, we consider an expanding, countably-branched Markov map Tλ, the countable Markov shift ΣA, and a locally Hölder potential f :ΣA →R. The behaviour of the dynamical system (Tλ, (0,1]) depends on the value of λ. We will aim to form a large deviation principle for Sn f n for a fixed λ ∈ (2 ,1) and we will discuss the method for forming a such a principle for λ ∈ (0, 1 2] in Chapter 4’s introduction.
Quantum hyper-computing by means of evanescent photons

Nowadays quantum computation is probably considered as the most promising way to achieve superfast calculation performances to be implemented in the next generation of hyper-computers. Nevertheless, the realization of an hypercomputer, namely a system able to perform countable infinite computational steps within a finite time, is usually considered not allowed due to the Heisenberg uncertainty principle that limits the energy required by such steps. This limitation affects quantum algorithms as well as conventional computation. In this paper we show it is possible to bypass such limitation by considering a quantum system making use of evanescent photons produced by some physical processes such, for example, that occurring inside optical components made of metamaterials. This proposal opens very interesting prospects towards a deeper understanding of quantum information and computation as well as to the realization of an actual hypercomputer system and its applications to frontier fields such as Artificial Intelligence.
Nitratos y nitritos en productos vegetales y sus modificaciones por la cocción

SE HA DETERMINADO EL CONTENIDO DE NITRATOS Y NITRITOS EN DETERMINADAS ESPECIES VEGETALES CRUDAS COCIDAS Y EN SU AGUA DE COCCION. EL OBJETO DE ESTE TRABAJO HA SIDO OBSERVAR QUE MODIFICACIONES SE PRODUCEN POR EL PROCESO DE COCCION Y CUAL SERIA LA PROPORCION DE LA D.D. A. QUE APORTARIAN AL ORGANISMO AL CONSUMIR LOS PRODUCTOS VEGETALES EN EL ESTADO DE CONSUMO MAS HABITUAL (CRUDO O COCIDO). SE HAN ANALIZADO 114 MUESTRAS CLASIFICADAS SEGUN EL FIN A QUE HAN SIDO DESTINADOS LOS RESULTADOS Y CORRESPONDIENDO A 11 ESPECIES DIFERENTES. LOS METODOS UTILIZADOS ESTAN BASADOS EN LAS NORMAS AFNOR. CON LOS RESULTADOS OBTENIDOS SE HA LLEGADO A LAS SIGUIENTES CONCLUSIONES: NO TODOS LOS PRODUCTOS VEGETALES ACUMULAN NITRATOS. LAS ACELGAS SON LAS QUE PRESENTAN MAYOR PROPORCION DE ESTAS SALES Y LAS QUE CEDEN MENOS AGUA DE COCCION. LAS ESPINACAS PRESENTAN LAS CIFRAS MAS ELEVADAS DE NITRITOS.
AQI Prediction of Nanjing City Based on GM (1,1) Seasonal Index Model

Prediction of Air Quality Index (AQI) is of great significance to the economic development. The air quality system is a complex system with many factors and layers, and less data is available. Therefore, GM (1,1) model is utilized to predict the AQI. However, as AQI is affected by seasonal factors, the classical GM (1,1) model cannot accurately predict it at present. The AQI of Nanjing city from 2014 to 2017 is compared with the prediction results based on classical GM (1,1) model, GM(1,1) seasonal index model and the linear regression model. The result shows that the prediction results of GM (1,1) seasonal index model is the most accurate. Finally, GM (1,1) seasonal index model is used to forecast the future trend of AQI for Nanjing from 2018 to 2022, the average AQI of each quarter is less than 50 by 2022. This paper can provide various helps for government scientific decision-making.
Fundamental commutative (m, n)-rings obtained from (m, n)-hyperrings

We introduce the fundamental relation, $alpha^{*}$, on an $(m,n)$-hyperring $R$ and indicate that this relation is the smallest strongly regular equivalence relation on $R$ such that $R/alpha^{*}$ is an commutative $(m, n)$-ring. We use $alpha^{*}$-relation to construct the fundamental functor from category of $(m, n)$-hyperrings to the category of commutative $(m,n)$-rings. Finally, some necessary and sufficient conditions for transitivity of $alpha$ are given.
Robust output feedback control of polynomial growth nonlinear systems with measurement uncertainty

Even in the presence of uncertainty in both state and output equations, we prove that global asymptotic stabilization is still possible by output feedback for a family of uncertain nonlinear systems dominated by a triangular system with a polynomial output‐dependent growth rate. In contrast to the linear growth requirement in the recent work the nonlinear perturbations in this paper are allowed to satisfy a linear growth condition with a polynomial output‐dependent rate. To handle simultaneously the polynomial nonlinearities and unknown parameter in the system output, we propose a high‐gain estimator with a dynamic gain that is updated online through a Riccati‐type dynamic equation. Then, an estimator‐based controller is designed by a recursive algorithm that makes it possible to assign the controller gains step by step. The globally stabilizing output‐feedback controller developed in this paper is robust with respect to uncertainties in the system dynamics and output equations.
PENGARUH KEPEMIMPINAN KEPALA SEKOLAH DAN BUDAYA ORGANISASI TERHADAP KINERJA GURU SMA NEGERI 1 SIMPANG EMPAT

Dunia pendidikan dewasa ini menghadapi tantangan berat khusunya dalam menghasilkan sumber daya manusia yang berkualitas dan memiliki daya saing yang tinggi dalam pasar tenaga kerja global. Kinerja guru sangat penting dalam mensukseskan program pendidikan nasional. Diantara faktor-faktor yang mempengaruhi kinerja guru adalah kepemimpinan kepala sekolah dan budaya organisasi. Penelitian ini menganalisa pengaruh kepemimpinan kepala sekolah dan budaya organisasi terhadap kinerja guru pada SMA N 1 Simpang Empat. Populasinya adalah para guru di sekolah ini yang berjumlah 82 orang karna jumlah populasi dibawah 100 maka semua populasi dijadikan responden. Pengkuran variabel dilakukan dengan seperangkat instrumen yang dikuantifisir dengan skala likert. Hasil analisis dengan regresi linier berganda menunjukkan hasil bahwa kepemimpinan kepala sekolah berpengaruh positif dan signifikan terhadap kinerja guru SMA Negeri 1 Simpang Empat. Begitu juga budaya organisasi berpengaruh positif dan dignifikan terhadap kinerja guru SMA N 1 Simpang Empat. Pengaruh Kepemimpinan kepala sekolah dan budaya organisasi memberikan kontribusi sebesar 50,1% terhadap kinerja guru SMAN 1 Simpang Empat dan sisanya sebesar 49,9% dipengaruhi oleh variabel lain. Hasil penelitian ini memberikan implikasi praktis kepada pihak SMAN 1 Simpang Empat agar kinerja guru dapat ditingkatkan, perlu dilakukan peningkatan pada kepemimpinan kepala sekolah dan budaya organisasi. Kata Kunci : Kepemimpinan Kepala Sekolah, Budaya Organisasi, Kinerja Guru
Deaf Interpreter Education: Stories and Insights Shared by Working Deaf Interpreters and Deaf Interpreting Students

The purpose of this research study was to identify existing practices in interpreter preparation as it relates to Deaf interpreting students and working Deaf interpreters. In an effort to identify patterns in curricula, instructional approach, and formative experiences, the researcher aimed to distinguish effective instructional approaches for Deaf interpreting students. Working Deaf interpreters were interviewed to offer their perspective on existing preparation practices, both in formal academic settings and formative training. Secondly, Deaf interpreting students currently enrolled in Interpreter Preparation Programs (IPPs) were asked to reflect on their academic experiences and identify the most effective practices employed in their training programs, as well as the least effective practices. It was discovered that there are several inconsistencies in IPPs across the nation related to modifying skill development exercises for Deaf students, including but not limited to: lack of Deaf presence in the classroom, limited access to Certified Deaf Interpreters (CDIs) for mentoring partnerships, lack of appropriate resources for students, and instructors’ unpreparedness for effectively training Deaf interpreters. It was concluded that existing IPP curricula need revisions to incorporate a stronger presence of Deaf professionals as interpreter educators in the classroom and that programs need to work toward increasing the numbers of enrolled Deaf interpreting students. Additionally, it was found that it might be more effective for Deaf interpreting students’ development if certain courses and skill development exercises were completed independently of hearing classmates.
A Synoptic X-Ray Study of M31 with the Chandra High Resolution Camera

We have obtained 17 epochs of Chandra High Resolution Camera (HRC) snapshot images, each covering most of the M31 disk. The data cover a total baseline of ~2.5 yr and contain a mean effective exposure of 17 ks. We have measured the mean fluxes and long-term light curves for 166 objects detected in these data. At least 25% of the sources show significant variability. The cumulative luminosity function (CLF) of the disk sources is well fitted by a power law with a slope comparable to those observed in typical elliptical galaxies. The CLF of the bulge is a broken power law similar to measurements made by previous surveys. We note several sources in the southwestern disk with LX > 1037 ergs s-1. We cross-correlate all of our sources with published optical and radio catalogs, as well as new optical data, finding counterpart candidates for 55 sources. In addition, 17 sources are likely X-ray transients. We analyze follow-up Hubble Space Telescope (HST) WFPC2 data of two X-ray transients, finding F336W (U-band equivalent) counterparts. In both cases, the counterparts are variable. In one case, the optical counterpart is transient with F336W = 22.3 ± 0.1 mag. The X-ray and optical properties of this object are consistent with a ~10 M☉ black hole X-ray nova with an orbital period of 23 days. In the other case, the optical counterpart varies between F336W = 20.82 ± 0.06 and 21.11 ± 0.02 mag. Ground-based and HST observations show that this object is bright (V = 18.8 ± 0.1) and slightly extended. Finally, the frequency of bright X-ray transients in the M31 bulge suggests that the ratio of neutron star to black hole primaries in low-mass X-ray binaries (NS/BH) is ~1.