Miracle-dz/UniFAR-FTUs huggingface dataset:
Holonomies of Yang–Mills connections for bundles on a surface with disconnected structure group

Abstract Let Σ be a closed surface of genus ≥ 1, G a compact Lie group, not necessarily connected with Lie algebra g, ξ,: P → Σ a principal G-bundle, and suppose Σ equipped with a Riemannian metric and g with an invariant scalar product so that the Yang—Mills equations on ξ are defined. Further, let be the universal central extension of the fundamental group π of Σ and ΓR the group obtained from Γ when its centre Z is extended to the additive group R of the reals. We show that there are bijective correspondences between various spaces of classes of Yang—Mills connections on ξ and spaces of representations of Γ and ΓR (as appropriate) in G. In particular, we show that the holonomy establishes a homeomorphism between the moduli space N(ξ) of central Yang–Mills connections on ξ and the space Repξ(Γ, G) of representations of Γ in G determined by ξ. Our results rely on a detailed study of the holonomy of a central Yang–Mills connection and extend corresponding ones of Atiyah and Bott for the case where G is connected.
Asymptotic behavior of the extended Jensen equation

We introduce the extended Jensen equation \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$q^n f\left( {\frac{{x_1 + .x_{q^n } }} {{q^n }}} \right) = \sum\limits_{i = 1}^{q^n } {f(x_i )} ,$$ \end{document} where q > 1 and n are fixed positive integers. We investigate the stability and the asymptotic behavior of the above extended Jensen equation and prove that if 0 < p < 1 and f is a mapping from a normed space into a Banach space with f (0) = 0 which p -asymptotically satisfies the above equation, then it is p -asymptotic close to a linear mapping.
Adaptive mesh refinement‐enhanced local DFD method and its application to solve Navier–Stokes equations

Recently, the domain‐free discretization (DFD) method was presented to efficiently solve problems with complex geometries without introducing the coordinate transformation. In order to exploit the high performance of the DFD method, in this paper, the local DFD method with the use of Cartesian mesh is presented, where the physical domain is covered by a Cartesian mesh and the local DFD method is applied for numerical discretization. In order to further improve the efficiency of the solver, the newly developed solution‐based adaptive mesh refinement (AMR) technique is also introduced. The proposed methods are then applied to the simulation of natural convection in concentric annuli between a square outer cylinder and a circular inner cylinder. Numerical experiments show that the present numerical results agree very well with available data in the literature, and AMR‐enhanced local DFD method is an effective tool for the computation of flow problems. Copyright © 2005 John Wiley & Sons, Ltd.
Non-linear dynamics of three-dimensional rods: Exact energy and momentum conserving algorithms

The long-term dynamic response of non-linear geometrically exact rods under-going finite extension, shear and bending, accompanied by large overall motions, is addressed in detail. The central objective is the design of unconditionally stable time-stepping algorithms which exactly preserve fundamental constants of the motion such as the total linear momentum, the total angular momentum and, for the Hamiltonian case, the total energy. This objective is accomplished in two steps. First, a class of algorithms is introduced which conserves linear and angular momentum. This result holds independently of the definition of the algorithmic stress resultants. Second, an algorithmic counterpart of the elastic constitutive equations is developed such that the law of conservation of total energy is exactly preserved. Conventional schemes exhibiting no numerical dissipation, symplectic algorithms in particular, are shown to lead to unstable solutions when the high frequencies are not resolved. Compared to conventional schemes there is little, if any, additional computational cost involved in the proposed class of energy–momentum methods. The excellent performance of the new algorithm in comparison to other standard schemes is demonstrated in several numerical simulations.
Brittle Fracture: its Study and Application

Abstract Brittle fracture is a challenging problem both from theoretical and experimental viewpoints. Once a crack starts to propagate in a brittle solid its velocity may quickly reach several thousands of metres/sec. Various high resolution techniques including high-speed photography, ultrasonics and electrical methods have been developed for fracture propagation studies. For many brittle solids a maximum crack velocity exists. Crack branching can occur either when a crack reaches a high velocity or when a stress wave passes over it. Brittle fracture is frequently an undesirable event, but there are situations where it has great practical importance. Examples of the beneficial application of fracture are discussed including gem stone cleaving, the interruption of electric current and rock fragmentation.
Forensic Accounting Techniques on Fraud Prevention in Tertiary Institutions in Cross River State, Nigeria

This study examined the influence of forensic accounting techniques on fraud prevention in tertiary institutions in Cross River State, Nigeria. The study's methodology was a survey research design. Two research questions and two null hypotheses were developed in order to fulfill the study's objectives. Due to the manageable size of the population, all 152 auditors in bursary department participated in the study. A questionnaire titled “Forensic Accounting Techniques on Fraud Prevention” (FATFP) with a four-point rating scale was used for data collection. Two specialists in accounting department and one expert in measurement and evaluation validated the instrument. The Cronbach's alpha method was used to calculate the overall reliability coefficient of the instrument, which is.79. The standard deviation and mean were used to answer the research questions. The null hypotheses were tested using an independent t-test at the.05 level of significance. The findings revealed that computer-assisted audit techniques and interview audit techniques had a significant influence on fraud prevention at tertiary institutions. Among other things, it was recommended that, government should arm auditors with information and communication tools to aid auditing procedures for fraud prevention. Once again, auditors should use contemporary interview approaches, including watching candidates during interviews, using recording equipment, and installing CCTV cameras strategically placed to capture correct data that will aid in stopping fraudulent operations in Nigerian educational institutions, particularly in Cross River State, Nigeria. Received: 11 November 2022 / Accepted: 28 December 2022 / Published: 5 January 2023
Antipsychotic Drugs Efficacy in Dextromethorphan-Induced Psychosis

Psychosis is known as a broad term of symptoms that cause serious disorganization of behavior, thinking, and perception of reality. One of the medicines that recently gained much attention in terms of its psychotic potential is dextromethorphan (DXM). DXM, a widely used antitussive drug, is a commonly abused drug because of its euphoric, hallucinogenic, and dissociative properties. To date, DXM is a legally marketed cough suppressant that is neither a controlled substance nor a regulated chemical under the Controlled Substances Act. The management of DXM-related psychosis is dependent on the type of psychotic symptoms. Atypical neuroleptics (i.e., olanzapine, risperidone, quetiapine) and typical haloperidol have been used in symptomatic treatment due to their efficacy, especially in positive symptoms (hallucinations and delusions). These agents are also recognized as the preferred option in the symptomatic treatment of DXM-related psychosis due to their better efficacy and safety profile than typical haloperidol in the short-term course. The focus of the present review concerns the current stage of knowledge about DXM psychotic potency as well as the management of DXM-related psychoses with a special emphasis on atypical antipsychotic drugs (i.e., olanzapine, risperidone, quetiapine, and haloperidol).
Low dose risk estimation via simultaneous statistical inferences

Summary. The paper develops and studies simultaneous confidence bounds that are useful for making low dose inferences in quantitative risk analysis. Application is intended for risk assessment studies where human, animal or ecological data are used to set safe low dose levels of a toxic agent, but where study information is limited to high dose levels of the agent. Methods are derived for estimating simultaneous, one‐sided, upper confidence limits on risk for end points measured on a continuous scale. From the simultaneous confidence bounds, lower confidence limits on the dose that is associated with a particular risk (often referred to as a bench‐mark dose) are calculated. An important feature of the simultaneous construction is that any inferences that are based on inverting the simultaneous confidence bounds apply automatically to inverse bounds on the bench‐mark dose.
UNIQUE BEHAVIORS OF A BACKWARD-FACINGSTEP FLOW AT MICROSCALE

ABSTRACT The direct simulation Monte Carlo (DSMC) method is used to simulate micro backward-facing step flows in both slip and transition flow regimes. The effects of rarefaction on flow characteristics are analyzed and discussed. It is found that flow separation, recirculation, and reattachment will disappear as Knudsen number Kn exceeds 0.1. The stability of the vortex behind the step relies on the magnitudes of mean and thermal velocities in the region, which are closely related to the Kn number, local temperature, and driving pressure ratio. A highly intensified pressure and velocity region behind the step is identified in the transition flow regime. The mechanism leading to the significant increase of velocity and pressure is discussed. The effect of rarefaction on the surface shear stress and friction coefficient is also studied.
Evaluation of perceived stress and resilience among postgraduate academic‐affiliated pharmaceutical industry fellows

It has been determined that pharmacy residents experience high levels of perceived stress; however, the extent of stress perceived by pharmaceutical industry fellows has not been quantified. This study examined the level of perceived stress academic‐affiliated postgraduate pharmaceutical industry fellows experience, along with identification of what types of stressors they experience, possible factors associated with higher levels of perceived stress, and the state of resilience skills in this population.
Nonlinear instability and error growth in Northern Hemisphere three-dimensional flows: cyclogenesis, onset-of- blocking and mature anomalies.

Abstract The nonlinear interactions of an initial small amplitude instability mode with a three-dimensional climatological flow (for Northern Hemisphere, January 1978), an which it is growing are studied in a multilevel nonlinear primitive equation model incorporating spherical geometry. Numerical experiments in which there is either constant or no forcing are considered. For the forced runs the forcing is such that the climatological flow is an exact steady state solution which, however, is unstable when perturbed by the normal mode disturbance. For the unforced runs, we examine the divergence of two “forecasts,” one of which has the climatological flow as initial conditions and the other, the climatological flow perturbed by the instability solution. The structural changes that occur in the total and disturbance streamfunctions and kinetic energies and in the disturbance momentum and heat fluxes are examined. The initially small-scale shallow disturbance increases in wale and penetrates into the upper t.
The distribution of the short-return function

We consider the first return of a sequence to itself . It is known that Tn/n converges to 1 almost surely for ergodic processes with positive entropy. Large deviations are also known. We study the fluctuations of Tn. For product measures over a countable alphabet we prove the convergence in distribution of Tn, properly re-scaled, to a non-degenerated, non-parametric, distribution. We also show that the re-scaled factors behave as follows: expectation of Tn is about n minus a positive constant and the variance is about a constant. As an application, we compute bounds and limiting values of the proportion of self-avoiding sequences. We illustrate with some examples.
The Corelation between the Duration of Using Waterproof Foundation and the Incidence of Acne Vulgaris in Female University Students

Acne vulgaris (AV) is a chronic inflammatory disease of the polysebaceous follicles of the skin. Lesions that can be caused by AV can be in the form of papules, pustules, modules, or comedones. Based on a preliminary study, many UNISSULA Medical Faculty students have AV and many use foundation. The purpose of this study was to determine the relationship between the duration of using foundation and the incidence of AV in Unissula Medical Faculty students. This research is an observational study with a cross sectional design. The sample is a student of FK UNISSULA Class of 2019 and 2020 who uses a waterproof foundation. The exclusion criteria for the sample were students who had not passed the module, had many activities so that they slept < 6 hours, one week before the exam, one week before and during menstruation. There were 47 respondents of UNISSUA FK female students, 17 (36.2%) female students suffered from AV and 30 (63.8%) female students did not suffer from AV. The average duration of using waterproof foundation is 4.5 hours. The results of the analysis of the relationship between the duration of using the foundation and the incidence of AV using the Spearman test obtained p 0.001, with r -0.482. The conclusion in this study was that there was a relationship between the duration of using the foundation and the incidence of AV with a moderate correlation.
UBV(RI)C JHK observations of Hipparcos-selected nearby stars

We present homogeneous, standardized UBV(RI)C photometry for over 700 nearby stars selected on the basis of Hipparcos parallaxes. Additionally, we list JHK photometry for about half of these stars, as well as L photometry for 86 of the brightest. A number of stars with peculiar colours or anomalous locations in various colour–magnitude diagrams are discussed.
An Intelligent Diagnostic Method for Multisource Coupling Faults of Complex Mechanical Systems

In the actual environment, there are difficult points such as complicated mechanical system fault types, random fault locations, and inconspicuous minor fault signals, which make it difficult to accurately diagnose faults. This paper proposes a new method for fault diagnosis of an adaptive multisensor bearing-gear system based on GAF/MTF (Gramian angular fields and Markov transition fields) and ResNet (deep residual network). First, we establish a multisensor signal acquisition system to monitor the running signals of the bearing-gearbox composite test bench in real time. Faulty parts include multiple types of composite faults of different sizes, different fault types, and different transmission stages. Second, based on GAF/MTFs, the multichannel timing signal collected by using the acquisition system is converted into multichannel pictures, and pictures are fused and compressed into three-channel pictures. Finally, we input these pictures into ResNet for fault diagnosis. The experimental results show that the GAF/MTF-ResNet model has a recognition accuracy of 72.14% for a total of 520 classification label test sets under different motor speeds, different sampling times, and different types of faults. Among them, the accuracy of the motor speed and sampling time is close to 100%, and the accuracy of gearbox failure and bearing failure is 75.25% and 88.97%, respectively. This shows that the method provides new ideas for the composite fault diagnosis of mechanical systems under different working conditions and different types of faults and has theoretical guiding significance.
Characterization of Indigenous Non-Saccharomyces Yeast Strains with Potential Use in Winemaking.

BACKGROUND The vineyard is a great reservoir of autochthonous yeast strains whose composition is defined by different regional (edaphology, orography or climatology) and anthropological factors (cultivation systems or cultural practices). Most of this yeast diversity corresponds to non-Saccharomyces strains, some of which have potential use in winemaking. METHODS The oenological potential of 29 different native non-Saccharomyces strains belonging to 4 species (Lachancea thermotolerans, Torulaspora delbrueckii, Starmerella bacillaris and Metschnikowia spp.) was evaluated, using the autochthonous Saccharomyces cerevisiae XG3 strain as a control. Microfermentations with pure culture of each strain were performed in duplicate and the basic parameters and major volatiles of wines were analysed following official methodology. The best strain within each species was selected using a quantification matrix including the relevant oenological characteristics. RESULTS The fermentative ability of non-Saccharomyces was lower than S. cerevisiae in all cases, but with differences among species. L. thermotolerans and T. delbrueckii showed higher fermentation rates than Starm. bacillaris, whereas Metschnikowia spp. presented a low fermentative power. At chemical level all non-Saccharomyces strains reduced the alcoholic content, the higher alcohols and the volatile acidity of wines and increased the content of glycerol, with differences among strains within a given species. T. delbrueckii and L. thermotolerans increased the total acidity of wines. The latter and Metschnikowia spp. strains produced lactic acid, which decreased the wine pH in the case of L. thermotolerans. According to their oenological traits the best rated strains of each species were Lt93, Td315, Mf278 and Sb474. In addition, the data obtained in pure fermentations were correlated to those chemical and aromatic compounds obtained with these non-Saccharomyces strains in sequential fermentations. CONCLUSIONS Autochthonous strains of non-Saccharomyces yeast species contribute distinctive chemical characteristics to the wines. The correlations observed between wines fermented with the different non-Saccharomyces indigenous strains in pure and sequential fermentations suggest that their contribution to wine properties remains stable regardless of must composition or winemaking techniques.
The case and fate of HD 75767 – neutron star or supernova?

We report the discovery of the nearby (d = 24 pc) HD 75767 as an eight billion year old quadruple system consisting of a distant M dwarf pair, HD 75767 C-D, in orbit around the known short-period P = 10.25 d single-lined binary HD 75767 A-B, the primary of which is a solar-like G star. On the reasonable assumption of synchronous orbital rotation as well as rotational and orbital coplanarity for the inner pair, we get M B = 0.96 Mfor the unseen HD 75767 B, that is, the case of a massive white dwarf. Upon future evolution, mass transfer towards HD 75767 B will render the M A = 0.96 MG-type primary, now a turnoff star, to become a helium white dwarf of M A ∼ 0.33 M� . Depending on the mass accretion rate, accretion efficiency and composition of the massive white dwarf, this in turn may result in a collapse of HD 75767 B with the formation of a millisecond pulsar, i.e. the creation of a low-mass binary pulsar (LMBP), or, instead, a Type Ia supernova explosion and the complete disruption of HD 75767 B. Irrespective of which scenario applies, we point to the importance of the distant M dwarfs as the likely agents for the formation of the inner, short-period HD 75767 A-B pair, and hence a path that particularly avoids preceding phases of common envelope evolution. Ke yw ords: binaries: close - stars: evolution - stars: individual: HD 75767 - pulsars: general - supernovae: general - white dwarfs.
Correction of Marine Air Temperature Observations for Solar Radiation Effects

Abstract The effect of incoming solar radiation on merchant ships' observations of air temperature was assessed as part of the Voluntary Observing Ships' Special Observing Project for the North Atlantic (VSOP-NA), The ships' reports were compared with interpolated output from a numerical weather model. Differences between the ship values and the model values for air temperature (ΔTa) were found, in the mean, to be independent of instrument type, ship size, and, except for very badly exposed sensors, exposure. The differences were related to the relative wind speed over the ship (V) and the incoming shortwave radiation (R). The formula derived for the radiative heating error δT was δT = 2.7 × 10−3 R − 3.2 × 10−5 RV, where δt has units of degrees Celsius, R is in watts per square meter, and V is in knots. After correcting the ΔTa values, an approximately constant bias remained with the ship reports on average 0.4°C lower than the model air temperatures. This offset probably represents a mean bias in the mod.
Virtual communities decision model (VCDM): An empirical validation in online social networks (OSNs) adoption among capital market investors

The COVID-19 epidemic has hastened the growth of Virtual Communities and is affecting virtually every part of work in the public and business sectors. Virtual communities, popular forums for communication and entertainment, increasingly affected the users’ decisions. Though many technology adoption models/theories are available, a distinctive model for decision-making in a virtual environment is scarce. This research developed the virtual communities’ decision model and empirically tested its performance. This study examined 16 well-established theories/models of information technology, social science, marketing, and behavioral finance and extracted nine constructs from 58 identified constructs considering theoretical cohesiveness along with the three-stage method proposed by Moore and Benbasat. A unified model for virtual communities’ decisions (VCDM) is developed and validated using the data collected from individual capital market investors in Bangladesh. The structural equation modeling technique is used to analyze the data. The upshot implies that VCDM performs adequately and explains the maximum variances in intention to decision and investment. VCDM also outperforms the majority of the related theoretical models. The acceptance levels of fit indices and all significant relationships among different constructs are also empirically validated. The moderating effect of the virtual group use experience is also confirmed. Future research can use VCDM in marketing, behavioral finance, ecommerce, information systems and social science context. VCDM thus facilitates a beneficial tool for managers, service providers, and other users to assess the likelihood of effectiveness for decisions in a virtual environment.