Miracle-dz/UniFAR-FTUs huggingface dataset:
The Co-action of Lie group on Hom Space

let G be a Lie group, and is a dual representation of G, In this paper we will present and study the concepts of co-action of Lie group on Hom space, we recall the definition of tensor product of two representations of lie groups and construct the definition of co-action of Lie group, and also study the properties of this action. we use the co-action of Lie group on Hom space combining with another Hom space having the same structure with different vector space, . so we have new co-action which called double co-action of Lie group G, denoted by Co-AAC_Lie group which acting on .
Raman spectroscopy of nanostructured silicon fabricated by metal-assisted chemical etching

In this work, we present a detailed experimental Raman investigation of nanostructured silicon films prepared by metalassisted chemical etching with different nanocrystal sizes and structures. Interpretation of observed one and two-phonon Raman peaks are presented. First-order Raman peak has a small redshift and broadening. This phenomenon is analyzed in the framework of the phonon confinement model. Second-order Raman peaks were found to be shifted and broadened in comparison to those in the bulk silicon. The peak shift and broadening of two-phonon Raman scattering relates to phonon confinement and disorder. A broad Raman peak between 900-1100 cm-1 corresponds to superposition of three transverse optical phonons ~2TO (X), 2TO (W) and 2TO (L). Influence of excitation wavelength on intensity redistribution of two-phonon Raman scattering components (2TO) is demonstrated and preliminary theoretical explanation of this observation is presented.
SVM Regression Modeling Based on Properties of Engineering Materials with PLS Feature Extraction

A combination regression algorithm of PLS-SVM is proposed for the properties of engineering materials. The algorithm first extracts the feature from the primal sample sets by PLS, and then carries out SVM regression estimation using the new sample sets attained. Thus the algorithm will have the ability of extracting feature. The simulation results indicate that the new combined SVM regression algorithm can effectively solve the regression estimation problem including dimensions reduction, noise elimination and multiple correlations between independent variables. The algorithm has good and wide application foreground in research of properties of engineering materials.
Regression rank-scores tests against heavy- tailed alternatives

Statistical inference in the linear model based on the concept of regression rank scores is invariant to the nuisance regression; hence regression rank-scores tests need no estimation of the nuisance parameters. Such tests, already available in the literature, are manageable, asymptotically distributionfree and have many convenient properties, but they are either censored or applicable only to lighttailed distributions. To extend the universality of regression rank-scores tests, we propose modified tests applicable to heavy-tailed distributions including Cauchy. Depending on the alternative we want to treat by the test, we censor the score generating function but the censoring is asymptotically negligible. The proposed tests, being asymptotically distribution-free, are as efficient as the ordinary rank tests without nuisance parameters, for a broad class of density shapes.
Normal-mode frequencies of Reissner–Nordström black holes

The normal-mode frequencies of a Reissner–Nordström black hole are determined from a phase-amplitude formula, using numerical integration in the complex coordinate plane. The results obtained are numerically very accurate, extending previous higher-order WKB results of Kokkotas and Schutz as well as the continued fraction results of Leaver. The change in the characteristic frequency of each mode as the charge of the black hole increases is also discussed.
A new Boussinesq method for fully nonlinear waves from shallow to deep water

A new method valid for highly dispersive and highly nonlinear water waves is presented. It combines a time-stepping of the exact surface boundary conditions with an approximate series expansion solution to the Laplace equation in the interior domain. The starting point is an exact solution to the Laplace equation given in terms of infinite series expansions from an arbitrary z-level. We replace the infinite series operators by finite series (Boussinesq-type) approximations involving up to fifth-derivative operators. The finite series are manipulated to incorporate Padé approximants providing the highest possible accuracy for a given number of terms. As a result, linear and nonlinear wave characteristics become very accurate up to wavenumbers as high as kh = 40, while the vertical variation of the velocity field becomes applicable for kh up to 12. These results represent a major improvement over existing Boussinesq-type formulations in the literature. A numerical model is developed in a single horizontal dimension and it is used to study phenomena such as solitary waves and their impact on vertical walls, modulational instability in deep water involving recurrence or frequency downshift, and shoaling of regular waves up to breaking in shallow water.
Luminescence of pulsed laser deposited Eu doped yttrium oxide films

Europium doped yttrium oxide (Eu:Y2O3) phosphor thin films were grown using a pulsed laser deposition (PLD) technique at varying growth conditions. The structural characterization carried out on a series of Eu:Y2O3 films grown on (100) silicon at substrate temperatures in the range of 250–600 °C and oxygen pressure in the range of 10−5 Torr to 200 mTorr indicated that films were preferentially (111) oriented. Measurements of photoluminescence and cathodoluminescence properties of laser deposited Eu:Y2O3 thin films and powder used for laser target showed that the best in situ grown films were ∼10%–22% as bright as Eu:Y2O3 powder. A postdeposition annealing treatment of Eu:Y2O3 films led to further improvements in their brightness (up to ∼70% with respect to Eu:Y2O3 powder), with cluster sizes of <400 nm.
Electron‐Beam‐Controlled Electrical Discharge as a Method of Pumping Large Volumes of CO2 Laser Media at High Pressure

An electron‐beam‐controlled discharge has been used to pump a variety of CO2 laser gas mixtures at atmospheric pressure in substantial volumes. Electrical and laser properties of the pumped medium have been measured. Small‐signal‐gain coefficients up to 0.045 cm−1 were achieved at field strengths of 3 kV/cm.
Stability analysis of linear systems with state jump - motivated by periodic motion control of passive walker

In this paper, we study the stability of periodic solutions of linear systems with state jump. Such a model arises, for example, when we consider the periodic motion of passive walkers [M. Garcia, et. al. The simplest walking model: stability, complexity, and scaling, 1998]. In our previous work [K. Hirata, H. Kokame and K. Konishi, On stability of simplified passive walker model and effect of feedback control, 2002], we derived such a model by simplifying the result of Garcia et.al.[T.McGeer, Passive dynamic walking, 1990] and analyzed its stability via the Poincare map. Also the effects of the feedback control strategies, OGY and DFC (delayed feedback control) methods, were examined in the same framework. However, the Poincare map was introduced in a rather ad-hoc manner there. In this paper, we refine the mathematical treatment of the Poincare map. After defining a special type of stability for the periodic solution considered here, we show that the stability via the Poincare map is equivalent to this specific definition. Also the effect of the data loss caused by the variation of the state jump interval in the OGY case is examined.
NACRE: A European Compilation of Reaction rates for Astrophysics

We report on the program and results of the NACRE network (Nuclear Astrophysics Compilation of REaction rates). We have compiled low-energy cross section data for 86 charged-particle induced reactions involving light (1⩽Z⩽14) nuclei. The corresponding Maxwellian-averaged thermonuclear reactions rates are calculated in the temperature range from 106 K to 1010 K. The web site “http://pntpm.ulb. ac.be/nacre.htm”, including the cross section data base and the reaction rates, allows users to browse electronically all the information on the reactions studied in this compilation.
Non-local memory effects of the electromotive force by fluid motion with helicity and two-dimensional periodicity

In mean-field dynamo theory, the electromotive force term ⟨u′ × B′⟩ due to small-scale fields connects the small-scale magnetic field with the large-scale field. This term is usually approximated as the α-effect, assumed to be instantaneous in time and local in space. However, the approximation is valid only when the magnetic Reynolds number Rm is much less than unity, and is inappropriate when Rm ≳ 1, which is the condition satisfied in the Earth's core or solar convection zone. We introduce a function φ qr as a non-local and non-instantaneous generalization of the usual α-effect and examine its behaviour as a function of Rm in the range 1/64 ≤ Rm ≤ 10 for a kinematic dynamo model. We use the flow of G.O. Roberts 1972 (Phil, Trans. Roy. Soc. London Ser. A, 1972, 271, 411–454), which is steady and has non-zero helicities and two-dimensional periodicity. As a result, we identify three regions in Rm space according to the behaviour of the function φ qr : (i) Rm ≲ 1/4, where the function φ qr is local and instantaneous and can be approximated by the traditional α and β effects, (ii) 1/4 ≲ Rm ≲ 4, where the deviation from the traditional α and β effects increases and non-localness and non-instantaneousness increase, and (iii) Rm ≳ 4, where boundary layers develop fully and non-localness and non-instantaneousness are prominent. We show that the non-local memory effect for Rm ≳ 4 strongly affects the dynamo action and explains an observed augmentation of the growth rate in the dispersion relation. The results imply that the non-local memory effect of the electromotive force should be important in the geodynamo or the solar dynamo.
Remote dynamic acoustoelastic testing: Elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression

Remote dynamic acoustoelastic testing is proposed to provide a noninvasive and regional measurement of elastic and dissipative acoustic nonlinearities in fluids and solids. The probed medium is dynamically stressed by a low-frequency sinusoidal variation in the hydrostatic pressure in the surrounding fluid. Simultaneously, ultrasound pulses propagate undergoing time of flight and energy modulations, associated with elastic and dissipative nonlinearities, respectively. Acoustic nonlinearities in tension phases can be distinguished from those measured in compression phases. Instantaneous modulations of ultrasound time of flight and energy are analyzed as functions of the instantaneous low-frequency acoustic pressure, similar to a quasistatic acoustoelastic testing.
Use of a novel wide‐angle FD‐BPM for loss performance assessment in randomly perturbed photonic crystal fibers

A novel wide‐angle finite‐difference beam‐propagation method is applied to the analysis of confinement losses in photonic crystal fibers (PCFs). The method is formulated in terms of the locally one‐dimensional (LOD) technique and Padé polynomials. It was found that the wide‐angle approach allows an acceleration of the convergence rate of up to 50% for the effective‐index imaginary part when compared to paraxial formalism. In this framework, an important aspect of PCF structures, namely, the random structural variation of the hole radius and pitch, which occurs during the fabrication process of these devices, is investigated in this paper. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 568–573, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20882
Increase in point spread function uniformity over the compensated field of view in strong scintillation using two deformable mirrors

The weighted parallel generalized projection algorithm is applied in two steps to the control of two deformable mirrors using multiple wavefront sensing beacons to simultaneously increase the compensated field of view while maximizing point spread function uniformity. Wave optical simulation results are presented that indicate that, even in strong scintillation, not only can the size of the compensated field of view be increased, but also the uniformity of the point spread function over the compensated field of view can be improved by augmentation of constraints enforcing point spread function uniformity.
Measured efficiency of a ZnO nanostructured diode piezoelectric energy harvesting device

We used controlled bending of a ZnO/poly(3,4-ethylenedioxythiophene): poly(styrenesulfonate) diode at known strain rates to measure the mechanical-to-electrical energy conversion efficiency. The mechanical energy input into the nanostructured diode was measured as 330 ± 2 nJ cm−2. The electrical energy output was calculated by integrating the product of the short-circuit current and open-circuit voltage over time. This gives a measured external efficiency of the device at a bending rate of 500 mm/min of 0.0067%. The efficiency increased exponentially with bending rate, though this increase must slow as the mechanical coupling efficiency is approached, which gives a maximum possible efficiency of 23% for ZnO.
Efficient Computer Manipulation of Tensor Products with Applications to Multidimensional Approximation

The objective of this paper is twofold: (a) To make it possible to perform matrix-vector operations in tensor product spaces, using only the factors (n p2 words of information for 0 ,= Ai, Ai C C(Ep, EP)) instead of the tensor-product operators themselves ((p2)n words of information). (b) To produce efficient algorithms for solving systems of linear equations with coef- ficient matrices being tensor products of nonsingular matrices, with special application to the approximation of multidimensional linear functionals. 1. Introduction. The use of multilinear algebra in applied numerical analysis has been rare. However, this is not the case in theoretical numerical analysis. In recent times, interest has grown in the use of tensor product interpolation rules in such different areas as multidimensional numerical quadrature (6), finite elements (4), interpolation and approximation. Despite this widespread theoretical interest, there are practically no algorithms for performing the various tasks required by these applications. This paper attempts to start filling the gap. We shall consider some of the basic operations in tensor spaces, and we shall indicate ways and means to perform them on a digital computer using a high level programming language. The aim is, of course, towards economy, both in arithmetic and storage, simplicity, sequential processing, and thus optimization in the manipula- tion of subscripts. After giving some basic notations in Section 2, we pass on to describe an algorithm for performing the Kronecker product matrix-tensor multiplication (AI (0) . *() Ak)x. It is clear from the beginning that a computer implementation of an algorithm which wants to be independent of the number of factors k must avoid the use of multi-indexed arrays. This holds even more if considerations on economy in index manipulations and storage are taken into account. It turns out, as we explain in Sections 3 and 4, that the whole process can be carried out sequentially and in a fairly simple manner. In Section 5, we deal with systems of linear equations of the form
Rib waveguide curvature loss: the scalar problem

The volume current method is used to obtain the curvature radiation loss from an integrated-optics dielectric rib waveguide in contact with the air. Following earlier workers, a single component of the electric field is assumed to satisfy a scalar Helmholtz equation. The electric field component is assumed to vanish on the air/dielectric interface; the introduction of this large discontinuity in the refractive index reduces the curvature loss considerably. The time and spatial decay constants appear as the product of two factors: a curvature factor CF and a shape discriminating factor DF. The factor CF is of lower order of magnitude than the curvature factor for an optical fibre, but contains similar features which may be compared. The discriminating factor DF may be calculated by the numerical solution of Helmholtz equations, but is discussed qualitatively here. Comparative shape studies are in agreement with physical intuition.
Critical aspects of scanning X-ray/optical interferometry

We are presently developing and testing an X-ray and optical interferometer capable of millimeter scans. Our goal is to reduce the relative uncertainty in the measurement of the (220) lattice spacing of a silicon crystal to a few parts in 10/sup 9/. In a new series of measurements, the value obtained with our previous experimental set-up is confirmed and the bounds to the measurement uncertainty are investigated.
SPHERE data reduction and handling system: overview, project status, and development

The SPHERE project is a ESO second generation instrument which aims to detect giant extra-solar planets in the vicinity of bright stars and to characterise the objects found through spectroscopic and polarimetric observations.Technical tolerances are the tightest ever for an instrument installed at the VLT, and SPHERE demands a rather unique DRH software package to accompany the data from the observation preparation to the search for planetary signals. This paper addresses the current status of the data reduction and handling system (DRHS) for the SPHERE instruments. It includes descriptions of the calibration and science data, reduction steps and their data products. The development strategy for creating of a coherent software that allows to achieve high observation efficiency is briefly discussed.
The CRISP package for intermediate- and high-energy photonuclear reactions

The two-step process that characterizes the intermediate- and high-energy photonuclear reactions (between 40 MeV and 4 GeV) has been successfully described by Monte Carlo calculations. Recently, a new class of codes capable to perform those calculations according to a more realistic method has been developed, improving the possibilities for simulating the reactions in more details. In this work we present the CRISP package (standing for Rio–Sao Paulo Collaboration), which is a coupling of the multi collisional Monte Carlo (MCMC) and the Monte Carlo for evaporation–fission (MCEF) codes. The first one describes the intranuclear cascade process, while the second one is dedicated to the evaporation/fission competition step. Both codes have already shown to be useful for calculating several features of different nuclear reactions. The CRISP code, coupling these two software, represents a good tool to describe the complex characteristics of the nuclear reactions, and opens the opportunity for applications in quite different fields, such as studies of hadron physics inside the nucleus, specific nuclear reactions, spallation and/or fission processes initiated by different probes and many others.
Plasma-wall transition: The influence of the electron to ion current ratio on the magnetic presheath structure

The effect of magnetic field on the plasma-wall transition layer is investigated using the two-fluid formulation. The quasi-neutral, near-sheath plasma (presheath) is examined, with the presence of neutral particles, and a magnetic field parallel to the confining wall. A general approach is used which takes into account the electron momentum equation, including the electric field force, the magnetic force, the pressure gradient, and the drag force. The influence of the electron to ion current ratio on the potential and velocity distribution in the near-sheath plasma is investigated. It is shown that the electron density distribution in the presheath may deviate from the Boltzmann distribution normally used in previous presheath models. Even when the plasma density dependence on the potential corresponds to the Boltzmann distribution, the presheath thickness deviates from that calculated with a model based on this distribution. The potential in the presheath with respect to the plasma–presheath interface c.
A MULTI-GRID ENHANCED GMRES ALGORITHM FOR ELASTO-PLASTIC PROBLEMS

A combination of both GMRES and multi-grid (MG) methods is presented in this paper for solving largescale two- and three-dimensional elasto-plastic problems, in which each MG iteration cycle serves as the preconditioning step for the GMRES procedure. A particular multi-grid approach, termed the Galerkin multigrid scheme, is considered and the main eort is devoted to the implementation aspects of the proposed algorithm. Numerical examples, characterised by large-scale (up to 82145 DOF), strong non-linearity (nearly plastic limit state, necking and localization) and severe ill-conditioned states (presence of loading limit points), and also involving symmetric and unsymmetric as well as SPD and indenite system matrices, are provided. The numerical results illustrate that the proposed method exhibits a remarkable performance in terms of eciency and robustness in all circumstances. 1998 John Wiley & Sons, Ltd.
Semiparametric and Nonparametric Regression Analysis of Longitudinal Data

This article deals with the regression analysis of repeated measurements taken at irregular and possibly subject-specific time points. The proposed semiparametric and nonparametric models postulate that the marginal distribution for the repeatedly measured response variable Y at time t is related to the vector of possibly time-varying covariates X through the equations E{Y(t)|| X(t} = α0(t) + β′0X(t) and E{Y(t)||X(t)} = α0(t)+ β′0(t)X(t), where α0(t) is an arbitrary function of t, β0 is a vector of constant regression coefficients, and β0(t) is a vector of time-varying regression coefficients. The stochastic structure of the process Y(·) is completely unspecified. We develop a class of least squares type estimators for β0, which is proven to be n½-consistent and asymptotically normal with simple variance estimators. Furthermore, we develop a closed-form estimator for a cumulative function of β0(t), which is shown to be n½-consistent and, on proper normalization, converges weakly to a zero-mean Gaussian process with an easily estimated covariance function. Extensive simulation studies demonstrate that the asymptotic approximations are accurate for moderate sample sizes and that the efficiencies of the proposed semiparametric estimators are high relative to their parametric counterparts. An illustration with longitudinal CD4 cell count data taken from an HIV/AIDS clinical trial is provided.
Photoacoustic Doppler flow measurement in optically scattering media

We recently observed the photoacoustic Doppler effect from flowing small light-absorbing particles. Here, we apply the effect to measure blood-mimicking fluid flow in an optically scattering medium. The light scattering in the medium decreases the amplitude of the photoacoustic Doppler signal but does not affect either the magnitude or the directional discrimination of the photoacoustic Doppler shift. This technology may hold promise for a new Doppler method for measuring blood flow in microcirculation with high sensitivity.