Miracle-dz/UniFAR-FTUs huggingface dataset:
An epidemic model with removal-dependent infection rate

This paper is concerned with a model for the spread of an epidemic in a closed, homogeneously mixed population in which new infections occur (cid:14) . (cid:14) . at rate b z xy r x q y , where x , y and z denote, respectively, the num- bers of susceptible, infective and removed individuals . Thus the infection mechanism depends upon the number of removals to date, reﬂecting behavior change in response to the progress of the epidemic . For a deterministic version of the model, a recurrent solution is obtained when (cid:14) . b z is piecewise constant . Equations for the total size distribution of the stochastic model are derived . Stochastic comparison results are obtained using a coupling method . Strong convergence of a sequence of epidemics to an unusual birth-and-death process is exhibited, and the behavior of the limiting birth-and-death process is considered . An epidemic model featuring sudden behavior change is studied as an example, and a stochastic threshold result analagous to that of Whittle is derived .
Operators and special functions in random matrix theory

The Fredholm determinants of integral operators with kernel of the form (A(x)B(y) − A(y)B(x))/(x−y) arise in probabilistic calculations in Random Matrix Theory. These were extensively studied by Tracy and Widom, so we refer to them as Tracy–Widom operators. We prove that the integral operator with Jacobi kernel converges in trace norm to the integral operator with Bessel kernel under a hard edge scaling, using limits derived from convergence of differential equation coefficients. The eigenvectors of an operator with kernel of Tracy–Widom type can sometimes be deduced via a commuting differential operator. We show that no such operator exists for TW integral operators acting on L2(R). There are analogous operators for discrete random matrix ensembles, and we give sufficient conditions for these to be expressed as the square of a Hankel operator: writing an operator in this way aids calculation of Fredholm determinants. We also give a new example of discrete TW operator which can be expressed as the sum of a Hankel square and a Toeplitz operator.
Design Method for Subsonic and Transonic Cascade With Prescribed Mach Number Distribution

A iterative procedure for blade design, using a time marching procedure to solve the unsteady Euler equations in the blade-to-blade plane, is presented. A flow solver, which performs the analysis of the flow field for a given geometry, is transformed into a design method. This is done by replacing the classical slip condition (no normal velocity component) by other boundary conditions, in such a way that the required pressure or Mach number distribution may be imposed directly on the blade. The unknowns are calculated on the blade wall using the so-called compatibility relations
ON "GO WITH THE WINNERS "A LGORITHM

Aldous and Vazirani proposed the “Go With The Winners” algorithm [AV94] to boost the success probability in searching for a leaf at the deepest level of a search tree, by introducing interactions between simulations. They claim high probability of success using only polynomial (in ) number of simulations (as against the naive exponential bound) on search trees satisfying certain criteria quantified by a parameter . This search tree model abstracts the behaviour of Simulated Annealing on a continuous function where a particle moves down to the leaves as the temperature is lowered making irrevocable choices at branch points of the tree. In this work, we propose a simple condition which intends to capture precisely the set of search trees for which the “Go With The Winners” algorithm will find a deepest node with high probability using only a polynomial number of particles. We show that our condition is both necessary and sufficient for a restricted class of search trees. We conjecture that the same condition precisely captures the set of all search trees for which the “Go With The Winners” algorithm is efficient. Since our condition is weaker than the sufficient condition as provided in [AV94] for the “Go With The Winners” algorithm to work, our conjecture, if true, will identify a larger class of search trees, than what the [AV94] condition suggests, on which the algorithm works well. Further, if the conjecture holds, it will give a tighter bound on the number of particles that will suffice for the algorithm to work. As an evidence, we construct a search tree satisfying our condition and on which “Go With The Winners” works, but the tree does not satisfy the sufficient condition as given in [AV94].
Directional macro-cell channel characterization from urban measurements

We measured the angular power distribution at the mobile station in downtown Paris at 890 MHz. The transmit antenna was omnidirectional and placed high above rooftops. The receiver antenna, a 21/spl times/41 element rectangular synthetic array, was located on the roof of a van. The refined high-resolution evaluation method, particularly robust against nonstationary signal components, allows an angular resolution of better than 1/spl deg/ in both azimuth and elevation and a delay resolution of 33 ns. Combined angular/temporal domain measurements are crucial for the understanding of the propagation mechanisms. The evaluated sites showed strongly street-dominated propagation. We found a combined circular and rectangular distribution of scatterers around the mobile station in street-dominated environments. Propagation over the roofs was significant; typically 65% of energy was incident with elevation larger than 100. Our results corroborate the hypothesis on the importance of multiple reflections/diffractions in urban macro cells. We explain this behavior by two reasons: narrow streets favoring a canyon effect and strong scatterers without line-of-sight (LOS) to the mobile station.
METODE CROSS VALIDATION DAN GENERALIZEDCROSS VALIDATION DALAM REGRESI NONPARAMETRIK SPLINE(Studi Kasus Data Fertilitas Di Jawa Timur)

Analisis regresi merupakan salah satu analisis di dalam statistika yang digunakan untuk mengestimasi pola hubungan antara variabel prediktor (x) dengan variabel respon (y). Diberikan data berpasangan ( ) j j x , y dengan hubungan antara j x dengan j y diasumsikan mengikuti model regresi nonparametrik y f x j n j j j = ( ) +e , =1,2,. , . Kurva regresi dihampiri dengan fungsi spline g dengan r buah titik knot K . Estimasi untuk kurva regresi spline diberikan oleh € ( ) = A[K] Y j g x dengan A[K] X[K](X[K]T X[K]) X[K]T −1 = . Estimator spline sangat bergantung pada titik knot ( )T r K , K ,. , K 1 2 K = . Estimasi spline terbaik diperoleh melalui pemilihan titik knot optimal menggunakan metode CV atau GCV. Titik knot optimal diperoleh dari : { ( )} ( ) ( )               − − = Σ= − ∈ ∈ n j jj r j j K R r K R A K K K y g x Min K K K Min n k k 1 2 1 2 1 1 2 1 , ,. , € CV , ,. , { ( )} [ ] [ ] ( ) ( )       − = ∈ ∈ − 2 1 2 1 2 1 , ,. , GCV , ,. , MSE r K R r K R n tr K K K Min K K K Min k k Ι A Sifat-sifat estimator spline adalah linier, tak bias, dan jika error berdistribusi normal, maka estimator berdistribusi normal. Estimasi kurva regresi nonparametrik spline dengan titik knot optimal menggunakan metode GCV pada data fertilitas pada periode 5 tahun terakhir di Jawa Timur memberikan hasil yang lebih baik dibandingkan dengan menggunakan metode CV, dengan memperhatikan kriteria kebaikan model serta pengujian asumsi residual model.
Heterodyne detection with an injection laser. II. Signal-to-noise ratio

For pt.I see ibid., vol.26, p.85-93 (1990). In part I a theory of the conversion efficiency of the self-heterodyne laser detector that was first described by R.F. Kazarinov and R.A. Suris (1974) was presented. In this device a light signal is passed into the resonant cavity of an actively oscillating injection laser, causing an electrical signal at the difference frequency between laser and signal to flow through the wire supplying the DC bias to the laser. An expression is derived for the signal-to-noise ratio of the self-heterodyne laser detector. The result shows that in the limit of ideal operation (complete population inversion and no internal losses) the signal-to-noise ratio of the self-heterodyne laser detector reaches one-half of the quantum noise limit. >
Numerical modelling and inversion of travel times of seismic body waves in inhomogeneous anisotropic media

Summary. Two approaches to travel-time computations in laterally inhomogeneous anisotropic media are presented. The first method is based on ray tracing in an anisotropic inhomogeneous medium, the second on the linearization procedure. The linearization procedure, which can be applied to inhomogeneous, slightly anisotropic media, does not require ray tracing in an anisotropic medium. Applications of linearized equations to the solutions of direct and inverse kinematic problems are discussed. A program package to perform the linearized computations for rather general 2-D laterally inhomogeneous layered structures is described and a numerical example is presented.
Soliton delivery of few-cycle optical gigawatt pulses in Kagome-lattice hollow-core photonic crystal fibers

We study the delivery of few-cycle soliton-like pulses at 800 nm with gigawatt power or microjoule energy through a hollow-core kagome-lattice photonic crystal fiber over 1 m with preserved temporal and spectral shape. We show that with optimized pressure of the argon filling, 5 fs input pulses are compressed up to 2.5 fs after 20 cm and restore their shape after 1 m propagation.
Bayes inference for the modulated power law process

The Modulated Power Law process has been recently proposed as a suitable model for describing the failure pattern of repairable systems when both renewal-type behaviour and time trend are present. Unfortunately, the maximum likelihood method provides neither accurate confidence intervals on the model parameters for small or moderate sample sizes nor predictive intervals on future observations. This paper proposes a Bayes approach, based on both non-informative and vague prior, as an alternative to the classical method. Point and interval estimation of the parameters, as well as point and interval prediction of future failure times, are given. Monte Carlo simulation studies show that the Bayes estimation and prediction possess good statistical properties in a frequentist context and, thus, are a valid alternative to the maximum likelihood approach. Numerical examples illustrate the estimation and prediction procedures.
COMPARISON OF STRESS RELIEF MECHANISMS OF METAL FILMS DEPOSITED ON LIQUID SUBSTRATES BY THERMAL EVAPORATING AND SPUTTERING

Various metal film systems, deposited on liquid (silicone oil) substrates by thermal evaporating and DC-magnetron sputtering methods, have been successfully fabricated and the stress relief mechanisms are systematically studied by analyzing the characteristic surface morphologies. The experiment shows that the evaporating metal films can move on silicone oil surfaces freely due to the nearly zero adhesion of solid–liquid interface, which results in spontaneous formation of ordered surface patterns with a characteristic sandwiched structure driven by the internal stress. For the sputtering metal film system, however, the top surface of silicone oil can be modified to form an elastomeric polymer layer on the liquid substrate during deposition. Subsequent cooling of the system creates a higher compressive stress in the film, which is relieved by buckling of the film to form periodic wavy structures because the adhesion of solid–elastomer interface is quite strong.
The Dimensional Characteristics of Ice Crystal Aggregates from Fractal Geometry

Abstract Ice crystal aggregates imaged by aircraft particle imaging probes often appear to be fractal in nature. As such, their dimensional properties, mass, and projected area can be related using fractal geometry. In cloud microphysics, power-law mass (m)– and area (A)–dimensional (D) relationships (e.g., m = aDb) incorporate different manifestations of the fractal dimension as the exponent (b). In this study a self-consistent technique is derived for determining the mass and projected area properties of ice particles from fractal geometry. A computer program was developed to simulate the crystal aggregation process. The fractal dimension of the simulated aggregates was estimated using the box counting method in three dimensions as well as for two-dimensional projected images of the aggregates. The two- and three-dimensional fractal dimension values were found to be simply related. This relationship enabled the development of mass–dimensional relationships analytically from cloud particle images. This t.
Discrete-time continuous-dilation wavelet transforms

We present a new form of wavelet transform called "discrete-time continuous-dilation wavelet transform" (DCWT). It is computed by correlating a given discrete-time signal with continuous dilations of a discrete-time mother wavelet. The results developed are based on the definition of a discrete-time scaling (dilation) operator through a mapping between the discrete and continuous frequencies. The forward and inverse discrete-time continuous-dilation wavelet transforms are formulated. The admissibility condition is derived, and examples of discrete-time wavelet construction are provided. The potential advantage of this new wavelet transform is that it is naturally suited for discrete-time signals and provides analysis and synthesis of such signals over a continuous range of scaling factors.
Short-range dynamics and prediction of mesoscale flow patterns in the MISTRAL field experiment

In a limited area of about 50 km by 50 km with complex topography, wind measurements on a dense network were performed during the MISTRAL field experiment in 1991/92. From these data, the characteristic wind fields were identified by an automated classification method. The dynamics of the resulting 12 typical regional flow patterns is studied in the present paper. It is discussed how transitions between the flow patterns take place and how well the transition probabilities can be described in the framework of a Markov model. Guided by this discussion, a variety of prediction models are described which allow a short-term forecast of the flow-pattern type. It is found that a prediction model which uses forecast information from the synoptic scale has the best forecast skill. DOI: 10.1034/j.1600-0870.1997. t01-3-00001.x
Asynchronous finite-time stabilisation of switched systems with average dwell time

The problem of asynchronous finite-time stabilisation for a class of switched systems with average dwell time is investigated. The time-delays the authors considered are present in both the feedback state and switching signal. Based on average dwell time, merging switching signal and linear matrix inequalities technology, some sufficient conditions are proposed to guarantee that the closed-loop switched system is finite-time stabilisable. An example is given to illustrate the effectiveness of the method proposed.
Evaluation of Low-Molecular-Weight Heparin Treatment on First- and Second-Trimester Screening Test Results

Background The serum markers used in first- and second-trimester screening tests can be affected by different causes such as smoking, infertility treatment, and the presence of diabetes mellitus, which should be considered by obstetricians when giving information to patients. Low molecular weight heparin (LMWH) has a critical importance in the prophylaxis of deep vein thrombosis both in the antenatal and postnatal period. The aim of the current study is to investigate the effect of LMWH use on the first- and second-trimester screening results. Methods A retrospective analysis in our outpatient clinic between July 2018 and January 2021 of first- and second-trimester screening test results was conducted to assess the impact of LMWH treatment for patients with thrombophilia who started LMWH after pregnancy was detected were included. Test results were obtained as a multiple of median (MoM) combined with ultrasound measurements, maternal serum markers, and maternal age in addition to the nuchal translucency first-trimester test. Results The pregnancy-associated plasma protein-A (PAPP-A) MoM was lower and alpha-fetoprotein (AFP) and unconjugated estriol (uE3) MoMs were higher in patients treated with LMWH than in the control group (0.78 MoM vs 0.96 MoM; 1.00 MoM vs 0.97 MoM; and 0.89 MoM vs 0.76 MoM, respectively). Human chorionic gonadotropin (HCG) levels did not differ between groups at either time point. Conclusions Treatment of pregnant women with LMWH for thrombophilia may change the MoM values of serum markers for both first- and second-trimester screening tests. Obstetricians should be aware of this when advising screening tests to thrombophilia patients and should consider offering fetal DNA tests for this group instead.
Analysis of Force Distribution in Grasps Using Augmentation

A new approach to the analysis of statically indeterminate restraint of a rigid body with any arrangement of point contact is presented in this paper. The paper associates the elasticity at restraint contacts with geometric compatibility of the contact points and constructs elastic compatibility equations, which are complementary to the restraint equations. The equations so obtained are then used to augment the restraint equations and lead to an agumented Jacobian matrix. The new approach enables grasps to be analysed and synthesized in a constraint of combined elasticity and geometric compatibility, in addition to the force equilibrium condition. This gives a mathematical basis for the analysis of force distribution of the statically indeterminate restraint. Detailed reasoning and derivations are given followed by both planar and spatial examples.
Discrete Differential Operators on Polyhedral Surfaces - Convergence and Approximation

0 Title Page, Contents, Acknowledgments 1 Introduction 2 Polyhedral surfaces 2.1 Metric structure 2.2 Sobolev theory on polyhedral surfaces 2.2.1 L^p spaces 2.2.2 Calculus of variations 2.2.3 Weak derivatives 2.2.4 Rellich lemma and Poincare inequality 2.2.5 Laplace Beltrami and Dirichlet problem 2.2. 6 A glimpse at regularity 2.3 Discrete function spaces 2.3.1 Conforming and nonconforming elements 2.3.2 Discrete Dirichlet problem 2.3.3 Delaunay discretization 2.3.4 Mass matrices and discretized functionals 2.4 Discrete differential operators 2.4. 1 Complex structure 2.4. 2 Divergence and Gauss theorem 2.4. 3 Curl and Stokes theorem 2.4. 4 Laplace Beltrami 2.4. 5 Mean curvature 2.5 Algebraic topology from FE 2.5. 1 Discrete de Rham complex 2.5. 2 de Rham cohomology 2.5. 3 Hodge decomposition 2.5. 4 Local parameterization and Poincare index theorem 2.5. 5 Hodge-star for harmonic vector fields 2.5. 6 Holomorphic and anti-holomorphic vector fields 2.5. 7 CR equations and parameterization 3 Convergence and Approximation 3.1 Overview 3.1. 1 What will be shown? 3.1. 2 What can go wrong? 3.2 Normal convergence 3.2.1 Shortest distance map 3.2.2 Metric distortion in geometric terms 3.2.3 Equivalent conditions for convergence 3.3 Convergence of metric properties 3.3.1 Dirichlet problem 3.3.2 Finite Element discretization of the Dirichlet problem 3.3.3 Mean curvature as a functional 3.3.4 Discrete minimal surfaces 3.3.5 Mean Curvature as a function 3.3. 6 Geodesics 3.4 Convergence of algebraic properties 3.4. 1 Whitney forms I: Overview 3.4. 2 Whitney forms II: Metric perturbation 3.4. 3 Convergence of algebraic FE 3.5 Convergence rates for inscribed meshes Bibliography
RISK OCH SKYDDSFAKTORER FÖR DROGANVÄNDANDE PÅ STRUKTURELL, LOKAL OCH INDIVIDUELL NIVÅ: EN INTERVJUSTUDIE MED OLIKA YRKESGRUPPER I NÄSSJÖ KOMMUN

Olsson E. Risk och skyddsfaktorer for droganvandande pa strukturell, lokal och individuell niva. En intervjustudie med olika yrkesgrupper i Nassjo kommun. Examensarbete i kriminologi 15 hogskolepoang. Malmo hogskola: Fakulteten for halsa och samhalle, institutionen for kriminologi, 2015. Nassjo kommun malas upp som en mytomspunnen kommun med en stor drogproblematik. Kommunen har, enligt statistik fran brottsforebyggande radet, en hogre anmalningssiffra vid narkotika jamfort med andra kommuner i lanet. Syftet med arbetet ar att genom intervjuer med olika professioner i Nassjo kommun identifiera risk- och skyddsfaktorer som kan paverka drogbruket i kommunen pa strukturell, lokal och individuell niva. Resultatet visar sammanlagt sju stycken riskfaktorer och fyra stycken skyddsfaktorer i kommunen. Nassjo kommun har en splittrad ledning med problem som stracker sig langt bak i tiden. Det visar dock att Nassjo kommun inte verkar sticka ut i ett drogperspektiv och har sannolikt likheter med andra kommuner.
3D Model Retrieval Based on Vector Quantisation Index Histograms

This paper proposes a novel technique to retrieval 3D mesh models using vector quantisation index histograms. Firstly, points are sampled uniformly on mesh surface. Secondly, to a point five features representing global and local properties are extracted. Thus feature vectors of points are obtained. Third, we select several models from each class, and employ their feature vectors as a training set. After training using LBG algorithm, a public codebook is constructed. Next, codeword index histograms of the query model and those in database are computed. The last step is to compute the distance between histograms of the query and those of the models in database. Experimental results show the effectiveness of our method.
MATRIX COMPLETION MODELS WITH FIXED BASIS COEFFICIENTS AND RANK REGULARIZED PROBLEMS WITH HARD CONSTRAINTS

The problems with embedded low-rank structures arise in diverse areas such as engineering, statistics, quantum information, finance and graph theory. This thesis is devoted to dealing with the low-rank structure via techniques beyond the widely-used nuclear norm for achieving better performance. In the first part, we propose a rank-corrected procedure for low-rank matrix completion problems with fixed basis coefficients. We establish non-asymptotic recovery error bounds and provide necessary and sufficient conditions for rank consistency. The obtained results, together with numerical experiments, indicate the superiority of our pro- posed rank-correction step over the nuclear norm penalization. In the second part, we propose an adaptive semi-nuclear norm regularization approach to address rank regularized problems with hard constraints via solving their nonconvex but con- tinuous approximation problems instead. This approach overcomes the difficulty of extending the iterative reweighted l1 minimization from the vector case to the matrix case. Numerical experiments show that the iterative scheme of our pro- pose approach has advantages of achieving both the low-rank-structure-preserving ability and the computational efficiency.
Duality and Entropy for Finite Commutative Hypergroups and Fusion Rule Algebras

We develop a theory of harmonic analysis and duality for finite commutative hypergroups by considering somewhat more general objects called signed hypergroups. A notion of entropy is defined, and a Second Law of Thermodynamics is established. Applications to group theory and to the fusion rule algebras of conformal field theory are given.