We consider the problem of fitting a set of points in Euclidean space by an algebraic hypersurface. We assume that points on a true hypersurface, described by a polynomial equation, are corrupted by zero mean independent Gaussian noise, and we estimate the coefficients of the true polynomial equation. The adjusted least squares estimator accounts for the bias present in the ordinary least squar...

The relationship between in‡ation and the output gap can be modeled simply and e¤ectively by including an unobserved random walk component in the model. The dynamic properties match the stylized facts and the random walk component satis…es the properties normally required for core in‡ation. The model may be generalized to as to include a term for the expectation of next period’s output, but it ...

The electrical power available from a photovoltaic (PV) module can be simulated with the well-known and widely used [1-4] single diode equation. Five parameters must be known in the equation to determine the current– voltage relationship (I–V curve) for the module. These parameters can be obtained by fitting the experimental I– V curve at a fixed temperature and solar radiation for a small but ...

In the measurement of fast neutron multiplicity, multiplicity counting rates neutrons, including singles, doubles, and triplets, are often substituted into equation to solve quality problems. To simplify solution process directly obtain sample through S, D, T, a neural network multivariate nonlinear fitting used for analysis. First, multiple sets data measured detection system built with Geant4...

Abstract With the popularization of friction stir welding (FSW), 5083-H321 and 6061-T6 aluminum alloy materials are widely used during FSW process. In this study, fatigue life with two materials, i.e., alloy, studied. Fatigue tests were carried out on base metal these as well butt joints overlapping samples. The principle equivalent structural stress method is to analyze test data materials. re...

An investigation of the drying of spherical food particles was performed, using peas as the model material. In the development of a mathematical model for drying curves, moisture diffusion was modelled using Fick’s second law for mass transfer. The resulting partial differential equation was solved using a forward-time central-space finite difference approximation, with the assumption of variab...

In this paper we consider fitting of a histogram, say a time distribution, with a fit function f(x, t), where x≡ {xi} is a vector of fit parameters. We start with the equation for statistical fluctuations of fit parameters as functions of fluctuations in the number of counts in the histogram channels, Nn, and discuss the following topics: • statistical errors and correlations of fit parameters;...

We present the first numerical QCD bound state calculation based on a renormalization group-improved light-front Hamiltonian formalism. The QCD Hamiltonian is determined to second order in the coupling, and it includes two-body confining interactions. We make a momentum expansion, obtaining an equal-time-like Schr˝ odinger equation. This is solved for quark-antiquark constituent states, and we ...

Results are presented on structure functions and final state properties within the CCFM approach. Traditionally used forms of the CCFM equation have difficulty fitting the F 2 data, predicting too fast a growth at small x. A solution can be found in a particular treatment of formally subleading (1 − z) terms, which dampens very considerably the small-x growth. Preliminary results are shown for ...