Abstract The regression problem of fitting a “smooth”, discrete curve to data points on a Riemannian manifold is formulated here as an unconstrained, finite-dimensional optimization problem. Smoothness of a discrete...
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Abstract Nowadays, in many sports discrete data describing actions of athletes are collected in order to analyze performance. Performance analysis using these data usually is based on creating categories by which the ...
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Abstract Nowadays, in many sports discrete data describing actions of athletes are collected in order to analyze performance. Performance analysis using these data usually is based on creating categories by which the quality of the performance of athletes in a certain sport can be described. The definitions of these categories often only take a few circumstances or just the most important one into account which influence the performance of an athlete. By calculating continuous topographies of representative performances of the field, respectively all participating athletes, this method of classifying performances can be broken up and performances are put in context of the place where they occurred, in context of the internal and external circumstances which influence the athlete's performance, with respect to the performance of other athletes in that area. Based on the collected data such topographies are calculated using an exponential smoothing algorithm and by means of spline interpolation. The resulting three dimensional and two dimensional visualizations of such a topography show that artificial, discrete categories, which are usually shaped like geometrical figures, often circles or rectangles, are not appropriate for performance analysis because the quality of performance even within these categories is mostly varying too much. Furthermore, the results reveal that topographies of representative performance of the field are usually not shaped like geometric figures, but rather are more chaotically shaped depending on the field's real performance. Thus, continuous topographies of performance provide the opportunity to analyze performance with respect to a real representative performance in any area.
We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using inte...
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We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.
A parallel code for state-to-state quantum dynamics with propagation of time-dependent wavepacket in reactant coordinates has been developed on graphical processing units (GPUs). The propagation of wavepacket and the ...
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A parallel code for state-to-state quantum dynamics with propagation of time-dependent wavepacket in reactant coordinates has been developed on graphical processing units (GPUs). The propagation of wavepacket and the transformation of wavepacket from reactant to product Jacobi coordinates are entirey calculated on GPUs. A new interpolation procedure is introduced for coordinate transformation to decrease the five loop computation to two four loop computations. This procedure has a neglible consumption of extra GPU memory in comparison with that of the wavepacket and produces a considerable acceleration of the computational speed of the transformation. The code is tested to get differential cross sections of H+HD reaction and state-resolved reaction probabilities of O+HD reaction and state resolved reaction probabilities of O+HD for total angular momenta J = 0, 10, 20, and 30. The average speedups are 57.0 and 83.5 for the parallel computations on two c2070 and K20m GPUs relative to serial computation on Intel E5620 CPU, respectively.
A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It ...
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A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problems. Numerical examples are given to illustrate the algorithm and its convergence. Moreover, the approximation properties of the collocation algorithm have also been discussed.
The effective anisotropic stress or gravitational slip η=−Φ/Ψ is a key variable in the characterization of the physical origin of the dark energy, as it allows us to test for a nonminimal coupling of the dark secto...
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The effective anisotropic stress or gravitational slip η=−Φ/Ψ is a key variable in the characterization of the physical origin of the dark energy, as it allows us to test for a nonminimal coupling of the dark sector to gravity in the Jordan frame. It is however important to use a fully model-independent approach when measuring η to avoid introducing a theoretical bias into the results. In this paper we forecast the precision with which future large surveys can determine η in a way that only relies on directly observable quantities. In particular, we do not assume anything concerning the initial spectrum of perturbations, nor on its evolution outside the observed redshift range, nor on the galaxy bias. We first leave η free to vary in space and time and then we model it as suggested in Horndeski models of dark energy. Among our results, we find that a future large scale lensing and clustering survey can constrain η to within 10% if k-independent, and to within 60% or better at k=0.1 h/Mpc if it is restricted to follow the Horndeski model.
In order to help researcher to understand the measuring data more carefully, and to obtain more valuable and significant information hidden in measuring data of water environmental hydrodynamics, a ne
In order to help researcher to understand the measuring data more carefully, and to obtain more valuable and significant information hidden in measuring data of water environmental hydrodynamics, a ne
In this paper the accuracy of the sine-wave frequency estimator returned by an iterative Interpolated Discrete Fourier Transform (IpDFT) algorithm based on a Maximum Sidelobe Decay (MSD) window is analyzed. The expres...
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ISBN:
(纸本)9781479961153
In this paper the accuracy of the sine-wave frequency estimator returned by an iterative Interpolated Discrete Fourier Transform (IpDFT) algorithm based on a Maximum Sidelobe Decay (MSD) window is analyzed. The expressions for the contribution to the frequency estimation error of either the spectral interference from the sine-wave image component and wideband noise are derived. It is shown that two algorithm iterations ensure the minimum noise sensitivity achievable with the adopted window. The accuracy of the derived expressions is verified by means of computer simulations and validated by experimental results.
The article presents a mathematical equation explaining Newton interpolation polynomial for the sums of powers of integers in response to the Lgrange interpolation polynomial formula for the powers of integers.
The article presents a mathematical equation explaining Newton interpolation polynomial for the sums of powers of integers in response to the Lgrange interpolation polynomial formula for the powers of integers.
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