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However, using this method to approximate the distribution of the SCN requires normalization and the behavior of this approximation could be affected especially at high SNR.
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We predict the error behavior of the approximation and demonstrate this on an application.
We prove that the behavior of the approximation numbers of the finite sections Tn(a)="PnT a Pn depends heavily on the Fredholm properties of the operators T(a) and T(˜a)(a˜(t)="a(1/t)).
Various examples illustrate the behavior of these approximations and their use in determining the necessary sample size to achieve a desired RMS.
Afterwards, the paper describes the experimental setup and discusses the experimental results centered mainly on the basic UAV׳s behavior of landmark approximation maneuver, which in topological navigation is known as the beaconing or homing problem.
The selection of the knots in B-spline approximation has an important and considerable effect on the behavior of the final approximation.
We show that a Qualitative networks model of a frequent network motif offers a valid qualitative approximation of the experimentally observed behavior of this motif.
In the frequency region corresponding to the above-considered states of charge carriers in the QD bulk, (n,l), the wavelength of light is much larger than the dimensions of these states (~ae, ah), that is the behavior of approximation.
The work presented in this paper constitutes the second phase of on-going research aimed at developing mathematical models for representing general hysteretic behavior of structures and approximation techniques for the computation and analysis of the response of hysteretic systems to random excitations.
Numerical results are presented in which the usual exponential convergence behavior of spectral approximations is exhibited.
By these assumptions (i.e., being smooth), exponential convergence behavior of spectral approximations is exhibited in any test problem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com