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The restoration and de-Dopplerization procedure is based on using a polynomial representation of the source velocity (inferred in the first instance from a radar signal).
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A detrending function using a polynomial regressor was applied to cancel out the DC shifts.
We analysed rank order categorical data using a polynomial regression model.
The best fit to the data points was obtained using a polynomial trend line.
The nonlinearly coupled equations are solved self-consistently applying a nonlinear optimization technique, which is used to optimize a polynomial representation of the radial space-charge potential.
One such approach, PRISM, constructs a polynomial representation of the chemistry evolution in a local region of chemical composition space, to be stored for later use.
Then, the main idea is to derive a polynomial representation whose coefficients or other characteristics, e.g., its zeros capture structural information of the underlying graph.
The fact that each polynomial function that fits a given set of time series of total length m has a polynomial representation in follows from a theoretical result in computer algebra.
The study of specific structural properties of graphs by using algebraic polynomial representations has been a well-known and fruitful concept for several decades [1] [6].
For further improvement, we make use of Gaussian elimination concept to perform specification polynomial reduction w.r.t Groebner basis using a matrix representation of the problem.
The background was fit using a Chebyshev polynomial and the diffraction peaks were fit using a pseudo-Voigt profile function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com