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The regions between the averages (av1 and av2) and the closest extrema are connected using a polynomial function, to guarantee continuity and differentiability.
This immediately implies the identifiability of parameters in many mixture models using a polynomial number of samples.
In our case, the observed correlation between expression level and variance (Kendall's rank correlation test τ = 0.887, P value <2.2 × 10−16) was removed when using a polynomial regression of the third degree to estimate log (σ2).
The background was fit using a Chebyshev polynomial and the diffraction peaks were fit using a pseudo-Voigt profile function.
Using a simple polynomial trend analysis, the model tracks Tiger Woods' performance (tournament placement) against the Dow.
The results, including tumor blood flow measured by positron emission tomography, were analyzed using a quadratic polynomial model.
I have made hundreds of monotypes and monoprints (using a matrix).
Decomposition methods try to approximate the expression matrix using a product of smaller matrices.
Typically, this search is performed using a position-specific scoring matrix (PSSM), also known as a position weight matrix.
HOW to use a 2x2 matrix?
Figure 3.11: FDN using a Householder-reflection feedback matrix.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com