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Next, project onto and to obtain the projection coefficients as and, respectively.
Finally, the projection coefficients can be solved by combining the two arrays.
Then the low-rate high-resolution analog-to-digital convertors (ADCs) are used to sample the projection coefficients.
The calculation of projection coefficients is the key step of algebraic reconstruction, which has crucial effect on the reconstructed quality and speed.
Otherwise, a set of pseudo parameters corresponding to the detected dimensionality of the data set are taken from learning the manifolds of the projection coefficients.
When the parameters of the RVE snapshot are known a priori, the geometry and topology of individual phases of a parameterized snapshot is given by a series of response surfaces of the projection coefficients in terms of these parameters.
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Firstly, an array is used to store the projection coefficient value under different intersections of grids and ray.
The result is a quite accurate estimation of the real and imaginary parts of the projection coefficient ( {c}_{x,y}^{j_{max }} ).
The projection coefficient of the residual r k over the conjugate subspace span {g, g*}, α k, is obtained by α k = 1 1 - | c | 2 ( < g, r k > - c < g, r k > * ), (5).
We then identified the loci contributing to the linked PSFs, by Z transforming the PSFs' projection coefficient or source (removing the mean and dividing by the standard deviation), and selecting the loci with Z score higher than an empirical threshold (4 for SNPs, and 6 for methylation based on a subjectively observed break point in the Z score distribution).
Figure 10 Projection of the coefficients z( t ) on the first eigen modes, and comparison with the K p index.
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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