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The resulting image is inverse Fourier transform, yielding I e (x, y) in spatial space.
(15) Z is symmetric and can be diagonalized with an orthogonal transform, yielding mode impedances.
Our particular focus is on isotropic media where we show that kernels can be obtained using Fourier Bessel transform, yielding axisymmetric kernel profiles in reciprocal and real spaces.
It should be emphasized that, in the quasi-Newton algorithm, all IDFT calculation can be implemented by fast Fourier transform, yielding significant efficiency improvement.
where DFT−1 denotes the inverse discrete Fourier transform yielding a nonzero update contribution of the same length as the demixing filter length N. ∂ J C W W — ) ∂ W — H is already given in (20).
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In consequence of the electrochemical treatment graphite was fully transformed yielding GO.
The resulting filtered image is inverse Fourier transformed, yielding amplitude and phase of the sample.
Read counts of the libraries were normalized using the Upper-Quartile Normalization method [ 19], and were then loge (ln) transformed, yielding transformed normalized counts.
For combined analysis of receptor status and proliferation, normalized metabolic data were natural log transformed yielding a symmetric distribution of the data about the mean.
In order to normalize the data, transcript cluster counts were divided by the median transcript cluster count for that sample, and logarithm base 10 transformed, yielding transformed, normalized counts.
The instrument also consists of two summary scores, physical and psychosocial, constructed from factor analyses of ten different sub-scales, and standardized based on means and standard deviation (SD) from a combined US population and linearly transformed, yielding a mean score of 50 and a SD of 10.
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