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Exact(5)
where the K function is defined in Appendix 3. The influence of the covariance to the fluctuations will be discussed in the next section.
Solving the integral in (70), C avg 1 is obtained as (53).To solve C avg 2, we set Y=Z/g32, where Z is a RV and is defined in Appendix 33, and the CDF of RV Y is given as F Y ( x ) = Pr Z g 32 < x = Pr Z < x g 32 = ∫ 0 ∞ f g 32 ( y ) × F Z ( xy ) dy (71).
The PLF is a measure of phase synchrony between two digitally sampled signals that is derived from the discrete Hilbert transform and is defined in appendix D. By assuming that the resulting 19 × 19 matrices of PLF factors, M x,y -- where x is the frequency band and y the subject identifier-could be interpreted as a Pearson correlation matrix, a directed graph was then inferred as follows.
The Medline search is defined in Appendix.
For mature males, we calculated their irreversible mass as W i /(1 + ρA), where ρA is defined in Appendix C. For the regression analysis, the irreversible masses of immature and mature individuals of both sexes were pooled, yielding a total sample of 793 individuals.
Similar(55)
and has been defined in Appendix A.2.
where D ij are defined in Appendix.
where the auxiliary W variables are defined in Appendix C.1.
where J2 b,q,t1), and J3 b,q,t1) are defined in Appendix 2. 11671_2011_787_MOESM1_ESM.PDF Additional file 1 Supplementary information.
The elastic constants for this saturated sandstone are defined in Appendix.
where the Q variables are defined in Appendix A. Notice the dependence on T ( h ) variables is hidden in Q terms.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com