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Each group, identified as a unique mass class (UMC), was characterized as having a distinctive median mass, central normalized elution time (NET), and abundance estimate, calculated as the sum of the intensities for the MS peaks of that UMC.
Six genes could be considered highly central (normalized betweenness > 1): TGFB1, CSF1, TLR2, CEBPA, LGALS3 and STAT3.
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For a frequency band with central frequency the normalized cross-correlation coefficient between the th and th hydrophones is defined as [9] (23).
In [19], the authors obtained the existence of collision-free parabolic orbits for a Newtonian n-body problem starting from any initial configuration and asymptotic to every minimizing normalized central configuration.
The first normalized central moment is: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0017293.e018.PNG" class= inline-graphic"/> Because the first central moment is zero, we start with the second normalized central moment.
The final group of parameters that we include in the natural vector are composed of normalized central moments.
Let us first introduce the definition of normalized central moments which is the most important part of natural vector method.
The simulated sequence contains 2345 A, 2761 C, 2544 G and 2350 T. For adenines, <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0017293.e037.PNG" class= inline-graphic"/>, i.e., higher normalized central moments starting from 4th moment will converge to 0. We have used natural vector to obtain a good numerical characterization of DNA sequence.
Specifically, these features include normalized central moments, Hu moments, and Zernike moments.
(DOCX 19 kb) Additional file 2: Results: related variables of each subset of patients based on normalized central venous oxygen saturation (ScvO 2 ) (70%%) and critical peripheral perfusion index (PI) (0.6) at 8 h (T8).
Our main results on the self-normalized central limit theorem will be given in Section "Main results", where the process of the self-normalized partial sums ({S_{[nt]}}/{sqrt {V_{n}}}) is proved to converge to a self-normalized G-Brownian motion ({W_{t}}/{sqrt {langle Wrangle _{1}}}).
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