In this paper, we obtain a sufficient condition for a normalized quasiregular mapping to be extended to a quasiconformal homeomorphism of onto itself.
More precisely, it is sufficient to consider only normalized CSP vectors on the (C−1 -dimensional hypersphere (C−1 -dimensional
No sufficient visual analysis of the normalized CBF, CBV, MTT and TTP perfusion maps was possible in the unprocessed ULD BPCT datasets (Figure 3).
As the instrumental design relies on a ratio of signals, or normalized difference, the DA is sufficient in this case.
Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function are obtained so that either or.
Two conditions each sufficient to guarantee this behaviour are: (i) that the normalized once-through residence-time density functions become independent of the recycle rate for recycle rates in excess of some finite value; or (ii) that the moments of all orders of the normalized density functions are bounded.
To objectively classify which spectra lacked sufficient signal for analysis, we inspected the spectra's normalized intensity at 500 nm.
Since there exist seven system states, it is sufficient to select six independent balance equations and the normalized equation from (3) to obtain the seven steady state probabilities.
In the present paper we obtain generalized sufficient conditions for the starlikeness and convexity of some normalized analytic functions; the results extend those recently obtained in the work of Uyanik and Owa (J. Inequal. Appl. 2011 87, 2011).
Furthermore, when comparing NPPB levels between failed and non-failed myocardium, removal of the least stable gene, RNPS1, impacted minimally on normalized NPPB levels, suggesting that TPT1 and EEF1A1 may be sufficient for normalization.
