For this, assume that w ∈ X is an another common fixed point of S and T. d f z, f w 2 = d f S z, f T S w 2 ⪯ α max d f z, f S z d f S w, f T S w, d f z, f T S w d f S w, f S z + β max d f z, f S z d f S w, f S z, d f z, f T S w d f S w, f T S w 2 Thus, we have d f z, f w 2 ≤ α d f z, f w 2. Since ( 1 - α ) < 1, d f z, f w = 0 consequently provides that f z = f w.
Given that Group M only included reads that had overlapped regions, these reads consequently provided less location information.
We agree that the possibility for quantitative variability was not fully addressed and have consequently provided a more thorough explanation of this in our revised version.
The universities will collaborate on related education programing that will consequently provide access to the archives on both ends of the state.
Electrons in π bonds, however, can be promoted to higher energy levels by ultraviolet and visible light, and UV-visible spectroscopy consequently provides useful structural information for molecules that contain π bonds.
This is suggested to be due to a less-effective immune response in CLL patients that consequently provides a more permissive environment for metastases (Solomon et al, 2013).
It is the sequential order of the chemical properties of the residues that generates a particular geometry and consequently provides the "association" capacity [32], [33], [34], [35], [36].
However, Berger-Sabbatel et al. [4, 22] provided a contrary perception that DCF indeed presents pretty fine short-term fairness and consequently provides long-term fairness while short-term fairness implies long-term fairness, but not vice versa [3].
This comparison indicated that CHTFPGs provide higher strengths and consequently provide weight savings compared to IPGs.
We found that the genetic algorithm (GA) based approach detects learning styles earlier and consequently provides personalized content earlier, making the learning process easier.
