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The semitone maps were compared against standard mapping in three psychoacoustic experiments with the three mappings; pitch ranking, melody contour identification (MCI) and instrument recognition.
We will give three mappings such that (Q_{T}) for each mapping matches one of Examples 9-11, respectively.
Data collected from all the three mappings was then combined into a single mapping.
The existence of common fixed points is established for three mappings where T is generalized (f, g -weakly contractive mapping -weaklynempty subset of a Banacontractive
However, in a uniformly convex Banach space, each firmly nonexpansive mapping is a ψ-firmly nonexpansive mapping, but it is not one of the above three mappings since a uniformly convex Banach space may not be smooth.
Let for all be three mappings.
We modify this condition for three mappings as follows.
There were no significant differences found between the three mappings.
No significant differences were found between all three mappings.
Let f, g, h : X → X be three mappings.
The order of testing of the three mappings was randomized.
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