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The analysis of the output signals presented in this article confirms that semitone mapping preserves well the harmonic structure of synthetic harmonic musical tones [36].
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Therefore, our mapping preserves the distance between the concepts.
The mapping preserves the default behaviour of RDR rules.
The evidence doesn't preserve well.
The depth perception of important content is preserved well.
The map preserves atom types The total bond orders (including lone electron pairs) are preserved.
This map preserves the topology of cortex in that it does not allow folding.
To quantify the quality of 2D ordination we looked at how well the 2D map preserved pairwise differences between points in the original 33D space, using the squared correlation coefficient R between 2D and 33D distances as an output measure (Pedhazur, 1982).
In this paper we characterize all linear maps preserving from to and all linear maps preserving or from to.
Then linear maps preserving lgw-majorization or gs-majorization and linear maps, preserving rgw-majorization are characterized.
Thus the mapping f preserves edges.
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