Affiliation:
1. IQCC University of Girona , 17003 Girona , Catalonia , Spain
Abstract
Abstract
In this study, the dimension or dimensionality paradox is defined and discussed in a dedicated context. This paradox appears when discrete vector representations of the elements of a molecular set are constructed employing several descriptor parameters, adopting specific values for each molecule. The dimension paradox consists in that when constructing discrete N-dimensional molecular vectors, the primal structure of the attached molecular set, chosen as a collection of different objects, cannot be well-defined if the number of descriptors N and the number of molecules M do not bear a convenient relation like:
N
≥
M
$N\ge M$
. This has implications for the linear independence of the vectors connected with each molecule.
Subject
General Chemical Engineering,General Chemistry
Cited by
3 articles.
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