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Quasi-metrics, Similarities and Searches: aspects of geometry of protein datasets
[article]
2008
arXiv
pre-print
A quasi-metric is a distance function which satisfies the triangle inequality but is not symmetric: it can be thought of as an asymmetric metric. The central result of this thesis, developed in Chapter 3, is that a natural correspondence exists between similarity measures between biological (nucleotide or protein) sequences and quasi-metrics. Chapter 2 presents basic concepts of the theory of quasi-metric spaces and introduces a new examples of them: the universal countable rational
arXiv:0810.5407v1
fatcat:k2mb4lcdebepzid4wtjvf24t2i