A simple proof of the triangle inequality for the NTV metric

DOI10.1016/S0893-9659(03)90000-0zbMath1045.51006OpenAlexW2071569591MaRDI QIDQ1431819

Tatjana Lokot, Andreas W. M. Dress

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90000-0

zbMATH Keywords

metricsGeodesicsFuzzy polynucleotidesNTV-metricTriangle inequality

Mathematics Subject Classification ID

Inequalities and extremum problems in real or complex geometry (51M16) Synthetic differential geometry (51K10)

Related Items (5)

Use of fuzzy clustering technique and matrices to classify amino acids and its impact to Chou's pseudo amino acid composition ⋮ An extension of fuzzy topological approach for comparison of genetic sequences ⋮ A simple proof of the triangle inequality for the NTV metric ⋮ A study of entropy/clarity of genetic sequences using metric spaces and fuzzy sets ⋮ A new scale-invariant geometry on \(L_ 1\) spaces.

Cites Work

• A simple proof of the triangle inequality for the NTV metric
• A metric space to study differences between polynucleotides

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