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A proof of the triangle inequality for the Tanimoto distance

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Abstract

A distance, or dissimilarity measure, can be defined based on the Tanimoto coefficient, a similarity measure widely applied to chemical structures. A new, simple proof that this distance satisfies the triangle inequality is presented.

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Lipkus, A.H. A proof of the triangle inequality for the Tanimoto distance. Journal of Mathematical Chemistry 26, 263–265 (1999). https://doi.org/10.1023/A:1019154432472

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  • DOI: https://doi.org/10.1023/A:1019154432472

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