A simple proof of the triangle inequality for the NTV metric
Dress A, Lokot T (2003)
Applied Mathematics Letters 16(6): 809-813.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Abstract / Bemerkung
We study a certain metric d on R-n that was recently introduced by Nieto, Torres and Vazquez-Trasande [1], give a simple proof for the triangle inequality, and describe when exactly d(p, q) = d(p, r) + d(r, q) holds for some p, q, r is an element of R-n. Remarkably, one has d(p, q) = 2 for some p, q is an element of R-n if and only if 0 = p + q not equal p holds, in which case, one has also d(p, q) = d(p, r) + d(r, q) for all r is an element of R. (C) 2003 Elsevier Science Ltd. All rights reserved.
Stichworte
triangle inequality;
geodesics;
fuzzy;
polynucleotides;
metrics;
NTV-metric
Erscheinungsjahr
2003
Zeitschriftentitel
Applied Mathematics Letters
Band
16
Ausgabe
6
Seite(n)
809-813
ISSN
0893-9659
Page URI
https://pub.uni-bielefeld.de/record/1610306
Zitieren
Dress A, Lokot T. A simple proof of the triangle inequality for the NTV metric. Applied Mathematics Letters. 2003;16(6):809-813.
Dress, A., & Lokot, T. (2003). A simple proof of the triangle inequality for the NTV metric. Applied Mathematics Letters, 16(6), 809-813. https://doi.org/10.1016/S0893-9659(03)90000-0
Dress, Andreas, and Lokot, Tatiana. 2003. “A simple proof of the triangle inequality for the NTV metric”. Applied Mathematics Letters 16 (6): 809-813.
Dress, A., and Lokot, T. (2003). A simple proof of the triangle inequality for the NTV metric. Applied Mathematics Letters 16, 809-813.
Dress, A., & Lokot, T., 2003. A simple proof of the triangle inequality for the NTV metric. Applied Mathematics Letters, 16(6), p 809-813.
A. Dress and T. Lokot, “A simple proof of the triangle inequality for the NTV metric”, Applied Mathematics Letters, vol. 16, 2003, pp. 809-813.
Dress, A., Lokot, T.: A simple proof of the triangle inequality for the NTV metric. Applied Mathematics Letters. 16, 809-813 (2003).
Dress, Andreas, and Lokot, Tatiana. “A simple proof of the triangle inequality for the NTV metric”. Applied Mathematics Letters 16.6 (2003): 809-813.
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