| 单词 | ultrametric inequality |
| 释义 | > as lemmasultrametric inequality Of a metric: satisfying the ultrametric inequality, which states that the distance between two points as defined by this metric must be less than or equal to the greater of the two distances between either of these points and any third point; of or pertaining to such a metric. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > inequality inequation1855 inequality1875 Minkowski inequality1932 triangle inequality1941 Cauchy–Schwarz inequality1956 ultrametric inequality1967 the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to inequalities ultrametric1967 1967 J. A. Hartigan in Jrnl. Amer. Statist. Assoc. 62 1141 Johnson..considers the idea of a distance function satisfying the ‘ultrametric’ inequality, which is equivalent to a similarity matrix with exact structure. 1967 Math. Biosciences I. 175 A 1-metric space is usually called a metric space and a 0-metric space an ultrametric space. 1972 Computer Jrnl. 15 212/1 The only consistent difference is between the ultrametric data-sets D, E, and F versus the non-ultrametric sets A, B, and C, with the ultrametrics faring somewhat better on the whole. 1988 Lit. & Ling. Computing 3 125/1 The tree representation model most widely applied to the structuring of large bodies of data is based on the use of ultrametric trees or dendrograms. 1988 Lit. & Ling. Computing 3 125/1 The ultrametric model has some advantages. < as lemmas |
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