单词 | triangle inequality |
释义 | > as lemmastriangle inequality triangle inequality n. Mathematics the statement that the modulus of the sum of two quantities is less than or equal to the sum of their moduli; (so called from the analogy with the distances between the vertices of a triangle). ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > inequality inequation1855 inequality1875 Minkowski inequality1932 triangle inequality1941 Cauchy–Schwarz inequality1956 ultrametric inequality1967 1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra vii. 183 In any Euclidian vector space, length has the following properties:..|ξ + η| ≦ |ξ| + |η| (the triangle inequality). 1972 M. Kline Math. Thought xlvi. 1083 Schwarz's inequality and the triangle inequality are proved for the norm. < as lemmas |
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