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单词 triangle inequality
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triangle 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).
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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.
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