| 单词 | upper bound |
| 释义 | > as lemmasupper bound Chiefly Mathematics. Any number or magnitude such that either none of a specified set of numbers exceeds it, or none is less than it; an upper or lower limit to the magnitude something can have. Frequently as upper bound, lower bound. Cf. supremum n., infimum n. ΘΚΠ the world > relative properties > number > graph or diagram > [noun] > graph > part of peak1785 flatline1867 tail1895 upper bound1917 valley1935 trough1938 skirt1940 shoulder1956 spike1961 the world > relative properties > quantity > greatness of quantity, amount, or degree > [noun] > the greatest amount or quantity > quality of being maximal > maximum maximity1651 maximum1663 outside1699 max1911 upper bound1917 ceiling1934 roof1939 1917 G. H. Hardy in Proc. Cambr. Philos. Soc. 19 92 The upper bound. 1953 H. Eves Introd. Hist. Math. xi. 336 Rules for finding an upper bound to the roots of a polynomial. 1966 A. Battersby Math. in Managem. vi. 142 The figure 108, 417 belongs to a useful class of estimates called ‘lower bounds’. We know that, whatever the final allocation may be, it cannot possibly give a lower ‘cost’ than this. 1977 Sci. Amer. Sept. 82/1 Heat generated by the vacuum tubes resulted in their having a relatively short operating life, which placed an upper bound on the size of computers. 1979 E. S. Page & L. B. Wilson Introd. Computational Combinatorics vi. 148 The quality of the bounds can also affect the amount of work in a calculation. 1986 Nature 23 Oct. 674/1 R. C. Vaughan has obtained substantial improvements to these bounds when n lies between 5 and 9. < as lemmas |
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