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单词 max-min
释义

max-minadj.n.

Brit. /ˈmaksˌmɪn/, U.S. /ˈˌmæksˈˌmɪn/
Origin: Formed within English, by compounding; perhaps modelled on a German lexical item. Etymons: maximum n., minimum n.
Etymology: < max- (in maximum n.) + min- (in minimum n.), after Min-Max (see quot. 1944 at min-max adj.) or German Max Min (see quot. 1928 at sense A.). Compare maximin adj. and n.
A. adj. (attributive).
That depends on, relates to, or is concerned with maximum and minimum values; spec. = maximin adj.
ΘΚΠ
the world > relative properties > number > mathematics > [adjective] > relating to mathematical property
simple1570
dissevered1605
periodicala1690
irreductible1753
analytical1799
analytic1800
compound1806
well-conditioned1843
one-valued1884
non-empty1905
well-behaved1912
minimax1917
irredundant1925
non-linear1930
constructive1938
extremal1939
max-min1949
meta-analytic1968
meta-analytic1978
1928 J. von Neumann in Mathematische Annalen C. 307 (heading) Beweis des Satzes Max Min = Min Max.]
1949 Bell Syst. Techn. Jrnl. 28 704 A ‘max min’ type of problem.
1955 Q. Jrnl. Econ. 69 103 Max-min Rule. Assume that whatever alternative is chosen, the worst possible outcome will ensue.
1961 Which? Nov. 277 (caption) Max-min speed switch.
1994 Proc. IEEE Internat. Conf. Neural Networks 7 4273 The FAM introduced by Kosko, which involves Max-Min composition units, is one of the most useful and important paradigms.
B. n.
The largest of a set of minima; a maximin strategy or value. Cf. min-max n.
ΚΠ
1950 Amer. Math. Monthly 57 511 The main theorem for such games is that there always exist optimal strategies for the two players, a strategy for the one player that maximizes his minimum expectation, and a strategy for the second player that minimizes his maximum risk, the max-min equaling the min-max.
1952 J. C. C. McKinsey Introd. Theory Games i. 19 Find the max min and min max of the two-finger Morra.
1991 Trans. Amer. Math. Soc. 325 492 The ‘max-min’..is achieved for Fi := span{ϕ1.., ϕi} and u := ϕi.

Compounds

max-min thermometer n. = maximum-minimum thermometer n. at maximum n., adj., and adv. Compounds 2.
ΚΠ
1962 Ecology 43 543 Differences between the psychometric dry bulb thermometer and the max-min thermometer inside the shelter are sometimes relatively great.
1985 Gardening from Which? Dec. 388 (heading) Max/Min thermometer.
1990 Garden Answers Nov. 67/2 (advt.) A Max-Min thermometer is used all the year round, allowing you to keep an eye on the peaks of heat and depths of cold.
This is a new entry (OED Third Edition, March 2001; most recently modified version published online March 2022).
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adj.n.1949
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