supremumn.

Brit.

/sᵿˈpriːməm/,

/sjᵿˈpriːməm/, U.S.

/səˈpriməm/,

/suˈpriməm/

Origin: A borrowing from Latin; probably modelled on a German lexical item. Etymons: Latin suprēmum, suprēmus.

Etymology: < classical Latin suprēmum, neuter of suprēmus highest (see supreme adj. and n.), probably after German Supremum (1927 or earlier).

Mathematics.

The smallest number that is greater than or equal to each of a given set of real numbers; an analogous quantity for a subset of any other ordered set. Abbreviated sup. Contrasted with infimum n.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of

interval1838

identity1894

identity element1902

complement1937

supremum1938

infimum1940

sup1940

equivalence class1952

1938 Bull. Amer. Math. Soc. 44 299 Being continous, R(ϕ) attains its supremum.

1949 S. Lefschetz Introd. Topol. i. 27 We shall also use on occasion the supremum and infimum of a nonvoid set A of real numbers, written sup A, inf A.

1971 G. Hadley & M. C. Kemp Variational Methods in Econ. ii. 53 We now define U* as the supremum of levels of utility which can be maintained indefinitely.

2002 Biometrika 89 864 A different definition arises if we take infimum instead of supremum, but both will have the same partial influence functions.

This entry has been updated (OED Third Edition, June 2012; most recently modified version published online March 2022).

单词	supremum
释义	supremumn. Brit. /sᵿˈpriːməm/, /sjᵿˈpriːməm/, U.S. /səˈpriməm/, /suˈpriməm/ Origin: A borrowing from Latin; probably modelled on a German lexical item. Etymons: Latin suprēmum, suprēmus. Etymology: < classical Latin suprēmum, neuter of suprēmus highest (see supreme adj. and n.), probably after German Supremum (1927 or earlier). Mathematics. The smallest number that is greater than or equal to each of a given set of real numbers; an analogous quantity for a subset of any other ordered set. Abbreviated sup. Contrasted with infimum n. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of interval1838 identity1894 identity element1902 complement1937 supremum1938 infimum1940 sup1940 equivalence class1952 1938 Bull. Amer. Math. Soc. 44 299 Being continous, R(ϕ) attains its supremum. 1949 S. Lefschetz Introd. Topol. i. 27 We shall also use on occasion the supremum and infimum of a nonvoid set A of real numbers, written sup A, inf A. 1971 G. Hadley & M. C. Kemp Variational Methods in Econ. ii. 53 We now define U* as the supremum of levels of utility which can be maintained indefinitely. 2002 Biometrika 89 864 A different definition arises if we take infimum instead of supremum, but both will have the same partial influence functions. This entry has been updated (OED Third Edition, June 2012; most recently modified version published online March 2022). < n.1938
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