recursivelyadv.

Brit.

/rᵻˈkəːsᵻvli/, U.S.

/rəˈkərsᵻvli/,

/riˈkərsᵻvli/

Origin: Formed within English, by derivation. Etymons: recursive adj., -ly suffix².

Etymology: < recursive adj. + -ly suffix².

Mathematics, Logic, Computing, and Linguistics.

In a recursive manner; in recursive terms; by a recursive method. recursively enumerable adj. (of a set of natural numbers, or of elements corresponding to natural numbers) defined by a recursive procedure; esp. generated by a general recursive function.

ΘΚΠ

the world > time > frequency > [adverb] > repeatedly

day and nightOE

morning, noon, and nightc1325

new and newa1425

time after time?a1425

over and overa1470

toties quoties1525

again and again1533

reiteratively1619

over and over again1637

repeatedlya1647

times without number1658

to and again1659

—— in, —— out1815

time and time again1821

day in (and) day out1824

recurringly1828

repetitiously1828

recurrently1841

repetitively1872

ever and again1880

recursively1901

twenty-four hours a day1914

serially1978

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets

tantipartite1858

connected1893

measurable1901

ordered1901

well-ordered1901

null1903

empty1905

closed1909

orthonormal1928

matroid1935

recursively enumerable1936

simple1936

disjoint1937

partially ordered1941

1901 W. H. King et al. Electr. in Med. & Surg. I. v. 178 If a current on its fall excites only by means of the polarization already effected, then recursively the fall of a current of short duration having produced as yet no considerable polarization will effect no excitation.

1919 Ann. Math. 20 193 More generally, we define recursively M_p+1^{(r₁r₂...r_{p + 1})} as the I-complement of that column of M_p^{(r₁r₂...r_p)} which is headed by the element a_{1r_{p + 1}}^{(r₁r₂...r_p)}.

1934 S. C. Kleene & J. B. Rosser Gödel's Undecidable Propositions Formal Math. Syst. (typescript) 21 These are arithmetic propositions which involve only recursively defined functions.

1936 Amer. Jrnl. Math. 58 352 A set of well-formed formulas is said to be recursively enumerable if there exists a recursive infinite sequence which consists entirely of formulas of the set and contains every formula of the set at least once.

1961 Communications ACM 4 10/2 Many of the constituents of the Algol language are defined recursively.

1968 J. Lyons Introd. Theoret. Linguistics vi. 233 In subordinative constructions one modifier may be recursively ‘nested’ within another.

1970 S. Eilenberg & C. C. Elgot Recursiveness 84 The class of all recursively enumerable sets is countable.

1974 B. W. Kernighan & P. J. Plauger Elem. Programming Style iii. 54 Learning to think recursively takes some effort, but that is repaid with smaller and simpler programs.

2004 M. Potter Set Theory & its Philos. x. 174 Using the lemma we can recursively associate a closed set A , with every s in such a way that A_S^⌢0and A_S^⌢1 are both subsets of A_s , of less than half the length.

This entry has been updated (OED Third Edition, June 2009; most recently modified version published online March 2022).

单词	recursively
释义	recursivelyadv. Brit. /rᵻˈkəːsᵻvli/, U.S. /rəˈkərsᵻvli/, /riˈkərsᵻvli/ Origin: Formed within English, by derivation. Etymons: recursive adj., -ly suffix². Etymology: < recursive adj. + -ly suffix². Mathematics, Logic, Computing, and Linguistics. In a recursive manner; in recursive terms; by a recursive method. recursively enumerable adj. (of a set of natural numbers, or of elements corresponding to natural numbers) defined by a recursive procedure; esp. generated by a general recursive function. ΘΚΠ the world > time > frequency > [adverb] > repeatedly day and nightOE morning, noon, and nightc1325 new and newa1425 time after time?a1425 over and overa1470 toties quoties1525 again and again1533 reiteratively1619 over and over again1637 repeatedlya1647 times without number1658 to and again1659 —— in, —— out1815 time and time again1821 day in (and) day out1824 recurringly1828 repetitiously1828 recurrently1841 repetitively1872 ever and again1880 recursively1901 twenty-four hours a day1914 serially1978 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets tantipartite1858 connected1893 measurable1901 ordered1901 well-ordered1901 null1903 empty1905 closed1909 orthonormal1928 matroid1935 recursively enumerable1936 simple1936 disjoint1937 partially ordered1941 1901 W. H. King et al. Electr. in Med. & Surg. I. v. 178 If a current on its fall excites only by means of the polarization already effected, then recursively the fall of a current of short duration having produced as yet no considerable polarization will effect no excitation. 1919 Ann. Math. 20 193 More generally, we define recursively M_p+1^{(r₁r₂...r_{p + 1})} as the I-complement of that column of M_p^{(r₁r₂...r_p)} which is headed by the element a_{1r_{p + 1}}^{(r₁r₂...r_p)}. 1934 S. C. Kleene & J. B. Rosser Gödel's Undecidable Propositions Formal Math. Syst. (typescript) 21 These are arithmetic propositions which involve only recursively defined functions. 1936 Amer. Jrnl. Math. 58 352 A set of well-formed formulas is said to be recursively enumerable if there exists a recursive infinite sequence which consists entirely of formulas of the set and contains every formula of the set at least once. 1961 Communications ACM 4 10/2 Many of the constituents of the Algol language are defined recursively. 1968 J. Lyons Introd. Theoret. Linguistics vi. 233 In subordinative constructions one modifier may be recursively ‘nested’ within another. 1970 S. Eilenberg & C. C. Elgot Recursiveness 84 The class of all recursively enumerable sets is countable. 1974 B. W. Kernighan & P. J. Plauger Elem. Programming Style iii. 54 Learning to think recursively takes some effort, but that is repaid with smaller and simpler programs. 2004 M. Potter Set Theory & its Philos. x. 174 Using the lemma we can recursively associate a closed set A , with every s in such a way that A_S^⌢0and A_S^⌢1 are both subsets of A_s , of less than half the length. This entry has been updated (OED Third Edition, June 2009; most recently modified version published online March 2022). < adv.1901
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