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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 Mp+1(r1r2...rp + 1) as the I-complement of that column of Mp(r1r2...rp) which is headed by the element a1rp + 1(r1r2...rp).
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 AS0and AS1 are both subsets of As , of less than half the length.
This entry has been updated (OED Third Edition, June 2009; most recently modified version published online March 2022).
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adv.1901
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