iterate
verb
- to repeat; normally formal or archaic but used in programming and mathematics
Wiktionary
Pronunciation: /ˈɪtərət/ / /ˈɪtəɹeɪt/ / /ˈaɪtəɹeɪt/ / [ˈɪɾəɹeɪt]
adj
Etymology: The adjective is first attested in 1471, in Middle English, the verb in 1533, the noun in 1941; partly inherited from Middle English iterat(e) (adjective), partly borrowed from Latin iterātus, perfect passive participle of iterō (“to do something for a second time, repeat”) (see -ate (etymology 1, 2 and 3)) , from iterum (“again”) + -ō. Sporadical participial usage of the adjective up until Early Modern English.
- Said or done again; repeated.
“When our faith is otherwise well enough known, there needs no iterate confession, saith Baldwin, which if, as he saith, it be vain boasting rather than a Christian vertue in us to offer it, it can be no lesse than needlesse, imperious usurpation in them to call as to it.”
- Iterated.
“Therfore I beseche you brethren doe not neglect this holsome & profitable sacrament, but diligently consyder what ayde and what grace is geuen vnto you in it, & if by your necgligence & fal ye haue lost that grace, for a great part: yet it may be recouered agayne, not by a newe Confirmation, which may not be iterate, but by your inward conuersion & faythfull penaunce, and after ye bee risen and haue recouered your strength agayne, than take better hede, and do not make heauye, nor dryue not a∣way the holy ghost from you, who flieth alwaies from fained ypocrisy & wil not dwel in that body that is subiect and seruaunt to synne”
noun
Etymology: The adjective is first attested in 1471, in Middle English, the verb in 1533, the noun in 1941; partly inherited from Middle English iterat(e) (adjective), partly borrowed from Latin iterātus, perfect passive participle of iterō (“to do something for a second time, repeat”) (see -ate (etymology 1, 2 and 3)) , from iterum (“again”) + -ō. Sporadical participial usage of the adjective up until Early Modern English.
- An n-fold self-composition of a function.
“An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.”
- The image of a certain value under such a function.
“f²(x₀) is the second iterate of x₀ under f.”
verb
Etymology: The adjective is first attested in 1471, in Middle English, the verb in 1533, the noun in 1941; partly inherited from Middle English iterat(e) (adjective), partly borrowed from Latin iterātus, perfect passive participle of iterō (“to do something for a second time, repeat”) (see -ate (etymology 1, 2 and 3)) , from iterum (“again”) + -ō. Sporadical participial usage of the adjective up until Early Modern English.
- To perform or repeat an action on each item in a set.
“The max() function iterates through the data to find the highest value.”
- To perform or repeat an action on the results of each such prior action.
“In mathematics, an iterated function is a function which is composed with itself, possibly ad infinitum, in a process called iteration.”
- To utter or do a second time or many times; to repeat.
“to iterate advice”
“Nor Eve to iterate / Her former trespass feared.”
- To repeat an activity, making incremental changes each time.
“For NASA and most private aerospace companies, a single crash is a setback that can take years to recover from. SpaceX works more like a Silicon Valley startup, where the goal is to fail quickly and iterate.”