iterate

verb

1. To perform or repeat an action on each item in a set.

   “The max() function iterates through the data to find the highest value.”

2. 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.”

3. (archaic, transitive)To utter or do a second time or many times; to repeat.

   “to iterate advice”

   “Nor Eve to iterate / Her former trespass feared.”

   “"Where's your money?" Jack exclaimed, hoarsely, in a well-feigned voice. "Ah! where's the rowdy?" iterated Clayton, in a tone it was impossible to conceal.”

4. (ambitransitive)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.”

noun

1. 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.”

2. The image of a certain value under such a function.

   “f²(x₀) is the second iterate of x₀ under f.”

adj

1. (not-comparable, obsolete)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.”

2. (not-comparable, obsolete)Iterated.