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
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.
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.
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...
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The image of a certain value under such a function.
f²(x₀) is the second iterate of x₀ under f.
Iterated.