different between iterate vs expansivity

English

Etymology

From Latin iter? (“do it for a second time, repeat”), from iterum (“again”), akin to is (“he, that”).

Pronunciation

• IPA^(key): /??t??e?t/, /?a?t??e?t/

Verb

iterate (third-person singular simple present iterates, present participle iterating, simple past and past participle iterated)

1. (computing) to perform or repeat an action on each item in a set

2. (computing, mathematics) to perform or repeat an action on the results of each such prior action

3. (transitive, archaic) To utter or do a second time or many times; to repeat.
4. (design, transitive, intransitive) To repeat an activity, making incremental changes each time

Synonyms

• (to repeat): reiterate; see also Thesaurus:reiterate

Translations

Noun

iterate (plural iterates)

1. (mathematics) a function that iterates

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

   • 2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras (page 8)

     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.

Derived terms

• reiterate
• iterative
• iterator

Adjective

iterate (not comparable)

1. (obsolete) Said or done again; repeated.

   (Can we find and add a quotation of Bishop Gardiner to this entry?)

Synonyms

• See Thesaurus:repeated

Further reading

• iterate in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• iterate in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• iterate at OneLook Dictionary Search

Anagrams

• ariette

Italian

Verb

iterate

1. second-person plural present indicative of iterare
2. second-person plural imperative of iterare
3. feminine plural of iterato

Latin

Verb

iter?te

1. second-person plural present active imperative of iter?

English

Etymology

expansive +? -ity

Noun

expansivity (usually uncountable, plural expansivities)

1. expansiveness
2. (mathematics) The formal notion of points moving away from one another under the action of an iterated function.