iteration

[ it-uh-rey-shuh n ]

/ ˌɪt əˈreɪ ʃən /

the act of repeating; a repetition.

Mathematics.

Also called successive approximation. a problem-solving or computational method in which a succession of approximations, each building on the one preceding, is used to achieve a desired degree of accuracy.
an instance of the use of this method.

Computers.

a repetition of a statement or statements in a program.
a different version of an existing data set, software program, hardware device, etc.: A new iteration of the data will be released next month.

a different form or version of something: He designed the previous iteration of our logo.

Origin of iteration

1425–75; late Middle English < Latin iterātiōn-, stem of iterātiō; see iterate, -ion

Now Carter and Knight are in their third iteration of a boy band, of sorts.

'Nick & Knight': Nick Carter and Jordan Knight Are Your New Boy Band Power Couple |Kevin Fallon |September 4, 2014 |DAILY BEAST
During the Iranian iteration, one event allowed customers to congregate with a local dining in Iran.

Eating With The Enemy: Conflict Kitchen’s Political Cuisine |Justin Jones |July 30, 2014 |DAILY BEAST
They began throwing up any iteration of a talent competition they could think of—who remembers Celebrity Duets?

7 Ways ‘American Idol’ Revolutionized TV |Kevin Fallon |January 14, 2014 |DAILY BEAST
Cole noted that “the first iteration was surprisingly delicious, but skewed a little red hot cinnamon,” said Cole.

The Appeal of Cinnabon Vodka and the Rise of Flavored Vodkas |Daniel Gross |November 22, 2013 |DAILY BEAST

Much of this iteration of the Man of Steel borrows from the comic books for relevance.

‘Man of Steel’ Is Fun to Watch, But It’s Still a Failure. Here’s Why. |Sujay Kumar |June 15, 2013 |DAILY BEAST
Let us, at risk of some iteration, consider some of these combustible elements.

Demonology and Devil-lore |Moncure Daniel Conway
Their agents on the spot preached peace (where there was no peace, and no pretence of it) with eloquence and iteration.

The Works of Robert Louis Stevenson - Swanston Edition Vol. 17 (of 25) |Robert Louis Stevenson
At the risk of iteration, I again urge constant mingling with people.

The Young Man and the World |Albert J. Beveridge
Be not led astray by iteration—mistake not the familiar for the intelligible.

A Logic Of Facts |George Jacob Holyoake
Again, with anything but “damnable” iteration, does Shakespeare revert to it before the close of this very scene.

A Study of Shakespeare |Algernon Charles Swinburne