Learn English – “Iterate” and “iteration” as nouns

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What are the differences between iterate and iteration as nouns?

I don't quite understand the definition of iterate as noun:

A quantity arrived at by iteration

For example, in computer programming, there are language features for iterations, such as for loop, while loop. Which one is correct: each iterate or each iteration?

I saw a lot of scientific literature use each iterate, such as this one:

Since each iterate is contained within an interval …

Best Answer

Each iteration is correct here.

Iterate as a noun means the end result of many iterations. So in an iterative function, each iteration is one loop of calculation, whereas the iterate is the sum of all iterations performed.

An important thing to note here is that iterate can also mean a function that iterates. So if you ever see the noun iterate used, test both definitions to see which makes more sense.

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