"the i-th iteration" vs "the n-th iteration"

Question

"the i-th iteration" vs "the n-th iteration"

Both phrases are correct, but they are used in different contexts. "The n-th iteration" is commonly used in mathematics, computer science, and engineering to refer to a specific iteration in a sequence, where 'n' represents any integer. On the other hand, "the i-th iteration" is also correct and is commonly used in mathematical contexts, where 'i' is often used as a variable to represent an index or iteration number.

Last Updated: March 19, 2024

This phrase is used in mathematical contexts to refer to a specific iteration, where 'i' is typically used as a variable to represent an index or iteration number.

Examples:

Let's consider the i-th iteration of the sequence.
In the i-th iteration of the algorithm, the convergence was achieved.

Alternatives:

the ith iteration
the i-th step
the i-th cycle
the i-th round
the i-th phase

This phrase is used to refer to a specific iteration in a sequence, where 'n' represents any integer. It is commonly used in mathematical contexts.

Examples:

In the n-th iteration of the algorithm, the error rate decreased significantly.
Please refer to the n-th iteration of the loop for further details.

Alternatives:

the nth iteration
the n-th step
the n-th cycle
the n-th round
the n-th phase

Answer 1

the i-th iteration

This phrase is correct and commonly used in mathematical contexts, where 'i' is often used as a variable to represent an index or iteration number.

Answer 2

the n-th iteration

This phrase is correct and commonly used in mathematics, computer science, and engineering to refer to a specific iteration in a sequence.

"the i-th iteration" vs "the n-th iteration"

the i-th iteration

the n-th iteration

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