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the number of operations required to vs how narrow the interval it is

These two phrases are not directly comparable as they serve different purposes. The first phrase is a complete fragment referring to the quantity of operations required, while the second phrase seems incomplete and lacks context. They are not interchangeable in any context.

Last updated: March 17, 2024 • 511 views

the number of operations required to

This phrase is correct and commonly used in English to refer to the quantity of operations needed to complete a task.

This phrase is used to specify the quantity of operations needed to achieve a certain goal or complete a task.
  • Nov 7, 2014 ... For each case, the number of operations required to accomplish the breast reconstruction was recorded. Bilateral reconstruction was separated ...
  • ... number of digits of the primes being factored increases, the number of operations required to perform the factorization on any computer increases drastically.
  • is to determine the number of operations required to find the solution. We first look at the number of operations required to multiply a vector by a matrix, then to  ...
  • suggested that the number of operations required to treat peripheral arterial disease could be redud by combining. PTA with surgery. Doubilet and Abrams' used ...

how narrow the interval it is

This phrase seems incomplete and lacks context. It is not a common or correct construction in English.

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