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divides a unit interval vs divides the unit interval

Both phrases are correct, but they are used in slightly different contexts. "Divides a unit interval" is used when discussing a general case or multiple instances of dividing unit intervals, while "divides the unit interval" is used when referring to a specific unit interval that is being divided.

Last updated: March 17, 2024 • 548 views

divides a unit interval

This phrase is correct and commonly used when discussing a general case or multiple instances of dividing unit intervals.

This phrase is used when talking about the action of dividing any unit interval into smaller parts without specifying a particular unit interval.

Examples:

  • The algorithm divides a unit interval into equal segments.
  • Each participant divides a unit interval differently based on their strategy.

Alternatives:

  • divides unit intervals
  • divides intervals of unit length
  • divides unit segments
  • divides the intervals
  • divides the segments

divides the unit interval

This phrase is correct and commonly used when referring to a specific unit interval that is being divided.

This phrase is used when talking about the action of dividing a particular unit interval into smaller parts, specifying the unit interval being divided.

Examples:

  • The function divides the unit interval [0, 1] into three equal parts.
  • The experiment divides the unit interval into subintervals of varying lengths.
  • Mar 23, 2012 ... Then X divides the unit interval [0,1] into two parts. Let Y ≥ 1 be the ratio of the longer part to the shorter part. (a) Find P(Y ≤ 2). Solution:.
  • Mar 23, 2012 ... Then X divides the unit interval [0,1] into two parts. Let Y ≥ 1 be the ratio of the longer part to the shorter part. (a) Find P(Y ≤ 2). (b) Find the ...
  • By lemma 4.5, a FGCE divides the unit interval up into fractions with denominators of P(i) = x1*x2*...*xi for a given i, and a/b is a fraction of such a form . Therefore ...
  • If one divides the unit interval into 10 equally sized nonoverlapping subintervals, a trajectory of the system is encoded as a series of integers from 0 to 9, where ...

Alternatives:

  • divides that unit interval
  • divides this unit interval
  • divides a specific unit interval
  • divides unit intervals
  • divides intervals of unit length

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