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 • 583 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.

Show examples from the web [+]

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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divides a unit interval vs divides the unit interval