The difference between Half-open interval and Interval
When used as nouns, half-open interval means an interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both, whereas interval means a distance in space.
check bellow for the other definitions of Half-open interval and Interval
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Half-open interval as a noun (mathematics):
An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both.
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Interval as a noun:
A distance in space.
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Interval as a noun:
A period of time.
Examples:
"the interval between contractions during childbirth"
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Interval as a noun (music):
The difference (a ratio or logarithmic measure) in pitch between two notes, often referring to those two pitches themselves (otherwise known as a dyad).
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Interval as a noun (mathematics):
A connected section of the real line which may be empty or have a length of zero.
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Interval as a noun (chiefly, British):
An intermission.
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Interval as a noun (sports):
half time, a scheduled intermission between the periods of play
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Interval as a noun (cricket):
Either of the two breaks, at lunch and tea, between the three sessions of a day's play