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in the interval vs on the interval

Both "in the interval" and "on the interval" are correct, but they are used in different contexts. "In the interval" is used when referring to a period of time or a range of values, while "on the interval" is used in mathematical contexts to specify a set of numbers or values.

Last updated: March 19, 2024 • 3558 views

in the interval

This phrase is correct and commonly used when referring to a period of time or a range of values.

Use "in the interval" when talking about a specific period of time or a range of values. It indicates that something is contained within that time frame or range.

Examples:

The event will take place in the interval between 2 p.m. and 4 p.m.
The temperature should stay in the interval of 20 to 25 degrees Celsius.
The data falls in the interval of 10 to 20.
We need to complete the project in the interval of two weeks.
The concert will be held in the interval of July and August.

Show examples from the web [+]

in the interval. star. see definition of in the interval. Font size. X. Aa. Aa. Aa. Aa. Aa. show. all, adverb. as in meantime; as in meanwhile. prev next. interim ...
The railways redeemed in 1875-1876 had been worked in the interval by the ... His kinsman, Aegisthus, who in the interval had seduced his wife Clytaemnestra, ...
where j and n are integers. Depending on the context, either endpoint may or may not be included in the interval. Dyadic intervals have the following properties :.
A space between objects, points, or units, especially when making uniform amounts of separation: We set up hurdles at intervals of 15 yards around the track. 2.

Alternatives:

during the interval
within the interval
inside the interval
over the interval
across the interval

on the interval

This phrase is correct and commonly used in mathematical contexts to specify a set of numbers or values.

Use "on the interval" when discussing mathematical intervals or ranges of values. It is used to indicate the set of numbers or values that fall within that range.

Examples:

The function is continuous on the interval [0, 1].
Find the maximum value of the function on the interval [−π, π].
The solution lies on the interval (−∞, 5].
The inequality is true on the interval (−2, 3).
The graph intersects the x-axis on the interval [−4, 2].

Show examples from the web [+]

Aug 31, 2014 ... A specific example: The two portions are equal (in/on?) the interval of 0<x<1. I personally think one should use "in" in this case, but I'm not ...
And what we want to do is we wanna figure out the average value of; our function our function F on the interval, on the closed; interval between zero and, let's ...
Use the endpoints and all critical points on the interval to test for any absolute extrema over the given interval. x=310,−1,3. Evaluate the function at x=310.
The Intermediate Value Theorem states that, if is a real-valued continuous function on the interval and is a number between and then there is a contained in the ...

Alternatives:

over the interval
across the interval
for the interval
within the interval
throughout the interval

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