integer-length interval vs it is of integer length

Both phrases are correct, but they are used in different contexts. 'Integer-length interval' is used to describe an interval with a length that is an integer, while 'it is of integer length' is used to describe a general object or concept that has a length expressed as an integer.

Last updated: March 17, 2024 • 583 views

integer-length interval

This phrase is correct and commonly used in mathematics to describe an interval with a length that is an integer.

This phrase is used in mathematics to refer to an interval where the difference between the endpoints is an integer.

Examples:

The set of all integer-length intervals on the number line forms a discrete set.
An integer-length interval can be represented as [a, a+n] where n is an integer.

Show examples from the web [+]

Jan 5, 2009 ... to a shorter integer-length interval, the function will no longer maintain its orthogonality to other trun- cated functions. The scaling vectors shown ...

it is of integer length

This phrase is correct and can be used to describe a general object or concept that has a length expressed as an integer.

This phrase is used to describe something that has a length expressed as an integer, without specifying the type of object or context.

Examples:

The rope is of integer length, measuring exactly 5 meters.
The duration of the movie is of integer length, running for 2 hours.

Show examples from the web [+]

8 0 0 0 /3 is a translation, and as it is of integer length, it is an iterate of ,2; therefore 8 can be generated by o 0 /3 and ,2. We argue similarly in the case of glide.

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integer-length interval vs it is of integer length