the interval corresponds to vs the interval corresponding to

Both phrases are correct, but they are used in different contexts. 'The interval corresponds to' is used when stating that one thing is equivalent to or matches another. 'The interval corresponding to' is used when introducing the interval that matches a specific condition or requirement.

Last updated: March 19, 2024 • 1000 views

This phrase is correct and commonly used in English.

"the interval corresponds to "

This phrase is used to indicate that one thing is equivalent to or matches another. It is often used in mathematical or scientific contexts.

Examples:

The interval corresponds to the range of values between 0 and 10.
The data points on the graph correspond to the experimental results.

Show examples from the web [+]

Jan 14, 2014 ... Note that the interval corresponds to taking y = 0 (i.e. no sides to the fence) and y = 250 (i.e. only two sides and no width, also if there are two ...
Instead of searching the entire time period of interest, we must first find a time period where one end of the interval corresponds to an elevation above the ...
The second tone of the interval corresponds to one of the colored keys. Press the first key and then the second key of the interval. The progress bar above the ...
Jul 31, 2012 ... ... bar multiplied by the width of the interval corresponds to the relative frequency of the interval). The appearance of a histogram can depend on ...

Alternatives:

the interval matches
the interval is equivalent to
the interval is in line with

This phrase is correct and commonly used in English.

"the interval corresponding to "

This phrase is used to introduce the interval that matches a specific condition or requirement. It is often followed by a description of the condition or requirement.

Examples:

The interval corresponding to the solution set is between -5 and 5.
The time interval corresponding to the peak activity is from 9 a.m. to 12 p.m.

Show examples from the web [+]

For example, the interval corresponding to the inequality -1 ≤ b < 4 would be [-1, 4). The interval corresponding to the function f(x) = x-½ would be (0, + ) . Infinite ...
For a 95% confidence interval, we want the interval corresponding to the middle 95% of the normal curve. For a 90% confidence interval, we want the interval ...
If the value of the interval corresponding to two events is zero then we say that the interval is light-like, because only something traveling at the speed of light ...
intervals of F with x < y just when the interval corresponding to x lies entirely to the left of the interval corresponding to y. Partially ordered sets arising in this.

Alternatives:

the interval that matches
the interval that satisfies
the interval that fulfills

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the interval corresponds to vs the interval corresponding to