when the interval shrinks vs shrinks to certain limit

Both phrases are correct, but they are used in different contexts. 'When the interval shrinks' is used to describe a situation where the interval is getting smaller, while 'shrinks to a certain limit' is used to indicate that the interval is reducing in size until it reaches a specific point.

Last updated: March 15, 2024 • 505 views

when the interval shrinks

This phrase is correct and commonly used in English.

This phrase is used to describe a situation where the interval is getting smaller or decreasing in size.

Examples:

When the interval shrinks, the accuracy of the measurement increases.
It is important to consider what happens when the interval shrinks to a very small value.

Show examples from the web [+]

Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point. Yun-lan Gao,; Zhong Wang,; Hong-you Wu … show all 3 hide.
In [4], when the interval shrinks to a point, the behavior of the eigenvalues of a self-adjoint. Sturm-Liouville problem with a separated boundary condition was ...
In [4], when the interval shrinks to a point, the behavior of the eigenvalues of a self-adjoint. Sturm-Liouville problem with a separated boundary condition was ...
Jul 14, 2008 ... ... Limits of Sturm–Liouville eigenvalues when the interval shrinks to an ... Limits of Sturm–Liouville eigenvalues when the interval shrinks to an ...

Alternatives:

as the interval shrinks
while the interval is shrinking
as the range decreases
during the interval reduction
as the gap narrows

shrinks to certain limit

This phrase is correct and commonly used in English.

This phrase is used to indicate that the interval is reducing in size until it reaches a specific point or limit.

Examples:

The interval shrinks to a certain limit as the process continues.
The data set shrinks to a certain limit as more outliers are removed.

Alternatives:

reduces to a specific value
decreases until a certain point
diminishes to a set boundary
contracts to a defined threshold
narrows down to a particular value

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when the interval shrinks vs shrinks to certain limit