to a certain limit vs The interval [l, H)

These two phrases are not directly comparable as they convey different meanings. 'To a certain limit' implies a restriction or boundary, while 'the interval [l, h)' refers to a mathematical range between two values. Therefore, the choice between them depends on the context in which they are used.

Last updated: March 17, 2024

to a certain limit

This phrase is correct and commonly used in English to indicate a specific boundary or restriction.

This phrase is used to express a restriction or boundary that exists up to a specific point. It implies that there is a limit beyond which something cannot go.

Examples:

We can push the budget to a certain limit, but we cannot exceed it.
His patience was tested to a certain limit before he lost his temper.

Show examples from the web [+]

Aug 11, 2015 ... Target killing has been controlled to a certain limit. ARY NEWS. by ARY NEWS. Follow 10.9K. 3 views. About; Export; Add to. No description ...
Watch Target killing has been controlled to a certain limit 2015. Capture date : 01/ 01/1970; Publication date : 08/11/2015; Duration : 01:11; Category : News ...
Aug 12, 2015 ... Target killing has been controlled to a certain limit. likes.pk ... Target killing has been controlled to a certain limit · 01:58 ...
Some companies will provide a straight match, up to a certain limit – rather than matching 50% of employee contributions, they will match 100% of employee ...

Alternatives:

up to a certain point
to a certain extent
within a certain range
until a certain threshold
to a specific boundary

The interval [l, H)

This phrase is correct, especially in mathematical contexts, to denote a range of values between two points where the lower limit is inclusive and the upper limit is exclusive.

This phrase is commonly used in mathematics to represent a range of values between a lower limit (l) and an upper limit (h), where the lower limit is included in the interval but the upper limit is not.

Examples:

The function is continuous over the interval [0, 1).
The solution lies within the interval [10, 20).

Show examples from the web [+]

You want to pick as few as possible technologies that together cover the interval [ L, H]. Candidate Greedy Strategy I: First, buy the technology that covers the.
NOTE 2: THE p-BEAUTY CONTEST DECIMAL GAME. Consider now a p-BCG in the interval [l,h] where players are allowed to choose among decimal numbers ...
The output is composed of the happy numbers that lie in the interval [L, H], together with the number of iterations required for the corresponding sequences of ...
submodule lattices are isomorphic to the interval [l,h] were constructed by Fuchs 13, Example 51, Pierce [7, Theorem 2.11, and the author i7, footnote, pzge 1321 ...

Alternatives:

the range [l, h)
the closed-open interval [l, h)
the half-open interval [l, h)
the interval (l, h)
the interval [l, h]

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to a certain limit vs The interval [l, H)