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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
the pace at which
Grammar usage guide and real-world examplesUSAGE SUMMARY
"the pace at which" is correct and can be used in written English.
It is typically used to refer to the speed of a process or event. For example: "We were all impressed by the pace at which the project was completed."
✓ Grammatically correct
News & Media
Science
Formal & Business
Alternative expressions(19)
the rate at which
the speed at which
the tempo at which
the velocity at which
the frequency with which
the rhythm with which
the extent to which
the degree to which
the measure by which
the manner in which
the frequency at which
the height at which
the timing at which
the time at which
the force at which
timeliness with which
the quickness with which
the rapidity with which
the efficiency of
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
So has the pace at which existing companies add positions.
News & Media
He felt the pace at which things and people moved.
News & Media
It underlines the pace at which demographics are changing.
News & Media
The pace at which spending by the federal government is dropping stabilized last quarter.
News & Media
The pace at which new technology emerges and becomes paramount is quickening as never before.
News & Media
The focus will then switch to the pace at which its interest rates will climb.
News & Media
Perhaps even more striking than the global figure was the pace at which the session proceeded.
News & Media
The film also underscores the pace at which this whole area is moving.
News & Media
"The pace at which all organizations have been growing naturally creates huge opportunities," he said.
News & Media
By intervening, emerging-market central banks restrain the pace at which their currencies appreciate.
News & Media
"Earnings haven't grown at anywhere near the pace at which equities have appreciated," he said.
News & Media
Expert writing Tips
Best practice
When using "the pace at which", ensure the subject and verb agree in number to maintain grammatical accuracy. For example, "The pace at which new technologies emerge is rapid."
Common error
Avoid using incorrect prepositions like "in which" or "on which" instead of "at which" after "the pace". The correct phrase is "the pace at which".
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "the pace at which" functions as a noun phrase acting as an adverbial modifier, specifying the speed or rate of an action or process. As Ludwig AI indicates, the phrase is grammatically correct and commonly used. For example, "the pace at which technology advances" describes how quickly technology is advancing.
Frequent in
News & Media
64%
Science
20%
Formal & Business
9%
Less common in
Wiki
3%
Encyclopedias
0%
Social Media
0%
Ludwig's WRAP-UP
In summary, "the pace at which" is a grammatically sound and frequently used phrase for describing the speed or rate of a process or event. As highlighted by Ludwig AI, this phrase is generally correct and can be used in written English. The analysis reveals that its function is typically that of an adverbial modifier, and it is used to provide context about the speed of change. Predominantly found in news, scientific, and formal business contexts, "the pace at which" helps to add nuance and precision to writing. Remember to use the correct preposition "at" and ensure grammatical agreement when using this phrase.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
the rate at which
Replaces "pace" with "rate", emphasizing the speed of occurrence.
the speed at which
Substitutes "pace" with "speed", highlighting how quickly something happens.
the tempo at which
Replaces "pace" with "tempo", suggesting a rhythm or beat in the occurrence.
the velocity at which
Uses "velocity" instead of "pace", focusing on the rate and direction of change.
the frequency with which
Replaces "pace" with "frequency", focusing on how often something occurs.
the rhythm with which
Similar to "tempo", suggesting a patterned or recurring rate of change.
the extent to which
Shifts the focus from speed to the degree or measure of something happening.
the degree to which
Similar to "the extent to which", emphasizing the level or intensity.
the measure by which
Focuses on the standard or means by which something is changing.
the manner in which
Shifts the focus from speed to the way something is done or happens.
FAQs
How can I rephrase "the pace at which"?
You can replace "the pace at which" with similar phrases such as "the rate at which", "the speed at which", or "the tempo at which" depending on the desired nuance.
Is it grammatically correct to use "the pace at which"?
Yes, "the pace at which" is grammatically correct and commonly used in formal and informal writing to describe the speed or rate of an action or process. Ludwig AI confirms its correctness.
What does "the pace at which" mean?
"The pace at which" refers to the speed or rate at which something happens or progresses. For example, "The pace at which technology advances is very fast."
How does "the pace at which" differ from "the rate at which"?
While "the pace at which" and "the rate at which" are often interchangeable, "pace" can sometimes imply a more rhythmic or deliberate speed, whereas "rate" is generally a more neutral term for speed.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested