Used and loved by millions
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
at which pace
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "at which pace" is correct and usable in written English.
It can be used to discuss the speed or rate at which something occurs or is done. Example: "The project progressed at which pace we had anticipated, leading to timely completion."
✓ Grammatically correct
Science
News & Media
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
4 human-written examples
Minimum amplitude (Min) and timing of the minimum amplitude (T min) measured from the time at which pace is delivered.
Science
Maximum amplitude (Max) and timing of the maximum amplitude (T max) measured from the time at which pace is delivered.
Science
Maximum amplitude (Max) and timing of the maximum amplitude (Tmax) measured from the time at which pace is delivered.
Science
Minimum amplitude (Min) and timing of the minimum amplitude (Tmin) measured from the time at which pace is delivered.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
54 human-written examples
The resulting EGM was analysed within a predefined time-window (170 ms) starting from the instant at which pacing was delivered.
Science
Criticism was levelled at the pace at which the changes were brought in.
News & Media
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
"Earnings haven't grown at anywhere near the pace at which equities have appreciated," he said.
News & Media
The pace at which spending by the federal government is dropping stabilized last quarter.
News & Media
Expert writing Tips
Best practice
When using "at which pace", ensure the context clearly defines what is progressing or changing. This phrase is most effective when discussing measurable advancements or developments.
Common error
Avoid using "at which pace" to describe static or unchanging situations. This phrase implies movement or progression; therefore, it's unsuitable for scenarios where no change occurs.
Source & Trust
87%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "at which pace" functions primarily as an adverbial phrase, modifying verbs to describe the rate or speed of an action or process. Ludwig examples illustrate its usage in specifying how quickly something progresses or changes. The Ludwig AI confirms its correct and usable nature.
Frequent in
News & Media
38%
Science
31%
Formal & Business
31%
Less common in
Academia
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
The phrase "at which pace" is a grammatically correct adverbial phrase used to describe the speed or rate of an action or process. Ludwig AI confirms its validity, though its usage is relatively rare. It appears most frequently in news and media, science, and formal business contexts. Alternatives such as "at what speed" or "at what rate" are more common and might be preferred in less formal settings. When using "at which pace", ensure the context clearly indicates what is progressing or changing to maintain clarity and relevance.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
at what speed
Replaces "pace" with "speed", offering a more common synonym but maintaining the same structure.
at what rate
Substitutes "pace" with "rate", providing another frequent synonym and preserving the original meaning.
the speed at which
Rephrases to emphasize "speed" as the subject, slightly altering the sentence structure.
the rate at which
Similar to the previous one, but replaces "speed" with "rate".
how quickly
Uses an adverb to directly modify a verb, changing the phrase type and sentence construction.
the tempo of
Employs "tempo" to suggest rhythm or cadence, introducing a nuance not present in the original phrase.
the velocity of
Replaces with a more technical term, suggesting speed with direction.
the momentum of
Focuses on the driving force behind the action rather than the speed itself.
degree of progress
Shifts the focus to the extent of advancement, rather than the rate.
level of advancement
Similar to the above, emphasizes the state of being advanced instead of the rate of change.
FAQs
How can I use "at which pace" in a sentence?
Use "at which pace" to describe the speed or rate of progress. For example: "The project advanced "at which pace" we had anticipated."
What are some alternatives to "at which pace"?
Alternatives include "at what speed", "at what rate", or "how quickly" depending on the context.
Is "at which pace" formal or informal?
"At which pace" is suitable for both formal and neutral contexts, as it's grammatically correct and widely understood. However, in very informal settings, simpler phrases like "how fast" might be preferred.
What's the difference between "at which pace" and "the pace at which"?
"At which pace" functions as a prepositional phrase modifying a verb, while "the pace at which" acts as a noun phrase that can be the subject or object of a sentence. For example: "The funds spend "at which pace" Hud is spending is almost on schedule." vs. "The "pace at which" the funds are spent is almost on schedule."
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
87%
Authority and reliability
4.1/5
Expert rating
Real-world application tested