the distance at which

USAGE SUMMARY

The phrase "the distance at which" is correct and usable in written English.
It is typically used to refer to an extent of separation or interval. For example, "The distance at which the two planets orbit the sun affects their gravitational pull."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

A parsec is the distance at which a star has a parallax of 1 arcsec.

Cornell University

That's less than one-third of the distance at which New Horizons flew past Pluto.

Nature

The distance at which the beams no longer interact is quantified for both array configurations.

Journal of Fluids and Structures

We define the transmission radius R as the distance at which p(R)=0.5.

Computer Communications

As the distance at which prey react to predators increases, the population range generally increases.

Ecological Modelling

You can even set the distance at which the cable slows down.

The New York Times

In other words, a small increase in average speed dramatically reduces the distance at which a world record is possible.

MIT Technology Review

"They're much safer as the computer controls the distance at which driverless cars drive and their speed.

The Guardian - Tech

Based on individually identifiable animals and a standardized flight initiation protocol, we measured the distance at which a deer detected an approaching threat, and the distance at which it subsequently initiated flight.

Animal Behaviour

Zebras may extend the distance at which they can direct their movement after improving their knowledge of the local environment.

Animal Behaviour

Dr Kerner allowed for as much as 1.8 seconds, the distance at which drivers in Germany are taught to follow.

The Economist

Expert writing Tips

Best practice

When describing scientific phenomena, use "the distance at which" to clearly define spatial parameters influencing the observed effects.

Common error

Avoid using "the distance at which" in simple sentences where a direct preposition like 'at' or 'from' would suffice. For example, instead of 'The sound is audible at the distance at which...', prefer 'The sound is audible at...'

Linguistic Context

The phrase "the distance at which" functions as a prepositional phrase modifying a noun or clause. It serves to specify a particular spatial extent where a condition or event is valid. Ludwig AI confirms the grammatical correctness and widespread usage.

Expression frequency: Very common

Frequent in

Science

52%

News & Media

29%

Academia

12%

Less common in

Encyclopedias

3%

Wiki

3%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "the distance at which" is a versatile prepositional phrase primarily used to specify a separation or range where a particular event or condition is valid. According to Ludwig AI, it's grammatically correct and widely used, especially in scientific, news-related, and academic contexts. While common, it's important to avoid overuse in simple sentences where more direct prepositions would suffice. Related phrases like "the point where" or "the range wherein" can provide alternative ways to express similar ideas depending on the specific nuance desired. This phrase exhibits a neutral to formal register, making it suitable for diverse writing styles.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the point where

Emphasizes a specific location or condition rather than a measurable separation.

the range wherein

Focuses on an interval or scope instead of a precise measurement.

the separation when

Highlights the condition or event coinciding with an interval.

the limit beyond which

Implies a boundary that, if exceeded, results in a change or consequence.

the threshold where

Suggests a critical value or trigger point.

the space at which

Emphasizes the spatial dimension and the conditions present within it.

the position from which

Focuses on a specific spot serving as a reference.

the location where

Highlights a specific place or area.

the stage at which

Relates to a particular point in a process or development.

the level where

Indicates a specific value on a scale or hierarchy.

FAQs

How can I use "the distance at which" in a sentence?

"The distance at which" is used to specify a certain range or separation where a specific condition or event occurs. For example, "Scientists measured the distance at which the effect was noticeable".

What are some alternatives to "the distance at which"?

Depending on the context, you could use alternatives like "the point where", "the range wherein", or "the threshold where".

Is it more appropriate to use "the point at which" or "the distance at which"?

Use "the point at which" when referring to a specific location or moment. Use "the distance at which" when referring to a measurable interval or separation.

How does the context affect the choice of using "the distance at which"?

The context dictates whether you need to emphasize spatial separation. For instance, in scientific contexts, "the distance at which" is precise. In casual conversation, a simpler phrase might be better.