the rate with which

USAGE SUMMARY

The phrase "the rate with which" is correct and usable in written English.
It can be used to describe the speed or frequency of an action or process in relation to something else. Example: "The rate with which the population is growing is alarming to many experts."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Distal prosodic context affected the rate with which participants heard disyllabic final words, although identical acoustic material was judged.

Journal of Memory and Language

To whit, there is more than one way to be a feminist these days; feminist goals and issues are different in different places, as is the rate with which they are realized.

The New York Times - Arts

The rate with which they made this switch was independent of flavour, and flavour transitions (chocolate to vanilla or vanilla to chocolate) caused no enduring change in choice rate (see figure captions for all statistics).

Nature

A better comprehension of stable crack propagation may lead to more reliable predictions of the rate with which cracks grow in weave fabric laminated composites.

International Journal of Fatigue

"Bangerz" (RCA), which will be released on Tuesday, is Ms. Cyrus's fourth solo album, though that's not the most useful metric given the rate with which she's molted skin in recent years.

The New York Times - Arts

Under optimal conditions, renaturation rates are greater than 2000-fold fasthanthan reactions run in 1 M NaCl at 68 degrees C. The reaction is second-order with respect to DNA concentration, and reaction rates approach or equal the rate with which complementary strands are expected to encounter each other in solution.

Stanford University

These rate of adoption numbers, which Heywood says are borne out by the rate with which efficient diesel engines have spread over the last 25 years in Europe, suggest that short-term changes in fuel consumption must come not from the development of new technologies, but from the wiser use of existing ones.

MIT Technology Review

The rate with which the particle radius decreases is shown to be given by the ratio of the time derivative and the spatial derivative of the particle density at the surface of the particle.

Combustion and Flame

Velocity refers to the rate with which data is changing, or how often it is created.

Journal of Big Data

In [5], this rate is thus interpreted as the rate with which a neuron becomes or remains active.

The Journal of Mathematical Neuroscience

North Carolina, which created a similar state capital defense resource office, experienced a decline that tracks Virginia's, and yet in states like Florida, lacking statewide defense resources, the rate with which death sentences are imposed has remained fairly stable.

Duke University

Expert writing Tips

Best practice

When describing a process, use "the rate with which" to emphasize not just the speed, but also the relationship between the speed and the factors influencing it.

Common error

Avoid using "the rate with which" in simple sentences where a direct adverb like "quickly" or "rapidly" would suffice. Overusing complex phrasing can make your writing sound unnecessarily convoluted.

Linguistic Context

The phrase "the rate with which" functions as a complex prepositional phrase that modifies a noun or verb, indicating the speed or frequency of an action or event. Ludwig AI confirms its use in various contexts.

Expression frequency: Very common

Frequent in

Science

68%

News & Media

16%

Academia

10%

Less common in

Formal & Business

6%

Ludwig's WRAP-UP

In summary, "the rate with which" is a versatile phrase used to describe the speed or frequency of an action, especially in relation to other elements. As Ludwig AI explains, it is grammatically correct and sees frequent use across numerous contexts. While alternatives like "the speed at which" and "the pace at which" exist, "the rate with which" often implies a more measured or analytical perspective. Remember to employ it thoughtfully, avoiding overly simplistic situations where a more direct adverb might suffice. The phrase is particularly prevalent in scientific and academic writing, reflecting its formal and precise nature.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the speed at which

Changes the prepositional construction while maintaining the core meaning of velocity.

the pace at which

Replaces "rate" with "pace," emphasizing the tempo or rhythm of the action.

the frequency with which

Substitutes "rate" with "frequency," highlighting how often something occurs.

the tempo at which

Replaces "rate" with "tempo", adding a sense of rhythm or musicality to the expression.

the quickness with which

Focuses on the swiftness of the action, using "quickness" instead of "rate".

the velocity at which

Replaces "rate" with "velocity," providing a more technical or scientific tone.

how rapidly

Simplifies the phrase to an adverbial construction, emphasizing the speed directly.

the degree to which

Shifts the focus to the extent or intensity of something rather than its speed.

the extent to which

Similar to 'the degree to which' and places emphasis on magnitude or scope.

the measure at which

Uses 'measure' to mean the level or degree of something happening.

FAQs

How can I use "the rate with which" in a sentence?

Use "the rate with which" to describe how quickly or frequently something happens, often in relation to another factor. For example, "The rate with which technology advances is astounding."

What are some alternatives to "the rate with which"?

You can use alternatives like "the speed at which", "the pace at which", or "how rapidly" depending on the context.

Is there a difference between "the rate with which" and "the speed at which"?

While both phrases convey a similar meaning, "the rate with which" often implies a more measured or calculated assessment, whereas "the speed at which" focuses more directly on the velocity of the action.

When should I use "the rate with which" instead of a simpler word like "quickly"?

Use "the rate with which" when you want to emphasize the relationship between the speed of an event and other factors influencing it. If the speed is the only focus, a simpler adverb like "quickly" or "rapidly" might be more appropriate.