fast time scale

USAGE SUMMARY

The phrase "fast time scale" is correct and usable in written English.
It can be used in contexts related to physics, engineering, or any field where time intervals are discussed, particularly when referring to processes that occur quickly. Example: "The reaction occurs on a fast time scale, making it difficult to observe the intermediate steps."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

50 human-written examples

Taking advantage of the fast time scale and ease of setting up a controlled experiment, we study complex ecological dynamics that arise from microbial community interactions.

University of California, Berkeley

Yet, with the nonlinear response balancing damping and nonlinearity, the fast time scale can be estimated using inverse techniques with very coarse sampling.

Chemical Engineering Science

Artificial mineral carbonation of large volcanic basalt formations that occur near the Earth's surface would provide the surest form of sequestering carbon dioxide underground if it can be made to work on a fast time scale.

Yale University

The overdot denotes the derivative with respect to the fast time scale t.

The Journal of Mathematical Neuroscience

Note that the slow variables are constant on the fast time scale.

The Journal of Mathematical Neuroscience

The cellsare coupled with inhibitory synapses that turn on and off on the fast time scale.

The Journal of Mathematical Neuroscience

Human-verified similar examples from authoritative sources

Similar Expressions

10 human-written examples

By using an appropriate Lyapunov function for the coupled system, a maximal upper bound for the fast time-scale associated with the fast state is derived.

Neural Networks

To address fast time-scale variations we design a fine regulatory mechanism of load balancing supported by a control-theoretic approach.

Future Generation Computer Systems

To illustrate the impact of these factors, we combine optimization-based modeling of the slow time-scale with stochastic modeling of the fast time-scale.

Performance Evaluation

The system was simulated on the fast time-scale during T = 10, 000 time steps of size d t = 0.01.

The Journal of Mathematical Neuroscience

where x ˙ denotes the derivative of x with respect to the fast time-scale, t fast = τ.

The Journal of Mathematical Neuroscience

Expert writing Tips

Best practice

When describing processes with distinct speeds, use "fast time scale" to clearly differentiate from slower processes, providing context for the rate of change.

Common error

Avoid using "fast time scale" in contexts where the specific speed or duration isn't relevant. If the rate isn't a key factor, simpler terms like "quickly" or "rapidly" may be more appropriate.

Linguistic Context

The phrase "fast time scale" functions as a noun phrase, typically used as an adjective to describe a process or event. As Ludwig AI confirms, it is grammatically correct and commonly used. It is seen frequently in scientific literature and academic discussions to specify the temporal aspect of various phenomena.

Expression frequency: Common

Frequent in

Science

73%

Academia

27%

Formal & Business

0%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "fast time scale" is a grammatically correct and commonly used term, primarily within scientific and academic fields. As confirmed by Ludwig AI, it serves to specify the rapid pace of a process or event, often in contrast to slower processes. Its formality makes it suitable for technical and academic writing, and it's important to use it when precision about temporal speed is necessary. Consider alternatives like "rapid timescale" or "short time scale" for variety, but ensure the context warrants the specific emphasis on speed.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

rapid timescale

This alternative substitutes "fast" with "rapid", emphasizing the quick nature of the time scale.

short time scale

Replaces "fast" with "short", focusing on the brevity of the time duration.

quick timescale

Uses "quick" instead of "fast", maintaining the emphasis on speed.

accelerated timeframe

Substitutes "time scale" with "timeframe" and "fast" with "accelerated", implying a faster rate of change.

brief duration

Focuses on the limited length of time, replacing "time scale" with a more general term.

rapid succession

Shifts the focus to events happening quickly one after another, rather than a specific time scale.

high-frequency interval

Uses technical terms to highlight the high rate of events within a specific interval.

immediate response time

Specifically refers to how quickly a system reacts, rather than a general time scale.

expedited schedule

Implies a faster-than-normal sequence of events or actions.

compressed timeline

Suggests that events are happening in a shorter period than typically expected.

FAQs

How is "fast time scale" used in scientific research?

In scientific research, "fast time scale" is commonly used to describe reactions, processes, or events that occur very quickly, often requiring specialized equipment or techniques for observation and measurement. This term helps differentiate these events from slower processes occurring simultaneously.

What are some synonyms for "fast time scale"?

Alternatives for "fast time scale" include "rapid timescale", "short time scale", or "quick timescale", which all emphasize the brevity or speed of the time period being discussed.

How does "fast time scale" differ from "slow time scale"?

"Fast time scale" refers to processes that occur quickly, while "slow time scale" refers to processes that occur over a longer duration. The distinction is relative and depends on the context, highlighting different speeds of reactions or changes within a system.

When is it appropriate to use the term "fast time scale"?

Use "fast time scale" when you need to specifically emphasize the speed or rapidity of a process, especially in comparison to other processes that may be occurring more slowly. This term is particularly useful in scientific, engineering, and mathematical contexts.