infinite period

USAGE SUMMARY

The phrase "infinite period" is correct and usable in written English.
It can be used in contexts discussing time, duration, or concepts that extend indefinitely. Example: "The project was delayed due to an infinite period of uncertainty regarding funding."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

Chaotic behavior is developed when the centre of forcing is relatively close to a homoclinic infinite period orbit, while quasi-periodicity is developed when the centre of forcing is in the neighborhood of a Hopf bifurcation point.

Chemical Engineering Science

The periodic branch terminates at a homoclinical infinite period (IP) bifurcation point.

Chemical Engineering Science

We adopt the -learning mechanism introduced in Section 5. Note that there are infinitely many belief states since a channel could be unsensed for an infinite period of time.

EURASIP Journal on Wireless Communications and Networking

This phenomenon has important global ramifications, in the sense that the periodic modulations associated with the Hopf bifurcation tend to have an infinite period, a strong indicator of existence of homoclinic orbits.

Journal of Sound and Vibration

"We are not going to stay in this weak economic environment for an infinite period of time -- it's a cyclical phenomenon," Mr. Kumar said.

The New York Times

"There is a window, not an infinite period of time, but a window of time where we can resolve this diplomatically," the president said.

The New York Times

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

The dynamic model of game based on an n-person game (G = (N, S _{N}, f)) is formulized by the process that this static game is repeated infinite periods (times).

Fixed Point Theory and Applications

However, practical application of such an approach has to be made with care, as the trend has a non-infinite period limited by the length of the dataset or by the limited length of the stable trend interval.

Progress in Earth and Planetary Science

This suggests that an infinite-period bifurcation takes place [20].

Plosone

Loosely speaking, the ideal case (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha =1$$\end{document} ) corresponds to an infinite-period limit cycle.

Biological Cybernetics

This reluctance leads to an "infinite waiting period and slows the growth of an industry," he said.

The New York Times - Tech

Expert writing Tips

Best practice

When discussing theoretical models or simulations, use "infinite period" to represent scenarios without time constraints. For example, in economics, it can refer to long-term growth models.

Common error

Avoid using "infinite period" to describe events that are merely very long, but not truly without end. Instead, use terms like "extended period" or "prolonged duration" for such cases.

Linguistic Context

The phrase "infinite period" functions primarily as a noun phrase. It is used to define a time interval without defined limits. Ludwig shows its prevalence across various fields, indicating its role in specifying theoretical or abstract durations.

Expression frequency: Very common

Frequent in

Science

80%

News & Media

10%

Encyclopedias

5%

Less common in

Formal & Business

2%

Wiki

2%

Reference

1%

Ludwig's WRAP-UP

The phrase "infinite period" is a noun phrase indicating a timeframe that is theoretically boundless, as confirmed by Ludwig. It is commonly used in science, news, and encyclopedic contexts to represent durations without end. While grammatically correct and frequently used, writers should be careful to distinguish it from terms like "indefinite period", which imply a lack of defined end but not necessarily a truly boundless duration. As Ludwig AI explains, the phrase is appropriate when describing theoretical models and simulations where time constraints are not considered.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

infinite timeframe

Replaces "period" with "timeframe", offering a slightly more technical or planning-oriented perspective.

infinite duration

Swaps "period" with "duration", focusing on the length of time.

indeterminate period

Replaces "infinite" with "indeterminate", focusing on the lack of a defined end rather than strict infinity.

unending period

Substitutes "infinite" with "unending", highlighting the lack of termination.

interminable period

Replaces "infinite" with "interminable", emphasizing the tedious or seemingly endless nature of the period.

countless period

Uses "countless" instead of "infinite", suggesting a very large, unquantifiable duration.

infinite term

Substitutes "period" with "term", which may be appropriate in mathematical or contractual contexts.

unrestricted period

Replaces "infinite" with "unrestricted", emphasizing the absence of limitations on the period.

ultimate period

Replaces "infinite" with "ultimate", suggesting a final, complete period of time.

infinite length

This focuses on the measure of how long something lasts rather than a delimited period.

FAQs

How is "infinite period" used in scientific contexts?

In scientific models, "infinite period" often represents a theoretical timeframe that extends without limits, used for simulations or analyses where time constraints are not a factor. It's used, for example, when analyzing the behavior of systems over an unbounded timeframe.

What are some alternatives to "infinite period" in everyday language?

Depending on the context, you could use phrases like "unending period", "interminable period", or "indeterminate period". The best choice depends on the specific nuance you want to convey.

Is "infinite period" the same as "indefinite period"?

While both phrases suggest a lack of defined end, "infinite period" implies a truly boundless duration, while "indefinite period" suggests a duration that is not precisely determined but may still have a potential end. The phrase "indefinite period" simply suggests that you are not sure how long something will last.

Can I use "infinite period" to describe historical events?

It is generally not appropriate to use "infinite period" to describe historical events because history by definition is a bounded period of time. It is better to use "extended period" or "prolonged duration".