approximate equilibrium

USAGE SUMMARY

The phrase "approximate equilibrium" is correct and usable in written English.
It can be used in contexts related to science, economics, or any field where a state of balance is being discussed, but not achieved precisely. Example: "The system reached an approximate equilibrium after several hours of adjustment."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

27 human-written examples

Rather, the explanation of the correlation between the humidities in quite widely separated areas is that, when the total system is in (approximate) equilibrium then the humidity in different areas is (approximately) identical.

SEP

(We require the generator to be slightly larger than the discriminator). Here, "approximate equilibrium" means that each player's move is epsilon-approximately optimal against the other player's move.

University of California, Berkeley

In those cases, the approximate equilibrium could turn out to describe the behavior of real-world systems.

Massachusetts Institute of Technology

Then, implement a national policy that strives toward approximate equilibrium, instead of the current trend of toxic degradation.

The New York Times

There is only one catch: in this approximate equilibrium, the generator produces a distribution Psynth supported on a small number of images.

University of California, Berkeley

Sharma, I., J.T. Jenkins, J. A. Burns 2009 "Dynamical Passage to Approximate Equilibrium Shapes for Spinning, Gravitating Rubble Asteroids," Icarus 200, 304-322.

Cornell University

Human-verified similar examples from authoritative sources

Similar Expressions

33 human-written examples

The process was represented using detailed rate-based model in contrast to similar models in literature which are approximate equilibrium-based models.

International Journal of Coal Science & Technology

In this paper, the classical existence result for ε-approximate equilibrium problems is proved in the framework of the Hadamard space (nonlinear space).

Journal of Inequalities and Applications

In this paper, the existence of ε-approximate equilibrium points for a bifunction is proved under suitable conditions in the framework of a Hadamard space.

Journal of Inequalities and Applications

This has led to the introduction of the concept of approximate Nash equilibrium (ε-equilibrium).

EURASIP Journal on Advances in Signal Processing

A subset of 270,329 SNPs was selected by removing SNPs in approximate linkage equilibrium using plink v1.09 (--indep-pairwise 1000 kb 20.8 32.8)32.

Nature

Expert writing Tips

Best practice

When using "approximate equilibrium", clearly define the tolerance or range of deviation from a perfect equilibrium state to avoid ambiguity.

Common error

Avoid treating "approximate equilibrium" as identical to perfect equilibrium. Always acknowledge the inherent uncertainty or variability within the system.

Linguistic Context

The phrase "approximate equilibrium" functions as a noun phrase, where "approximate" modifies the noun "equilibrium". It denotes a state of balance that is not exact but is sufficiently close for a given purpose or context, similar to what Ludwig AI explains.

Expression frequency: Uncommon

Frequent in

Science

60%

Academia

30%

News & Media

10%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "approximate equilibrium" is a grammatically sound term, most frequently encountered in scientific and academic contexts. Ludwig AI confirms its correct usage. It describes a state of near balance, where conditions are stable but not perfectly exact. When using this phrase, ensure you define the degree of approximation to avoid ambiguity. While it is a correct term, it is uncommon, so you can eventually prefer synonyms such as "near equilibrium" or "rough equilibrium" to provide more clarity to the reader. Remember that assuming an exact equilibrium when only an approximate one exists is a common pitfall to be avoided.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

near equilibrium

Replaces "approximate" with "near", indicating a close but not exact state of balance.

rough equilibrium

Uses "rough" instead of "approximate", suggesting a less precise balance.

quasi-equilibrium

Employs the prefix "quasi-" to convey a state resembling equilibrium.

partial equilibrium

Highlights that the equilibrium is not complete or total.

close to equilibrium

Rephrases to emphasize proximity to a balanced state.

in a state of near balance

Expands the phrase to describe the condition explicitly.

approaching equilibrium

Focuses on the process of moving towards a balanced state.

equilibrium-like state

Adds "-like" to indicate resemblance without being identical.

equilibrium tendency

Highlights a leaning or drift toward equilibrium.

effective equilibrium

Suggests the equilibrium is functional for practical purposes, even if not perfect.

FAQs

How is "approximate equilibrium" used in scientific writing?

In scientific writing, "approximate equilibrium" typically describes a system that is close to a state of balance but may have minor fluctuations or deviations. It's often used when a system hasn't reached complete stability but is stable enough for practical purposes.

What's a simpler way to say "approximate equilibrium"?

You can use simpler phrases such as "near equilibrium", "rough equilibrium", or "close to equilibrium". The best choice depends on the specific context and the degree of precision you want to convey.

Is there a mathematical definition for "approximate equilibrium"?

While there isn't a universal mathematical definition, "approximate equilibrium" often implies that the system's parameters are within a certain tolerance (ε) of their ideal equilibrium values. The specific value of ε depends on the system and the application.

How does "approximate equilibrium" differ from dynamic equilibrium?

"Approximate equilibrium" suggests a state that is nearly, but not perfectly, balanced. Dynamic equilibrium, on the other hand, describes a state where opposing processes occur at equal rates, maintaining a constant average condition, even though individual components may be changing.