equilibrium holds

USAGE SUMMARY

The phrase "equilibrium holds" is correct and usable in written English.
It can be used in contexts related to science, economics, or any field discussing balance or stability in a system. Example: "In this model, equilibrium holds when supply equals demand, ensuring market stability."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

When the Hardy Weinberg equilibrium holds in the general population, the genetic model can be inferred by the deviation from Hardy Weinberg equilibrium in only cases.

Journal of Theoretical Biology

Therefore, equilibrium holds everywhere to leading order, specifically, {u}^0 x)=0,kern1em {mu}_{alpha}^0 x)=0kern2.25em mathrm{for}kern0.5em xin Omega.

Materials Theory

Moreover, in the present case this indicates that equilibrium holds everywhere in the domain to the leading order, i.e., {mu}_{alpha}^0 x)=0kern1.5emathrm{foror} xin Omega.

Materials Theory

Recent studies by the authors of the heterogeneous catalysis of fast binary reactions have taken a dynamical systems approach, assuming that fast enough reactions are confined to a manifold upon which surface equilibrium holds.

Chemical Engineering Science

Therefore, the conventional total potential energy approach is extended by introducing an extended total potential energy-like functional capable of describing inelastic processes in which equilibrium holds between available and the required force for producing a change in structure.

Composite Structures

Lazar and Semret[29] have shown that a certain form of the Nash equilibrium holds when the progressive second price auction is applied by independent sellers on each link of a network with arbitrary topology.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

But it squeezes poorer ones, particularly in Africa, very hard.In this section Will the shaky equilibrium hold?

The Economist

In general, budgetary targets in the region are increasingly not being met as economic activity slows.In this section Will the shaky equilibrium hold?

The Economist

Relations between Turkey's government and the Iraqi Kurdish regional one are plainly improving.In this section Will the shaky equilibrium hold?

The Economist

This, too, is aimed at citizens of Arab origin who make up a fifth of Israel's 7m people.In this section Will the shaky equilibrium hold?

The Economist

With few roads or modern connections and plenty of swamps, government forces can hammer the militants and the civilians among whom they live with little scrutiny from outside.In this section Will the shaky equilibrium hold?

The Economist

Expert writing Tips

Best practice

When writing about scientific models or economic theories, use "equilibrium holds" to clearly state that a state of balance exists under specific conditions.

Common error

Avoid using "equilibrium holds" in informal writing or everyday conversation where simpler terms like "balance is maintained" or "things are stable" would be more appropriate.

Linguistic Context

The phrase "equilibrium holds" functions as a statement affirming the presence and maintenance of a balanced state within a system. Ludwig AI confirms its correctness. It's often used in scientific and economic contexts to denote stability.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

30%

Encyclopedias

10%

Less common in

Wiki

0%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "equilibrium holds" is a grammatically correct phrase used to indicate that a state of balance or stability exists within a system. As noted by Ludwig AI, it is most commonly found in scientific and technical contexts. While "equilibrium holds" is acceptable, simpler alternatives might be more appropriate for casual conversation. The phrase's formality makes it suitable for academic writing and formal reports. When incorporating this phrase into your writing, ensure that it accurately reflects the presence of a balanced state, avoiding overuse in informal contexts. Always consider the context and audience to ensure clarity and appropriateness.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equilibrium is maintained

Focuses on the ongoing state of equilibrium, emphasizing its preservation.

equilibrium is achieved

Highlights the attainment of a balanced state, rather than its continuation.

balance is sustained

Emphasizes the active effort to keep things in balance.

stability is present

Indicates the existence of a stable condition or state.

a steady state exists

Emphasizes the condition of being unchanging over time.

equilibrium prevails

Suggests that equilibrium is dominant or widespread.

balance remains

Implies that a state of balance persists despite potential disruptions.

stability endures

Conveys a sense of long-lasting or resilient stability.

conditions are stable

Focuses on the stability of specific conditions rather than a general equilibrium.

a balanced state is present

Highlights the presence of an overall balanced condition.

FAQs

How can I use "equilibrium holds" in a sentence?

Use "equilibrium holds" to indicate that a state of balance is present and maintained, particularly in scientific, economic, or technical contexts. For instance, "In this market model, "equilibrium holds" when supply equals demand".

What does "equilibrium holds" mean?

"Equilibrium holds" means that a state of balance or stability is present and being maintained within a system or model. It implies that opposing forces or influences are equalized, resulting in a steady state.

What can I say instead of "equilibrium holds"?

You can use alternatives like "equilibrium is maintained", "balance is sustained", or "stability is present" depending on the specific context.

Is it appropriate to use "equilibrium holds" in everyday conversation?

While grammatically correct, "equilibrium holds" is generally more suitable for technical or academic writing. In everyday conversation, simpler phrases like "things are stable" or "everything is balanced" are often more appropriate.