Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
equilibria with
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "equilibria with" is correct and usable in written English.
It can be used in contexts discussing balance or stability in various fields such as science, economics, or philosophy. Example: "The study focuses on the equilibria with multiple variables affecting the system's stability."
✓ Grammatically correct
Science
News & Media
Formal & Business
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
May you all return to your families and equilibria with love and happiness, and let us say Amen.
News & Media
In such cases, countries can easily find themselves pushed into bad equilibria with negative implications for the euro area as a whole.
News & Media
Equilibria with this property are sometimes called coordination equilibria.
Science
Bifurcation of equilibria with more symmetry typically leads to several equilibria with less ("broken") symmetry.
There are multiple subgame perfect equilibria with dominated strategies.
Science
Thus, our analysis focuses on equilibria with full revelation.
Science
Some agents may actually compute equilibria, with more or less error.
Science
Equilibria with large Shafranov shifts can be computed without difficulty.
Future research should try to develop scenarios with n different equilibria with different dynamic regimes.
Proposition 4 requires either bettor-strong subgame perfect equilibria, or subgame perfect equilibria with undominated strategies.
Science
The method can handle shaped tokamak plasma equilibria with a divertor configuration.
Expert writing Tips
Best practice
When using "equilibria with", ensure that the accompanying elements or factors are clearly defined to provide context and precision in your writing. For instance, specify "equilibria with positive profits" or "equilibria with nonisotropic plasma pressure".
Common error
Avoid using "equilibria with" without specifying what the equilibria are related to. Saying simply "equilibria with factors" is vague; be precise by stating "equilibria with environmental factors" to provide meaningful context.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "equilibria with" functions as a prepositional phrase that often modifies a noun or describes the conditions under which a state of balance or stability exists. Ludwig AI's analysis of numerous examples confirms its use across varied scientific and technical contexts.
Frequent in
Science
70%
News & Media
15%
Formal & Business
10%
Less common in
Encyclopedias
2%
Wiki
2%
Reference
1%
Ludwig's WRAP-UP
In summary, "equilibria with" is a grammatically sound and frequently used phrase, especially within scientific and technical domains. Ludwig AI analysis indicates it effectively describes states of balance in relation to other factors. To ensure clarity, it is crucial to specify the accompanying elements. The register is formal, making it suitable for academic, scientific, and professional contexts. Avoid overgeneralization by always providing specific details about what the equilibria are related to.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
equilibrium alongside
This alternative emphasizes the co-occurrence or simultaneous existence of equilibria with other elements.
balance in conjunction with
This focuses on the idea of balance existing together with something else.
stable state including
This phrase highlights the stable condition that incorporates certain aspects.
equilibrium accompanied by
This alternative suggests that the state of equilibrium is present together with another factor.
stability considering
It conveys that stability is achieved when certain aspects are taken into account.
equilibrium incorporating
This option highlights the integration of certain elements into the equilibrium.
balance that integrates
This emphasizes the integration aspect for achieving a balanced state.
steady state considering
It suggests a steady state is achieved when something is taken into account
stable conditions including
Highlights stable states inclusive of certain aspects.
balance involving
This phrase suggests that the balance relates to or implicates another aspect.
FAQs
How is "equilibria with" used in scientific writing?
In scientific writing, "equilibria with" is used to describe states of balance in relation to specific conditions, components, or parameters. For example, it might refer to "phase "equilibria with" hydrates" or ""equilibria with" nonisotropic plasma pressure."
What are some alternatives to "equilibria with"?
Alternatives include "equilibrium alongside", "balance in conjunction with", or "stable state including", depending on the specific nuance you want to convey.
Is "equilibria with" grammatically correct?
Yes, "equilibria with" is grammatically correct. The plural noun "equilibria" is correctly used with the preposition "with" to indicate a relationship or association.
What's the difference between "equilibria with" and "equilibriums with"?
"Equilibria" is the more formal and scientifically accepted plural form of "equilibrium", whereas "equilibriums" is less common. Using "equilibria with" signals a more precise and technical usage, particularly in scientific or academic contexts.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested