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
convergence was reached
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "convergence was reached" is correct and usable in written English.
It can be used in contexts where a consensus or agreement has been achieved among different parties or ideas. Example: "After several hours of discussion, it was clear that convergence was reached on the proposed solutions to the problem."
✓ Grammatically correct
Science
Alternative expressions(3)
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
47 human-written examples
Convergence was reached after 3 iterations.
Science
Convergence was reached after two iterations.
Science
When convergence was reached, the similarity value of 3B was 0.679, which was 0.728 of FID3B.
Science
The non-hydrogen atoms were refined anisotropically till convergence was reached.
Science
When convergence was reached, the similarity value of 3B was 0.683, and the similarity value of FID3B was 0.757.
Science
For most of the models, convergence was reached when the random correlations were removed (see Barr et al., 2013).
Human-verified similar examples from authoritative sources
Similar Expressions
13 human-written examples
In this case, we found that plausible starting values and having a longer burn-in helped to ensure that the model converged on its equilibrium distribution, since autocorrelation becomes only a minor issue when convergence is reached.
Science
Convergence is reached within a few iterations.
Science
After 13 iterations, the convergence is reached.
Return to (S2) until convergence is reached.
This process repeats until convergence is reached.
Science
Expert writing Tips
Best practice
When using "convergence was reached", ensure the context clearly indicates what elements converged, such as data sets, opinions, or algorithms.
Common error
Avoid using "convergence was reached" when simply describing a final state without any prior iterative or comparative processes. This phrase implies an evolution towards agreement or stability.
Source & Trust
81%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The primary grammatical function of "convergence was reached" is as a passive voice construction, indicating that a state of agreement or stability was attained. Ludwig AI's examples showcase its use in academic and scientific contexts.
Frequent in
Science
98%
Formal & Business
1%
News & Media
1%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "convergence was reached" is a phrase primarily used in scientific and academic writing to indicate that an iterative process has achieved a stable or agreed-upon state. Ludwig AI confirms its grammatical correctness and highlights its common use in these formal contexts. When using this phrase, ensure the context clearly specifies what has converged. Alternatives like "agreement was achieved" or "stability was achieved" can be used depending on the specific nuance you wish to convey. Remember that this phrase is best suited for formal writing and may sound out of place in casual conversation.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
agreement was achieved
Focuses on the agreement aspect rather than the iterative process leading to it.
consensus was attained
Emphasizes a collective agreement or opinion.
stability was achieved
Highlights the reaching of a stable state rather than agreement.
equilibrium was established
Suggests a balance has been reached, often in a scientific context.
a resolution was found
Indicates a solution to a problem or conflict has been reached.
the solution was stabilized
Suggests that a solution has been made stable and dependable.
common ground was found
Highlights the discovery of shared beliefs or interests.
the iteration converged
Focuses on the iteration and its process to find a result or solution.
accord was reached
Emphasizes a formal agreement between parties.
the method became stable
Highlights the stability of the method, especially in a scientific context.
FAQs
How can I use "convergence was reached" in a sentence?
You can use "convergence was reached" to indicate that a process has stabilized or that different viewpoints have aligned, for example: "After several iterations, "convergence was reached" and the algorithm produced consistent results."
What does "convergence was reached" mean in scientific research?
In scientific research, "convergence was reached" often means that an iterative process, such as an algorithm or simulation, has stabilized and is no longer producing significantly different results. This indicates a reliable solution or outcome.
What are some alternatives to saying "convergence was reached"?
Alternatives to "convergence was reached" include "agreement was achieved", "consensus was attained", or "stability was achieved", depending on the specific context.
Is "convergence was reached" formal or informal?
"Convergence was reached" is generally considered formal and is often used in academic, scientific, and technical writing. It's less common in casual conversation.
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
81%
Authority and reliability
4.5/5
Expert rating
Real-world application tested