convergence is reached

USAGE SUMMARY

The phrase "convergence is reached" is correct and usable in written English.
It can be used in contexts where a consensus or agreement has been achieved, particularly in discussions about data, opinions, or processes. Example: "After several rounds of discussion, we finally agreed that convergence is reached on the proposed solution."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 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.

BMC Evolutionary Biology

This process repeats until convergence is reached.

Journal of Big Data

Convergence is reached within a few iterations.

Earth, Planets and Space

After 13 iterations, the convergence is reached.

Journal of Modern Power Systems and Clean Energy

Return to (S2) until convergence is reached.

EURASIP Journal on Wireless Communications and Networking

Moreover, convergence is reached after a few iterations.

EURASIP Journal on Advances in Signal Processing

There fibre directions are affixed throughout the laminate until convergence is reached.

Composite Structures

It is of interest to examine how long one must wait until convergence is reached.

IFAC Proceedings Volumes

Through information sharing, the utility and the communities update their decisions until convergence is reached.

Electric Power Systems Research

Convergence is reached when successive estimates of the phase are sufficiently similar.

Advanced Structural and Chemical Imaging

(5) Repeat the above from Step (2) onward until convergence is reached.  .

Journal of Petroleum Exploration and Production Technology

Expert writing Tips

Best practice

When using "convergence is reached" in technical writing, clearly define the criteria used to determine convergence. This adds precision and clarity to your analysis.

Common error

Avoid assuming that "convergence is reached" simply because an iterative process has run for a predetermined number of cycles. Always verify that the predefined convergence criteria have actually been met to ensure accurate results.

Linguistic Context

The phrase "convergence is reached" functions as a statement indicating the completion of an iterative process. As Ludwig AI also stated, the usage examples show this is often in a scientific or technical context where simulations or iterative calculations stabilize.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "convergence is reached" is a grammatically correct and common expression, particularly in scientific and technical contexts. Ludwig AI confirms its validity and highlights its use in scenarios involving iterative processes and stable outcomes. When using this phrase, ensure you clearly define the convergence criteria specific to your context to avoid ambiguity. While it's mainly used in formal settings, understanding suitable alternatives like "agreement is achieved" or "equilibrium is established" can be useful for different writing needs.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

agreement is achieved

Focuses on the outcome of reaching an agreement or consensus.

consensus is attained

Highlights the attainment of a general agreement within a group.

stability is achieved

Emphasizes the establishment of a stable or unchanging condition.

equilibrium is established

Refers to reaching a state of balance or equilibrium.

a steady state is reached

Indicates the attainment of a condition where variables remain constant over time.

a solution is obtained

Focuses on the successful finding of a solution to a problem.

the limit is approached

Emphasizes the gradual closing in on a final or limiting value.

finality is attained

Highlights the achievement of a state of being complete or not subject to further change.

the process stabilizes

Focuses on the stabilization of a procedure or sequence of actions.

the result is finalized

Emphasizes the completion and finalization of a result or outcome.

FAQs

How is "convergence is reached" typically used in scientific writing?

In scientific writing, "convergence is reached" often indicates that an iterative process, such as a simulation or calculation, has reached a stable state. This means further iterations are unlikely to significantly change the outcome. It's important to define the specific criteria used to determine when convergence occurs.

What are some alternative phrases for "convergence is reached"?

Alternatives include "agreement is achieved", "consensus is attained", or "equilibrium is established". The best choice depends on the specific context.

Is it appropriate to use "convergence is reached" in non-technical contexts?

While "convergence is reached" is more common in technical fields, it can be used in other contexts where a process leads to a stable or agreed-upon outcome. However, simpler terms may be more suitable for general audiences.

How do I ensure my use of "convergence is reached" is clear and precise?

Clearly define the criteria for convergence in your specific context. State what variable or metric is being monitored and what threshold must be met for convergence to be considered reached. This avoids ambiguity and ensures your audience understands the significance of the statement.