above convergence

USAGE SUMMARY

The phrase "above convergence" is not standard in written English and may cause confusion.
It could be used in contexts discussing topics like mathematics or data analysis, but clarity is essential. Example: "The results indicate that the model has reached above convergence, suggesting improved accuracy."

Science

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

Of course, D ( a, b ) is endowed with the above convergence property.

Boundary Value Problems

as for all By equality (3.49) and the above convergence, we see that (351).

Journal of Inequalities and Applications

By equality (3.47) and the above convergence, we obtain for all and all.

Journal of Inequalities and Applications

Using, (3.3), the above convergence and Lebesgue's theorem, we have, making in (3.2), that.

Boundary Value Problems

The set of the functions for which the above convergence is uniform on any compact interval is denoted by.

Journal of Inequalities and Applications

Combining this fact with the above convergence results and (3.38), we see that (u_{varepsilon }) is a weak solution of problem ((P_{varepsilon})).

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

Thus, by the above convergences and (3.53), we can prove the existence of solutions to (1.1) satisfying (2.8).

Boundary Value Problems

Next, we show that the above weak convergence is actually strong convergence in E. From Lemma 3.3, for any ε > 0, there exist positive constants N 3 and M ˜ 1 such that for n > M ˜ 1, ∑ ∥ j ∥ > N 3 ( | u i n ( t n, θ t n ω ) | 2 + | v j n ( t n, θ t n ω ) | 2 + | ψ j n ( t n, θ t n ω ) | 2 ) ≤ ε 6. (3.12).

Advances in Difference Equations

We obtain that the above mentioned convergence is full invariant.

Journal of Inequalities and Applications

This random-effects inference assesses above-chance convergence between experiments, not clustering of foci within a particular experiment.

Cerebral Cortex

Thus, a random-effects inference was invoked, focusing on the above-chance convergence across different experiments (Eickhoff et al. 2009; Caspers et al. 2010; Kurth et al. 2010).

Brain Structure and Function

Expert writing Tips

Best practice

When using "above convergence", ensure the context clearly indicates what "above" refers to, whether it's a threshold, a rate, or a specific criterion. Using more precise language can improve clarity.

Common error

Avoid assuming "above convergence" always implies a positive outcome. In some contexts, exceeding a convergence threshold might indicate instability or overfitting. Always consider the specific field and its conventions.

Linguistic Context

The phrase "above convergence" functions as a modifier, typically describing the state or extent of a process or model exceeding a specific convergence point. While Ludwig AI identifies its usage, it also notes the phrase isn't standard, suggesting the need for careful contextualization.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "above convergence" is a non-standard expression primarily found in scientific and technical contexts. Ludwig AI indicates its acceptability but highlights the importance of clarity due to its potential for ambiguity. When using "above convergence", ensure the context is well-defined and consider alternatives like "beyond convergence" or "surpassing convergence" for improved precision. While grammatically sound, its limited usage and potential for misinterpretation suggest careful consideration in broader contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

beyond convergence

Indicates a state that surpasses the point of convergence.

surpassing convergence

Emphasizes exceeding the limits or expectations of convergence.

exceeding convergence criteria

Specifically refers to exceeding predefined criteria for convergence.

attaining superconvergence

Highlights achieving a higher order of convergence than expected.

post-convergence behavior

Describes the behavior or state after convergence has been reached.

convergence acceleration

Focuses on speeding up the process leading to convergence.

higher-order convergence

Refers to a more rapid or efficient form of convergence.

enhanced convergence

Implies an improved or optimized state of convergence.

convergence optimization

Emphasizes the process of improving or refining convergence.

superior convergence properties

Indicates that something has better convergence characteristics.

FAQs

What does "above convergence" mean in a scientific context?

In scientific fields like mathematics or data analysis, "above convergence" typically suggests exceeding a defined level or criteria for a process to converge, potentially indicating that the process has become unstable or overfitted.

Are there alternatives to using "above convergence"?

Yes, you can use alternatives like "beyond convergence", "surpassing convergence", or "exceeding convergence criteria" for greater clarity.

Is "above convergence" grammatically correct?

While not incorrect, "above convergence" is not a standard or widely recognized phrase. Its acceptability depends on the specific context and audience. Using more conventional phrasing may improve understandability.

How can I use "above convergence" in a sentence?

You might use it to describe a model that has converged to a higher degree of accuracy than expected. For example, "The results indicate that the model has reached "above convergence", suggesting improved accuracy."