degree of convergence

USAGE SUMMARY

The phrase "degree of convergence" is correct and usable in written English.
It is typically used in mathematical or statistical contexts to describe how closely a sequence or series approaches a limit or a specific value. Example: "The degree of convergence of the series indicates how quickly it approaches its limit as more terms are added."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Then converges strongly to the unique fixed point, and the estimation of degree of convergence is as follows: (3.4).

Fixed Point Theory and Applications

Then converges strongly to the unique fixed point, and the estimation of degree of convergence is obtained as follow: (2.19).

Fixed Point Theory and Applications

"To this day I'm not entirely clear what degree of convergence was signed in blood at the Texas range".

The Guardian

He says Latvia has achieved a high degree of convergence with the eurozone (see 11.31am for details).

The Guardian - Business

They also found that the structure of the conversational networks influenced the degree of convergence.

Princeton University

Indeed, there is a degree of convergence between the new Anglo-social model and the continental European models, which are becoming more liberal.

The Guardian - Opinion

This meeting, Amano's first bilateral review since his election, illustrates the very high degree of convergence between his priorities and our own agenda at the IAEA.

The Guardian

"When I heard that speech, I thought that this represents a tightening of the UK/US alliance and a degree of convergence on the danger Saddam Hussein presented".

The Guardian

Since there are millions of olfactory receptor cells, the degree of convergence of axons, and therefore of information about a particular odour, is enormous.

Britannica

There was a high degree of convergence between the panel and survey outputs for the most popular journals, with more divergence further down the list.

Nature

We observed a good correlation between Rosetta all-atom energy, degree of convergence and structural accuracy (correlation coefficient of 0.93, Fig. 3c).

Nature

Expert writing Tips

Best practice

In mathematical contexts, ensure that you specify the metric used to measure convergence, such as pointwise convergence or uniform convergence, to enhance clarity.

Common error

Avoid using "degree of convergence" without specifying what is converging. For example, instead of saying 'The degree of convergence was high', specify 'The degree of convergence between the model predictions and the experimental data was high'.

Linguistic Context

The phrase "degree of convergence" functions as a noun phrase that typically acts as a subject or object within a sentence. It quantifies the extent to which different elements or processes approach a unified state or a common value. This phrase is usable in written English as confirmed by Ludwig.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

20%

Academia

10%

Less common in

Formal & Business

10%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "degree of convergence" is a noun phrase used to describe the extent to which different elements approach a unified state or common value. It is grammatically correct and most frequently used in scientific, academic, and news contexts. According to Ludwig, the phrase is indeed usable in written English. While primarily used in technical fields, it can also describe the alignment of ideas. When using this phrase, specifying the context is recommended to enhance clarity. Alternatives include "rate of approach" and "level of agreement".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

convergence speed

Highlights how fast the convergence occur

limit of the sequence

Specifies the value that a sequence approaches as the number of terms increases.

convergence factor

Highlights which factor impacts on the convergence

rate of approach

Focuses on the speed at which something is nearing a target.

degree of alignment

Refers to the extent to which things are in agreement or properly positioned.

level of agreement

Emphasizes the extent of shared understanding or consensus.

convergence index

Highlights the score or index of the convergence

measure of concurrence

Indicates how much two or more things happen or exist at the same time.

point of intersection

Highlights the specific point where two or more things meet.

extent of harmonization

Focuses on the process of making different things compatible or uniform.

FAQs

How is "degree of convergence" used in mathematics?

In mathematics, "degree of convergence" refers to how quickly a sequence or series approaches its limit. It is a measure of the rate at which the terms of the sequence get closer to the limit.

What is the difference between "rate of convergence" and "degree of convergence"?

While both terms relate to how quickly a sequence approaches a limit, "rate of convergence" specifically describes the speed, whereas "degree of convergence" can refer more broadly to the extent or level of approaching a limit or a shared value. You can use alternatives like "rate of approach" or "convergence speed".

In what fields is the term "degree of convergence" commonly used?

The phrase "degree of convergence" is commonly used in mathematics, statistics, engineering, and economics to describe how closely something approaches a specific value or limit.

Can "degree of convergence" be applied outside of technical contexts?

Yes, although less common, "degree of convergence" can describe the extent to which different ideas or opinions align or approach a consensus. For example, you might discuss the "degree of convergence" between different political viewpoints. You can use alternatives like "level of agreement" or "degree of alignment".