as established by

USAGE SUMMARY

"as established by" is correct and can be used in written English.
It is typically used to introduce a source or authority that has already confirmed something as being true. For example, "As established by the Supreme Court, the right to privacy is guaranteed under the U.S. Constitution."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Wiki

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The output yield/input output ratio is taken as 45%% for dried meat chunks as established by studies.

International Journal of Energy and Environmental Engineering

Oregon elections are conducted exclusively by mail, as established by a 1998 referendum.

Encyclopedia Britannica

These allegations are incompatible with the truth as established by the police and validated by court rulings.

The New York Times

I think the culture was, as established by Tassone, was that this is the way they did things".

The New York Times

Lees Ferry also marks the boundary between the river's upper and lower basins, as established by the 1922 compact.

The New Yorker

* Palestinian performance on judicial, administrative, and economic benchmarks, as established by the International Task Force on Palestinian Reform.

The New York Times

Hewitt listed the stock's value as established by recent trades.

Forbes

First of all we could regard them as established by mutual coherence.

SEP

The elementary plane wave in each stratified layer, as established by Nagano et al.

Earth, Planets and Space

The skeleton was aged using transition analysis as established by Boldsen et al.[32].

Heritage Science

Sizing was performed by an independent musculoskeletal MRI radiologist as established by the literature.

Arthroscopy: The Journal of Arthroscopic & Related Surgery

Expert writing Tips

Best practice

When using "as established by", ensure the source you are citing is credible and relevant to your claim. This adds authority to your statement.

Common error

Avoid vague references. Instead of saying "as established by experts", specify the expert or study to strengthen your argument.

Linguistic Context

The phrase "as established by" functions as a prepositional phrase introducing a clause. It serves to attribute a claim, fact, or principle to a specific source or authority, lending credibility and support to the statement. Ludwig AI confirms its grammatical correctness and usage across multiple contexts.

Expression frequency: Very common

Frequent in

Science

56%

News & Media

28%

Wiki

7%

Less common in

Encyclopedias

2%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "as established by" is a grammatically sound and frequently used phrase to attribute information to a credible source. It functions as a prepositional phrase that enhances the credibility and persuasiveness of a statement. Ludwig AI confirms its validity across various domains, including science, news, and academic writing. While predominantly found in formal and scientific contexts, its usage extends to news and general knowledge, making it a versatile tool for writers aiming to support their claims with authoritative evidence. When using this phrase, it's crucial to cite reliable sources to bolster the argument effectively.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as shown by

Focuses on visual evidence or demonstration.

as demonstrated by

Emphasizes proof through a specific action or example.

as proven by

Highlights the conclusive nature of the evidence.

according to

Attributing information directly to a source.

based on

Indicates a foundation or grounds for a claim.

as indicated by

Suggests evidence that points towards a conclusion.

as validated by

Emphasizes the process of confirmation.

as confirmed by

Highlights the act of verifying information.

as determined by

Focuses on the process of reaching a conclusion through investigation or analysis.

ascertained by

Indicates something that was discovered with certainty.

FAQs

How do I use "as established by" in a sentence?

Use "as established by" to introduce a fact or idea that has been confirmed by a reputable source. For example, "As established by the World Health Organization, regular exercise is crucial for maintaining good health."

What phrases can I use instead of "as established by"?

You can use alternatives such as "according to", "as shown by", or "based on" depending on the context.

Is it better to say "as established by" or "according to"?

Both phrases are acceptable, but "as established by" emphasizes that the information has been proven or confirmed, while "according to" simply attributes the information to a source.

What's the difference between "as established by" and "as determined by"?

"As established by" indicates that something has been definitively proven or confirmed, whereas "as determined by" suggests a conclusion reached through a specific process or method.