is defined as below

USAGE SUMMARY

The phrase "is defined as below" is correct and can be used in written English.
It is used to introduce a definition or description of something. For example, "Conflict resolution is defined as below: the practice of resolving a dispute or a conflict by reaching a mutually agreed-upon solution."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

37 human-written examples

The distance is defined as below: where c1 and c2 denotes the most informative child node of x1 and x2, respectively.

BMC Genomics

It is defined as below, f y j, y j - 1, j, x = x 1, j I { y j = u }, where u is 0 or 1 which will be the label of that bin.

BMC Genomics

POS_PER is defined as below, where i is the sequence number of the residue and N is the total number of the interface residues: P O S _ P E R = C O R E _ R I M × i N. ROT4 and ROT5 stand for the total numbers of the side chain rotatable single bonds to target residues for the residues within 4.0Å and 5.0 Å, respectively.

BMC Systems Biology

Just 27 million seek treatment, and only half of them get their blood pressure under control, which is defined as below 140/90 millimeters of mercury.

The New York Times - Science

It is defined as below: (2).

EURASIP Journal on Wireless Communications and Networking

A perceptual formant distance is defined as below: (2).

EURASIP Journal on Audio, Speech, and Music Processing

Human-verified similar examples from authoritative sources

Similar Expressions

23 human-written examples

I agree that, for the purposes of box-checking, "above" shall be defined as "below" and "below" shall be defined as "above," unless the box below is checked.

The New Yorker

The different constraints used to solve O are defined as below.

Journal of Modern Power Systems and Clean Energy

The linguistic rules for handling this problem are defined as below.

Journal of Petroleum Exploration and Production Technology

The sensor positions and the BS position are defined as below.

EURASIP Journal on Wireless Communications and Networking

Incompressible and steady flow equations in turbulence conditions can be defined as below.

International Journal of Energy and Environmental Engineering

Expert writing Tips

Best practice

Use "is defined as below" to introduce a formula, equation, or principle when the specific details follow immediately. For example: "The equation is defined as below: y = mx + b."

Common error

Avoid using "is defined as below" without providing the promised definition immediately afterward. Always ensure that a clear and concise definition follows the introductory phrase.

Linguistic Context

The phrase "is defined as below" serves as an introductory signal, indicating that a definition or explanation will be provided immediately following it. This function is supported by Ludwig AI's analysis and numerous examples.

Expression frequency: Very common

Frequent in

Science

81%

News & Media

9%

Formal & Business

5%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "is defined as below" is a grammatically sound and frequently used phrase that serves the purpose of introducing a definition or explanation. Ludwig AI confirms its correctness and prevalence, particularly within scientific and academic writing. While alternatives like "is defined as follows" exist, the key is to ensure the definition is clear and immediately follows the introductory phrase. The phrase's formality makes it less common in informal settings, as evidenced by its usage patterns across various sources. Therefore, writers should use this phrase to effectively signpost definitions and explanations in their texts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is defined as follows

Changes the word "below" to "follows", creating a slightly more formal tone.

is defined in this way

Uses "in this way" instead of "below", offering a more descriptive approach.

is defined as shown below

Adds "shown" to explicitly indicate a visual representation is coming.

is defined in the following manner

Replaces "below" with the more formal "in the following manner".

can be defined as below

Adds "can be" to indicate possibility or allowance for definition.

is characterized as below

Uses "characterized" instead of "defined", highlighting defining traits.

is explained as below

Employs "explained" to emphasize the act of making something clear.

is specified as below

Utilizes "specified" to highlight precision in the definition.

is given by the following

Shifts the focus to the source providing the definition.

is represented as below

Highlights how something is portrayed or symbolized.

FAQs

How can I use "is defined as below" in a sentence?

You can use "is defined as below" to introduce a definition, formula, or concept that will be explained immediately afterwards. For instance, "The term 'algorithm' is defined as below: a process or set of rules to be followed in calculations or other problem-solving operations."

What are some alternatives to "is defined as below"?

Alternatives include "is defined as follows", "is defined in this way", or "can be defined as below", depending on the desired level of formality and context.

Is it grammatically correct to say "is defined as below"?

Yes, "is defined as below" is grammatically correct and widely used, especially in technical and academic writing, to introduce a definition or explanation that will follow.

What is the difference between "is defined as below" and "is defined as follows"?

While both phrases serve a similar purpose, "is defined as follows" is generally considered more formal and might be preferred in certain contexts. "Is defined as below" implies that the definition or explanation is presented after the phrase.