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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
which is defined as
Grammar usage guide and real-world examplesUSAGE SUMMARY
"which is defined as" is correct and usable in written English.
This phrase is used to introduce an explanation of a term or concept that someone has just mentioned. For example, "Virtue signaling is a term used to describe the habit of publicly expressing views that are seen to be virtuous, which is defined as having moral excellence and righteousness."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
that is to say
namely
in other words
that means
that is
that refers to
more precisely
expressed as
formally known as
which is characterized as
which is characterised as
which is determined as
which is identified as
which is considered as
which is translated as
which is marketed as
which is known as
which is given as follows
which is formulated as follows
which is explained as follows
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
which is defined as (1.15).
The latter, which is defined as is equal to 632 k0 under simplified conditions.
Science
Her condition was diagnosed as S.R.E.D., which is defined as compulsive eating occurring during partial arousals from NREM sleep.
News & Media
Because of something called activation energy, which is defined as the minimum energy necessary to start a chemical reaction.
News & Media
which is defined as.
Theorem 1: Give a matrix U, which is defined as.
where is the indicator function, which is defined as (14).
We use which is defined as [12 14] with.
This approach overlooks the relationship between events, which is defined as coupled information in this paper.
The bending operation involves springback, which is defined as elastic recovery of the part during unloading.
Science
These ratios are assembled in a vector, which is defined as damage indication vector (DIV).
Expert writing Tips
Best practice
When using "which is defined as", ensure that the definition provided is accurate and consistent with established conventions in the relevant field.
Common error
Avoid using "which is defined as" when the definition is already implied or obvious from the context. Overuse can make the writing seem unnecessarily verbose.
Source & Trust
81%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "which is defined as" functions as a defining relative clause. It introduces a definition or explanation of a preceding term or concept. As Ludwig AI confirms, it serves to clarify the meaning of a term, ensuring clarity and precision in communication. The phrase is used to add additional information.
Frequent in
Science
70%
News & Media
15%
Formal & Business
10%
Less common in
Encyclopedias
2%
Wiki
2%
Reference
1%
Ludwig's WRAP-UP
In summary, "which is defined as" is a common and grammatically correct phrase used to introduce definitions. As Ludwig AI confirms, the phrase is used to add additional information. It is most frequently found in scientific and formal contexts, serving to clarify terms and concepts. While highly useful, writers should avoid overuse and be mindful of potential redundancy. Consider using synonyms like "that is to say", or "namely" for variety. By following these guidelines, writers can effectively use "which is defined as" to enhance clarity and precision in their writing.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
which is understood to mean
Replaces 'defined' with 'understood to mean', emphasizing interpretation over strict definition.
that is to say
More conversational and less formal, suitable for simplifying complex terms.
namely
Introduces a specific example or clarification of the preceding statement.
in other words
Offers a restatement of something in simpler terms.
that means
Directly explains the implication or result of a statement.
that is
Used for clarification or to provide more detail.
that refers to
Focuses on the reference or denotation of a term.
more precisely
Adds specificity and accuracy to a previous statement.
expressed as
Highlights the expression or formulation of something.
formally known as
Indicates the official or established name of something.
FAQs
How do I use "which is defined as" in a sentence?
Use "which is defined as" to introduce the meaning of a term or concept. For example: 'A heuristic is a problem-solving approach, "which is defined as" employing a practical method not guaranteed to be optimal or perfect, but sufficient for the immediate goals'.
What can I say instead of "which is defined as"?
Alternatives include "that is to say", "namely", or "in other words". The best choice depends on the context and the desired level of formality.
Is it correct to use "which is defined as" multiple times in the same paragraph?
While grammatically correct, using "which is defined as" repeatedly can make your writing sound repetitive. Consider rephrasing some definitions or using synonyms to improve readability.
What is the difference between "which is defined as" and "which means"?
"Which is defined as" is typically used for formal definitions, while "which means" is a more general way to explain or clarify something. "Which means" often implies a broader interpretation or consequence, rather than a strict definition.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.5/5
Expert rating
Real-world application tested