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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
are as defined
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "are as defined" is correct and usable in written English.
It can be used when referring to definitions or specifications that have been previously established in a document or context. Example: "The terms used in this agreement are as defined in Section 2 of the contract."
✓ Grammatically correct
Science
News & Media
Formal & Business
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
Saturday 10 a.m. 5) CRUISING THE MAIN Few European cities are as defined by their skylines as Frankfurt.
News & Media
When you are as defined by your military prowess as Jaime Lannister is, what do you do when that prowess is taken away?
News & Media
Other variables are as defined in WGP.
and are as defined in Theorem 2.1.
All other variables are as defined before.
Science
Symbols are as defined in Fig. 4.
Science
where the variables are as defined previously.
All the other variables are as defined above.
where variables and parameters are as defined above.
where Y, G, X and Z are as defined earlier.
where the transfer functions are as defined in (25 - 28 25 - 28
Expert writing Tips
Best practice
When using "are as defined", ensure that the definition you are referring to is clear and readily accessible to your audience. Provide a specific reference (e.g., "as defined in Section 2.1") for clarity.
Common error
Avoid using "are as defined" without a clear reference to where the definition can be found. Unclear references can lead to confusion and misinterpretation.
Source & Trust
85%
Authority and reliability
4.4/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "are as defined" functions as a reference marker, directing the reader to previously established definitions or specifications. This is confirmed by Ludwig, which indicates the phrase's proper usage in contexts where clarity and precision are essential.
Frequent in
Science
75%
News & Media
15%
Formal & Business
10%
Less common in
Wiki
0%
Encyclopedias
0%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "are as defined" is a grammatically sound and frequently used expression, particularly in scientific and technical writing. Ludwig's analysis confirms its correctness and utility for referring back to previously established definitions. When employing this phrase, ensure that your references are clear to avoid ambiguity. While "are as defined" is suitable for formal contexts, remember to consider alternative phrases for less formal writing. The frequency of this phrase in scientific literature suggests its importance in maintaining precision and clarity in academic discourse.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
are as specified
Focuses on adherence to explicit instructions or criteria already presented, rather than broader definitions.
are as outlined
Highlights that details are described in a structured and organized manner, often in a document.
are as indicated
Emphasizes a sign, signal, or instruction that guides understanding, implying a less formal direction.
are as stipulated
Suggests a condition or requirement that must be met, typically in legal or formal contexts.
are as detailed
Implies a thorough explanation has been provided previously, with an emphasis on comprehensive information.
are as mentioned above
Refers specifically to content that has been discussed in the immediately preceding text.
are as previously stated
Highlights that the information has been communicated at an earlier point in the context.
are according to the definition
Focuses on strict adherence to a formal or technical definition, often used in academic or scientific writing.
are in accordance with
Stresses compliance or agreement with established rules, standards, or guidelines.
are in line with
Suggests alignment or agreement with a particular standard, principle, or objective.
FAQs
How do I use "are as defined" in a sentence?
Use "are as defined" to refer back to terms, variables or concepts that you've already introduced and explained. For example, "The variables in Equation 3 "are as defined" in Section 2."
What can I say instead of "are as defined"?
You can use alternatives like "are as specified", "are as outlined", or "are in accordance with" depending on the specific context.
Is it appropriate to use "are as defined" in informal writing?
What's the difference between "are as defined" and "are as follows"?
"Are as defined" refers back to something that has already been explained, while "are as follows" introduces a list or explanation that is about to be provided.
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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
85%
Authority and reliability
4.4/5
Expert rating
Real-world application tested