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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
be denoted by
Grammar usage guide and real-world examplesUSAGE SUMMARY
"be denoted by" is a correct and usable phrase in written English.
It is typically used to describe how something is represented symbolically or to make clear how something is referred to and identified. For example: The symbol π is often denoted by the letter 'pi'.
✓ Grammatically correct
Science
Encyclopedias
Alternative expressions(20)
be represented by
be symbolized by
be indicated by
be designated as
be known as
be identified as
be expressed as
be referred to as
be labeled as
be designated by
be portrayed by
be assigned by
be referenced by
be construed by
be recorded by
be enumerated by
be mentioned by
be delineated by
be underreported by
be nominated by
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
The array may be denoted by (N, k, s, t).
Encyclopedias
Let the sides sought for the rectangle be denoted by a and b.
Encyclopedias
will be denoted by.
Science
For, the space will be denoted by.
Science
Let the symmetric key be denoted by.
Let it be denoted by Z 0j.
(In LT, the empty class would be denoted by 0).
Science
Let the uncertainty in focal depth be denoted by dZ.
Science
The identity operator on will be denoted by.
The volume of appropriate dimension will be denoted by.
Mathematical expectation will be denoted by (E [ cdot ]).
Expert writing Tips
Best practice
When using "be denoted by", ensure the symbol or notation you are introducing is clearly defined and consistently used throughout your writing.
Common error
Avoid using multiple symbols or notations to represent the same concept. Once a term is "be denoted by" a specific symbol, maintain that association throughout your document to prevent confusion.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "be denoted by" functions as a passive verb construction used to assign a symbolic representation to a term or concept. As Ludwig AI confirms, this phrase is a correct and usable part of written English. The examples show that it is used to formally introduce notations in technical and academic contexts.
Frequent in
Science
80%
Encyclopedias
10%
Formal & Business
5%
Less common in
News & Media
2%
Wiki
2%
Reference
1%
Ludwig's WRAP-UP
In summary, the phrase "be denoted by" is a grammatically sound and frequently used expression, as Ludwig AI confirms. It serves the purpose of formally assigning a symbolic representation to a term or concept, primarily within formal, scientific, and academic contexts. The phrase is "be denoted by" is prevalent in scientific publications and encyclopedias, reflecting its role in establishing precise and unambiguous relationships between concepts and their symbolic representations. When employing "be denoted by", clarity and consistency in notation are key to effective communication. Consider alternative phrases like "be represented by" or "be symbolized by" to adjust the nuance as needed.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
be represented by
Focuses on representation rather than specific symbolic meaning.
be symbolized by
Emphasizes the symbolic nature of the representation.
be indicated by
Highlights the act of pointing out or showing something.
be designated as
Stresses the act of formally assigning a particular name or symbol.
be known as
Emphasizes common knowledge or recognition.
be identified as
Focuses on the act of establishing the identity of something.
be expressed as
Highlights the manner in which something is conveyed.
be referred to as
Focuses on the act of mentioning or alluding to something.
be termed as
Highlights the specific vocabulary or terminology used.
be labeled as
Stresses the act of assigning a specific label or category.
FAQs
How can I use "be denoted by" in a sentence?
The phrase "be denoted by" is used to specify the symbol or notation that will represent a particular term or concept. For example, "The set of real numbers will "be denoted by" the symbol ℝ."
What is a good alternative to "be denoted by"?
Alternatives include "be represented by", "be symbolized by", or "be indicated by". The best choice depends on the specific context and the nuance you want to convey.
What does it mean when something is "denoted by" a symbol?
When something is "denoted by" a symbol, it means that the symbol is used to represent that thing in a concise and standardized way. This is common in mathematics, science, and other technical fields.
Which is correct, "is denoted by" or "is denominated by"?
"Is denoted by" is the correct phrase to use when specifying a symbol or notation. "Is denominated by" refers to the units in which something is expressed, such as currency or measurement.
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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
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested