Used and loved by millions
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 we denote
Grammar usage guide and real-world examplesUSAGE SUMMARY
"which we denote" is correct and usable in written English.
You can use this phrase when you want to introduce something that has been identified, named, or labeled in some way. For example, "The students took a test, the results of which we denote as A, B, and C."
✓ Grammatically correct
Science
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 we denote by ES s (L).
One tick of comprises several microticks which we denote by.
So we have here a mapping of F(P) into R, which we denote by γ· u).
Science
These are the irreflexive, or strict versions, which we denote by \(U^{s}\) and \(S^{s}.\) They are more expressive.
Science
Assume that IΓ has one element, which we denote by w.
Science
In this way we obtain the functions which we denote by.
Also we compile a list of common false positives which we denote to as a blacklist.
Science
Therefore, there exists a subsequence of which we denote by the same weakly converges to.
They form a loop, which we denote by (mathbb {Z}{{ X_1,ldots, X_n}}^*).
The term in parenthesis is the cost share, which we denote by α i.
In this case system (2.1) has a unique endemic equilibrium, which we denote by (E_{2}).
Expert writing Tips
Best practice
When using "which we denote", ensure the denoted term or symbol is clearly introduced and consistently used throughout the text to avoid confusion.
Common error
Avoid using "which we denote" and then inconsistently using the denoted term or symbol later in the text. Always maintain clarity and consistency in your notation.
Source & Trust
85%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "which we denote" serves as a defining relative clause. It introduces a specific term, symbol, or label that the writer will use to refer to a particular concept or entity. Ludwig AI confirms this is a correct usage pattern.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Academia
0%
Ludwig's WRAP-UP
In summary, "which we denote" is a phrase used to introduce a specific term, symbol, or label that will be consistently used throughout a text. Ludwig AI confirms its correctness and prevalence, particularly in academic and scientific writing. While grammatically sound and highly functional for establishing clarity, remember to maintain consistency in using the denoted term. Consider alternatives such as "which we define as" or "referred to as" depending on the context and level of formality. Finally, it is crucial to ensure the denoted term is clearly introduced and consistently used throughout the text.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
which we define as
Emphasizes a formal definition being provided.
which we term
Highlights the act of giving a specific term or name.
which we designate as
Focuses on formally assigning a role or function.
referred to as
Indicates a common or established name.
otherwise known as
Suggests an alternative, often more common, name.
that is called
A simpler way to introduce a name or label.
that is labeled
Highlights the act of labeling something.
for which we use the term
Emphasizes the specific term chosen for clarity.
which we identify as
Focuses on recognizing or classifying something.
that we call
A direct and straightforward way to introduce a name.
FAQs
How do I use "which we denote" in a sentence?
Use "which we denote" to introduce a specific term, symbol, or label that you will be using to refer to something. For example, "The critical value, "which we denote" as α, determines the significance level."
What are some alternatives to "which we denote"?
You can use alternatives such as "which we define as", "referred to as", or "that is called" depending on the context.
Is it better to use "which we denote" or "which we define as"?
The choice depends on the context. "Which we denote" is suitable when assigning a symbol or label, whereas "which we define as" implies providing a formal definition.
What's the difference between "which we denote" and "that we call"?
"Which we denote" is more formal and often used in technical writing, while "that we call" is a simpler and more informal way to introduce a name or label.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
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
4.5/5
Expert rating
Real-world application tested