denote by

USAGE SUMMARY

"denote by" is correct and usable in written English.
You can use it when you are introducing an abbreviation or symbol, or when you are indicating what something stands for. For example, "The letter x is used to denote by the variable x in the equation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Notations We denote by.

Journal of Inequalities and Applications

Finally, we denote by.

Journal of Inequalities and Applications

Let denote by,, and,,.

Journal of Inequalities and Applications

Denote by the sum.

Boundary Value Problems

with We denote by.

Advances in Difference Equations

We also denote by.

Advances in Difference Equations

Denote by its limit.

Fixed Point Theory and Applications

Denote by this solution.

Advances in Difference Equations

and we denote by.

Journal of Inequalities and Applications

For, denote by.

Fixed Point Theory and Applications

Let us denote by (5.1).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When introducing a new symbol, clearly define it using "denote by" to avoid ambiguity for the reader. For instance, "Let 'x' denote by the unknown variable in the equation."

Common error

Avoid using "denote by" interchangeably with phrases like "defined by" or "described by". "Denote by" is specifically for assigning a symbol or representation, while the others imply definition or description of characteristics.

Linguistic Context

The phrase "denote by" functions as a declarative verb phrase, introducing a symbolic representation or assignment. This is evident in Ludwig's examples, where it clarifies the meaning of symbols within scientific and mathematical contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "denote by" is a grammatically correct and highly common verb phrase used to assign a symbolic representation, particularly in formal and scientific writing. As confirmed by Ludwig AI, its purpose is to ensure clarity and precision by explicitly linking a symbol to its meaning. While it is crucial to use "denote by" for symbolic assignments, be mindful not to interchange it with phrases signifying definition or description. Alternatives like "represent as" can be employed depending on the nuances of the context. By following these guidelines, you can effectively use "denote by" to enhance the clarity and accuracy of your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

represent as

Emphasizes the action of representing rather than the specific symbolism.

symbolize with

Focuses on the use of symbols for representation.

indicate by

Highlights the act of pointing out or specifying using a particular symbol.

define as

Implies a more formal and explicit definition using a symbol.

let it be

A more concise way of assigning a label or symbol.

use the symbol

Focuses on the action of using a specific symbol.

refer to as

Highlights the act of calling something by a particular name or symbol.

identify as

Focuses on equating something with a specific symbol.

designate as

Emphasizes the act of formally assigning a symbol.

mark as

Highlights the act of making something noticeable with a mark or symbol.

FAQs

How do I use "denote by" in a sentence?

"Denote by" is used to specify what a symbol or term represents. For example, "Denote by 'V' the volume of the container."

What can I say instead of "denote by"?

You can use alternatives like "represent as", "symbolize with", or "indicate by" depending on the context.

Is it grammatically correct to say "is denoted by"?

Yes, "is denoted by" is the passive form and is perfectly correct. For example, "The area is denoted by 'A'."

What is the difference between "denote by" and "define as"?

"Denote by" introduces a symbolic representation, while "define as" provides a full definition. For example, you might "denote by" 'π' the ratio of a circle's circumference to its diameter and "define as" an irrational number.