let denote

USAGE SUMMARY

The phrase "let denote" is a correct and usable part of a sentence in written English.
It can be used when outlining a mathematical definition or introducing a letter to represent a certain value. For example: "Let denote x as the length of the rectangle."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

(Let "#" denote this claim).

SEP

Let denote.

EURASIP Journal on Advances in Signal Processing

Let denote the threshold.

EURASIP Journal on Wireless Communications and Networking

We further let denote.

EURASIP Journal on Wireless Communications and Networking

Let denote by,, and,,.

Journal of Inequalities and Applications

Let denote the interval.

Fixed Point Theory and Applications

Let denote a block.

EURASIP Journal on Image and Video Processing

Let denote the set (3.28).

Advances in Difference Equations

Let denote the link quality.

EURASIP Journal on Wireless Communications and Networking

Let denote the propagation time.

EURASIP Journal on Advances in Signal Processing

Let denote the projection maps.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When introducing a symbol or variable, always clearly define it using "let denote" to avoid ambiguity in your writing. For example, "Let denote the number of participants in the study".

Common error

Avoid using "let denote" for concepts already established or widely known; reserve it for introducing new or specific notation within your document. Misusing it can lead to confusion and interrupt the flow of information.

Linguistic Context

The phrase "let denote" functions as a declarative verb phrase used to introduce and define a specific symbol, variable, or term. Ludwig confirms its grammatical correctness and usability.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "let denote" is a grammatically correct and very common phrase primarily used in formal scientific and mathematical writing to introduce and define symbols or terms. As Ludwig AI confirms, it is a standard way to establish a clear association between a notation and its meaning. While alternatives exist, such as "let represent" or "define as", "let denote" is especially appropriate when precision and unambiguity are essential. When employing this phrase, ensure it is used to introduce new notation and is not unnecessarily applied to already established concepts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

let symbolize

This alternative directly replaces the verb "denote" with "symbolize", maintaining the core meaning of assigning a symbol to represent something.

let represent

This alternative uses "represent" instead of "denote", focusing on the act of standing in for something else.

let designate

This is a direct synonym replacement, with "designate" serving a similar function to "denote".

define as

This alternative rephrases the statement as a definition, rather than an assignment of notation.

we define as

This alternative includes the subject "we" to emphasize the act of defining, making it slightly more formal.

it is defined as

This option emphasizes that the definition is established and accepted, using passive voice

we will use to indicate

This alternative focuses on the intended usage of the symbol, rather than its inherent meaning.

we will use to represent

This version highlights that a symbol will 'represent' something

use to indicate

This alternative omits the explicit declaration of "let", focusing on the action of indicating.

is defined to be

This alternative uses a more verbose structure to express the definition, adding emphasis.

FAQs

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

Use "let denote" to introduce a symbol or variable and assign a specific meaning to it. For example, "Let denote the set of all real numbers."

What can I say instead of "let denote"?

You can use alternatives like "let represent", "define as", or "let designate" depending on the context.

Is "let denote" formal or informal?

"Let denote" is generally considered a formal phrase, commonly used in mathematical, scientific, and technical writing. It's best suited for contexts where precision and clarity are paramount.

Can I use "let denote" to redefine a previously defined term?

While technically possible, redefining a term using "let denote" can cause confusion. It is best to avoid it unless you clearly indicate you are overriding the previous definition and provide a strong justification.