let us denote

USAGE SUMMARY

"let us denote" is a correct and usable phrase in written English.
You can use it when introducing a definition or a concept. For example, "Let us denote the set of all real numbers as R."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Let us denote (19).

EURASIP Journal on Advances in Signal Processing

Let us denote, and.

Journal of Inequalities and Applications

Let us denote (1.1).

Journal of Inequalities and Applications

Let us denote this <Ramey, Singing>.

SEP

Finally, let us denote (4).

Journal of Inequalities and Applications

Let us denote by (5.1).

Journal of Inequalities and Applications

For, let us denote (2.14).

Boundary Value Problems

Let us denote that (44).

EURASIP Journal on Advances in Signal Processing

For, let us denote by (3.2).

Boundary Value Problems

Let us denote by this average value.

EURASIP Journal on Advances in Signal Processing

Let us denote u_=lv-Au_.

Boundary Value Problems

Expert writing Tips

Best practice

When using "let us denote", ensure the symbol or term you are introducing is clearly defined and consistently used throughout your text.

Common error

Avoid using the same symbol to denote different concepts within the same context. This can lead to confusion and ambiguity for the reader.

Linguistic Context

The phrase "let us denote" serves as an introductory element, signaling the introduction of a specific notation or symbol that will be used subsequently. Ludwig AI confirms it is a correct and usable phrase. This sets a convention to be followed, ensuring clarity and consistency in the text. Examples show it often precedes a mathematical expression or a defined term.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "let us denote" functions as a formal introduction to a definition or symbol assignment, primarily within academic and scientific contexts. Ludwig AI confirms it as grammatically sound and demonstrates its extensive use in research articles. Its purpose is to establish clarity and prevent ambiguity by explicitly linking a concept to its representation. While highly prevalent in scientific writing, its formality makes it less suitable for informal communication. Remember to use this phrase when introducing a new symbol or term in formal writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

let us define

Replaces "denote" with "define", focusing on establishing a meaning.

let us designate

Uses "designate" instead of "denote", implying a more formal assignment.

we will use the notation

Shifts the focus to the notation itself being used.

we shall represent

A more formal way of saying "we will denote".

for simplicity, we write

Adds a justification for the notation being introduced.

we introduce the symbol

Highlights the introduction of a new symbol.

for convenience, let

Emphasizes the convenience of the definition.

we name it

Focuses on assigning a name to something.

we term it

Emphasizes the use of a specific term.

we label it

Focuses on assigning a label to something.

FAQs

How to use "let us denote" in a sentence?

Use "let us denote" to introduce a new term or symbol. For example, "Let us denote the speed of light as c."

What can I say instead of "let us denote"?

You can use alternatives like "let us define", "let us designate", or "we will use the notation" depending on the context.

When is it appropriate to use "let us denote"?

It's appropriate to use "let us denote" when you are formally introducing a symbol, variable, or term that will be used in a mathematical or scientific context.

Is "let us denote" formal or informal?

"Let us denote" is considered a formal phrase, commonly used in academic and scientific writing.