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be denoted by x vs let it be denoted by

Both phrases are correct, but they are used in different contexts. 'Be denoted by x' is used when you want to specifically state that something is represented by the variable x. 'Let it be denoted by' is used when you are introducing a new symbol or variable to represent something.

Last updated: March 19, 2024 • 2207 views

be denoted by x

This phrase is correct and commonly used in English.

This phrase is used to indicate that something is represented or symbolized by the variable x.

Examples:

The function f(x) can be denoted by y.
The unknown quantity is denoted by x in this equation.

Show examples from the web [+]

Similarly, a subset of X is a principal lower set of a poset (X, ≤) precisely if it can be denoted by X≤(x) for some x in X. And since ~ is the symbol for the ...
A topological space X, with topology T, will be denoted by (X, T). 1.3.2. A uniform space X, with uniform structure. U, will be denoted by. [X, U]; the topology which ...
honey, quantities of which will be denoted by x and y: x denotes loaves of bread and y denotes pints of honey. Neither the girls nor the boys are well endowed: ...
The particle's location is specified by its coordinate, which will be denoted by x or y. As the particle moves, its coordinate changes with the time, t. The change in ...

Alternatives:

is denoted by x
represented by x
symbolized by x
expressed as x
written as x

let it be denoted by

This phrase is correct and commonly used in English.

This phrase is used when introducing a new symbol or variable to represent something.

Examples:

Let it be denoted by y for clarity.
Let the unknown quantity be denoted by x in this equation.

Show examples from the web [+]

is a function of x only, let it be denoted by ξ( x). Then. will be an integrating factor of the given differential equation. Case 2: Consider the differential equation M ...
Definite integral. If the integral of the function f(t) exists, let it be denoted by F(t) + c. Then the definite integral of f(t) between the limits t = a and t = b is given by.
If the integral f ¡D) fails to exist, but Cauchy's principal value exists, let it be denoted by the same symbol /(#), and no further modifications are necessary. 417.
Toward that end, we consider the average of the groundwater levels from the three wells in the study database. Let it be denoted by. WELL, and consider, based ...

Alternatives:

assign it the symbol of
represent it as
use the notation of
designate it as
call it

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