be denoted by x vs let the length be denoted by

Both phrases are correct, but they are used in different contexts. 'Be denoted by x' is commonly used in mathematical or technical contexts to indicate that a variable or quantity is represented by the symbol x. 'Let the length be denoted by' is also correct and is more general, suitable for any context where you want to assign a symbol to represent a specific value or property.

Last updated: March 19, 2024 • 1192 views

be denoted by x

This phrase is correct and commonly used in mathematical or technical contexts to indicate the representation of a variable or quantity by the symbol x.

This phrase is used to specify that a particular variable or quantity is represented by the symbol x in mathematical or technical discussions.

Examples:

The unknown quantity can be denoted by x in this equation.
Let the function f(x) be denoted by y for simplicity.

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:

be represented by x
be symbolized by x
be indicated by x
be expressed as x
be defined as x

let the length be denoted by

This phrase is correct and can be used in various contexts to assign a symbol to represent a specific value or property, such as length.

This phrase is suitable for general situations where you want to specify that a particular value or property, like length, is represented by a symbol.

Examples:

Let the length be denoted by L for further calculations.
In this problem, let the speed be denoted by v.

Alternatives:

assign the symbol for the length as
represent the length by
use the symbol L to denote the length
indicate the length as
define the length as

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be denoted by x vs let the length be denoted by

be denoted by x

let the length be denoted by

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