therefore F(x) equals: vs therefore F(x) is given by:

Both phrases are correct and commonly used in English. They are interchangeable and can be used to introduce the result of a mathematical function. The choice between them depends on personal preference or the need to vary the language used in a text.

Last updated: March 08, 2024 • 758 views

therefore F(x) equals:

This phrase is correct and commonly used in mathematical contexts to indicate the result of a function.

This phrase is used to introduce the value or expression that f(x) represents in a mathematical context.

Show examples from the web [+]

Sep 3, 2010 ... The sum of these potentials V (x, t) = ∑. 6 j=1 Vj(x, t) solves the initial-boundary- value problem. (5), and, therefore, f(x) equals to V (x, 0) : f(x) = 6.
abstract basis, and f preserves this directed join. Therefore, f(x) equals the join of the set {f(x/)|x/ is a token way below x}. Now the elements f(x/) might themselves ...

Alternatives:

therefore f(x) is equal to:
thus f(x) equals:
hence f(x) equals:
consequently f(x) equals:
so f(x) equals:

therefore F(x) is given by:

This phrase is correct and commonly used in mathematical contexts to introduce the expression or definition of a function.

This phrase is used to present the expression or definition that represents f(x) in a mathematical context.

Show examples from the web [+]

A  H. (1) Set u = 2 − 3x. Then x = (2 − u)/3, and we get f(u) = sin. ( π. (2−u. 3. )2) . This is true for any value of u. Therefore f(x) is given by f(x) ...

Alternatives:

therefore f(x) is defined as:
thus f(x) is given by:
hence f(x) is represented by:
consequently f(x) is expressed as:
so f(x) is given as:

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therefore F(x) equals: vs therefore F(x) is given by: