What is the notation for denoting constants in a function?

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SUMMARY

The notation for denoting constants in a function is flexible, with common representations including f(x; a, b) and f_{a,b}(x). In the function f(x) = ax + b, the constants a and b can be explicitly indicated as parameters to clarify their role. The use of a semicolon is a recognized method to separate constants from the independent variable in function notation. This approach enhances clarity in mathematical expressions involving constants.

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Looking for the mathematical expression for a parameter in a formula
I remember in grad school encountering the notation for what was referred to as either a parameter of a function or something like a constant variable.

For example, typically we denote a function as f( x ), where x is the independent variable.
If the function f( x ) = ax + b, then a and b are constants.

My question is how would I write the function to denote that it is using constants a and b, which aren't exactly variables but they can be changed.

Something like f( a, b ... x ) ?

I don't remember how to denote it, but I remember there was a way of doing so.
Does anyone know?
 
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It could be written as ##f(x;a,b)## or ##f_{a,b}(x)## but there is no one and only answer. You can do it as you like as long as it's obvious - or explained - what is meant.
 
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Ah, it was the semicolon. That is what I saw. Fantastic!

Thanks for the speedy reply.
 
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