Consider the following expression:
$x\cdot a\cdot b$
In programming you could define a function $f(x,a,b)$ to assign values to all the variables. However, since I cannot remember seeing such notation being used in purely mathematical context, I am somewhat unsure whether I can do this in my math paper.
Hence, I have two questions:
- Is it ok to define a function as $f(x,a,b)=x\cdot a\cdot b$?
- If yes, can I refer to this function later in the paper as simply $f(x)$, omitting the other two variables? I guess what I am asking is whether $f(x,a,b)=f(x)$?