Notes on variables

things to talk about eventually:

Concepts to discuss:

Mathematicians and computer scientists are usually not careful with a function versus the output of a function. So for instance when using the big-Oh notation, people will write (which is imprecise, because it doesn’t specify what the input variable is; is the parameter or a constant?) instead of “, where ” or “”.

Similarly, when dealing with Laplace transforms, it seems common to write both and ; but is not present on the left hand side of either denotation! To be pedantic, we would need to write or or .

In differential equations, it also seems common to write something like but is a function depending on , so shouldn’t it instead be the following? Or more simply