I am new here, so if I posted this in the wrong section of the forum, please forgive me and correct me when needed.
I've a small problem with using the floor function. First of all, I can't seem to be able to find a "good" definition of the floor function in mathematics. With "good" definition I mean, expressing the floor function as one function and not with "multiple functions" inside a function.
(Mostly if I know the correct definition I would rewrite the equation so I can do something with it, like when I handle something like: I would rewrite it to:
Next question is, what kind of operations can I do with a floor function? I will give some examples: , this is apparently true so I can't do this operation with a floor function. So what is possible?
This is used for answering my question: How can I simplify the following: ?
(if it's not possible please tell me, at this moment I do not believe it is possible because I do not know what kind of operations I can do with the floor function)
Thank you for your response and for your help!