So before even we get to, is it continuous functions?
Most of the stuff you've met so far is continuous functions.
Let ƒ be a continuous function on the real line.
So, in this case, it is a random continuous function.
On the other hand, your weight loss is in fact a continuous function, so each piece of data should be attached.
If not, what must be done to assure continuous function?
Since this often is not ambiguous one also may speak of continuous functions.
However, it is possible to move a sheaf from one space to another using a continuous function.
The state-feedback control law is not a continuous function of time.
There is nothing specific about domains and continuous functions here.