I have the following notation that should describe the nature of my function
$for \forall a \in A \exists f:A \rightarrow S, A \subset N, S \subset [0,1]^n,|S|=n$
Can anyone tell me is the notation correct for the descriptive definition below.
Function takes a natural number as an input(from set A) and outputs a vector of probabilities for each state(from set S).The size of the vector is the size of a set S. The probabilities should be all rational numbers from 0 to 1 inclusive.
Thank you in advance.