- #1
Nert
- 6
- 0
Hey guys,
I was reading Kenneth's Discrete Mathematics and I came across this definition in the function chapter:
Let f be a function from A to B and let S be a subset of A.The image of S under the function f is the subset of B that consists of the images of the elements of S.We denote the image of S by f(S), so f(S) = {t | ∃s∈S (t = f(s))}.
We also use the shorthand {f(s) | s ∈ S} to denote this set.
My questions is:
1) What is the purpose of set S?
From my understanding, S is just a subset of A which has corresponding image for each element of S?
I was reading Kenneth's Discrete Mathematics and I came across this definition in the function chapter:
Let f be a function from A to B and let S be a subset of A.The image of S under the function f is the subset of B that consists of the images of the elements of S.We denote the image of S by f(S), so f(S) = {t | ∃s∈S (t = f(s))}.
We also use the shorthand {f(s) | s ∈ S} to denote this set.
My questions is:
1) What is the purpose of set S?
From my understanding, S is just a subset of A which has corresponding image for each element of S?