- #1
vantroff
- 9
- 0
I've seen in books things like "G is mapping of plane into itself", "map of a set into itself" or "map of set/plane onto itself".
What exactly to map into/onto itself means? Do this means that when G maps into itself we get G as a result or we can also associate points on G to other points as long as they are on G?
If we have set S={1,2,3} what will mean to map it into itself?
The flowing thing?
1->1 S→S
2->2 S2→S2
3->3 S3→S3
Will "f:S→S where the image is S itself (i.e f(S)=S)" will be the correct notation(is there difference between the two, if they are correct at all?)
Some simple examples will be helpful.
Most of things I wrote probably make no sense, but I'm totally confused and google don't want to assist when I search about "mapping" and "maps". Giving me the right thing to search for or where to read about these things will be highly appreciated.
I also suppose that onto and into have different meaning, but I don't know what.
Thanks in advance to anyone who reply!
What exactly to map into/onto itself means? Do this means that when G maps into itself we get G as a result or we can also associate points on G to other points as long as they are on G?
If we have set S={1,2,3} what will mean to map it into itself?
The flowing thing?
1->1 S→S
2->2 S2→S2
3->3 S3→S3
Will "f:S→S where the image is S itself (i.e f(S)=S)" will be the correct notation(is there difference between the two, if they are correct at all?)
Some simple examples will be helpful.
Most of things I wrote probably make no sense, but I'm totally confused and google don't want to assist when I search about "mapping" and "maps". Giving me the right thing to search for or where to read about these things will be highly appreciated.
I also suppose that onto and into have different meaning, but I don't know what.
Thanks in advance to anyone who reply!