Tue 28 Mar, 2006 03:45 am - Hi all! I'm trying to prove:
Domain(S COMPOSITE R) is a subset of Domain(R)
With R being a relation from a set A to a set B and S being a relation from set B to a set C.
I need to... (view)
Thu 2 Mar, 2006 09:02 pm - Yeah, I know. The proof you're talking about uses the Fundamental Theorem of Arithmetic (Prime Power Factorization) and then some re-arranging to get the desired result.
The WOP states that... (view)
Thu 2 Mar, 2006 06:52 pm - Use the Well Ordering Principle to prove that every positive integer can be written as the product of a square and a square-free integer.
Note:
A square-free integer has no divisor bigger... (view)
Thu 2 Mar, 2006 06:50 pm - Prove that for all intervals A, B, C if
A INTERSECT B INTERSECT C = NULL SET,
then one of the intervals is contained in the union of the other two. (view)
Thu 2 Mar, 2006 06:48 pm - Let f : B --> C, g : A --> B, and h : A --> B be functions satisfying
f dot g = f dot h.
Prove or disprove:
(a). If f is surjective, then g = h.
(b). If f is injective, then g... (view)
Mon 12 Dec, 2005 01:29 am - [quote="timberlandko"]If it was easy, it wouldn't be a course assignment. You've got the tools to do what you need to do, doing it is up to you. That's school.[/quote]... (view)
Sun 11 Dec, 2005 06:59 pm - Hi there! I really appreciate all the information you've provided but it's nothing I didn't know already. It still doesn't answer my question. All I want to show is that the... (view)