Re: think in sets
- From: "N. Silver" <mathelp@xxxxxxxxxxxxxxxx>
- Date: Thu, 29 Dec 2005 03:14:13 GMT
Gary Weselle wrote:
> Let E be a set, with subsets A in E and B in E, and * be
> the operation A * B = (E - A) intersect with (E - B),
> now using A, B and *, how can I express A U B
> the best I thought of is this;
> A * B = (Not A) intersect with (Not B) = not ( A U B),
> any more than that will need some explanations.
You have it, if complement (your "not") is allowed.
A*B = (A complement) intersect (B complement)
= (A U B) complement
So, A U B = A*B complement.
.
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