Re: More on lists and sets
From: Mikito Harakiri <mikharakiri_nospaum_at_yahoo.com>
Date: 27 Mar 2006 10:34:37 -0800
Message-ID: <1143484477.504649.180060_at_g10g2000cwb.googlegroups.com>
1 0
2 1
1 2
2 0
1 1
2 2
2 1 0
1 0 1
1 2 1
2 1 2
Date: 27 Mar 2006 10:34:37 -0800
Message-ID: <1143484477.504649.180060_at_g10g2000cwb.googlegroups.com>
Marshall Spight wrote:
> > > As join/intersection is noncommutative, we have left selection and right
> > selection.
>
> I don't see why it's not commutative.
Example:
1->2->1 /\ 2->1->2
A(x,y)
1 0
2 1
1 2
B(x,z)
2 0
1 1
2 2
Join the relations
A(x,y)&&B(y,z)
2 1 0
1 0 1
1 2 1
2 1 2
Order
A(x,y)&&B(y,z)
2 1 + 0*100 = 1 1 0 + 1*100 = 100 1 2 + 1*100 = 102 2 1 + 2*100 = 201
The result: 2->1->1->2
2->1->2 /\ 1->2->1
This have to be ordered differently
A(x,y)&&B(y,z)
1 0*100 + 1 = 1 2 1*100 + 0 = 100 2 1*100 + 2 = 102 1 2*100 + 1 = 201
The result: 1->2->2->1
The other example. Left join with natural numbers leaves list as it is. Right join sorts it in the ascending order. Again, I need couple more convincing examples. E.g. How to remove duplicates in this algebra? How to invert list? Received on Mon Mar 27 2006 - 20:34:37 CEST