Homework Statement
(1 2 3 4 5 6 7)
(1 2 5 4 3 6 7)
is s, a permuation.
Find sgn(s).
Homework Equations
The sgn of a transposition is -1.
Sgn(s)=Product of [sgn(j)-sgn(i)]/(j-i) when 1<=i<j<=n
The Attempt at a Solution
I calculated the sgn(s) using the formula and got 1. But...
I am trying to understand the following theorem:
An ordered field has the least upper bound property iff it has the greatest lower bound property.
Before I try going through the proof, I have to understand the porblem. The problem is, I don't see why this would be true in the first...