- #1
binbagsss
- 1,261
- 11
Homework Statement
HiI am following this proof attached and am just stuck on the bit that says:
Identity exists, inverse exists, closure and associativity
I believe it may be using the ‘converse’ of closure so something like if ##a \in \Omega ## and ##b## is not then ##a+b## is not in ##\Omega## ?(not a true converse since it is necessary , not sufficient..but..)
Lastly, if this was the case, there should be a ##\epsilon_1## and a ##\epsilon_2##, surely there is nothing to suggest that the discrete points in the set ##\Omega## are equally spaced? (unless ofc, it is a set of periods, which in this case it is, but this hasn’t been derived quite yet, this comes after).I’m probably way off track, but help much appreciated.
Many thanks
Homework Equations
see above
The Attempt at a Solution
see above