that kind of make some points about this about this stuff and we'll go through them we won't go through the proofs or any you know super in-depth meaning but it's pretty cool to go through them and they are proved very rigorously as i said there's a 70 page appendix so have a look at that if you're up for it okay so they say here we have an update rule this is our update rule for our new hop field networks so the first theorem they say is the update rule that we propose converges globally if we apply the update rule repeatedly