space if we look at you know you might want to start the student here and the minimum is right here and you might want to think that if i learn the same thing then the minima are fairly close together right so the the teacher's minima might be here and the student minima might be fairly close so it might be beneficial if i if i start not over here but actually start at the teacher's minimum but this doesn't always seem to be the case and that is a fairly interesting observation because it kind of means that we're talking about