motivated by a team that works and how you think about this analysis appropriate does this change so it was all like this so I would this result I would think as if this sufficient condition holds and you use a very small learning rate then the gradient on F theta F theta sub peak and you can construct a new function that is linear call it f bar theta T these are very close for a constant amount of time so a linear that gradient dynamics track those of a gradient dynamics on a linear model for some amount of time right but