high dimensions that the the vectors will be kind of separated well from each other as long as we don't have too many but this paper shows that all these properties for the modern hopfield networks that hold for binary strings still hold if you go to these kind of um continuous to these vector patterns that means you can store exponentially many patterns in the dimensions of the vector which is pretty surprising right because you'd think like you know after you have one vector per dimension that you know after that it might get a bit shaky but