of X is a mixture model of easily incredible distributions does that mean we can also efficiently encode P of X there we'll look at one the illustrations to get the point across the way that it's easy to draw on slides but keep in mind that we're covering a method that generalizes to higher dimensions and I've always want to do is do including of 1d variables you can use many many methods it's not about 1d that's just a way to draw things on the slide also will not allow ourselves to rely on that the main effects being small because the