to one that's old is this and often will write this as just 1 over Z times P Y given x times px or it turns out in a probabilistic robotics book notation they love to use it I so often write as a dot x py given x times PX so we don't have too much worry about the thing at the bottom that's just a normalization we just want to understand a thing at the top which brings together the thing for which we are able to build a model which is the relationship from X to Y and how we can then use it assuming we have a prior over X use it to get the