ignored the thing at the bottom that does not depend on X that's key here there's no X in here so what we're computing is a table with entries that depend on X every X will have its own entry and we know all of them are missing the same rescaling which we've ignored and we but we can find the rescaling by remembering that actually every all the entries in the table have to sum to one and so summing all the entries in that table will actually compute this thing over here mathematically we know that's a way to