get the interval here isn't the ball here isn't the ball and so forth so that's that's a way you can discretize continuous variables with equal probability analysis or doing it tacitly on the x axis we can look at something called the discretized variable X this crisis interval with T and then so this is this version of it okay look at the entropy of that variable which will be probability of being in the interval I which is T which is the width times the height P of X I and so this approximation of an integral and then