FYI, I'm pretty sure this is wrong: \ell ( \theta ) = \sum _ { i = 1} ^ { m } \operatorname{log} p ( x ; \theta ) Given that we're summing over i = 1 to m

FYI, I'm pretty sure this is wrong: \ell ( \theta ) = \sum _ { i = 1} ^ { m } \operatorname{log} p ( x ; \theta ) Given that we're summing over i = 1 to m (in the picture), I think that's supposed to be x_i :) Impressive, nonetheless.