Since the author is reading, a few small typos, followed by one slightly more substantial comment: 'simgoid' should be 'sigmoid' (S-shaped); `x y = log(x) + log(y)` should be `log(x y) = log(x) + log(y)`;'guarentee' should be 'guarantee'; 'recipricol' should be 'reciprocal'.<p>I would like to see some mention of the fact that the division by the gradient is a meaningless, purely formal <i>motivation</i> for the correct step (inverting the Hessian) that follows.