The Real World and Minimization---II

• will have a bunch of hills and valleys and we are trying to discover the location of the lowest point in the valley.

• If our assumptions are correct, then is just a neat quadratic function, and we have found a step that exactly moves to the minimum.

  

• Unfortunately, this is not usually correct, as the step maybe too large to support the assumption, that terms in , are zero, to be correct.