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This forth page of notes is the conclusion that is come to from the previous three pages. The circle which is created with the sums around the circumference is moved in to a center placement and this is a many to one map. but the many refers to all of the same sums just added in a different order. This seems to be a way of changing the dimension of a ring from two dimensions to zero dimensions. Then also we could see each sum on the circumference of the circle as a little circle itself.