i am not sure it this is the right place for this question but could anyone show me the proof of cayley fransform where you show the map takes the set one to one onto the set ?
i am not sure it this is the right place for this question but could anyone show me the proof of cayley fransform where you show the map takes the set one to one onto the set ?
If then, by elementary algebra, , and conversely. Thus the map is invertible, and hence one-to-one, from to . Also, . That last condition says that the distance from w to i is less than the distance from w to –i, and that in turn is equivalent to .