Hi,
the point is that you can make room in the hotel by changing the map occupant -> his_room_number.
This does not work in a finite hotel.
Of course, without resettling the occupants you will not find a room that is not occupied.
Hello,
in statistics, one can derive the moments of a distribution by using a generating function
<x^n> = \int dx x^n f(x) = \left( \frac {d}{dt} \int dx \exp(tx) f(x) \right)_{t=0} = \left( \frac d {dt} M(t) \right)_{t=0}
Is there a similar method to derive the multipole moments in...