=
means to take the union of
1( r , a )'s
for all states r that are reachable from some state
in
1*( q , w )
through zero or more
arcs.
Since
1*( q , w )
is a
-closure, any state reachable
from any of its states
through zero or more
arcs is already in
1*( q , w ). Hence to find
all we need is to take the union of
1( r , a )'s
for all r in
1*( q , w ) , which is
.
=