ii: L = 1

 U = 2n+l

 A = 2


j1: L = L.

 U = U.

 A=


For n=3 the IDM is


 1

 3
ii
 5

 7


1 2 3 4 5 6 7

x

X X x

x x x x x

x x x x x x x


with three more variables than equations. If n is increased to 4,

i.e., if one equation is added, the IDM becomes

 j1


1 2 3 4 5 6


 1

 3

ii 5

 7

 9


7 8 9


which has four more variables than equations. Acceleration of

variables produces the condition where a solution procedure must be

derived for particular sets of function index ranges, and thus precludes

any universal applicability of solution procedures. For this reason it

is desirable to avoid acceleration of variables. The following

theorem indicates how that can be insured.


x

X x X

x x x x x

x x x x x x x

x x x x x x x x x
X X X X XX X