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2933
where c;;=a,.g; and /; is the j-th component of the normalized
voN NEUMANN output configuration, ° Nif
‘erentiating (/7* with respect to F +
44)
i -4- Tic as
where
1 Aùuoil dF
Lo ,; / dF,+ 2; du,
and a; is an (»-1) x (#-1) matrix obtained by omitting the i-th
row and the :-th column from a; b; and c; are similarly defined.
As a;+b;+c; is a non-negative matrix with row sums less than
unity, any diagonal element of (I—a,——b;—c;)7! is greater
than off-diagonal elements of the corresponding column. On
the other hand, by our definition of the technical change of the
labour-saving type, we have
45,
In view oi
m
+
We assume tha. ,,
positive.
Si
Morishima - pag. 2,