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229
input. There is no restriction that the same function or set of
functions must be used for each input. Thus, we can have
//(·^o>···
,
x
m-0
=
£o,fv*o)*
'
=
"»···»
k-l
9
\?>-5
fi+k&o* ···»
x
m-i '
=
8i
f
i\
x
\)
*
i
=
">····
'
and so forth for all desired fimctions.
There are two commonly used sets of functions for this model.
One is the polynomial series:
g
M
(x)
=
x
k
+
l
,
j = 0,..., m-1 ; k = 0,... 13-6
A few words about the polynomial series are in order. If
powers higher than three or so are used (not generally recommended),
the system of equations starts to become numerically unstable. Rather
than using individual polynomia ...