weier.spad line 1 [edit on github]
This package implements the Weierstrass preparation theorem f
for multivariate power series. weierstrass(v
, p
) where v
is a variable, and p
is a TaylorSeries(R
) in which there is term of form c*v^s where c
is a constant. Let s
be minimal as above. The result is a list of TaylorSeries coefficients A[i
] of the equivalent polynomial A = A[0] + A[1]*v
+ A[2]*v^2
+ ... + A[s
-1]*v^
(s
-1) + v^s
such that p=A*B , B
being a TaylorSeries of minimum degree 0
weierstrass(v, ts)
where v
is a variable and ts
is a TaylorSeries, implements the Weierstrass Preparation Theorem. The result is a list of TaylorSeries that are the coefficients of the equivalent series.