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D.15.14.5 puiseux
Procedure from library puiseuxexpansions.lib (see puiseuxexpansions_lib).
- Usage:
- puiseux(f, maxDeg, atOrigin); f polynomial in two variables, int maxDeg, int atOrigin
- Return:
- the Puiseux expansions of f developed up to degree maxDeg. If atOrigin = 1, only the expansions passing through the origin will be returned.
Example:
| | LIB "puiseuxexpansions.lib";
ring R=0,(x,y),dp;
poly f=y^3 + x^2 + x^8;
puiseux(f,3,0);
==> [1]:
==> [1]:
==> -1/3x20-x2
==> [2]:
==> 3
==> [6]:
==> [1]:
==> 1
==> [2]:
==> 1
==> [7]:
==> [1]:
==> 2
==> [2]:
==> // coefficients: QQ[@a]/(...)
==> // number of vars : 2
==> // block 1 : ordering dp
==> // : names x y
==> // block 2 : ordering C
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