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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | )abbrev package ULS2 UnivariateLaurentSeriesFunctions2
++ Author: Clifton J. Williamson
++ Date Created: 5 March 1990
++ Date Last Updated: 5 March 1990
++ Description:
++ Mapping package for univariate Laurent series
++ This package allows one to apply a function to the coefficients of
++ a univariate Laurent series.
UnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2):
SIG == CODE where
Coef1 : Ring
Coef2 : Ring
var1: Symbol
var2: Symbol
cen1: Coef1
cen2: Coef2
ULS1 ==> UnivariateLaurentSeries(Coef1, var1, cen1)
ULS2 ==> UnivariateLaurentSeries(Coef2, var2, cen2)
UTS1 ==> UnivariateTaylorSeries(Coef1, var1, cen1)
UTS2 ==> UnivariateTaylorSeries(Coef2, var2, cen2)
UTSF2 ==> UnivariateTaylorSeriesFunctions2(Coef1, Coef2, UTS1, UTS2)
SIG ==> with
map : (Coef1 -> Coef2,ULS1) -> ULS2
++ \spad{map(f,g(x))} applies the map f to the coefficients of
++ the Laurent series \spad{g(x)}.
CODE ==> add
map(f,ups) == laurent(degree ups, map(f, taylorRep ups)$UTSF2)
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