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authordos-reis <gdr@axiomatics.org>2008-11-21 04:54:55 +0000
committerdos-reis <gdr@axiomatics.org>2008-11-21 04:54:55 +0000
commit49727ef97a25730307fdb9622be726e92a41a875 (patch)
tree5c6fbb86ff4e49c7ed0d510e76f42d7352005c88 /src/algebra/puiseux.spad.pamphlet
parent0b97ae7365e5ba3d3e078147124e096f7cccde4b (diff)
downloadopen-axiom-49727ef97a25730307fdb9622be726e92a41a875.tar.gz
* algebra/alql.spad.pamphlet (Database): Now CoercibleFrom List S.
* algebra/asp.spad.pamphlet (Asp20): Now CoercibleFrom MAT FEXPR. (Asp6): Now CoercibleFrom Vector FEXPR. * algebra/catdef.spad.pamphlet (Algebra): Extend CoercibleFrom R. (Ring): Extend CoercibleFrom Integer. * algebra/formula.spad.pamphlet (ScriptFormulaFormat): Now CoercibleFrom E. * algebra/fortran.spad.pamphlet (FortranCode): Remove redundant signature. * algebra/fs2ups.spad.pamphlet (FunctionSpaceToUnivariatePowerSeries): Tidy parameter. * algebra/laurent.spad.pamphlet (UnivariateLaurentSeriesConstructorCategory): Extend CoercibleFrom UTS. * algebra/manip.spad.pamphlet (PolynomialRoots): Tidy parameter. * algebra/modmon.spad.pamphlet (ModMonic): Now CoercibleFrom Rep. * algebra/ore.spad.pamphlet (UnivariateSkewPolynomial): Now CoercibleFrom Variable x.
Diffstat (limited to 'src/algebra/puiseux.spad.pamphlet')
-rw-r--r--src/algebra/puiseux.spad.pamphlet10
1 files changed, 2 insertions, 8 deletions
diff --git a/src/algebra/puiseux.spad.pamphlet b/src/algebra/puiseux.spad.pamphlet
index 8b4bb665..e0c2dc5d 100644
--- a/src/algebra/puiseux.spad.pamphlet
+++ b/src/algebra/puiseux.spad.pamphlet
@@ -36,7 +36,7 @@ UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS):_
RN ==> Fraction Integer
Definition ==> Join(UnivariatePuiseuxSeriesCategory(Coef),_
- RetractableTo ULS) with
+ RetractableTo ULS,CoercibleFrom ULS) with
puiseux: (RN,ULS) -> %
++ \spad{puiseux(r,f(x))} returns \spad{f(x^r)}.
rationalPower: % -> RN
@@ -48,9 +48,6 @@ UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS):_
degree: % -> RN
++ \spad{degree(f(x))} returns the degree of the leading term of the
++ Puiseux series \spad{f(x)}, which may have zero as a coefficient.
- coerce: ULS -> %
- ++ \spad{coerce(f(x))} converts the Laurent series \spad{f(x)} to a
- ++ Puiseux series.
laurent: % -> ULS
++ \spad{laurent(f(x))} converts the Puiseux series \spad{f(x)} to a
++ Laurent series if possible. Error: if this is not possible.
@@ -448,10 +445,7 @@ UnivariatePuiseuxSeries(Coef,var,cen): Exports == Implementation where
ULS ==> UnivariateLaurentSeries(Coef,var,cen)
Exports ==> Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),_
- RetractableTo UTS) with
- coerce: Variable(var) -> %
- ++ coerce(var) converts the series variable \spad{var} into a
- ++ Puiseux series.
+ RetractableTo UTS,CoercibleFrom Variable var) with
differentiate: (%,Variable(var)) -> %
++ \spad{differentiate(f(x),x)} returns the derivative of
++ \spad{f(x)} with respect to \spad{x}.