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authordos-reis <gdr@axiomatics.org>2010-06-18 13:45:47 +0000
committerdos-reis <gdr@axiomatics.org>2010-06-18 13:45:47 +0000
commit6896410ee29bde89bf25c5f126a76a755a810e94 (patch)
treefca597d080e0eaa3ed4775eaaf90033dce3692f5 /src/algebra/gseries.spad.pamphlet
parentbd813c8607938e8ff0d8f112987300e22e3dc712 (diff)
downloadopen-axiom-6896410ee29bde89bf25c5f126a76a755a810e94.tar.gz
* algebra/fparfrac.spad.pamphlet (FullPartialFractionExpansion):
Now satisfies DifferentialSpace. * algebra/gseries.spad.pamphlet (GeneralUnivariatePowerSeries): Now satisfies an instance of PartialDifferentialDomain. * algebra/laurent.spad.pamphlet (UnivariateLaurentSeries): Likewise. * algebra/puiseux.spad.pamphlet (UnivariatePuiseuxSeries): Likewise. * algebra/suls.spad.pamphlet (SparseUnivariateLaurentSeries): Likewise. * algebra/supxs.spad.pamphlet (SparseUnivariatePuiseuxSeries): Likewise. * algebra/suts.spad.pamphlet (SparseUnivariateTaylorSeries): Likewise. * algebra/taylor.spad.pamphlet (UnivariateTaylorSeries): Likewise.
Diffstat (limited to 'src/algebra/gseries.spad.pamphlet')
-rw-r--r--src/algebra/gseries.spad.pamphlet8
1 files changed, 3 insertions, 5 deletions
diff --git a/src/algebra/gseries.spad.pamphlet b/src/algebra/gseries.spad.pamphlet
index d6ea733c..b9085625 100644
--- a/src/algebra/gseries.spad.pamphlet
+++ b/src/algebra/gseries.spad.pamphlet
@@ -14,7 +14,7 @@
)abbrev domain GSERIES GeneralUnivariatePowerSeries
++ Author: Clifton J. Williamson
++ Date Created: 22 September 1993
-++ Date Last Updated: 23 September 1993
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains:
++ Also See:
@@ -40,15 +40,13 @@ GeneralUnivariatePowerSeries(Coef,var,cen): Exports == Implementation where
EFUPXS ==> ElementaryFunctionsUnivariatePuiseuxSeries
FS2UPS ==> FunctionSpaceToUnivariatePowerSeries
- Exports ==> UnivariatePuiseuxSeriesCategory Coef with
+ Exports ==> Join(UnivariatePuiseuxSeriesCategory Coef,_
+ PartialDifferentialDomain(%,Variable var)) with
coerce: Variable(var) -> %
++ coerce(var) converts the series variable \spad{var} into a
++ Puiseux series.
coerce: UPXS(Coef,var,cen) -> %
++ coerce(f) converts a Puiseux series to a general power series.
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} returns the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x))} returns an anti-derivative of the power