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| author | dos-reis <gdr@axiomatics.org> | 2010-06-18 13:45:47 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2010-06-18 13:45:47 +0000 |
| commit | 6896410ee29bde89bf25c5f126a76a755a810e94 (patch) | |
| tree | fca597d080e0eaa3ed4775eaaf90033dce3692f5 /src/algebra/taylor.spad.pamphlet | |
| parent | bd813c8607938e8ff0d8f112987300e22e3dc712 (diff) | |
| download | open-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/taylor.spad.pamphlet')
| -rw-r--r-- | src/algebra/taylor.spad.pamphlet | 8 |
1 files changed, 3 insertions, 5 deletions
diff --git a/src/algebra/taylor.spad.pamphlet b/src/algebra/taylor.spad.pamphlet index e85c7a85..e3e01da9 100644 --- a/src/algebra/taylor.spad.pamphlet +++ b/src/algebra/taylor.spad.pamphlet @@ -141,7 +141,7 @@ InnerTaylorSeries(Coef): Exports == Implementation where )abbrev domain UTS UnivariateTaylorSeries ++ Author: Clifton J. Williamson ++ Date Created: 21 December 1989 -++ Date Last Updated: 21 September 1993 +++ Date Last Updated: June 18, 2010 ++ Basic Operations: ++ Related Domains: UnivariateLaurentSeries(Coef,var,cen), UnivariatePuiseuxSeries(Coef,var,cen) ++ Also See: @@ -170,7 +170,8 @@ UnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where STT ==> StreamTaylorSeriesOperations Coef TERM ==> Record(k:NNI,c:Coef) UP ==> UnivariatePolynomial(var,Coef) - Exports ==> UnivariateTaylorSeriesCategory(Coef) with + Exports ==> Join(UnivariateTaylorSeriesCategory(Coef),_ + PartialDifferentialDomain(%,Variable var)) with coerce: UP -> % ++\spad{coerce(p)} converts a univariate polynomial p in the variable ++\spad{var} to a univariate Taylor series in \spad{var}. @@ -180,9 +181,6 @@ UnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where coerce: Variable(var) -> % ++\spad{coerce(var)} converts the series variable \spad{var} into a ++ Taylor series. - differentiate: (%,Variable(var)) -> % - ++ \spad{differentiate(f(x),x)} computes the derivative of - ++ \spad{f(x)} with respect to \spad{x}. lagrange: % -> % ++\spad{lagrange(g(x))} produces the Taylor series for \spad{f(x)} ++ where \spad{f(x)} is implicitly defined as \spad{f(x) = x*g(f(x))}. |