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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/xpoly.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/xpoly.spad.pamphlet')
-rw-r--r--src/algebra/xpoly.spad.pamphlet9
1 files changed, 2 insertions, 7 deletions
diff --git a/src/algebra/xpoly.spad.pamphlet b/src/algebra/xpoly.spad.pamphlet
index 4049f1b6..c80e3e53 100644
--- a/src/algebra/xpoly.spad.pamphlet
+++ b/src/algebra/xpoly.spad.pamphlet
@@ -379,10 +379,7 @@ import Algebra
++ Author: Michel Petitot (petitot@lifl.fr)
XAlgebra(R: Ring): Category ==
- Join(Ring, BiModule(R,R)) with
- --operations
- coerce: R -> %
- ++ \spad{coerce(r)} equals \spad{r*1}.
+ Join(Ring, BiModule(R,R),CoercibleFrom R) with
-- attributs
if R has CommutativeRing then Algebra(R)
-- if R has CommutativeRing then Module(R)
@@ -548,14 +545,12 @@ XPolynomialRing(R:Ring,E:OrderedMonoid): T == C where
EX ==> OutputForm
NNI ==> NonNegativeInteger
- T == Join(Ring, XAlgebra(R), FreeModuleCat(R,E)) with
+ T == Join(Ring, XAlgebra(R), FreeModuleCat(R,E),CoercibleFrom E) with
--operations
"*": (%,R) -> %
++ \spad{p*r} returns the product of \spad{p} by \spad{r}.
"#": % -> NonNegativeInteger
++ \spad{# p} returns the number of terms in \spad{p}.
- coerce: E -> %
- ++ \spad{coerce(e)} returns \spad{1*e}
maxdeg: % -> E
++ \spad{maxdeg(p)} returns the greatest word occurring in the polynomial \spad{p}
++ with a non-zero coefficient. An error is produced if \spad{p} is zero.