diff options
| author | dos-reis <gdr@axiomatics.org> | 2009-05-29 19:09:54 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2009-05-29 19:09:54 +0000 |
| commit | c39287d87b632b3582b0e179b08d44dc6c27510f (patch) | |
| tree | 88c661ea1bd325ad74b4f3f472c052687e8ca1d4 /src/algebra/fraction.spad.pamphlet | |
| parent | a17c2d47d4df5af5ef5e624ac6c5636b2741dd4a (diff) | |
| download | open-axiom-c39287d87b632b3582b0e179b08d44dc6c27510f.tar.gz | |
* algebra/algext.spad.pamphlet: Qualify `characteristic'.
* algebra/clifford.spad.pamphlet: Likewise.
* algebra/complet.spad.pamphlet: Likewise.
* algebra/contfrac.spad.pamphlet: Likewise.
* algebra/curve.spad.pamphlet: Likewise.
* algebra/ddfact.spad.pamphlet: Likewise.
* algebra/derham.spad.pamphlet: Likewise.
* algebra/equation2.spad.pamphlet: Likewise.
* algebra/ffcat.spad.pamphlet: Likewise.
* algebra/ffcg.spad.pamphlet: Likewise.
* algebra/fff.spad.pamphlet: Likewise.
* algebra/ffnb.spad.pamphlet: Likewise.
* algebra/ffp.spad.pamphlet: Likewise.
* algebra/ffpoly.spad.pamphlet: Likewise.
* algebra/ffx.spad.pamphlet: Likewise.
* algebra/fmod.spad.pamphlet: Likewise.
* algebra/fortmac.spad.pamphlet: Likewise.
* algebra/fr.spad.pamphlet: Likewise.
* algebra/fraction.spad.pamphlet: Likewise.
* algebra/fspace.spad.pamphlet: Likewise.
* algebra/gaussian.spad.pamphlet: Likewise.
* algebra/gpol.spad.pamphlet: Likewise.
* algebra/intclos.spad.pamphlet: Likewise.
* algebra/interval.spad.pamphlet: Likewise.
* algebra/laurent.spad.pamphlet: Likewise.
* algebra/matrix.spad.pamphlet: Likewise.
* algebra/modring.spad.pamphlet: Likewise.
* algebra/oct.spad.pamphlet: Likewise.
* algebra/opalg.spad.pamphlet: Likewise.
* algebra/padic.spad.pamphlet: Likewise.
* algebra/perman.spad.pamphlet: Likewise.
* algebra/pf.spad.pamphlet: Likewise.
* algebra/pfr.spad.pamphlet: Likewise.
* algebra/poly.spad.pamphlet: Likewise.
* algebra/polycat.spad.pamphlet: Likewise.
* algebra/puiseux.spad.pamphlet: Likewise.
* algebra/quat.spad.pamphlet: Likewise.
* algebra/radix.spad.pamphlet: Likewise.
* algebra/reclos.spad.pamphlet: Likewise.
* algebra/resring.spad.pamphlet: Likewise.
* algebra/sf.spad.pamphlet: Likewise.
* algebra/si.spad.pamphlet: Likewise.
* algebra/solvefor.spad.pamphlet: Likewise.
* algebra/sups.spad.pamphlet: Likewise.
* algebra/taylor.spad.pamphlet: Likewise.
* algebra/vector.spad.pamphlet: Likewise.
* algebra/xpoly.spad.pamphlet: Likewise.
Diffstat (limited to 'src/algebra/fraction.spad.pamphlet')
| -rw-r--r-- | src/algebra/fraction.spad.pamphlet | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/src/algebra/fraction.spad.pamphlet b/src/algebra/fraction.spad.pamphlet index 604771b7..8e0ff164 100644 --- a/src/algebra/fraction.spad.pamphlet +++ b/src/algebra/fraction.spad.pamphlet @@ -105,7 +105,7 @@ LocalAlgebra(A: Algebra R, == Localize(A, R, S) add 1 == 1$A / 1$S x:% * y:% == (numer(x) * numer(y)) / (denom(x) * denom(y)) - characteristic() == characteristic()$A + characteristic == characteristic$A @ \section{category QFCAT QuotientFieldCategory} @@ -180,7 +180,7 @@ QuotientFieldCategory(S: IntegralDomain): Category == map(fn, x) == (fn numer x) / (fn denom x) reducedSystem(m:Matrix %):Matrix S == clearDenominator m - characteristic() == characteristic()$S + characteristic == characteristic$S differentiate(x:%, deriv:S -> S) == n := numer x @@ -560,7 +560,7 @@ Fraction(S: IntegralDomain): QuotientFieldCategory S with -- to find x = p-th root of n/d -- observe that xd is p-th root of n*d**(p-1) ans:=charthRoot(x.num * - (x.den)**(characteristic()$%-1)::NonNegativeInteger) + (x.den)**(characteristic$%-1)::NonNegativeInteger) ans case "failed" => "failed" ans / x.den clear: List % -> List S |