/usr/share/axiom-20170501/src/algebra/FLINEXP.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 | )abbrev category FLINEXP FullyLinearlyExplicitRingOver
++ Description:
++ S is \spadtype{FullyLinearlyExplicitRingOver R} means that S is a
++ \spadtype{LinearlyExplicitRingOver R} and, in addition, if R is a
++ \spadtype{LinearlyExplicitRingOver Integer}, then so is S
FullyLinearlyExplicitRingOver(R) : Category == SIG where
R : Ring
SIG ==> LinearlyExplicitRingOver R with
if (R has LinearlyExplicitRingOver Integer) then
LinearlyExplicitRingOver Integer
add
if not(R is Integer) then
if (R has LinearlyExplicitRingOver Integer) then
reducedSystem(m:Matrix %):Matrix(Integer) ==
reducedSystem(reducedSystem(m)@Matrix(R))
reducedSystem(m:Matrix %, v:Vector %):
Record(mat:Matrix(Integer), vec:Vector(Integer)) ==
rec := reducedSystem(m, v)@Record(mat:Matrix R, vec:Vector R)
reducedSystem(rec.mat, rec.vec)
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