diff options
Diffstat (limited to 'src/algebra/catdef.spad.pamphlet')
| -rw-r--r-- | src/algebra/catdef.spad.pamphlet | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet index aa972025..4b0eb27e 100644 --- a/src/algebra/catdef.spad.pamphlet +++ b/src/algebra/catdef.spad.pamphlet @@ -1096,12 +1096,12 @@ LeftModule(R:Rng):Category == Join(AbelianGroup, LeftLinearSet R) ++ Description: ++ An extension of left-module with an explicit linear dependence test. LinearlyExplicitRingOver(R:Ring): Category == LeftModule R with - reducedSystem: Vector % -> Matrix R - ++ \spad{reducedSystem [v1,...,vn]} returns a matrix \spad{M} + leftReducedSystem: Vector % -> Matrix R + ++ \spad{leftReducedSystem [v1,...,vn]} returns a matrix \spad{M} ++ with coefficients in \spad{R} such that the system of equations ++ \spad{c1*v1 + ... + cn*vn = 0$%} has the same solution as ++ \spad{c * M = 0} where \spad{c} is the row vector \spad{[c1,...cn]}. - reducedSystem: (Vector %,%) -> Record(mat: Matrix R,vec: Vector R) + leftReducedSystem: (Vector %,%) -> Record(mat: Matrix R,vec: Vector R) ++ \spad{reducedSystem([v1,...,vn],u)} returns a matrix \spad{M} ++ with coefficients in \spad{R} and a vector \spad{w} such ++ that the system of equations \spad{c1*v1 + ... + cn*vn = u} |