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Diffstat (limited to 'src/algebra/catdef.spad.pamphlet')
| -rw-r--r-- | src/algebra/catdef.spad.pamphlet | 11 |
1 files changed, 8 insertions, 3 deletions
diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet index 4c6317f3..0a1a435b 100644 --- a/src/algebra/catdef.spad.pamphlet +++ b/src/algebra/catdef.spad.pamphlet @@ -1013,7 +1013,7 @@ LeftModule(R:Rng):Category == Join(AbelianGroup, LeftLinearSet R) )abbrev category LINEXP LinearlyExplicitRingOver ++ Author: ++ Date Created: -++ Date Last Updated: +++ Date Last Updated: June 14, 2010 ++ Basic Functions: ++ Related Constructors: ++ Also See: @@ -1021,8 +1021,13 @@ LeftModule(R:Rng):Category == Join(AbelianGroup, LeftLinearSet R) ++ Keywords: ++ References: ++ Description: -++ An extension ring with an explicit linear dependence test. -LinearlyExplicitRingOver(R:Ring): Category == Ring with +++ 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} + ++ 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: Matrix % -> Matrix R ++ reducedSystem(A) returns a matrix B such that \spad{A x = 0} and \spad{B x = 0} ++ have the same solutions in R. |