diff options
Diffstat (limited to 'src/algebra/catdef.spad.pamphlet')
| -rw-r--r-- | src/algebra/catdef.spad.pamphlet | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet index f48017ac..f3963ea3 100644 --- a/src/algebra/catdef.spad.pamphlet +++ b/src/algebra/catdef.spad.pamphlet @@ -132,9 +132,9 @@ AbelianGroup(): Category == Join(CancellationAbelianMonoid, LeftLinearSet Intege -- define SourceLevelSubset to be EQUAL AbelianMonoid(): Category == AbelianSemiGroup with --operations - 0: constant -> % + 0: % ++ 0 is the additive identity element. - sample: constant -> % + sample: % ++ sample yields a value of type % zero?: % -> Boolean ++ zero?(x) tests if x is equal to 0. @@ -1059,8 +1059,8 @@ Module(R:CommutativeRing): Category == Join(BiModule(R,R), LinearSet R) ++ unitsKnown\tab{15}\spadfun{recip} only returns "failed" on non-units Monoid(): Category == SemiGroup with --operations - 1: constant -> % ++ 1 is the multiplicative identity. - sample: constant -> % ++ sample yields a value of type % + 1: % ++ 1 is the multiplicative identity. + sample: % ++ sample yields a value of type % one?: % -> Boolean ++ one?(x) tests if x is equal to 1. **: (%,NonNegativeInteger) -> % ++ x**n returns the repeated product ++ of x n times, i.e. exponentiation. @@ -1719,7 +1719,7 @@ SetCategory(): Category == Join(BasicType,CoercibleTo OutputForm) with ++ infinite\tab{15}repeated \spad{nextItem}'s are never "failed". StepThrough(): Category == SetCategory with --operations - init: constant -> % + init: % ++ init() chooses an initial object for stepping. nextItem: % -> Union(%,"failed") ++ nextItem(x) returns the next item, or "failed" if domain is exhausted. |