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Diffstat (limited to 'src/algebra/aggcat.spad.pamphlet')
| -rw-r--r-- | src/algebra/aggcat.spad.pamphlet | 16 |
1 files changed, 6 insertions, 10 deletions
diff --git a/src/algebra/aggcat.spad.pamphlet b/src/algebra/aggcat.spad.pamphlet index 3ff73675..df09311f 100644 --- a/src/algebra/aggcat.spad.pamphlet +++ b/src/algebra/aggcat.spad.pamphlet @@ -68,28 +68,26 @@ import CoercibleTo OutputForm import Evalable )abbrev category HOAGG HomogeneousAggregate ++ Author: Michael Monagan; revised by Manuel Bronstein and Richard Jenks +++ Further revision by Gabriel Dos Reis. ++ Date Created: August 87 through August 88 -++ Date Last Updated: April 1991, May 1995 +++ Date Last Updated: May 17, 2013. ++ Basic Operations: -++ Related Constructors: +++ Related Constructors: Aggregate, Functorial ++ Also See: ++ AMS Classifications: ++ Keywords: ++ References: ++ Description: -++ A homogeneous aggregate is an aggregate of elements all of the -++ same type. +++ A homogeneous aggregate is an aggregate of elements all of the +++ same type, and is functorial in stored elements.. ++ In the current system, all aggregates are homogeneous. ++ Two attributes characterize classes of aggregates. -HomogeneousAggregate(S:Type): Category == Aggregate with +HomogeneousAggregate(S:Type): Category == Join(Aggregate,Functorial S) with if S has CoercibleTo(OutputForm) then CoercibleTo(OutputForm) if S has BasicType then BasicType if S has SetCategory then SetCategory if S has SetCategory then if S has Evalable S then Evalable S - map : (S->S,%) -> % - ++ map(f,u) returns a copy of u with each element x replaced by f(x). - ++ For collections, \axiom{map(f,u) = [f(x) for x in u]}. add if S has Evalable S then eval(u:%,l:List Equation S):% == map(eval(#1,l),u) @@ -195,8 +193,6 @@ ShallowlyMutableAggregate(S: Type): Category == Exports where @ - - \section{category CLAGG Collection} <<category CLAGG Collection>>= |