Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Kurt Pagani
> We need a mapping between manifolds, e.g. between the set of > independent variables of one DFORM into the independent variables of > another DFORM. > > My first thought is that maybe pullback and pushforward should be > exports of a package that is parameterized by a list of expressions.

Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Bill Page
On 8 October 2014 20:26, Kurt Pagani wrote: > > Some more bricks ... > attached is a first draft of the functions which IMO should be sufficient. Thanks! > Pull-back/push-forward have to be presumably in a higher-level domain as we > need a mapping F:X -->Y between two DFORM domains (??) > We n

Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Bill Page
There is some unpleasant code in DERHAM that presumes knowledge of the Rep of AntiSymm: terms : % -> List Record(k: EAB, c: R) terms(a) == -- it is the case that there are at least two terms in a a pretend List Record(k: EAB, c: R) I recall that this sort of thing was

Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Bill Page
On 8 October 2014 17:43, Ralf Hemmecke wrote: > On 10/08/2014 04:07 PM, Bill Page wrote: > >> Where do you think we should look for a possible "boundary operator"? > > I don't quite get your question. If I look at Earlier you wrote: On 8 October 2014 03:31, Ralf Hemmecke wrote: > ... > It doesn

Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Ralf Hemmecke
On 10/08/2014 04:07 PM, Bill Page wrote: > Ralf, > > I would be interested if you could elaborate on this idea. Yes, > MonoidRing looks like it should be relevant and I agree that in the > development of functionality in a new area like DifferentalGeometry > one should be aware of and integrate w

Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Bill Page
Ralf, I would be interested if you could elaborate on this idea. Yes, MonoidRing looks like it should be relevant and I agree that in the development of functionality in a new area like DifferentalGeometry one should be aware of and integrate where possible existing related domains, e.g. FriCAS a

Re: [fricas-devel] displaying matrices in types

2014-10-08 Thread Bill Page
On 8 October 2014 03:17, Ralf Hemmecke wrote: > On 10/08/2014 04:07 AM, Bill Page wrote: >> Something goes wrong with the display of a SquareMatrix with computed >> dependent size parameter that is passed as a parameter to a type. > >> DifferentialGeometry(CoefRing, listIndVar : List Symbol, g:SMR

Re: [fricas-devel] DeRhamComplex

2014-10-08 Thread Ralf Hemmecke
On 10/07/2014 09:49 PM, Kurt Pagani wrote: > I'm glad to hear. Maybe you could think about (or more if time allows ;) > how to implement simplices in the spirit of > http://en.wikipedia.org/wiki/Simplicial_homology such that one has for > instance formal sums of simplexes with integer coefficien

Re: [fricas-devel] displaying matrices in types

2014-10-08 Thread Ralf Hemmecke
On 10/08/2014 04:07 AM, Bill Page wrote: > Something goes wrong with the display of a SquareMatrix with computed > dependent size parameter that is passed as a parameter to a type. > DifferentialGeometry(CoefRing, listIndVar : List Symbol, g:SMR) : > Export == Implement where > CoefRing : Join(