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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,606 of 10,432    |
|    Piet van Oostrum to asetofsymbols@gmail.com    |
|    Re: [Axiom] matrix element access    |
|    13 Aug 17 19:14:55    |
      From: piet-l@vanoostrum.org              asetofsymbols@gmail.com writes:              > I say       > If a:List List Type       > If i see it as one matrix of generic element of type Type       > know value from       >       > a.i.j i in 1..#a j in 1..#a.i       >       > or something as that       > Why not consider matrix, all list of list and definite in that type "List       List Type" all matrix operations?       >       > I know 99% i speak in what i don't know so possible i see it wrong...       >       > List List List type       >       > whould be matrix nxmxk...              Well, you can see it like that, but Axiom sees it differently. It works       with Domains, and operations are defined in those domains. The List       domain does not have a multiplication operation. The Matrix domain has       it, but that is only possible if the elements have an addition and       multiplication operation, i.e. they must come from a Ring.              That is also how a matrix is defined in mathematics.              In your example you had elements that were Lists themselves. These       cannot be multiplied or added. So it makes no sense to put these in a       matrix.              If you only want to have a two dimensional structure you can use       TwoDimensionalArray. However, it does not have a nice constructor like       matrix. So you have to construct it yourself.              arr2 : TwoDimensionalArray(List(Integer)) := new(4, 4, [])       for i in 1..4 repeat for j in 1..4 repeat arr2(i,j) := [i, j]       Then arr2(2,3) will give you [2, 3]              --       Piet van Oostrum |
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