Help with Fold/outer one-liner (II)
- To: mathgroup at smc.vnet.net
- Subject: [mg28227] Help with Fold/outer one-liner (II)
- From: "Emilio Martin-Serrano Sobrino" <emilio.martin at sema.es>
- Date: Thu, 5 Apr 2001 03:00:42 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi:
Sorry for bothering you again.
Finally, I think I solved my "Fold/Outer/Function-application" problem; Find
it in the attached notebook . Anyway, now my question is: I am there is a
more elegant way to the solution; any clue?
Emilio Martin-Serrano
ReJacobian.nb
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Cell[BoxData[
\( (*\ These\ are\ the\ matrices\ to\ differentiate*) \)], "Input"],
Cell[BoxData[
\(a1 = {Sin[x[1]]\ Cos[x[2]], \ Sin[x[2]]\ Sin[x[3]]^2,
x[3]\ \ Tan[x[3]]}\)], "Input"],
Cell[BoxData[
\(a2 = {Cos[x[1]]\ Cos[x[2]], \ Cos[x[2]]\ Sin[x[3]]^2, \
Cos[x[3]\ ]\ Tan[x[3]]}\)], "Input"],
Cell[BoxData[
\(a3 = {Cos[x[2]]\ Cos[x[2]], \ Cos[x[2]]\ Sin[x[1]]^2, \
Cos[x[3]\ ]\ Tan[x[2]]}\)], "Input"],
Cell[BoxData[
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Cos[x[1]\ ]\ Tan[x[1]]}\)], "Input"],
Cell[BoxData[
\( (*\
This\ is\ a\ function\ definition\ to\ perform\ the\ task*) \)],
"Input"],
Cell[BoxData[
\(fCont[f_List] :=
With[{vars = Array[x, Take[Dimensions[First[f]]]]},
Fold[Outer[D, #, vars] &, First[f], Drop[f, 1]]]\)], "Input"],
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\( (*\ This\ is\ an\ expresion\ equivalent\ to\ the\ previous\ one,
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Cell[BoxData[
\(With[{vars = Array[x, Take[Dimensions[a1]]]},
Fold[Outer[D, #, vars] &, a1, {a2, a3, a4}]]\)], "Input"],
Cell[BoxData[
\( (*\ and\ finally, \ this\ is\ what\ I\ wanted\ *) \)], "Input"],
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a4}]\)], "Input"]
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