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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 354560, 14269]*) (*NotebookOutlinePosition[ 373652, 14969]*) (* CellTagsIndexPosition[ 373608, 14965]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["APPENDIX 5", "Title"], Cell["Crane", "Subtitle"], Cell[CellGroupData[{ Cell["Imported Packages", "Section"], Cell[BoxData[ \(<< Miscellaneous`PhysicalConstants`\)], "Input", CellLabel->"In[1]:="], Cell[BoxData[ \(Needs["\"]\)], "Input", CellLabel->"In[2]:="] }, Open ]], Cell[CellGroupData[{ Cell["Naming Conventions", "Section"], Cell[TextData[{ "In order to simplify the code following naming conventions were adopted: \n\ \t- coordinates of vectors have the form x[i] or ", StyleBox[Cell[BoxData[ \(TraditionalForm\`x\_i\)]]], " on the input. 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We will transform integration constants C[i] \ to Cxx[i] to make them unique in case more than one DSolve result will be \ combined into one expression. Unfortunatelly, we encountered problems with \ the option DSolveConstant, thats why the operation must be made by the \ hand.\ \>", "Text"], Cell["\<\ We assume that only the x[] vector should be transformed. Maybe we will add \ options in the future.\ \>", "SmallText"], Cell[BoxData[ \(\(DSolvePreprocess[chain_] := Module[{i}, \ \t\n\t\t chain\ /. \ Table[x[i]\ -> \ Symbol["\"<>ToString[i]], {i, MaxOrder}]]\t \)\)], "Input", CellLabel->"In[4]:="], Cell[BoxData[ \(DSolvePostprocess[chain_] := Module[{i}, \n\t\t \((chain\ /. \ Table[Symbol["\"<>ToString[i]]\ -> \ x[i], {i, MaxOrder}])\)\n\t\t /. 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