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MathGroup Archive 2005

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Re: Superscript Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58685] Re: [mg58670] Superscript Problem
  • From: Pratik Desai <pdesai1 at umbc.edu>
  • Date: Thu, 14 Jul 2005 02:49:12 -0400 (EDT)
  • References: <200507130729.DAA13782@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Stan Gianzero wrote:

>Jean-Marc Gulliet,
>I appreciate your spending the time on my problem. I have two points to 
>make. First, I have just begun using Mathematica, so I would have 
>difficulty applying your algorithm. Second, it would be best to 
>describe my problem in its proper context. I am attaching a Mathematica 
>file that describes the problem and what I have done to circumvent the 
>problem. In short, I placed the superscripts along with the other 
>subscripts that I used in the problem. I simply want to use the 
>superscripts as  LABELS and do NOT want them  to be interpreted as an 
>exponents. If after reading my attachment you feel you can help, I 
>would greatly appreciate it. Please, however, do not spend too much of 
>your time tending to the problem.
>Stan
>
>
>(************** Content-type: application/mathematica **************
>                     CreatedBy='Mathematica 5.1'
>
>                    Mathematica-Compatible Notebook
>
>This notebook can be used with any Mathematica-compatible
>application, such as Mathematica, MathReader or Publicon. The data
>for the notebook starts with the line containing stars above.
>
>To get the notebook into a Mathematica-compatible application, do
>one of the following:
>
>* Save the data starting with the line of stars above into a file
>  with a name ending in .nb, then open the file inside the
>  application;
>
>* Copy the data starting with the line of stars above to the
>  clipboard, then use the Paste menu command inside the application.
>
>Data for notebooks contains only printable 7-bit ASCII and can be
>sent directly in email or through ftp in text mode.  Newlines can be
>CR, LF or CRLF (Unix, Macintosh or MS-DOS style).
>
>NOTE: If you modify the data for this notebook not in a Mathematica-
>compatible application, you must delete the line below containing
>the word CacheID, otherwise Mathematica-compatible applications may
>try to use invalid cache data.
>
>For more information on notebooks and Mathematica-compatible 
>applications, contact Wolfram Research:
>  web: http://www.wolfram.com
>  email: info at 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[      4669,        122]*)
>(*NotebookOutlinePosition[      5305,        144]*)
>(*  CellTagsIndexPosition[      5261,        140]*)
>(*WindowFrame->Normal*)
>
>
>
>Notebook[{
>Cell[BoxData[
>    \(\("\<Basic Algorithm relating Local and Global Matrices\>";\)\)], \
>"Input"],
>
>Cell[BoxData[
>    \(For[i = 1, i < 8, \(i++\), 
>      For[j = 1, 
>        j < 8, \(j++\), \ \ B[i, 
>            j] = \[Sum]\+\(n = 1\)\%3\(\[Sum]\+\(k = 0\)\%1\(\[Sum]\+\(l = \
>0\)\%1\(\[Sum]\+\(p = 0\)\%1\(\[Sum]\+\(q = 0\)\%1\((KroneckerDelta[i, 
>                          2 \((n + l)\) - \((k + 1)\)]*
>                        KroneckerDelta[j, 2 \((n + q)\) - \((p + 1)\)]*
>                        b\_\(n - 1, 2 \((n + l)\) - \((k + 1)\), 2 \((n + \
>q)\) - \((p + 1)\)\))\)\)\)\)\)]]\)], "Input"],
>
>Cell[BoxData[""], "Input"],
>
>Cell[CellGroupData[{
>
>Cell[BoxData[
>    \(MatrixForm[Array[B, {7, 7}]]\)], "Input"],
>
>Cell[BoxData[
>    TagBox[
>      RowBox[{"(", "\[NoBreak]", GridBox[{
>            {\(b\_\(0, 1, 1\)\), \(b\_\(0, 1, 2\)\), \(b\_\(0, 1, 3\)\), "0", 
>              "0", "0", "0"},
>            {\(b\_\(0, 2, 1\)\), \(b\_\(0, 2, 2\) + 
>                b\_\(1, 2, 2\)\), \(b\_\(0, 2, 3\) + 
>                b\_\(1, 2, 3\)\), \(b\_\(1, 2, 4\)\), \(b\_\(1, 2, 5\)\), "0",
>               "0"},
>            {\(b\_\(0, 3, 1\)\), \(b\_\(0, 3, 2\) + 
>                b\_\(1, 3, 2\)\), \(b\_\(0, 3, 3\) + 
>                b\_\(1, 3, 3\)\), \(b\_\(1, 3, 4\)\), \(b\_\(1, 3, 5\)\), "0",
>               "0"},
>            {
>              "0", \(b\_\(1, 4, 2\)\), \(b\_\(1, 4, 3\)\), \(b\_\(1, 4, 4\) + 
>                b\_\(2, 4, 4\)\), \(b\_\(1, 4, 5\) + 
>                b\_\(2, 4, 5\)\), \(b\_\(2, 4, 6\)\), \(b\_\(2, 4, 7\)\)},
>            {
>              "0", \(b\_\(1, 5, 2\)\), \(b\_\(1, 5, 3\)\), \(b\_\(1, 5, 4\) + 
>                b\_\(2, 5, 4\)\), \(b\_\(1, 5, 5\) + 
>                b\_\(2, 5, 5\)\), \(b\_\(2, 5, 6\)\), \(b\_\(2, 5, 7\)\)},
>            {"0", "0", 
>              "0", \(b\_\(2, 6, 4\)\), \(b\_\(2, 6, 5\)\), \(b\_\(2, 6, 
>                  6\)\), \(b\_\(2, 6, 7\)\)},
>            {"0", "0", 
>              "0", \(b\_\(2, 7, 4\)\), \(b\_\(2, 7, 5\)\), \(b\_\(2, 7, 
>                  6\)\), \(b\_\(2, 7, 7\)\)}
>            },
>          RowSpacings->1,
>          ColumnSpacings->1,
>          ColumnAlignments->{Left}], "\[NoBreak]", ")"}],
>      Function[ BoxForm`e$, 
>        MatrixForm[ BoxForm`e$]]]], "Output"]
>}, Open  ]],
>
>Cell[BoxData[
>    \(\("\<The first subscript on the b's (local) I would like to have as  a \
>superscript, but Mathematica treats all superscripts as exponents thereby \
>producing unity whenever the superscript is zero. The problem was \
>circumvented by adopting triple subscripts with the first subscript playing \
>the role of the superscript\>";\)\)], "Input"],
>
>Cell[BoxData[
>    \(\(\(\*"\"\<As an example, the first element in the matrix, \!\(b\_\(\(0\
>\)\(,\)\(1\)\(,\)\(1\)\(,\)\(\\\ \)\)\)I would like to be \!\(b\_\(\(1\)\(,\)\
>\(1\)\(\\\ \)\)\%0\) because it has a special physical \
>significance.\>\"";\)\(\[IndentingNewLine]\)
>    \)\)], "Input"]
>},
>FrontEndVersion->"5.1 for Macintosh",
>ScreenRectangle->{{4, 1280}, {0, 1002}},
>WindowSize->{945, 767},
>WindowMargins->{{4, Automatic}, {Automatic, 4}}
>]
>
>(*******************************************************************
>Cached data follows.  If you edit this Notebook file directly, not
>using Mathematica, you must remove the line containing CacheID at
>the top of  the file.  The cache data will then be recreated when
>you save this file from within Mathematica.
>*******************************************************************)
>
>(*CellTagsOutline
>CellTagsIndex->{}
>*)
>
>(*CellTagsIndex
>CellTagsIndex->{}
>*)
>
>(*NotebookFileOutline
>Notebook[{
>Cell[1754, 51, 96, 2, 39, "Input"],
>Cell[1853, 55, 499, 9, 193, "Input"],
>Cell[2355, 66, 26, 0, 39, "Input"],
>
>Cell[CellGroupData[{
>Cell[2406, 70, 61, 1, 39, "Input"],
>Cell[2470, 73, 1523, 32, 207, "Output"]
>}, Open  ]],
>Cell[4008, 108, 361, 5, 154, "Input"],
>Cell[4372, 115, 293, 5, 92, "Input"]
>}
>]
>*)
>
>
>
>(*******************************************************************
>End of Mathematica Notebook file.
>*******************************************************************)
>
>  
>
Why not try this,
(************** Content-type: application/mathematica **************
                     CreatedBy='Mathematica 5.1'

                    Mathematica-Compatible Notebook

This notebook can be used with any Mathematica-compatible
application, such as Mathematica, MathReader or Publicon. The data
for the notebook starts with the line containing stars above.

To get the notebook into a Mathematica-compatible application, do
one of the following:

* Save the data starting with the line of stars above into a file
  with a name ending in .nb, then open the file inside the
  application;

* Copy the data starting with the line of stars above to the
  clipboard, then use the Paste menu command inside the application.

Data for notebooks contains only printable 7-bit ASCII and can be
sent directly in email or through ftp in text mode.  Newlines can be
CR, LF or CRLF (Unix, Macintosh or MS-DOS style).

NOTE: If you modify the data for this notebook not in a Mathematica-
compatible application, you must delete the line below containing
the word CacheID, otherwise Mathematica-compatible applications may
try to use invalid cache data.

For more information on notebooks and Mathematica-compatible
applications, contact Wolfram Research:
  web: http://www.wolfram.com
  email: info at 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[      2430,         67]*)
(*NotebookOutlinePosition[      3075,         89]*)
(*  CellTagsIndexPosition[      3031,         85]*)
(*WindowFrame->Normal*)



Notebook[{
Cell[BoxData[{
    \(For[i = 1, i < 8, \(i++\),
      For[j = 1,
        j < 8, \(j++\), \ \ B[i,
            j] = \[Sum]\+\(n = 1\)\%3\(\[Sum]\+\(k = 0\)\%1\(\[Sum]\+\
\(l = 0\)\%1\(\[Sum]\+\(p = 0\)\%1\(\[Sum]\+\(q = \
0\)\%1\((KroneckerDelta[i, 2 \((n + l)\) - \((k + 1)\)]*
                        KroneckerDelta[j,
                          2 \((n + q)\) - \((p + 1)\)]*
                        Subscript[Superscript[b, n - 1],
                          2*\((n + 1)\) - \((k + 1)\),
                          2*\((n + q)\) - \((p +
                                l)\)])\)\)\)\)\)]]\), "\
\[IndentingNewLine]",
    \(MatrixForm[Array[B, {7, 7}]]\)}], "Input"]
},
FrontEndVersion->"5.1 for Microsoft Windows",
ScreenRectangle->{{0, 1024}, {0, 695}},
WindowSize->{945, 752},
WindowMargins->{{Automatic, 2}, {Automatic, -23}}
]

(*******************************************************************
Cached data follows.  If you edit this Notebook file directly, not
using Mathematica, you must remove the line containing CacheID at
the top of  the file.  The cache data will then be recreated when
you save this file from within Mathematica.
*******************************************************************)

(*CellTagsOutline
CellTagsIndex->{}
*)

(*CellTagsIndex
CellTagsIndex->{}
*)

(*NotebookFileOutline
Notebook[{
Cell[1754, 51, 672, 14, 161, "Input"]
}
]
*)



(*******************************************************************
End of Mathematica Notebook file.
*******************************************************************)
Best regards


Pratik

-- 
Pratik Desai
Graduate Student
UMBC
Department of Mechanical Engineering
Phone: 410 455 8134



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