DMUG-Archiv 2002

Frühere

 

Chronologischer Index

 

Spätere

Vorherige

 

Thematischer Index

 

Nächste

[Fwd: Frage wg Mathematica]

 
--- Begin Message ---
Lieber Herr Spitzer,

ich habe in Mathematica einen Fehler entdeckt, dessen Herkunft ich mir
nicht erklären kann. Dabei geht es um die Summation einer Reihe, deren
Koeffizienten mal mit Fakultäten, mal mit Binomialkoeffizienten
geschrieben werden. Die Summe mit den Binomialkoeffizienten summiert
Mathematica zur doppelten Summe. (Ich hänge eine Datei zur Information an.)

Wissen Sie zufällig, wen man bei Wolfram mit so etwas behelligen kann?

Mit freundlichen Grüßen
Jacques Mayer
(************** Content-type: application/mathematica **************

                    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@XXXXXXX.com
  phone: +1-217-398-0700 (U.S.)

Notebook reader applications are available free of charge from 
Wolfram Research.
*******************************************************************)

(*CacheID: 232*)


(*NotebookFileLineBreakTest
NotebookFileLineBreakTest*)
(*NotebookOptionsPosition[      3313,        114]*)
(*NotebookOutlinePosition[      4145,        140]*)
(*  CellTagsIndexPosition[      4101,        136]*)
(*WindowFrame->Normal*)



Notebook[{

Cell[CellGroupData[{
Cell[BoxData[
    \(\[Sum]\+\(k = 0\)\%\[Infinity]\((\(-1\))\)\^k\ \(\((2\ \
k)\)!\)\/\(\(k!\)\ \(\((k + 1)\)!\)\)\ z\^\(k + 1\)\)], "Input"],

Cell[BoxData[
    \(1\/2\ \((\(-1\) + \@\(1 + 4\ z\))\)\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\[Sum]\+\(k = 0\)\%\[Infinity]\ 
      Binomial[\(-\((k + 1)\)\), k]\/\(k + 1\)\ z\^\(k + 1\)\)], "Input"],

Cell[BoxData[
    \(\(-1\) + \@\(1 + 4\ z\)\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Table[Binomial[\(-\((k + 1)\)\), k]\/\(k + 1\), {k, 0, 10}]\)], "Input"],

Cell[BoxData[
    \({1, \(-1\), 2, \(-5\), 14, \(-42\), 132, \(-429\), 1430, \(-4862\), 
      16796}\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Table[\((\(-1\))\)\^k\ \(\((2\ k)\)!\)\/\(\(k!\)\ \(\((k + 1)\)!\)\), \
{k, 0, 10}]\)], "Input"],

Cell[BoxData[
    \({1, \(-1\), 2, \(-5\), 14, \(-42\), 132, \(-429\), 1430, \(-4862\), 
      16796}\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\[Sum]\+\(k = 0\)\%\[Infinity]\((\((\(-1\))\)\^k\ \(\((2\ \
k)\)!\)\/\(\(k!\)\ \(\((k + 1)\)!\)\) - 
            Binomial[\(-\((k + 1)\)\), k]\/\(k + 1\))\)\ z\^\(k + 1\)\)], \
"Input"],

Cell[BoxData[
    \(1\/2\ \((1 - \@\(1 + 4\ z\))\)\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Table[\((\(-1\))\)\^k\ \(\((2\ k)\)!\)\/\(\(k!\)\ \(\((k + 1)\)!\)\) - 
        Binomial[\(-\((k + 1)\)\), k]\/\(k + 1\), {k, 1, 20}]\)], "Input"],

Cell[BoxData[
    \({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0}\)], "Output"]
}, Open  ]]
},
FrontEndVersion->"4.1 for Macintosh",
ScreenRectangle->{{0, 832}, {0, 604}},
WindowSize->{640, 547},
WindowMargins->{{2, Automatic}, {Automatic, 1}},
MacintoshSystemPageSetup->"\<\
0000001804P000000bd2=_oboo83>`94o`85N@?NS0002008ool000001@050001
4C80I14Aool10`410@000BL?0040000000000000000004E@D3@10000004000P1
<`0AK01N0`004P000NOWinOWi`0R<A00\>"
]

(*******************************************************************
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[CellGroupData[{
Cell[1727, 52, 141, 2, 49, "Input"],
Cell[1871, 56, 69, 1, 42, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[1977, 62, 126, 2, 49, "Input"],
Cell[2106, 66, 57, 1, 29, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[2200, 72, 92, 1, 42, "Input"],
Cell[2295, 75, 115, 2, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[2447, 82, 116, 2, 44, "Input"],
Cell[2566, 86, 115, 2, 26, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[2718, 93, 205, 4, 49, "Input"],
Cell[2926, 99, 64, 1, 42, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[3027, 105, 166, 2, 44, "Input"],
Cell[3196, 109, 101, 2, 26, "Output"]
}, Open  ]]
}
]
*)



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


--- End Message ---
Antworten:
Re: [Fwd: Frage wg Mathematica]
Jens-Peer Kuska, 07.02.2002

Frühere

 

Chronologischer Index

 

Spätere

Vorherige

 

Thematischer Index

 

Nächste

DMUG-Archiv, http://www.mathematica.ch/dmug-liste.html; Letzte Änderung: 19.04.2004 18:19