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Re: Some bugs in Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg59219] Re: [mg59188] Some bugs in Mathematica
• From: Chris Chiasson <chris.chiasson at gmail.com>
• Date: Tue, 2 Aug 2005 00:42:47 -0400 (EDT)
• References: <200508010505.BAA24522@smc.vnet.net>
• Reply-to: Chris Chiasson <chris.chiasson at gmail.com>
• Sender: owner-wri-mathgroup at wolfram.com

I tried pasting your first cell (function) into my notebook (via
opening a new cell, pressing ctrl+shift+e, and then replacing the cell
with yours). After I hit ctrl+shift+e again, it said there was a
syntax error.

On 8/1/05, akhmel at hotmail.com <akhmel at hotmail.com> wrote:
> Dear Mr. Lichtblau,
> 
> I attach hereby Mathematica file with 3 examples, which you might be
> interested to look at.
> 
> 1) Example of summation which gives an obviously wrong result, 0
> instead of
> 1.
> 2) Example of indefinate integration, which gives appel function
> instead of
> elementary logarithm.
> 3) Definite integration which doesn't give any result at all, though
> again,
> it is nothing but elementary function.
> 
> Your comments will be appreciated.
> 
> Thanks,
> 
> Alex
> 
> 
> Notebook[{
> 
> Cell[CellGroupData[{
> Cell[BoxData[
>     \(Sum[\(Gamma[n - k - 1/2] Gamma[k + 1/2]\)\/\(Gamma[n - k - 1]
> Gamma[k + \
> 1]\), {k, 0, n - 1}]\)], "Input"],
> 
> Cell[BoxData[
>     \(0\)], "Output"]
> }, Open  ]],
> 
> Cell[CellGroupData[{
> 
> Cell[BoxData[
>     \(Integrate[1\/\(r \(\@\( r\^2 - a\^2\)\) \@\(r\^2 - b\^2\)\),
>       r]\)], "Input"],
> 
> Cell[BoxData[
>     \(\(-\(\(\@\(1 - a\^2\/r\^2\)\ \@\(1 - b\^2\/r\^2\)\ AppellF1[1,
> 1\/2,
>               1\/2, 2, a\^2\/r\^2,
>               b\^2\/r\^2]\)\/\(2\ \@\(\(-a\^2\) + r\^2\)\ \@\(\(-b\^2\)
> + \
> r\^2\)\)\)\)\)], "Output"]
> }, Open  ]],
> 
> Cell[BoxData[
>     \(\(\(-\(\(\@\(1 - a\^2\/r\^2\)\ \@\(1 - b\^2\/r\^2\)\ AppellF1[1,
> 1\/2,
>               1\/2, 2, a\^2\/r\^2,
>               b\^2\/r\^2]\)\/\(2\ \@\(\(-a\^2\) + r\^2\)\ \@\(\(-b\^2\)
> + \
> r\^2\)\)\)\)\(\[IndentingNewLine]\)
>     \)\)], "Input"],
> 
> Cell[CellGroupData[{
> 
> Cell[BoxData[
>     \(Integrate[
>       1\/\(\(r\^3\) \(\@\(r\^2 - a\^2\)\) \@\(r\^2 - b\^2\)\), {r, x,
>         a}]\)], "Input"],
> 
> Cell[BoxData[
>     \(Integrate::"gener" \(\(:\)\(\ \)\)
>       "Unable to check convergence."\)], "Message"],
> 
> Cell[BoxData[
>     \(\[Integral]\_x\%a\(
>             1\/\(r\^3\ \@\(\(-a\^2\) + r\^2\)\ \@\(\(-b\^2\) +
> r\^2\)\)\) \
> \[DifferentialD]r\)], "Output"]
> }, Open  ]]
> },
> FrontEndVersion->"4.2 for Microsoft Windows",
> ScreenRectangle->{{0, 720}, {0, 407}},
> WindowSize->{496, 249},
> WindowMargins->{{0, Automatic}, {Automatic, 0}}
> ]
> 
> (*******************************************************************
> 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[1776, 53, 127, 2, 44, "Input"],
> Cell[1906, 57, 35, 1, 29, "Output"]
> }, Open  ]],
> 
> Cell[CellGroupData[{
> Cell[1978, 63, 103, 2, 48, "Input"],
> Cell[2084, 67, 228, 4, 71, "Output"]
> }, Open  ]],
> Cell[2327, 74, 259, 5, 98, "Input"],
> 
> Cell[CellGroupData[{
> Cell[2611, 83, 126, 3, 48, "Input"],
> Cell[2740, 88, 107, 2, 24, "Message"],
> Cell[2850, 92, 148, 3, 46, "Output"]
> }, Open  ]]
> }
> ]
> *)
> 
> 


-- 
Chris Chiasson
http://chrischiasson.com/
1 (810) 265-3161

• References:
  • Some bugs in Mathematica
    • From: akhmel@hotmail.com