Re: Simplification of radicals
- To: mathgroup at smc.vnet.net
- Subject: [mg43310] Re: [mg43243] Simplification of radicals
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Sun, 24 Aug 2003 04:55:07 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Note: In[17]:= Simplify[Sqrt[1/x^2]*Sqrt[x^2], x $B":(B Reals] Out[17]= 1 Now observe that In[18]:= Sqrt[1/x^2]*Sqrt[x^2] /. x -> I Out[18]= -1 Andrzej Kozlowski Yokohama, Japan http://www.mimuw.edu.pl/~akoz/ http://platon.c.u-tokyo.ac.jp/andrzej/ On Saturday, August 23, 2003, at 02:08 PM, Alex wrote: > I tried this simple example > > (************** Content-type: application/mathematica ************** > CreatedBy='Mathematica 4.2' > > 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[ 1917, 60]*) > (*NotebookOutlinePosition[ 2559, 82]*) > (* CellTagsIndexPosition[ 2515, 78]*) > (*WindowFrame->Normal*) > > > > Notebook[{ > > Cell[CellGroupData[{ > Cell[BoxData[ > \(Simplify[\(\@\(1\/x\^2\)\) \@x\^2]\)], "Input"], > > Cell[BoxData[ > \(\@\(1\/x\^2\)\ \@x\^2\)], "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, 67, 1, 51, "Input"], > Cell[1846, 56, 55, 1, 51, "Output"] > }, Open ]] > } > ] > *) > > > > (******************************************************************* > End of Mathematica Notebook file. > *******************************************************************) > > > How come Mathematica couldn't simplify such a elementary thing? > > Alex > > >