login  home  contents  what's new  discussion  bug reports     help  links  subscribe  changes  refresh  edit
IssueTracker
#253 factor returns wrong result  ← ↑ →  #255 install DoyenWiki from DoyenCD

#254 <code>factor$AN</code> doesn't factor $x^2-2$
  
last edited 9 years ago by test1

Submitted by : (unknown) at: 2007-11-17T22:15:50-08:00 (17 years ago)
Name :
Axiom Version :
Category : Severity : Status :
Optional subject :  
Optional comment :

I think that this is also a bug:

fricas
factor(x^2-2::POLY AN)
\label{eq1}{{x}^{2}}- 2(1)
Type: Factored(Polynomial(AlgebraicNumber?))

I'd expect (x-\sqrt{2})(x+\sqrt{2}).

In fact, over algebraic numbers (and over Expression) factor if specified to factor over a subfield generated by coefficients of the polynomial. More precisely, factor only uses kernels present in the coefficients and will not introduce new roots. OTOH split will build appropriate extension. 





... --test1,  Fri, 19 Jun 2015 15:42:51 +0000 reply
Name: '#254 factor$AN doesn't factor $x^2-2$' => '#254 factor$AN doesn't factor $x^2-2$' 
Status: open => closed
Some or all expressions may not have rendered properly, because Latex returned the following error:
This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6)
 \write18 enabled.
 %&-line parsing enabled.
entering extended mode
(./4865253229258240602-16.0px.tex
LaTeX2e <2005/12/01>
Babel <v3.8h> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, arabic, farsi, croatian, ukrainian, russian, bulgarian, czech, slov
ak, danish, dutch, finnish, basque, french, german, ngerman, ibycus, greek, mon
ogreek, ancientgreek, hungarian, italian, latin, mongolian, norsk, icelandic, i
nterlingua, turkish, coptic, romanian, welsh, serbian, slovenian, estonian, esp
eranto, uppersorbian, indonesian, polish, portuguese, spanish, catalan, galicia
n, swedish, ukenglish, pinyin, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2005/09/16 v1.4f Standard LaTeX document class
(/usr/share/texmf-texlive/tex/latex/base/size12.clo))
(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
(/usr/share/texmf-texlive/tex/latex/ucs/utf8x.def))
(/usr/share/texmf-texlive/tex/latex/bbm/bbm.sty)
(/usr/share/texmf-texlive/tex/latex/jknapltx/mathrsfs.sty)
(/usr/share/texmf-texlive/tex/latex/base/fontenc.sty
(/usr/share/texmf-texlive/tex/latex/base/t1enc.def))
(/usr/share/texmf-texlive/tex/latex/pstricks/pstricks.sty
(/usr/share/texmf-texlive/tex/generic/pstricks/pstricks.tex
`PSTricks' v1.15  <2006/12/22> (tvz)
(/usr/share/texmf-texlive/tex/generic/pstricks/pstricks.con))
(/usr/share/texmf/tex/latex/xcolor/xcolor.sty
(/etc/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def)))
(/usr/share/texmf-texlive/tex/latex/graphics/epsfig.sty
(/usr/share/texmf-texlive/tex/latex/graphics/graphicx.sty
(/usr/share/texmf-texlive/tex/latex/graphics/keyval.sty)
(/usr/share/texmf-texlive/tex/latex/graphics/graphics.sty
(/usr/share/texmf-texlive/tex/latex/graphics/trig.sty)
(/etc/texmf/tex/latex/config/graphics.cfg))))
(/usr/share/texmf-texlive/tex/latex/pst-grad/pst-grad.sty
(/usr/share/texmf-texlive/tex/generic/pst-grad/pst-grad.tex
(/usr/share/texmf-texlive/tex/latex/xkeyval/pst-xkey.tex
(/usr/share/texmf-texlive/tex/latex/xkeyval/xkeyval.sty
(/usr/share/texmf-texlive/tex/latex/xkeyval/xkeyval.tex)))
`pst-plot' v1.05, 2006/11/04 (tvz,dg,hv)))
(/usr/share/texmf-texlive/tex/latex/pstricks/pst-plot.sty
(/usr/share/texmf-texlive/tex/generic/pstricks/pst-plot.tex
 v97 patch 2, 1999/12/12
(/usr/share/texmf-texlive/tex/generic/multido/multido.tex
 v1.41, 2004/05/18 <tvz>)))
(/usr/share/texmf-texlive/tex/latex/geometry/geometry.sty
(/usr/share/texmf-texlive/tex/xelatex/xetexconfig/geometry.cfg)


Package geometry Warning: `lmargin' and `rmargin' result in NEGATIVE (-108.405p
t).
    `width' should be shortened in length.


) (/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `? option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty)
(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/setspace/setspace.sty
Package: `setspace 6.7 <2000/12/01>
) (/usr/share/texmf-texlive/tex/generic/xypic/xy.sty
(/usr/share/texmf-texlive/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes,
docmode, (/usr/share/texmf-texlive/tex/generic/xypic/xyrecat.tex)
(/usr/share/texmf-texlive/tex/generic/xypic/xyidioms.tex)
 Xy-pic version 3.7 <1999/02/16>
 Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr>
 Xy-pic is free software: see the User's Guide for details.




Loading kernel: messages; fonts; allocations: state, direction,
utility macros; pictures: \xy, positions, objects, decorations;
kernel objects: directionals, circles, text; options; algorithms: directions,
edges, connections;  Xy-pic loaded))
(/usr/share/texmf-texlive/tex/generic/xypic/xyall.tex
 Xy-pic option: All features v.3.3
(/usr/share/texmf-texlive/tex/generic/xypic/xycurve.tex
 Xy-pic option: Curve and Spline extension v.3.7 curve, circles, loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyframe.tex
 Xy-pic option: Frame and Bracket extension v.3.7 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xycmtip.tex
 Xy-pic option: Computer Modern tip extension v.3.3
(/usr/share/texmf-texlive/tex/generic/xypic/xytips.tex
 Xy-pic option: More Tips extension v.3.3 loaded) loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyline.tex
 Xy-pic option: Line styles extension v.3.6 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyrotate.tex
 Xy-pic option: Rotate and Scale extension v.3.3 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xycolor.tex
 Xy-pic option: Colour extension v.3.3 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xymatrix.tex
 Xy-pic option: Matrix feature v.3.4 loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xyarrow.tex
 Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded)
(/usr/share/texmf-texlive/tex/generic/xypic/xygraph.tex
 Xy-pic option: Graph feature v.3.7 loaded) loaded)
(/usr/share/texmf-texlive/tex/latex/tools/verbatim.sty)
(/usr/share/texmf/tex/latex/graphviz/graphviz.sty
(/usr/share/texmf-texlive/tex/latex/psfrag/psfrag.sty))
(/usr/share/texmf/tex/latex/sagetex.sty
Writing sage input file 4865253229258240602-16.0px.sage
) (/usr/share/texmf-texlive/tex/latex/gnuplottex/gnuplottex.sty
(/usr/share/texmf-texlive/tex/latex/base/latexsym.sty)
(/usr/share/texmf-texlive/tex/latex/moreverb/moreverb.sty)
(/usr/share/texmf-texlive/tex/latex/base/ifthen.sty))
(./4865253229258240602-16.0px.aux)
(/usr/share/texmf-texlive/tex/latex/ucs/ucsencs.def)
(/usr/share/texmf-texlive/tex/latex/jknapltx/ursfs.fd)
(/usr/share/texmf-texlive/tex/latex/amsfonts/umsa.fd)
(/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd)
(/usr/share/texmf-texlive/tex/latex/base/ulasy.fd) [1]
 You can't use `macro parameter character #' in display math mode.
<recently read> ##


l.122 $$' => '#
               254 <code>factor$$\newpage
[2] [3] (./4865253229258240602-16.0px.aux) )
(see the transcript file for additional information)
Output written on 4865253229258240602-16.0px.dvi (3 pages, 1040 bytes).
Transcript written on 4865253229258240602-16.0px.log.




  Subject:   Be Bold !!
  ( 15 subscribers )  
Please rate this page: