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[Axiom-developer] [#47 complexForm(log(%i) - log(-%i))]


From: billpage
Subject: [Axiom-developer] [#47 complexForm(log(%i) - log(-%i))]
Date: Wed, 30 Mar 2005 02:09:37 -0600

Changes 
http://page.axiom-developer.org/zope/mathaction/47ComplexFormLogILogI/diff
--

++added:
\begin{axiom}

++added:
\end{axiomi}

??changed:
--> simplify(%i*log(-%i) - %i*log(%i))
-
-     %i log(- %i) - %i log( %i)
-
--> normalize(%i*log(-%i) - %i*log(%i))
-
-     %i log(- %i) - %i log( %i)
-     
--> complexNormalize(%i*log(-%i) - %i*log(%i))
-
-     %i log(- %i) - %i log( %i)
\begin{axiom}
simplify(%i*log(-%i) - %i*log(%i))
normalize(%i*log(-%i) - %i*log(%i))
complexNormalize(%i*log(-%i) - %i*log(%i))
\end{axiom}

--removed:
-======================================================================
-
-
-

??changed:
-COMPARE:
-
-Derive 6.1>      LOG(#i) - LOG(-#i)
-Maple 9.5.2>     ln(I) - ln(-I);
-MuPAD 3.1>       ln(I) - ln(-I);
-Mathematica 5.1> Log[I] - Log[-I]
-Maxima 5.9.1>    RECTFORM(LOG(%I) - LOG(-%I));
-
-                 #i*pi
COMPARE::

  Derive 6.1>      LOG(#i) - LOG(-#i)
  Maple 9.5.2>     ln(I) - ln(-I);
  MuPAD 3.1>       ln(I) - ln(-I);
  Mathematica 5.1> Log[I] - Log[-I]
  Maxima 5.9.1>    RECTFORM(LOG(%I) - LOG(-%I));

#i*pi

??changed:
-(8) -> argument(%i)
-
-        %pi
-   (8)  ---
-         2
-                                                     Type: Expression Integer
-(9) -> argument(-%i)
-
-        %pi
-   (9)  ---
-         2
-                                                     Type: Expression Integer
\begin{axiom}
argument(%i)
argument(-%i)
\end{axiom}

??changed:
-COMPCAT:
COMPCAT::

??changed:
-(15) -> argument(-%i*1.0)
-
-   (15)  - 1.5707963267 948966192
\begin{axiom}
argument(-%i*1.0)
\end{axioim}

--
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