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Edit detail for #431 exponentiation wrong in 'LODO' revision 6 of 6

1 2 3 4 5 6
Editor: alfredo
Time: 2008/10/16 13:01:39 GMT-7
Note:

added:

From alfredo Thu Oct 16 13:01:39 -0700 2008
From: alfredo
Date: Thu, 16 Oct 2008 13:01:39 -0700
Subject: 
Message-ID: <20081016130139-0700@axiom-wiki.newsynthesis.org>

Status: fixed somewhere => fix proposed 


Submitted by : kratt6 at: 2008-08-29T05:18:31-07:00 (15 years ago)
Name :
Axiom Version :
Category : Severity : Status :
Optional subject :  
Optional comment :

axiom
Dx: LODO(EXPR INT, f+->D(f,x)) := D();
Type: LinearOrdinaryDifferentialOperator?(Expression(Integer),theMap(*1;anonymousFunction;0;initial;internal))
axiom
u := operator 'u;
Type: BasicOperator?
axiom
L := Dx + u(x);
Type: LinearOrdinaryDifferentialOperator?(Expression(Integer),theMap(*1;anonymousFunction;0;initial;internal))
axiom
L**2 = L*L

\label{eq1}\begin{array}{@{}l}
\displaystyle
{{D^2}+{2 \ {u \left({x}\right)}\  D}+{{u_{\ }^{,}}\left({x}\right)}+{{u \left({x}\right)}^2}}= 
\
\
\displaystyle
{{D^2}+{2 \ {u \left({x}\right)}\  D}+{{u_{\ }^{,}}\left({x}\right)}+{{u \left({x}\right)}^2}}
(1)
Type: Equation(LinearOrdinaryDifferentialOperator?(Expression(Integer),theMap(*1;anonymousFunction;0;initial;internal)))

or

axiom
)cl co
All user variables and function definitions have been cleared. All )browse facility databases have been cleared. Internally cached functions and constructors have been cleared. )clear completely is finished. f: INT->INT:=x+->x+1

\label{eq2}\mbox{theMap (...)}(2)
Type: (Integer -> Integer)
axiom
K := OREUP(x, INT, 1, f);
Type: Type
axiom
L := x::K+1;
Type: UnivariateSkewPolynomial?(x,Integer,R -> R,theMap(*1;anonymousFunction;1;initial;internal))
axiom
L^2=L*L

\label{eq3}{{x^2}+{4 \  x}+ 3}={{x^2}+{4 \  x}+ 3}(3)
Type: Equation(UnivariateSkewPolynomial?(x,Integer,R -> R,theMap(*1;anonymousFunction;1;initial;internal)))

Reason is, that exponentiation is not taken from Monoid, but from SUP.

Martin

fixed in FriCAS revision 346 --kratt6, Sun, 31 Aug 2008 03:55:56 -0700 reply
Status: open => fixed somewhere

From Fricas --alfredo, Thu, 16 Oct 2008 13:01:25 -0700 reply
http://fricas.svn.sourceforge.net/viewvc/fricas/trunk/src/algebra/ore.spad.pamphlet?r1=257&r2=346&view=patch

Status: fixed somewhere => fix proposed