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Edit detail for #106 Results of integrate(x^2) and integrate(x^2,x) are different revision 1 of 1

1
Editor:
Time: 2007/11/17 21:52:00 GMT-8
Note: property change

changed:
-
The interpreter returns different results (different types) for
\begin{axiom}
integrate(x^2)
integrate(x^2,x)
\end{axiom}

Why?

From greg Tue Apr 4 11:59:15 -0500 2006
From: greg
Date: Tue, 04 Apr 2006 11:59:15 -0500
Subject: Implemented in different domains 
Message-ID: <20060404115915-0500@wiki.axiom-developer.org>

The polynomial constructor, in the interpreter, is usually 'Polynomial' but here the function integrate with signature::

    integrate : % -> % if R has ALGEBRA FRAC INT

is only implemented for univariate polynomial since the variable is "known" and therefore the polynomial can be integrated with respect to it.

I close this issue, please reopen it, if you are not agree.


From greg Tue Apr 4 11:59:47 -0500 2006
From: greg
Date: Tue, 04 Apr 2006 11:59:47 -0500
Subject: property change
Message-ID: <20060404115947-0500@wiki.axiom-developer.org>

Status: open => closed 


Submitted by : (unknown) at: 2007-11-17T21:52:00-08:00 (17 years ago)
Name :
Axiom Version :
Category : Severity : Status :
Optional subject :  
Optional comment :

The interpreter returns different results (different types) for

fricas
(1) -> integrate(x^2)

\label{eq1}{\frac{1}{3}}\ {{x}^{3}}(1)
Type: UnivariatePolynomial(x,Fraction(Integer))
fricas
integrate(x^2,x)

\label{eq2}{\frac{1}{3}}\ {{x}^{3}}(2)
Type: Polynomial(Fraction(Integer))

Why?

Implemented in different domains --greg, Tue, 04 Apr 2006 11:59:15 -0500 reply
The polynomial constructor, in the interpreter, is usually Polynomial but here the function integrate with signature:
    integrate : % -> % if R has ALGEBRA FRAC INT

is only implemented for univariate polynomial since the variable is "known" and therefore the polynomial can be integrated with respect to it.

I close this issue, please reopen it, if you are not agree.

property change --greg, Tue, 04 Apr 2006 11:59:47 -0500 reply
Status: open => closed