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Edit detail for #7 Simplify changes the type of an expression revision 2 of 2

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Editor: kratt6
Time: 2007/12/20 01:43:19 GMT-8
Note:

added:

From kratt6 Thu Dec 20 01:43:19 -0800 2007
From: kratt6
Date: Thu, 20 Dec 2007 01:43:19 -0800
Subject: 
Message-ID: <20071220014319-0800@axiom-wiki.newsynthesis.org>

Category: Axiom Mathematics => Axiom Interpreter 
Status: open => rejected 

simplify takes an 'EXPR INT', not a 'POLY INT'.  The interpreter does the coercion silently for you.

Submitted by : (unknown) at: 2007-11-17T23:02:35-08:00 (17 years ago)
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axiom
factor(simplify((1+x)^3))

\label{eq1}{x^3}+{3 \ {x^2}}+{3 \  x}+ 1(1)
Type: Factored(Expression(Integer))

vs.

axiom
factor((1+x)^3)

\label{eq2}{\left(x + 1 \right)}^3(2)
Type: Factored(Polynomial(Integer))

simplify changes the type to Expression Integer, where the original was Polynomial Integer.

Why does factor refuse to factor an Expression Integer but succeeds with Polynomial Integer?

axiom
simplify((1+x)^3)

\label{eq3}{x^3}+{3 \ {x^2}}+{3 \  x}+ 1(3)
Type: Expression(Integer)
axiom
factor(%::Polynomial Integer)

\label{eq4}{\left(x + 1 \right)}^3(4)
Type: Factored(Polynomial(Integer))

property change
Sun, 06 Mar 2005 15:24:55 -0600 reply
property change
Tue, 08 Mar 2005 12:47:35 -0600 reply

Category: Axiom Mathematics => Axiom Interpreter Status: open => rejected

simplify takes an EXPR INT, not a POLY INT. The interpreter does the coercion silently for you.