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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/xpbwpoly.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input XPBWPOLY.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+<<*>>=
+)cl all
+
+a:Symbol := 'a
+b:Symbol := 'b
+RN := Fraction(Integer)
+word := OrderedFreeMonoid Symbol
+lword := LyndonWord(Symbol)
+base := PoincareBirkhoffWittLyndonBasis Symbol
+dpoly := XDistributedPolynomial(Symbol, RN)
+rpoly := XRecursivePolynomial(Symbol, RN)
+lpoly := LiePolynomial(Symbol, RN)
+poly := XPBWPolynomial(Symbol, RN)
+liste : List lword := LyndonWordsList([a,b], 6)
+0$poly
+1$poly
+p : poly := a
+q : poly := b
+pq: poly := p*q
+pq :: dpoly
+mirror pq
+ListOfTerms pq
+reductum pq
+leadingMonomial pq
+coefficients pq
+leadingTerm pq
+degree pq
+pq4:=exp(pq,4)
+log(pq4,4) - pq
+lp1 :lpoly := LiePoly liste.10
+lp2 :lpoly := LiePoly liste.11
+lp :lpoly := [lp1, lp2]
+lpd1: dpoly := lp1
+lpd2: dpoly := lp2
+lpd : dpoly := lpd1 * lpd2 - lpd2 * lpd1
+lp :: dpoly - lpd
+p := 3 * lp
+q := lp1
+pq:= p * q
+pr:rpoly := p :: rpoly
+qr:rpoly := q :: rpoly
+pq :: rpoly - pr*qr
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}