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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/input/lindep.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/lindep.input.pamphlet')
-rw-r--r-- | src/input/lindep.input.pamphlet | 45 |
1 files changed, 45 insertions, 0 deletions
diff --git a/src/input/lindep.input.pamphlet b/src/input/lindep.input.pamphlet new file mode 100644 index 00000000..4623b09e --- /dev/null +++ b/src/input/lindep.input.pamphlet @@ -0,0 +1,45 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input lindep.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1991. +@ +<<*>>= +<<license>> + +)cl all +v(i:INT):DIRPROD(5, FRAC INT) == + directProduct vector [i / (i + j) for j in 0..4] +-- Create several elements of Q^5 +V := vector [v i for i in 1..6] +-- Are they linearly dependent over Z? +linearlyDependentOverZ? V +-- Get the linear dependence relation over Z explicitly +linearDependenceOverZ V +-- the Vi's are linearly dependent, express V.2 in terms of the others +solveLinearlyOverQ(delete(V, 2), V.2) +w(i:INT):SQMATRIX(2, INT) == + squareMatrix matrix [[i, i + 1], [i - 1, -i]] +-- Create several elements of Z(2) +W := vector [w i for i in 1..3] +-- Are they linearly dependent over Z? +linearlyDependentOverZ? W +-- Get the linear dependence relation over Z explicitly +linearDependenceOverZ W +-- the Wi's are linearly dependent, express W.2 in terms of the others +solveLinearlyOverQ(delete(W, 2), W.2) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |