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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/algebra/equation1.spad.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/algebra/equation1.spad.pamphlet')
-rw-r--r-- | src/algebra/equation1.spad.pamphlet | 112 |
1 files changed, 112 insertions, 0 deletions
diff --git a/src/algebra/equation1.spad.pamphlet b/src/algebra/equation1.spad.pamphlet new file mode 100644 index 00000000..a147e689 --- /dev/null +++ b/src/algebra/equation1.spad.pamphlet @@ -0,0 +1,112 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/algebra equation1.spad} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{category IEVALAB InnerEvalable} +<<category IEVALAB InnerEvalable>>= +)abbrev category IEVALAB InnerEvalable +-- FOR THE BENEFIT OF LIBAX0 GENERATION +++ Author: +++ Date Created: +++ Date Last Updated: June 3, 1991 +++ Basic Operations: +++ Related Domains: +++ Also See: Evalable +++ AMS Classifications: +++ Keywords: equation +++ Examples: +++ References: +++ Description: +++ This category provides \spadfun{eval} operations. +++ A domain may belong to this category if it is possible to make +++ ``evaluation'' substitutions. The difference between this +++ and \spadtype{Evalable} is that the operations in this category +++ specify the substitution as a pair of arguments rather than as +++ an equation. +InnerEvalable(A:SetCategory, B:Type): Category == with + eval: ($, A, B) -> $ + ++ eval(f, x, v) replaces x by v in f. + eval: ($, List A, List B) -> $ + ++ eval(f, [x1,...,xn], [v1,...,vn]) replaces xi by vi in f. + add + eval(f:$, x:A, v:B) == eval(f, [x], [v]) + +@ +\section{category EVALAB Evalable} +<<category EVALAB Evalable>>= +)abbrev category EVALAB Evalable +++ Author: +++ Date Created: +++ Date Last Updated: June 3, 1991 +++ Basic Operations: +++ Related Domains: +++ Also See: FullyEvalable +++ AMS Classifications: +++ Keywords: equation +++ Examples: +++ References: +++ Description: +++ This category provides \spadfun{eval} operations. +++ A domain may belong to this category if it is possible to make +++ ``evaluation'' substitutions. +Evalable(R:SetCategory): Category == InnerEvalable(R,R) with + eval: ($, Equation R) -> $ + ++ eval(f,x = v) replaces x by v in f. + eval: ($, List Equation R) -> $ + ++ eval(f, [x1 = v1,...,xn = vn]) replaces xi by vi in f. + add + eval(f:$, eq:Equation R) == eval(f, [eq]) + eval(f:$, xs:List R,vs:List R) == eval(f,[x=v for x in xs for v in vs]) + +@ +\section{License} +<<license>>= +--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. +--All rights reserved. +-- +--Redistribution and use in source and binary forms, with or without +--modification, are permitted provided that the following conditions are +--met: +-- +-- - Redistributions of source code must retain the above copyright +-- notice, this list of conditions and the following disclaimer. +-- +-- - Redistributions in binary form must reproduce the above copyright +-- notice, this list of conditions and the following disclaimer in +-- the documentation and/or other materials provided with the +-- distribution. +-- +-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the +-- names of its contributors may be used to endorse or promote products +-- derived from this software without specific prior written permission. +-- +--THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS +--IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +--TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A +--PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER +--OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +--EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +--PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +--PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF +--LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING +--NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +--SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +@ +<<*>>= +<<license>> + +<<category IEVALAB InnerEvalable>> +<<category EVALAB Evalable>> +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |