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diff --git a/src/algebra/young.spad.pamphlet b/src/algebra/young.spad.pamphlet new file mode 100644 index 00000000..df84cf01 --- /dev/null +++ b/src/algebra/young.spad.pamphlet @@ -0,0 +1,85 @@ +\documentclass{article} +\usepackage{open-axiom} + +\author{Gabriel Dos~Reis} + +\begin{document} + +\begin{abstract} +\end{abstract} + +\tableofcontents +\eject + + +\section{Young Diagram} + +<<domain YDIAGRAM YoungDiagram>>= +++ Author: Gabriel Dos Reis +++ Date Last Created: April 17, 2010 +++ Date Last Modified: April 17, 2010 +++ Description: +++ This domain provides representations of Young diagrams. +)abbrev domain YDIAGRAM YoungDiagram +YoungDiagram(): Public == Private where + Public == Join(SetCategory,HomotopicTo Partition) with + youngDiagram: List PositiveInteger -> % + ++ \spad{youngDiagram l} returns an object representing a Young + ++ diagram with shape given by the list of integers \spad{l} + shape: % -> Partition + ++ \spad{shape x} returns the partition shaping \spad{x}. + Private == add + macro LP == List PositiveInteger + Rep == Partition + youngDiagram l == per partition l + shape x == rep x + coerce(x: %): Partition == rep x + coerce(p: Partition): % == per p + x = y == rep x = rep y + coerce(x: %): OutputForm == + b := box empty()$OutputForm + pile [blankSeparate [b for i in 1..n] for n in shape(x)::LP] +@ + + + +\section{License} +<<license>>= +--Copyright (C) 2010, Gabriel Dos Reis. +--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>> + +<<domain YDIAGRAM YoungDiagram>> +@ |