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authordos-reis <gdr@axiomatics.org>2008-09-18 14:26:35 +0000
committerdos-reis <gdr@axiomatics.org>2008-09-18 14:26:35 +0000
commit4126dc2b32ee818635e57990b3e6f647b9a7dbcb (patch)
tree63a1bab1ef8e5c3b301683069c6e42d6076c5cf8 /src/algebra/moebius.spad.pamphlet
parentc7922bf127eac4b203fc3c36b0ae1d0f9d279f54 (diff)
downloadopen-axiom-4126dc2b32ee818635e57990b3e6f647b9a7dbcb.tar.gz
* interp/c-util.boot (displayAmbiguousSignatures): New.
(ambiguousSignatureError): Likewise. * interp/define.boot (hasSigInTargetCategory): Use it to reject ambiguous lhs of a definition. * interp/lisplib.boot (leaveIfErrors): Fix typo. * algebra/aggcat.spad.pamphlet: Disambiguate definitions. * algebra/card.spad.pamphlet: Likewise. * algebra/dhmatrix.spad.pamphlet: Likewise. * algebra/divisor.spad.pamphlet: Likewise. * algebra/expexpan.spad.pamphlet: Likewise. * algebra/ffcat.spad.pamphlet: Likewise. * algebra/ffcg.spad.pamphlet: Likewise. * algebra/ffnb.spad.pamphlet: Likewise. * algebra/ffp.spad.pamphlet: Likewise. * algebra/generic.spad.pamphlet: Likewise. * algebra/groebf.spad.pamphlet: Likewise. * algebra/modring.spad.pamphlet: Likewise. * algebra/moebius.spad.pamphlet: Likewise. * algebra/mts.spad.pamphlet: Likewise. * algebra/naalgc.spad.pamphlet: Likewise. * algebra/ore.spad.pamphlet: Likewise. * algebra/outform.spad.pamphlet: Likewise. * algebra/pf.spad.pamphlet: Likewise. * algebra/poly.spad.pamphlet: Likewise. * algebra/polycat.spad.pamphlet: Likewise. * algebra/prtition.spad.pamphlet: Likewise. * algebra/radix.spad.pamphlet: Likewise. * algebra/rep2.spad.pamphlet: Likewise. * algebra/stream.spad.pamphlet: Likewise. * algebra/string.spad.pamphlet: Likewise. * algebra/tree.spad.pamphlet: Likewise. * algebra/triset.spad.pamphlet: Likewise. * algebra/view2D.spad.pamphlet: Likewise. * algebra/sf.spad.pamphlet: Remove signature for hash. * algebra/si.spad.pamphlet: Likewise.
Diffstat (limited to 'src/algebra/moebius.spad.pamphlet')
-rw-r--r--src/algebra/moebius.spad.pamphlet10
1 files changed, 7 insertions, 3 deletions
diff --git a/src/algebra/moebius.spad.pamphlet b/src/algebra/moebius.spad.pamphlet
index a6b10b66..d0681a82 100644
--- a/src/algebra/moebius.spad.pamphlet
+++ b/src/algebra/moebius.spad.pamphlet
@@ -1,16 +1,20 @@
\documentclass{article}
\usepackage{axiom}
\begin{document}
-\title{\$SPAD/src/algebra moebius.spad}
+
+\title{src/algebra moebius.spad}
\author{Stephen M. Watt}
\maketitle
+
\begin{abstract}
\end{abstract}
-\eject
+
\tableofcontents
\eject
+
\section{domain MOEBIUS MoebiusTransform}
<<domain MOEBIUS MoebiusTransform>>=
+import OnePointCompletion
)abbrev domain MOEBIUS MoebiusTransform
++ 2-by-2 matrices acting on P1(F).
++ Author: Stephen "Say" Watt
@@ -79,7 +83,7 @@ MoebiusTransform(F): Exports == Implementation where
shift(t,f) == moebius(a(t) + f*c(t), b(t) + f*d(t), c(t), d(t))
scale(t,f) == moebius(f*a(t),f*b(t),c(t),d(t))
- recip t == moebius(c(t),d(t),a(t),b(t))
+ recip(t: %): % == moebius(c(t),d(t),a(t),b(t))
eval(t:%,f:F) == (a(t)*f + b(t))/(c(t)*f + d(t))
eval(t:%,f:P1F) ==