manual/c_glo0/c_glo0.tex

%$Header: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_glo0/c_glo0.tex,v 1.3 2010/03/16 21:56:02 dashley Exp $

\chapter{Glossary Of Terms}
\markboth{GLOSSARY OF TERMS}{GLOSSARY OF TERMS}

\label{cglo0}

\begin{vworktermglossaryenum}


\item \textbf{cardinality}\index{cardinality}

      The cardinality of a set is the
      number of elements in the set.  In this work, the cardinality
      of a set is denoted $n()$.  For example, 
      $n(\{12,29,327\}) = 3$.

\item \textbf{coprime}\index{coprime}

      Two integers that share no prime factors are \emph{coprime}.
      \emph{Example:}
      6 and 7 are coprime, whereas 6 and 8 are not.

\item \textbf{GMP}\index{GMP}

      The \emph{G}NU \emph{M}ultiple \emph{P}recision library.
      The GMP is an arbitrary-precision integer, rational number,
      and floating-point library that places no restrictions on
      size of integers or number of significant digits in floating-point
      numbers.  This 
      library is famous because it is the fastest of its
      kind, and generally uses asymptotically superior algorithms.

\item \textbf{greatest common divisor (g.c.d.)}

      The greatest common divisor of two integers is the largest
      integer which divides both integers without a remainder.
      \emph{Example:} the g.c.d. of 30 and 42 is 6.

\item \textbf{irreducible}

      A rational number $p/q$ where $p$ and $q$ are coprime
      is said to be \emph{irreducible}.
      Equivalently, it may be stated that $p$ and $q$ share no prime factors
      or that the greatest common divisor of
      $p$ and $q$ is 1.

%\item \textbf{KPH}
%
%      Kilometers per hour.
%
%\item \textbf{limb}\index{limb}
%
%      An integer of a size which a machine can manipulate natively
%      that is arranged in an array to create a larger
%      integer which the machine cannot manipulate natively and must be
%      manipulated through arithmetic subroutines.
%
%\item \textbf{limbsize}\index{limbsize}
%
%      The size, in bits, of a limb.  The limbsize usually represents
%      the size of integer that a machine can manipulate directly
%      through machine instructions.  For an inexpensive microcontroller,
%      8 or 16 is a typical limbsize.  For a personal computer or 
%      workstation, 32 or 64 is a typical limbsize.
%
%\item \textbf{MPH}
%
%      Miles per hour.

\end{vworktermglossaryenum}

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\noindent\begin{figure}[!b]
\noindent\rule[-0.25in]{\textwidth}{1pt}
\begin{tiny}
\begin{verbatim}
$RCSfile: c_glo0.tex,v $
$Source: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_glo0/c_glo0.tex,v $
$Revision: 1.3 $
$Author: dashley $
$Date: 2010/03/16 21:56:02 $
\end{verbatim}
\end{tiny}
\noindent\rule[0.25in]{\textwidth}{1pt}
\end{figure}

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%Revision 1.3  2010/03/16 21:56:02  dashley
%Edits and corrections.
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%Revision 1.2  2010/01/28 21:18:32  dashley
%a)Chapter start quotes removed.
%b)Aesthetic comment line added at the bottom of most files.
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%Revision 1.1  2007/08/30 14:42:04  dtashley
%Initial checkin.
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1	dashley	30	%$Header: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_glo0/c_glo0.tex,v 1.3 2010/03/16 21:56:02 dashley Exp $
2
3			\chapter{Glossary Of Terms}
4			\markboth{GLOSSARY OF TERMS}{GLOSSARY OF TERMS}
5
6			\label{cglo0}
7
8			\begin{vworktermglossaryenum}
9
10
11			\item \textbf{cardinality}\index{cardinality}
12
13			The cardinality of a set is the
14			number of elements in the set. In this work, the cardinality
15			of a set is denoted $n()$. For example,
16			$n(\{12,29,327\}) = 3$.
17
18			\item \textbf{coprime}\index{coprime}
19
20			Two integers that share no prime factors are \emph{coprime}.
21			\emph{Example:}
22			6 and 7 are coprime, whereas 6 and 8 are not.
23
24			\item \textbf{GMP}\index{GMP}
25
26			The \emph{G}NU \emph{M}ultiple \emph{P}recision library.
27			The GMP is an arbitrary-precision integer, rational number,
28			and floating-point library that places no restrictions on
29			size of integers or number of significant digits in floating-point
30			numbers. This
31			library is famous because it is the fastest of its
32			kind, and generally uses asymptotically superior algorithms.
33
34			\item \textbf{greatest common divisor (g.c.d.)}
35
36			The greatest common divisor of two integers is the largest
37			integer which divides both integers without a remainder.
38			\emph{Example:} the g.c.d. of 30 and 42 is 6.
39
40			\item \textbf{irreducible}
41
42			A rational number $p/q$ where $p$ and $q$ are coprime
43			is said to be \emph{irreducible}.
44			Equivalently, it may be stated that $p$ and $q$ share no prime factors
45			or that the greatest common divisor of
46			$p$ and $q$ is 1.
47
48			%\item \textbf{KPH}
49			%
50			% Kilometers per hour.
51			%
52			%\item \textbf{limb}\index{limb}
53			%
54			% An integer of a size which a machine can manipulate natively
55			% that is arranged in an array to create a larger
56			% integer which the machine cannot manipulate natively and must be
57			% manipulated through arithmetic subroutines.
58			%
59			%\item \textbf{limbsize}\index{limbsize}
60			%
61			% The size, in bits, of a limb. The limbsize usually represents
62			% the size of integer that a machine can manipulate directly
63			% through machine instructions. For an inexpensive microcontroller,
64			% 8 or 16 is a typical limbsize. For a personal computer or
65			% workstation, 32 or 64 is a typical limbsize.
66			%
67			%\item \textbf{MPH}
68			%
69			% Miles per hour.
70
71			\end{vworktermglossaryenum}
72
73			%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
74
75			\noindent\begin{figure}[!b]
76			\noindent\rule[-0.25in]{\textwidth}{1pt}
77			\begin{tiny}
78			\begin{verbatim}
79			$RCSfile: c_glo0.tex,v $
80			$Source: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_glo0/c_glo0.tex,v $
81			$Revision: 1.3 $
82			$Author: dashley $
83			$Date: 2010/03/16 21:56:02 $
84			\end{verbatim}
85			\end{tiny}
86			\noindent\rule[0.25in]{\textwidth}{1pt}
87			\end{figure}
88
89			%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
90			%$Log: c_glo0.tex,v $
91			%Revision 1.3 2010/03/16 21:56:02 dashley
92			%Edits and corrections.
93			%
94			%Revision 1.2 2010/01/28 21:18:32 dashley
95			%a)Chapter start quotes removed.
96			%b)Aesthetic comment line added at the bottom of most files.
97			%
98			%Revision 1.1 2007/08/30 14:42:04 dtashley
99			%Initial checkin.
100			%
101			%End of file $RCSfile: c_glo0.tex,v $.
102			%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
103