changeset 52:e5a7345a2c66

added defination tex

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/SMC2015latex/definitions.tex	Mon Apr 27 10:00:07 2015 +0100
@@ -0,0 +1,205 @@
+%\usepackage{algorithmic}
+%\usepackage{algpseudocode}
+\usepackage{epsfig}		% This package allows encapsulated postscript
+%\usepackage{subfigure}		% This package allows subfigures
+\usepackage{amsmath}
+\usepackage{amssymb}
+
+\DeclareMathOperator*{\argmax}{arg\,max}
+\DeclareMathOperator*{\argmin}{arg\,min}
+
+\newcommand{\subdiv}[2]{#1\!\!\parallel_#2\,}
+
+\def\seqmember{q}   % member of example sequence
+\def\seqnmember{\acute{\seqmember}} % member of second example sequence
+\def\seqindex{n} % index
+%\def\subseq{M}
+\def\seqdiv{\lambda} % sequence division
+\def\subseqiter{\theta} %iteration of subsequence elements
+\def\seqalpha{\Theta} % number of elements per subsequence
+\def\seqiter{a} % index for subsequences in super sequence
+\def\seqdef{Q} % example sequence
+\def\seqndef{\acute{\seqdef}} % example sequence 2
+%\def\seqdeflength{K} %
+\def\demoa{\vartriangle} % example elements
+\def\demob{\blacktriangledown} % example elements
+
+\def\ssep{\,:\,} % set builder separator symbol
+
+\newcommand{\seqlength}[1]{|#1|}
+
+
+%General symbols
+\def\time{t}
+\def\timeorigin{\time_\textrm{org}}
+\def\timeend{\time_\textrm{end}}
+\def\timespan{\time_\textrm{span}}
+\def\delt{\Delta \time}
+\def\duration{\textrm{d}}		% duration of a note
+\def\start{\textrm{s}}		% onset time of a note
+\def\starttime{{\time_{\start}}}
+\def\durationtime{{\time_{\duration}}}
+\def\velocity{\nu}		% velocity/dynamic of a note
+\def\dist{d}			% distance function 
+\def\sync{\textsf{\emph{S}}}			% total syncopation value for a model (subscripted with model name e.g. \sync_\textrm{LHL}
+\def\sequence{Y}		% for a sequence of notes
+\def\note{y}			% a note
+\def\sequenceindex{n}		% for a sequence of notes
+\def\sequencelength{{|\sequence|}}%N
+
+%\def\metricset{XXX}
+\def\metricvector{H}
+\def\metricmember{h}
+\def\metricweight{w}
+\def\metricweightset{W}
+\def\metriclevel{L}
+\def\levelmax{\metriclevel_\textrm{max}}
+\def\metricindex{j}
+\def\metrictotal{I}
+\def\subdivision{\lambda}
+\def\subdivisionset{\Lambda}
+\def\allseqs{\mathbb{S}}
+\def\repnum{\alpha}
+
+
+\def\conitersum{\bigodot}
+
+\newcommand{\dsum}[2]{
+\hspace{-0.1cm}
+\begin{array}{c}
+_{{#1}}%
+%\vspace{-0.2cm}
+\\ \conitersum% \vspace{-0.2cm}
+ \\ ^{{#2}}\\
+\end{array} \hspace{-0.2cm}
+}
+
+\def\concatplus{\ast}
+\def\concatmul{\otimes}
+
+%time-span symbols
+\def\timespansequence{T}
+\def\spanlength{\time_\textrm{span}}  	% length of a timespan
+\def\spanvector{V}  	% timespan vector
+\def\binaryspanvector{B}
+\def\binaryspanmember{b}
+\def\spanmember{v} 		% member of a timespan vector
+\def\spanindex{m} 		% index of timespan vector
+\def\spandim{{|\spanvector|}}%M			% dimension of a timespan vector
+\def\binaryspandim{{|\binaryspanvector|}}%B
+
+\def\true{\textrm{True}}
+
+\def\dontcare{\textrm{X}}
+
+%LHL specific
+\def\lhl{LHL}
+%\def\lhlsumfunc{\varphi}
+\def\lhlfunc{\kappa}
+\def\lhlnode{\psi}
+\def\lhliter{a}
+%\def\terminals{\mathcal{S}}	% the set of all terminal nodes
+\def\NoteNode{\textsf{\small{N}}}	% node type N (note)
+\def\RestNode{\textsf{\small{R}}}	% node type R (rest)
+\def\NoteNodeIndex{j}	% node type N (note)
+\def\RestNodeIndex{i}	% node type R (rest)
+%\def\lhlnr{f(\lhlnode_\RestNodeIndex)}		% local syncopation value in LHL
+
+
+\def\NodeType{\eta}	% a node
+%\def\NRpairs{P}
+\def\lhlindex{a}
+\def\lhlseq{\Psi}
+
+
+%Keith specific
+\def\keith{KTH}
+\def\keithD{c}			% keith's D value (highest power of 2 that is less than the note duration)
+\def\keithk{k}			% keith local syncopation score for a note
+\def\keithostart{\mathfrak{o}}
+\def\keithoend{\mathfrak{e}}
+\def\keithd{g}
+\def\keitha{\xi}
+
+% Pressing specific
+\def\pressing{PRS}
+\def\prssubdiv{\mathcal{L}}
+\def\prstotalfunc{f}
+\def\prstypefunc{g}
+\def\prssumfunc{q}
+
+
+% metrical
+\def\metrical{TMC} %tousaint's metrical complexity
+\def\metricity{\varphi}
+\def\binaryspanvectorhat{\hat{\binaryspanvector}}
+\def\binaryspanmemberhat{\hat{\binaryspanmember}}
+
+%off-beatness
+\def\offbeat{TOB}
+\def\tobweight{\varsigma}
+
+
+\def\sioros{SG}
+\def\levelsrange{\beta}
+\def\previousweight{\gamma}
+\def\sgdif{\vartheta}
+\def\sgaverage{u}
+\def\sgpotential{\phi}
+\def\sgscore{s}
+%\def\sgx{{1}}
+%\def\sgy{{2}}
+\def\sgnext{{\rho}}
+\def\sgprev{{\varrho}}
+\def\sghhat{\ell}%{\hat{\metricweight}}}
+\def\sgmhat{{\hat{\spanindex}}}
+\def\maxmetricweight{\metricmember_\textrm{max}}
+
+
+% WNBD specific
+\def\wnbd{WNBD}
+\def\wnbdD{\mathcal{W}}
+\def\wnbdT{\mathcal{T}}
+\def\strongbeat{\mu}
+\def\strongbeatindex{i}
+
+%Keller-Schubert Autocorrelation
+\def\ksa{KSA}
+
+
+\def\pvalue{p}
+\def\regression{r}
+
+% Best-Single Combined
+\def\bsingle{\textrm{BSC}}
+\def\bsingletwo{\bsingle_2}
+\def\bsinglethree{\bsingle_3}
+
+%Weighted-Multiple Combined
+\def\wmultiple{\textrm{WMC}}
+
+% Tempo-Dependent 
+\def\tempo{\Upsilon}
+\def\td{\textsf{T}}
+\def\tdmodel{\textrm{M}}
+\def\bigtild{\hspace{-0.12cm}\sim\hspace{-0.12cm}}
+\def\littletild{\sim}
+
+
+\def\scalingfunction{F}
+
+% rhythm categories
+\def\binary{4/4 monorhythms}
+\def\ternary{6/8 monorhythms}
+\def\polyrhythms{polyrhythms}
+
+\newcommand{\refFig}[1] {Figure~\ref{#1}}
+\newcommand{\shortCap}[2] {\caption[#1]{#1 #2}}
+%\newcommand{\url}[1] {\texttt{#1}}
+
+% Quadratic function
+\def\parameterA{a}
+\def\parameterB{b}
+\def\parameterC{c}
+
+\def\sigp{0.001}
\ No newline at end of file