Update to version 0.1
More detailed comparison with [Wilson, 1975]. Proof of the uniqueness of the non-trivial fixed point. Reformatting, relabeling.
This commit is contained in:
Ian Jauslin
parent
276335e730
commit
121c2ba1a3
File diff suppressed because it is too large
Load Diff
@ -1,75 +1,99 @@
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\hrefanchor
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\outdef{citeabeSeO}{ABe71}
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\hbox{\parbox[t]{\rw}{[\cite{abeSeO}]}\parbox[t]{\colw}{D.~Abraham, E.~Barouch, G.~Gallavotti, A.~Martin-L\"of - {\it Dynamics of a local perturbation in the XY model - I.~Approach to equilibrium}, Studies in Applied Mathematics, Vol.~50, p.~121-131, 1971.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeandSeZ}{And70}
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\hbox{\parbox[t]{\rw}{[\cite{andSeZ}]}\parbox[t]{\colw}{P.~Anderson - {\it A poor man's derivation of scaling laws for the Kondo problem}, Journal of Physics C: Solid State Physics, Vol.~3, p.~2436, 1970.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeandSO}{And61}
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\hbox{\parbox[t]{\rw}{[\cite{andSO}]}\parbox[t]{\colw}{P.~Anderson - {\it Localized magnetic states in metals}, Physical Review, Vol.~124, n.~1, p.~41-53, 1961.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeayhSeZ}{AYH70}
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||||
\hbox{\parbox[t]{\rw}{[\cite{ayhSeZ}]}\parbox[t]{\colw}{P.~Anderson, G.~Yuval, D.~Hamann - {\it Exact results in the Kondo problem - II. Scaling theory, qualitatively correct solution, and some new results on one-dimensional classical statistical mechanics}, Physical Review B, Vol.~1, n.~11, p.~4464-4473, 1970.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeaySN}{AY69}
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\hbox{\parbox[t]{\rw}{[\cite{aySN}]}\parbox[t]{\colw}{P.~Anderson, G.~Yuval - {\it Exact results in the Kondo problem: equivalence to a classical one-dimensional Coulomb gas}, Physical Review Letters, Vol.~23, n.~2, p.~89-92, 1969.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeandEZ}{And80}
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\hbox{\parbox[t]{\rw}{[\cite{andEZ}]}\parbox[t]{\colw}{N.~Andrei - {\it Diagonalization of the Kondo Hamiltonian}, Physical Review Letters, Vol.~45, n.~5, 1980.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeaflETh}{AFL83}
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\hbox{\parbox[t]{\rw}{[\cite{aflETh}]}\parbox[t]{\colw}{N.~Andrei, K.~Furuya, J.~Lowenstein - {\it Solution of the Kondo problem}, Reviews of Modern Physics, Vol.~55, n.~2, p.~331-402, 1983.}}\par
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\bigskip
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\hrefanchor
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\outdef{citebgNZ}{BG90}
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\hbox{\parbox[t]{\rw}{[\cite{bgNZ}]}\parbox[t]{\colw}{G.~Benfatto, G.~Gallavotti - {\it Perturbation theory of the Fermi surface in a quantum Liquid - a general quasiparticle formalism and one-dimensional systems}, Journal of Statistical Physics, Vol.~59, n.~2-3, p.~541-664, 1990.}}\par
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\bigskip
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\hrefanchor
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\outdef{citebgeNF}{BGe90}
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\hbox{\parbox[t]{\rw}{[\cite{bgeNF}]}\parbox[t]{\colw}{G.~Benfatto, G.~Gallavotti, A.~Procacci, B.~Scoppola - {\it Beta function and Schwinger functions for a many Fermions system in one dimension - Anomaly of the Fermi surface}, Communications in Mathematical Physics, Vol.~160, p.~93-171, 1994.}}\par
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\bigskip
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\hrefanchor
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\outdef{citedorNO}{Dor91}
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\hbox{\parbox[t]{\rw}{[\cite{dorNO}]}\parbox[t]{\colw}{T.~Dorlas - {\it Renormalization group analysis of a simple hierarchical fermion model}, Communications in Mathematical Physics, Vol.~136, p.~169-194, 1991.}}\par
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\bigskip
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\hrefanchor
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\outdef{citedysSN}{Dys69}
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\hbox{\parbox[t]{\rw}{[\cite{dysSN}]}\parbox[t]{\colw}{F.~Dyson - {\it Existence of a phase-transition in a one-dimensional Ising ferromagnet}, Communications in Mathematical Physics, Vol.~12, p.~91-107, 1969.}}\par
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\bigskip
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\hrefanchor
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\outdef{citekitSeS}{Kit76}
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\hbox{\parbox[t]{\rw}{[\cite{kitSeS}]}\parbox[t]{\colw}{C.~Kittel - {\it Introduction to solid state physics}, Wiley\&Sons, 1976.}}\par
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\bigskip
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\hrefanchor
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\outdef{citekonSF}{Kon64}
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\hbox{\parbox[t]{\rw}{[\cite{konSF}]}\parbox[t]{\colw}{J.~Kondo - {\it Resistance minimum in dilute magnetic alloys}, Progress of Theoretical Physics, Vol.~32, n.~1, 1964.}}\par
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\bigskip
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\hrefanchor
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\outdef{citekonZFi}{Kon05}
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\hbox{\parbox[t]{\rw}{[\cite{konZFi}]}\parbox[t]{\colw}{J.~Kondo - {\it Sticking to my bush}, Journal of the Physical Society of Japan, Vol.~74, n.~1, p.~1-3, 2005.}}\par
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\bigskip
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\hrefanchor
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\outdef{citenozSeF}{Noz74}
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\hbox{\parbox[t]{\rw}{[\cite{nozSeF}]}\parbox[t]{\colw}{P.~Nozi\`eres - {\it A ``Fermi-liquid'' description of the Kondo problem at low temperatures}, Journal of Low Temperature Physics, Vol.~17, n.~1-2, p.~31-42, 1974.}}\par
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\bigskip
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\hrefanchor
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\outdef{citerueSN}{Rue69}
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\hbox{\parbox[t]{\rw}{[\cite{rueSN}]}\parbox[t]{\colw}{D.~Ruelle - {\it Statistical mechanics: rigorous results}, Imperial College Press, World Scientific, first edition: Benjamin, 1969, 1999.}}\par
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\bigskip
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\hrefanchor
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\outdef{citeshaNF}{Sha94}
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\hbox{\parbox[t]{\rw}{[\cite{shaNF}]}\parbox[t]{\colw}{R.~Shankar - {\it Renormalization group approach to interacting fermions}, Reviews of Modern Physics, Vol.~66, n.~1, p.~129-192, 1994.}}\par
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\bigskip
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\hrefanchor
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\outdef{citewilSeFi}{Wil75}
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\hbox{\parbox[t]{\rw}{[\cite{wilSeFi}]}\parbox[t]{\colw}{K.~Wilson - {\it The renormalization group: Critical phenomena and the Kondo problem}, Reviews of Modern Physics, Vol.~47, n.~4, 1975.}}\par
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\bigskip
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\hrefanchor
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\outdef{citewilSFi}{Wil65}
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\hbox{\parbox[t]{\rw}{[\cite{wilSFi}]}\parbox[t]{\colw}{K.~Wilson - {\it Model Hamiltonians for local quantum field theory}, Physical Review, Vol.~140, n.~2B, p.~445-457, 1965.}}\par
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\bigskip
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\hrefanchor
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\outdef{citewilSeZ}{Wil70}
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\hbox{\parbox[t]{\rw}{[\cite{wilSeZ}]}\parbox[t]{\colw}{K.~Wilson - {\it Model of coupling-constant renormalization}, Physical Review D, Vol.~2, n.~8, p.~1438-1472, 1970.}}\par
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\bigskip
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@ -12,11 +12,7 @@
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%% cite a reference
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\def\cite#1{%
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%% check whether the reference exists
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\ifcsname cite#1\endcsname%
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\csname cite#1\endcsname%
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\else%
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{\bf??}%
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\fi%
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\ref{cite#1}%
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%
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%% add entry to citelist after checking it has not already been added
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\ifcsname if#1cited\endcsname%
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109
iansecs.sty
109
iansecs.sty
@ -34,24 +34,40 @@
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%% style for the equation number
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\def\eqnumstyle{}
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%% hyperlinks
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% hyperlinkcounter
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\newcounter{lncount}
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% hyperref anchor
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\def\hrefanchor{%
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\stepcounter{lncount}%
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\hypertarget{ln.\thelncount}{}%
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}
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%% define a command and write it to aux file
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\def\outdef#1#2{%
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% define command
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\expandafter\xdef\csname #1\endcsname{\noexpand\hyperlink{page.\the\count0}{#2}}%
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\expandafter\xdef\csname #1\endcsname{#2}%
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% hyperlink number
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\expandafter\xdef\csname #1@hl\endcsname{\thelncount}%
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% write command to aux
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\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1\endcsname{\noexpand\hyperlink{page.\thepage}{#2}}}%
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% define ref with no link
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\expandafter\xdef\csname #1@nol\endcsname{#2}%
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% write command to aux
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\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1@nol\endcsname{#2}}%
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\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1\endcsname{\csname #1\endcsname}}%
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\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1@hl\endcsname{\thelncount}}%
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}
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%% define a label for the latest tag
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%% label defines a command containing the string stored in \tag
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\AtBeginDocument{
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\def\label#1{\expandafter\outdef{#1}{\safe\tag}}
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\def\ref#1{\expandafter\safe\csname #1\endcsname}
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\def\ref#1{%
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% check whether the label is defined (hyperlink runs into errors if this check is ommitted)
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\ifcsname #1@hl\endcsname%
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\hyperlink{ln.\csname #1@hl\endcsname}{\safe\csname #1\endcsname}%
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\else%
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\safe\csname #1\endcsname%
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\fi%
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}
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}
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%% counters
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@ -71,7 +87,7 @@
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\newlength\sectitlewidth
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\def\section#1{%
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% reset counters
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\refstepcounter{sectioncount}%
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\stepcounter{sectioncount}%
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\setcounter{subsectioncount}{0}%
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\setcounter{pointcount}{0}%
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\setcounter{subpointcount}{0}%
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@ -82,7 +98,12 @@
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% space before section (if not first)
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\ifnum\thesectioncount>1%
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\seqskip%
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\penalty-1000%
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\fi%
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% hyperref anchor
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\hrefanchor%
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% define tag (for \label)
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\xdef\tag{\sectionprefix\thesectioncount}%
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% get widths
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\def\@secnum{{\bf\Large\sectionprefix\thesectioncount.\hskip10pt}}%
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\settowidth\secnumwidth{\@secnum}%
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@ -91,21 +112,21 @@
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% print name
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\parbox{\textwidth}{%
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\@secnum%
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\parbox[t]{\sectitlewidth}{\Large\bf #1}%
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\par\penalty10000%
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\bigskip}\par\penalty10000%
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% define tag (for \label)
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\xdef\tag{\sectionprefix\thesectioncount}%
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\parbox[t]{\sectitlewidth}{\Large\bf #1}}%
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% write to table of contents
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\iftoc%
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% save lncount in aux variable which is written to toc
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\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@sec.\thesectioncount\endcsname{\thelncount}}%
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\write\tocoutput{\noexpand\tocsection{#1}{\thepage}}%
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\fi%
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\par\penalty10000%
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\bigskip\penalty10000%
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}
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%% subsection
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\def\subsection#1{
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% counters
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\refstepcounter{subsectioncount}%
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\stepcounter{subsectioncount}%
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\setcounter{pointcount}{0}%
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\setcounter{subpointcount}{0}%
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\setcounter{subsubpointcount}{0}%
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@ -115,7 +136,12 @@
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% space before subsection (if not first)
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\ifnum\thesubsectioncount>1%
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\subseqskip%
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\penalty-500%
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\fi%
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% hyperref anchor
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\hrefanchor
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% define tag (for \label)
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\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount}%
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% get widths
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\def\@secnum{{\bf\large\hskip.5cm\sectionprefix\thesectioncount.\thesubsectioncount.\hskip5pt}}%
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\settowidth\secnumwidth{\@secnum}%
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@ -124,34 +150,40 @@
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% print name
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\parbox{\textwidth}{%
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\@secnum%
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\parbox[t]{\sectitlewidth}{\large\bf #1}%
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\par\penalty10000%
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\medskip}\par\penalty10000%
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% define tag (for \label)
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\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount}%
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\parbox[t]{\sectitlewidth}{\large\bf #1}}%
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% write to table of contents
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\iftoc%
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\write\tocoutput{\noexpand\tocsubsection{#1}{\the\count0}}%
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% save lncount in aux variable which is written to toc
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\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@subsec.\thesectioncount.\thesubsectioncount\endcsname{\thelncount}}%
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\write\tocoutput{\noexpand\tocsubsection{#1}{\thepage}}%
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\fi%
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\par\penalty10000%
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\medskip\penalty10000%
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}
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%% points
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\def\point{
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\refstepcounter{pointcount}
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\stepcounter{pointcount}
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\setcounter{subpointcount}{0}
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% hyperref anchor
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\hrefanchor
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\indent{\bf \thepointcount\ - }
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% define tag (for \label)
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\xdef\tag{\thepointcount}
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}
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\def\subpoint{
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\refstepcounter{subpointcount}
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\stepcounter{subpointcount}
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\setcounter{subsubpointcount}0
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% hyperref anchor
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\hrefanchor
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\indent\hskip.5cm{\bf \thepointcount-\thesubpointcount\ - }
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% define tag (for \label)
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\xdef\tag{\thepointcount-\thesubpointcount}
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}
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\def\subsubpoint{
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\refstepcounter{subsubpointcount}
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\stepcounter{subsubpointcount}
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% hyperref anchor
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\hrefanchor
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\indent\hskip1cm{\bf \thepointcount-\thesubpointcount-\thesubsubpointcount\ - }
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% define tag (for \label)
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\xdef\tag{\thepointcount-\thesubpointcount-\thesubsubpointcount}
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@ -165,7 +197,7 @@
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%% equation numbering
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\def\seqcount{
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\refstepcounter{seqcount}
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\stepcounter{seqcount}
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% the output
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\edef\seqformat{\theseqcount}
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% add subsection number
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@ -184,7 +216,7 @@
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\marginnote{\eqnumstyle\hfill(\seqformat)}
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}
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%% equation environment compatibility
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\def\equation{$$\seqcount}
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\def\equation{\hrefanchor$$\seqcount}
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\def\endequation{$$\@ignoretrue}
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%% figures
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@ -193,7 +225,9 @@
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\addtolength\figwidth{-2.5cm}
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\def\figcount#1{%
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\refstepcounter{figcount}%
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\stepcounter{figcount}%
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% hyperref anchor
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\hrefanchor%
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% the number of the figure
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\edef\figformat{\thefigcount}%
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% add section number
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@ -210,10 +244,10 @@
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%% environment
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\def\figure{
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\vfill\hbox{}
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\par\penalty-500
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}
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\def\endfigure{
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\vfill\hbox{}
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\par\penalty-1000
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}
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\let\caption\figcount
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@ -224,9 +258,11 @@
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%% theorem headers
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\def\theo#1{
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\refstepcounter{Theocount}
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\stepcounter{Theocount}
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% reset points
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\ifresetpointattheo\resetpointcounter\fi
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% hyperref anchor
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\hrefanchor
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% the number
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\def\formattheo{\theTheocount}
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% add section number
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@ -253,7 +289,7 @@
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{\bf \LARGE Appendices}\par\penalty10000\bigskip\penalty10000%
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% add a mention in the table of contents
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\iftoc%
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\write\tocoutput{\noexpand\tocappendices}\penalty10000%
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\immediate\write\tocoutput{\noexpand\tocappendices}\penalty10000%
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\fi%
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%% uncomment for new page for each appendix
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%\def\seqskip{\vfill\pagebreak}
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@ -261,11 +297,14 @@
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%% start references
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\def\references{%
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\hrefanchor%
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% write
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{\bf \LARGE References}\par\penalty10000\bigskip\penalty10000%
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% add a mention in the table of contents
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\iftoc%
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\write\tocoutput{\noexpand\tocreferences{\the\count0}}\penalty10000%
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% save lncount in aux variable which is written to toc
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\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@references\endcsname{\thelncount}}%
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\write\tocoutput{\noexpand\tocreferences{\thepage}}\penalty10000%
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\fi%
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}
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@ -301,12 +340,12 @@
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\stepcounter{tocsectioncount}
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\setcounter{tocsubsectioncount}{0}
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% write
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\smallskip\hyperlink{page.#2}{{\bf \tocsectionprefix\thetocsectioncount}.\hskip5pt #1\leaderfill#2}\par
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\smallskip\hyperlink{ln.\csname toc@sec.\thetocsectioncount\endcsname}{{\bf \tocsectionprefix\thetocsectioncount}.\hskip5pt #1\leaderfill#2}\par
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}
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\def\tocsubsection #1#2{
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\def\tocsubsection #1#2#3{
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\stepcounter{tocsubsectioncount}
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% write
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{\hskip10pt\hyperlink{page.#2}{{\bf \thetocsubsectioncount}.\hskip5pt {\small #1}\leaderfill#2}}\par
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{\hskip10pt\hyperlink{ln.\csname toc@subsec.\thetocsectioncount.\thetocsubsectioncount\endcsname}{{\bf \thetocsubsectioncount}.\hskip5pt {\small #1}\leaderfill#3}}\par
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}
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\def\tocappendices{
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\medskip
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@ -317,6 +356,6 @@
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}
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\def\tocreferences#1{
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\medskip
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{\hyperlink{page.#1}{{\bf References}\leaderfill#1}}\par
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{\hyperlink{ln.\csname toc@references\endcsname}{{\bf References}\leaderfill#1}}\par
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\smallskip
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}
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20
kiss.cls
20
kiss.cls
@ -20,3 +20,23 @@
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%% something is wrong with \thepage, redefine it
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\gdef\thepage{\the\c@page}
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%% default offsets: 1in, correct with \hoffset and \voffset
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\hoffset=-50pt
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\voffset=-72pt
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%% horizontal margins
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%\oddsidemargin=31pt
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%\evensidemargin=31pt
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%% vertical margin
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%\topmargin=20pt
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%% body size
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\textwidth=460pt
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\textheight=704pt
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%% header size and margin
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%\headheight=12pt
|
||||
%\headsep=25pt
|
||||
%% footer size
|
||||
%\footskip=30pt
|
||||
%% margin size and margin
|
||||
\marginparwidth=35pt
|
||||
%\marginparsep=10pt
|
||||
|
||||
@ -12,10 +12,9 @@
|
||||
}
|
||||
|
||||
|
||||
%% add infinitely extendable glue before large blocks (e.g. figures)
|
||||
%% penalty before large blocks
|
||||
\def\preblock{
|
||||
\vfil
|
||||
\hbox{}
|
||||
\penalty-500
|
||||
}
|
||||
|
||||
%% listparpenalty prevents page breaks before lists
|
||||
|
||||
Loading…
Reference in New Issue
Block a user