diff options
author | Karl Berry <karl@freefriends.org> | 2006-07-05 21:25:10 +0000 |
---|---|---|
committer | Karl Berry <karl@freefriends.org> | 2006-07-05 21:25:10 +0000 |
commit | 45a44ceea935e148d12f3c3044f559d962f721c2 (patch) | |
tree | 99d8e5f9cbfd6dde8075ff80c5409bdfa8b05785 /Master/texmf-dist/doc | |
parent | 1804bb9b7f24aecbc002d1ff3facbb800efad406 (diff) |
t-angles update (author says GPL)
git-svn-id: svn://tug.org/texlive/trunk@1772 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc')
-rw-r--r-- | Master/texmf-dist/doc/latex/t-angles/README | 18 | ||||
-rw-r--r-- | Master/texmf-dist/doc/latex/t-angles/readme | 16 | ||||
-rw-r--r-- | Master/texmf-dist/doc/latex/t-angles/t-manual.dvi | bin | 38952 -> 0 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/latex/t-angles/t-manual.pdf | bin | 0 -> 127011 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/latex/t-angles/t-manual.tex | 527 |
5 files changed, 79 insertions, 482 deletions
diff --git a/Master/texmf-dist/doc/latex/t-angles/README b/Master/texmf-dist/doc/latex/t-angles/README new file mode 100644 index 00000000000..a49eaaad762 --- /dev/null +++ b/Master/texmf-dist/doc/latex/t-angles/README @@ -0,0 +1,18 @@ + t-angles.sty
+is a LaTeX style for drawing tangles, trees,
+Hopf algebra operations and other pictures.
+
+It is based on emTeX, TPIC or pdfLaTeX \special's.
+Therefore, it can be used with the most popular drivers:
+ emTeX drivers, dviwin, xdvi, dvips, yap, dvipdfm, kdvi
+and (new feature!) with pdfLaTeX.
+
+The manual t-manual.tex describes the style file
+t-angles.sty of 22.04.2006.
+t-manual.pdf is produced with pdfLaTeX.
+
+You can contact the authors:
+ Yu. Bespalov, V. Lyubashenko
+via e-mail:
+bespalov@imath.kiev.ua
+lub@imath.kiev.ua
diff --git a/Master/texmf-dist/doc/latex/t-angles/readme b/Master/texmf-dist/doc/latex/t-angles/readme deleted file mode 100644 index 4a646e75498..00000000000 --- a/Master/texmf-dist/doc/latex/t-angles/readme +++ /dev/null @@ -1,16 +0,0 @@ - t-angles.sty -is a LaTeX2e style for drawing tangles, trees, -Hopf algebra operations and other pictures. - -It is based on emTeX or TPIC \special's. -Therefore, it can be used with the most popular drivers: - emTeX drivers, dviwin, yap, xdvi and dvips. - -The manual t-manual.tex contains the style file (10.09.2000) -t-angles.sty as well, so you may download only the manual. - -You can contact the authors: - Yu. Bespalov, V. Lyubashenko -via e-mail: -lub@imath.kiev.ua - diff --git a/Master/texmf-dist/doc/latex/t-angles/t-manual.dvi b/Master/texmf-dist/doc/latex/t-angles/t-manual.dvi Binary files differdeleted file mode 100644 index 457d8706afc..00000000000 --- a/Master/texmf-dist/doc/latex/t-angles/t-manual.dvi +++ /dev/null diff --git a/Master/texmf-dist/doc/latex/t-angles/t-manual.pdf b/Master/texmf-dist/doc/latex/t-angles/t-manual.pdf Binary files differnew file mode 100644 index 00000000000..9d3a70f592e --- /dev/null +++ b/Master/texmf-dist/doc/latex/t-angles/t-manual.pdf diff --git a/Master/texmf-dist/doc/latex/t-angles/t-manual.tex b/Master/texmf-dist/doc/latex/t-angles/t-manual.tex index 35e08fe1743..2733ae25151 100644 --- a/Master/texmf-dist/doc/latex/t-angles/t-manual.tex +++ b/Master/texmf-dist/doc/latex/t-angles/t-manual.tex @@ -1,460 +1,16 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % - % This is file t-manual.tex ( version 10.09.00 ) % + % This is file t-manual.tex ( version 22.04.2006 ) % % % - % Diagrammatic macros for tangles and braided Hopf algebras % + % Diagram macros for tangles and braided Hopf algebras % % % % (Yu. Bespalov, V. Lyubashenko) % % % - % available from http://www.math.ksu.edu/~lub/ % + % available from CTAN and http://www.math.ksu.edu/~lub/ % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{filecontents*}{t-angles.sty} -% a manual is available from http://www.math.ksu.edu/~lub/ -% \usepackage[emtex]{t-angles} % for emtex drivers, dviwin and dvips or -% \usepackage{t-angles} = \usepackage[TPIC]{t-angles} -% % for TPIC drivers such as dviwin, xdvi, dvips -% \usepackage[kluwer]{t-angles} or \usepackage[emtex,kluwer]{t-angles} -% % to use with kluwer.cls - - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - % % - % This is file t-angles.sty ( version 10.09.00 ) % - % % - % Diagrammatic macros for tangles and braided Hopf algebras % - % % - % (Yu. Bespalov, V. Lyubashenko) % - % % - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\newcount{\hstretch} \hstretch 100 -\newcount{\vstretch} \vstretch 100 -\newlength{\unitlens} \unitlens 10pt -\def\FillCircDiam{3} - -\DeclareOption{emtex}{% -\gdef\thinlines{\let\@linefnt\tenln \let\@circlefnt\tencirc - \@wholewidth\fontdimen8\tenln \@halfwidth .5\@wholewidth - \special{em:linewidth \the\@wholewidth}} %\@wholewidth=0.4pt -\gdef\thicklines{\let\@linefnt\tenlnw \let\@circlefnt\tencircw - \@wholewidth\fontdimen8\tenlnw \@halfwidth .5\@wholewidth - \special{em:linewidth \the\@wholewidth}} %\@wholewidth=0.8pt -\def\emline#1#2#3#4#5#6{% - \put(#1,#2){\special{em:moveto}}% - \put(#4,#5){\special{em:lineto}}}% -\def\drawpath#1#2#3#4{\emline{#1}{#2}1{#3}{#4}2} % graphics for *.lp -} -% -\newcount\@gphlinewidth -% -\DeclareOption{TPIC}{% -\@gphlinewidth\@wholewidth \divide\@gphlinewidth 4736 - \advance\@gphlinewidth\@ne %\@gphlinewidth=6 -\gdef\thinlines{\let\@linefnt\tenln \let\@circlefnt\tencirc - \@wholewidth\fontdimen8\tenln \@halfwidth .5\@wholewidth - \@gphlinewidth\@wholewidth \divide\@gphlinewidth 4736 - \advance\@gphlinewidth\@ne} %\@gphlinewidth=6 -\gdef\thicklines{\let\@linefnt\tenlnw \let\@circlefnt\tencircw - \@wholewidth\fontdimen8\tenlnw \@halfwidth .5\@wholewidth - \@gphlinewidth\@wholewidth \divide\@gphlinewidth 4736} - %\@gphlinewidth=11 -\def\@paspecial#1#2{% - \special{pa #1 #2}} -\def\path(#1,#2){% - \special{pn \the\@gphlinewidth}% - \@path(#1,#2)} -\def\@path(#1,#2){% - \@tempdima #1\unitlength - \@tempdimb #2\unitlength - \@tempcnta \@tempdima \advance\@tempcnta 2368 \divide\@tempcnta 4736 - \@tempcntb -\@tempdimb \advance\@tempcntb -2368 \divide\@tempcntb 4736 - \@paspecial{\the\@tempcnta}{\the\@tempcntb}% - \@ifnextchar ({\@path}{\special{fp}}} -\providecommand{\drawpath}[4]{\path(#1,#2)(#3,#4)} % TPIC graphics for *.lp -\providecommand{\emline}[6]{\path(#1,#2)(#4,#5)} % TPIC graphics for *.pic -} -\DeclareOption{kluwer}{% -\def\tangle{\begingroup\let\hline\savehline\t@ngle\array{l}} -\def\tanglec{\begingroup\let\hline\savehline\t@ngle\array{c}} -\def\tangler{\begingroup\let\hline\savehline\t@ngle\array{r}} -\def\tangles{\begingroup\let\hline\savehline\t@ngle\array} -} -\ExecuteOptions{TPIC} - -\newcount{\h@r} -\newcount{\v@r} -\newcount{\h@z} -\newcount{\v@t} -\newlength{\unith} -\newlength{\unitv} -\newlength{\textwd} -% -\let\kilglu\@killglue -% -\def\@step[#1]{\unith\unitlens -\divide\unith 1000 \multiply\unith 10 \multiply\unith\hstretch -\@killglue\kern #1\unith} -\def\step{\@ifnextchar[{\@step}{\@step[1]}} -\def\hhstep{\step[-.5]} \def\hstep{\step[.5]} \def\Step{\step[2]} -% -\def\object#1{\settowidth{\textwd}{${#1}$} -\hbox{\put(0,0){\kern -.5\textwd${#1}$}\hss}} -% -\def\t@ngl@{% -\gdef\hm@dehalf{1}\gdef\hm@de{2}\gdef\hm@defives{10}\gdef\hm@detens{20} -\gdef\hm@dethree{7}\gdef\hm@deseven{13}\gdef\hm@defiveteen{15}} -% -\def\t@ngle{\t@ngl@ -\gdef\above@bjectskip{0pt}\gdef\below@bjectskip{4pt} -% -\def\object##1{{\settowidth{\textwd}{${##1}$} -\@killglue\setbox0=\hbox{\kern -.5\textwd${##1}$}% -\unith\ht0\unitv\dp0% -\advance\unith\above@bjectskip\advance\unitv\below@bjectskip% -\ht0=\unith\dp0=\unitv\wd0=0pt\box0}} -% -\unitlength\unitlens\divide\unitlength 1000 -\unith\unitlength \multiply\unith10 \multiply\unith\hstretch -\unitv\unitlength \multiply\unitv10 \multiply\unitv\vstretch -\def\@step[##1]{\@killglue\kern ##1\unith} -% -\def\hbx(##1,##2)##3{% -\@killglue\setbox0=\hbox{##3}\ht0=##2\unitv\dp0=0pt\wd0=##1\unith\box0} -\def\hln##1{\hbx(##1,0){\hbox to ##1\unith{\hrulefill}}} -% -\def\hstr##1{\unith\unitlength \multiply\unith10 -\hstretch ##1 \multiply\unith\hstretch} -\def\vstr##1{\unitv\unitlength \multiply\unitv10 -\vstretch ##1 \multiply\unitv\vstretch} -% -\def\c@@rds(##1,##2,##3,##4){% -\h@r\hstretch\v@r\vstretch\h@z\hstretch\v@t\vstretch% -\multiply\h@r ##1 \multiply\v@r ##2 \multiply\h@z ##3 \multiply\v@t ##4% -\put(\h@r,\v@r)} -\def\EMl@ne(##1,##2,##3,##4){% -\h@r\hstretch\v@r\vstretch\h@z\hstretch\v@t\vstretch% -\multiply\h@r ##1 \multiply\v@r ##2 \multiply\h@z ##3 \multiply\v@t ##4% -\emline{\h@r}{\v@r}1{\h@z}{\v@t}2} -% -% N O D E S A N D L I N E S -\def\id{\hbx(0,\hm@de){\c@@rds(0,0,0,\hm@detens){\line(0,1){\v@t}}}} -\def\idash{\hbx(0,2){\c@@rds(0,0,0,3){\line(0,1){\v@t}}% -\c@@rds(0,5,0,2){\line(0,1){\v@t}}\c@@rds(0,9,0,2){\line(0,1){\v@t}}% -\c@@rds(0,13,0,2){\line(0,1){\v@t}}\c@@rds(0,17,0,3){\line(0,1){\v@t}}}} -\def\node{\hbx(0,0){\c@@rds(0,0,\FillCircDiam,0){\circle*{\h@z}}}} -\def\n{\hbx(0,\hm@de){\c@@rds(0,0,0,\hm@detens){\line(0,1){\v@t}}% -\c@@rds(0,0,\FillCircDiam,0){\circle*{\h@z}}}} -\def\s{\hbx(0,\hm@de){\c@@rds(0,0,0,\hm@detens){\line(0,1){\v@t}}% -\c@@rds(0,\hm@detens,\FillCircDiam,0){\circle*{\h@z}}}} -\def\unit{\hbx(0,\hm@de){\c@@rds(0,0,0,10){\line(0,1){\v@t}}% -\c@@rds(0,12,4,0){\circle{\h@z}}}} -\def\counit{\hbx(0,\hm@de){\c@@rds(0,10,0,10){\line(0,1){\v@t}}% -\c@@rds(0,8,4,0){\circle{\h@z}}}} -% -%%%% ARGUMENT OF \ne,\nw,\se,\sw,\ned,\nwd,\sed,\swd IS 0,1,2,3 OR 4; -%%%% 0 PRODUCES EMPTY BOX AND -%%%% OTHER PRODUCE LINES WITH HORIZONTAL PROJECTIONS =##1 -\def\@nsew##1##2##3##4##5{\hbx(1,\hm@de){\ifcase##1 -\or\EMl@ne(##2)\or\EMl@ne(##3)\or\EMl@ne(##4)\or\EMl@ne(##5)\fi}} -\def\ne##1{\@nsew{##1}{0,0,10,\hm@detens}{-10,0,10,\hm@detens}% -{-20,0,10,\hm@detens}{-30,0,10,\hm@detens}} -\def\nw##1{\@nsew{##1}{0,\hm@detens,10,0}{0,\hm@detens,20,0}% -{0,\hm@detens,30,0}{0,\hm@detens,40,0}} -\def\se##1{\@nsew{##1}{10,0,0,\hm@detens}{10,0,-10,\hm@detens}% -{10,0,-20,\hm@detens}{10,0,-30,\hm@detens}} -\def\sw##1{\@nsew{##1}{0,0,10,\hm@detens}{0,0,20,\hm@detens}% -{0,0,30,\hm@detens}{0,0,40,\hm@detens}} -% -\def\nd{\hbx(0,2){\c@@rds(0,0,0,3){\line(0,1){\v@t}}% -\c@@rds(0,5,0,2){\line(0,1){\v@t}}\c@@rds(0,9,0,2){\line(0,1){\v@t}}% -\c@@rds(0,13,0,2){\line(0,1){\v@t}}\c@@rds(0,17,0,3){\line(0,1){\v@t}}% -\c@@rds(0,0,\FillCircDiam,0){\circle*{\h@z}}}} -\def\ned##1{\hbx(1,2){\ifcase##1\or% -\EMl@ne(0,0,1,2)\EMl@ne(2,4,4,8)\EMl@ne(5,10,7,14)\EMl@ne(8,16,10,20)\or% -\EMl@ne(-10,0,-7,3)\EMl@ne(-5,5,-3,7)\EMl@ne(-1,9,1,11)% -\EMl@ne(3,13,5,15)\EMl@ne(7,17,10,20)\or% -\EMl@ne(-20,0,-14,4)\EMl@ne(-11,6,-8,8)\EMl@ne(-5,10,-2,12) -\EMl@ne(1,14,4,16)\EMl@ne(7,18,10,20)\or% -\EMl@ne(-30,0,-26,2)\EMl@ne(-24,3,-20,5)\EMl@ne(-18,6,-14,8)% -\EMl@ne(-12,9,-8,11)\EMl@ne(-6,12,-2,14)\EMl@ne(0,15,4,17)% -\EMl@ne(6,18,10,20)\fi}} -\def\nwd##1{\hbx(1,2){\ifcase##1\or% -\EMl@ne(0,20,2,16)\EMl@ne(3,14,5,10)\EMl@ne(6,8,8,4)\EMl@ne(9,2,10,0)\or% -\EMl@ne(0,20,3,17)\EMl@ne(5,15,7,13)\EMl@ne(9,11,11,9)% -\EMl@ne(13,7,15,5)\EMl@ne(17,3,20,0)\or% -\EMl@ne(0,20,3,18)\EMl@ne(6,16,9,14)\EMl@ne(12,12,15,10)% -\EMl@ne(18,8,21,6)\EMl@ne(24,4,30,0)\or% -\EMl@ne(0,20,4,18)\EMl@ne(6,17,10,15)\EMl@ne(12,14,16,12)\EMl@ne(18,11,22,9)% -\EMl@ne(24,8,28,6)\EMl@ne(30,5,34,3)\EMl@ne(36,2,40,0)\fi}} -\def\sd{\hbx(0,2){\c@@rds(0,0,0,3){\line(0,1){\v@t}}% -\c@@rds(0,5,0,2){\line(0,1){\v@t}}\c@@rds(0,9,0,2){\line(0,1){\v@t}}% -\c@@rds(0,13,0,2){\line(0,1){\v@t}}\c@@rds(0,17,0,3){\line(0,1){\v@t}}% -\c@@rds(0,20,\FillCircDiam,0){\circle*{\h@z}}}} -\def\sed##1{\hbx(1,2){\ifcase##1\or% -\EMl@ne(10,0,8,4)\EMl@ne(7,6,5,10)\EMl@ne(4,12,2,16)\EMl@ne(1,18,0,20)\or% -\EMl@ne(10,0,7,3)\EMl@ne(5,5,3,7)\EMl@ne(1,9,-1,11)% -\EMl@ne(-3,13,-5,15)\EMl@ne(-7,17,-10,20)\or% -\EMl@ne(10,0,7,2)\EMl@ne(4,4,1,6)\EMl@ne(-2,8,-5,10)% -\EMl@ne(-8,12,-11,14)\EMl@ne(-14,16,-20,20)\or% -\EMl@ne(10,0,6,2)\EMl@ne(4,3,0,5)\EMl@ne(-2,6,-6,8)\EMl@ne(-8,9,-12,11)% -\EMl@ne(-14,12,-18,14)\EMl@ne(-20,15,-24,17)\EMl@ne(-26,18,-30,20)\fi}} -\def\swd##1{\hbx(1,2){\ifcase##1\or% -\EMl@ne(0,0,2,4)\EMl@ne(3,6,5,10)\EMl@ne(6,12,8,16)\EMl@ne(9,18,10,20)\or% -\EMl@ne(0,0,3,3)\EMl@ne(5,5,7,7)\EMl@ne(9,9,11,11)% -\EMl@ne(13,13,15,15)\EMl@ne(17,17,20,20)\or% -\EMl@ne(0,0,3,2)\EMl@ne(6,4,9,6)\EMl@ne(12,8,15,10)% -\EMl@ne(18,12,21,14)\EMl@ne(24,16,30,20)\or% -\EMl@ne(0,0,4,2)\EMl@ne(6,3,10,5)\EMl@ne(12,6,16,8)\EMl@ne(18,9,22,11)% -\EMl@ne(24,12,28,14)\EMl@ne(30,15,34,17)\EMl@ne(36,18,40,20)\fi}} -% -% D A S H E D C R O S S E S -\def\xd{\hbx(2,2){\EMl@ne(0,0,4,4)\EMl@ne(6,6,8,8)\EMl@ne(12,12,14,14)% -\EMl@ne(16,16,20,20)\EMl@ne(0,20,4,16)\EMl@ne(6,14,14,6)\EMl@ne(16,4,20,0)}} -\def\xxd{\hbx(2,2){\EMl@ne(0,0,4,4)\EMl@ne(6,6,14,14)\EMl@ne(16,16,20,20)% -\EMl@ne(0,20,4,16)\EMl@ne(6,14,8,12)\EMl@ne(12,8,14,6)\EMl@ne(16,4,20,0)}} -\def\hxd{\hbx(1,2){\EMl@ne(0,0,2,4)\EMl@ne(3,6,4,8)\EMl@ne(6,12,7,14)% -\EMl@ne(8,16,10,20)\EMl@ne(0,20,2,16)\EMl@ne(3,14,7,6)\EMl@ne(8,4,10,0)}} -\def\hxxd{\hbx(1,2){\EMl@ne(0,0,2,4)\EMl@ne(3,6,7,14)\EMl@ne(8,16,10,20)% -\EMl@ne(0,20,2,16)\EMl@ne(3,14,4,12)\EMl@ne(6,8,7,6)\EMl@ne(8,4,10,0)}} -% -% O T H E R L I N E S -\def\@d##1##2{\hbx(\hm@dehalf,\hm@de){% -\EMl@ne(##1\hm@defives,##2\hm@detens)}} -\def\d{\@d{}{0,0,}} \def\dd{\@d{0,0,}{}} -\def\@hd##1##2##3{\hbx(.5,\hm@de){\EMl@ne(##1,\hm@defives,##2)% -\c@@rds(##1,\hm@defives,0,\hm@defives){\line(0,##31){\v@t}}}} -\def\hd{\@hd{5}{0,\hm@detens}{-}} \def\dh{\@hd{0}{5,0}{}} -\def\hdd{\@hd{0}{5,\hm@detens}{-}} \def\ddh{\@hd{5}{0,0}{}} -% -% P U T S O M E T H I N G A N Y W H E R E -\def\n@de##1##2##3{\hbx(0,0){% -\c@@rds(##1,0,0){\makebox(0,0)[##2]{$\scriptstyle ##3$}}}} -\def\nodeu##1{\hbx(0,0){\n@de{0,3}{cb}{##1}}} -\def\noded##1{\hbx(0,0){\n@de{0,-3}{ct}{##1}}} -\def\nodel##1{\hbx(0,0){\n@de{-2,0}{rc}{##1}}} -\def\noder##1{\hbx(0,0){\n@de{2,0}{lc}{##1}}} -\def\noderu##1{\hbx(0,0){\n@de{5,2}{lb}{##1}}} -\def\noderd##1{\hbx(0,0){\n@de{5,-2}{lt}{##1}}} -\def\nodelu##1{\hbx(0,0){\n@de{-5,2}{rb}{##1}}} -\def\nodeld##1{\hbx(0,0){\n@de{-5,-2}{rt}{##1}}} -\def\Put(##1,##2)[##3]##4{% -\h@r\hstretch \multiply\h@r ##1 -\v@r\vstretch \multiply\v@r ##2 -\put(\h@r,\v@r){\makebox(\h@z,\v@t)[##3]{\scriptsize$##4$}}} -% \def\negobj##1{\raise -0.2\unitv\hbox{\put(0,0){$##1$}}} -% \def\obj##1{\raise .2\unitv\hbox{\put(0,0){$##1$}}} -% \def\Obj##1{\settowidth{\textwd}{$##1$}% -% \raise 1.1\unitv\hbox{\kern -1\textwd $##1$}} -% -% B O X E S -\def\dbox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% -\c@@rds(0,0,10,\hm@detens){\dashbox{100}(\h@z,\v@t){\scriptsize$##2$}}}} -\def\ffbox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% -\c@@rds(0,0,10,\hm@detens){\framebox(\h@z,\v@t){\scriptsize$##2$}}}} -\def\obox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% -\c@@rds(5,\hm@defives,10,\hm@detens){\oval(\h@z,\v@t)}% -\c@@rds(0,0,10,\hm@detens){\makebox(\h@z,\v@t)[cc]{\scriptsize$##2$}}}} -\def\tbox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% -\c@@rds(0,0,10,\hm@detens){\makebox(\h@z,\v@t)[cc]{\scriptsize$##2$}}}} -% -% ( C O ) P A I R I N G S -\def\@ev##1##2##3##4{\hbx(##1){\c@@rds(##2,##3,##3){\oval(\h@z,\v@t)[##4]}}} -\def\ev{\@ev{\hm@de,\hm@de}{\hm@defives,\hm@detens}\hm@detens b} -\def\coev{\@ev{\hm@de,\hm@de}{\hm@defives,0}\hm@detens t} -\def\hcoev{\@ev{1,\hm@de}{5,0}{10}t} -\def\hev{\@ev{1,\hm@de}{5,\hm@detens}{10}b} -\def\Coev{\@ev{1,\hm@de}{15,0}{30}t} -\def\Ev{\@ev{1,\hm@de}{15,\hm@detens}{30}b} -\def\COEV{\@ev{2,2}{30,0}{60}t} -\def\EV{\@ev{2,2}{30,20}{60}b} -% -% ( O V E R / U N D E R ) C R O S S I N G S -\def\X{\hbx(1,\hm@de){\EMl@ne(0,\hm@detens,10,0)\EMl@ne(0,0,10,\hm@detens)}} -\def\XX{\hbx(\hm@de,\hm@de){\EMl@ne(0,\hm@detens,\hm@detens,0)% -\EMl@ne(0,0,\hm@detens,\hm@detens)}} -\def\x{\hbx(\hm@de,\hm@de){\EMl@ne(0,\hm@detens,\hm@detens,0)% -\EMl@ne(0,0,\hm@dethree,\hm@dethree)% -\EMl@ne(\hm@detens,\hm@detens,\hm@deseven,\hm@deseven)}} -\def\xx{\hbx(\hm@de,\hm@de){\EMl@ne(0,\hm@detens,\hm@dethree,\hm@deseven)% -\EMl@ne(0,0,\hm@detens,\hm@detens)% -\EMl@ne(\hm@detens,0,\hm@deseven,\hm@dethree)}} -\def\hx{\hbx(1,2){\EMl@ne(0,20,10,0)\EMl@ne(0,0,3,6)\EMl@ne(10,20,7,14)}} -\def\hxx{\hbx(1,2){\EMl@ne(0,20,3,14)\EMl@ne(0,0,10,20)\EMl@ne(10,0,7,6)}} -% -% ( C O ) P R O D U C T S -\def\pr@d##1##2##3{% -\c@@rds(##1){\oval(\h@z,\v@t)[c##2]}\c@@rds(##3){\line(0,1){\v@t}}}% -\def\pr@dd##1##2##3##4{\c@@rds(5,##1,10,10){\oval(\h@z,\v@t)[c##2]}% -\EMl@ne(5,10,##3)\c@@rds(5,##4,0,5){\line(0,1){\v@t}}} -\def\c@cyc##1{\c@@rds(##1,\FillCircDiam,0){\circle*{\h@z}}} -\def\cu{\@ifnextchar*% -{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,\hm@detens,\hm@detens,\hm@detens}% -{b}{\hm@defives,0,0,\hm@defives}% -\c@cyc{\hm@defives,\hm@defives}}\@gobble}% -{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,\hm@detens,\hm@detens,\hm@detens}% -{b}{\hm@defives,0,0,\hm@defives}}}} -\def\cd{\@ifnextchar*% -{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,0,\hm@detens,\hm@detens}% -{t}{\hm@defives,\hm@defives,0,\hm@defives}% -\c@cyc{\hm@defives,\hm@defives}}\@gobble}% -{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,0,\hm@detens,\hm@detens}% -{t}{\hm@defives,\hm@defives,0,\hm@defives}}}} -\def\hcu{\@ifnextchar*% -{\hbx(1,\hm@de){\pr@d{5,\hm@detens,10,10}{b}{5,0,0,\hm@defiveteen}% -\c@cyc{5,\hm@defiveteen}}\@gobble}% -{\hbx(1,\hm@de){\pr@d{5,\hm@detens,10,10}{b}{5,0,0,\hm@defiveteen}}}} -\def\hcd{\@ifnextchar*% -{\hbx(1,\hm@de){\pr@d{5,0,10,10}{t}{5,5,0,\hm@defiveteen}% -\c@cyc{5,5}}\@gobble}% -{\hbx(1,\hm@de){\pr@d{5,0,10,10}{t}{5,5,0,\hm@defiveteen}}}} -\def\Cu{\@ifnextchar*% -{\hbx(4,2){\pr@d{20,20,40,20}{b}{20,0,0,10}\c@cyc{20,10}}\@gobble}% -{\hbx(4,2){\pr@d{20,20,40,20}{b}{20,0,0,10}}}} -\def\Cd{\@ifnextchar*% -{\hbx(4,2){\pr@d{20,0,40,20}{t}{20,10,0,10}\c@cyc{20,10}}\@gobble}% -{\hbx(4,2){\pr@d{20,0,40,20}{t}{20,10,0,10}}}} -\def\hd@cd##1{\@ifnextchar*% -{\hbx(1,2){\pr@dd{0}{t}{##1,20}{5}\c@cyc{5,5}}\@gobble}% -{\hbx(1,2){\pr@dd{0}{t}{##1,20}{5}}}} -\def\hd@cu##1{\@ifnextchar*% -{\hbx(1,2){\pr@dd{20}{b}{##1,0}{10}\c@cyc{5,15}}\@gobble}% -{\hbx(1,2){\pr@dd{20}{b}{##1,0}{10}}}} -\def\hdcd{\hd@cd 0} \def\hddcd{\hd@cd{10}} -\def\hdcu{\hd@cu{10}} \def\hddcu{\hd@cu 0} -% -% A C T I O N S -\def\@ct##1##2##3##4##5{\hbx(##1,\hm@de){% -\c@@rds(##2,##3,##4,##4){\oval(\h@z,\v@t)[##5]}% -\c@@rds(##2,0,0,\hm@detens){\line(0,1){\v@t}}}} -\def\@lu[##1]{{\multiply\hstretch##1\@ct{##1}{10}{\hm@detens}{20}{lb}}} -\def\@ru[##1]{{\multiply\hstretch##1\@ct{##1}{0} {\hm@detens}{20}{rb}}} -\def\@ld[##1]{{\multiply\hstretch##1\@ct{##1}{10}{0}{20}{lt}}} -\def\@rd[##1]{{\multiply\hstretch##1\@ct{##1}{0}{0}{20}{rt}}} -\def\lu{\@ifnextchar[{\@lu}{\@lu[1]}} -\def\ru{\@ifnextchar[{\@ru}{\@ru[1]}} -\def\ld{\@ifnextchar[{\@ld}{\@ld[1]}} -\def\rd{\@ifnextchar[{\@rd}{\@rd[1]}} -\def\Lu{\lu[2]}\def\Ru{\ru[2]}\def\Ld{\ld[2]}\def\Rd{\rd[2]} -\def\@hlu[##1]{{\divide\unith2\multiply\hstretch##1% -\@ct{##1}{5}{\hm@detens}{10}{lb}}} -\def\@hru[##1]{{\divide\unith2\multiply\hstretch##1% -\@ct{##1}{0}{\hm@detens}{10}{rb}}} -\def\@hld[##1]{{\divide\unith2\multiply\hstretch##1% -\@ct{##1}{5}{0}{10}{lt}}} -\def\@hrd[##1]{{\divide\unith2\multiply\hstretch##1% -\@ct{##1}{0}{0}{10}{rt}}} -\def\hlu{\@ifnextchar[{\@hlu}{\@hlu[1]}} -\def\hru{\@ifnextchar[{\@hru}{\@hru[1]}} -\def\hld{\@ifnextchar[{\@hld}{\@hld[1]}} -\def\hrd{\@ifnextchar[{\@hrd}{\@hrd[1]}} -% \def\hlu{\@ct{.5}{5}{\hm@detens}{10}{lb}} -% \def\hru{\@ct{.5}{0}{\hm@detens}{10}{rb}} -% \def\hld{\@ct{.5}{5}{0}{10}{lt}} -% \def\hrd{\@ct{.5}{0}{0}{10}{rt}} -% -% C O M P O S I T I O N S -\def\c@mp##1##2##3##4##5##6{\hbx(##1,2){% -\c@@rds(##2,0,##3){\oval(\h@z,\v@t)[##4t]}% -\c@@rds(##2,20,##3){\oval(\h@z,\v@t)[##4b]}% -\c@@rds(##2,##5,0,##6){\line(0,1){\v@t}}}} -\def\cucd{\c@mp{1}{5}{10,10}{}{5}{10}} -\def\k{\c@mp{1}{0}{20,10}{r}{0}{20}} -\def\kk{\c@mp{1}{10}{20,10}{l}{0}{20}} -\def\rurd{\c@mp{.5}{0}{10,10}{r}{0}{20}} -\def\luld{\c@mp{.5}{5}{10,10}{l}{0}{20}} -% -% M O R P H I S M S I N A C I R C L E -\def\c@rcled##1##2{\c@@rds(##1,12,12){\oval(\h@z,\v@t)}% -\c@@rds(##1,0,0){\makebox(\h@z,\v@t)[cc]{\scriptsize$##2$}}} -% ( 1, 0 ) -, ( 0, 1 ) - T E N S O R S -\def\@Q##1##2{\hbx(0,\hm@de){% -\c@@rds(0,##1,0,4){\line(0,1){\v@t}}\c@rcled{0,10}{##2}}} -\def\Q##1{\@Q{0}{##1}} \def\QQ##1{\@Q{16}{##1}} -% ( 1, 1 ) - T E N S O R S -\def\O##1{\hbx(0,\hm@de){\c@@rds(0,0,0,4){\line(0,1){\v@t}}% -\c@@rds(0,16,0,4){\line(0,1){\v@t}}\c@rcled{0,10}{##1}}} -\def\S{\O{S}} \def\SS{\O{S^{-1}}} -%\def\circ##1{\hbx(2,2){\c@rcled{10,4}{##1}}} -\def\morph##1{\hbx(2,2){\c@@rds(10,10,10,10){\oval(\h@z,\v@t)}% -\c@@rds(5,5,10,10){\makebox(\h@z,\v@t)[cc]{\scriptsize$##1$}}% -\c@@rds(10,0,0,5){\line(0,1){\v@t}}% -\c@@rds(10,15,0,5){\line(0,1){\v@t}}}} -% ( 2, 0 ) -, ( 0, 2 ) - T E N S O R S -\def\r@##1##2##3##4##5{\hbx(2,\hm@de){% -\c@@rds(0,##1,0,4){\line(0,##41){\v@t}}% -\c@@rds(20,##1,0,4){\line(0,##41){\v@t}}% -\c@@rds(4,##1,8,8){\oval(\h@z,\v@t)[l##2]}% -\c@@rds(16,##1,8,8){\oval(\h@z,\v@t)[r##2]}\c@rcled{##3}{##5}}} -\def\ro##1{\r@{4}{t}{10,8}{-}{##1}} -\def\coro##1{\r@{16}{b}{10,12}{}{##1}} -% -\def\R@##1##2##3{\hbx(4,\hm@de){% -\c@@rds(14,##1,28,20){\oval(\h@z,\v@t)[l##2]}% -\c@@rds(26,##1,28,20){\oval(\h@z,\v@t)[r##2]}\c@rcled{20,10}{##3}}} -\def\Ro##1{\R@{0}{t}{##1}} -\def\coRo##1{\R@{20}{b}{##1}} -% ( 2, 1 ) -, ( 1, 2 ) - T E N S O R S -\def\t@##1##2##3##4##5##6{\hbx(2,2){% -\c@@rds(4,##1,8,8){\oval(\h@z,\v@t)[l##2]}% -\c@@rds(16,##1,8,8){\oval(\h@z,\v@t)[r##2]}% -\c@@rds(0,##1,0,5){\line(0,##31){\v@t}}% -\c@@rds(20,##1,0,5){\line(0,##31){\v@t}}% -\c@@rds(10,##4,0,5){\line(0,##31){\v@t}}% -\c@rcled{10,##5}{##6}}} -\def\tu##1{\t@{15}b{}{0}{11}{##1}} \def\td##1{\t@{5}t{-}{20}{9}{##1}} -% ( 2, 2 ) - T E N S O R S -\def\ox##1{\hbx(2,2){\c@@rds(10,10,14,14){\oval(\h@z,\v@t)}% -\c@@rds(10,10,0,0){\makebox(\h@z,\v@t)[cc]{\scriptsize$##1$}} -\EMl@ne(0,0,5,5)\EMl@ne(0,20,5,15)\EMl@ne(20,20,15,15)\EMl@ne(20,0,15,5)}} -% -% HALF HEIGHT ROW IS PRODUCED BY \hh or \HH AT THE BEGINNING OF THE ROW -% \HH is global for a row, \hh is local -\def\HH{\gdef\hm@dehalf{.5}\gdef\hm@de{1} -\gdef\hm@dethree{3}\gdef\hm@defives{5}\gdef\hm@deseven{7} -\gdef\hm@detens{10}\gdef\hm@defiveteen{5}} -\def\hh{\def\hm@dehalf{.5}\def\hm@de{1} -\def\hm@dethree{3}\def\hm@defives{5}\def\hm@deseven{7} -\def\hm@detens{10}\def\hm@defiveteen{5}} -% -\def\array{\let\@acol\@arrayacol \let\@classz\@arrayclassz -\let\@classiv\@arrayclassiv \def\arraystretch{0}\arraycolsep0pt -\def\\{\gdef\above@bjectskip{4pt}\gdef\below@bjectskip{0pt}\t@ngl@\@arraycr} -\let\@halignto\@empty\@tabarray} -} -% E N D \def\t@ngle -% -\def\tangle{\t@ngle\array{l}} \def\endtangle{\endarray\t@ngl@} -\def\tanglec{\t@ngle\array{c}} \let\endtanglec\endtangle -\def\tangler{\t@ngle\array{r}} \let\endtangler\endtangle -\def\tangles{\t@ngle\array} \let\endtangles\endtangle -% -\ProcessOptions -\endinput -\end{filecontents*} -\begin{filecontents}{t-manual.bbl} -\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace} -\begin{thebibliography}{1} - -\bibitem{Bes:cross} -Yu.~N. Bespalov, \emph{Crossed modules and quantum groups in braided - categories}, Applied Categorical Structures \textbf{5} (1997), no.~2, - 155--204, http://xxx.lanl.gov/abs/q-alg/9510013. - -\bibitem{Bes:FRT} -\bysame, \emph{On the braided {FRT}-construction}, J. Nonlinear Math. Phys. - \textbf{4} (1997), no.~1-2, 195--205, http://xxx.lanl.gov/abs/q-alg/9510012. - -\bibitem{BKLT:int} -Yu.~N. Bespalov, T.~Kerler, V.~V. Lyubashenko, and V.~G. Turaev, - \emph{Integrals for braided {H}opf algebras}, J. Pure and Appl. Algebra - \textbf{148} (2000), no.~2, 113--164, Available as - http://xxx.lanl.gov/abs/q-alg/9709020. - -\end{thebibliography} -\end{filecontents} - \documentclass[11pt]{article} \usepackage{amsmath} @@ -471,10 +27,10 @@ Yu.~N. Bespalov, T.~Kerler, V.~V. Lyubashenko, and V.~G. Turaev, \footnote{t-angles.sty is available from {\tt http://www.math.ksu.edu/$\sim$lub/} or from CTAN} \\ -\mbox{\Large\bf (Diagrammatic macros for tangles and braided Hopf algebras)} +\mbox{\Large\bf(Diagram macros for tangles and braided Hopf algebras)} } \author{Yu. Bespalov \and V. Lyubashenko} -\date{Version 10.09.00} +\date{Version 22.04.2006} \def\subsec#1{\subsection*{#1}\addcontentsline{toc}{subsection}{#1}} @@ -502,16 +58,48 @@ http://www.math.ksu.edu/$\sim$lub/} or from CTAN} \addcontentsline{toc}{subsection}{Usage} $$ \vcenter{\hbox{\command{\usepackage[emtex]\{t-angles\}}} - \hbox{(for \command{emtex} drivers, {\tt dviwin, dvips, yap} )}} + \hbox{(for \command{emtex} drivers, \tt dviwin,} + \hbox{ \tt dvips, yap )}} \qquad \hbox{or} \qquad \vcenter{\hbox{\command{\usepackage\{t-angles\}} $\equiv$} \hbox{\command{\usepackage[TPIC]\{t-angles\}}} - \hbox{(for TPIC drivers such as} - \hbox{ {\tt dviwin, xdvi, dvips, yap} )}} + \hbox{(for TPIC drivers such as \tt dviwin,} + \hbox{ {\tt xdvi, dvips, yap, dvipdfm, kdvi} )}} $$ To use with \command{kluwer.cls} add the option \command{kluwer}:\\ \command{\usepackage[emtex,kluwer]\{t-angles\}} or -\command{\usepackage[kluwer]\{t-angles\}} +\command{\usepackage[kluwer]\{t-angles\}}. + +The main option \command{TPIC} is executed by default. It can be +overwritten by the antagonistic option \command{emtex}. These two +options give slightly different *.dvi output, when they are used with +\LaTeX. The package works also with pdf\LaTeX. In this case both +options produce identical *.pdf output. Actually, the third option +\command{pdflatex} is executed in this case automatically. You should +not type \command{\usepackage[pdflatex]\{t-angles\}} in your file +unless you want to prohibit its use with \LaTeX. Another way to produce +*.pdf file is to apply \command{dvipdfm} to the *.dvi output, obtained +with the \command{TPIC} option. + +Under pdf\LaTeX{} the information about slanted lines is stored in a file +*.emp and read on the following pass. Consequently, the changes made in +a tangle diagram are not reflected immediately in the *.pdf output. You +may need several ($\simeq2$) runs of pdf\LaTeX{} to see the final +picture. + + +\subsec{Acknowledgments} + An optional parameter for (co)actions is proposed by Bernhard Drabant. +The file \command{t-angles.sty} contains parts of +\command{emlines2.sty} by Georg Horn and Eberhard Mattes and parts of +\command{eepic.sty} by Conrad Kwok. PDF implementation of em\TeX{} +specials is due to Hans Hagen. We have incorporated his con\TeX t +support macros `em\TeX{} specials to PDF conversion' from +\command{supp-emp.tex} distributed with Te\TeX. These parts of the code +are used in the three options: \command{emtex}, \command{TPIC} and +\command{pdflatex} respectively. To understand them the reader is +invited to read comments in the original works. + \subsection*{Main features:} \addcontentsline{toc}{subsection}{Main features} @@ -650,7 +238,7 @@ is described by the lines: \begin{itemize} \item The commands \command\id, \command\n, \command\s,\command\node, -\command\unit, \command\counit work in \hhmode. +\command\unit, \command\counit work also in \hhmode. $$ \Show\id \quad \Show\idash \quad @@ -664,7 +252,7 @@ $$ $$ The command \command\FillCircDiam denotes the filled circle diameter. It is set to an integer between 1 and 9 (here the measure unit is -0.1 \command\unith). Default value is 4. +0.1 \command\unith). Default value is 3. \item The command \command\hln{\tt <number>} \ produces horizontal line on \ {\tt <number>}\command\unith. @@ -961,10 +549,9 @@ at the bottom. \subsec{History and versions} -The style is produced by the first author in 1994 and used in -\cite{Bes:cross,Bes:FRT}. -It was completely modified and essentially improved by the second author -for applications in \cite{BKLT:int}. +The style was produced by the first author in 1994. It was completely +modified and essentially improved by the second author in 1997 for +real--life applications in \cite{BKLT:int}. {%beginenumerate \setlength{\leftmargini}{34mm} @@ -978,9 +565,23 @@ slightly differs. Now they fit their boxes. Dashed crossings are represented by the commands \command{\xd,}\command{\xxd,}\command{\hxd,}\command{\hxxd.} +\item[10.09.00$\to$22.04.06] +It is possible to use the package with pdf\LaTeX. + \end{enumerate} }%endenumerate +\begin{thebibliography}{1} + +\bibitem{BKLT:int} +Yu.~N. Bespalov, T.~Kerler, V.~V. Lyubashenko, and V.~G. Turaev, + \emph{Integrals for braided {H}opf algebras}, J. Pure and Appl. Algebra + \textbf{148} (2000), no.~2, 113--164, Available as + http://arXiv.org/abs/q-alg/9709020. + +\end{thebibliography} + +%\bibliography{yuri} %\subsec{Bugs} %\begin{itemize} @@ -1010,17 +611,11 @@ To add possibility to change size of circle in circled morphisms \end{itemize} -\subsec{Acknowledgments} -Optional parameter for (co)actions is proposed by Bernhard Drabant. - \command{t-angles.sty} contains parts of \command{emlines2.sty} by - Georg Horn and Eberhard Mattes and parts of \command{eepic.sty} by - Conrad Kwok. \medskip \begin{center} -\fbox{Suggestions are welcomed.} +\fbox{Suggestions are welcome.} \end{center} -\bibliography{yuri} \appendix \section{Exercises} |