File:Bird fold scan fusion 6789.pdf
Original file (1,475 × 470 pixels, file size: 48 KB, MIME type: application/pdf)
Captions
Summary
[edit]DescriptionBird fold scan fusion 6789.pdf |
English: Example instance of the fold-scan fusion law in Bird.1989, p.124 rg. |
Date | |
Source | Own work |
Author | Jochen Burghardt |
Other versions | File:Bird fold scan fusion 456789.pdf — File:Bird fold scan fusion 456789 svg.svg — File:Bird fold scan fusion 56789.pdf — File:Bird fold scan fusion 56789 svg.svg — File:Bird fold scan fusion 6789.pdf — File:Bird fold scan fusion 6789 svg.svg |
(General explanations applying to all similar images, including the LaTeX source code of the used file "bird_Preamble.tex" can be found at the description page of File:Bird foldl map fusion.pdf.)
LaTeX source code
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\documentclass[12pt]{article}
\setlength{\unitlength}{1mm}
\usepackage[pdftex]{color}
\usepackage{amssymb}
\usepackage[paperwidth=250mm,paperheight=80mm]{geometry}
\setlength{\topmargin}{-36mm}
\setlength{\textwidth}{250mm}
\setlength{\textheight}{80mm}
\setlength{\oddsidemargin}{-23mm}
\setlength{\parindent}{0cm}
\pagestyle{empty}
\include{bird_Preamble}
\begin{document}
\begin{picture}(245,75)
%\put(0,0){\makebox(0,0){$+$}}
%\put(245,75){\makebox(0,0){$+$}}
%
\put(95.000,65.000){\makebox(0.000,0.000)[b]{{$\List{6\,7,8,9}$}}}%
\put(90.000,35.000){\makebox(0.000,0.000)[br]{{$\List{1\,1\*6\,(1\*6)\*7\,((1\*6)\*7)\*8\,(((1\*6)\*7)\*8)\*9}$}}}%
\put(100.000,40.000){\makebox(0.000,0.000)[bl]{{$\A{(((\Pair{0\+1,1}\otimes\B{6})\otimes\B{7})\otimes\B{8})\otimes\B{9}}$}}}%
\put(100.000,30.000){\makebox(0.000,0.000)[bl]{{$\A{\Pair{((((0\+1)\+1\*\B{6})\+(1\*6)\*\B{7})\+((1\*6)\*7)\*\B{8})\+(((1\*6)\*7)\*8)\*\B{9},(((1\*6)\*7)\*8)\*9}}$}}}%
\put(95.000,2.000){\makebox(0.000,0.000)[b]{{$\A{((((0+\B{1})+\B{1\*6})+\B{(1\*6)\*7})+\B{((1\*6)\*7)\*8})+\B{(((1\*6)\*7)\*8)\*9}}$}}}%
%
\thicklines
%
\textcolor{cFct}{\put(90.000,62.000){\vector(-2,-1){40.000}}}%
\textcolor{cFct}{\put(69.000,52.000){\makebox(0.000,0.000)[br]{$\scanl \; (*) \; 1$}}}%
%
\textcolor{cFct}{\put(100.000,62.000){\vector(2,-1){30.000}}}%
\textcolor{cFct}{\put(121.000,52.000){\makebox(0.000,0.000)[bl]{$\foldl \; (\otimes) \; \Pair{0\+1,1}$}}}%
%
\textcolor{cFct}{\put(130.000,37.000){\makebox(0.000,0.000){$=$}}}%
%\textcolor{cFct}{\put(150.000,37.000){\makebox(0.000,0.000){$=$}}}%
%
\textcolor{cFct}{\put(130.000,27.000){\vector(-2,-1){30.000}}}%
\textcolor{cFct}{\put(121.000,22.000){\makebox(0.000,0.000)[tl]{$\fst$}}}%
%
\textcolor{cFct}{\put(50.000,32.000){\vector(2,-1){40.000}}}%
\textcolor{cFct}{\put(69.000,22.000){\makebox(0.000,0.000)[tr]{$\foldl \; (+) \; 0$}}}%
%
\textcolor{bCmt}{\put(213.000,50.000){\makebox(0.000,0.000)[bl]{\rule{31mm}{19mm}}}}%
\textcolor{cCmt}{\put(214.000,51.000){\makebox(0.000,0.000)[bl]{%
\shortstack[r]{where $\Pair{u,v} \otimes x$\\is defined as\\{\bf let} $w=v*x$\\{\bf in} $\Pair{u+w,w}$}}}}%
\end{picture}
\end{document}
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Licensing
[edit]- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 19:28, 29 September 2019 | 1,475 × 470 (48 KB) | Jochen Burghardt (talk | contribs) | User created page with UploadWizard |
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File usage on Commons
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Metadata
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Software used | TeX |
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Conversion program | pdfTeX-1.40.18 |
Encrypted | no |
Page size | 708.661 x 226.772 pts |
Version of PDF format | 1.5 |