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How to Create an Image for Cantor's *Diagonal Argument* with a Diagonal Oval

Error messages with diagonal arrowsLabeling diagonal arrows with the diagrams packageHow to create diagonal matrix with an aligned diagonal?How to typeset readable diagonal matrices with large entries?How to create a blanks diagram for counting problems?runaway argument with fractionDefault argument for newcommandHow to closed lines? ovalDiagonal table with numbersUsing printeranswers environment, how to print solutions in the box without the title “Solutions”

.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ margin-bottom:0;
}

2

1

I would like to produce an illustration for Cantor's diagonal argument, something like a centered enumeration of $4$ or $5$ decimal expansions $x_{i} = .d_{i1}d_{i2}d_{i3} ldots$, and then insert a diagonal oval circumscribing $d_{11}, d_{22}, d_{33}, ldots$.

What is a good way to do this?

I have come up with the following, but I'm not sure it will allow me to insert the diagonal oval? (which I don't know how to do.)

Any constructive comments are appreciated.

I don't know if the latex documentation will format properly as this is my first question post on this site.

Thank you.

documentclass{book} usepackage{amsthm,latexsym,amssymb,amsmath,verbatim}



pagestyle{empty}



begin{document}



[ x_{1} = .d_{11}d_{12}d_{13}d_{14}d_{15} ldots ] [ x_{2} = .d_{21}d_{22}d_{23}d_{24}d_{25} ldots ] [ x_{3} = .d_{31}d_{32}d_{33}d_{34}d_{35} ldots ] [ x_{4} = .d_{41}d_{42}d_{43}d_{44}d_{45} ldots ] [ x_{5} = .d_{51}d_{52}d_{53}d_{54}d_{55} ldots ] [ hskip -100pt vdots ]



end{document}

math-mode lists diagrams

share|improve this question

edited 9 hours ago

Torbjørn T.

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asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  MathJax isn't enabled on this site, so math expressions aren't rendered as math. To highlight code properly, select it and hit Ctrl + K (or click the button marked {} above the input field).
  
  – Torbjørn T.
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, I did not know that. (And thank you for your edit.)
  
  – mlchristians
  9 hours ago
  
  
  

  
  
  
  

add a comment | 

2

1

I would like to produce an illustration for Cantor's diagonal argument, something like a centered enumeration of $4$ or $5$ decimal expansions $x_{i} = .d_{i1}d_{i2}d_{i3} ldots$, and then insert a diagonal oval circumscribing $d_{11}, d_{22}, d_{33}, ldots$.

What is a good way to do this?

I have come up with the following, but I'm not sure it will allow me to insert the diagonal oval? (which I don't know how to do.)

Any constructive comments are appreciated.

I don't know if the latex documentation will format properly as this is my first question post on this site.

Thank you.

documentclass{book} usepackage{amsthm,latexsym,amssymb,amsmath,verbatim}



pagestyle{empty}



begin{document}



[ x_{1} = .d_{11}d_{12}d_{13}d_{14}d_{15} ldots ] [ x_{2} = .d_{21}d_{22}d_{23}d_{24}d_{25} ldots ] [ x_{3} = .d_{31}d_{32}d_{33}d_{34}d_{35} ldots ] [ x_{4} = .d_{41}d_{42}d_{43}d_{44}d_{45} ldots ] [ x_{5} = .d_{51}d_{52}d_{53}d_{54}d_{55} ldots ] [ hskip -100pt vdots ]



end{document}

math-mode lists diagrams

share|improve this question

edited 9 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  MathJax isn't enabled on this site, so math expressions aren't rendered as math. To highlight code properly, select it and hit Ctrl + K (or click the button marked {} above the input field).
  
  – Torbjørn T.
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, I did not know that. (And thank you for your edit.)
  
  – mlchristians
  9 hours ago
  
  
  

  
  
  
  

add a comment | 

I would like to produce an illustration for Cantor's diagonal argument, something like a centered enumeration of $4$ or $5$ decimal expansions $x_{i} = .d_{i1}d_{i2}d_{i3} ldots$, and then insert a diagonal oval circumscribing $d_{11}, d_{22}, d_{33}, ldots$.

What is a good way to do this?

I have come up with the following, but I'm not sure it will allow me to insert the diagonal oval? (which I don't know how to do.)

Any constructive comments are appreciated.

I don't know if the latex documentation will format properly as this is my first question post on this site.

Thank you.

documentclass{book} usepackage{amsthm,latexsym,amssymb,amsmath,verbatim}



pagestyle{empty}



begin{document}



[ x_{1} = .d_{11}d_{12}d_{13}d_{14}d_{15} ldots ] [ x_{2} = .d_{21}d_{22}d_{23}d_{24}d_{25} ldots ] [ x_{3} = .d_{31}d_{32}d_{33}d_{34}d_{35} ldots ] [ x_{4} = .d_{41}d_{42}d_{43}d_{44}d_{45} ldots ] [ x_{5} = .d_{51}d_{52}d_{53}d_{54}d_{55} ldots ] [ hskip -100pt vdots ]



end{document}

math-mode lists diagrams

share|improve this question

edited 9 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

documentclass{book} usepackage{amsthm,latexsym,amssymb,amsmath,verbatim}



pagestyle{empty}



begin{document}



[ x_{1} = .d_{11}d_{12}d_{13}d_{14}d_{15} ldots ] [ x_{2} = .d_{21}d_{22}d_{23}d_{24}d_{25} ldots ] [ x_{3} = .d_{31}d_{32}d_{33}d_{34}d_{35} ldots ] [ x_{4} = .d_{41}d_{42}d_{43}d_{44}d_{45} ldots ] [ x_{5} = .d_{51}d_{52}d_{53}d_{54}d_{55} ldots ] [ hskip -100pt vdots ]



end{document}

share|improve this question

edited 9 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

share|improve this question

edited 9 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

edited 9 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

edited 9 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

asked 9 hours ago

mlchristiansmlchristians

11966 bronze badges

1 Answer
1

active

oldest

votes

6

I propose this code, based on alignat and pstricks:

documentclass[11pt, svgnames]{book}



usepackage{amsthm,latexsym,amssymb,amsmath, verbatim}

usepackage{makebox}

usepackage{pst-node, auto-pst-pdf}

pagestyle{empty}



begin{document}



begin{postscript}

everypsbox{scriptstyle}

begin{alignat*}{7}

 x_{1} & = . &: & d_{rnode{d1}{1}1} & & d_{12} & & d_{13} & & d_{14} & & d_{15} & ; & ldots \

 x_{2} & = . & & d_{21} & enspace & d_{rnode{d2}{2}2} & & d_{23} & & d_{24} & & d_{25} & & ldots \

 x_{3} & = . & & d_{31} & & d_{32} & enspace & d_{ rnode{d3}{3}3} & & d_{34} & & d_{35} & & ldots \

 x_{4} & = . & & d_{41} & & d_{42} & & d_{43} & enspace & d_{rnode{d4}{4}4} & & d_{45} & & ldots \

 x_{5} & = . & & d_{51} & & d_{52} & & d_{53} & & d_{54} & enspace & d_{rnode{d5}{5}5} & & ldots\[-1.33ex]

 makebox*{$x_{5}$}{$ vdots $} & & & & & & & makebox*{$d_{53}$}{$ vdots $} & & & & & enspace & Rnode{dd}{ddots}

end{alignat*}

ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]{d1}{dd}

 end{postscript}



end{document}

share|improve this answer

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is much nicer than I had hoped for! Thank you.
  
  – mlchristians
  6 hours ago
  

  
  
  
  

add a comment | 

Your Answer

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6

I propose this code, based on alignat and pstricks:

documentclass[11pt, svgnames]{book}



usepackage{amsthm,latexsym,amssymb,amsmath, verbatim}

usepackage{makebox}

usepackage{pst-node, auto-pst-pdf}

pagestyle{empty}



begin{document}



begin{postscript}

everypsbox{scriptstyle}

begin{alignat*}{7}

 x_{1} & = . &: & d_{rnode{d1}{1}1} & & d_{12} & & d_{13} & & d_{14} & & d_{15} & ; & ldots \

 x_{2} & = . & & d_{21} & enspace & d_{rnode{d2}{2}2} & & d_{23} & & d_{24} & & d_{25} & & ldots \

 x_{3} & = . & & d_{31} & & d_{32} & enspace & d_{ rnode{d3}{3}3} & & d_{34} & & d_{35} & & ldots \

 x_{4} & = . & & d_{41} & & d_{42} & & d_{43} & enspace & d_{rnode{d4}{4}4} & & d_{45} & & ldots \

 x_{5} & = . & & d_{51} & & d_{52} & & d_{53} & & d_{54} & enspace & d_{rnode{d5}{5}5} & & ldots\[-1.33ex]

 makebox*{$x_{5}$}{$ vdots $} & & & & & & & makebox*{$d_{53}$}{$ vdots $} & & & & & enspace & Rnode{dd}{ddots}

end{alignat*}

ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]{d1}{dd}

 end{postscript}



end{document}

share|improve this answer

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is much nicer than I had hoped for! Thank you.
  
  – mlchristians
  6 hours ago
  

  
  
  
  

add a comment | 

6

I propose this code, based on alignat and pstricks:

documentclass[11pt, svgnames]{book}



usepackage{amsthm,latexsym,amssymb,amsmath, verbatim}

usepackage{makebox}

usepackage{pst-node, auto-pst-pdf}

pagestyle{empty}



begin{document}



begin{postscript}

everypsbox{scriptstyle}

begin{alignat*}{7}

 x_{1} & = . &: & d_{rnode{d1}{1}1} & & d_{12} & & d_{13} & & d_{14} & & d_{15} & ; & ldots \

 x_{2} & = . & & d_{21} & enspace & d_{rnode{d2}{2}2} & & d_{23} & & d_{24} & & d_{25} & & ldots \

 x_{3} & = . & & d_{31} & & d_{32} & enspace & d_{ rnode{d3}{3}3} & & d_{34} & & d_{35} & & ldots \

 x_{4} & = . & & d_{41} & & d_{42} & & d_{43} & enspace & d_{rnode{d4}{4}4} & & d_{45} & & ldots \

 x_{5} & = . & & d_{51} & & d_{52} & & d_{53} & & d_{54} & enspace & d_{rnode{d5}{5}5} & & ldots\[-1.33ex]

 makebox*{$x_{5}$}{$ vdots $} & & & & & & & makebox*{$d_{53}$}{$ vdots $} & & & & & enspace & Rnode{dd}{ddots}

end{alignat*}

ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]{d1}{dd}

 end{postscript}



end{document}

share|improve this answer

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is much nicer than I had hoped for! Thank you.
  
  – mlchristians
  6 hours ago
  

  
  
  
  

add a comment | 

I propose this code, based on alignat and pstricks:

documentclass[11pt, svgnames]{book}



usepackage{amsthm,latexsym,amssymb,amsmath, verbatim}

usepackage{makebox}

usepackage{pst-node, auto-pst-pdf}

pagestyle{empty}



begin{document}



begin{postscript}

everypsbox{scriptstyle}

begin{alignat*}{7}

 x_{1} & = . &: & d_{rnode{d1}{1}1} & & d_{12} & & d_{13} & & d_{14} & & d_{15} & ; & ldots \

 x_{2} & = . & & d_{21} & enspace & d_{rnode{d2}{2}2} & & d_{23} & & d_{24} & & d_{25} & & ldots \

 x_{3} & = . & & d_{31} & & d_{32} & enspace & d_{ rnode{d3}{3}3} & & d_{34} & & d_{35} & & ldots \

 x_{4} & = . & & d_{41} & & d_{42} & & d_{43} & enspace & d_{rnode{d4}{4}4} & & d_{45} & & ldots \

 x_{5} & = . & & d_{51} & & d_{52} & & d_{53} & & d_{54} & enspace & d_{rnode{d5}{5}5} & & ldots\[-1.33ex]

 makebox*{$x_{5}$}{$ vdots $} & & & & & & & makebox*{$d_{53}$}{$ vdots $} & & & & & enspace & Rnode{dd}{ddots}

end{alignat*}

ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]{d1}{dd}

 end{postscript}



end{document}

share|improve this answer

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

documentclass[11pt, svgnames]{book}



usepackage{amsthm,latexsym,amssymb,amsmath, verbatim}

usepackage{makebox}

usepackage{pst-node, auto-pst-pdf}

pagestyle{empty}



begin{document}



begin{postscript}

everypsbox{scriptstyle}

begin{alignat*}{7}

 x_{1} & = . &: & d_{rnode{d1}{1}1} & & d_{12} & & d_{13} & & d_{14} & & d_{15} & ; & ldots \

 x_{2} & = . & & d_{21} & enspace & d_{rnode{d2}{2}2} & & d_{23} & & d_{24} & & d_{25} & & ldots \

 x_{3} & = . & & d_{31} & & d_{32} & enspace & d_{ rnode{d3}{3}3} & & d_{34} & & d_{35} & & ldots \

 x_{4} & = . & & d_{41} & & d_{42} & & d_{43} & enspace & d_{rnode{d4}{4}4} & & d_{45} & & ldots \

 x_{5} & = . & & d_{51} & & d_{52} & & d_{53} & & d_{54} & enspace & d_{rnode{d5}{5}5} & & ldots\[-1.33ex]

 makebox*{$x_{5}$}{$ vdots $} & & & & & & & makebox*{$d_{53}$}{$ vdots $} & & & & & enspace & Rnode{dd}{ddots}

end{alignat*}

ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]{d1}{dd}

 end{postscript}



end{document}

share|improve this answer

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

answered 8 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges