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

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.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 $x_i = .d_i1d_i2d_i3 ldots$, 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.

documentclassbook usepackageamsthm,latexsym,amssymb,amsmath,verbatim

pagestyleempty

begindocument

[ x_1 = .d_11d_12d_13d_14d_15 ldots ] [ x_2 = .d_21d_22d_23d_24d_25 ldots ] [ x_3 = .d_31d_32d_33d_34d_35 ldots ] [ x_4 = .d_41d_42d_43d_44d_45 ldots ] [ x_5 = .d_51d_52d_53d_54d_55 ldots ] [ hskip -100pt vdots ]

enddocument

math-mode lists diagrams

share|improve this question

edited 8 hours ago

Torbjørn T.

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asked 8 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.
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, I did not know that. (And thank you for your edit.)
  
  – mlchristians
  8 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 $x_i = .d_i1d_i2d_i3 ldots$, 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.

documentclassbook usepackageamsthm,latexsym,amssymb,amsmath,verbatim

pagestyleempty

begindocument

[ x_1 = .d_11d_12d_13d_14d_15 ldots ] [ x_2 = .d_21d_22d_23d_24d_25 ldots ] [ x_3 = .d_31d_32d_33d_34d_35 ldots ] [ x_4 = .d_41d_42d_43d_44d_45 ldots ] [ x_5 = .d_51d_52d_53d_54d_55 ldots ] [ hskip -100pt vdots ]

enddocument

math-mode lists diagrams

share|improve this question

edited 8 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 8 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.
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, I did not know that. (And thank you for your edit.)
  
  – mlchristians
  8 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 $x_i = .d_i1d_i2d_i3 ldots$, 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.

documentclassbook usepackageamsthm,latexsym,amssymb,amsmath,verbatim

pagestyleempty

begindocument

[ x_1 = .d_11d_12d_13d_14d_15 ldots ] [ x_2 = .d_21d_22d_23d_24d_25 ldots ] [ x_3 = .d_31d_32d_33d_34d_35 ldots ] [ x_4 = .d_41d_42d_43d_44d_45 ldots ] [ x_5 = .d_51d_52d_53d_54d_55 ldots ] [ hskip -100pt vdots ]

enddocument

math-mode lists diagrams

share|improve this question

edited 8 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 8 hours ago

mlchristiansmlchristians

11966 bronze badges

documentclassbook usepackageamsthm,latexsym,amssymb,amsmath,verbatim

pagestyleempty

begindocument

[ x_1 = .d_11d_12d_13d_14d_15 ldots ] [ x_2 = .d_21d_22d_23d_24d_25 ldots ] [ x_3 = .d_31d_32d_33d_34d_35 ldots ] [ x_4 = .d_41d_42d_43d_44d_45 ldots ] [ x_5 = .d_51d_52d_53d_54d_55 ldots ] [ hskip -100pt vdots ]

enddocument

share|improve this question

edited 8 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 8 hours ago

mlchristiansmlchristians

11966 bronze badges

share|improve this question

edited 8 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 8 hours ago

mlchristiansmlchristians

11966 bronze badges

edited 8 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

edited 8 hours ago

Torbjørn T.

163k1313 gold badges267267 silver badges453453 bronze badges

asked 8 hours ago

mlchristiansmlchristians

11966 bronze badges

asked 8 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

usepackageamsthm,latexsym,amssymb,amsmath, verbatim
usepackagemakebox
usepackagepst-node, auto-pst-pdf
pagestyleempty

begindocument

beginpostscript
everypsboxscriptstyle
beginalignat*7
 x_1 & = . &: & d_rnoded111 & & d_12 & & d_13 & & d_14 & & d_15 & ; & ldots \
 x_2 & = . & & d_21 & enspace & d_rnoded222 & & d_23 & & d_24 & & d_25 & & ldots \
 x_3 & = . & & d_31 & & d_32 & enspace & d_ rnoded333 & & d_34 & & d_35 & & ldots \
 x_4 & = . & & d_41 & & d_42 & & d_43 & enspace & d_rnoded444 & & d_45 & & ldots \
 x_5 & = . & & d_51 & & d_52 & & d_53 & & d_54 & enspace & d_rnoded555 & & ldots\[-1.33ex]
 makebox*$x_5$$ vdots $ & & & & & & & makebox*$d_53$$ vdots $ & & & & & enspace & Rnodeddddots
endalignat*
ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]d1dd
 endpostscript

enddocument

share|improve this answer

answered 7 hours ago

BernardBernard

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• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  This is much nicer than I had hoped for! Thank you.
  
  – mlchristians
  5 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

usepackageamsthm,latexsym,amssymb,amsmath, verbatim
usepackagemakebox
usepackagepst-node, auto-pst-pdf
pagestyleempty

begindocument

beginpostscript
everypsboxscriptstyle
beginalignat*7
 x_1 & = . &: & d_rnoded111 & & d_12 & & d_13 & & d_14 & & d_15 & ; & ldots \
 x_2 & = . & & d_21 & enspace & d_rnoded222 & & d_23 & & d_24 & & d_25 & & ldots \
 x_3 & = . & & d_31 & & d_32 & enspace & d_ rnoded333 & & d_34 & & d_35 & & ldots \
 x_4 & = . & & d_41 & & d_42 & & d_43 & enspace & d_rnoded444 & & d_45 & & ldots \
 x_5 & = . & & d_51 & & d_52 & & d_53 & & d_54 & enspace & d_rnoded555 & & ldots\[-1.33ex]
 makebox*$x_5$$ vdots $ & & & & & & & makebox*$d_53$$ vdots $ & & & & & enspace & Rnodeddddots
endalignat*
ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]d1dd
 endpostscript

enddocument

share|improve this answer

answered 7 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

6

I propose this code, based on alignat and pstricks:

documentclass[11pt, svgnames]book

usepackageamsthm,latexsym,amssymb,amsmath, verbatim
usepackagemakebox
usepackagepst-node, auto-pst-pdf
pagestyleempty

begindocument

beginpostscript
everypsboxscriptstyle
beginalignat*7
 x_1 & = . &: & d_rnoded111 & & d_12 & & d_13 & & d_14 & & d_15 & ; & ldots \
 x_2 & = . & & d_21 & enspace & d_rnoded222 & & d_23 & & d_24 & & d_25 & & ldots \
 x_3 & = . & & d_31 & & d_32 & enspace & d_ rnoded333 & & d_34 & & d_35 & & ldots \
 x_4 & = . & & d_41 & & d_42 & & d_43 & enspace & d_rnoded444 & & d_45 & & ldots \
 x_5 & = . & & d_51 & & d_52 & & d_53 & & d_54 & enspace & d_rnoded555 & & ldots\[-1.33ex]
 makebox*$x_5$$ vdots $ & & & & & & & makebox*$d_53$$ vdots $ & & & & & enspace & Rnodeddddots
endalignat*
ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]d1dd
 endpostscript

enddocument

share|improve this answer

answered 7 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

I propose this code, based on alignat and pstricks:

documentclass[11pt, svgnames]book

usepackageamsthm,latexsym,amssymb,amsmath, verbatim
usepackagemakebox
usepackagepst-node, auto-pst-pdf
pagestyleempty

begindocument

beginpostscript
everypsboxscriptstyle
beginalignat*7
 x_1 & = . &: & d_rnoded111 & & d_12 & & d_13 & & d_14 & & d_15 & ; & ldots \
 x_2 & = . & & d_21 & enspace & d_rnoded222 & & d_23 & & d_24 & & d_25 & & ldots \
 x_3 & = . & & d_31 & & d_32 & enspace & d_ rnoded333 & & d_34 & & d_35 & & ldots \
 x_4 & = . & & d_41 & & d_42 & & d_43 & enspace & d_rnoded444 & & d_45 & & ldots \
 x_5 & = . & & d_51 & & d_52 & & d_53 & & d_54 & enspace & d_rnoded555 & & ldots\[-1.33ex]
 makebox*$x_5$$ vdots $ & & & & & & & makebox*$d_53$$ vdots $ & & & & & enspace & Rnodeddddots
endalignat*
ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]d1dd
 endpostscript

enddocument

share|improve this answer

answered 7 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

documentclass[11pt, svgnames]book

usepackageamsthm,latexsym,amssymb,amsmath, verbatim
usepackagemakebox
usepackagepst-node, auto-pst-pdf
pagestyleempty

begindocument

beginpostscript
everypsboxscriptstyle
beginalignat*7
 x_1 & = . &: & d_rnoded111 & & d_12 & & d_13 & & d_14 & & d_15 & ; & ldots \
 x_2 & = . & & d_21 & enspace & d_rnoded222 & & d_23 & & d_24 & & d_25 & & ldots \
 x_3 & = . & & d_31 & & d_32 & enspace & d_ rnoded333 & & d_34 & & d_35 & & ldots \
 x_4 & = . & & d_41 & & d_42 & & d_43 & enspace & d_rnoded444 & & d_45 & & ldots \
 x_5 & = . & & d_51 & & d_52 & & d_53 & & d_54 & enspace & d_rnoded555 & & ldots\[-1.33ex]
 makebox*$x_5$$ vdots $ & & & & & & & makebox*$d_53$$ vdots $ & & & & & enspace & Rnodeddddots
endalignat*
ncbox[boxsize=0.22, linearc=0.22, linecolor=FireBrick, nodesep=1.5ex, fillstyle=solid, fillcolor=FireBrick!20, opacity=0.3]d1dd
 endpostscript

enddocument

share|improve this answer

answered 7 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

answered 7 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges

answered 7 hours ago

BernardBernard

186k77 gold badges8484 silver badges220220 bronze badges