Two down arrows over specific separator lines of an array












6















I need to make a figure like the attached image, which contains multiple arrays, two down arrows over the specific separator lines of the first array and text above these two arrows. I could make the arrays in align environment but the problem is arrows and text above them. I used the code below to make the arrays as a figure:



begin{figure}[!ht]
begin{align*}
overrightarrow{P}_{1}
&left[
begin{array}{c|c|c|c|c|c|c|c|c}
alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
end{array}
right] \
overrightarrow{P}_{2}
&left[
begin{array}{c|c|c|c|c|c|c|c|c}
alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
end{array}
right] \
\
overrightarrow{S}_{1}
&left[
begin{array}{c|c|c|c|c|c|c|c|c}
alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
end{array}
right] \
overrightarrow{S}_{2}
&left[
begin{array}{c|c|c|c|c|c|c|c|c}
alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
end{array}
right]
end{align*}
caption{An example}
end{figure}


enter image description here










share|improve this question





























    6















    I need to make a figure like the attached image, which contains multiple arrays, two down arrows over the specific separator lines of the first array and text above these two arrows. I could make the arrays in align environment but the problem is arrows and text above them. I used the code below to make the arrays as a figure:



    begin{figure}[!ht]
    begin{align*}
    overrightarrow{P}_{1}
    &left[
    begin{array}{c|c|c|c|c|c|c|c|c}
    alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
    beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
    end{array}
    right] \
    overrightarrow{P}_{2}
    &left[
    begin{array}{c|c|c|c|c|c|c|c|c}
    alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
    beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
    end{array}
    right] \
    \
    overrightarrow{S}_{1}
    &left[
    begin{array}{c|c|c|c|c|c|c|c|c}
    alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
    beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
    end{array}
    right] \
    overrightarrow{S}_{2}
    &left[
    begin{array}{c|c|c|c|c|c|c|c|c}
    alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
    beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
    end{array}
    right]
    end{align*}
    caption{An example}
    end{figure}


    enter image description here










    share|improve this question



























      6












      6








      6








      I need to make a figure like the attached image, which contains multiple arrays, two down arrows over the specific separator lines of the first array and text above these two arrows. I could make the arrays in align environment but the problem is arrows and text above them. I used the code below to make the arrays as a figure:



      begin{figure}[!ht]
      begin{align*}
      overrightarrow{P}_{1}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
      beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
      end{array}
      right] \
      overrightarrow{P}_{2}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
      beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
      end{array}
      right] \
      \
      overrightarrow{S}_{1}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
      beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
      end{array}
      right] \
      overrightarrow{S}_{2}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
      beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
      end{array}
      right]
      end{align*}
      caption{An example}
      end{figure}


      enter image description here










      share|improve this question
















      I need to make a figure like the attached image, which contains multiple arrays, two down arrows over the specific separator lines of the first array and text above these two arrows. I could make the arrays in align environment but the problem is arrows and text above them. I used the code below to make the arrays as a figure:



      begin{figure}[!ht]
      begin{align*}
      overrightarrow{P}_{1}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
      beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
      end{array}
      right] \
      overrightarrow{P}_{2}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
      beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
      end{array}
      right] \
      \
      overrightarrow{S}_{1}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
      beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
      end{array}
      right] \
      overrightarrow{S}_{2}
      &left[
      begin{array}{c|c|c|c|c|c|c|c|c}
      alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
      beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
      end{array}
      right]
      end{align*}
      caption{An example}
      end{figure}


      enter image description here







      floats arrows arrays






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      edited Nov 23 '18 at 23:03







      M. Mojrian

















      asked Nov 22 '18 at 13:50









      M. MojrianM. Mojrian

      335




      335






















          3 Answers
          3






          active

          oldest

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          5














          After the new tikzmark library, which contains the fabulous command tikzmarknode, was uploaded to CTAN and became part of the standard TeX installations, there is no longer a real need to translate existing tables or matrices to TikZ since now you can use tikzmarknode to do all the things that were harder to accomplish before. That is, you can keep what you have and just add the annotations with TikZ and with minimal effort.



          documentclass{article}
          usepackage{amsmath}
          usepackage{tikz}
          usetikzlibrary{tikzmark,calc}
          begin{document}
          begin{figure}[!ht]
          vspace*{0.6cm}
          begin{align*}
          overrightarrow{P}_{1}
          &left[
          begin{array}{c|c|c|c|c|c|c|c|c}
          alpha_1 & alpha_2 & tikzmarknode{a3}{alpha_3} & tikzmarknode{a4}{alpha_4} & alpha_5 & alpha_6 & alpha_7 & tikzmarknode{a8}{alpha_8} & tikzmarknode{a9}{alpha_9} \
          beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
          end{array}
          right] \
          overrightarrow{P}_{2}
          &left[
          begin{array}{c|c|c|c|c|c|c|c|c}
          alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
          beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
          end{array}
          right] \
          \
          overrightarrow{S}_{1}
          &left[
          begin{array}{c|c|c|c|c|c|c|c|c}
          alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
          beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
          end{array}
          right] \
          overrightarrow{S}_{2}
          &left[
          begin{array}{c|c|c|c|c|c|c|c|c}
          alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
          beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
          end{array}
          right]
          end{align*}
          begin{tikzpicture}[overlay,remember picture]
          draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};
          draw[line width=1mm,latex-,red] ($(a8.north east)!0.5!(a9.north west)+(0,0.2)$) -- ++(0,0.6)node[black,above]{$P_2$};
          end{tikzpicture}
          caption{An example}
          end{figure}
          end{document}


          enter image description here



          To understand what's going on here, look e.g. at



          draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};


          Here +(0,0.2) determines how much the tip (i.e. lower end) of the arrow gets shifted upwards, and ++(0,0.6) determines the length of the arrow. If you increase 0.2, the whole arrow will move upwards, and if you increase/decrease 0.6, the arrow will get longer/shorter.






          share|improve this answer


























          • tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

            – Zarko
            Nov 22 '18 at 18:26











          • @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

            – marmot
            Nov 22 '18 at 18:35











          • i agree with you. the tools which you use are depend on task.

            – Zarko
            Nov 22 '18 at 19:13











          • @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

            – M. Mojrian
            Nov 23 '18 at 17:46











          • @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

            – marmot
            Nov 23 '18 at 17:53



















          5














          enter image description here



          since you include this two equations as figure, why not draw them? for example, draw them with tikz and use of the library matrix:



          documentclass{article}
          usepackage{tikz}
          usetikzlibrary{arrows.meta, matrix, positioning}

          begin{document}
          begin{figure}[htb]
          centering
          begin{tikzpicture}[
          node distance = 9mm and 1.5mm,
          arr/.style = {draw=red, very thick, Trinagle-, shorten <=1mm},
          mtrx/.style = {matrix of math nodes,
          nodes={minimum width=2em},
          left delimiter={[},
          right delimiter={]},
          inner ysep=1pt, inner xsep=-2pt}
          ]
          matrix (m) [mtrx]
          {
          alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
          beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
          };
          node[left=of m] {$vec{P}=$};
          %
          matrix (n) [mtrx, right=of n0]
          {
          alpha_1' & alpha_2' & alpha_3' & alpha_4' & alpha_5' & alpha_6' & alpha_7' & alpha_8' & alpha_9' \
          beta_1' & beta_2' & beta_3' & beta_4' & beta_5' & beta_6' & beta_7' & beta_8' & beta_9' \
          };
          node[left=of n]{$vec{S}_1$};
          %
          foreach i in {1,...,8}
          {
          draw (m-1-i.north east) -- (m-2-i.south east);
          draw (n-1-i.north east) -- (n-2-i.south east);
          }
          path[arr]
          (m-1-3.north east) -- + (0,0.5) node[above] {$mathbf{P1}$};
          path[arr]
          (m-1-8.north east) -- + (0,0.5) node[above] {$mathbf{P2}$};
          end{tikzpicture}

          caption{An example of applied two-point quantum crossover}
          label{fig:equation}
          end{figure}
          end{document}





          share|improve this answer

































            3














            You can place the P_1 and P_2 markers using eso-pic's absolute positioning mechanism - placing it in the ForeGround of the current page (via AddToShipoutPictureFG*). zref's savepos module allows you to capture the x,y coordinates of a <label> (set using zsavepos{<label>}) which can be retrieved using zposx/zposy (both expandable).



            enter image description here



            documentclass{article}

            usepackage{amsmath,zref-savepos,eso-pic}

            begin{document}

            begin{align*}
            & \ % Just to leave an empty line
            overrightarrow{P}_1
            & left[
            begin{array}{ *{8}{c|} c }
            alpha_1 & alpha_2 & alpha_3zsavepos{P1L} & zsavepos{P1R}alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8zsavepos{P2L} & zsavepos{P2R}alpha_9 \
            beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
            end{array}
            right] \
            overrightarrow{P}_2
            & left[
            begin{array}{ *{8}{c|} c }
            alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
            beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
            end{array}
            right] \
            \
            overrightarrow{S}_1
            & left[
            begin{array}{ *{8}{c|} c }
            alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
            beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
            end{array}
            right] \
            overrightarrow{S}_2
            & left[
            begin{array}{ *{8}{c|} c }
            alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
            beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
            end{array}
            right]
            end{align*}
            AddToShipoutPictureFG*{%
            AtPageLowerLeft{%
            hspace{0.5dimexprzposx{P1L}sp+zposx{P1R}sprelax}%
            raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_1 \ downarrow}$}}%
            }%
            AtPageLowerLeft{%
            hspace{0.5dimexprzposx{P2L}sp+zposx{P2R}sprelax}%
            raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_2 \ downarrow}$}}%
            }%
            }

            end{document}


            Above I place two markers around the array column divider for each of P_1 and P_2 (denoted with a Left and Right suffix) and position the labels to be at the horizontal centre of these markers.



            An empty line within the align* is left at the top in order to avoid unnecessary interaction with content appearing above the environment.



            Since the markers use TeX's label-ref-like system, any change in the location of the markers requires an additional compilation so reference can settle.






            share|improve this answer























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              3 Answers
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              3 Answers
              3






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              5














              After the new tikzmark library, which contains the fabulous command tikzmarknode, was uploaded to CTAN and became part of the standard TeX installations, there is no longer a real need to translate existing tables or matrices to TikZ since now you can use tikzmarknode to do all the things that were harder to accomplish before. That is, you can keep what you have and just add the annotations with TikZ and with minimal effort.



              documentclass{article}
              usepackage{amsmath}
              usepackage{tikz}
              usetikzlibrary{tikzmark,calc}
              begin{document}
              begin{figure}[!ht]
              vspace*{0.6cm}
              begin{align*}
              overrightarrow{P}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & tikzmarknode{a3}{alpha_3} & tikzmarknode{a4}{alpha_4} & alpha_5 & alpha_6 & alpha_7 & tikzmarknode{a8}{alpha_8} & tikzmarknode{a9}{alpha_9} \
              beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{P}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
              end{array}
              right] \
              \
              overrightarrow{S}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
              beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{S}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
              end{array}
              right]
              end{align*}
              begin{tikzpicture}[overlay,remember picture]
              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};
              draw[line width=1mm,latex-,red] ($(a8.north east)!0.5!(a9.north west)+(0,0.2)$) -- ++(0,0.6)node[black,above]{$P_2$};
              end{tikzpicture}
              caption{An example}
              end{figure}
              end{document}


              enter image description here



              To understand what's going on here, look e.g. at



              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};


              Here +(0,0.2) determines how much the tip (i.e. lower end) of the arrow gets shifted upwards, and ++(0,0.6) determines the length of the arrow. If you increase 0.2, the whole arrow will move upwards, and if you increase/decrease 0.6, the arrow will get longer/shorter.






              share|improve this answer


























              • tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

                – Zarko
                Nov 22 '18 at 18:26











              • @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

                – marmot
                Nov 22 '18 at 18:35











              • i agree with you. the tools which you use are depend on task.

                – Zarko
                Nov 22 '18 at 19:13











              • @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

                – M. Mojrian
                Nov 23 '18 at 17:46











              • @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

                – marmot
                Nov 23 '18 at 17:53
















              5














              After the new tikzmark library, which contains the fabulous command tikzmarknode, was uploaded to CTAN and became part of the standard TeX installations, there is no longer a real need to translate existing tables or matrices to TikZ since now you can use tikzmarknode to do all the things that were harder to accomplish before. That is, you can keep what you have and just add the annotations with TikZ and with minimal effort.



              documentclass{article}
              usepackage{amsmath}
              usepackage{tikz}
              usetikzlibrary{tikzmark,calc}
              begin{document}
              begin{figure}[!ht]
              vspace*{0.6cm}
              begin{align*}
              overrightarrow{P}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & tikzmarknode{a3}{alpha_3} & tikzmarknode{a4}{alpha_4} & alpha_5 & alpha_6 & alpha_7 & tikzmarknode{a8}{alpha_8} & tikzmarknode{a9}{alpha_9} \
              beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{P}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
              end{array}
              right] \
              \
              overrightarrow{S}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
              beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{S}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
              end{array}
              right]
              end{align*}
              begin{tikzpicture}[overlay,remember picture]
              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};
              draw[line width=1mm,latex-,red] ($(a8.north east)!0.5!(a9.north west)+(0,0.2)$) -- ++(0,0.6)node[black,above]{$P_2$};
              end{tikzpicture}
              caption{An example}
              end{figure}
              end{document}


              enter image description here



              To understand what's going on here, look e.g. at



              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};


              Here +(0,0.2) determines how much the tip (i.e. lower end) of the arrow gets shifted upwards, and ++(0,0.6) determines the length of the arrow. If you increase 0.2, the whole arrow will move upwards, and if you increase/decrease 0.6, the arrow will get longer/shorter.






              share|improve this answer


























              • tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

                – Zarko
                Nov 22 '18 at 18:26











              • @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

                – marmot
                Nov 22 '18 at 18:35











              • i agree with you. the tools which you use are depend on task.

                – Zarko
                Nov 22 '18 at 19:13











              • @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

                – M. Mojrian
                Nov 23 '18 at 17:46











              • @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

                – marmot
                Nov 23 '18 at 17:53














              5












              5








              5







              After the new tikzmark library, which contains the fabulous command tikzmarknode, was uploaded to CTAN and became part of the standard TeX installations, there is no longer a real need to translate existing tables or matrices to TikZ since now you can use tikzmarknode to do all the things that were harder to accomplish before. That is, you can keep what you have and just add the annotations with TikZ and with minimal effort.



              documentclass{article}
              usepackage{amsmath}
              usepackage{tikz}
              usetikzlibrary{tikzmark,calc}
              begin{document}
              begin{figure}[!ht]
              vspace*{0.6cm}
              begin{align*}
              overrightarrow{P}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & tikzmarknode{a3}{alpha_3} & tikzmarknode{a4}{alpha_4} & alpha_5 & alpha_6 & alpha_7 & tikzmarknode{a8}{alpha_8} & tikzmarknode{a9}{alpha_9} \
              beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{P}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
              end{array}
              right] \
              \
              overrightarrow{S}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
              beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{S}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
              end{array}
              right]
              end{align*}
              begin{tikzpicture}[overlay,remember picture]
              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};
              draw[line width=1mm,latex-,red] ($(a8.north east)!0.5!(a9.north west)+(0,0.2)$) -- ++(0,0.6)node[black,above]{$P_2$};
              end{tikzpicture}
              caption{An example}
              end{figure}
              end{document}


              enter image description here



              To understand what's going on here, look e.g. at



              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};


              Here +(0,0.2) determines how much the tip (i.e. lower end) of the arrow gets shifted upwards, and ++(0,0.6) determines the length of the arrow. If you increase 0.2, the whole arrow will move upwards, and if you increase/decrease 0.6, the arrow will get longer/shorter.






              share|improve this answer















              After the new tikzmark library, which contains the fabulous command tikzmarknode, was uploaded to CTAN and became part of the standard TeX installations, there is no longer a real need to translate existing tables or matrices to TikZ since now you can use tikzmarknode to do all the things that were harder to accomplish before. That is, you can keep what you have and just add the annotations with TikZ and with minimal effort.



              documentclass{article}
              usepackage{amsmath}
              usepackage{tikz}
              usetikzlibrary{tikzmark,calc}
              begin{document}
              begin{figure}[!ht]
              vspace*{0.6cm}
              begin{align*}
              overrightarrow{P}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & tikzmarknode{a3}{alpha_3} & tikzmarknode{a4}{alpha_4} & alpha_5 & alpha_6 & alpha_7 & tikzmarknode{a8}{alpha_8} & tikzmarknode{a9}{alpha_9} \
              beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{P}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
              end{array}
              right] \
              \
              overrightarrow{S}_{1}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
              beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
              end{array}
              right] \
              overrightarrow{S}_{2}
              &left[
              begin{array}{c|c|c|c|c|c|c|c|c}
              alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
              beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
              end{array}
              right]
              end{align*}
              begin{tikzpicture}[overlay,remember picture]
              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};
              draw[line width=1mm,latex-,red] ($(a8.north east)!0.5!(a9.north west)+(0,0.2)$) -- ++(0,0.6)node[black,above]{$P_2$};
              end{tikzpicture}
              caption{An example}
              end{figure}
              end{document}


              enter image description here



              To understand what's going on here, look e.g. at



              draw[line width=1mm,latex-,red] ($(a3.north east)!0.5!(a4.north west)+(0,0.2)$) -- ++(0,0.6) node[black,above]{$P_1$};


              Here +(0,0.2) determines how much the tip (i.e. lower end) of the arrow gets shifted upwards, and ++(0,0.6) determines the length of the arrow. If you increase 0.2, the whole arrow will move upwards, and if you increase/decrease 0.6, the arrow will get longer/shorter.







              share|improve this answer














              share|improve this answer



              share|improve this answer








              edited Nov 23 '18 at 17:57

























              answered Nov 22 '18 at 16:56









              marmotmarmot

              111k5138257




              111k5138257













              • tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

                – Zarko
                Nov 22 '18 at 18:26











              • @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

                – marmot
                Nov 22 '18 at 18:35











              • i agree with you. the tools which you use are depend on task.

                – Zarko
                Nov 22 '18 at 19:13











              • @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

                – M. Mojrian
                Nov 23 '18 at 17:46











              • @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

                – marmot
                Nov 23 '18 at 17:53



















              • tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

                – Zarko
                Nov 22 '18 at 18:26











              • @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

                – marmot
                Nov 22 '18 at 18:35











              • i agree with you. the tools which you use are depend on task.

                – Zarko
                Nov 22 '18 at 19:13











              • @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

                – M. Mojrian
                Nov 23 '18 at 17:46











              • @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

                – marmot
                Nov 23 '18 at 17:53

















              tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

              – Zarko
              Nov 22 '18 at 18:26





              tikzmark library is indeed powerful, however transforming ``matrix` to array is not so big deal (except that drawing vertical lines require separate command) ;-). +1 for nice answer!

              – Zarko
              Nov 22 '18 at 18:26













              @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

              – marmot
              Nov 22 '18 at 18:35





              @Zarko Well, you are very powerful with tables, so you know better than me that you can do things with tables which are very hard to reproduce with a TikZ matrix. Features that are hard to get with a TikZ matrix include aligning the decimal points and so on. In the present situation I agree that you can use a TikZ matrix in a very elegant way, but at the very moment in which the OP really makes use of align* it will be harder. So I guess everything will depend on what the OP ultimately wants to do, which we do not know.

              – marmot
              Nov 22 '18 at 18:35













              i agree with you. the tools which you use are depend on task.

              – Zarko
              Nov 22 '18 at 19:13





              i agree with you. the tools which you use are depend on task.

              – Zarko
              Nov 22 '18 at 19:13













              @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

              – M. Mojrian
              Nov 23 '18 at 17:46





              @marmot Thanks for your nice and simple solution. But, is there any way to put a small vertical space between the arrows and the corresponding separator lines?

              – M. Mojrian
              Nov 23 '18 at 17:46













              @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

              – marmot
              Nov 23 '18 at 17:53





              @M.Mojrian Sure. I moved them up a bit and added more explanation such that you can adjust them further, if needed.

              – marmot
              Nov 23 '18 at 17:53











              5














              enter image description here



              since you include this two equations as figure, why not draw them? for example, draw them with tikz and use of the library matrix:



              documentclass{article}
              usepackage{tikz}
              usetikzlibrary{arrows.meta, matrix, positioning}

              begin{document}
              begin{figure}[htb]
              centering
              begin{tikzpicture}[
              node distance = 9mm and 1.5mm,
              arr/.style = {draw=red, very thick, Trinagle-, shorten <=1mm},
              mtrx/.style = {matrix of math nodes,
              nodes={minimum width=2em},
              left delimiter={[},
              right delimiter={]},
              inner ysep=1pt, inner xsep=-2pt}
              ]
              matrix (m) [mtrx]
              {
              alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
              beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
              };
              node[left=of m] {$vec{P}=$};
              %
              matrix (n) [mtrx, right=of n0]
              {
              alpha_1' & alpha_2' & alpha_3' & alpha_4' & alpha_5' & alpha_6' & alpha_7' & alpha_8' & alpha_9' \
              beta_1' & beta_2' & beta_3' & beta_4' & beta_5' & beta_6' & beta_7' & beta_8' & beta_9' \
              };
              node[left=of n]{$vec{S}_1$};
              %
              foreach i in {1,...,8}
              {
              draw (m-1-i.north east) -- (m-2-i.south east);
              draw (n-1-i.north east) -- (n-2-i.south east);
              }
              path[arr]
              (m-1-3.north east) -- + (0,0.5) node[above] {$mathbf{P1}$};
              path[arr]
              (m-1-8.north east) -- + (0,0.5) node[above] {$mathbf{P2}$};
              end{tikzpicture}

              caption{An example of applied two-point quantum crossover}
              label{fig:equation}
              end{figure}
              end{document}





              share|improve this answer






























                5














                enter image description here



                since you include this two equations as figure, why not draw them? for example, draw them with tikz and use of the library matrix:



                documentclass{article}
                usepackage{tikz}
                usetikzlibrary{arrows.meta, matrix, positioning}

                begin{document}
                begin{figure}[htb]
                centering
                begin{tikzpicture}[
                node distance = 9mm and 1.5mm,
                arr/.style = {draw=red, very thick, Trinagle-, shorten <=1mm},
                mtrx/.style = {matrix of math nodes,
                nodes={minimum width=2em},
                left delimiter={[},
                right delimiter={]},
                inner ysep=1pt, inner xsep=-2pt}
                ]
                matrix (m) [mtrx]
                {
                alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
                beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                };
                node[left=of m] {$vec{P}=$};
                %
                matrix (n) [mtrx, right=of n0]
                {
                alpha_1' & alpha_2' & alpha_3' & alpha_4' & alpha_5' & alpha_6' & alpha_7' & alpha_8' & alpha_9' \
                beta_1' & beta_2' & beta_3' & beta_4' & beta_5' & beta_6' & beta_7' & beta_8' & beta_9' \
                };
                node[left=of n]{$vec{S}_1$};
                %
                foreach i in {1,...,8}
                {
                draw (m-1-i.north east) -- (m-2-i.south east);
                draw (n-1-i.north east) -- (n-2-i.south east);
                }
                path[arr]
                (m-1-3.north east) -- + (0,0.5) node[above] {$mathbf{P1}$};
                path[arr]
                (m-1-8.north east) -- + (0,0.5) node[above] {$mathbf{P2}$};
                end{tikzpicture}

                caption{An example of applied two-point quantum crossover}
                label{fig:equation}
                end{figure}
                end{document}





                share|improve this answer




























                  5












                  5








                  5







                  enter image description here



                  since you include this two equations as figure, why not draw them? for example, draw them with tikz and use of the library matrix:



                  documentclass{article}
                  usepackage{tikz}
                  usetikzlibrary{arrows.meta, matrix, positioning}

                  begin{document}
                  begin{figure}[htb]
                  centering
                  begin{tikzpicture}[
                  node distance = 9mm and 1.5mm,
                  arr/.style = {draw=red, very thick, Trinagle-, shorten <=1mm},
                  mtrx/.style = {matrix of math nodes,
                  nodes={minimum width=2em},
                  left delimiter={[},
                  right delimiter={]},
                  inner ysep=1pt, inner xsep=-2pt}
                  ]
                  matrix (m) [mtrx]
                  {
                  alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
                  beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                  };
                  node[left=of m] {$vec{P}=$};
                  %
                  matrix (n) [mtrx, right=of n0]
                  {
                  alpha_1' & alpha_2' & alpha_3' & alpha_4' & alpha_5' & alpha_6' & alpha_7' & alpha_8' & alpha_9' \
                  beta_1' & beta_2' & beta_3' & beta_4' & beta_5' & beta_6' & beta_7' & beta_8' & beta_9' \
                  };
                  node[left=of n]{$vec{S}_1$};
                  %
                  foreach i in {1,...,8}
                  {
                  draw (m-1-i.north east) -- (m-2-i.south east);
                  draw (n-1-i.north east) -- (n-2-i.south east);
                  }
                  path[arr]
                  (m-1-3.north east) -- + (0,0.5) node[above] {$mathbf{P1}$};
                  path[arr]
                  (m-1-8.north east) -- + (0,0.5) node[above] {$mathbf{P2}$};
                  end{tikzpicture}

                  caption{An example of applied two-point quantum crossover}
                  label{fig:equation}
                  end{figure}
                  end{document}





                  share|improve this answer















                  enter image description here



                  since you include this two equations as figure, why not draw them? for example, draw them with tikz and use of the library matrix:



                  documentclass{article}
                  usepackage{tikz}
                  usetikzlibrary{arrows.meta, matrix, positioning}

                  begin{document}
                  begin{figure}[htb]
                  centering
                  begin{tikzpicture}[
                  node distance = 9mm and 1.5mm,
                  arr/.style = {draw=red, very thick, Trinagle-, shorten <=1mm},
                  mtrx/.style = {matrix of math nodes,
                  nodes={minimum width=2em},
                  left delimiter={[},
                  right delimiter={]},
                  inner ysep=1pt, inner xsep=-2pt}
                  ]
                  matrix (m) [mtrx]
                  {
                  alpha_1 & alpha_2 & alpha_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha_9 \
                  beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                  };
                  node[left=of m] {$vec{P}=$};
                  %
                  matrix (n) [mtrx, right=of n0]
                  {
                  alpha_1' & alpha_2' & alpha_3' & alpha_4' & alpha_5' & alpha_6' & alpha_7' & alpha_8' & alpha_9' \
                  beta_1' & beta_2' & beta_3' & beta_4' & beta_5' & beta_6' & beta_7' & beta_8' & beta_9' \
                  };
                  node[left=of n]{$vec{S}_1$};
                  %
                  foreach i in {1,...,8}
                  {
                  draw (m-1-i.north east) -- (m-2-i.south east);
                  draw (n-1-i.north east) -- (n-2-i.south east);
                  }
                  path[arr]
                  (m-1-3.north east) -- + (0,0.5) node[above] {$mathbf{P1}$};
                  path[arr]
                  (m-1-8.north east) -- + (0,0.5) node[above] {$mathbf{P2}$};
                  end{tikzpicture}

                  caption{An example of applied two-point quantum crossover}
                  label{fig:equation}
                  end{figure}
                  end{document}






                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited Nov 22 '18 at 18:16

























                  answered Nov 22 '18 at 14:41









                  ZarkoZarko

                  127k868167




                  127k868167























                      3














                      You can place the P_1 and P_2 markers using eso-pic's absolute positioning mechanism - placing it in the ForeGround of the current page (via AddToShipoutPictureFG*). zref's savepos module allows you to capture the x,y coordinates of a <label> (set using zsavepos{<label>}) which can be retrieved using zposx/zposy (both expandable).



                      enter image description here



                      documentclass{article}

                      usepackage{amsmath,zref-savepos,eso-pic}

                      begin{document}

                      begin{align*}
                      & \ % Just to leave an empty line
                      overrightarrow{P}_1
                      & left[
                      begin{array}{ *{8}{c|} c }
                      alpha_1 & alpha_2 & alpha_3zsavepos{P1L} & zsavepos{P1R}alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8zsavepos{P2L} & zsavepos{P2R}alpha_9 \
                      beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                      end{array}
                      right] \
                      overrightarrow{P}_2
                      & left[
                      begin{array}{ *{8}{c|} c }
                      alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
                      beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
                      end{array}
                      right] \
                      \
                      overrightarrow{S}_1
                      & left[
                      begin{array}{ *{8}{c|} c }
                      alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
                      beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
                      end{array}
                      right] \
                      overrightarrow{S}_2
                      & left[
                      begin{array}{ *{8}{c|} c }
                      alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
                      beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
                      end{array}
                      right]
                      end{align*}
                      AddToShipoutPictureFG*{%
                      AtPageLowerLeft{%
                      hspace{0.5dimexprzposx{P1L}sp+zposx{P1R}sprelax}%
                      raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_1 \ downarrow}$}}%
                      }%
                      AtPageLowerLeft{%
                      hspace{0.5dimexprzposx{P2L}sp+zposx{P2R}sprelax}%
                      raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_2 \ downarrow}$}}%
                      }%
                      }

                      end{document}


                      Above I place two markers around the array column divider for each of P_1 and P_2 (denoted with a Left and Right suffix) and position the labels to be at the horizontal centre of these markers.



                      An empty line within the align* is left at the top in order to avoid unnecessary interaction with content appearing above the environment.



                      Since the markers use TeX's label-ref-like system, any change in the location of the markers requires an additional compilation so reference can settle.






                      share|improve this answer




























                        3














                        You can place the P_1 and P_2 markers using eso-pic's absolute positioning mechanism - placing it in the ForeGround of the current page (via AddToShipoutPictureFG*). zref's savepos module allows you to capture the x,y coordinates of a <label> (set using zsavepos{<label>}) which can be retrieved using zposx/zposy (both expandable).



                        enter image description here



                        documentclass{article}

                        usepackage{amsmath,zref-savepos,eso-pic}

                        begin{document}

                        begin{align*}
                        & \ % Just to leave an empty line
                        overrightarrow{P}_1
                        & left[
                        begin{array}{ *{8}{c|} c }
                        alpha_1 & alpha_2 & alpha_3zsavepos{P1L} & zsavepos{P1R}alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8zsavepos{P2L} & zsavepos{P2R}alpha_9 \
                        beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                        end{array}
                        right] \
                        overrightarrow{P}_2
                        & left[
                        begin{array}{ *{8}{c|} c }
                        alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
                        beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
                        end{array}
                        right] \
                        \
                        overrightarrow{S}_1
                        & left[
                        begin{array}{ *{8}{c|} c }
                        alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
                        beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
                        end{array}
                        right] \
                        overrightarrow{S}_2
                        & left[
                        begin{array}{ *{8}{c|} c }
                        alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
                        beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
                        end{array}
                        right]
                        end{align*}
                        AddToShipoutPictureFG*{%
                        AtPageLowerLeft{%
                        hspace{0.5dimexprzposx{P1L}sp+zposx{P1R}sprelax}%
                        raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_1 \ downarrow}$}}%
                        }%
                        AtPageLowerLeft{%
                        hspace{0.5dimexprzposx{P2L}sp+zposx{P2R}sprelax}%
                        raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_2 \ downarrow}$}}%
                        }%
                        }

                        end{document}


                        Above I place two markers around the array column divider for each of P_1 and P_2 (denoted with a Left and Right suffix) and position the labels to be at the horizontal centre of these markers.



                        An empty line within the align* is left at the top in order to avoid unnecessary interaction with content appearing above the environment.



                        Since the markers use TeX's label-ref-like system, any change in the location of the markers requires an additional compilation so reference can settle.






                        share|improve this answer


























                          3












                          3








                          3







                          You can place the P_1 and P_2 markers using eso-pic's absolute positioning mechanism - placing it in the ForeGround of the current page (via AddToShipoutPictureFG*). zref's savepos module allows you to capture the x,y coordinates of a <label> (set using zsavepos{<label>}) which can be retrieved using zposx/zposy (both expandable).



                          enter image description here



                          documentclass{article}

                          usepackage{amsmath,zref-savepos,eso-pic}

                          begin{document}

                          begin{align*}
                          & \ % Just to leave an empty line
                          overrightarrow{P}_1
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha_1 & alpha_2 & alpha_3zsavepos{P1L} & zsavepos{P1R}alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8zsavepos{P2L} & zsavepos{P2R}alpha_9 \
                          beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                          end{array}
                          right] \
                          overrightarrow{P}_2
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
                          beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
                          end{array}
                          right] \
                          \
                          overrightarrow{S}_1
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
                          beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
                          end{array}
                          right] \
                          overrightarrow{S}_2
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
                          beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
                          end{array}
                          right]
                          end{align*}
                          AddToShipoutPictureFG*{%
                          AtPageLowerLeft{%
                          hspace{0.5dimexprzposx{P1L}sp+zposx{P1R}sprelax}%
                          raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_1 \ downarrow}$}}%
                          }%
                          AtPageLowerLeft{%
                          hspace{0.5dimexprzposx{P2L}sp+zposx{P2R}sprelax}%
                          raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_2 \ downarrow}$}}%
                          }%
                          }

                          end{document}


                          Above I place two markers around the array column divider for each of P_1 and P_2 (denoted with a Left and Right suffix) and position the labels to be at the horizontal centre of these markers.



                          An empty line within the align* is left at the top in order to avoid unnecessary interaction with content appearing above the environment.



                          Since the markers use TeX's label-ref-like system, any change in the location of the markers requires an additional compilation so reference can settle.






                          share|improve this answer













                          You can place the P_1 and P_2 markers using eso-pic's absolute positioning mechanism - placing it in the ForeGround of the current page (via AddToShipoutPictureFG*). zref's savepos module allows you to capture the x,y coordinates of a <label> (set using zsavepos{<label>}) which can be retrieved using zposx/zposy (both expandable).



                          enter image description here



                          documentclass{article}

                          usepackage{amsmath,zref-savepos,eso-pic}

                          begin{document}

                          begin{align*}
                          & \ % Just to leave an empty line
                          overrightarrow{P}_1
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha_1 & alpha_2 & alpha_3zsavepos{P1L} & zsavepos{P1R}alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8zsavepos{P2L} & zsavepos{P2R}alpha_9 \
                          beta_1 & beta_2 & beta_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta_9 \
                          end{array}
                          right] \
                          overrightarrow{P}_2
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha^prime_9 \
                          beta^prime_1 & beta^prime_2 & beta^prime_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta^prime_9 \
                          end{array}
                          right] \
                          \
                          overrightarrow{S}_1
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha_1 & alpha_2 & alpha_3 & alpha^prime_4 & alpha^prime_5 & alpha^prime_6 & alpha^prime_7 & alpha^prime_8 & alpha_9 \
                          beta_1 & beta_2 & beta_3 & beta^prime_4 & beta^prime_5 & beta^prime_6 & beta^prime_7 & beta^prime_8 & beta_9 \
                          end{array}
                          right] \
                          overrightarrow{S}_2
                          & left[
                          begin{array}{ *{8}{c|} c }
                          alpha^prime_1 & alpha^prime_2 & alpha^prime_3 & alpha_4 & alpha_5 & alpha_6 & alpha_7 & alpha_8 & alpha^prime_9 \
                          beta^prime_1 & beta^prime_2 & beta^prime_3 & beta_4 & beta_5 & beta_6 & beta_7 & beta_8 & beta^prime_9 \
                          end{array}
                          right]
                          end{align*}
                          AddToShipoutPictureFG*{%
                          AtPageLowerLeft{%
                          hspace{0.5dimexprzposx{P1L}sp+zposx{P1R}sprelax}%
                          raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_1 \ downarrow}$}}%
                          }%
                          AtPageLowerLeft{%
                          hspace{0.5dimexprzposx{P2L}sp+zposx{P2R}sprelax}%
                          raisebox{dimexprzposy{P1L}sp+1.5baselineskip}{makebox[0pt]{$substack{P_2 \ downarrow}$}}%
                          }%
                          }

                          end{document}


                          Above I place two markers around the array column divider for each of P_1 and P_2 (denoted with a Left and Right suffix) and position the labels to be at the horizontal centre of these markers.



                          An empty line within the align* is left at the top in order to avoid unnecessary interaction with content appearing above the environment.



                          Since the markers use TeX's label-ref-like system, any change in the location of the markers requires an additional compilation so reference can settle.







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered Nov 22 '18 at 18:57









                          WernerWerner

                          448k719921697




                          448k719921697






























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