Cfxtrjtrk

Extremely, Sorry about the vertical upload or the capture of the scale, Could you please consider the picture as horizontal, I need to draw this, I am able to learn from here the following: But I need to re-draw this in my current situation: Will be grateful for the help. Between 1 and k, dot dot will be fine instead of small line segments which I have drawn for P or t.

documentclass[tikz,border=3.14mm]{standalone}

begin{document}

begin{tikzpicture}

 pgfmathtruncatemacro{L}{10} %<- length of the line

 pgfmathtruncatemacro{kmax}{6} 

 pgfmathtruncatemacro{tmax}{7}

 draw (0,0) -- (L,0);

 foreach k in {0,...,kmax}

  {draw (L*k/kmax,0.2) -- (L*k/kmax,-0.2) ifnumk<2 node[below,text

  height=1.5ex]{$k$}fi

  ifnumk=numexprkmax-1 node[below,text

  height=1.5ex]{$k$}fi

  ifnumk=kmax node[below,text

  height=1.5ex]{$k+1$}fi;

  ifnumk<kmax

  foreach t in {1,2,...,tmax}

  {draw ({L*k/kmax+L*(t/(tmax+1))/kmax},-0.1) 

  -- ({L*k/kmax+L*(t/(tmax+1))/kmax},0.1)

  node[above] {$ifnumt=tmax

  telseifnumt<4

  telse .fifi$} ;}

  fi}

end{tikzpicture}

end{document} 

I also learned these today:

begin{tikzpicture}[xscale=8]

draw[-][draw=red, very thick] (0,0) -- (.5,0);

draw[-][draw=green, very thick] (.5,0) -- (1,0);

draw [thick] (0,-.1) node[below]{0} -- (0,0.1);

draw [thick] (0.5,-.1) node[below]{$a=b=1/2$} -- (0.5,0.1);

draw [thick] (1,-.1) node[below]{1} -- (1,0.1);

end{tikzpicture}





draw[-][draw=red, very thick] (0,0) -- (.5,0);

draw[-][draw=green, very thick] (.5,0) -- (1,0);

draw [thick] (0,-.1) node[below]{0} -- (0,0.1);

0

draw [thick] (0.5,-.1) node[below]{$a=b=1/2$} -- (0.5,0.1);

0 a = b = 1/2

draw [thick] (1,-.1) node[below]{1} -- (1,0.1);

You need not such a complicated code.

documentclass[tikz]{standalone}

begin{document}

begin{tikzpicture}[x=0.8cm]

draw[-latex] (0,0) -- (21,0);

foreach i [count=j] in {0,5,10}

    draw (i,0) -- (i,-.2) node[below,align=center] {j\$P_{j}$};

draw (12,0) -- (12,-.2) node[below,align=center] {$k$\$P_k$};

draw (17,0) -- (17,-.2) node[below,align=center] {$k+1$\$P_{k+1}$};

foreach i [count=j from 0] in {1,6} {

    draw (i,0) -- (i,.2) node[above,align=center] {$a_{j}$\1};

    draw (i+1,0) -- (i+1,.2) node[above,align=center] {$a_{j}$\2};

    path (i+2,.2) node[above] {$ldots$};

    draw (i+3,0) -- (i+3,.2) node[above,align=center] {$a_{j}$\$t$};

}

draw (13,0) -- (13,.2) node[above,align=center] {$a_{k}$\1};

draw (14,0) -- (14,.2) node[above,align=center] {$a_{k}$\2};

path (15,.2) node[above] {$ldots$};

draw (16,0) -- (16,.2) node[above,align=center] {$a_{k}$\$t$};

draw (18,0) -- (18,.2) node[above,align=center] {$a_{k+1}$\1};

draw (19,0) -- (19,.2) node[above,align=center] {$a_{k+1}$\2};

path (20,.2) node[above] {$ldots$};

path (11,-.2) node[below] {$ldots$};

path (11,.2) node[above] {$ldots$};

end{tikzpicture}

end{document}

(open the image in a new tab for better resolution)

Something like this??

documentclass[tikz,border=3.14mm]{standalone}

usepackage{stackengine}

renewcommandstacktype{L}

stackMath

begin{document}

begin{tikzpicture}

 pgfmathtruncatemacro{L}{20} %<- length of the line

 pgfmathtruncatemacro{kmax}{6} 

 pgfmathtruncatemacro{tmax}{7}

 draw (0,0) -- (L,0);

 foreach k in {0,...,kmax}

  {draw (L*k/kmax,0.2) -- (L*k/kmax,-0.2) ifnumk<2 node[below,text

  height=1.5ex]{$k$}fi

  ifnumk=numexprkmax-1 node[below,text

  height=1.5ex]{$k$}fi

  ifnumk=kmax node[below,text

  height=1.5ex]{$k+1$}fi;

  ifnumk<kmax

  foreach t in {1,2,...,tmax}

  {draw ({L*k/kmax+L*(t/(tmax+1))/kmax},-0.1) 

  -- ({L*k/kmax+L*(t/(tmax+1))/kmax},0.1)

  node[above] {$ifnumt=tmax

  ifnumk=5relaxdefq{k}elsedefq{k}fi

  stackon{t}{a_q^t}elseifnumt<4

  ifnumk=5relaxdefq{k}elsedefq{k}fi

  stackon{t}{a_q^t}else .fifi$} ;}

  fi}

end{tikzpicture}

end{document} 

Zoom near k: