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Tikz picture of two mathematical functions

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1

0

I'm trying to draw the functions y=(0.05*0.4+0.1*2*x)/(0.05+0.1*2) and x=-0.1/(2*10*(y - 0.1))+y, by using tikz as follows

begin{tikzpicture}

begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$}, ylabel={$s$}]

addplot[blue, ultra thick] (x,(0.05*0.4+0.1*2*x)/(0.05+0.1*2));

addplot[red,  ultra thick] (-0.1/(2*10*(x - 0.1))+x,x);

end{axis}

end{tikzpicture}

I obtained the picture:

But I'm not sure about the result (tikz seems to have drawn also the asymptote of second function). For me (and Mathematica) the result should be instead the following:

Can anybody tell me what's wrong with this picture and my tikz code?

tikz-pgf wolfram-mathematica

share|improve this question

asked 5 hours ago

MarkMark

20216

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  Add appropriate curly brackets: addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)}); addplot[red, ultra thick] ({-0.1/(2*10*(x - 0.1))+x},x);.
  
  – marmot
  5 hours ago
  

  
  
  
  

add a comment | 

1

0

I'm trying to draw the functions y=(0.05*0.4+0.1*2*x)/(0.05+0.1*2) and x=-0.1/(2*10*(y - 0.1))+y, by using tikz as follows

begin{tikzpicture}

begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$}, ylabel={$s$}]

addplot[blue, ultra thick] (x,(0.05*0.4+0.1*2*x)/(0.05+0.1*2));

addplot[red,  ultra thick] (-0.1/(2*10*(x - 0.1))+x,x);

end{axis}

end{tikzpicture}

I obtained the picture:

But I'm not sure about the result (tikz seems to have drawn also the asymptote of second function). For me (and Mathematica) the result should be instead the following:

Can anybody tell me what's wrong with this picture and my tikz code?

tikz-pgf wolfram-mathematica

share|improve this question

asked 5 hours ago

MarkMark

20216

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  Add appropriate curly brackets: addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)}); addplot[red, ultra thick] ({-0.1/(2*10*(x - 0.1))+x},x);.
  
  – marmot
  5 hours ago
  

  
  
  
  

add a comment | 

I'm trying to draw the functions y=(0.05*0.4+0.1*2*x)/(0.05+0.1*2) and x=-0.1/(2*10*(y - 0.1))+y, by using tikz as follows

begin{tikzpicture}

begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$}, ylabel={$s$}]

addplot[blue, ultra thick] (x,(0.05*0.4+0.1*2*x)/(0.05+0.1*2));

addplot[red,  ultra thick] (-0.1/(2*10*(x - 0.1))+x,x);

end{axis}

end{tikzpicture}

I obtained the picture:

But I'm not sure about the result (tikz seems to have drawn also the asymptote of second function). For me (and Mathematica) the result should be instead the following:

Can anybody tell me what's wrong with this picture and my tikz code?

tikz-pgf wolfram-mathematica

share|improve this question

asked 5 hours ago

MarkMark

20216

begin{tikzpicture}

begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$}, ylabel={$s$}]

addplot[blue, ultra thick] (x,(0.05*0.4+0.1*2*x)/(0.05+0.1*2));

addplot[red,  ultra thick] (-0.1/(2*10*(x - 0.1))+x,x);

end{axis}

end{tikzpicture}

share|improve this question

asked 5 hours ago

MarkMark

20216

share|improve this question

asked 5 hours ago

MarkMark

20216

asked 5 hours ago

MarkMark

20216

asked 5 hours ago

MarkMark

20216

1 Answer
1

active

oldest

votes

6

The TikZ/pgfplots parser gets confused about the brackets, it does not know which of them are delimiters of coordinates or expressions in the functions. So you have to help them a bit by adding curly brackets.

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

usepackage{pgfplots}

pgfplotsset{compat=1.16}

begin{document}

begin{tikzpicture}

 begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$},

 ylabel={$s$},unbounded coords=discard]

  addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});

  addplot[red,  ultra thick,domain=0:0.099] ({-0.1/(2*10*(x - 0.1))+x},x);

  addplot[red,  ultra thick,domain=0.11:1] ({-0.1/(2*10*(x - 0.1))+x},x);

 end{axis}

end{tikzpicture}

end{document}

share|improve this answer

edited 1 hour ago

answered 5 hours ago

marmotmarmot

109k5133252

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you! It's clear. Is there a way to remove the asymptote?
  
  – Mark
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Mark Sure. (Sorry, was offline.) I removed the red asymptote. If you want to remove the blue one as well, remove addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});. The red one was because you plotted over a singularity at x=0.1, and one easy way to remove it is to add two separate plots that avoid it.
  
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

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6

The TikZ/pgfplots parser gets confused about the brackets, it does not know which of them are delimiters of coordinates or expressions in the functions. So you have to help them a bit by adding curly brackets.

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

usepackage{pgfplots}

pgfplotsset{compat=1.16}

begin{document}

begin{tikzpicture}

 begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$},

 ylabel={$s$},unbounded coords=discard]

  addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});

  addplot[red,  ultra thick,domain=0:0.099] ({-0.1/(2*10*(x - 0.1))+x},x);

  addplot[red,  ultra thick,domain=0.11:1] ({-0.1/(2*10*(x - 0.1))+x},x);

 end{axis}

end{tikzpicture}

end{document}

share|improve this answer

edited 1 hour ago

answered 5 hours ago

marmotmarmot

109k5133252

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you! It's clear. Is there a way to remove the asymptote?
  
  – Mark
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Mark Sure. (Sorry, was offline.) I removed the red asymptote. If you want to remove the blue one as well, remove addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});. The red one was because you plotted over a singularity at x=0.1, and one easy way to remove it is to add two separate plots that avoid it.
  
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

6

The TikZ/pgfplots parser gets confused about the brackets, it does not know which of them are delimiters of coordinates or expressions in the functions. So you have to help them a bit by adding curly brackets.

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

usepackage{pgfplots}

pgfplotsset{compat=1.16}

begin{document}

begin{tikzpicture}

 begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$},

 ylabel={$s$},unbounded coords=discard]

  addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});

  addplot[red,  ultra thick,domain=0:0.099] ({-0.1/(2*10*(x - 0.1))+x},x);

  addplot[red,  ultra thick,domain=0.11:1] ({-0.1/(2*10*(x - 0.1))+x},x);

 end{axis}

end{tikzpicture}

end{document}

share|improve this answer

edited 1 hour ago

answered 5 hours ago

marmotmarmot

109k5133252

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you! It's clear. Is there a way to remove the asymptote?
  
  – Mark
  3 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Mark Sure. (Sorry, was offline.) I removed the red asymptote. If you want to remove the blue one as well, remove addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});. The red one was because you plotted over a singularity at x=0.1, and one easy way to remove it is to add two separate plots that avoid it.
  
  – marmot
  1 hour ago
  

  
  
  
  

add a comment | 

The TikZ/pgfplots parser gets confused about the brackets, it does not know which of them are delimiters of coordinates or expressions in the functions. So you have to help them a bit by adding curly brackets.

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

usepackage{pgfplots}

pgfplotsset{compat=1.16}

begin{document}

begin{tikzpicture}

 begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$},

 ylabel={$s$},unbounded coords=discard]

  addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});

  addplot[red,  ultra thick,domain=0:0.099] ({-0.1/(2*10*(x - 0.1))+x},x);

  addplot[red,  ultra thick,domain=0.11:1] ({-0.1/(2*10*(x - 0.1))+x},x);

 end{axis}

end{tikzpicture}

end{document}

share|improve this answer

edited 1 hour ago

answered 5 hours ago

marmotmarmot

109k5133252

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

usepackage{pgfplots}

pgfplotsset{compat=1.16}

begin{document}

begin{tikzpicture}

 begin{axis}[xmin=0,xmax=1,ymin=0,ymax=1, samples=1000, xlabel={$c$},

 ylabel={$s$},unbounded coords=discard]

  addplot[blue, ultra thick] (x,{(0.05*0.4+0.1*2*x)/(0.05+0.1*2)});

  addplot[red,  ultra thick,domain=0:0.099] ({-0.1/(2*10*(x - 0.1))+x},x);

  addplot[red,  ultra thick,domain=0.11:1] ({-0.1/(2*10*(x - 0.1))+x},x);

 end{axis}

end{tikzpicture}

end{document}

share|improve this answer

edited 1 hour ago

answered 5 hours ago

marmotmarmot

109k5133252

answered 5 hours ago

marmotmarmot

109k5133252

answered 5 hours ago

marmotmarmot

109k5133252