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how to plot complicated function

pgfplots: Plot inverse function (function of y)How to plot the function f(x) = sin(1/x)How to draw one smooth plot taking into account intervals of some functionPlot function with discontinuitycomplicated surface plot (projection and cut)How can I limit the length of a plotted function?pgfplots can not plot this function correctlyPlot a function of logarithm with PGFplotsWant to plot curve from points and want to remove axis valueshow to plot function from multiple points

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3

1

i know how to draw axis and everything else except the function here , please give me hint to plot this function

Thanks for the help

tikz-pgf pgfplots tikz-graphs

share|improve this question

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  Could you please add a minimal example of what you managed to do?
  
  – CarLaTeX
  Jun 19 at 5:03
  

  
  
  
  

add a comment | 

3

1

i know how to draw axis and everything else except the function here , please give me hint to plot this function

Thanks for the help

tikz-pgf pgfplots tikz-graphs

share|improve this question

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  Could you please add a minimal example of what you managed to do?
  
  – CarLaTeX
  Jun 19 at 5:03
  

  
  
  
  

add a comment | 

i know how to draw axis and everything else except the function here , please give me hint to plot this function

Thanks for the help

tikz-pgf pgfplots tikz-graphs

share|improve this question

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

share|improve this question

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

share|improve this question

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

asked Jun 19 at 4:59

QuintisQuintis

5944 bronze badges

2 Answers
2

active

oldest

votes

5

Is this what you want?

documentclass[tikz,border=1mm]standalone
usepackageamsmath,amssymb
begindocument
begintikzpicture[x=4cm,y=5cm]
beginscope
clip (-.2,-.2) rectangle (1.6,1.2);
draw[dashed,magenta] 
(0,0) .. controls +(0:.3) and +(181:1.75) .. (1.5,.97);
draw[blue] (0,0) .. controls +(0:.25) and +(180:1.8) .. 
(1.5,.97);
endscope

foreach i in .1,.2,...,1.5 
draw (i,0)--+(90:1mm);
foreach i in 0.3,0.6,0.9,1.2,1.5 
draw (i,0) node[below]$i$--+(90:2mm);

foreach j in .1,.2,...,1.1 
draw (0,j)--+(0:1mm);
foreach j in 0.2,0.4,0.6,0.8,1 
draw (0,j) node[left]$j$--+(0:2mm);

draw (0,1.1)--(0,0)--(1.5,0);
draw[red,dotted,thick] (0,1)--+(0:1.5);
path (0,0) node[below]$0$ node[left]$0$;

draw[blue] (.7,.7)--++(0:.4) node[right]Debye; 
draw[magenta,dashed] 
(.7,.6)--++(0:.4) node[right]Einstein;

path 
(current bounding box.west) coordinate (W)
(current bounding box.south) coordinate (S); 
path 
(W)++(90:.1) node[left=5mm,rotate=90]$dfracC_V3NK$
(S) node[below=-4mm]$T/theta$;

endtikzpicture
enddocument

share|improve this answer

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  thanks a lot , i just needed to see how to plot these functions
  
  – Quintis
  Jun 19 at 15:19
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  btw how did u exactly draw this picture without using the function ?
  
  – Quintis
  Jun 19 at 15:24
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I simply looked at you figure and use 'draw controls', controlling curve until getting similar to your figure
  
  – Black Mild
  Jun 19 at 16:00
  
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  
  One should mention that this function is known, see e.g. en.wikipedia.org/wiki/Debye_model. In the case when the function is known I personally prefer to plot it and not to reconstruct it with curves, which is fine for unknown functions.
  
  – marmot
  Jun 19 at 16:19
  

  
  
  
  

add a comment | 

11

You could declare a function and plot it. The relevant function is well known, see e.g. this Wikipedia article.

documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[
 declare function=
 cV(T,TD,a,b) =
 (a/(T/TD))^2 * exp(b/(T/TD)) / (exp(b/(T/TD))-1)^2;
 ,
]
 beginaxis[
 xlabel=$T/T_mathrmD$,
 ylabel=$c_V/(3Nk_mathrmB)$,
 legend style=at=(0.9,0.6),
 domain=0.001:1.5,
 samples=101,
 smooth,
 ]
 addplot [black] cV(x,1,1,1);
 addplot [dashed] cV(x,(pi/6)^(-1/3),1,1);
 addplot [densely dotted,red,samples=2] 1;

 legend
 Debye,
 Einstein,
 
 endaxis
endtikzpicture
enddocument

share|improve this answer

edited Jun 19 at 16:24

answered Jun 19 at 5:19

marmotmarmot

139k66 gold badges184184 silver badges336336 bronze badges

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  Oh i see so declaring function would solve everything huh ? , i appreciate a lot
  
  – Quintis
  Jun 19 at 5:22
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  @Quintis You do not have to declare it. But in this case it is worthwhile because you plot the same function twice with slightly different parameters.
  
  – marmot
  Jun 19 at 5:25
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Woow, thanks marmot! Is legend a new command of the version 1.16? Because I've never heard about it (I always use addlegendentry, pros, cons?).
  
  – manooooh
  Jun 19 at 16:36
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  @manooooh legend is slightly shorter. (Actually this was added by Stefan Pinnow, whom I thank for all edits except for the removal of tikz in documentclass[tikz,border=3.14mm]standalone since this does not only load tikz but also declares tikz to be a standalone environment, which is important when doing e.g. animations).
  
  – marmot
  Jun 19 at 16:41
  

  
  
  
  

add a comment | 

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5

Is this what you want?

documentclass[tikz,border=1mm]standalone
usepackageamsmath,amssymb
begindocument
begintikzpicture[x=4cm,y=5cm]
beginscope
clip (-.2,-.2) rectangle (1.6,1.2);
draw[dashed,magenta] 
(0,0) .. controls +(0:.3) and +(181:1.75) .. (1.5,.97);
draw[blue] (0,0) .. controls +(0:.25) and +(180:1.8) .. 
(1.5,.97);
endscope

foreach i in .1,.2,...,1.5 
draw (i,0)--+(90:1mm);
foreach i in 0.3,0.6,0.9,1.2,1.5 
draw (i,0) node[below]$i$--+(90:2mm);

foreach j in .1,.2,...,1.1 
draw (0,j)--+(0:1mm);
foreach j in 0.2,0.4,0.6,0.8,1 
draw (0,j) node[left]$j$--+(0:2mm);

draw (0,1.1)--(0,0)--(1.5,0);
draw[red,dotted,thick] (0,1)--+(0:1.5);
path (0,0) node[below]$0$ node[left]$0$;

draw[blue] (.7,.7)--++(0:.4) node[right]Debye; 
draw[magenta,dashed] 
(.7,.6)--++(0:.4) node[right]Einstein;

path 
(current bounding box.west) coordinate (W)
(current bounding box.south) coordinate (S); 
path 
(W)++(90:.1) node[left=5mm,rotate=90]$dfracC_V3NK$
(S) node[below=-4mm]$T/theta$;

endtikzpicture
enddocument

share|improve this answer

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  thanks a lot , i just needed to see how to plot these functions
  
  – Quintis
  Jun 19 at 15:19
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  btw how did u exactly draw this picture without using the function ?
  
  – Quintis
  Jun 19 at 15:24
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I simply looked at you figure and use 'draw controls', controlling curve until getting similar to your figure
  
  – Black Mild
  Jun 19 at 16:00
  
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  
  One should mention that this function is known, see e.g. en.wikipedia.org/wiki/Debye_model. In the case when the function is known I personally prefer to plot it and not to reconstruct it with curves, which is fine for unknown functions.
  
  – marmot
  Jun 19 at 16:19
  

  
  
  
  

add a comment | 

5

Is this what you want?

documentclass[tikz,border=1mm]standalone
usepackageamsmath,amssymb
begindocument
begintikzpicture[x=4cm,y=5cm]
beginscope
clip (-.2,-.2) rectangle (1.6,1.2);
draw[dashed,magenta] 
(0,0) .. controls +(0:.3) and +(181:1.75) .. (1.5,.97);
draw[blue] (0,0) .. controls +(0:.25) and +(180:1.8) .. 
(1.5,.97);
endscope

foreach i in .1,.2,...,1.5 
draw (i,0)--+(90:1mm);
foreach i in 0.3,0.6,0.9,1.2,1.5 
draw (i,0) node[below]$i$--+(90:2mm);

foreach j in .1,.2,...,1.1 
draw (0,j)--+(0:1mm);
foreach j in 0.2,0.4,0.6,0.8,1 
draw (0,j) node[left]$j$--+(0:2mm);

draw (0,1.1)--(0,0)--(1.5,0);
draw[red,dotted,thick] (0,1)--+(0:1.5);
path (0,0) node[below]$0$ node[left]$0$;

draw[blue] (.7,.7)--++(0:.4) node[right]Debye; 
draw[magenta,dashed] 
(.7,.6)--++(0:.4) node[right]Einstein;

path 
(current bounding box.west) coordinate (W)
(current bounding box.south) coordinate (S); 
path 
(W)++(90:.1) node[left=5mm,rotate=90]$dfracC_V3NK$
(S) node[below=-4mm]$T/theta$;

endtikzpicture
enddocument

share|improve this answer

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  thanks a lot , i just needed to see how to plot these functions
  
  – Quintis
  Jun 19 at 15:19
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  btw how did u exactly draw this picture without using the function ?
  
  – Quintis
  Jun 19 at 15:24
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I simply looked at you figure and use 'draw controls', controlling curve until getting similar to your figure
  
  – Black Mild
  Jun 19 at 16:00
  
  

  
  
  
  


• 
  
  
  

  
  5
  

  
  
  
  
  
  

  
  
  One should mention that this function is known, see e.g. en.wikipedia.org/wiki/Debye_model. In the case when the function is known I personally prefer to plot it and not to reconstruct it with curves, which is fine for unknown functions.
  
  – marmot
  Jun 19 at 16:19
  

  
  
  
  

add a comment | 

Is this what you want?

documentclass[tikz,border=1mm]standalone
usepackageamsmath,amssymb
begindocument
begintikzpicture[x=4cm,y=5cm]
beginscope
clip (-.2,-.2) rectangle (1.6,1.2);
draw[dashed,magenta] 
(0,0) .. controls +(0:.3) and +(181:1.75) .. (1.5,.97);
draw[blue] (0,0) .. controls +(0:.25) and +(180:1.8) .. 
(1.5,.97);
endscope

foreach i in .1,.2,...,1.5 
draw (i,0)--+(90:1mm);
foreach i in 0.3,0.6,0.9,1.2,1.5 
draw (i,0) node[below]$i$--+(90:2mm);

foreach j in .1,.2,...,1.1 
draw (0,j)--+(0:1mm);
foreach j in 0.2,0.4,0.6,0.8,1 
draw (0,j) node[left]$j$--+(0:2mm);

draw (0,1.1)--(0,0)--(1.5,0);
draw[red,dotted,thick] (0,1)--+(0:1.5);
path (0,0) node[below]$0$ node[left]$0$;

draw[blue] (.7,.7)--++(0:.4) node[right]Debye; 
draw[magenta,dashed] 
(.7,.6)--++(0:.4) node[right]Einstein;

path 
(current bounding box.west) coordinate (W)
(current bounding box.south) coordinate (S); 
path 
(W)++(90:.1) node[left=5mm,rotate=90]$dfracC_V3NK$
(S) node[below=-4mm]$T/theta$;

endtikzpicture
enddocument

share|improve this answer

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

documentclass[tikz,border=1mm]standalone
usepackageamsmath,amssymb
begindocument
begintikzpicture[x=4cm,y=5cm]
beginscope
clip (-.2,-.2) rectangle (1.6,1.2);
draw[dashed,magenta] 
(0,0) .. controls +(0:.3) and +(181:1.75) .. (1.5,.97);
draw[blue] (0,0) .. controls +(0:.25) and +(180:1.8) .. 
(1.5,.97);
endscope

foreach i in .1,.2,...,1.5 
draw (i,0)--+(90:1mm);
foreach i in 0.3,0.6,0.9,1.2,1.5 
draw (i,0) node[below]$i$--+(90:2mm);

foreach j in .1,.2,...,1.1 
draw (0,j)--+(0:1mm);
foreach j in 0.2,0.4,0.6,0.8,1 
draw (0,j) node[left]$j$--+(0:2mm);

draw (0,1.1)--(0,0)--(1.5,0);
draw[red,dotted,thick] (0,1)--+(0:1.5);
path (0,0) node[below]$0$ node[left]$0$;

draw[blue] (.7,.7)--++(0:.4) node[right]Debye; 
draw[magenta,dashed] 
(.7,.6)--++(0:.4) node[right]Einstein;

path 
(current bounding box.west) coordinate (W)
(current bounding box.south) coordinate (S); 
path 
(W)++(90:.1) node[left=5mm,rotate=90]$dfracC_V3NK$
(S) node[below=-4mm]$T/theta$;

endtikzpicture
enddocument

share|improve this answer

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

answered Jun 19 at 10:53

Black MildBlack Mild

93377 silver badges1212 bronze badges

11

You could declare a function and plot it. The relevant function is well known, see e.g. this Wikipedia article.

documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[
 declare function=
 cV(T,TD,a,b) =
 (a/(T/TD))^2 * exp(b/(T/TD)) / (exp(b/(T/TD))-1)^2;
 ,
]
 beginaxis[
 xlabel=$T/T_mathrmD$,
 ylabel=$c_V/(3Nk_mathrmB)$,
 legend style=at=(0.9,0.6),
 domain=0.001:1.5,
 samples=101,
 smooth,
 ]
 addplot [black] cV(x,1,1,1);
 addplot [dashed] cV(x,(pi/6)^(-1/3),1,1);
 addplot [densely dotted,red,samples=2] 1;

 legend
 Debye,
 Einstein,
 
 endaxis
endtikzpicture
enddocument

share|improve this answer

edited Jun 19 at 16:24

answered Jun 19 at 5:19

marmotmarmot

139k66 gold badges184184 silver badges336336 bronze badges

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  Oh i see so declaring function would solve everything huh ? , i appreciate a lot
  
  – Quintis
  Jun 19 at 5:22
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  @Quintis You do not have to declare it. But in this case it is worthwhile because you plot the same function twice with slightly different parameters.
  
  – marmot
  Jun 19 at 5:25
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Woow, thanks marmot! Is legend a new command of the version 1.16? Because I've never heard about it (I always use addlegendentry, pros, cons?).
  
  – manooooh
  Jun 19 at 16:36
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  @manooooh legend is slightly shorter. (Actually this was added by Stefan Pinnow, whom I thank for all edits except for the removal of tikz in documentclass[tikz,border=3.14mm]standalone since this does not only load tikz but also declares tikz to be a standalone environment, which is important when doing e.g. animations).
  
  – marmot
  Jun 19 at 16:41
  

  
  
  
  

add a comment | 

11

You could declare a function and plot it. The relevant function is well known, see e.g. this Wikipedia article.

documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[
 declare function=
 cV(T,TD,a,b) =
 (a/(T/TD))^2 * exp(b/(T/TD)) / (exp(b/(T/TD))-1)^2;
 ,
]
 beginaxis[
 xlabel=$T/T_mathrmD$,
 ylabel=$c_V/(3Nk_mathrmB)$,
 legend style=at=(0.9,0.6),
 domain=0.001:1.5,
 samples=101,
 smooth,
 ]
 addplot [black] cV(x,1,1,1);
 addplot [dashed] cV(x,(pi/6)^(-1/3),1,1);
 addplot [densely dotted,red,samples=2] 1;

 legend
 Debye,
 Einstein,
 
 endaxis
endtikzpicture
enddocument

share|improve this answer

edited Jun 19 at 16:24

answered Jun 19 at 5:19

marmotmarmot

139k66 gold badges184184 silver badges336336 bronze badges

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  Oh i see so declaring function would solve everything huh ? , i appreciate a lot
  
  – Quintis
  Jun 19 at 5:22
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  @Quintis You do not have to declare it. But in this case it is worthwhile because you plot the same function twice with slightly different parameters.
  
  – marmot
  Jun 19 at 5:25
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Woow, thanks marmot! Is legend a new command of the version 1.16? Because I've never heard about it (I always use addlegendentry, pros, cons?).
  
  – manooooh
  Jun 19 at 16:36
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  
  @manooooh legend is slightly shorter. (Actually this was added by Stefan Pinnow, whom I thank for all edits except for the removal of tikz in documentclass[tikz,border=3.14mm]standalone since this does not only load tikz but also declares tikz to be a standalone environment, which is important when doing e.g. animations).
  
  – marmot
  Jun 19 at 16:41
  

  
  
  
  

add a comment | 

You could declare a function and plot it. The relevant function is well known, see e.g. this Wikipedia article.

documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[
 declare function=
 cV(T,TD,a,b) =
 (a/(T/TD))^2 * exp(b/(T/TD)) / (exp(b/(T/TD))-1)^2;
 ,
]
 beginaxis[
 xlabel=$T/T_mathrmD$,
 ylabel=$c_V/(3Nk_mathrmB)$,
 legend style=at=(0.9,0.6),
 domain=0.001:1.5,
 samples=101,
 smooth,
 ]
 addplot [black] cV(x,1,1,1);
 addplot [dashed] cV(x,(pi/6)^(-1/3),1,1);
 addplot [densely dotted,red,samples=2] 1;

 legend
 Debye,
 Einstein,
 
 endaxis
endtikzpicture
enddocument

share|improve this answer

edited Jun 19 at 16:24

answered Jun 19 at 5:19

marmotmarmot

139k66 gold badges184184 silver badges336336 bronze badges

documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[
 declare function=
 cV(T,TD,a,b) =
 (a/(T/TD))^2 * exp(b/(T/TD)) / (exp(b/(T/TD))-1)^2;
 ,
]
 beginaxis[
 xlabel=$T/T_mathrmD$,
 ylabel=$c_V/(3Nk_mathrmB)$,
 legend style=at=(0.9,0.6),
 domain=0.001:1.5,
 samples=101,
 smooth,
 ]
 addplot [black] cV(x,1,1,1);
 addplot [dashed] cV(x,(pi/6)^(-1/3),1,1);
 addplot [densely dotted,red,samples=2] 1;

 legend
 Debye,
 Einstein,
 
 endaxis
endtikzpicture
enddocument

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edited Jun 19 at 16:24

answered Jun 19 at 5:19

marmotmarmot

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answered Jun 19 at 5:19

marmotmarmot

139k66 gold badges184184 silver badges336336 bronze badges

answered Jun 19 at 5:19

marmotmarmot

139k66 gold badges184184 silver badges336336 bronze badges