Mixing
Plotting multiple functions in pgfplots
2
I have a function that I want to graph. However, there are 10 variations of it with 5 different constants each. I do not want to simply plug in a number 50 times. Is there an easier way to do this? Also, the graph comes out strangely. Is there an alternative to pgfplotsthat I use to generate an image and then just use includegraphics, preferably something with vector graphics so that it is of the highest quality. Thank you.
documentclass[letterpaper]{article}
usepackage{pgfplots} pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
pgfplots graphics
asked Jan 28 at 4:45
IlyankorIlyankor
1138
add a comment |
2
I have a function that I want to graph. However, there are 10 variations of it with 5 different constants each. I do not want to simply plug in a number 50 times. Is there an easier way to do this? Also, the graph comes out strangely. Is there an alternative to pgfplotsthat I use to generate an image and then just use includegraphics, preferably something with vector graphics so that it is of the highest quality. Thank you.
documentclass[letterpaper]{article}
usepackage{pgfplots} pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
pgfplots graphics
asked Jan 28 at 4:45
IlyankorIlyankor
1138
1
Yes, that's whatdeclare functionis for.
– marmot
Jan 28 at 4:52
@marmot Thank you, but an example please? Also any suggestions for making the graph look better or other options? Edit. I spoke too soon. I think I can figure out thedeclare function. Though example would be nice in case I screw it up.
– Ilyankor
Jan 28 at 4:54
Off-topic. There is no difference between^primeand'; the latter makes the code easy to write.
– manooooh
Jan 28 at 6:50
add a comment |
2
2
2
I have a function that I want to graph. However, there are 10 variations of it with 5 different constants each. I do not want to simply plug in a number 50 times. Is there an easier way to do this? Also, the graph comes out strangely. Is there an alternative to pgfplotsthat I use to generate an image and then just use includegraphics, preferably something with vector graphics so that it is of the highest quality. Thank you.
documentclass[letterpaper]{article}
usepackage{pgfplots} pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
pgfplots graphics
asked Jan 28 at 4:45
IlyankorIlyankor
1138
I have a function that I want to graph. However, there are 10 variations of it with 5 different constants each. I do not want to simply plug in a number 50 times. Is there an easier way to do this? Also, the graph comes out strangely. Is there an alternative to pgfplotsthat I use to generate an image and then just use includegraphics, preferably something with vector graphics so that it is of the highest quality. Thank you.
documentclass[letterpaper]{article}
usepackage{pgfplots} pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
pgfplots graphics
pgfplots graphics
asked Jan 28 at 4:45
IlyankorIlyankor
1138
asked Jan 28 at 4:45
IlyankorIlyankor
1138
asked Jan 28 at 4:45
IlyankorIlyankor
1138
asked Jan 28 at 4:45
IlyankorIlyankor
1138
asked Jan 28 at 4:45
IlyankorIlyankor
1138
1138
1
Yes, that's whatdeclare functionis for.
– marmot
Jan 28 at 4:52
@marmot Thank you, but an example please? Also any suggestions for making the graph look better or other options? Edit. I spoke too soon. I think I can figure out thedeclare function. Though example would be nice in case I screw it up.
– Ilyankor
Jan 28 at 4:54
Off-topic. There is no difference between^primeand'; the latter makes the code easy to write.
– manooooh
Jan 28 at 6:50
add a comment |
1
Yes, that's whatdeclare functionis for.
– marmot
Jan 28 at 4:52
@marmot Thank you, but an example please? Also any suggestions for making the graph look better or other options? Edit. I spoke too soon. I think I can figure out thedeclare function. Though example would be nice in case I screw it up.
– Ilyankor
Jan 28 at 4:54
Off-topic. There is no difference between^primeand'; the latter makes the code easy to write.
– manooooh
Jan 28 at 6:50
1
1
Yes, that's what
declare function is for.– marmot
Jan 28 at 4:52
Yes, that's what
declare function is for.– marmot
Jan 28 at 4:52
@marmot Thank you, but an example please? Also any suggestions for making the graph look better or other options? Edit. I spoke too soon. I think I can figure out the
declare function. Though example would be nice in case I screw it up.– Ilyankor
Jan 28 at 4:54
@marmot Thank you, but an example please? Also any suggestions for making the graph look better or other options? Edit. I spoke too soon. I think I can figure out the
declare function. Though example would be nice in case I screw it up.– Ilyankor
Jan 28 at 4:54
Off-topic. There is no difference between
^prime and '; the latter makes the code easy to write.– manooooh
Jan 28 at 6:50
Off-topic. There is no difference between
^prime and '; the latter makes the code easy to write.– manooooh
Jan 28 at 6:50
add a comment |
1 Answer
1
active
oldest
votes
2
You can declare functions with the key declare function. (The TikZ library math has additional means to define functions, but this does not harmonize that well with pgfplots because pgfplots uses fpu.) Here is an example. This reproduces your plot with a declared function.
documentclass[letterpaper]{article}
usepackage{pgfplots}
pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}[declare function={f(x,alpha,beta,gamma,lambda,phi)=%
(lambda*phi*( beta - alpha ))/(x*pow( 1 + pow( x/gamma,-phi),lambda)
*( 1 + pow(x/gamma,phi)));}]
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]
{f(x,23.3,42.2,3.15,1.86,3.38)};
%addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]
{f(x,23.8,43.6,1.38,12,3.01)};
%addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
answered Jan 28 at 5:04
marmotmarmot
112k5143268
add a comment |
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1 Answer
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1 Answer
1
active
oldest
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oldest
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active
oldest
votes
2
You can declare functions with the key declare function. (The TikZ library math has additional means to define functions, but this does not harmonize that well with pgfplots because pgfplots uses fpu.) Here is an example. This reproduces your plot with a declared function.
documentclass[letterpaper]{article}
usepackage{pgfplots}
pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}[declare function={f(x,alpha,beta,gamma,lambda,phi)=%
(lambda*phi*( beta - alpha ))/(x*pow( 1 + pow( x/gamma,-phi),lambda)
*( 1 + pow(x/gamma,phi)));}]
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]
{f(x,23.3,42.2,3.15,1.86,3.38)};
%addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]
{f(x,23.8,43.6,1.38,12,3.01)};
%addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
answered Jan 28 at 5:04
marmotmarmot
112k5143268
add a comment |
2
You can declare functions with the key declare function. (The TikZ library math has additional means to define functions, but this does not harmonize that well with pgfplots because pgfplots uses fpu.) Here is an example. This reproduces your plot with a declared function.
documentclass[letterpaper]{article}
usepackage{pgfplots}
pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}[declare function={f(x,alpha,beta,gamma,lambda,phi)=%
(lambda*phi*( beta - alpha ))/(x*pow( 1 + pow( x/gamma,-phi),lambda)
*( 1 + pow(x/gamma,phi)));}]
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]
{f(x,23.3,42.2,3.15,1.86,3.38)};
%addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]
{f(x,23.8,43.6,1.38,12,3.01)};
%addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
answered Jan 28 at 5:04
marmotmarmot
112k5143268
add a comment |
2
2
2
You can declare functions with the key declare function. (The TikZ library math has additional means to define functions, but this does not harmonize that well with pgfplots because pgfplots uses fpu.) Here is an example. This reproduces your plot with a declared function.
documentclass[letterpaper]{article}
usepackage{pgfplots}
pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}[declare function={f(x,alpha,beta,gamma,lambda,phi)=%
(lambda*phi*( beta - alpha ))/(x*pow( 1 + pow( x/gamma,-phi),lambda)
*( 1 + pow(x/gamma,phi)));}]
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]
{f(x,23.3,42.2,3.15,1.86,3.38)};
%addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]
{f(x,23.8,43.6,1.38,12,3.01)};
%addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
answered Jan 28 at 5:04
marmotmarmot
112k5143268
You can declare functions with the key declare function. (The TikZ library math has additional means to define functions, but this does not harmonize that well with pgfplots because pgfplots uses fpu.) Here is an example. This reproduces your plot with a declared function.
documentclass[letterpaper]{article}
usepackage{pgfplots}
pgfplotsset{width=10cm,compat=1.16}
begin{document}
[ y^{prime} ( t ) = frac{lambda phi ( beta - alpha )}{t left[ 1 + ( t/gamma)^{-phi} right]^lambda left[ 1 + (t/gamma)^{phi} right]} ]
begin{figure}[htbp!]
centering
begin{tikzpicture}[declare function={f(x,alpha,beta,gamma,lambda,phi)=%
(lambda*phi*( beta - alpha ))/(x*pow( 1 + pow( x/gamma,-phi),lambda)
*( 1 + pow(x/gamma,phi)));}]
begin{axis}[
legend pos=north east,
title = {},
xlabel = {time},
ylabel = {temperature},
xmin = 0, xmax = 15,
ymin = 0, ymax = 8,
xtick = {0, 5, 10, 15},
ytick = {0, 2, 4, 6, 8},
]
addplot[black, no marks, domain=0.01:15, smooth]
{f(x,23.3,42.2,3.15,1.86,3.38)};
%addplot[black, no marks, domain=0.01:15, smooth]{(1.86*3.38*(42.2 - 23.3))/(x*(1 + (x/3.15)^(-3.38))^(1.86)*(1 + (x/3.15)^(3.38)))};
addlegendentry{fitted function}
addplot[red, no marks, domain=0.01:15, smooth]
{f(x,23.8,43.6,1.38,12,3.01)};
%addplot[red, no marks, domain=0.01:15, smooth]{(12*3.01*(43.6 - 23.8))/(x*(1 + (x/1.38)^(-3.01))^(12)*(1 + (x/1.38)^(3.01)))};
addlegendentry{fitted function2}
end{axis}
end{tikzpicture}
end{figure}
end{document}
answered Jan 28 at 5:04
marmotmarmot
112k5143268
edited Jan 28 at 5:56
answered Jan 28 at 5:04
marmotmarmot
112k5143268
answered Jan 28 at 5:04
marmotmarmot
112k5143268
answered Jan 28 at 5:04
marmotmarmot
112k5143268
112k5143268
add a comment |
add a comment |
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Yes, that's what
declare functionis for.– marmot
Jan 28 at 4:52
@marmot Thank you, but an example please? Also any suggestions for making the graph look better or other options? Edit. I spoke too soon. I think I can figure out the
declare function. Though example would be nice in case I screw it up.– Ilyankor
Jan 28 at 4:54
Off-topic. There is no difference between
^primeand'; the latter makes the code easy to write.– manooooh
Jan 28 at 6:50