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pgfplots: How to draw a tangent graph below two others?
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)plotting two time series with boundsGrouped bar chartHow do i get the x axis on top but keep a line on the bottomHow to prevent rounded and duplicated tick labels in pgfplots with fixed precision?How to hide empty (value 0) ybars with pgfplots?Show mark labels near marks and not centered in ybar interaval graphDrawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingpgfplots: percentage in matrix plotHow to draw a square and its diagonals with arrows?PGFPlots - Fill area between two curves
Assumed I want to draw three simple graphs based on the following illustration:
How can I plot those three graphs? I've tried to create something like this:
Minimum Working Example (MWE):
documentclassstandalone
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument
Screenshot of the current state:
Description of the issue:
However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.
How to do that?
tikz-pgf pgfplots plot graphs polynomials
asked Apr 1 at 19:34
DaveDave
1,268619
add a comment |
Assumed I want to draw three simple graphs based on the following illustration:
How can I plot those three graphs? I've tried to create something like this:
Minimum Working Example (MWE):
documentclassstandalone
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument
Screenshot of the current state:
Description of the issue:
However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.
How to do that?
tikz-pgf pgfplots plot graphs polynomials
asked Apr 1 at 19:34
DaveDave
1,268619
3
@close-voter: Please explain in a comment your reason for voting to close!
– Kurt
Apr 1 at 20:15
I accept the Kurt's comment.
– Sebastiano
Apr 1 at 20:39
add a comment |
Assumed I want to draw three simple graphs based on the following illustration:
How can I plot those three graphs? I've tried to create something like this:
Minimum Working Example (MWE):
documentclassstandalone
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument
Screenshot of the current state:
Description of the issue:
However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.
How to do that?
tikz-pgf pgfplots plot graphs polynomials
asked Apr 1 at 19:34
DaveDave
1,268619
Assumed I want to draw three simple graphs based on the following illustration:
How can I plot those three graphs? I've tried to create something like this:
Minimum Working Example (MWE):
documentclassstandalone
usepackagepgfplots
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument
Screenshot of the current state:
Description of the issue:
However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.
How to do that?
tikz-pgf pgfplots plot graphs polynomials
tikz-pgf pgfplots plot graphs polynomials
asked Apr 1 at 19:34
DaveDave
1,268619
asked Apr 1 at 19:34
DaveDave
1,268619
edited Apr 1 at 20:04
Dave
asked Apr 1 at 19:34
DaveDave
1,268619
asked Apr 1 at 19:34
DaveDave
1,268619
asked Apr 1 at 19:34
DaveDave
1,268619
1,268619
3
@close-voter: Please explain in a comment your reason for voting to close!
– Kurt
Apr 1 at 20:15
I accept the Kurt's comment.
– Sebastiano
Apr 1 at 20:39
add a comment |
3
@close-voter: Please explain in a comment your reason for voting to close!
– Kurt
Apr 1 at 20:15
I accept the Kurt's comment.
– Sebastiano
Apr 1 at 20:39
3
3
@close-voter: Please explain in a comment your reason for voting to close!
– Kurt
Apr 1 at 20:15
@close-voter: Please explain in a comment your reason for voting to close!
– Kurt
Apr 1 at 20:15
I accept the Kurt's comment.
– Sebastiano
Apr 1 at 20:39
I accept the Kurt's comment.
– Sebastiano
Apr 1 at 20:39
add a comment |
2 Answers
2
active
oldest
votes
You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.
documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument
If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with
addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));
to get
Slightly more general, one can use the exponent a (does not have to be an integer):
foreach a in 1,...,5
addplot+[no marks, samples=100] (f1(x)^a*f2(x)^a/(f1(x)^a+f2(x)^a))^(1/a);
answered Apr 1 at 20:36
StefanHStefanH
11k1920
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
add a comment |
Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)
documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument
answered Apr 1 at 20:19
marmotmarmot
118k6152286
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.
documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument
If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with
addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));
to get
Slightly more general, one can use the exponent a (does not have to be an integer):
foreach a in 1,...,5
addplot+[no marks, samples=100] (f1(x)^a*f2(x)^a/(f1(x)^a+f2(x)^a))^(1/a);
answered Apr 1 at 20:36
StefanHStefanH
11k1920
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
add a comment |
You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.
documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument
If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with
addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));
to get
Slightly more general, one can use the exponent a (does not have to be an integer):
foreach a in 1,...,5
addplot+[no marks, samples=100] (f1(x)^a*f2(x)^a/(f1(x)^a+f2(x)^a))^(1/a);
answered Apr 1 at 20:36
StefanHStefanH
11k1920
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
add a comment |
You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.
documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument
If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with
addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));
to get
Slightly more general, one can use the exponent a (does not have to be an integer):
foreach a in 1,...,5
addplot+[no marks, samples=100] (f1(x)^a*f2(x)^a/(f1(x)^a+f2(x)^a))^(1/a);
answered Apr 1 at 20:36
StefanHStefanH
11k1920
You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.
documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument
If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with
addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));
to get
Slightly more general, one can use the exponent a (does not have to be an integer):
foreach a in 1,...,5
addplot+[no marks, samples=100] (f1(x)^a*f2(x)^a/(f1(x)^a+f2(x)^a))^(1/a);
answered Apr 1 at 20:36
StefanHStefanH
11k1920
edited Apr 2 at 7:05
answered Apr 1 at 20:36
StefanHStefanH
11k1920
answered Apr 1 at 20:36
StefanHStefanH
11k1920
answered Apr 1 at 20:36
StefanHStefanH
11k1920
11k1920
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
add a comment |
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
The lower one looks perfect, thank you very much!!
– Dave
Apr 1 at 21:13
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
Your last edit is simply perfect! Thank you so much!
– Dave
Apr 6 at 18:29
add a comment |
Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)
documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument
answered Apr 1 at 20:19
marmotmarmot
118k6152286
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
add a comment |
Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)
documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument
answered Apr 1 at 20:19
marmotmarmot
118k6152286
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
add a comment |
Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)
documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument
answered Apr 1 at 20:19
marmotmarmot
118k6152286
Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)
documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument
answered Apr 1 at 20:19
marmotmarmot
118k6152286
answered Apr 1 at 20:19
marmotmarmot
118k6152286
answered Apr 1 at 20:19
marmotmarmot
118k6152286
answered Apr 1 at 20:19
marmotmarmot
118k6152286
118k6152286
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
add a comment |
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?
– Dave
Apr 1 at 21:14
add a comment |
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3
@close-voter: Please explain in a comment your reason for voting to close!
– Kurt
Apr 1 at 20:15
I accept the Kurt's comment.
– Sebastiano
Apr 1 at 20:39