Size problems when plotting xy/(x^2+2y^2)
Clash Royale CLAN TAG#URR8PPP
I would like to plot the funtion xy/(x^2+2y^2) using PGFPlots. Here is what I want:
Please consider this MWE:
documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackage[a4paper,margin=1in,footskip=0.25in]geometry
usepackageamssymb
usepackageamsmath
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begincenter
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);]
beginaxis [
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=-1:1,domain y=-1:1,samples=61, samples y=61] f(x,y);;
endaxis
endtikzpicture
endcenter
enddocument
The MWE output has an incredible big zoom, so I would like to resize the plot but not using scale
but another commands, like enlarge limits
. However, all the results are in vain; I can not reproduce the visual appearance of what I want.
Thanks!!
tikz-pgf
|
show 5 more comments
I would like to plot the funtion xy/(x^2+2y^2) using PGFPlots. Here is what I want:
Please consider this MWE:
documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackage[a4paper,margin=1in,footskip=0.25in]geometry
usepackageamssymb
usepackageamsmath
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begincenter
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);]
beginaxis [
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=-1:1,domain y=-1:1,samples=61, samples y=61] f(x,y);;
endaxis
endtikzpicture
endcenter
enddocument
The MWE output has an incredible big zoom, so I would like to resize the plot but not using scale
but another commands, like enlarge limits
. However, all the results are in vain; I can not reproduce the visual appearance of what I want.
Thanks!!
tikz-pgf
1
Are you sure you want to plot the function in this way? If you use polar coordinates in the x-y plane,x=r cos(phi)
andy=r sin(phi)
, you see that the function does not depend onr
but only on the angle. This explains the behavior at 0, where the function is not well-defined. And otherwise the function depends only on one variable, so I am wondering if you would be better off if you plotted a function of one variable only, or at least use a different parametrization.
– marmot
Feb 24 at 7:02
@marmot please see the edit. The function has a "normal" behaviour when changingdomain y=-1.2:1
todomain y=-1:1
. If you want to use change of variables go ahead :). Do you know how to "enlarge" the axis without rescaling the entire function in order to make it a little more bigger?
– manooooh
Feb 24 at 7:05
1
Normally you can setwidth=15cm
or something like this. Of course, withaxis equal image,
one needs to be a bit careful. What I meant to say is that the function is not well-defined atx=y=0
and otherwise only a function that depends on one variable, not on two. You see this actually rather well in the upper plot.
– marmot
Feb 24 at 7:11
1
I need to sleep so I will just post some 1d plot.
– marmot
Feb 24 at 7:28
1
Please do not alter the question that essentially by editing. It is much better to ask a new question.
– TeXnician
Feb 24 at 7:45
|
show 5 more comments
I would like to plot the funtion xy/(x^2+2y^2) using PGFPlots. Here is what I want:
Please consider this MWE:
documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackage[a4paper,margin=1in,footskip=0.25in]geometry
usepackageamssymb
usepackageamsmath
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begincenter
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);]
beginaxis [
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=-1:1,domain y=-1:1,samples=61, samples y=61] f(x,y);;
endaxis
endtikzpicture
endcenter
enddocument
The MWE output has an incredible big zoom, so I would like to resize the plot but not using scale
but another commands, like enlarge limits
. However, all the results are in vain; I can not reproduce the visual appearance of what I want.
Thanks!!
tikz-pgf
I would like to plot the funtion xy/(x^2+2y^2) using PGFPlots. Here is what I want:
Please consider this MWE:
documentclassarticle
usepackage[english]babel
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackage[a4paper,margin=1in,footskip=0.25in]geometry
usepackageamssymb
usepackageamsmath
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begincenter
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);]
beginaxis [
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=-1:1,domain y=-1:1,samples=61, samples y=61] f(x,y);;
endaxis
endtikzpicture
endcenter
enddocument
The MWE output has an incredible big zoom, so I would like to resize the plot but not using scale
but another commands, like enlarge limits
. However, all the results are in vain; I can not reproduce the visual appearance of what I want.
Thanks!!
tikz-pgf
tikz-pgf
edited Feb 24 at 7:57
manooooh
asked Feb 24 at 6:34
manoooohmanooooh
1,1421517
1,1421517
1
Are you sure you want to plot the function in this way? If you use polar coordinates in the x-y plane,x=r cos(phi)
andy=r sin(phi)
, you see that the function does not depend onr
but only on the angle. This explains the behavior at 0, where the function is not well-defined. And otherwise the function depends only on one variable, so I am wondering if you would be better off if you plotted a function of one variable only, or at least use a different parametrization.
– marmot
Feb 24 at 7:02
@marmot please see the edit. The function has a "normal" behaviour when changingdomain y=-1.2:1
todomain y=-1:1
. If you want to use change of variables go ahead :). Do you know how to "enlarge" the axis without rescaling the entire function in order to make it a little more bigger?
– manooooh
Feb 24 at 7:05
1
Normally you can setwidth=15cm
or something like this. Of course, withaxis equal image,
one needs to be a bit careful. What I meant to say is that the function is not well-defined atx=y=0
and otherwise only a function that depends on one variable, not on two. You see this actually rather well in the upper plot.
– marmot
Feb 24 at 7:11
1
I need to sleep so I will just post some 1d plot.
– marmot
Feb 24 at 7:28
1
Please do not alter the question that essentially by editing. It is much better to ask a new question.
– TeXnician
Feb 24 at 7:45
|
show 5 more comments
1
Are you sure you want to plot the function in this way? If you use polar coordinates in the x-y plane,x=r cos(phi)
andy=r sin(phi)
, you see that the function does not depend onr
but only on the angle. This explains the behavior at 0, where the function is not well-defined. And otherwise the function depends only on one variable, so I am wondering if you would be better off if you plotted a function of one variable only, or at least use a different parametrization.
– marmot
Feb 24 at 7:02
@marmot please see the edit. The function has a "normal" behaviour when changingdomain y=-1.2:1
todomain y=-1:1
. If you want to use change of variables go ahead :). Do you know how to "enlarge" the axis without rescaling the entire function in order to make it a little more bigger?
– manooooh
Feb 24 at 7:05
1
Normally you can setwidth=15cm
or something like this. Of course, withaxis equal image,
one needs to be a bit careful. What I meant to say is that the function is not well-defined atx=y=0
and otherwise only a function that depends on one variable, not on two. You see this actually rather well in the upper plot.
– marmot
Feb 24 at 7:11
1
I need to sleep so I will just post some 1d plot.
– marmot
Feb 24 at 7:28
1
Please do not alter the question that essentially by editing. It is much better to ask a new question.
– TeXnician
Feb 24 at 7:45
1
1
Are you sure you want to plot the function in this way? If you use polar coordinates in the x-y plane,
x=r cos(phi)
and y=r sin(phi)
, you see that the function does not depend on r
but only on the angle. This explains the behavior at 0, where the function is not well-defined. And otherwise the function depends only on one variable, so I am wondering if you would be better off if you plotted a function of one variable only, or at least use a different parametrization.– marmot
Feb 24 at 7:02
Are you sure you want to plot the function in this way? If you use polar coordinates in the x-y plane,
x=r cos(phi)
and y=r sin(phi)
, you see that the function does not depend on r
but only on the angle. This explains the behavior at 0, where the function is not well-defined. And otherwise the function depends only on one variable, so I am wondering if you would be better off if you plotted a function of one variable only, or at least use a different parametrization.– marmot
Feb 24 at 7:02
@marmot please see the edit. The function has a "normal" behaviour when changing
domain y=-1.2:1
to domain y=-1:1
. If you want to use change of variables go ahead :). Do you know how to "enlarge" the axis without rescaling the entire function in order to make it a little more bigger?– manooooh
Feb 24 at 7:05
@marmot please see the edit. The function has a "normal" behaviour when changing
domain y=-1.2:1
to domain y=-1:1
. If you want to use change of variables go ahead :). Do you know how to "enlarge" the axis without rescaling the entire function in order to make it a little more bigger?– manooooh
Feb 24 at 7:05
1
1
Normally you can set
width=15cm
or something like this. Of course, with axis equal image,
one needs to be a bit careful. What I meant to say is that the function is not well-defined at x=y=0
and otherwise only a function that depends on one variable, not on two. You see this actually rather well in the upper plot.– marmot
Feb 24 at 7:11
Normally you can set
width=15cm
or something like this. Of course, with axis equal image,
one needs to be a bit careful. What I meant to say is that the function is not well-defined at x=y=0
and otherwise only a function that depends on one variable, not on two. You see this actually rather well in the upper plot.– marmot
Feb 24 at 7:11
1
1
I need to sleep so I will just post some 1d plot.
– marmot
Feb 24 at 7:28
I need to sleep so I will just post some 1d plot.
– marmot
Feb 24 at 7:28
1
1
Please do not alter the question that essentially by editing. It is much better to ask a new question.
– TeXnician
Feb 24 at 7:45
Please do not alter the question that essentially by editing. It is much better to ask a new question.
– TeXnician
Feb 24 at 7:45
|
show 5 more comments
1 Answer
1
active
oldest
votes
Not an answer to the (LaTeX part of the) question. However, if you use polar coordinates in the x-y plane, x = r cos(ϕ) and y = r sin(ϕ), you see that the function does not depend on r but only on the angle. So away from the origin x = y = 0 all the information is already in a one-dimensional plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture[declare function=fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis
addplot[domain=0:360,smooth,samples=101] fan(x);
endaxis
endtikzpicture
enddocument
And this yields a 3d smooth plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);
fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis [width=18cm,
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
data cs=polar,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=0:360,
domain y=0:1,samples=61, samples y=21,
z buffer=sort] fan(x);
addlegendentry$f(x,y)$
endaxis
endtikzpicture
enddocument
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
add a comment |
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1 Answer
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1 Answer
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active
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oldest
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oldest
votes
Not an answer to the (LaTeX part of the) question. However, if you use polar coordinates in the x-y plane, x = r cos(ϕ) and y = r sin(ϕ), you see that the function does not depend on r but only on the angle. So away from the origin x = y = 0 all the information is already in a one-dimensional plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture[declare function=fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis
addplot[domain=0:360,smooth,samples=101] fan(x);
endaxis
endtikzpicture
enddocument
And this yields a 3d smooth plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);
fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis [width=18cm,
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
data cs=polar,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=0:360,
domain y=0:1,samples=61, samples y=21,
z buffer=sort] fan(x);
addlegendentry$f(x,y)$
endaxis
endtikzpicture
enddocument
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
add a comment |
Not an answer to the (LaTeX part of the) question. However, if you use polar coordinates in the x-y plane, x = r cos(ϕ) and y = r sin(ϕ), you see that the function does not depend on r but only on the angle. So away from the origin x = y = 0 all the information is already in a one-dimensional plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture[declare function=fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis
addplot[domain=0:360,smooth,samples=101] fan(x);
endaxis
endtikzpicture
enddocument
And this yields a 3d smooth plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);
fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis [width=18cm,
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
data cs=polar,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=0:360,
domain y=0:1,samples=61, samples y=21,
z buffer=sort] fan(x);
addlegendentry$f(x,y)$
endaxis
endtikzpicture
enddocument
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
add a comment |
Not an answer to the (LaTeX part of the) question. However, if you use polar coordinates in the x-y plane, x = r cos(ϕ) and y = r sin(ϕ), you see that the function does not depend on r but only on the angle. So away from the origin x = y = 0 all the information is already in a one-dimensional plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture[declare function=fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis
addplot[domain=0:360,smooth,samples=101] fan(x);
endaxis
endtikzpicture
enddocument
And this yields a 3d smooth plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);
fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis [width=18cm,
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
data cs=polar,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=0:360,
domain y=0:1,samples=61, samples y=21,
z buffer=sort] fan(x);
addlegendentry$f(x,y)$
endaxis
endtikzpicture
enddocument
Not an answer to the (LaTeX part of the) question. However, if you use polar coordinates in the x-y plane, x = r cos(ϕ) and y = r sin(ϕ), you see that the function does not depend on r but only on the angle. So away from the origin x = y = 0 all the information is already in a one-dimensional plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture[declare function=fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis
addplot[domain=0:360,smooth,samples=101] fan(x);
endaxis
endtikzpicture
enddocument
And this yields a 3d smooth plot.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.15
pgfplotssetsoldot/.style=color=black,only marks,mark=*
pgfplotssetholdot/.style=color=red,fill=white,very thick,only marks,mark=*
begindocument
begintikzpicture[declare function=f(x,y)=(x*y)/(x*x+2*y*y);
fan(t)=-(sin(2*t)/(-3 + cos(2*t)));]
beginaxis [width=18cm,
axis on top,
axis equal image,
axis lines=center,
xlabel=$x$,
ylabel=$y$,
zlabel=$z$,
zmin=-1,
zmax=1,
ztick=-1,0,0.33,1,
zticklabels=$-1$,$0$,$1/3$,$1$,
ticklabel style=font=tiny,
legend pos=outer north east,
legend style=cells=align=left,
legend cell align=left,
view=-13525,
data cs=polar,
]
addplot3[surf,mesh/ordering=y varies,shader=interp,domain=0:360,
domain y=0:1,samples=61, samples y=21,
z buffer=sort] fan(x);
addlegendentry$f(x,y)$
endaxis
endtikzpicture
enddocument
edited Feb 27 at 9:32
JouleV
6,99221951
6,99221951
answered Feb 24 at 7:29
marmotmarmot
110k5137256
110k5137256
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
add a comment |
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
I edited your answer a bit (you can go to the revisions to see what I changed). If it is not good, be free to roll back to the previous version!
– JouleV
Feb 27 at 9:32
add a comment |
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1
Are you sure you want to plot the function in this way? If you use polar coordinates in the x-y plane,
x=r cos(phi)
andy=r sin(phi)
, you see that the function does not depend onr
but only on the angle. This explains the behavior at 0, where the function is not well-defined. And otherwise the function depends only on one variable, so I am wondering if you would be better off if you plotted a function of one variable only, or at least use a different parametrization.– marmot
Feb 24 at 7:02
@marmot please see the edit. The function has a "normal" behaviour when changing
domain y=-1.2:1
todomain y=-1:1
. If you want to use change of variables go ahead :). Do you know how to "enlarge" the axis without rescaling the entire function in order to make it a little more bigger?– manooooh
Feb 24 at 7:05
1
Normally you can set
width=15cm
or something like this. Of course, withaxis equal image,
one needs to be a bit careful. What I meant to say is that the function is not well-defined atx=y=0
and otherwise only a function that depends on one variable, not on two. You see this actually rather well in the upper plot.– marmot
Feb 24 at 7:11
1
I need to sleep so I will just post some 1d plot.
– marmot
Feb 24 at 7:28
1
Please do not alter the question that essentially by editing. It is much better to ask a new question.
– TeXnician
Feb 24 at 7:45