Visualizing the difference curve in a 2D plot?
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I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:
Plot the curve where each point satisfies $f(x,y)=g(x,y)$.
Mark one side of the curve with red.
I tried to use Plot3D like the following
myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]
It gives what I expected, but how can I do this in a 2D plot?
plotting
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add a comment |
$begingroup$
I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:
Plot the curve where each point satisfies $f(x,y)=g(x,y)$.
Mark one side of the curve with red.
I tried to use Plot3D like the following
myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]
It gives what I expected, but how can I do this in a 2D plot?
plotting
$endgroup$
add a comment |
$begingroup$
I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:
Plot the curve where each point satisfies $f(x,y)=g(x,y)$.
Mark one side of the curve with red.
I tried to use Plot3D like the following
myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]
It gives what I expected, but how can I do this in a 2D plot?
plotting
$endgroup$
I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:
Plot the curve where each point satisfies $f(x,y)=g(x,y)$.
Mark one side of the curve with red.
I tried to use Plot3D like the following
myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
Plot3D[myfunc[x, y], {x, 0, 10}, {y, 0, 3}]
It gives what I expected, but how can I do this in a 2D plot?
plotting
plotting
edited Mar 21 at 5:10
m_goldberg
88k872199
88k872199
asked Mar 20 at 23:13
David Xiaoyu XuDavid Xiaoyu Xu
344
344
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2 Answers
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RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]
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thanks! I didn't know this before.
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– David Xiaoyu Xu
Mar 20 at 23:41
add a comment |
$begingroup$
ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3},
Contours -> {{0}}, ContourShading -> {None, Red}]
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2 Answers
2
active
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2 Answers
2
active
oldest
votes
active
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active
oldest
votes
$begingroup$
RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]
$endgroup$
$begingroup$
thanks! I didn't know this before.
$endgroup$
– David Xiaoyu Xu
Mar 20 at 23:41
add a comment |
$begingroup$
RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]
$endgroup$
$begingroup$
thanks! I didn't know this before.
$endgroup$
– David Xiaoyu Xu
Mar 20 at 23:41
add a comment |
$begingroup$
RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]
$endgroup$
RegionPlot[f[x, y] <= g[x, y], {x, 0, 10}, {y, 0, 3}]
answered Mar 20 at 23:17
Henrik SchumacherHenrik Schumacher
58.7k581162
58.7k581162
$begingroup$
thanks! I didn't know this before.
$endgroup$
– David Xiaoyu Xu
Mar 20 at 23:41
add a comment |
$begingroup$
thanks! I didn't know this before.
$endgroup$
– David Xiaoyu Xu
Mar 20 at 23:41
$begingroup$
thanks! I didn't know this before.
$endgroup$
– David Xiaoyu Xu
Mar 20 at 23:41
$begingroup$
thanks! I didn't know this before.
$endgroup$
– David Xiaoyu Xu
Mar 20 at 23:41
add a comment |
$begingroup$
ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3},
Contours -> {{0}}, ContourShading -> {None, Red}]
$endgroup$
add a comment |
$begingroup$
ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3},
Contours -> {{0}}, ContourShading -> {None, Red}]
$endgroup$
add a comment |
$begingroup$
ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3},
Contours -> {{0}}, ContourShading -> {None, Red}]
$endgroup$
ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3},
Contours -> {{0}}, ContourShading -> {None, Red}]
answered Mar 20 at 23:53
kglrkglr
190k10206424
190k10206424
add a comment |
add a comment |
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