3D plot Between one known and two unknown parameter.

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MADHVI
MADHVI 2023-5-25
评论： MADHVI 2023-5-28
For a given equation, A.^2+B.^2=R
I need to plot between A,B and R where R is known(R lies between 1 to 10 for 100 resolutions) and A and B is not known.
Thanks in advance.
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Nathan Hardenberg
Nathan Hardenberg 2023-5-25
Ran in:
hmm... I'm still not sure what you want. If you do want to have three "inputs" A,B and R there is no function anymore. It can be either true or false.
Example:
A = 1; B = 1; R = 2;
A^2 + B^2 == R % is true
ans = logical
1
A = 1; B = 1; R = 1;
A^2 + B^2 == R % is false
ans = logical
0
You could only plot the "true"-datapoints. But this would result in the same plot as above, if I'm not mistaken

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Dyuman Joshi
Dyuman Joshi 2023-5-25
编辑：Dyuman Joshi 2023-5-27
Ran in:
"In 2D, it will definitely give a circle."
I assume you want to obtain all the circles corresponding to values in R in the same plot.
figure
hold on
%R lies between 1 to 10 for 100 resolutions
for R = linspace(1,10,100)
fimplicit(@(x, y) x.^2+y.^2-R)
end
grid on
hold off
Edit - You can also achieve this from the code mentioned in the comments by changing the view. But note that the resolution of R will not be same as you mentioned and as in the code above.
figure
fimplicit3(@(A,B,R) A.^2 + B.^2 - R)
axis equal
zlim([1,10]); xlim([-4,4]); ylim([-4,4])
view(2)

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