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How to plot the region corresponding to an inequality?

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Dimitrios Anagnostou
Dimitrios Anagnostou el 10 de Feb. de 2022
Comentada: Andrew Sol el 21 de En. de 2023
I want to plot create the region plot for the inequality for . In Mathematica this can be done by
RegionPlot[y - x^2 >= 0, {x, -Sqrt[3], Sqrt[3]}, {y, 0, 3}, FrameLabel -> {"x", "y"}]
producing the following plot
How can one produce a similar plot in Matlab? The best I could do was using the spy function as follows
h = 0.01;
[x,y] = meshgrid(-sqrt(3):h:sqrt(3),0:h:3);
e = zeros(size(x));
Z = y-x.^2;
figure(1)
spy(Z >= e);
xlabel('x'), ylabel('y')
Here is another try
clear
h = 0.05;
[x,y] = meshgrid(-sqrt(3):h:sqrt(3),0:h:3);
ineq = y-x.^2 >= 0;
f = double(ineq);
figure(2)
surf(x,y,f);
xlabel('x'), ylabel('y')
view(0,90)
Any ideas? Thank you very much in advance.

Respuesta aceptada

KSSV
KSSV el 10 de Feb. de 2022
You are good to go with second method:
h = 0.01;
[x,y] = meshgrid(-sqrt(3):h:sqrt(3),0:h:3);
% e = zeros(size(x));
Z = y-x.^2;
idx = double(Z>=0) ;
figure(1)
pcolor(x,y,idx)
shading interp
xlabel('x'), ylabel('y')
  3 comentarios
KSSV
KSSV el 10 de Feb. de 2022
Editada: KSSV el 10 de Feb. de 2022
h = 0.01;
[x,y] = meshgrid(-sqrt(3):h:sqrt(3),0:h:3);
% e = zeros(size(x));
Z = y-x.^2;
idx = double(Z>=0) ;
figure(1)
% spy(Z >= 0);
% xlabel('x'), ylabel('y')
pcolor(x,y,idx)
shading interp
cmap = [255 255 255;0 0 255]/255 ;
colormap(cmap)
Andrew Sol
Andrew Sol el 21 de En. de 2023
How can I add a grid to this plot?

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