MATLAB: How do i plot a discontinuous function

Question

Hi i need to plot in 3d the following function in matlab:

f(x,y)= (x^2)/(x^2 – y^2) when |x| ≠ |y|

0 when |x| = |y|

how should i do it? thx

Answer 1

Try this:

f = @(x,y) ((x.^2)./(x.^2 - y.^2)) .* (abs(x) ~= abs(y)) 
[X,Y] = ndgrid(linspace(-1,1,150));
figure
surf(X, Y, f(X,Y))
grid on
shading('interp')

It will automatically be 0 when the logical condition is not met, so no specific test need be added for the equality condition.

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