replace the repeated number in a given sequence with value of zero

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Kundan Prasad on 15 Feb 2022
Answered: DGM on 15 Feb 2022
I want to replace the value of Z2,Z4,Z6,Z7,Z9,Z10,Z12,Z13... and so on with value of zero.
I have attached the same.
Thank you
r=22.5;
R=linspace(0,10,10);
x=repelem(R,3);
z=-(r-sqrt(r^2-R.^2));
Z=repelem(z,3);
Z(2:3:end)= Z(2:3:end)-1.04;
plot(R,z,'.');hold on
plot(x,Z,'-');
output

DGM on 15 Feb 2022
This can probably be simplified, but eh.
r=22.5;
R=linspace(0,10,10);
x=repelem(R,3);
z=-(r-sqrt(r^2-R.^2));
Z=repelem(z,3);
Z(2:3:end)= Z(2:3:end)-1.04;
plot(R,z,'.');hold on
plot(x,Z,'-');
Z0 = Z;
tol = 1E-15; % or pick some tolerance
uz = unique(Z);
for k = 1:numel(uz)
idx = find(abs(Z-uz(k))<tol);
if numel(idx)>1
Z(idx(2:end)) = 0; % get rid of the rightmost instances
%Z(idx(1:end-1)) = 0; % get rid of the leftmost instances
end
end
[Z0' Z']
ans = 30×2
0 0 -1.0400 -1.0400 0 0 -0.0275 -0.0275 -1.0675 -1.0675 -0.0275 0 -0.1100 -0.1100 -1.1500 -1.1500 -0.1100 0 -0.2483 -0.2483
Z now only contains unique values.
If the duplicate values are created with a known period, it may suffice to directly remove them without the need for comparison.