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In two dimensions the difference between random sampling, Latin Hypercube sampling and orthogonal sampling can be explained as follows:
#In '''random sampling''' new sample points are generated without taking into account the previously generated sample points. One does
#In '''Latin Hypercube sampling''' one must first decide how many sample points to use and for each sample point remember in which row and column the sample point was taken.
#In '''Orthogonal sampling''', the sample space is divided into equally probable subspaces. All sample points are then chosen simultaneously making sure that the total ensemble of sample points is a Latin Hypercube sample and that each subspace is sampled with the same density.
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