his observation is true in a more general setting. For <span class="math inline">\(P\)</span> features independently distributed according to the mixture distribution described above, it is always possible to draw a finite sample consisting of <span class="math inline">\(N\)</span> observations, which contains two disjoint subsamples that are far apart. Here is some mathematical intuition. For each observation <span class="math inline">\(\mathbf{x}_n\)</span>, let <span class="math inline">\(\mathbf{1}\{\ma