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    Covering of discrete probability measures
                Let $\mathcal{P}_{n:+}(\mathbb{R})$ denote the set of probability measures on $\mathbb{R}$ for the form $\sum_{i=1}^n k_i \delta_{x_i}$ where $k_i>0$.  Then any measure in $\mathcal{P}_{n:+}(\...