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So here $\mathcal{M}$ is, as you wrote, a "randomized mechanism", so it means that for one entry $D$ it can output different values. For example, you can imagine that on entry $D = 1$, $\mathcal{M}$ outputs $0$ with probability $1/4$ and $1$ with probability $3/4$. To make it more concrete, you can imagine that in order to choose which output $\...


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