Gerry Myerson's clever inequality?
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The union of a bunch of sets is the complement of the intersection of the complements of the sets. So|z−ak|>Rk|z−ak|>Rkgives the complement of the disk, the system of such inequalities gives the intersection of the complements, then you want the complement of that.
The union of a bunch of sets is the complement of the intersection of the complements of the sets. So|z−ak|>Rk|z−ak|>Rkgives the complement of the disk, the system of such inequalities gives the intersection of the complements, then you want the complement of that.
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