MathDB2 problems
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Uniqueness conjecture for the polarizability-minimizing conducting sphere
Let a perfectly conducting inclusion in three dimensions have a fixed volume, and let its average polarizability be obtained by averaging over all orientations of the applied field…
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Pólya–Szegő conjecture on the minimizing polarizability of the conducting sphere
Let a perfectly conducting inclusion in three dimensions have a fixed volume, and define its average polarizability by averaging over all orientations of the applied field. Pólya–S…