A nonzero balanced value in a function satisfying complete oriented-simplex cancellation forces support at least c_n R^{ceil(n/2)}, an exponent shown optimal by explicit examples.
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Discrete Unique Continuation on Simplex
A nonzero balanced value in a function satisfying complete oriented-simplex cancellation forces support at least c_n R^{ceil(n/2)}, an exponent shown optimal by explicit examples.