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math.NA2022
A Connected Component Labeling Algorithm for Implicitly-Defined Domains
Robert I. Saye
A connected component labeling algorithm is developed for implicitly-defined domains specified by multivariate polynomials. The algorithm operates by recursively subdividing the co…
math.NT2022
On two conjectures concerning the ternary digits of powers of two
Robert I. Saye
Erdős conjectured that 1, 4, and 256 are the only powers of two whose ternary representations consist solely of 0s and 1s. Sloane conjectured that, except for $\{2^0,2^1,2^2,2^3,2^…