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DEFINITION 10 Matrices 矩阵 Let a be a square zero-one matrix and let r be a positive integer. The rth Boolean power of A is the Boolean product ofr A. The rth Boolean product of a is denoted by ar. Hence A=A⊙A⊙A⊙A⊙AA⊙A⊙A R times (This is well defined since the Boolean product of matrices is associative. We also define a lol to be IM a t r i c e s 矩 阵 Let A be a square zero-one matrix and let r be a positive integer. The rth Boolean power of A is the Boolean product of r A. The rth Boolean product of A is denoted by A[r]. Hence A[r] = A⊙A⊙A⊙A⊙A⊙A⊙A⊙A (This is well defined since the Boolean product of matrices is associative.) We also define A[0] to be In . DEFINITION 10. R times
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