Generalization of the Chinese remainder theorem |
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Authors: | I M Davydova E Ya Fedoseeva |
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Abstract: | Sufficient conditions for a system Ax = r to have an integral solution in the case of a basic matrix A in terms of submatrices and permanents of A are derived. Matrix A in the Chinese remainder theorem is a particular case of a basic matrix. The derivation can be extended to the case where the propositional formula that describes the sign scheme of A is a minimal unsatisfiable CNF. |
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