Run the program using 'python3 polynomial-long-division.py [a b c] [d e f]' where '[a b c]' are the coefficients of the dividend and '[d e f]' are the coefficients of the divisor. We denote a ...

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Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Abstract: We propose the joint study of function computation (arithmetics) and lattice coding gain (geometry) to derive the (complex modulo) arithmetics of compute and forward over Euclidean geometry.