A functional technique based on the Euclidean algorithm with applications to 2-D acoustic diffractal diffusers

[摘要] We built, based on the Euclidean algorithm, a functional technique, which allows to discover a direct proof of Chinese Remainder Theorem. Afterwards, by using this functional approach, we present some applications to 2-D acoustic diffractal diffusers. The novelty of the method is their functional algorithmic character, which improves ideas, as well as, other results of the author and his collaborators in a previous work.

[发布机构] Mathematics Department, Antofagasta University, Casilla 170, Antofagasta, Chile^1

[效力级别] 数学

[关键词] Chinese remainder theorem;Euclidean algorithms;Functional approach;Functional technique