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

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Cortés-Vega, Luis^1

Mathematics Department, Antofagasta University, Casilla 170, Antofagasta, Chile^1

关键词: Chinese remainder theorem;    Euclidean algorithms;    Functional approach;    Functional technique;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012135/pdf
DOI  :  10.1088/1742-6596/633/1/012135

来源: IOP

【 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.