Symmetric and Supersymmetric Polynomials and Their Applications in the Blockchain Technology and Neural Networks
Andriy Zagorodnyuk, Nataliia Baziv, Yuriy Chopyuk, Taras Vasylyshyn, Ivan Burtnyak, Viktoriia Kravtsiv · 2023
We consider properties of symmetric and supersymmetric polynomials on rings of multisets. Using supersymmetric polynomials we found some conditions of the existence and uniqueness of solutions of algebraic equations on the ring of complex multisets. Obtained results can be applied to hash functions in blockchain technology, for comparing big sets of data and to neural networks with symmetric input data.