2016/02/17 by Oleh Kyrhan, Kyrhan, Oleh
Mathematics · #00A05 #Advanced Banach Space Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.1603.02058
openalex publication_date 2016/02/17 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
The article discusses the representation of discrete functions defined in an analytic form without the use of approximations, namely the Heaviside function, identity function, the Dirac delta function and the prime-counting function. Also in the article introduced and considered a new type of sets (ξ set) by analogy taken from finding the sum of a number of grants and other contradictions in mathematics and physics. With the help of ξ sets interpreted Russell's paradox in the system of axioms of naive set theory.