Authors: Dorin Ghisa, Andrei Horvat-Marc ABSTRACT The concept of quasi-periodic property of a function has been introduced by Harald Bohr in 1921 and it roughly means that the function comes (quasi)-periodically as close as we want on every vertical line … Continue reading
Author: Kazuyuki Fujii ABSTRACT The least squares method is one of the most fundamental methods in Statistics to estimate correlations among various data. On the other hand, Deep Learning is the heart of Artificial Intelligence and it is a learning … Continue reading
Authors: Kazuyuki Fujii, Hiroshi Oike ABSTRACT In this paper we revisit the addition of elliptic curves and give an algebraic proof to the associative law by use of MATHEMATICA. The existing proofs of the associative law are rather complicated and … Continue reading
Author: K. P. Shum ABSTRACT In point set topology, it is well known that the Kuratowski 14-set problem is one of the most interesting results. In this note, we first give a brief survey of the Kuratowski’s theorem. In particular, … Continue reading
Author(s): S. N. Baibekov, A. A. Durmagambetov ABSTRACT This work is devoted to the theory of prime numbers. Firstly it introduced the concept of matrix primes, which can help to generate a sequence of prime numbers. Then it proposed a … Continue reading
Author(s)： Golden Gadzirayi Nyambuya ABSTRACT English mathematics Professor, Sir Andrew John Wiles of the University of Cambridge finally and conclusively proved in 1995 Fermat’s Last Theorem which had for 358 years notoriously resisted all gallant and spirited efforts to prove … Continue reading