Authors: Wiesław Grzesikiewicz, Artur Zbiciak ABSTRACT Planar motion of a non-deformable wheel under the action of non-ideal unilateral constraints is considered. The mathematical description of this phenomenon has a form of a non-smooth initial value problem. The non-smoothness of this … Continue reading
Authors: Yu Wang, Lei Zhang ABSTRACT In this paper, we consider a unidirectional highway road with one entry/exit uniformly distributed on the road interval. One road side unit (RSU) is located on the position of the entry/exit. We build an … Continue reading
Authors: Dalal Adnan Maturi, Nujud Makhdhur Alsulami, Eman Salem Alaidarous ABSTRACT In this paper, a numerical technique is proposed to obtain the solution for transient heat conduction equation of Copper. The copper element is characterized by many characteristics; the most … Continue reading
Authors: Kaori Saito, Shiho Takagi, Yoshihiro Hamaya ABSTRACT A sufficient condition for the asymptotic stability of the equilibrium point of a system, which appears as a model for couple of the love affair with time delay, is obtained by applying … Continue reading
Authors: Cao-Huu Tuan, Dorin Ghisa, Allan Florin Muscutar ABSTRACT We are dealing with domains of the complex plane which are not symmetric in common sense, but support fixed point free antianalytic involutions. They are fundamental domains of different classes of … Continue reading
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