Quantum key distribution (QKD) is an emerging communication technology that utilizes quantum mechanics principles to ensure ...

In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

1 Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia 2 Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia The main purpose of this paper is to ...

Department of Basic Science, Nippon Veterinary and Life Science University, Tokyo, Japan. According to the uncertainty principle, the motion of the single electron in the 1s orbit of a hydrogen atom ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

The main finding of this study is the derivation of a new probability distribution that reveals interesting properties, especially with various asymmetry and kurtosis ...

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...