How Much Randomness is Needed to Convert MA Protocols to AM Protocols?
, Философские науки 2011 № 9 С. 99-115
The notion of emergent evolution is under consideration in the article. Distinguished French scholars Edgar Morin, Isabel Stengers and 1ол1 de Rosnay have made a considerable contribution to the investigation of the notion. This notion plays a key role in the modern universal (global) evolutionism as well as in the theory of selforganization of complex systems. Meanings of ...
Added: January 26, 2014
, , et al., Mathematical Methods of Statistics 2018 Vol. 27 P. 83-102
We introduce and explore an empirical index of increase that works in both deterministic and random environments, thus allowing to assess monotonicity of functions that are prone to random measurement errors. We prove consistency of the index and show how its rate of convergence is influenced by deterministic and random parts of the data. In ...
Added: February 28, 2020
On the Probability of Co-primality of two Natural Numbers Chosen at Random: From Euler identity to Haar Measure on the Ring of Adeles
, , Bernoulli News 2017 Vol. 24 No. 1 P. 7-13
The paper describes the rich history of remarkable problem lying at the confluence of number theory and probability. What is the probability of co-prima;lity of two randomly selected random numbers? In russian literature this problem and its solution is attributed to P.L.Chebyshev, but we show that before Chebyshev the solution was given by P. Dirichlet, ...
Added: November 8, 2017