гіпотеза

ON THE MATHEMATICAL MODEL OF THE TRANSFORMATION OF NATURAL NUMBERS BY A FUNCTION OF A SPLIT TYPE

In this work justified incorrectness of the algorithm proposed in the publication "M. Remer.[A Comparative Analysis of the New -3(-n) - 1 Remer Conjecture and a Proof of the 3n + 1 Collatz Conjecture. Journal of Applied Mathematics and Physics. Vol.11 No.8, August 2023"] in terms of the Collatz conjecture. And also that the transformation -3(-n) - 1 is not equivalent to Collatz's conjecture on the natural numbers 3n + 1. The obtained results can be used in further studies of the Collatz hypothesis

INTERACTION THEORY IN INNOVATION PROCESSES

The article is devoted to the research and substantiation of the author 's theory of interaction in innovation processes. The author   proved the need to revise the provisions of modern theories in modern conditions, as they complicate the possibilities and lead to inefficiency of use for the implementation of innovation processes at different levels. The development of the innovation process was determined by the indicators of interaction between the stages and participants of innovation.