CONTENTS

1. To the 95th anniversary of the birth of the Volodymyr Serhiyovych Mykhalevych [In Ukrainian]	PDF
V.M. Kuzmenko	3–8

CYBERNETICS

2. Global Trends in artificial intelligence: Challenges, opportunities, and prospects [In Ukrainian]	PDF
M.Z. Zgurovsky	9–31

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SYSTEMS ANALYSIS

3. Elements of the general theory of optimal algorithms [In Ukrainian]	PDF
V.K. Zadiraka, I.V. Shvidchenko	32–45

4. Application of the general theory of optimal algorithms in cryptography, steganography, and blockchain technology [In Ukrainian]	PDF
A.M. Kudin, I.A. Kudin, V.Z. Chikhladze	46–57

5. Chebyshev approximation of multivariable functions by a nonlinear function of a rational expression [In Ukrainian]	PDF
P.S. Malachivskyy, L.S. Melnychok	58–69

6. Approximate calculation of double integrals of highly oscillating functions of general type using the cubature formula of optimal order of accuracy on a class of differentiable functions [In Ukrainian]	PDF
O.P. Nechuiviter	70–76

7. Solving matrix polynomial equations [In Ukrainian]	PDF
M. Nedashkovskyy	77–93

8. The scientific heritage of academician Shor [In Ukrainian]	PDF
P.I. Stetsyuk	94–103

9. The operator extrapolation method for variational inequalities and its application [In Ukrainian]	PDF
V.V. Semenov	104–117

10. Methods, algorithms, and tools for remote long-term monitoring of the safety of people and their property [In Ukrainian]	PDF
B.M. Shevchuk	118–133

11. Simulating a simplified version of a splitting attack on the blockchain based on the Proof-of-Stake consensus protocol [In Ukrainian]	PDF
L.V. Kovalchuk, M.Yu. Kuznetsov, A.A. Shumska	134–145

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NEW MEANS OF CYBERNETICS, INFORMATICS,
COMPUTER ENGINEERING, AND SYSTEMS ANALYSIS

12. National and international post-quantum standards for asymmetric transformations [In Ukrainian]	PDF
I.D. Gorbenko, S.O. Kandii	146–159

13. Modern quantum technologies of cryptographic information protection [In Ukrainian]	PDF
Ye. Vasiliu	160–175

14. High-performance computing in the residual class system [In Ukrainian]	PDF
Y. Nikolaychuk, I. Pitukh	176–189

15. Application of machine learning methods to certain problems of digital signal processing in telecommunication tasks [In Ukrainian]	PDF
V.Yu. Semenov, E.V. Semenova	190–198