Publications of Prof. A.P. Stakhov on Fibonacci numbers

Dissertations

1. Research on analog-to-digit converters with back connections. PhD dissertation in Engineering Cybernetics, Kharkov University of Radio Electronics, 1966.
2. Synthesis of optimal algorithms of analog-to-digit conversion. DrSci dissertation in Computer Science. Kiev University of Civil Aviation Engineers, 1972.

Books and brochures

3. The book "Introduction into Algorithmic Measurement Theory". Moscow, Publisher "Soviet Radio", 1977.
4. The brochure "Algorithmic Measurement Theory". Moscow, Publisher "Znanie", Series "Mathematics & Cybernetics", No 6, 1979.
5. The book "Codes of the Golden Proportion". Moscow, Publisher "Radio & Communications", 1984.
6. The book "Data Coding in Information-Recorded Systems". Kiev, Publisher "Teknika" 1985 (co-authors: B.J. Lichtzinder, Y.P. Orlovich, Y.A. Storoguk).
7. The brochure "Noise-tolerant codes. Fibonacci computer". Moscow, Publisher "Znanie", Series "Radio Electronics & Communications", No 6, 1989.
8. The book "Computer Arithmetic based on Fibonacci Numbers and Golden Section: New Information and Arithmetic Computer Foundations", Toronto, "SKILLSET-Training", 1997 (manuscript).
9. The book "Introduction into Fibonacci Coding and Cryptography", Kharkov, Publisher "Osnova", 1999.
10. The collection of scientific papers "The Golden Section: Theory and Applications", Mozambique, University Eduardo Mondlane, Boletin de Informatica, No 9/10, January 1999.

Articles

11. "Redundant Binary Positional Number Systems". The collection "Homogenous digital computer and integrated structures", No 2, Publisher "Taganrog Radio Uniiversity", 1974.
12. Measurement and Search. The collection "Problems of Random Search", No 3, Riga, Publisher "Zinatne:, 1974.
13. "An Usage of natural redundancy of the Fibonacci Number Systems for Computer Systems Control". Journal "Automation and Computer Systems", No 6, 1975.
14. "Principle of Measurement Asymmetry". Journal "Problems of Information Transmission", No 3, 1976.
15. "Methodological Aspects of the Code Redundancy Introduction to Computer Systems", Journal "Automation and Computer Systems", No 15, 1976.
16. "Computer Arithmetic for Fibonacci and "Golden" Codes". Moscow, Publisher "Soviet Academy of Sciences", 1981. (ñî-author V.A. Lujetski).
17. "The Golden Proportion in Digital Technology". Journal "Automation and Computer Systems", No1, 1980.
18. "Codes of the Golden Proportion or the Number Systems for Future Computers". Journal "Teknika - Molodegi", No 7, 1985.
19. "Algorithmic Measurement Theory and Foundations of Computer Arithmetic". Journal "Measurement. Control. Automation", No 2, 1988.
20. The Medial Section as a Proportion for the Thermodynamic Equilibrium of Self-organizing Systems. Proceedings of the International Symposium "System Analysis and Simulation", Berlin, 1988.
21. The Golden Section in the Measurement Theory. An International Journal "Computers & Mathematics with Applications", Volume 17, No 4-6, 1989.
22. "The Golden Proportion Principle: Perspective Way of Computer Progress". Journal "Visnyk Akademii Nauk Ukrainy", No 1-2, 1990.
23. "Measurement as Fundamental Concept of Science". Journal "Visnyk Akademii Nauk Ukrainy", No 6, 1991.
24. "The Golden Section and Science of System Harmony". Journal "Visnyk Akademii Nauk Ukrainy", No 12, 1991.
25. "Hyperbolic Fibonacci Trigonometry". Journal "Doklady Akademii Nauk Ukrainy", Volume 208, No 7, 1993. (ñî-author I.S. Tkachenko).
26. "Algorithmic Measurement Theory: a General Approach to Number Systems and Computer Arithmetic". International Journal "Control Systems and Computers", No 4-5, 1994.
27. The Golden Section and Modern Harmony Mathematics. Applications of Fibonacci Numbers, Volume 7, 1998.
28. Matrix Arithmetic based on Fibonacci Matrices. Collection "Computer Optics", No 21, Institute of Image Processing of the Russia Academy of Sciences, 2001.
29. Ternary Mirror-Symmetrical Arithmetic and its Applications to Digital Signal Processing. Collection "Computer Optics", No 21, Institute of Image Processing of the Russia Academy of Sciences, 2001.

Foreign patents

30. Converter of analogous values to p-Fibonacci code. Patent certificate of the USA No 4161725.
31. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of USA No 4187500.
32. Adder of Fibonacci codes. Patent certificate of USA No 4159529.
33. Device for display information representation. Patent certificate of USA No 4148074.
34. Digit-to-analog converter. Patent certificate of USA No 4290050.
35. Device for reduction of p-Fibonacci codes to the minimal form. Patent certificate of USA No 4290051.
36. Parallel adder of the p-Fibonacci codes. Patent certificate of USA No 4276608.
37. Converter of analogous values to p-Fibonacci code. Patent certificate of England No 1566978.
38. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of England No 1543302.
39. Adder of Fibonacci codes. Patent certificate of England No 1565460.
40. Device for display information representation. Patent certificate of England No 1577184.
41. Device for obtaining of the "Golden" binary code. Patent certificate of England No 2048593.
42. Digit-to-analog converter. Patent certificate of England No 2033631.
43. Analog-to-digital converter realizing the comparison-subtraction method. Patent certificate of England No 2038122.
44. Device for reduction of p-Fibonacci codes to the minimal form. Patent certificate of England No 2050011.
45. Parallel adder of the p-Fibonacci codes. Patent certificate of England No 2025095.
46. Digit-to-analog converter for the p-Fibonacci codes. Patent certificate of England No 2090490.
47. Analog-to-digital converter. Patent certificate of England No 2091507.
48. Converter of analogous values to p-Fibonacci code. Patent certificate of Germany No 2413823.
49. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of Germany No 2732008.
50. Device for display information representation. Patent certificate of Germany No 2756806.
51. Digit-to-analog converter. Patent certificate of Germany No 2848911.
52. Digit-to-analog converter. Patent certificate of Germany No 2842672.
53. Device for reduction of p-Fibonacci codes to the minimal form. Patent certificate of Germany No 2921053.
54. Analog-to-digital converter. Patent certificate of Germany No 3050456.
55. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of Japan No 1118407.
56. Adder of Fibonacci codes. Patent certificate of Japan No 1112711.
57. Device for display information representation. Patent certificate of Japan No 1098040.
58. Parallel adder of the p-Fibonacci codes. Patent certificate of Japan No 1147296.
59. Converter of analogous values to p-Fibonacci code. Patent certificate of France No 7739466.
60. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificates of France No 7722036, No 2359460.
61. Adder of Fibonacci codes. Patent certificate of France No 2375655.
62. Device for display information representation. Patent certificates of France No 7737360, No 2375669.
63. Device for obtaining of the "Golden" binary code. Patent certificates of France No 2457601, No 7913131.
64. Digit-to-analog converter. Patent certificates of France No 7833461, No 2441295.
65. Digit-to-analog converter. Patent certificates of France No 7831692, No 2441295.
66. Analog-to-digital converter realizing the comparison-subtraction method. Patent certificates of France No 7900329, No 2446035.
67. Device for reduction of p-Fibonacci codes to the minimal form. Patent certificates of France No 7917216, No 2460367.
68. Parallel adder of the p-Fibonacci codes. Patent certificate of France No 425753.
69. Digit-to-analog converter for the p-Fibonacci codes. Patent certificates of France No 8100570, No 2498031.
70. Analog-to-digital converter. Patent certificate of France No 8104127.
71. Converter of analogous values to p-Fibonacci code. Patent certificate of Canada No 1116754.
72. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of Canada No 1134510.
73. Adder of Fibonacci codes. Patent certificate of Canada No 1103807.
74. Device for display information representation. Patent certificate of Canada No 1096075.
75. Digit-to-analog converter. Patent certificate of Canada No 1137228.
76. Analog-to-digital converter realizing the comparison-subtraction method. Patent certificate of Canada No 1137227.
77. Device for reduction of p-Fibonacci codes to the minimal form. Patent certificate of Canada N1132263.
78. Parallel adder of the p-Fibonacci codes. Patent certificate of Canada No 1127313 .
79. Digit-to-analog converter for the p-Fibonacci codes. Patent certificate of Canada No 1165889.
80. Converter of analogous values to p-Fibonacci code. Patent certificate of Poland No 124795.
81. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of Poland No 108086.
82. Adder of Fibonacci codes. Patent certificates of Poland No 109971.
83. Converter of analogous values to p-Fibonacci code. Patent certificate of DDR No 133373.
84. Reduction method of p-Fibonacci code to the minimal form and device for its realization. Patent certificate of DDR No 150514.
85. Adder of Fibonacci codes. Patent certificate of DDR No 136317.
86. Device for display information representation. Patent certificate of DDR No 134005.
87. Device for obtaining of the "Golden" binary code. Patent certificates of DDR No 142780.
88. Digit-to-analog converter. Patent certificates of DDR No 140187.
89. Digit-to-analog converter. Patent certificates of DDR No 138400.
90. Analog-to-digital converter realizing the comparison-subtraction method. Patent certificate of DDR No 141033.

Soviet patents

The list of the 126 names (see the Russian variant of the Museum)