page_title: Alexey Stakhov
section_title: Brief description of research and scientific achievements
hierarchical_section_title: Alexey Stakhov / Brief description of research and scientific achievements
caption_attribution_description: English: Stakhov's minimal form USA patent
context_page_description: Alexey Petrovich Stakhov is a Ukrainian mathematician, inventor and engineer, who has made contributions to the theory of Fibonacci numbers and the "Golden Section" and their applications in computer science and measurement theory and technology. Doctor of Computer Science, Professor. Author of over 500 publications, 14 books and 65 international patents.
context_section_description: Created a new direction in the measurement theory, the algorithmic measurement theory described in his book – A.P. Stakhov. "Introduction into Algorithmic Measurement Theory" (Moscow: Soviet Radio, 1977).
  Created the theory of the redundant number systems based on the generalised Fibonacci numbers (Fibonacci p-codes) and the generalised golden proportions (codes of the golden p-proportion) The principals of the Fibonacci p-codes and the new computer arithmetic based on them are described in his book – A.P. Stakhov. "Introduction into Algorithmic Measurement Theory" (Moscow: Soviet Radio, 1977). The fundamentals of the theory of the codes of the golden p-proportion are stated in the book – AP Stakhov. The Codes of the Golden Proportion (Moscow, Radio and Communication, 1984).
  Put forward the concept of "Fibonacci computers". The international priority of this invention was protected by the Soviet Union in an unprecedented patenting operation by Soviet standards, resulting in 65 international patents, covering the territories of U.S., Japan, U.K., France, Germany, Canada and other countries.
  Elaborated and evolved the concept "Mathematics of Harmony", which goes back in its foundations to Euclid's “Elements” (III c. BC), "Divina Proportione" (Divine proportion) by Luca Pacioli (1509), Harmonice Mundi (Harmony of the World) by Johannes Kepler (1619). For the first time the concept of "Mathematics of Harmony" in relation to the achievements of modern science was presented by Prof. Stakhov in a speech "The Golden Section and Modern Harmony Mathematics," made at the 7th International Conference "Fibonacci Numbers and Their Applications" (Austria, Graz, 1996). The book "The Mathematics of Harmony. From Euclid to Contemporary Mathematics and Computer Science" – 748 pages (World Scientific, 2009) is Stakhov's main scientific achievement in this field.
  Published over 500 scientific works, among them 14 books, 65 international patents, 130 USSR invention certificates. During his work in Canada (2004–2012) published over 30 articles in international journals (Chaos, Solitons & Fractals, Applied Mathematics, Arc Combinatoria, Visual Mathematics, etc.).
  Alexey Stakhov prepared 30 PhD students, five of Stakhov's PhD students, became Doctors of Sciences.
caption: US Patent for the Fibonacci p-code minimal form
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