Prof. Stakhov’s training in the Austrian universities (1976)

In 1976 the destiny gave to Prof. Stakhov the "happy case", the two-month scientific business trip to Austria with the purpose of scientific training in the leading universities of Austria.

During that period an international situation promoted to development of scientific contacts between USSR and the Western Europe countries. In development of the historical "Helsinki Conference" decisions the agreement on scientific cooperation and exchange of scientific cadres between USSR and Austria was concluded. Therefore in the Soviet Ministry of the Higher Education there arose the urgent necessity to find the doctor of engineering sciences, professor, who could worthy present the Soviet science in Austria.

Usually for such "delicious" business trips the professors of the Moscow or, in the last case, of the Leningrad Universities were found. In this case the piquancy of the situation was in the fact that it was necessary to find professor, doctor of sciences in Computer Engineering with good knowledge of the German language, which in that time (and in the present) was not so popular among the metropolitan computer professors. Therefore knowledge of the German language played the determining role in selection of Prof. Stakhov's candidacy for the business trip to Austria.

The Institute of Data Processing of the Vienna Technical University was chosen as the basic place of Prof. Stakhov's training and the Director of this Institute Prof. Richard Eier was assigned by the "scientific supervisor" of Prof. Stakhov.

Certainly, first of all Vienna, the capital of Austria, astonished Prof. Stakhov by its magnificent architectural masterpieces.

Parliament (Vienna)
Parliament (Vienna).

Prof. Stakhov's visits to the Institute of Data Processing of the Austrian Academy of Sciences and to the Soviet-American Institute of Applied Systems Analysis, which was placed in the castle Laxenburg, near Vienna, were the brightest Vienna's impressions.

As is known, 1976 was the Olympic year, and the Austrian city Innsbruck was selected as the place of the 12th Winter Olympic Games.

'Schneemandl' as a symbol of Innsbruck' Olympiad of 1976
"Schneemandl" as a symbol of Innsbruck' Olympiad of 1976.

Certainly, Prof. Stakhov wanted to visit the Olympiad and Prof. Eier granted him such capability.

The Director of the Statistics Institute of the Innsbruck University Professor Albrecht accepted Prof. Stakhov very well in Innsbruck. Under his initiative Prof. Stakhov was invited on the Christmas celebration, which was organized annually by numerous Prof. Albrecht's family.

Each year the members of Prof. Albrecht's family agreed about the subject of the next Christmas celebration and during year all members got ready to the family holiday. For this purpose there were sewed the special masquerade costumes corresponding to the holiday subject. So it was happened, that in 1976 the holiday was called " Moscow's Nights". Therefore Prof. Stakhov played on this holiday the role of the "wedding general". He delivered on the holiday the comic speech, presented the slides with Moscow's views to Prof. Albrecht's parents and the bottle of "Moscow Vodka" to the members of the holiday. It called the overall delight. On memory of this remarkable holiday Prof. Stakhov photographed together with Prof. Albrecht's wife dressed in the Russian masquerade costume on the background of the picture represented the Basil Blessed temple in Moscow.

During the Christmas holiday in Innsbruck (February, 1976)
During the Christmas holiday in Innsbruck (February, 1976)

The next after Innsbruck place of Prof. Stakhov's scientific training was the city Graz where Prof. Stakhov routed after Innsbruck.

The acquaintance with the outstanding European mathematician Professor Alexander Aigner, the Director of the 1st Mathematical Institute of the Graz University was the most important event of Prof. Stakhov's visit to Graz. As appeared, the Fibonacci numbers and the golden section were one of Prof. Aigner's mathematical fascinations. This fact determined his special interest in Stakhov's scientific direction. He perceived with a huge concern Stakhov's ideas concerning to the "algorithmic measurement theory" and new computer arithmetic based on Fibonacci numbers, and after presentation of Stakhov's lecture at the mathematical seminar wrote a fine review to Stakhov's scientific direction.

"Concerning the lecture of Professor Stakhov in Craz.

Original ideas of Prof. Alexey Stakhov from the Taganrog university (USSR) in the field of the algorithmic measurement theory and computer arithmetic are also of considerable concern from the point of view of theoretical arithmetic and number theory. His central idea consists in replacement of traditional binary arithmetic by the arithmetic based on Fibonacci numbers 1, 1, 2, 3, 5, 8, ... . The representation of each natural number as the sum of Fibonacci numbers in contrast to the classic binary representation is not unique. But just this fact creates redundancy (missing in the classic binary arithmetic), which is rather necessary for coding and code control. In the Fibonacci representation of some number there is the unique "normal" representation, in which the binary numeral 0 always follows after the binary numeral 1, i.e. in such representation two binary numerals of 1 alongside do not meet never. In arithmetic the normal representations are used only. There is also the algorithm of the "normal" representation obtaining. The error arising at the information transmission brings with a high probability into the "abnormal" representation and thus easily it is found out. Also the Fibonacci arithmetics of the higher order advanced in the work. In these arithmetics in the normal representation not less š binary numerals of 0 follow after each binary numeral of 1 that is even more favorable from the point of view of error detection in computer systems.

During the lecture and also during the long personal discussion I had a capability closer to learn and to assess properly the rather valuable Prof. Stakhov's ideas.

Director of the 1st Mathematical Institute of Graz University
Professor Alexander Aigner"

This review played the decisive role in the endorsement of Stakhov's scientific direction by the Austrian scientific community and, in the final analysis, in development of this direction in the former USSR. But we will tell about this on the following pages of our Museum. Follow us!