ALEXANDER KRONROD

'Aleksandr (Alexander) Semenovich Kronrod' (Russian ''Александр Семёнович Кронрод'') (October 22, 1921 – October 6, 1986) was a Russian mathematician and computer scientist, best known for the Gauss-Kronrod quadrature which he published in 1964. Earlier his computations informed theoretical physics. He is also known for his contributions to economics, specifically for proposing corrections and calculating price formation for the USSR. Later, Kronrod gave his fortune and life to medicine to care for terminal cancer patients. Kronrod is remembered for his captivating personality and was admired as a student, teacher and leader.
He is the author of several well known books, including ''"Nodes and weights of quadrature formulas. Sixteen-place tables"'' and ''"Conversations on Programming"''. A biographer wrote Kronrod gave ideas "away left and right, quite honestly being convinced that the authorship belongs to the one who implements them."

Contents

Education

Math

ITEP

Artificial intelligence

End of a career

Medicine

Notes

References

External links

Education

Kronrod was born in Moscow. Growing up, he studied math with D.O. Shklyarsky in school and in 1938 entered the Department of Mechanics and Mathematics at Moscow State University. He did his first independent mathematical work as a freshman with Professor A.O. Gel'fond. Kronrod was honored as a student with the first prize of the Moscow Mathematical Society and was the only person to win the prize twice.
During World War II he was rejected for military service because at the time graduate level students were exempt. They did help to build trenches around Moscow, and when he returned, Kronrod reapplied and was accepted. He served twice, and was injured twice.
The second injury in 1943 made him an invalid of sorts for life. Kronrod was married and about this time his son was born. He went to work at the Atomic Energy Kurchatov Institute. There he chose to leave pure math and pursue computational mathematics.
In his last undergraduate year, Kronrod studied with Nikolai Luzin the teacher of many of the Soviet Union's finest scientists. Kronrod and Georgy Adelson-Velsky were colleagues and Luzin's last students. Like his teacher, Kronrod led a seminar for mathematicians. He was considered to be a prophet in his field and was called Sasha. The Kronod circle met between 1946-1953. When he defended his masters thesis in 1949 his advisors M.V. Keldish, A.N. Kolmogorov and D.E. Men'shov bypassed the Ph.D. degree and awarded him a Habilitation degree in the physical-mathematical sciences.
Kronrod taught at the Moscow Pedagogical Institute. Yevgeniy Landis was a student, early collaborator and one of his biographers.
During the 1960s he worked on mathematics education in high schools by organizing courses and teaching methods.

Math

ITEP

Kronod played an important role in building the first major Russian computer, ''Relay Computer RVM-1'', though he liked to say his colleague N.I. Bessonov was the sole inventor.
At the Moscow Institute for Theoretical and Experimental Physics (ITEF or ITEP) during 1950-1955 Kronod collaborated with physicists, among them Isaak Pomeranchuk and Lev Landau. For providing theoretical physics with numerical solutions he received the Stalin Prize and an Order of the Red Banner.
In 1955 he first used an electronic computer at the Krzhizhanovskii laboratory of the Institute of Energy of the Russian Academy of Sciences, later called the Institute for Electronic Control Machines.
He directed the mathematics division of ITEP. They could surpass the results achieved outside the USSR by far faster machines, in the case of CERN in Geneva, five hundred times faster. Requests for computation were analyzed and sometimes solved by other means. The equipment was maintained and there were almost no hardware malfunctions. A policy said finished programs had to be rexamined if they ran for more than ten minutes.
Excerpt from the form for ITEP mathematics programs, in ''"Remembering A.S. Kronrod"'' by E.M. Landis and I.M. Yaglom.
Kronrod rewarded accuracy. He held what today are controversial views on the role of gender in computing. He employed women in ITEP's coding and card punching groups, believing that female computing staff members are more accurate than males. He also believed that in order to think, the male scientists qualified to use the computers needed to be free from operating them. The women did the input and quality assurance side by side with the men and for each month without an error received a 20% raise in salary.
He applied computing resources to the USSR planned economy and to cancer research. He served with Leonid Kantorovich and others on a cabinet ministry commission and oversaw the computation of the country's material expeditures to correct price formation. Kronrod's student V.D. Belkin further developed this work. At the Gertsen cancer research institute during the 1960s, with his student P.E. Kunin he studied the differential diagnostics of lung cancer and pneumonia to help doctors determine when surgery is needed.

Artificial intelligence

Kronrod had a profound interest in artificial intelligence known in the USSR at the time as heuristic programming. He is well known for saying, "chess is the ''Drosophila'' of artificial intelligence." This quote graces the top of the American Association for Artificial Intelligence "Games & Puzzles" chess home page.^[1]
In 1965 ITEP challenged and in 1966-1967 defeated the American chess program Kotok-McCarthy. The developers included Adelson-Velsky who used A.L. Brudno's adversarial search algorithm and a "general recursive search scheme" by Kronrod. They were advised by Russian chess master A.R. Bitman and world champion Mikhail Botvinnik International Grandmaster and World Champion Mikhail Botvinnik in Moscow Gift of M.M. Newborn. Monroe Newborn (photographer) in what was the first test of Shannon brute force vs. selective search.
Kronrod's participation came at great cost. The physics users at ITEP complained, thinking that the lab was being used for game playing, when the division was writing the Crazy Eights card game and chess hoping to teach a machine to think.

End of a career

When the Communist Party reprimanded him in 1968 for cosigning a letter with many mathematicians in defense of the poet Alexander Esenin-Volpin, the physicists were able to oust him from ITEP. He was also fired from his professorship.
He then directed the mathematics laboratory at the Central Scientic Research Institute of Patent Information (CNIIPI) where he proposed patent reform to stimulate inventions. After gaining support he lost this position to an unsympathetic director. His last position was heading a Central Geophysical Expedition laboratory that processed drilling data where he made calculations for gas and oil exploration, but he was not challenged by this work. He rexamined his goals and soon changed course.

Medicine

Kronrod decided that his highest calling was to help others and most importantly the terminally ill. He spent his fortune developing ''milil'' from a sour milk extract for cancer patients, to fill a shortage of ''anabol'', an expensive drug developed in small quantities by his acquaintance Bogdanov in Bulgaria. He was promised but never acquired an animal testing laboratory so he tested the medicine on himself. He was well informed but Kronrod had no medical degree. ''Milil'' was a last resort for seriously ill patients and was administered by physicians in one case in a hospital ward A.A. Vishnevskiy reserved for treatments by Kronrod's method. Kronrod himself never gave the drug to patients and through physicians gave it away free. The drug was unapproved and a criminal case was brought against him. He regained his research records when a relative of the plantiff required ''milil'' for treatment and the case was dismissed.
He slowly recovered when a stroke took his speech and ability to read and write but was forced to resign at the Central Geophysical Expedition and stop all work on math. He saved his own life by asking to be soaked in a tub of very hot water for several hours after a second stroke. He died on 6 October, 1986 of a third stroke.

Notes

1. "Chess"

References

★ E.M. Landis, I.M. Yaglom, ''Aleksandr Semenovich Kronrod'', Russian Math. Surveys '56' (2001), 993–1007.
:
★ E.M. Landis, I.M. Yaglom, ''Remembering A.S. Kronrod'', English translation by Viola Brudno. W. Gautschi (ed.) [written for ''Uspekhi Matematicheskikh Nauk'', English publication ''Math. Intelligencer'' (2002), 22-30], available at Stanford University School of Engineering SCCM-00-01 (PostScript). Retrieved on 19 December, 2006

External links

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★ English Web sites
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★ Lomonosov Moscow State University
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★ Institute for Theoretical and Experimental Physics (ITEP)