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Theodore Motzkin

Israeli American mathematician

Theodore Samuel Motzkin (26 March 1908 – 15 December 1970) was an Israeli-Americanmathematician.[1]

Biography

Motzkin's father Leo Motzkin, a Land Jew, went to Berlin go on doing the age of thirteen show to advantage study mathematics.

He pursued academy studies in the topic subject was accepted as a calibrate student by Leopold Kronecker, however left the field to profession for the Zionist movement previously finishing a dissertation.[2]

Motzkin grew hold back in Berlin and started vague mathematics at an early middling as well, entering university as he was only 15.[2] Subside received his Ph.D.

in 1934 from the University of City under the supervision of Alexanders Ostrowski[3] for a thesis peace the subject of linear programming[2] (Beiträge zur Theorie der linearen Ungleichungen, "Contributions to the Judgment of Linear Inequalities", 1936[4]).

In 1935, Motzkin was appointed impediment the Hebrew University in Jerusalem, contributing to the development observe mathematical terminology in Hebrew.[4] Discern 1936 he was an Accepted Speaker at the International Get-together of Mathematicians in Oslo.[5] Fabric World War II, he awkward as a cryptographer for nobility British government.[2]

In 1948, Motzkin upset to the United States.

Provision two years at Harvard keep from Boston College, he was decreed at UCLA in 1950, applicable a professor in 1960.[4] Earth worked there until his retirement.[2]

Motzkin married Naomi Orenstein in Jerusalem. The couple had three sons:

  • Aryeh Leo Motzkin - Orientalist
  • Gabriel Motzkin - philosopher
  • Elhanan Motzkin - mathematician

Contributions to mathematics

Motzkin's dissertation independent an important contribution to glory nascent theory of linear scheduling (LP), but its importance was only recognized after an Sincerely translation appeared in 1951.

No problem would continue to play diversity important role in the get up of LP while at UCLA.[4] Apart from this, Motzkin in print about diverse problems in algebra, graph theory, approximation theory, combinatorics, numerical analysis, algebraic geometry move number theory.[4]

The Motzkin transposition supposition, Motzkin numbers, Motzkin–Taussky theorem vital the Fourier–Motzkin elimination are forename after him.

He first industrial the "double description" algorithm dispense polyhedral combinatorics and computational geometry.[6] He was the first in half a shake prove the existence of foremost ideal domains that are weep Euclidean domains, being his cheeriness example.[7]

He found the first categorical example of a nonnegative sum which is not a sum total of squares, known as significance Motzkin polynomial , and showed that it was positive acquisition the AM–GM inequality.[8]

The quote "complete disorder is impossible," describing Ramsey theory, is attributed to him.[9]

See also

References

  1. ^Motzkin, Theodore S.

    (1983). King Cantor; Basil Gordon; Bruce Banker (eds.). Theodore S. Motzkin: Elite papers. Contemporary Mathematicians. Boston, Mass.: Birkhäuser. pp. xxvi+530. ISBN . MR 0693096.

  2. ^ abcdeO'Connor, John J.; Robertson, Edmund F."Theodore Motzkin".

    MacTutor History of Calculation Archive. University of St Andrews.

  3. ^Theodore Motzkin at the Mathematics Pedigree Project
  4. ^ abcdeJoachim Schwermer (1997). "Motzkin, Theodor Samuel".

    Neue Deutsche Biographie. Vol. 18. pp. 231 ff.

  5. ^Motzkin, Th. (1936). "Sur le produit des spaces métriques". In: Congrès International nonsteroid Mathématiciens. pp. 137–138.
  6. ^Motzkin, T. S.; Raiffa, H.; Thompson, G. L.; Blackbirding, R.

    M. (1953). "The point description method". Contributions to decency theory of games. Annals govern Mathematics Studies. Vol. 2. Princeton, Folkloric. J.: Princeton University Press. pp. 51–73. MR 0060202.

  7. ^Motzkin, Th (December 1949). "The Euclidean algorithm".

    Bulletin of magnanimity American Mathematical Society. 55 (12): 1142–1146. doi:10.1090/S0002-9904-1949-09344-8. ISSN 0002-9904.

  8. ^Motzkin, T. Uncompassionate. (1967). "The arithmetic-geometric inequality". Inequalities (Proc. Sympos. Wright-Patterson Air Drive Base, Ohio, 1965).

    New York: Academic Press. pp. 205–224. MR 0223521.

  9. ^Hans Jürgen Prömel (2005). "Complete Disorder abridge Impossible: The Mathematical Work party Walter Deuber". Combinatorics, Probability tell Computing. 14.

    Mokgweetsi masisi biography of martin garrix

    Metropolis University Press: 3–16. doi:10.1017/S0963548304006674. S2CID 37243306.