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Paul Painlevé

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French mathematician and politician (1863–1933)

Paul Painlevé
Paul Painlevé in 1923
Prime Minister of France
In office
17 April 1925 – 28 November 1925
PresidentGaston Doumergue
Preceded byÉdouard Herriot
Succeeded byAristide Briand
In office
12 September 1917 – 16 November 1917
PresidentRaymond Poincaré
Preceded byAlexandre Ribot
Succeeded byGeorges Clemenceau
Minister of Air
In office
3 June 1932 – 29 January 1933
Prime MinisterÉdouard Herriot
Joseph Paul-Boncour
Preceded byJacques-Louis Dumesnil
Succeeded byPierre Cot
Minister of Finance
In office
29 October 1925 – 28 November 1925
Prime MinisterHimself
Preceded byJoseph Caillaux
Succeeded byLouis Loucheur
Minister of War
In office
17 April 1925 – 29 October 1925
Prime MinisterHimself
Preceded byCharles Nollet
Succeeded byAndré Maginot
In office
20 March 1917 – 13 November 1917
Prime MinisterAlexandre Ribot
Himself
Preceded byLucien Lacaze
Succeeded byGeorges Clemenceau
President of the Chamber of Deputies
In office
9 June 1924 – 21 April 1925
Preceded byRaoul Péret
Succeeded byÉdouard Herriot
Personal details
Born5 December 1863
Paris
Died29 October 1933(1933-10-29) (aged 69)
Paris
Political partyPRS

Paul Painlevé (French:[pɔlpɛ̃ləve]; 5 December 1863 – 29 October 1933) was a French mathematician and statesman. He served twice asPrime Minister of theThird Republic: 12 September – 13 November 1917 and 17 April – 22 November 1925. His entry into politics came in 1906 after a professorship at the Sorbonne that began in 1892.

His first term as prime minister lasted only nine weeks but dealt with weighty issues, such as the Russian Revolution, the American entry into the war, the failure of theNivelle Offensive, quelling theFrench Army Mutinies and relations with the British. In the 1920s as Minister of War he was a key figure in building theMaginot Line.[1] In his second term as prime minister he dealt with the outbreak of rebellion in Syria's Jabal Druze in July 1925 which had excited public and parliamentary anxiety over the general crisis of France's empire.[2]

Biography

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Early life

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Painlevé was born in Paris.[3] Brought up within a family of skilled artisans (his father and grandfather werelithographicdraughtsmen)[4] Painlevé showed early promise across the range of elementary studies and was initially attracted by either an engineering or political career. However, he finally entered theÉcole Normale Supérieure in 1883 to study mathematics, receiving his doctorate in 1887 following a period of study atGöttingen, Germany withFelix Klein andHermann Amandus Schwarz. Intending an academic career he became professor atUniversité de Lille, returning to Paris in 1892 to teach at theSorbonne,École Polytechnique and later at theCollège de France and theÉcole Normale Supérieure. He was elected a member of theAcadémie des Sciences in 1900.[3]

He married Marguerite Petit de Villeneuve in 1901. She died during the birth of their sonJean Painlevé in the following year.[3]

Painlevé's mathematical work ondifferential equations led him to encounter their application to the theory of flight and, as ever, his broad interest in engineering topics fostered an enthusiasm for the emerging field of aviation. In 1908, he becameWilbur Wright's first airplane passenger in France and in 1909 created the first university course inaeronautics.[3]

Mathematical work

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Paul Painlevé as a young man

Somedifferential equations can be solved using elementary algebraic operations that involve thetrigonometric andexponential functions (sometimes calledelementary functions). Many interestingspecial functions arise as solutions of linear secondorderordinary differential equations. Around the turn of the century, Painlevé,É. Picard, and B. Gambier showed thatof the class ofnonlinear second order ordinary differential equations withpolynomialcoefficients, those that possess a certain desirable technical property, shared by the linear equations (nowadays commonly referred to as the 'Painlevé property') can always be transformed into one of fifty canonical forms. Of these fifty equations, just six require 'new' transcendental functions for their solution.[5] These newtranscendental functions, solving the remaining six equations, are called thePainlevé transcendents, and interest in them has revived recently due to their appearance in modern geometry, integrable systems[6] andstatistical mechanics.[7][8][9]

In 1895 he gave a series of lectures atStockholm University on differential equations, at the end stating thePainlevé conjecture about singularities of then-body problem.[10] In the same year he published work on thePainlevé paradox, an apparent contradiction in simple models offriction.[11]

In the 1920s, Painlevé briefly turned his attention to the new theory of gravitation,general relativity, which had recently been introduced byAlbert Einstein. In 1921, Painlevé proposed theGullstrand–Painlevé coordinates for theSchwarzschild metric. The modification in the coordinate system was the first to reveal clearly that theSchwarzschild radius is a merecoordinate singularity (with however, profound global significance: it represents theevent horizon of ablack hole). This essential point was not generally appreciated by physicists until around 1963.[citation needed] In his diary,Harry Graf Kessler recorded that during a later visit to Berlin, Painlevé discussedpacifistinternational politics with Einstein, but there is no reference to discussions concerning the significance of the Schwarzschild radius.[12]

Early political career

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Between 1915 and 1917, Painlevé served as French Minister for Public Instruction and Inventions. In December 1915, he requested a scientific exchange agreement between France and Britain, resulting in Anglo-French collaboration that ultimately led to the parallel development byPaul Langevin in France andRobert Boyle in Britain of the first activesonar.[13] He also established theDirectorate of Inventions for National Defense, the predecessor of theFrench National Centre for Scientific Research.

First period as French Prime Minister

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Painlevé took his aviation interests, along with those in naval and military matters, with him when he became, in 1906, Deputy for Paris's5th arrondissement, the so-calledLatin Quarter. By 1910, he had vacated his academic posts and World War I led to his active participation in military committees, joiningAristide Briand's cabinet in 1915 as Minister for Public Instruction and Inventions.[3]

On his appointment as War Minister in March 1917 he was immediately called upon to give his approval, albeit with some misgivings, toRobert Georges Nivelle's wildly optimistic plans for a breakthrough offensive inChampagne. Painlevé reacted to the disastrous public failure of the plan by dismissingNivelle and controversially replacing him withHenri Philippe Pétain.[14] He was also responsible for isolating theRussian Expeditionary Force in France in theLa Courtine camp, located in a remote spot on the plateau ofMillevaches.[15]

On 7 September 1917, Prime MinisterAlexandre Ribot lost the support of the Socialists and Painlevé was called upon to form a new government.[3]

Autochrome portrait by Auguste Léon, 1918

Painlevé was a leading voice at theRapallo conference that led to the establishment of theSupreme Allied Council, a consultative body ofAllied powers that anticipated the unified Allied command finally established in the following year. He appointedFerdinand Foch as French representative knowing that he was the natural Allied commander. On Painlevé's return to Paris he was defeated and resigned on 13 November 1917 to be succeeded byGeorges Clemenceau.Foch was finally named Alliedgeneralissimo in March 1918, eventually becoming commander-in-chief of all Allied armies on the Western and Italian fronts.[3][14][16]

Second period as French Prime Minister

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Painlevé then played little active role in politics until the election of November 1919 when he emerged as a leftist critic of the right-wingBloc National. By the time the next election approached in May 1924 his collaboration withÉdouard Herriot, a fellow member of Briand's 1915 cabinet, had led to the formation of theCartel des Gauches. Winning the election, Herriot became Prime Minister in June, while Painlevé became President of the Chamber of Deputies. Though Painlevé ran forPresident of France in 1924 he was defeated byGaston Doumergue. Herriot's administration publicly recognised the Soviet Union, accepted theDawes Plan and agreed toevacuate the Ruhr. However, a financial crisis arose from the ensuing devaluation of thefranc and in April 1925, Herriot fell and Painlevé became Prime Minister for a second time on 17 April. Unfortunately, he was unable to offer convincing remedies for the financial problems and was forced to resign on 21 November.[3][14][17]

Paul Painlevé in the 1920s

Later political career

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Following Painlevé's resignation, Briand formed a new government with Painlevé as Minister for War. Though Briand was defeated byRaymond Poincaré in 1926, Painlevé continued in office. Poincaré stabilised the franc with a return to thegold standard, but ultimately acceded power to Briand.[3] During his tenure as Minister of War, Painlevé was instrumental in the creation of theMaginot Line. This line of military fortifications along France's Eastern border was largely designed by Painlevé, yet named forAndré Maginot, owing to Maginot's championing of public support and funding.[citation needed] Painlevé remained in office as Minister for War until July 1929.[3]

From 1925 to 1933, Painlevé represented France in theInternational Committee on Intellectual Cooperation of theLeague of Nations (he replacedHenri Bergson and was himself replaced byÉdouard Herriot).[18]

Though he was proposed forPresident of France in 1932, Painlevé withdrew before the election. He became Minister of Air later that year, making proposals for an international treaty to ban the manufacture of bomber aircraft and to establish an international air force to enforce global peace. On the fall of the government in January 1933, his political career ended.[3]

Painlevé died in Paris in October of the same year.[14] On 4 November, after a eulogy by Prime MinisterAlbert Sarraut, he was interred in thePanthéon.[19]

Honours

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Composition of governments

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Painlevé's First Government, 12 September – 16 November 1917

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Changes

Painlevé's Second Ministry, 17 April – 29 October 1925

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Changes

  • 11 October 1925 –Anatole de Monzie succeeded Steeg as Minister of Justice.Yvon Delbos succeeded Monzie as Minister of Public Instruction and Fine Arts.

Painlevé's Third Ministry, 29 October – 28 November 1925

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Works

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  • Sur les lignes singulières des fonctions analytiques - 1887/On singular lines of analytic functions.
  • Mémoire sur les équations différentielles du premier ordre - 1892/Memory on first order differential equations.
  • Leçons sur la théorie analytique des équations différentielles, A. Hermann (Paris), 1897/A course on analytic theory of differential equations.
  • Leçons sur les fonctions de variables réelles et les développements en séries de polynômes - 1905/A course on real variable functions and polynomial development series.
  • Cours de mécanique et machines (Paris), 1907/A course on mechanics and machines.
  • Cours de mécanique et machines 2 (Paris), 1908/A course on mechanics and machines 2.
  • Leçons sur les fonctions définies par les équations différentielles du premier ordre, Gauthier-Villars (Paris), 1908/A course on functions defined by first order differential equations.
  • L'aéroplane, Lille, 1909/Aeroplane.
  • Cours de mécanique et machines (Paris), 1909/A course on mechanics and machines.
  • L'aviation, Paris, Felix Alcan, 1910/Aviation.
  • Les axiomes de la mécanique, examen critique;Note sur la propagation de la lumière - 1922/Mechanics axioms, a critical study;Notes on light spread.
  • Leçons sur la théorie analytique des équations différentielles, Hermann, Paris, 1897/A course on analytical theory of differential equations.
  • Trois mémoires de Painlevé sur la relativité (1921-1922)/Painlevé's three memories on relativity.

See also

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References

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  1. ^Smart, Nick (1996). "The Maginot Line: An Indestructible Inheritance".International Journal of Heritage Studies.2 (4):222–233.doi:10.1080/13527259608722177.
  2. ^Thomas, Martin (2005). "Albert Sarraut, French Colonial Development, and the Communist Threat, 1919–1930".Journal of Modern History.77 (4):917–955.doi:10.1086/499830.S2CID 146245219.
  3. ^abcdefghijkO'Connor, John J.;Robertson, Edmund F.,"Paul Painlevé",MacTutor History of Mathematics Archive,University of St Andrews
  4. ^Borisov, Alexey V.; Kudryashov, Nikolay A. (February 2014)."Paul Painlevé and his contribution to science".Regular and Chaotic Dynamics.19 (1):1–19.Bibcode:2014RCD....19....1B.doi:10.1134/S1560354714010018.ISSN 1560-3547.
  5. ^Painlevé, P. (1897).Leçons sur la théorie analytique des équations différentielles. Paris: Libraire Scientifique à Hermann.
  6. ^Ablowitz, M. J. and Clarkson, P.A. (1991)Solitons, nonlinear evolution equations and inverse scattering. Cambridge University Press
  7. ^Wu, T. T.; B. M. McCoy; C. A. Tracy; E. Barouch (1976). "Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region".Physical Review B.13 (1):316–374.Bibcode:1976PhRvB..13..316W.doi:10.1103/PhysRevB.13.316.
  8. ^Jimbo, Michio; Tetsuji Miwa; Yasuko Môri; Mikio Sato (April 1980). "Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent".Physica D.1 (1):80–158.Bibcode:1980PhyD....1...80J.doi:10.1016/0167-2789(80)90006-8.
  9. ^Tracy, C. A.; H. Widom (1997). "On Exact Solutions to the Cylindrical Poisson-Boltzmann Equation with Applications to Polyelectrolytes".Physica A.244 (1–4):402–413.arXiv:cond-mat/9701067.Bibcode:1997PhyA..244..402T.doi:10.1016/S0378-4371(97)00229-X.S2CID 5785882.
  10. ^Diacu, Florin N. (1993). "Painlevé's Conjecture".The Mathematical Intelligencer.13 (2):6–12.doi:10.1007/BF03024186.S2CID 121592005.
  11. ^Painlevé, Paul (1895). "Sur le lois frottement de glissemment".C. R. Acad. Sci.121:112–115.
  12. ^Harry Graf Kessler."Berlin. 20. February 1925. Freitag" [Diary entry for Berlin 25 February 1925]. Projekt Gutenberg. Archived fromthe original on 5 August 2020.
  13. ^Michael A. AinsliePrinciples of Sonar Performance Modelling, Springer, 2010ISBN 3-540-87661-8, page 13
  14. ^abcd"Paul Painlevé" inEncyclopædia Britannica
  15. ^Cockfield, Jamie H. (1999).With snow on their boots : the tragic odyssey of the Russian Expeditionary Force in France during World War I (1st St. Martin's Griffin ed.). New York: St. Martin's Griffin. p. 137.ISBN 978-0312220822.
  16. ^Keegan, John (2003).The First World War. UK: Random House. p. 403.ISBN 0-7126-8040-3.
  17. ^"Édouard Herriot" inEncyclopædia Britannica
  18. ^Grandjean, Martin (2018).Les réseaux de la coopération intellectuelle. La Société des Nations comme actrice des échanges scientifiques et culturels dans l'entre-deux-guerres [The Networks of Intellectual Cooperation. The League of Nations as an Actor of the Scientific and Cultural Exchanges in the Inter-War Period] (phdthesis) (in French). Lausanne: Université de Lausanne.
  19. ^"Painlevé To Be Buried in Pantheon Today".The New York Times. 4 November 1933. p. 13. Retrieved29 August 2011.
  20. ^"APS Member History".search.amphilsoc.org. Archived fromthe original on 30 December 2023. Retrieved4 October 2023.
  21. ^Polmar, Norman; Genda, Minoru (2006).Aircraft Carriers: A History of Carrier Aviation and Its Influence on World Events. Washington, DC: Potomac Books, Inc. p. 86.ISBN 978-1-57488-664-1.
  22. ^Schmadel, Lutz D.; International Astronomical Union (2003).Dictionary of minor planet names. Berlin; New York: Springer-Verlag. p. 84.ISBN 978-3-540-00238-3.

Further reading

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External links

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