Geometry.Net - Scientists: Liouville Joseph

Liste Provisoire DicoMeca (F-M)
liouville, joseph, 1809 - 1882, PP, 261. LISSAJPOU, Jules, 1822 -1880, PP, 262.
http://www.afm.asso.fr/aum/PROJETS/DicoMeca/ListDM_FM.html

Extractions: FALKNER CdE FANNO CdE FENCHEL [JC] FICK Adolf-Eugen [PAB] FLAMANT [PP] FLAMMARION Nicolas Camille [BE] F FLETTNER Anton [PAB] FOUCAULT [PP] FOURIER Joseph [PP] FOURNEYRON [PAB] FRANCIS James [PAB] FRENET [PP] FRESNEL Augustin Jean [PP] FREYSSINET [PP] FRIEDRICHS Kurt Otto [PP] FRONTIN Sextus Julius Frontinus [PAB] FROUDE William [PAB] FULLER Pudley Dean [JF] FULTON Robert [PAB] GALILEE (dit) Galileo Galilei [BE] GALLE Johann Gottfried CdE GAUSS Carl Friedrich [PP] GAUTHEY Emiland Marie [PP] GAY-LUSSAC Louis-Joseph [JC] GEIRINGER CdE GERMAIN Sophie [PP] GIBBS John Willard [JC] GLAUERT Hermann [PAB] GOLDENVEIZER CdE GOLDSTEIN Sydney CdE GOODMAN John [JF] GRASHOF Franz [PP] GREEN George [PP] GRIFFITH A. A. [PP] GULDIN Paul [PP] Ludwig Karl Friedrich [JF] HABASH AL-HASIB [BE] HAGEN Gotthilf [PAB] HALL CdE HALLEY Edmond [BE] HAMILTON William Rowen [PP] HARDY William Bate [JF] HARTMAN CdE HELE SHAW [AM] HELMHOLTZ (von) Hermann [PP] HENCKY Heinrich [JC] HENDERSON Thomas [BE] HERACLIDES de PONTUS ca. 387 AC - 312 AC [BE] HERON d'ALEXANDRIE ca. 10 - ca. 75
Pronunciation Guide To Mathematicians
Lindemann, Carl Louis Ferdinand von ? ? ?; liouville, joseph ? ?; Lobachevsky
http://puzzle.jmath.net/math/mathcian/

Extractions: Home Math Puzzles Links Contents A B C D ... B Babbage , Charls Âû½º ¹è¹èÁö Bachet de Meziriac, Claude Gaspard Å¬·Îµå °¡½ºÆÄ¸£ ¹Ù¼Î µå ¸ÞÁö¸®¾Ç Baire , Rene Louis ¸£³× ·çÀÌ º£¸£ Banach , Stefan ½ºÅ×ÆÇ ¹Ù³ªÈå Barbier , Joseph Emile Á¶Á¦ÇÁ ¿¡¹Ð ¹Ù¸£ºñ¿¡ Barrow , Issac ¾ÆÀÌÀÛ ¹è·Î Bayes , Thomas Åä¸¶½º º£ÀÌÁî Beltrami , Eugenio ¿¡¿ìÁ¦´Ï¿À º§Æ®¶ó¹Ì Bernoulli , Daniel ´Ù´Ï¿¤ º£¸£´¸®(º£¸£´©ÀÌ) Bernstein , Felix Æç¸¯½º º£¸¥½´Å¸ÀÎ Bertrand , Joseph Louis Francois Á¶Á¦ÇÁ ·çÀÌ ÇÁ¶û¼ö¾Æ º£¸£Æ®¶û Besicovitch , Abram Samoilovitch ¾Æºê¶÷ »ç¸ðÀÏ·ÎºñÄ¡ º£½ÄÚºñÄ¡ Betti , Enrico ¿£¸®ÄÚ º£Æ¼ Bezout , Etienne ¿¡Æ¼¿£ º£ÁÖ Bianchi , Luigi ·çÀÌÁö ºñ¾ÈÅ° Bieberbach , Ludwig Georg Elias ·çÆ®ºñÈ÷ °Ô¿À¸£Å© ¿¤¸®¾Æ½º ºñ¹ö¹ÙÈå Binet , Jacques Philippe Marie ÀÚÅ© ÇÊ¸³ ¸¶¸® ºñ³× Birkhoff , George David Á¶Áö µ¥ÀÌºñµå ¹öÄÚÇÁ Blichfeldt , Hans Frederick ÇÑ½º ÇÁ·¹µ¥¸¯ ºí¸®È÷ÆçÆ®(ºí¸¯ÆçÆ®) Bolyai , Farkas Wolfgan/Janos ÆÄ¸£Ä«½ º¼ÇÁ°/¾ß³ë½ º¸¿©ÀÌ (º¼¸®¾ÆÀÌ) Bolzano , Bernhard Placidus Johann Nepomuk º£¸¥ÇÏ¸£Æ® Ç¶óÄ¡µÎ½º ¿äÇÑ ³×Æ÷¹«Å© º¼Â÷³ë Bonnet , Pierre Ossian ÇÇ¿¡¸£ ¿À½¾Ó º¸³× Boole , George Á¶Áö ºÒ Borel , Felix Edouard Justin Emile Æç¸¯½º ¿¡µÎ¾Æ¸£ Áã½ºÅÊ ¿¡¹Ð º¸·¼ Borsuk , Karol Ä«·Ñ º¸¸£¼÷ Bourbaki, Nicolas ´ÏÄÝ¶ó ºÎ¸£¹ÙÅ°
Suche Nach Personen
Translate this page 1922 Lingenberg, Dr. Linke, Maschinenfabrik AEG Linné, Carl von (1707-1778)Linsenmann, Lion, Kurt liouville, joseph (1809-1882) Lippert, TW Lippmann
http://www.lrz-muenchen.de/~Sommerfeld/PersDat/L.html
Thomas Steiner's Homepage
Translate this page März, 21, Fourier, Jean-Babiste de, 1786, März, 22, März, 23, Noether, AmalieEmmy, 1882, März, 24, liouville, joseph, 1809, März, 25, März, 26, März, 27,Röngten, 1845,
http://fsmat.htu.tuwien.ac.at/~thire/mathkal.php

Extractions: Familie Freunde Irene Thomas ... Zugriffe Monat Tag Mathematiker Geburtstag Sterbetag Bernulli, Johann I Newton, Isaac Cramer, Gabriel Jordan, Camille Marie Ennemont Cantor, Georg Borel, Emil Galilei, Galileo Courant, Richard Legendre, Adrien-Marie Fermat, Pierre de Robbins, Herbert Ellis Halley, Edmond Dodgson, Charles Lutwidge (Lewis Caroll) Hermite, Charles Tarski, Alfred Menger, Karl Galton, Sir Francis Watt Kantorowitsch Jordan, Camille Marie Ennemont Hilbert, David Lagrange, Joseph Louis Schwarz, Hermann Amandus Briggs, Henry Dodgson, Charles Lutwidge (Lewis Caroll) Courant, Richard Ceulen, Ludolph von Pohlke, Karl-Wilhelm Kummer, Ernst Eduard Februar Heisenberg, Werner Februar Ferrari Februar Kuratowski Februar Waerden, Bartel Leendert van der
GAUSS, Karl Friedrich, Disquisitiones Generales Circa Seriem Infinitam [followed
ink stain on margin of one leaf, a very good, large, unpressed copy in marbled wrappers,earlier front wrapper titled and signed by joseph liouville bound in
http://www.polybiblio.com/watbooks/2546.html

Extractions: W. P. Watson Antiquarian Books GAUSS, Karl Friedrich Disquisitiones generales circa seriem infinitam [followed by the formula for the hypergeometric series]. [offprint from:] Commentationes Societatis Regiae Scientiarum Gottingensis, Tom. II, Classis mathematicae, 1812 [presented January 30 1812, the journal volume published 1813] 4to (254 x 204 mm), pp 46; some very slight browning, possible stamp removed from second leaf, small ink stain on margin of one leaf, a very good, large, unpressed copy in marbled wrappers, earlier front wrapper titled and signed by Joseph Liouville bound in at end. £7500 'In his monumental 1812 work, Disquisitiones generales circa seriem infinitam, Gauss investigated the hypergeometric series and noted that, for appropriately chosen parameters, most known functions could find representation through this series... in 1857 Riemann conjectured that functions so expressed, which satisfy a homogeneous linear differential equation of the second order with rational coefficients, might be employed in the solution of any linear differential equation. This provided an alternative approach to the power series development which had been presented by Cauchy and extended by Briot and Bouquet. With Riemann's work as inspiration these methods were synthesized and extended by Fuchs in a series of papers that began to appear in 1865' (DSB, under Fuchs).
Directory :: Look.com
Translate this page 1833). Leibnitz, Gottfried Wilhelm von Matemático alemán (1646 - 1716).liouville, joseph Matemático francés (1809 - 1882). Napier
http://www.look.com/searchroute/directorysearch.asp?p=121283
Verzeichnis | Mitglieder | Vorgängerakademien
Translate this page LINTZEL, Martin, * 28.02.1901, 15.07.1955, liouville, joseph, * 24.03.1809, 08.09.1882, LIPPMANN, Gabriel, * 16.08.1845, 13.07.1921,
http://www.bbaw.de/archivbbaw/akademiemitglieder/vorgaengermitglieder_l.html

Extractions: LABUDA, Gerard LABUS, Giovanni LA CAILLE, Nicolas-Louis de LACASSAGNE, Antoine ... LANGE, Johann Joachim gt. 25.05.1699 LANGE Karl Nikolaus LANGE, Samuel Gotthold LANGE, Werner LANGENBECK, Bernhard ... LEHMANN, Ambrosius * gt. 20.12.1666 LEHMANN, Edgar LEHMANN, Johann Christian LEHMANN, Johann Gottlob LEHMANN, Maximilian (Max) ... LUISCIUS, Abraham Georg * vor 1693 LULOFS, Johann LUMBROSO, Giacomo LUPICHIUS, Sigismund gt. 18.01.1680 LUSCHIN VON EBENGREUTH, Arnold LUSK, Graham LYELL, Sir (1840) Charles LYONET, Pierre
History Of Astronomy: Persons (L)
Lineberger, William Carl (b. 1939) Very short biography. liouville,joseph (18091882) Biography and references (MacTutor Hist. Math
http://www.astro.uni-bonn.de/~pbrosche/persons/pers_l.html
Journaux électroniques
liouville, joseph Sur une équation différentielle du premierordre; Lobatchevski, Nikolaï Ivanovitch La théorie des parallèles;
http://bibcmi.univ-mrs.fr/numbooks.html

Extractions: Abel, Niels Henrik : Oeuvres complètes. Tome I Abel, Niels Henrik : Oeuvres complètes. Tome II Académie des sciences (France) : Mémoires de l'Académie royale des sciences : depuis 1666, jusqu'à 1699. Tome V Académie des sciences (France) : Mémoires de l'Académie royale des sciences : depuis 1666, jusqu'à 1699. Tome VII. Partie II ... Walras, Léon : Théorie mathématique de la richesse sociale
Math Trek : Absolutely Abnormal, Science News Online, Nov. 3, 2001
Martin's formulation of this number and proof of its absolute abnormality involvedsocalled liouville numbers, named for joseph liouville (18091882).
http://www.sciencenews.org/20011103/mathtrek.asp

Extractions: Week of Nov. 3, 2001; Vol. 160, No. 18 Ivars Peterson Identifying the normal (or even the abnormal) in mathematics can pose serious difficulties. In 1909, mathematician Émile Borel (18711956) introduced the concept of normality as one way to characterize the resemblance between the digits of a mathematical constant such as pi (the ratio of a circle's circumference to its diameter) and a sequence of random numbers. If a number is normal, digit sequences of the same length occur with the same frequency. A constant would be considered normal to base 10 if any single digit in its decimal expansion appears one-tenth of the time, any two-digit combination one-hundredth of the time, any three-digit combination one-thousandth of the time, and so on. In the case of pi, you would expect the digit 7 to appear 1 million times among the first 10 million decimal digits of pi. It actually occurs 1,000,207 timesclose to the expected value. Each of the other digits also turns up with approximately the same frequency, showing no significant departure from predictions. A number is said to be "absolutely normal" if its digits are normal not only to base 10 but also to every integer base greater than or equal to 2. In base 2, for example, the digits 1 and would appear equally often.
Abstracts Of Two Of Jesper Lützen's Talks In Sweden
joseph liouville 18091882. joseph liouville was one of the leading Frenchmathematicians in the generation between Galois and Hermite.
http://www.math.uu.se/~kiselman/lutzena.html

Extractions: Prinzipien der Mechanik . I shall end the talk with a brief account of this book because it is the first thorough treatment of mechanics based on differential geometry. The talk does not presuppose special knowledge of neither differential geometry nor mechanics. Joseph Liouville was one of the leading French mathematicians in the generation between Galois and Hermite. He made important contributions to Sturm-Liouville theory, transcendental numbers, differential geometry, mechanics, etc.... In the talk I shall fit these works into a general biography of Liouville. Moreover, I shall briefly analyze some of Liouville's highly interesting unpublished ideas that he left in his notebooks. 1997 04 11; cok@math.uu.se
Matematiska Institutionens Veckoblad, Nr 670
joseph liouville (18091882). Master of pure and applied mathematics. josephliouville 1809-1882. Master of pure and applied mathematics.
http://www.math.uu.se/bullen/html/bull670.html

Extractions: Sammanfattning: Låt m vara Gaussmåttet pi e -x dx på R och låt M r vara Mehlertransformen, som t.ex. kan definieras av M r a n h n a n r n h n där h n är Hermitepolynomen. Nelsons hyperkontraktivitetssats säger att M r är en kontraktion från L p (m) till L q (m) om och r är reell med r . Frågan om för vilka komplexa r som resultatet gäller har studerats av Weissler och Epperson. Jag ämnar ge ett nytt bevis för deras resultat, med användning av Brownsk rörelse och Itokalkyl. (Se även min nyligen utkomna rapport On complex hypercontractivity Logikseminariet Per Martin-Löf Översikt: Hittills har man endast med datorers hjälp kunnat bevisa icke-triviala satser om Lorenz-systemet. Dessa bevis har alltid utgjorts av ett "rent" matematiskt argument som sedan omsatts i många triviala beräkningar. Jag tänker presentera en liknande angreppsmetod och även tala om ovanliga svårigheter som uppstår i samband med datorstödda bevis.
Ivars Peterson's MathTrek - Absolutely Abnormal
Martin's formulation of this number and proof of its absolute abnormality involvedsocalled liouville numbers, named for joseph liouville (1809-1882).
http://www.maa.org/mathland/mathtrek_11_05_01.html

Extractions: Ivars Peterson's MathTrek November 5, 2001 Identifying the normal (or even the abnormal) in mathematics can pose serious difficulties. If a number is normal, digit sequences of the same length occur with the same frequency. A constant would be considered normal to base 10 if any single digit in its decimal expansion appears one-tenth of the time, any two-digit combination one-hundredth of the time, any three-digit combination one-thousandth of the time, and so on. In the case of pi, you would expect the digit 7 to appear 1 million times among the first 10 million decimal digits of pi. It actually occurs 1,000,207 timesclose to the expected value. Each of the other digits also turns up with approximately the same frequency, showing no significant departure from predictions. A number is said to be "absolutely normal" if its digits are normal not only to base 10 but also to every integer base greater than or equal to 2. In base 2, for example, the digits 1 and would appear equally often. Borel established that there are lots of normal numbers. Finding a specific example of a normal number, however, proved much more difficult. In 1933, D.G. Champernowne showed that the carefully constructed number 0.12345678910111213. . ., created by writing all the positive integers in a row as a single decimal, is normal to base 10. You can construct analogous normal numbers for other bases.
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Bernhard (1826.6.17~1866.7.20) ? Riesz Frigyes (1880.1.22~1956.2.28) ? liouville, joseph (1809.3.24~1882.9.8) Ricci
http://user.chollian.net/~jjang88/mathman/mathman.htm
Liouville's Theorem
(4.1). (4.2). where the Hamiltonian can be a function of all thecoordinates and time. Figure joseph liouville (18091882). French
http://astron.berkeley.edu/~jrg/ay202/node27.html

Extractions: Next: The distribution function Up: Kinetic Theory Previous: Kinetic Theory Contents Many systems encountered in nature can be described by a finite set of real variables that evolve in time. For example, in the study of two stars, moving under the influence of their mutual gravitational force, we are interested in the positions of the stars as functions of time. The position of each star can be described by three coordinates (in three-dimensional space) so that the full system can be described by a total of six functions of time. The quantities (with ) are called dynamical variables; obviously, we are free to choose any other set of independent, single-valued functions of as dynamical variables to describe the system, with the particular choice often dictated by mathematical convenience. The central problem of dynamics is related to determining the time dependence of and studying the general characteristics of motion. It turns out that the evolution of any physical system can be described in terms of differential equations that are (at most) second order in time in some suitably chosen variables. This implies that we could determine the functions for all if we know the quantities at . In general, the initial conditions could also be specified in terms of any other set of
UCLA Distinguished Lecturers
Lecture April 8, MS 6627, 4 5 PM. Title joseph liouville Masterof Pure and Applied Mathematics. joseph liouville (1809-1882
http://www.math.ucla.edu/dls/2002/lutzen.html

Extractions: Title: Joseph Liouville: Master of Pure and Applied Mathematics Joseph Liouville (1809-1882) was the leading French mathematician in the generation between Galois and Hermite. He made important contributions to Sturm-Liouville Theory, transcendental numbers, differential geometry, mechanics, etc....In the talk, Professor Lutzen shall fit these works into a general biography of Liouville. Moreover, Lutzen will briefly analyze some of Liouville's highly interesting unpublished ideas that he left in his notebooks. Lecture: April 10, MS 6627, 4 - 5 PM
Informations Généalogiques
Translate this page Famille Thirion - liouville, liouville, Anne, Thirion, Françoise, Retour àla page principale. Roitel, Jean, Roitel, joseph, Retour à la page principale.
http://perso.club-internet.fr/rweinl/dat57.htm
Liouville Number - Wikipedia
In 1844, joseph liouville showed that numbers of with this property arenot just irrational, but are always transcendental (see proof below).
http://www.wikipedia.org/wiki/Liouville_number

Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help From Wikipedia, the free encyclopedia. In number theory , a Liouville number is a real number x with the property that, for any positive integer n , there exist integers p and q with q > 1 and such that A Liouville number can then be approximated "quite closely" by a sequence of rational numbers. An equivalent definition is that for any positive integer n , there exists an infinite number of pairs of integers ( p q ) obeying the above inequality. It is relatively easily proven that if x is a Liouville number, x is irrational . Assume otherwise; then there exists integers c d with x c d . Let n be a positive integer such that 2 n d . Then if p and q are integers such that q p q c d , then which contradicts the above definition.
News
liouville, joseph; 24.03.1809- 08.09.1882;@T(Saint-Omer/F; Paris/F) www01a,www03,74.2(v),76.4(vi) - CAUCHY, Augustin
http://home.gelsen-net.de/ppose/mathe_news_ss2002.html
So Biografias: Britanicos Em L
Translate this page de Oliveira Linacre, Thomas Lincoln, Abraham Lind, James Lindbergh, Charles AugustusLinde, Carl von Lineu Linné, Carl von liouville, joseph Lipmann, Fritz
http://www.sobiografias.hpg.ig.com.br/LetraLB.html

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