Math Words Page 13 In 1771 alexandreTheophile vandermonde (1735-1796) wrote the paper { Remarquessur les probl`emes de situation } (Remarks on problems of positions) where he http://www.pballew.net/arithm13.html
Extractions: Aliquot parts of a number are proper divisors of the number that are smaller than the number. The aliquot parts of six are one, two, and three. The word joins two unlikely partners, the Latin ali for "other" and quot for how many. Together they came to mean a part of something, in this case, a part of the number of which it is a factor. The "other" meaning of ali remains today in words like alius, alibi, and alien. The quot root remains in quotient. Aliquot chains, sometimes called sociable chains , are formed by taking the sum of the aliquot parts and adding them to form a new number, then repeating this process on the next number. For some numbers, the result will bring you directly back to the original number. In that case the two numbers are called amicable numbers . For example, 220 and 284 are amicable numbers. The divisors of 220 are 1, 2, 3, 4, 10, 11, 20, 22, 44, 55, 110 and if you add all these numbers together, you can see they sum to 284. The aliquot parts of 284 are 1, 2, 4, 71, 142 and these sum to 220. The relationship between 220 and 284 was known at least as far back as Pythagorus (500 BC). Sam Kutler has written to tell me that the first use of a term like "friend" for the pair was in a commentary on the work of Nicomachus by Iamblichus, around 300 AD. He also thought the Greek term was
Full Alphabetical Index Translate this page Luca (278) Vallée Poussin, C de la (382*) van Amringe, Howard (354*) van Ceulen,Ludolph (223) van Dantzig, David (55) vandermonde, alexandre (115) van der http://www.geocities.com/Heartland/Plains/4142/matematici.html
Famaj Matematikistoj teorio pri serioj. 1735, alexandre Theophile, vandermonde, 17351796(61), teorio pri ekvacioj; determinantoj. 1736, Joseph Louis, LAGRANGE, http://www.geocities.com/CapeCanaveral/Hall/2389/famajmat.htm
Extractions: jaro antaunomo familia nomo vivdatoj verkis pri AHMES verkis la taskaron "Papiruso Rhind" THALES DE MILET geometrio; astronomio, filozofio PYTHAGORAS instruis astronomion, matematikon, muziksciencon kaj filozofion ZENON DE ELEA filozofio (tezoj pri la ne-ebleco de movado) DEMOKRITOS DE ABDERA geometrio; fondinto de la atomteorio HIPPASOS geometrio; teorio pri muziko; nekomunoneco (la radiko de 2 ne estas racionala nombro) HIPPOKRATES DE CHIOS geometrio; instru-libro simile al "Euklid" PLATON filozofio; subtenis la esploradon matematikan ARCHYTAS DE TARENT aritmetiko HIPPIAS DE ELIS Delia Problemo THEAITETOS geometrio EUDOXOS DE KNIDOS teorio pri proporcioj; mehxaniko THEODOROS DE KYRENE neracionaleco de la kvadrat-radikoj de 3, 5, 6, 7, 8, 10, ..., 17 PHILOLAOS DE TARENT raportis pri la teoremoj pri nombroj de la Pitagoreuloj EUKLEIDES DE ALEXANDRIA geometrio (eldonisto de la "Elementoj"), didaktiko MENAICHMOS konikoj EUDEMOS DE RHODOS historio pri geometrio AUTOLYKOS DE PITANE sferogeometrio ARCHIMEDES geometrio; stimo (alproksimigo) de la nombro Pi
Siti Centre d'Histoire de la pensée économique. Centre alexandre vandermonde, ENSFontenay. Centre Auguste et Léon Walras, Université de Lyon II et CNRS. http://www.cce.unifi.it/dse/spe/siti.htm
Extractions: Announcements Researches Societies Journals ... Documents Behavioral Research Council (A.I.E.R.) conference on behavioral economics, July 19-20, 2002, Great Barrington, Massachusetts New journal: Eighteenth-Century Thought International Thorstein Veblen Association conference, May 11-12, 2002, New York Association Charles Gide conference, June 20-21, 2002 Universite du Quebec, Montreal Canada ... Turgot (1727-1781), our Contemporary, May 7-10, 2003, Lantheuil Castle (Calvados, France) Centre d'Histoire de la pensée économique Centre Alexandre Vandermonde, ENS Fontenay Centre Auguste et Léon Walras, Université de Lyon II et CNRS Groupe de Recherche en Epistémologie Socio-Economique (GRESE), Université de Paris I ... Ludwig von Mises Institute European Society for the History of Economic Thought (ESHET) Association Charles Gide (France ... Dutch-Flemish Society for the History of Economic Thought (Netherlands) Associazione italiana per la Storia del pensiero economico (Italy) Società italiana degli economisti (SIE) Societa Italiana degli Storici dell'Economia (SISE) (Italy) Society for the History of Economic Thought (Japan) Society for the Development of Austrian Economics History of Economic Thought Committee of the German Speaking Economists (German) THE ECONOMIC HISTORY SOCIETY AUSTRALIA AND NEW ZEALAND English language Annals of the Society for the History of Economic Thought (Japan) Cromohs. Cyber Review of Modern Historiography
CISEP - Centro De Investigação Sobre Economia Portuguesa ORGANISATIONS ASSOCIATIONS. History of Economics Society. RESEARCH INSTITUTES.Centre alexandre vandermonde. Centre d'Histoire de la Pensée Economique. http://pascal.iseg.utl.pt/~cisep/uk/internet.html
Extractions: ECONOMICS Working Paper Archive EDIRC - Economics Departments, Institutes and Research Centers in the World Inomics Welcome WoPEc main page American Journal of Managed Care Drug Information Journal ISPOR Newsletter Journal of Health Economics ... The International Health Economics Association Groupe de Recherche en Epistémologie Socio-Economique (GRESE) gyd institut httpwww.york.ac.uk-depts-hsce- Istituto di Ricerche Farmacologiche Mario Negri ... UPHS Division of General Internal Medicine Health Services Research Unit GASA ECO - The Climate Action Network Newsletter AGHTM - L'association française des spécialistes de l'environnement CEDAR - Central European Environmental Data Request Facility ... WRI - World Resources Institute Centre International de Recherche sur l'Environnement et le Développement CICERO - Center for International Climate and Environmental Research Climneg-Climbel Homepage Fondazione Eni Enrico Mattei Statistical Resources on the Web Economic Growth Resources Education Statistics-UNESCO OCDE Statistics ONU Statistics ... Documentation, evaluation and monotoring employment policies (sysdemII)
Earliest Known Uses Of Some Of The Words Of Mathematics (K) KNOT. The first mathematical paper which mentions knots is Remarques sur les problemesde situation (1771) by alexandreTheophile vandermonde (1735-1796). http://members.aol.com/jeff570/k.html
Extractions: Earliest Known Uses of Some of the Words of Mathematics (K) Last revision: Dec. 8, 2001 k-STATISTICS. k-statistics are sample cumulants and were introduced with them by R. A. Fisher in 1929. The term "k-statistic" appears in the 1932 edition of his Statistical Methods for Research Workers [John Aldrich]. KERNEL (an integrand). David Hilbert used the German word kern in (Math.-physik. Kl.) (1904) 49 (OED2) Kernel occurs in English in 1909 in Introd. Study Integral Equations KERNEL (elements mapped into identity element) is found in English in 1946 in E. Lehmer's translation of Pontrjagin's Topological Groups KITE. Deltoid appears in 1879 in Dictionary of Scientific Terms Deltoid, a four-sided figure formed of two unequal isosceles triangles on opposite sides of a common base" (OED2). Kite appears as a geometric term in the 1893 Funk and Wagnalls Standard Dictionary. KLEIN BOTTLE occurs in C. Tompkins, "A flat Klein bottle isometrically embedded euclidean 4-space," Bull. Am. Math. Soc. KLEIN FOUR GROUP. Vierergruppe is found in 1884 in Vorlesungen uber das Ikosaeder und die Aufloesung der Gleichungen vom funften Grade by Felix Klein: Offenbar umfasst unsere neue Gruppe von der Identitaet abgesehen nur Operationen von der Periode 2, und es ist zufaellig, das wir eine dieser Operationen an die Hauptaxe der Figur, die beiden anderen an die Nebenaxe geknupft haben. Dementsprechend will ich die Gruppe mit einem besonderen Namen belegen, der nicht mehr and die Dieder- configuration erinnert, und sie als
Río Negro Online / Opinión Translate this page Tempranamente alexandre vandermonde en 1794, en oportunidad de la inauguraciónde la línea telegráfica París â Lille anticipó alborozado desde su http://www.rionegro.com.ar/arch200301/o25j01.html
Extractions: A principios del siglo pasado el adalid del anarquismo ruso, Priot Kropotkin, militaba en la causa de la electricidad y los motores eléctricos. Decía que la economía del vapor y el carbón habían creado el monstruoso capitalismo porque obligaban a la concentración y el gigantismo. La dispersión que permite la energía eléctrica, fácil de transmitir a distancias largas, permitiría la liberación de las comunidades y sus individuos, sacándose de encima el yugo de los monopolios. La consigna leninista de "soviets más electricidad" estuvo evidentemente fundada en esta visión. Pues bien, pronto hubo motores eléctricos por todos lados, pero el capitalismo fue creciendo a la par de su difusión.
A Short History 1771 alexandre Theophile vandermonde (17351796) solves the irreducible cyclotomicequation 11 (z - 1) 10 9 8 7 6 5 4 3 2 - z + z + z + z + z + z + z http://library.wolfram.com/examples/quintic/timeline.html
Extractions: Girolamo Cardan (1501-1576) gives the complete solution of cubics in his book, The Great Art, or the Rules of Algebra . Complex numbers had been rejected for quadratics as absurd, but now they are needed in Cardan's formula to express real solutions. The Great Art also includes the solution of the quartic equation by Ludovico Ferrari (1522-1565), but it is played down because it was believed to be absurd to take a quantity to the fourth power, given that there are only three dimensions.
Qualificações E Experiência OF and AT Suzuki, Uma prova original para os teoremas de vandermonde e de Degree Masterin Physics Student Mr. alexandre Grezzi de Miranda Schmidt Institution http://origins.swau.edu/who/suzuki/csuzuki99.html
Extractions: Qualificações e Experiência Alfredo Suzuki, Ph.D. Física Nuclear Teorética EDUCAÇO Doutorado: PhD, University of London, Queen Mary College, Physics Department London England Period: October, 1981 through August, 1986 Publicações D. M. Capper, D. R. T. Jones, and A. T. Suzuki, "The lightcone gauge at two loops: The scalar anomalous dimension", Z. Phys. C Particles and Fields 29, 585 (1985) A. T. Suzuki, "Oneloop threegluon vertex and power counting in the lightcone gauge", Z. Phys. C Particles and Fields 38, 595 (1988) A. T. Suzuki, "2 w dimensional lightcone integrals with momentum shift", J. Math. Phys. 29, 1032 (1988) B. M. Pimentel, and A. T. Suzuki, "The lightcone gauge and the (causal) principalvalue prescription", Phys. Rev. D42, 2215 (1990) B. M. Pimentel, and A. T. Suzuki, "Causal prescription for the lightcone gauge", Modern Phys. Lett. A6, 2649 (1991) B. M. Pimentel, A. T. Suzuki, and J. L. Tomazelli, "Vacuum polarization tensor in threedimensional quantum electrodynamics", Intern. Journ. Modern Phys. A7, 5307 (1992) A. T. Suzuki, "Evaluating oneloop lightcone integrals by covariantizing the gaugedependent pole", Modern Phys. Lett. A8, 2365 (1993)
Algèbre Linéaire. Vecteurs Et Géométrie, 2e édition Translate this page Note historique - Pierre-Simon de Laplace 2.4 Exercices 2.5 Propriétés des déterminantsNote historique - alexandre Théophile vandermonde 2.6 Exercices 2.7 http://www.griffondargile.com/algebrevg.htm
Extractions: Gilles Ouellet Cette deuxième édition de Algèbre linéaire est le fruit dune étroite collaboration entre un auteur expérimenté et une équipe éditoriale dynamique. Le résultat : un manuel moderne soutenu par une démarche mathématique rigoureuse. Écrit dans un langage simple et abondamment illustré, cet ouvrage constitue un outil de premier choix pour létude de lalgèbre linéaire. Les concepts mathématiques sont présentés selon une approche intuitive et les explications théoriques sont ponctuées dexemples détaillés. De nombreux repères visuels ainsi quune utilisation judicieuse de la couleur favorisent aussi lacquisition des connaissances. Algèbre linéaire. Vecteurs et géométrie
Untitled alexandre Théophile vandermonde (17351796) was lid van de Académie des Scienceste Parijs en directeur van de Conservatoire des Arts et Métiers. http://allserv.rug.ac.be/~gvdbergh/files/hist5.html
Extractions: Historische Noot bij de Wetenschappers geciteerd in hoofdstuk V Numerieke Analyse eindige differentie calculus . Ook nu nog is er plaats voor handrekenwerk in combinatie met zakrekenmachines, vooral bij het gebruik van functies die optreden in wiskundige natuurkunde. Een goed basiswerk met uitgebreide tabellen is M. Abramowitz and I. Stegun, Handbook of Mathematical Functions , National Bureau of Standards (1964). Naast Gauss en Newton, wier bibliografische nota's reeds in een vorig hoofdstuk aan de orde kwamen, is Lagrange James Stirling Friedrich Wilhelm Bessel Charles Hermite (18221901) heeft veel belangrijk onderzoek verricht op het gebied van de hogere analyse (o.m. over de functies van Abel en de elliptische functies). Hij leverde ook een bewijs van het transcendent karakter van het getal e , de basis van de natuurlijke logaritmen.
Lebensdaten Von Mathematikern Translate this page 1962) van Ceulen, Ludolf (28.1.1540 - 31.12.1610) van Dantzig, David (23.9.1900 -22.7.1959) vandermonde, alexandre Theophile (28.2.1735 - 1.1.1796) van der Pol http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
Extractions: Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
Durkheim People Philippe Steiner, Centre alexandre vandermonde, Ecole Normale Superieurede Fontenay, 31 Avenue Lombart, 92260 Fontenayaux-Roses, FRANCE. http://www.relst.uiuc.edu/durkheim/Scholars.html
Extractions: The purpose of this page is to provide information about the ongoing activities of Durkheim scholars around the world. This page will be continuously updated, and also cross-linked with other Durkheim pages, to provide the latest information about Durkheim projects in progress. For additional information, or to provide additional information, contact rajones@uiuc.edu. Parvase A. Abbassi, Department of Sociology, South Gujarat University, Udhna-Magdalla Road, Box 49, Surat 395 007, INDIA Prof. Martin C. Albrow, Dept. Sociology/ Social Admin., Roehampton Institute. Southlands College, Wimbledon Parkside, London, SW 195, U.K. Prof. Jeffrey C. Alexander, Dept of Sociology, University of California- L.A., 405 Hilgard Ave, Los Angeles, California 90024, U.S.A. Nick Allen, Institute of Social and Cultural Anthropology, 51, Banbury Road, OXFORD, OX2 6PE Ben Amos Avner, 32 Hamilton Road, OXFORD, OX2 7PZ, U.K. Daniela Barbaris, University of Chicago, Social Sciences 205, 1126 E 59th Street, Chicago, ILL 60637, U.S.A. Pierre Belanger, # 1142 Education Universite Laval, Ste-Foy, Quebec, GIK 7PU, CANADA
Extractions: "For readers interested in the timely topic of alien species invasions, Meinesz's book . . . carefully details the ecological and political ramifications of an exotic and toxic seaweed first seen in the Mediterranean in 1988. This is a fascinating, and at the same time depressing, account of the spread of the cosmopolitan tropical green alga . . . and how the invastion could have been held in check had the author's early warnings been heeded. . . . Akin to Rachel Carson's Silent Spring, Killer Algae
Boletin Matematico Página 8 Universidad De Morón Www.unimoron.edu.ar Translate this page Isaac Newton, Blaise Pascal, Jacques Bernoulli y Gottfried Leibniz en el siguiente,Gaspard Monge, Pierre de Laplace, alexandre vandermonde, Leonhard Euler y http://www.unimoron.edu.ar/espa/informacion/academica/facultades/economicas/bole
Extractions: Sólo para dar una idea de la importancia de los personajes a los que me estoy refiriendo voy a dar una muy somera lista: Gerolamo Cárdamo y Galileo Galilei en el siglo XVI, Pierre de Fermat, John Napier (Neper), el ya mencionado Descartes, Isaac Barrow, Isaac Newton, Blaise Pascal, Jacques Bernoulli y Gottfried Leibniz en el siguiente, Gaspard Monge, Pierre de Laplace, Alexandre Vandermonde, Leonhard Euler y Joseph Lagrange en el XVIII, y en el siglo XIX, Carl Gauss, Agustín Cauchy, Georg Cantor, Joseph Fourier, Bernard Riemann, Karl Jacobi, Pierre Sarrus, Marie Jordan y Arthur Cayley, quién puso el nombre de matriz al cuadro de valores que conocemos, fueron algunos de los matemáticos que basaron sus teorías y teoremas en la lógica aristotélica. Pero, olvidemos por un momento a las matemáticas y acerquémonos a la literatura. Los que crean que me volví loco, tal vez tengan razón, pero igual sigan leyendo un poco más, es posible que les resulte divertido. Miguel de Cervantes Saavedra (1547 - 1616), escribió La Verdadera Historia del Hidalgo Don Quijote de la Mancha alrededor del 1600, siendo publicada la parte I, aquella que comienza diciendo :
Neue Seite 1 Translate this page van Dantzig, David (23.9.1900 - 22.7.1959). vandermonde, alexandre Theophile(28.2.1735 - 1.1.1796). van der Pol, Balthasar (1889 - 1959. http://www.mathe-ecke.de/mathematiker.htm
Extractions: Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843) Aepinus, Franz Ulrich Theodosius (13.12.1724 - 10.8.1802) Agnesi, Maria (1718 - 1799) Ahlfors, Lars (1907 - 1996) Ahmed ibn Yusuf (835 - 912) Ahmes (um 1680 - um 1620 v. Chr.) Aida Yasuaki (1747 - 1817) Aiken, Howard Hathaway (1900 - 1973) Airy, George Biddell (27.7.1801 - 2.1.1892) Aithoff, David (1854 - 1934) Aitken, Alexander (1895 - 1967) Ajima, Chokuyen (1732 - 1798) Akhiezer, Naum Il'ich (1901 - 1980) al'Battani, Abu Allah (um 850 - 929) al'Biruni, Abu Arrayhan (973 - 1048) al'Chaijami (? - 1123) al'Haitam, Abu Ali (965 - 1039) al'Kashi, Ghiyath (1390 - 1450) al'Khwarizmi, Abu Abd-Allah ibn Musa (um 790 - um 850) Albanese, Giacomo (1890 - 1948) Albert von Sachsen (1316 - 8.7.1390)
Extractions: How the "Calculus of Enthusiasm" Saved France End of Page Strategy Page Site Map Overview Page During his campaign for the Democratic Presidential nomination last July, Lyndon LaRouche compared his battle to turn around the disastrous situation in the United States to the military campaign carried out by Lazare Carnot (1753-1823) in France during period of the French Revolution. He referenced Carnot in the following terms: ``Back in 1793, France, under a terrible government, was overrun by invading armies which were victorious on every front. The word in Paris was that the defeat and consequent dismemberment of France, was a military inevitability. At that point they found a `sucker' to take over the defense forces of France. His name was Lazare Carnot. He was a rather famous military genius, who had once spent time in the Bastille because of court politics; who had been a student of Gaspard Monge (1746-1818), who was the leading scientific thinker of France, and, at that point, of Europe. ``Lazare Carnot, under condition of imminent defeat, reorganized the policies, the military policies of France, and its armiesoften fired major-generals to replace them with sergeants, quite successfully, if he found the major-generals keeping the troops in the barracks too long, or if they didn't cross the river that night, but rather waited for the next morning, things like thatterrible crimes.
Knots And Links were not treated as mathematical objects until the eighteenth and nineteenth centuries,when mathematicians including alexandreTheophile vandermonde (1735-1796 http://lucien.blight.com/~cr/knots.html
Extractions: When Alexander reached Gordium, he was seized with a longing to ascend to the acropolis... to see Gordius's wagon and the knot of the wagon's yoke... There was a legend about the wagon, that anyone who untied the knot of the yoke would rule Asia. The knot was of cornel bark, and you could not see where it began or ended. Alexander was unable to find how to untie the knot but unwilling to leave it tied... Some say he struck it with his sword, cut the knot, and said it was now untied-but Aristobulus says that he took out the pole-pin, a bolt driven right through the pole, holding the knot together, and so removed the yoke from the pole. I cannot say with confidence what Alexander actually did about this knot, but he and his suite certainly left the wagon with the impression that the oracle about the undoing of the knot had been fulfilled... Lucius Flavius Arrianus, Anabasis Alexandri, Book II, c. 150 A.D. A Knotty Puzzle. Unlike some other branches of mathematics, which may contain a number of interesting and/or unsolved puzzles, knot theory basically is a puzzle. This puzzle, at its most basic, is: given any knot (such as the one pictured left) is it the same as or different from some other knot (such as the one to the right)? While not exactly the same as topology (a knotted torus is still a torus), knot theory is similar to topology in that it involves the study of certain invariant properties-the knottedness of a knot, so to speak-while other properties, such as size, color, and the arrangement of the strands, do not affect the object under study. Thus, two identical knots may look very different, while two different knots may look very similar.
History Of Mathematics: Chronology Of Mathematicians A list of all of the important mathematicians working in a given century.Category Science Math Mathematicians Directories 17341799); Fujita Sadasuke (1734-1807); alexandre-Théophile vandermonde(1735-1796) *MT; Erland Samuel Bring (1736-1798) *MT; Charles http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Extractions: Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB
Extractions: Proceedings of SPIE Vol. #4791 Conference Chair: Franklin T. Luk, Chinese Univ. of Hong Kong Program Committee: Daniela Calvetti, Case Western Reserve Univ.; Leon Cohen, CUNY/Hunter College and Graduate Ctr.; Ed F. Deprettere, Univ. Leiden (Netherlands); Graham A. Jullien, Univ. of Calgary (Canada); Patrick J. Loughlin, Univ. of Pittsburgh; Vadim Olshevsky, Georgia State Univ.; Robert J. Plemmons, Wake Forest Univ.; Alexandre F. Tenca, Oregon State Univ.; William J. Williams, Univ. of Michigan; Kung Yao, Univ. of California/Los Angeles Room 620 Tues. 8:00 am Chairs: Leon Cohen, CUNY/Hunter College and Graduate Ctr.; Patrick J. Loughlin, Univ. of Pittsburgh; William J. Williams, Univ. of Michigan 8:00 am: Generation and denoising of images with clouds, G. Cristobal, Consejo Superior de Investigaciones Cientificas (Spain); L. Galleani, Politecnico di Torino (Italy); L. Cohen, CUNY/Hunter College and Graduate Ctr.; B. W. Suter, Air Force Research Lab. [4791-01]
