61. Loodus- Ja Täppisteadlaste Eluaastaid 18421899) (NOR matemaatik) Liouville, Joseph (1809-1882) (FRA matemaatik) lipschitz,rudolf Otto Sigismund (1832-1903) (matemaatik) Lobatðevski, Nikolai (1792 http://www.physic.ut.ee/~janro/

A B C D ... Y A Abbe, Ernst Abbot, Charles Greeley Abel, Niels Henrik (1802-1829) (NOR matemaatik) Abelson, Philip Hauge Abraham, Max Abrikossov, Aleksei A. Adams, John Couch (1819-1892) (GBR astronoom) Aepinus, Franz Ulrich Theodor Agnesi, Maira Gaetana (1718-1799) (matemaatik) d'Alembert, Jean Baptiste Le Round (1717-1783) (FRA filosoof ja matemaatik) Amontons, Guillaume Ampére, André Marie Anaxagoras Anaximandros Anaximenes Apollonios, Pergest (~260-~170 e.m.a.) (kreeka matemaatik) Arago, Dominique Francois Aragon Armand Archimedes Aristarchos (320-250 e.m.a.) Aristoteles Arzela, Cesare (1847-1912) (matemaatik) Tagasi algusesse / Up B Babinet, Jacques Bacon, Roger (1214-1294) (inglise filosoof ja looduseuurija) Baire, Louis René (1874-1932) (matemaatik) Banach, Stefan (1892-1945) (POL matemaatik) Barrow, Isaac Bartels, Johann Martin Christian (1769-1836) (matemaatik) Bartholinus, Erasmus (1625-1698) (DEN loodusteadlane) Bateman, Harry (1882-1946) (matemaatik) Bayes, Thomas (1702-1761) (GBR matemaatik) Becquerel, Antoine Henri Bell, Alexander Graham

62. Einleitung Translate this page Gerade zu diesem Zweck (natürlich ohne den Banachschen Fixpunktsatz zu kennen) wurdediese Bedingung 1868 von rudolf lipschitz (1832-1903) eigentlich ersonnen http://page.mi.fu-berlin.de/~berninge/Diplom/node2.html

Diplom Vorherige Seite: Inhalt Inhalt Einleitung das oder , S. 543], [ , S. 150] und [ , S. 9 f] (siehe auch [ , Vol. 1, S. 63]. Die Menge der Lipschitz-stetigen Funktionen auf einem Kompaktum bildet einen (dichten) Unterraum im Raum aller stetigen Funktionen auf , macht. Alle Funktionen, deren Steigungen lokal gegen Null gehen, bilden darin einen abgeschlossenen Unterraum, den kleinen Lipschitzraum als komplementierter Unterraum von gefunden und in ein zu und bzw. und zu wird durch den isometrischen Isomorphismus unterstrichen, der zwischen und immer dann existiert, wenn , versehen mit geeigneten Metriken, ein abgeschlossener Unterraum von angegeben, in dem sich als echtes -Ideal erweist. ``Und gewinnt das Ufer und eilet fort Und danket dem rettenden Gotte, Den Pfad ihm sperrend, und schnaubet Mord Und hemmet des Wanderers Eile Mit drohend geschwungener Keule.'' Diplom Vorherige Seite: Inhalt Inhalt Heiko Berninger 2003-04-25

63. The Mathematics Genealogy Project - Index Of LIP Lipps, Theodor, Rheinische FriedrichWilhelms-Universität Bonn, 1874. lipschitz,rudolf, Universität Berlin, 1853. Lipschutz, Seymour, New York University, 1960. http://www.genealogy.ams.org/html/letter.phtml?letter=LIP

64. The Mathematics Genealogy Project - Index Of LIP Lipps, Gottlob, Universität Leipzig, 1888. Lipps, Herbert, LudwigMaximilians-UniversitätMünchen, 1954. lipschitz, rudolf, Universität Berlin, 1853. http://genealogy.impa.br/html/letter.phtml?letter=LIP

65. AAS Database - Browse - List 7, Lippman, Stanley B. 1, Lippmann, Horst. 1, Lippmann, Richard P. 1, Lipps, H.1, lipschitz, rudolf Otto Sigismund. 1, Lipschutz, Martin M. 12, Lipschutz, Seymour. http://valeph.tau.ac.il/ALEPH/ENG/ATA/AAS/AAS/SCAN-F/2122683

AAS database - Browse - AUTHOR list - ALL DOCUMENTS The numbers in the list below indicate the number of documents listed under a term. To display the documents, click on an eye . To move up or down the list, click on the arrow. Lippard, Stephen J. Lipperheide, Reinhard Lippert, Ernst Lippincott, W. T. Lippman, Friedrich Lippman, Stanley B. Lippmann, Horst Lippmann, Richard P. Lipps, H. Lipschitz, Rudolf Otto Sigismund Lipschutz, Martin M. Lipschutz, Seymour

66. No Title 16. In 1864 rudolf lipschitz (18311904) attempted to extend Dirichlet sanalysis. He noted that an expanded notion of integral was needed. http://www.math.tamu.edu/~don.allen/history/riemann/riemann.html

Next: About this document April 21, 1997 The Theory of Riemann Integration Through the work on calculus, particularly integration, and its application throughout the century was formidable, there was no actual ``theory'' for it. The applications of calculus to problems of physics, i.e. partial differential equations, and the fledgling ideas of function representation by trigonometric series required clarification of just what a function was. Correspondingly, this challenged the notion that an integral is just an antiderivative. Let's trace this development of the integral as a rough and ready way to solve problems of physics to a full-fledged theory. Leonhard Euler (1707-1783) and Jean d'Alembert (1717-1783) argue in 1730-1750's over the ``type'' of solutions that should be admitted as solutions to the wave equation D'Alembert showed that a solution must have the form For t =0 we have the initial shape f x Note: Here a function is just that. The new notation and designation are fixed. But just what kinds of functions f can be admitted?

67. Une Bonne Promotion Translate this page Carmichael, Robert Daniel, 1879, 1967, lipschitz, rudolf Otto Sigismund,1832, 1903. Cassini, Jean-Dominique, 1625, 1712, Machin, John, 1680,1751. http://vivent.les.math.free.fr/matheux.html

Une bonne promotion Abel Niels Henri Hamilton William Rowan Agnesi Maria-Gaetan Heine Heinrich Eduard Hermite Charles Hilbert David Hoene-Wronski Baire Otto Banach Stefan Bernoulli Daniel William George Bernoulli Jacques Huygens Christiaan Bernoulli Jean Jacobi Carl Gustav Jacob Bernstein Serguei Natanovic Jordan Camille Marie Ennemond Bertrand Kepler Johannes Bessel Friedrich Wilhem Klein Etienne Leopold Binet Jacques Lagrange Joseph Louis (Comte de) Bolzano Bernhard Laguerre Edmond Nicolas Boole Georges Landau Edmund Georg Hermann Bourbaki Laplace Pierre Simon (Marquis de) Buffon Georges Louis Leclerc (compte de) Lebesgue Cantor Georg Ferdinand Ludwig Philipp Legendre Adrien Marie Cardan Hieromino Leibniz Gottfried Wilhelm Carmichael Robert Daniel Lipschitz Rudolf Otto Sigismund Cassini Jean-Dominique Machin John Catalan Mac Laurin Colin Cauchy Augustin-Louis Minkowski Hermann Cayley Arthur Augustus Ferdinand Cesaro Ernesto Moivre Abraham (de) Chasles Michel Monge Gaspard Clairaut Alexis Claude Napier ou Neper John (baron de Merchiston) Coriolis Gustave Newton Isaac Cornu Marie-Alfred Ostrogradski Michel Vassilievitch Cramer Gabriel Marc Antoine d'Alembert Jean le Rond Pascal Blaise Darboux Jean-Gaston Peano Giuseppe Descartes Julius Dini Ulysse Poisson -II -II Pythagore -VI -VI Diophante Raabe Josef Ludwig Dirichlet Peter Gustav Lejeune Raphson Duhamel Jean Marie Constant Ricatti Jacopo Francesco (comte) Eisenstein Ferdinand Gotthold Riemann Georg Friedrich Bernhard Rolle Michel Euclide Euler Leonhard Sarrus Pierre Farey John Schmidt Erhard Leopold Schwarz Hermann Amandus Fermat Pierre Simon de Simpson Thomas Fibonacci Leonard de Pise

68. THE JAMES P. J. MURPHY PAPERS: FOLDER LISTING CONTINUED DESCRIPTION 2 ALSs from Jacques lipschitz to JPJM regarding a photograph of lipschitz. fromRobert M. MacGregor to JPJMregarding Ezra Pound and rudolf Laban. http://www.library.georgetown.edu/dept/speccoll/fl/f118}5.htm

SPECIAL COLLECTIONS HOME PAGE GO TO COLLECTION DETAIL GO TO INDEX PREVIOUS SEGMENT ... GO TO BOTTOM OF SEGMENT THE JAMES P. J. MURPHY PAPERS FOLDER LISTING Box: 2 Fold: 99 Leonard, William Ellery DESCRIPTION: 1 ALS from William Ellery Leonard to JPJM regarding a photograph of Leonard. Box: 2 Fold: 100 Levertov, Denise (via Mitchell Goodman) DESCRIPTION: 1 ALS and 1 TLS from Mitchell Goodman for Denise Levertov to JPJM in response to a request by JPJM for an autograph from Levertov. Box: 2 Fold: 101 Lichtenauer, J. Mortimer DESCRIPTION: 1 ALS from J. Mortimer Lichtenauer to JPJM regarding a photograph of Lichtenauer. Box: 2 Fold: 102 Lintott, Barnard DESCRIPTION: 1 ALS from Barnard Lintott to JPJM regarding a photograph of Lintott. Box: 2 Fold: 103 Lipschitz, Jacques DATE SPAN: 01/05/1945 - 02/27/1954 DESCRIPTION: 2 ALSs from Jacques Lipschitz to JPJM regarding a photograph of Lipschitz. Box: 2 Fold: 104 Locke, Charles DESCRIPTION: 1 ALS from Charles Locke to JPJM regarding a photograph of Locke. Box: 2 Fold: 105 Locke, W. R.

69. My Mathematical Genealogy Translate this page der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf einekanonische Form Advisor 1 Julius Plücker Advisor 2 rudolf lipschitz, http://wotan.algebra.math.uni-siegen.de/~skoruppa/anchestors.html

My mathematical genealogy Joseph Louis Lagrange Advisor: Unknown Simeon Denis Poisson Advisor: Joseph Lagrange Jean-Baptiste Joseph Fourier Advisor: Joseph Lagrange Gustav Peter Lejeune Dirichlet Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1827 Advisor 1: Simeon Poisson Advisor 2: Jean-Baptiste Fourier Julius Plücker Ph.D. Universität Marburg 1823 Advisor: Unknown Rudolf Otto Sigismund Lipschitz Ph.D. Universität Berlin 1853 Advisor: Gustav Dirichlet C. Felix (Christian) Klein Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1868 Dissertation: Über die Transformation der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form Advisor 1: Julius Plücker Advisor 2: Rudolf Lipschitz C. L. Ferdinand (Carl Louis) Lindemann Ph.D. Friedrich-Alexander-Universität Erlangen-Nürnberg 1873 Dissertation: Über unendlich kleine Bewegungen und über Kraftsysteme bei allgemeiner projektivischer Maßbestimmung Advisor: C. Felix Klein David Hilbert Ph.D. Universität Königsberg 1885

70. Geneology D. 1868, Bonn) was a student of Julius Plucker and rudolf lipschitz. JuliusPlucker (Ph. D. 1823, Marburg) advisor unknown; rudolf lipschitz (Ph. http://www.math.vanderbilt.edu/~schumake/geneology.html

Geneology Larry Schumaker (Ph. D. 1966, Stanford) was a student of Sam Karlin Sam Karlin (Ph. D. 1947, Princeton) was a student of Salomon Bochner Salomon Bochner (Ph. D. 1921, Berlin) was a student of Erhard Schmidt Erhard Schmidt (Ph. D. 1905, Gottingen) was a student of David Hilbert David Hilbert (Ph. D. 1885, Konigsberg) was a student of C. L. Ferdinand Lindemann C. L. Ferdinand Lindemann (Ph. D. 1873, Erlangen) was a student of Felix Klein Felix Klein (Ph. D. 1868, Bonn) was a student of Julius Plucker and Rudolf Lipschitz. Julius Plucker (Ph. D. 1823, Marburg) - advisor unknown Rudolf Lipschitz (Ph. D. 1853, Berlin) was a student of Gustav Dirichlet Gustav Dirichlet (Ph. D. 1827, Bonn) was a student of Simeon Poisson and Jean-Baptiste Fourier Both Simeon Poisson and Jean-Baptiste Fourier were students of Joseph Lagrange

71. Cornell Univeristy Mathematics Library lipschitz, rudolf, Lehrbuch der Analysis. Bd.2 ,1880, 754. Lommel http://www.library.cornell.edu/math/reformatjkl.php

Catalog Library Gateway Articles Databases ... EMPSL Reformatted Books: J K L Available for purchase from the Mathematics Library J [On to K] [Back to Top] Author Title # of images Jaenisch, Karl Friedreich von "Traite des Applications de l'Analyse Mathematique au Jeu des Echecs",1862 Jessop, Charles Minshall "Quartic Surfaces with Singular Points",1916 Jessop, Charles Minshall "Treatise on the line complex",1903 Joachimsthal, Ferdinand "Anwendung der Differential und Integralrechnung auf die Allgemeine Theorie...",1890 Joly, Charles Jasper "Manual for Quaternions",1905 Jones, A. Clement "Introduction to algebraical geometry",1912 Jones, George William "Treatise on Projective Geometry",1888 Jouffret, E. "Melanges de Geometrie a Quatre Dimensions",1906 Jouffret, E. "Traite Elementaire de Geometrie a Quatre Dimensions et Introduction a la Geometrie...",1903 Junker, Friedrich H "Symmetrischen Functionen der Gemeinschaftlichen Variablenpaare Ternarer...",1897

72. Iztok Hozo Genealogy Klein’s Advisor 2 rudolf Otto Sigismund lipschitz. Ph.D. Universität Berlin 1853.rudolf lipschitz worked on quadratic differential forms and mechanics. http://www.iun.edu/~mathiho/genealogy/IztokHozoGenealogy.htm

Mathematics Genealogy Iztok Hozo Ph.D. University of Michigan Hozo’s Advisor: Philip J. Hanlon Ph.D. California Institute of Technology Hanlon’s Advisor: Olga Taussky-Todd Ph.D. University of Vienna Olga Taussky-Todd was a distinguished and prolific mathematician who wrote about 300 papers. Throughout her life she received many honors and distinctions, most notably the Cross of Honor, the highest recognition of contributions given by her native Austria . Olga's best-known and most influential work was in the field of matrix theory, though she also made important contributions to number theory. Taussky-Todd’s Advisor: Philipp Furtwängler Ph.D. Universität Göttingen Furtwängler ’s Advisor: C. Felix (Christian) Klein Ph.D. Universität Bonn Felix Klein is best known for his work in non- euclidean geometry, for his work on the connections between geometry and group theory, and for results in function theory. However Klein considered his work in function theory to be the summit of his work in mathematics. He owed some of his greatest successes to his development of Riemann's ideas and to the intimate alliance he forged between the later and the conception of invariant theory, of number theory and algebra, of group theory, and of multidimensional geometry and the theory of differential equations, especially in his own fields, elliptic modular functions and automorphic functions. Klein’s Advisor 1: Julius Plücker Ph.D.

73. Taylor Mathematical Ancestors Translate this page C. Felix Klein, 1868, Rheinische Friedrich-Wilhelms-Universität Bonn. Julius Plückerand rudolf lipschitz, Über die Transformation der allgemeinen Gleichung des http://math.usask.ca/~taylor/ancestors.html

Mathematical Ancestors Most of this information is from The Mathematics Genealogy Project . Please vist them and provide any information you might have on any mathematician that they are missing. Mathematician PhD* Granting Institution Supervisor or Mentor Thesis Keith Taylor Alberta Anthony Lau The Structure of the Regular Representation of a Locally Compact Group Anthony Lau British Columbia Edmond Granirer Topological Semigroups Edmond Granirer Hebrew University Harry Kesten On Amenable Semigroups with a Finite Dimensional Set of Invariant Means Harry Kesten Cornell Mark Kac Symmetric random walks on groups Mark Kac Lwów Hugo Steinhaus Hugo Steinhaus Göttingen David Hilbert Neue Anwendungen des Dirichlet'schen Prinzips David Hilbert Königsberg C. L. Ferdinand Lindemann Über invariante Eigenschaften specieller binärer Formen, insbesondere der Kugelfunctionen C. L. Ferdinand Lindemann Friedrich-Alexander-Universität Erlangen-Nürnberg C. Felix Klein Über unendlich kleine Bewegungen und über Kraftsysteme bei allgemeiner projektivischer Maßbestimmung C. Felix Klein

74. Rudolf Lipschitz Xikui Wang Ancestors in mathematics and statistics Translate this page C. Felix Klein, 1868. Rheinische Friedrich-Wilhelms-Universität Bonn. Julius Plückerand rudolf lipschitz, Über die Transformation der allgemeinen Gleichung des http://www.worldhistory.com/wiki/R/Rudolf-Lipschitz.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Rudolf Lipschitz Rudolph Otto Sigismund Lipschitz May 14 October 7 ) was a German mathematician and Professor at the University of Bonn from . He supervised the early work of Felix Klein Lipschitz gave his name to the Lipschitz continuity condition; in fact he worked in a broad range of areas. Those included number theory algebras with involution mathematical analysis differential geometry and classical mechanics External links: Biography of Rudolf Lipschitz Sponsored Links Advertisements Harry Potter and the Prisoner of Azkaban unabridged on CD DVD New Releases ... at DVDPlanet Find lost family and friends This article is licensed under the GNU Free Documentation License You may copy and modify it as long as the entire work (including additions) remains under this license. You must provide a link to http://www.gnu.org/copyleft/fdl.html To view or edit this article at Wikipedia, follow this link World History How to cite this page Encyclopedia Index ... Contact Us

75. Tran Thong, PhD, Princeton University 1975, Advisor: Bede Liu Translate this page Advisors Julius Plücker, rudolf lipschitz. 8. rudolf Otto Sigismund lipschitz,Dr. phil. Universität Berlin 1853. Advisors Gustav Dirichlet, Martin Ohm. http://www.bme.ogi.edu/~trant/Advisorgenealogy.htm

1. Tran Thong, Ph.D., Princeton University Advisor: Bede Liu Bede Liu, Sc.D ., Polytechnic Institute of Brooklyn Advisor: John G. Truxal 3. John G. Truxal Sc.D . Massachusetts Institute of Technology 1950, Advisor: Ernst Guillemin 4. Ernst Adolph Guillemin , Ph.D. Ludwig-Maximilians-Universität München Advisor: Arnold Sommerfeld Arnold Johannes Wilhelm Sommerfeld , Ph.D. Universität Königsberg Advisor: C. L. Ferdinand Lindemann 6. C. L. Ferdinand Lindemann , Ph.D. Friedrich-Alexander-Universität Erlangen-Nürnberg Advisor: C. Felix Klein 7. C. Felix Klein , Ph.D. Rheinische Friedrich- Wilhelms-Universität Bonn Advisors: Julius Plücker , Rudolf Lipschitz 8. Julius Plücker , Ph.D. Philipps-Universität Marburg 1823, Advisor: Christian Gerling 9. Christian Ludwig Gerling Dr.phil Georg-August-Universität Göttingen Advisor: Carl Gauss 10. Carl Friedrich

76. Preprints Des Jahres 1989 Translate this page Reinhold Reduction of Order for Pseudodifferential Operators on lipschitz Domains. Nr.1256, Wille, rudolf On the Skeletons of Free Distributive Lattices. Nr. http://wwwbib.mathematik.tu-darmstadt.de/Math-Net/Preprints/Listen/pp89.html

Preprints Suchmaske Suche Preprints des Jahres 1989 Januar 1989 Nr. 1200 Liess, Otto: Long-time Existence for the Nonlinear Equations of Crystal Optics Nr. 1201 Laugwitz, Detlef: Zur Rechtfertigung mathematischer Unterrichtsinhalte: Das Beispiel Mittelwertsatz der Differentialrechnung Nr. 1202 Petersdorff von, Tobias - Stephan, Ernst P.: Improved Boundary Element Methods for Mixed BVP's in R Nr. 1203 Schmidt, Klaus D.: Positive Homogeneity and Multiplicativity of Premium Principles on Positive Risks Nr. 1204 Karger, Adolf: Curature Properties of Robot Manipulators Februar 1989 Nr. 1205 Afflerbach, Lothar: Criteria for the Assesment of Random Number Generators Nr. 1206 Laugwitz, Detlef: Grundlagen der Analysis bei C. F. Gauss: I. Trigonometrische Reihen Nr. 1207 Nolte, Wolfgang: Hjelmslevgruppen mit Nachbarhomomorphismus Nr. 1208 On the Period Length of Congruential Pseudorandom Number Sequences Generated by Inversions Nr. 1209 Nr. 1210 Wild, Marcel: Implicational bases for finite closure systems Nr. 1211 Wild, Marcel: Optimal implicational bases for finite modular lattices Nr. 1212

77. Famous And Infamous Lifshitzs Lifshitz equation. rudolf Otto Sigismund lipschitz born nr Konigsberg,Germany 14 May 1832 died Bonn, Germany 1903 lipschitz carried http://benchpost.com/famtree/lifshitz/famouslifshitz.htm

Famous and Infamous Lifshitzes in History Lifshitz and the Vilna Goans There are a number of Lipshitz (etc) families appearing in book "Eliyahu's Branches, the Descendants of the Vilna Gaon and His Family" (published by Avotaynu). Treina Vilner, daughter of Shlomo-Zalmen Vilner( the son of Eliyahu Goan of Vilna) and Rikhel Kissin was born c 1776 in Vilna, Lithuania. She married Tsvi Hersh Lipshitz. The Lipshitz, Grad, Segal, Olkenitsky, Helman, Gurwicz and Kushilevky families are descended from this branch. Shlomo-Zalmen's brother Avraham, b 1765 married Sarah Mindes Lipshitz, daughter of Noakh "Mindes" Lipshitz and Minda Pesseles., Chaim Freedman Petah Tikvah, Israel email: chaimjan@zahav.net.il Lifshitz and fashion Ralph Lauren changed his name from Ralph Lipschitz Lifshitz equation Rudolf Otto Sigismund Lipschitz born nr Konigsberg, Germany 14 May 1832 died Bonn, Germany 1903 Lipschitz carried out many important and fruitful investigations in number theory, in the theory of Bessel functions and of Fourier series, in ordinary and partial differential equations, and in analytical mechanics and potential theory. Of special note are his extensive investigations concerning n-dimensional differential forms and related questions of the calculus of variations, geometry, and mechanics. This work in which he drew upon the developments that Riemann had presented in his famous lecture on the basic hypotheses underlying geometry contributed to the creation of a new branch of mathematics.

78. Kevin McCurley's Mathematical Lineage Klein received his PhD in 1868 in Bonn. He is known to have two advisorsJulius Plücker and rudolf lipschitz (1853, Berlin, Germany); http://www.swcp.com/~mccurley/lineage.html

Mathematics research has a long and rich history. For some reason mathematicians like to trace their mathematical lineage (represented by teachers). Mine is given below, and you can find a visual representation in SVG My Ph.D. advisor was in 1981 under Paul T. Bateman in Illinois. Illinois 1981) Bateman's PhD was in 1947 under Hans Rademacher at the University of Pennsylvania. Rademacher's PhD was in 1916 under Hermann Minkowski David Hilbert Minkowski's PhD was in 1885 under C. L. Ferdinand Lindemann Lindemann's PhD was in 1873 under C. Felix Klein Klein received his PhD in 1868 in Bonn. He is known to have two advisors: and Rudolf Lipschitz (1853, Berlin, Germany) Christian Ludwig Gerling in Marburg, Germany. Gerling's PhD was in 1812 under Johann Friedrich Pfaff in Helmstedt, Germany. Pfaff's PhD was in 1786 under Abraham Gotthelf Kaestner Kaestner's PhD was in 1739 under Christian August Hausen in Leipzig, Germany) Hausen's PhD was in 1713 under Christian Andreas Siber in Wittenberg, Germany) Siber's PhD was in 1682 in Wittenberg, Germany. His advisor is apparently unknown. Lipschitz's PhD was in 1853 in Berlin. He had two advisors:

79. List Of Mathematical Topics (J-L) - Wikipedia, The Free Encyclopedia theorem Liouville s theorem (complex analysis) Liouville s theorem (Hamiltonian) lipschitz continuity lipschitz, rudolf LISP Little s law http://en.wikipedia.org/wiki/List_of_mathematical_topics_(J-L)

List of mathematical topics (J-L) From Wikipedia, the free encyclopedia. List of mathematical topics A-C D-F G-I J-L M-O P-R S-U V-Z ... edit J J-invariant Jacobi, Carl Gustav Jakob Jacobi identity Jacobi's elliptic functions ... edit K K-Hyperperfect number K-fold perfect number Kac Kac, Mark ... edit L L-function L-system La Géometrie Lafforgue ... LZW Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages This page was last modified 17:22, 30 May 2004. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

80. Lipschitz Continua - Wikipedia En Español Translate this page El nombre viene del matemático alemán rudolf lipschitz. Toda funciónlipschitz continua es uniformemente continua y por tanto continua. http://es.wikipedia.org/wiki/Lipschitz_continua

Lipschitz continua De Wikipedia, la enciclopedia libre. En matemática , una función f M N entre espacios métricos M y N es llamada Lipschitz continua (o se dice que satisface una condición de Lipschitz ) si existe una constante K > tal que d( f x f y K d( x y ) para todo x y y en M . En tal caso, K es llamada la constante Lipschitz de la función. El nombre viene del matemático alemán Rudolf Lipschitz Toda función Lipschitz continua es uniformemente continua y por tanto continua Las funciones Lipschitz continuas con constante Lipschitz K = 1 son llamadas funciones cortas y con K contracciones , estas últimas son el tema del teorema del punto fijo de Banach . La continuidad de Lipschitz es una condición importante en la existencia y unicidad de soluciones para las ecuaciones diferenciales ordinarias Si U es un subconjunto del espacio métrico M y f U R es una función Lipschitz continua a valores reales, entonces siempre existe una función Lipschitz continua M R que extiende f y tiene la misma constante Lipschitz que f .(ver tambien teorema de Kirszbraun Una función Lipschitz continua f I R , donde I es un intervalo en R , es casi por todo diferenciable (siempre, excepto en un conjunto de

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