61. D-Dh packing of, 988 Degrees of unsolvability (arithmetic hierarchy), 1126, 1139 dehn,max W. (Germany, 18781952) and word problem for groups, 1141 Deism, 1196 http://www.wolframscience.com/nksonline/index/d-dh.html

INDEX A B C D E F G H ... Z D-Dh Di-Dz D-Dh D0L systems see also Substitution systems, neighbor-independent D1L systems da Vinci, Leonardo (Italy, 1452-1519) and fluid turbulence, and geometrical rules, and math in science, and phyllotaxis, and rule-based pictures, and theory of lunes, Daedalus as designer of maze, Daisies phyllotaxis in, regular form of, Damping and attractors, of fluid perturbations, Dante Alighieri (Italy, 1265-1321) and rhyming schemes, Dappled patterns from 2D cellular automata, Darwin, Charles R. (England, 1809-1882) and Origin of Species, and origins of complexity, Darwinian evolution summary of relations to, see also Natural selection Data analysis of, artifacts in, information content of, recognizing meaning in, Data compression history of, lossy, practicalities of, two-dimensional, see also Compression Data Encryption Standard (DES) and history of CAs, as randomness generator, Data processing and history of computing

62. Collected Works MAIN TITLE Papers on group theory and topology / max dehn ; translatedand introduced by John Stillwell. PUBLISHER New York SpringerVerlag, c1987. http://lib.nmsu.edu/subject/math/mbib.html

C OLLECTED W ORKS F M ATHEMATICIANS B IBLIOGRAPHY CALL NO: QA3 A14 1881 AUTHOR: Abel, Niels Henrik, 1802-1829. MAIN TITLE: OEuvres completes de Niels Henrik Abel. EDITION: Nouv. ed., publiee aux frais de l'etat norve-gien par L. Sylow PUBLISHER: Christiania [Sweden] Grondahl, 1881. LOCATION: Branson Material: 2 v. in 1. 28 cm. Contents: t. 1. Memoires publies par Abel.t. 2. Memoires posthumes d'Abel Subject: Mathematics. cm Added Entry: Sylow, Peter Ludvig Mejdel, 1832- Added Entry: Lie, Sophus, 1842-1899. CALL NO: QB3 A2 AUTHOR: Adams, John Couch, 1819-1892. MAIN TITLE: The scientific papers of John Adams Couch, edited by William Grylls Adams, with a memoir by J. W. L. Glaisher. PUBLISHER: Cambridge, University press, 1896-1900. LOCATION: Branson V.1 and V.2 Material: 2 v. front. (port.) fold. map, facsims., diagr. 30 cm. Contents: v. 1. Biographical notice, by J. W. L. Glaisher. [Original papers published by the author during his lifetime, 1844-1890, ed. by William Grylls Adams]v. 2. pt. 1. Extracts from unpublished manuscripts, ed. by Ralph Allen Simpson. pt. 2. Terrestial magnetism, ed. by William Grylls Adams. Subject: Geomagnetism.

63. UW Math PhD Alumni (Advisors: D) Crandall Crowe CurtisdehnDickeyDowlingDresden EberleinFadellFerrisForelliForstnericFullerton max W. dehn. PhD students. Engel, Joseph Henry,1949 http://www.math.wisc.edu/directories/alumni/D.htm

skip to: page content links on this page site navigation footer (site information) University of Wisconsin Mathematics PhDs PhD Home UW Math UW Advisors ... T-Z Newsletters UW Math PhD Alumni Cannon Chover Coleman Conley ... Fullerton Related Links Contact Us PhD History PhD Histogram News ... Math Genealogy Max W. Dehn PhD students Engel, Joseph Henry,1949 R. Wayne Dickey PhD Students Bowman, Bonita,1979 Newman, William G.,1993 Johnson, Kurt N.,1994 Hermann, Paul D.,1997 Linnaeus Dowling PhD Students Running, Theodore,1899 Pengra, Charlotte Elvira,1901 Allen, Florence Eliza,1907 Parkinson, George A.,1929 Pollard, Harry Strange,1933 Arnold Dresden PhD Students Roth, William Edward,1928 About Us Site Map Contact Us

64. Abstract Up to a natural equivalence on functions, the dehn function is a The resultspresented are joint work with Noel Brady, Martin Bridson and max Forester. http://www.math.columbia.edu/~clein/abstracts/shankar.html

Title: Dehn functions for finitely presented groups Krishnan Shankar (U. Oklahoma) Friday, April 1 at 1:15pm in Mathematics 507. Abstract: The Dehn function of a finite presentation of a group gives the least upper bound for the number of relators that must be applied to a word w in G that is trivial i.e., w = G , in order to reduce w to the trivial word. Up to a natural equivalence on functions, the Dehn function is a quasi-isometry invariant of the group G . The study of Dehn functions gained importance after Gromov's seminal theorem: a finitely presented group G has sub-quadratic Dehn function if and only if G has linear Dehn function if and only if the Cayley graph of G snowflake groups which give many new examples of Dehn functions. The results presented are joint work with Noel Brady, Martin Bridson and Max Forester.

65. Max Dehn PDF annular dehn 39-98 http://www.algebra.com/algebra/about/history/Max-Dehn.wikipedia

Max Dehn Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$150,000 has been donated since the drive began on 19 August. Thank you for your generosity! Max Dehn Max Dehn November 13 June 27 ) was a German mathematician . He studied the foundations of geometry with Hilbert at G¶ttingen in 1899, and obtained a proof of the Jordan curve theorem for polygons . In 1900 he wrote his dissertation on the role of the Legendre angle sum theorem in axiomatic geometry. Also in 1900 he resolved Hilbert's third problem Dehn's interests later turned to topology and combinatorial group theory . In 1907 he wrote with Poul Heegaard the first book on the foundations of combinatorial topology , then known as analysis situs . Also in 1907, he described the construction of a new homology sphere . In 1908 he believed that he had found a proof of the Poincar© conjecture , but Tietze found an error. In 1910 Dehn published a paper on three dimensional topology in which he introduced Dehn surgery and used it to construct homology spheres. He also stated

66. Knitting Circle Paul Dehn Paul dehn asked James Bernard to collaborate with him on the original screen essays and light verse, published in London by max Reinhardt, 135 pages. http://myweb.lsbu.ac.uk/~stafflag/pauldehn.html

The Knitting Circle: Literature Biography work Paul Dehn Born 5th. November, 1912, in Manchester, Britain; died 30th. September, 1976. British film critic, writer, poet, librettist, screenwriter. Full name: Paul Edward Dehn. His parents were Helen and Frederick Dehn. He was James Agate's godson. He went to Shrewsbury School and Brasenose College, Oxford University. From 1936 to 1939 he was a film critic and columnist for the Sunday Referee During the Second World War he served as a major in the Special Forces from 1939 to 1945. From 1945 to 1953 he was a film critic for the Sunday Chronicle In 1949/50 he met the composer James Bernard with whom he started a professional relationship but who also became his life partner. Paul Dehn asked James Bernard to collaborate with him on the original screen story for the Boulting Brothers film Seven Days To Noon , (1950). For this Paul Dehn and Jame Bernard shared the 1952 Academy Award for the Best Writing, Motion Picture Story. He was a film critic for the News Chronicle from 1954 to 1960, and for the

67. Bibliography dehn, max, 18781952, Papers on group theory and topology / translated andintroduced by John Stillwell, New York, Springer-Verlag, 1987 http://www.library.cornell.edu/math/bibliography/display.cgi?start=D&

68. Hamish Short Early in the 20th century, max dehn formulated the three classical problems ingroup theory the word problem, the conjugacy problem and the isomorphism http://www.crm.es/Conferences/0405/WordProblem/hamish_short.htm

Hamish Short (Université d’Aix-Marseille I) Title: Introduction to the geometry of the word problem Abstract: Starting in the 1980s from the seminal work of Gromov and Thurston, among others, geometric group theory has been a tool to study algorithmic problems related to infinite groups. Early in the 20th century, Max Dehn formulated the three classical problems in group theory: the word problem, the conjugacy problem and the isomorphism problem. This course is dedicated to the exposition of the geometric methods that have been developed to understand the first and most important of the three problems. This session will be dedicated to introduce some of the basic tools of the theory and their related results. In particular, in this session we will introduce van Kampen diagrams in Cayley graphs of finitely generated, infinite groups; the van Kampen lemma, the isoperimetric functions or Dehn functions, the theory of small cancellation groups and an introduction to hyperbolic groups.

69. PSIgate - Physical Sciences Information Gateway Search/Browse Results max Wilhelm dehn Born 13 Nov 1878 in Hamburg, Germany Died 27 June 1952 inBlack Mountain, North Carolina, USA Click the picture above to see three larger http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=1025&term1=

70. Julius Kraft Papers dehn, max. 1 L., 1 Ptc. 1940,1942. 35. Department of State. 3 L., 1 memo. 1950.3 L. by Kraft. 36. Döhmann, Klaus. 4 L., 4 Ptc. 19591960. http://library.albany.edu/speccoll/findaids/ger054.htm

[Back to Department Home Page] M.E. Grenander Department of Special Collections and Archives Inventory of the JULIUS KRAFT PAPERS, 1921-1960 (GER-054) For reference queries contact Grenander Department Reference staff or (518)-437-3933 University Libraries / University at Albany / State University of New York 1400 Washington Avenue / Albany, New York 12222 / (518) 437-3935 VOLUME: 4 cubic feet ACQUISITION: All items in this manuscript group were donated to the University Libraries, M.E. Grenander Department of Special Collections and Archives , by ACCESS: Access to this record group is unrestricted. The researcher assumes full responsibility for conforming with the Head of Special Collections and Archives Julius Kraft Papers Scope and content note Correspondence, 1936–76; memoranda, reports, photographs, and other materials pertaining to his work with the United Nations, 1953–73; speeches, 1944–65; and typescripts of articles and reports, 1944–76. Kotschnig taught at Smith College and Mt. Holyoke College from 1937 to 1942. As an expert on international organization, he became an official of the U.S. State Department in 1944 and represented the United States in the United Nations in the 1950s. Julius Kraft Papers Box and Folder List Box 1 Folder 3. Notebook (small green steno). A. 1959. 48p.

71. MASS - Colloquia 2003 This theorem which provides an answer to one of the famous Hilbert s problemswas proved by max dehn (actually, a year before Hilbert stated his Problems). http://www.math.psu.edu/mass/colloquia/2003/

72. Science & Technology At Scientific American.com: A Century Of Mathematics -- How In 1902, max dehn demonstrated that two tetrahedra of equal base and altitude donot necessarily have the same volume. But others were too broad to perhaps http://www.sciam.com/article.cfm?articleID=000C0D7D-3B95-1C75-9B81809EC588EF21

73. American Mathematical Monthly, The: Geometry: Euclid And Beyond Karl Menger, Kurt Reidemeister, max dehn, Alfred Tarski, Reinhold Baer, WilhelmKlingenberg, and Bartel Leenert van der Waerden, who are better known http://www.findarticles.com/p/articles/mi_qa3742/is_200301/ai_n9200362

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles American Mathematical Monthly, The Jan 2003 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports Geometry: Euclid and Beyond American Mathematical Monthly, The Jan 2003 by Pambuccian, Victor Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. REVIEWS Edited by Gerald B. Folland Mathematics Department, University of Washington, Seattle, WA 98195-4350 Geometry: Euclid and Beyond. By Robin Hartshorne. Springer, New York, 2000, xii + 526 pp., ISBN 0-387-48650-2, $49.95. Reviewed by Victor Pambuccian The twentieth century has been not only the century of "Euclid must go!" but also the one in which the axiomatics of the many geometries that the nineteenth century had brought to the fore was carried out with remarkable success. These axiomatic accomplishments have been largely forgotten. Few would associate the axiomatic foundations of geometry with the names of Emil Artin, Karl Menger, Kurt Reidemeister, Max Dehn, Alfred Tarski, Reinhold Baer, Wilhelm Klingenberg, and Bartel Leenert van der Waerden, who are better known for their contributions to other fields that later became mainstream.

74. Person Max Dehn Arnold Sommerfeld an David Hilbert, 24. Juni 1904 http://www.lrz-muenchen.de/~Sommerfeld/PersDat/00859.html

Person: Max Dehn Arnold Sommerfeld u.a. an Johanna Sommerfeld, 21. September 1902 Arnold Sommerfeld an David Hilbert, 24. Juni 1904 ... Institutionen

75. Genealogy Data Page 7 (Family Pages) Translate this page Children. dehn, Arnold Gender Male dehn, max Gender Male dehn, Hanna. Family.Spouse Goldschmidt, Marianne Gender Female Children. dehn, Martin http://shum.huji.ac.il/~dutchjew/genealog/ndbeli/f_6.htm

checkstat('ncreveld','010') Genealogy Data Page 7 (Family Pages) For privacy reasons, Date of Birth and Date of Marriage for persons believed to still be living are not shown. Back to Main Page Bloom, Barry Gender: Male Parents: Father: Bloom, Philip Mother: Leek, Lillie-Leah Family: Spouse: Hamilton, Judy Gender: Female Children: Bloom, Adrienne Family: Spouse: Gender: Female Children: Bloom, Guy Family: Spouse: Pendrous, Angela Gender: Female Back to Main Page Herbert, Richard Gender: Male Parents: Father: Herbert, Ben Mother: Leek, Bessie-Elizabeth Family: Spouse: Gender: Female Children: Herbert, Catherine Gender: Female Herbert, Jonathan Gender: Male Family: Spouse: Maggie, Margaret Anne Gender: Female Back to Main Page Leek, John Gender: Male Parents: Father: Leek, Reginald Mother: Salter, Felice Family: Spouse: Meyers, Lynn Gender: Female Family: Spouse: Gender: Female Children: Leek, Julie Anne Gender: Female Back to Main Page Menko, Salli Abraham b. 6 AUG 1873 Hengelo d. 27 JUN 1936 Delden Gender: Male Parents: Father: Menko, Abraham Nathan Mother: Leek, Mietje

76. DicoMaths : IIIè Problème De Hilbert Translate this page La réponse est négative et fut apportée par max dehn, un élève de Hilbert, dès 1902.A chaque polyèdre, dehn associa une quantité, maintenant connue sous le http://www.bibmath.net/dico/index.php3?action=affiche&quoi=./h/hilbert3eme.html

77. [The Summaries Here Of Hilbert S Problems Are Necessarily Brief In 1900, max dehn proved that all such tetrahedra do NOT have the same volume.Here s a problem that sounds accessible to us amateurs. http://www.math.niu.edu/~rusin/known-math/95/hilb.list

[The summaries here of Hilbert's problems are necessarily brief and sometimes a bit wide of the mark; see some corrections below djr] ============================================================================== From: Aleph Software Consulting > for all x boundary conditions can be set ============================================================================== From: kevin2003@delphi.com (Kevin Brown) Newsgroups: sci.math Subject: Re: Hilbert's problems Date: 7 Jan 1995 20:49:19 GMT MV = M.J.Vasko MV> Here is a brief list of 22 of David Hilbert's 23 problems,... MV> The basic list was extracted from "The Harper Collins Dictionary MV> of Mathematics", ... MV> [1-20 deleted] MV> 21. Oddly enough, this problem is missing. If anyone can supply its MV> definition, please do. According to the "Encyclopedic Dictionary of Mathematics" (ed by Kiyosi Ito) the Hilbert's 21st problem was "To show that there always exists a linear differential equation of the Fuchsian class with given singular points and monodromic group. Solved by H. Rohrl and others (1957)." ============================================================================== Date: Mon, 07 Jun 1999 18:01:46 -0500 From: Tamara MIller

78. Überspannungsschutz Translate this page Astro Strobel Gleichstromsperre KTS 15 max.30V, 5-2150MHz 320 151 Netzspannung30 V dehn+Söhne dehn+Söhne Überspannungsschutz 919 570 BCT MOD MD HFS http://www.eas-y.de/sortiment/rs/telekommunikation-fernmeldeanschlussmaterial-Ue

Mehr Beratung Gleich reinklicken und ganz easy bestellen Mehr Service von A bis Z in 48 Stunden. Beratung und Lieferung von Ihrem Elektrofachbetrieb Bitte geben Sie hier Ihre Postleitzahl ein: Überspannungsschutz Quante Überspannungsableiter 39081-701 26 DE-6200-0036-9 Überspannungsableiter Fail-Safe: nein Ausführung: 8x20, 230 V (Form F) Quante Überspannungsableiter 39081-727 00 DE-6200-0670-5 Überspannungsableiter Fail-Safe: nein Ausführung: 6x8, 230 V (Form H) Quante Überspannungsableiter 39081-728 00 DE-6200-0037-7 Überspannungsableiter Fail-Safe: nein Ausführung: 6x8, 230 V (Form H, 3polig) Krone Schutzmagazin 6089 2 024-61 Fail-Safe: ja Geeignet für Anschlusssystem: LSA-Plus Baureihe 2/LSA-Profil Geeignet für Ableitereinsatz: 6x8, 230 V (Form H) Max. Anzahl Doppeladern: 10 Mit Ableiter: ja Quante Ableitermagazin F 38126-500 00 DE-6200-0663-0 Magazin für Überspannungsableiter Fail-Safe: nein Geeignet für Anschlusssystem: LSA-Plus Baureihe 2 Geeignet für Ableitereinsatz: 8x20, 230 V (Form F) Max. Anzahl Doppeladern: 10 Mit Ableiter: nein Quante Ableitermagazin G/H 38126-501 25 DE-6200-0664-8 Magazin für Überspannungsableiter Fail-Safe: nein Geeignet für Anschlusssystem: LSA-Plus Baureihe 2 Geeignet für Ableitereinsatz: 8x8/6x8, 230 V (Form G/Form H) Max. Anzahl Doppeladern: 10 Mit Ableiter: nein

79. Rohrschelle Für Blitzschutz Translate this page dehn+Söhne Regenrohrschelle 420 107 dehn+Söhne Regenrohrschelle 420 107 - Details Durchmesser verstellbar ja Material Edelstahl Für max. http://www.eas-y.de/sortiment/kls/erdung-blitz-und-Ueberspannungsschutz/rohrsche

Mehr Beratung Gleich reinklicken und ganz easy bestellen Mehr Service von A bis Z in 48 Stunden. Beratung und Lieferung von Ihrem Elektrofachbetrieb Bitte geben Sie hier Ihre Postleitzahl ein: Rohrschelle für Blitzschutz Dehn+Söhne Regenrohrschelle 420 107 Durchmesser verstellbar: nein Durchmesser des Anschlusslochs: 1x11 mm Oberfläche: ykeine Angabe Material: Kupfer Für max. Rohrdurchmesser: 100 mm Dehn+Söhne Regenrohrschelle 423 020 Typ RV Regenrohrschelle Typ RV Verstellbare Ausführung mit Befestigungsschraube und Mutter M8 NIRO, zusätzlicher Verdrehnungsschutz, mit Markierungen und Sollbiegestellen, sowie eingestanzten Schnitthilfen, kombinierbar mit KS-Verbinder Durchmesser verstellbar: ja Oberfläche: feuerverzinkt Material: Stahl Für max. Rohrdurchmesser: 150 mm OBO Bettermann Regenrohrschelle 301/DIN/100mm vz 5350107 Durchmesser verstellbar: nein Durchmesser des Anschlusslochs: 1x11 mm Oberfläche: bandverzinkt Material: Stahl Für max. Rohrdurchmesser: 100 mm OBO Bettermann Regenrohrschelle 301/V-VA verstellbar 5350905 Durchmesser verstellbar: ja Durchmesser des Anschlusslochs: 2x7 mm/1x9 mm/1x11 mm Oberfläche: ykeine Angabe Material: rostfreier Edelstahl Für max. Rohrdurchmesser: 130 mm Dehn+Söhne Leitungshalter 200 029 Typ PV Durchmesser verstellbar: ja Material: Edelstahl Für max. Rohrdurchmesser: 120 mm

80. Mathematicians From DSB Translate this page dehn, max, 1878-1952. Delambre, Jean-Baptiste Joseph, 1749-1822. Descartes, Renédu Perron, 1596-1650. Dini, Ulisse, 1845-1918 http://www.henrikkragh.dk/hom/dsb.htm

Last modification: document.write(document.lastModified) emailaddr('webmaster','henrikkragh.dk','Webmaster','hkssmall'); Validate html Mathematicians from the Dictionary of Scientific Biography (DSB) For biographic details of Scandinavian mathematicians (and others), see my link page to DBL (Danish) or to NBL (Norwegian) Abel, Niels Henrik Ampère, André-Marie Argand, Jean Robert Arrhenius, Svante August Artin, Emil Beltrami, Eugenio Berkeley, George Bernoulli, Jakob I Bernoulli, Johann I Bertrand, Joseph Louis François Bessel, Friedrich Wilhelm Bianchi, Luigi Bjerknes, Carl Anton Bjerknes, Vilhelm Frimann Koren Bolyai, Farkas Bolyai, János Bolzano, Bernard Bombelli, Rafael Borchardt, Carl Wilhelm Borel, Émile Félix-Édouard-Justin Bouquet, Jean-Claude Briot, Charles Auguste Bérard, Jacques Étienne Bérard, Joseph Frédéric Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chasles, Michel Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader

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