Richard Von Mises' Work for ZAMM Until His Emigration in 1933 And
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Der Erste Gauleiter Der NSDAP in Pommern Karl Theodor Vahlen
KYRA T. INACHIN „MÄRTYRER MIT EINEM KLEINEN HÄUFLEIN GETREUER"1 Der erste Gauleiter der NSDAP in Pommern Karl Theodor Vahlen Glaubt man der Gaugeschichtsschreibung, nahm die NSDAP Pommerns „infolge ei ner wenig glücklichen politischen Führung keine nennenswerte Entwicklung"2. Der Gaupressesprecher, der 1940 seinem Buch „Der Gau Pommern" ein Kapitel „Der Weg der Bewegung" beifügen mußte, zog es vor, sich über den Aufenthalt des Ge freiten Hitler im Lazarett in Pasewalk zu verbreiten. Die Frühgeschichte der pom- merschen NSDAP war indes kein Thema3. So ist auch der erste Gauleiter der pom- merschen NSDAP, der Mathematikprofessor Karl Theodor Vahlen, der bis 1927 die Partei in dieser östlichen preußischen Provinz aufgebaut hatte, in Vergessenheit gera ten. Die Forschung, die sich, auch mangels Quellen, kaum mit der Geschichte des Aufstiegs der Nationalsozialisten in Pommern beschäftigt hat, fragte nicht, warum die „Kampfzeit" im Gau Pommern so wenig Aufmerksamkeit erfuhr4. Daran knüpft sich zwangsläufig die Frage an, ob dem pommerschen Gauleiter nur deshalb so we nig Beachtung geschenkt wurde, weil seine politische Arbeit so wenig Bemerkens wertes enthält, oder ob nicht doch ganz andere Gründe für dessen Nichtbeachtung vorliegen. 1 Hermann Fobke, Aus der nationalsozialistischen Bewegung. Bericht über die Gründung der Ar beitsgemeinschaft der nord- und westdeutschen Gaue der NSDAP, in: Werner Jochmann, Natio nalsozialismus und Revolution. Ursprung und Geschichte der NSDAP in Hamburg 1922-1933, Frankfun a. M. 1963, S. 208. 2 Herbert Gaede, Schwede-Coburg. Ein Lebensbild des Gauleiters und Oberpräsidenten von Pom mern, Berlin 1939, S. 22. 3 Vgl. Herbert Gaede, Pommern (= Die deutschen Gaue seit der Machtergreifung, hrsg. v. P. Meier- Benneckenstein), Berlin 1940, S. -
Von Mises' Frequentist Approach to Probability
Section on Statistical Education – JSM 2008 Von Mises’ Frequentist Approach to Probability Milo Schield1 and Thomas V. V. Burnham2 1 Augsburg College, Minneapolis, MN 2 Cognitive Systems, San Antonio, TX Abstract Richard Von Mises (1883-1953), the originator of the birthday problem, viewed statistics and probability theory as a science that deals with and is based on real objects rather than as a branch of mathematics that simply postulates relationships from which conclusions are derived. In this context, he formulated a strict Frequentist approach to probability. This approach is limited to observations where there are sufficient reasons to project future stability – to believe that the relative frequency of the observed attributes would tend to a fixed limit if the observations were continued indefinitely by sampling from a collective. This approach is reviewed. Some suggestions are made for statistical education. 1. Richard von Mises Richard von Mises (1883-1953) may not be well-known by statistical educators even though in 1939 he first proposed a problem that is today widely-known as the birthday problem.1 There are several reasons for this lack of recognition. First, he was educated in engineering and worked in that area for his first 30 years. Second, he published primarily in German. Third, his works in statistics focused more on theoretical foundations. Finally, his inductive approach to deriving the basic operations of probability is very different from the postulate-and-derive approach normally taught in introductory statistics. See Frank (1954) and Studies in Mathematics and Mechanics (1954) for a review of von Mises’ works. This paper is based on his two English-language books on probability: Probability, Statistics and Truth (1936) and Mathematical Theory of Probability and Statistics (1964). -
Carl Runge 1 Carl Runge
Carl Runge 1 Carl Runge Carl David Tolmé Runge (30. august 1856 Bremen – 3. jaanuar 1927 Göttingen) oli saksa matemaatik. Ta pani aluse tänapäeva praktilisele matemaatikale kui õpetusele matemaatilistest meetoditest loodusteaduslike ja tehniliste ülesannete arvutuslikul lahendamisel. Ta sündis jõuka kaupmees Julius Runge ja inglanna Fanny Tolmé pojana. Oma esimesed aastad veetis ta Havannas, kus tema isa haldas Taani konsulaati. Kodune keel oli eeskätt inglise keel. Carl Runge ja tema vennad omandasid Briti kombed ja vaated, eriti spordi, aususe, õigluse ja enesekindluse kohta. Hiljem kolis perekond Bremenisse, kus Carli isa 1864 suri. Aastal 1875 lõpetas ta Bremenis gümnaasiumi. Seejärel saatis ta oma ema pool aastat kultuurireisil Itaalias. Siis läks ta Münchenisse, kus ta algul õppis kirjandusteadust ja filosoofias kuid otsustas pärast kuuenädalast õppimist 1876 matemaatika ja füüsika kasuks. Ta õppis koos Max Planckiga, kellega ta sõbrunes. Müncheni ülikoolis oli ta populaarne uisutaja. Aastal 1877 jätkas ta (koos Planckiga) oma õpinguid Berliinis, mis oli Saksamaa matemaatika keskus ja kus teda mõjutasid eriti Leopold Carl Runge Kronecker ja Karl Weierstraß. Viimase loengute kuulamine kallutas ta keskenduma füüsika asemel puhtale matemaatikale. Aastal 1880 promoveerus ta Weierstraßi ning Ernst Eduard Kummeri juures tööga "Über die Krümmung, Torsion und geodätische Krümmung der auf einer Fläche gezogenen Curven". Tol ajal tuli doktorieksamil püstitada kolm teesi ja neid kaitsta. Üks Runge teesidest oli: "Matemaatilise distsipliini väärtust tuleb hinnata tema rakendatavuse järgi empiirilistele teadustele." Ta habiliteerus 1883. Runge tegeles algul puhta matemaatikaga. Kronecker oli teda innustanud tegelema arvuteooriaga ja Weierstraß funktsiooniteooriaga. Funktsiooniteoorias uuris ta holomorfsete funktsioonide aproksimeeritavust ratsionaalsete funktsioonidega, rajades Runge teooria. Berliini ajal sai ta oma tulevaselt äialt (kelle perekonnas ta oli sagedane külaline) teada Balmeri seeriast. -
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein To cite this version: David Aubin, Catherine Goldstein. Placing World War I in the History of Mathematics. 2013. hal- 00830121v1 HAL Id: hal-00830121 https://hal.sorbonne-universite.fr/hal-00830121v1 Preprint submitted on 4 Jun 2013 (v1), last revised 8 Jul 2014 (v2) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Placing World War I in the History of Mathematics David Aubin and Catherine Goldstein Abstract. In the historical literature, opposite conclusions were drawn about the impact of the First World War on mathematics. In this chapter, the case is made that the war was an important event for the history of mathematics. We show that although mathematicians' experience of the war was extremely varied, its impact was decisive on the life of a great number of them. We present an overview of some uses of mathematics in war and of the development of mathematics during the war. We conclude by arguing that the war also was a crucial factor in the institutional modernization of mathematics. Les vrais adversaires, dans la guerre d'aujourd'hui, ce sont les professeurs de math´ematiques`aleur table, les physiciens et les chimistes dans leur laboratoire. -
The Scientific Content of the Letters Is Remarkably Rich, Touching on The
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Reviews / Historia Mathematica 33 (2006) 491–508 497 The scientific content of the letters is remarkably rich, touching on the difference between Borel and Lebesgue measures, Baire’s classes of functions, the Borel–Lebesgue lemma, the Weierstrass approximation theorem, set theory and the axiom of choice, extensions of the Cauchy–Goursat theorem for complex functions, de Geöcze’s work on surface area, the Stieltjes integral, invariance of dimension, the Dirichlet problem, and Borel’s integration theory. The correspondence also discusses at length the genesis of Lebesgue’s volumes Leçons sur l’intégration et la recherche des fonctions primitives (1904) and Leçons sur les séries trigonométriques (1906), published in Borel’s Collection de monographies sur la théorie des fonctions. Choquet’s preface is a gem describing Lebesgue’s personality, research style, mistakes, creativity, and priority quarrel with Borel. This invaluable addition to Bru and Dugac’s original publication mitigates the regrets of not finding, in the present book, all 232 letters included in the original edition, and all the annotations (some of which have been shortened). The book contains few illustrations, some of which are surprising: the front and second page of a catalog of the editor Gauthier–Villars (pp. 53–54), and the front and second page of Marie Curie’s Ph.D. thesis (pp. 113–114)! Other images, including photographic portraits of Lebesgue and Borel, facsimiles of Lebesgue’s letters, and various important academic buildings in Paris, are more appropriate. -
The Interpretation of Probability: Still an Open Issue? 1
philosophies Article The Interpretation of Probability: Still an Open Issue? 1 Maria Carla Galavotti Department of Philosophy and Communication, University of Bologna, Via Zamboni 38, 40126 Bologna, Italy; [email protected] Received: 19 July 2017; Accepted: 19 August 2017; Published: 29 August 2017 Abstract: Probability as understood today, namely as a quantitative notion expressible by means of a function ranging in the interval between 0–1, took shape in the mid-17th century, and presents both a mathematical and a philosophical aspect. Of these two sides, the second is by far the most controversial, and fuels a heated debate, still ongoing. After a short historical sketch of the birth and developments of probability, its major interpretations are outlined, by referring to the work of their most prominent representatives. The final section addresses the question of whether any of such interpretations can presently be considered predominant, which is answered in the negative. Keywords: probability; classical theory; frequentism; logicism; subjectivism; propensity 1. A Long Story Made Short Probability, taken as a quantitative notion whose value ranges in the interval between 0 and 1, emerged around the middle of the 17th century thanks to the work of two leading French mathematicians: Blaise Pascal and Pierre Fermat. According to a well-known anecdote: “a problem about games of chance proposed to an austere Jansenist by a man of the world was the origin of the calculus of probabilities”2. The ‘man of the world’ was the French gentleman Chevalier de Méré, a conspicuous figure at the court of Louis XIV, who asked Pascal—the ‘austere Jansenist’—the solution to some questions regarding gambling, such as how many dice tosses are needed to have a fair chance to obtain a double-six, or how the players should divide the stakes if a game is interrupted. -
Obituary: FELIX POLLACZEK Felix Pollaczek Was Born on 1 December
Obituary: FELIX POLLACZEK Felix Pollaczek was born on 1 December 1892 in Vienna, Austria; he was the descendant of a well-known mid-European Jewish family which for several centuries had counted many learned men amongst its members. He became a Frenchman by naturalization in 1947. He obtained his scientific education and training at the Latin grammar school of Vienna, and at the Technical Univer- sities of Vienna and Brno (Czechoslovakia); he later studied mathematics at the University of Berlin. A master's degree in electrical engineering in 1920 from Brno was followed by a doctoral degree in mathematics in 1922 from Berlin with a thesis on number theory. This was concerned with the fields generated by the Ith and 12th roots of one, I being an irregular prime number. His first paper, on number theory, dates from 1917. He was employed in 1921 as an engineer by A.E.G. in Berlin. Then, in 1923, he became scientific adviser to the German Postal, Telephone and Telegraph Services at Reichspost-Zentralamt Berlin-Tempelhof. As a result of the political situation in Germany in 1933, he was dismissed from his post and then left the country. In Paris he made his living as a consulting engineer for the Societe d'Etudes pour Liaisons Telephoniques et Telegraphiques. In 1939-1940 and again from 1944 on, he held the position of Maitre de Recherches at the Centre National de la Recherche Scientifique in Paris. Felix Pollaczek's fruitful life came to an end on 29 April 1981 at Boulogne- Billancourt. In 1977 Pollaczek was awarded the John von Neumann Theory Prize by the ORSA-TIMS prize committee. -
Geometry of Logarithmic Strain Measures in Solid Mechanics
Geometry of logarithmic strain measures in solid mechanics Patrizio Neff,1 Bernhard Eidel2 and Robert J. Martin3 Published in Arch. Rational Mech. Anal., vol. 222 (2016), 507{572. DOI: 10.1007/s00205-016-1007-x In memory of Giuseppe Grioli (*10.4.1912 { 4.3.2015), a true paragon of rational mechanics y November 1, 2016 Abstract We consider the two logarithmic strain measures T T !iso = devn log U = devn log pF F and !vol = tr(log U) = tr(log pF F ) = log(det U) ; k k k k j j j j j j which are isotropic invariants of the Hencky strain tensor log U, and show that they can be uniquely characterized by purely geometric methods based on the geodesic distance on the general linear group GL(n). Here, F is the deformation gradient, U = pF T F is the right Biot-stretch tensor, log denotes the principal matrix logarithm, : is the Frobenius matrix norm, tr is the trace operator and devn X = 1 k k n n X tr(X) 1 is the n-dimensional deviator of X R × . This characterization identifies the Hencky (or − n · 2 true) strain tensor as the natural nonlinear extension of the linear (infinitesimal) strain tensor " = sym u, r which is the symmetric part of the displacement gradient u, and reveals a close geometric relation r between the classical quadratic isotropic energy potential 2 κ 2 2 κ 2 µ devn sym u + [tr(sym u)] = µ devn " + [tr(")] k r k 2 r k k 2 in linear elasticity and the geometrically nonlinear quadratic isotropic Hencky energy 2 κ 2 2 κ 2 µ devn log U + [tr(log U)] = µ ! + ! ; k k 2 iso 2 vol where µ is the shear modulus and κ denotes the bulk modulus. -
Herbert Busemann (1905--1994)
HERBERT BUSEMANN (1905–1994) A BIOGRAPHY FOR HIS SELECTED WORKS EDITION ATHANASE PAPADOPOULOS Herbert Busemann1 was born in Berlin on May 12, 1905 and he died in Santa Ynez, County of Santa Barbara (California) on February 3, 1994, where he used to live. His first paper was published in 1930, and his last one in 1993. He wrote six books, two of which were translated into Russian in the 1960s. Initially, Busemann was not destined for a mathematical career. His father was a very successful businessman who wanted his son to be- come, like him, a businessman. Thus, the young Herbert, after high school (in Frankfurt and Essen), spent two and a half years in business. Several years later, Busemann recalls that he always wanted to study mathematics and describes this period as “two and a half lost years of my life.” Busemann started university in 1925, at the age of 20. Between the years 1925 and 1930, he studied in Munich (one semester in the aca- demic year 1925/26), Paris (the academic year 1927/28) and G¨ottingen (one semester in 1925/26, and the years 1928/1930). He also made two 1Most of the information about Busemann is extracted from the following sources: (1) An interview with Constance Reid, presumably made on April 22, 1973 and kept at the library of the G¨ottingen University. (2) Other documents held at the G¨ottingen University Library, published in Vol- ume II of the present edition of Busemann’s Selected Works. (3) Busemann’s correspondence with Richard Courant which is kept at the Archives of New York University. -
Volume 9, Number 4 N~NSLETTER July-August 1979 PRESIDENT' S REPORT Duluth Meeting. the 1979 AWM Summer Meeting Will Be Held at T
Volume 9, Number 4 N~NSLETTER July-August 1979 **************************************************************************************** PRESIDENT' S REPORT Duluth meeting. The 1979 AWM summer meeting will be held at the joint mathematics meetings at the University of Minnesota in Duluth. All of our scheduled events will be on Thursday, August 23. They are: a panel discussion at 4 p.m. in Bohannon 90 on "Math education: a feminist per- spective." Moderator: Judy Roltman, University of Kansas Panelists: Lenore Blum, Mills College Deborah Hughes Hallett, Harvard University Diane Resek, San Francisco State University We also hope to have materials to present from a re-entry program in the De Anza Community College District (California). a business meeting at 5 p.m. in Bohannon 90 (following the panel). Agenda: new by-laws Goal: to get a members' consensus on new by-laws to be voted on in the fall by mail ballot. a wine and cheese party at 8 p.m. in the lounge of the Kirby Student Center. There will also be an AWM table staffed throughout the meeting. Volunteers are needed to staff it - check with us when you come to the meetings. Come on by and visitl bring your friends too. Also in Duluth: the MAA's HedrIck Lectures will be presented by Mary Ellen Rudin of the Universlty of Wisconsin, Madison. By-laws. The by-laws will be written up by mld-July, and available from the AWM office. Suggestions and amendments are welcome. The procedure is that they will be presented at Duluth for amendment and non-blnding sense-of-the-meeting comments. -
Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
Matical Society Was Held at the George Washington University, Washington, D
THE APRIL MEETING IN WASHINGTON The three hundred sixty-ninth meeting of the American Mathe matical Society was held at The George Washington University, Washington, D. C, on Friday and Saturday, April 26-27, 1940. The attendance included the following one hundred sixty members of the Society : C. R. Adams, C. B. Allendoerfer, R. C. Archibald, J. V. Atanasoff, Harry Bate- man, E. E. Betz, Archie Blake, R. P. Boas, A. T. Brauer, Richard Brauer, R. S. Burington, Herbert Busemann, W. E. Byrne, S. S. Cairns, J. W. Calkin, W. B. Campbell, C. E. Carey, Randolph Church, Paul Civin, J. M. Clarkson, G. R. Clements, Abraham Cohen, I. S. Cohen, Nancy Cole, M. J. Cox, H. S. M. Coxeter, P. D. Crout, H. B. Curry, Tobias Dantzig, C. H. Dowker, Arnold Dresden, J. E. Eaton, Samuel Eilenberg, L. P. Eisenhart, M. L. Elveback, Paul Erdös, W. K. Feller, E. J. Finan, D. A. Flanders, W. W. Flexner, R. M. Foster, Hilda Geiringer, Abe Gelbart, P. W. Gilbert, Wallace Givens, Michael Goldberg, Michael Golomb, B. L. Hagen, D. W. Hall, O. G. Harrold, Philip Hartman, G. A. Hedlund, Edward Helly, Olaf Helmer, J. G. Herriot, Einar Hille, M. P. Hollcroft, T. R. Hollcroft, Witold Hurewicz, Nathan Jacobson, S. A. Jennings, Evan Johnson, R. F. Johnson, F. E. Johnston, H. A. Jordan, E. R. van Kampen, Wilfred Kaplan, J. L. Kelley, S. C. Kleene, J. R. Kline, E. R. Kolchin, H. L. Krall, W. D. Lambert, O. E. Lancaster, A. E. Landry, Solomon Lefschetz, D.T. McClay, N.H. McCoy, Brockway McMillan, E.