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How I Learned to Stop Worrying and Love the Bombe: Machine Research and Development and Bletchley Park
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CURVE/open How I learned to stop worrying and love the Bombe: Machine Research and Development and Bletchley Park Smith, C Author post-print (accepted) deposited by Coventry University’s Repository Original citation & hyperlink: Smith, C 2014, 'How I learned to stop worrying and love the Bombe: Machine Research and Development and Bletchley Park' History of Science, vol 52, no. 2, pp. 200-222 https://dx.doi.org/10.1177/0073275314529861 DOI 10.1177/0073275314529861 ISSN 0073-2753 ESSN 1753-8564 Publisher: Sage Publications Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders. This document is the author’s post-print version, incorporating any revisions agreed during the peer-review process. Some differences between the published version and this version may remain and you are advised to consult the published version if you wish to cite from it. Mechanising the Information War – Machine Research and Development and Bletchley Park Christopher Smith Abstract The Bombe machine was a key device in the cryptanalysis of the ciphers created by the machine system widely employed by the Axis powers during the Second World War – Enigma. -
Stdin (Ditroff)
Notes to accompany four Alan Turing videos 1. General The recent (mid-November 2014) release of The Imitation Game movie has caused the com- prehensive Alan Hodges biography of Turing to be reprinted in a new edition [1]. This biog- raphy was the basis of the screenplay for the movie. A more recent biography, by Jack Copeland [2], containing some new items of information, appeared in 2012. A more techni- cal work [3], also by Jack Copeland but with contributed chapters from other people, appeared in 2004. 2. The Princeton Years 1936–38. Alan Turing spent the years from 1936–38 at Princeton University studying mathematical logic with Prof. Alonzo Church. During that time Church persuaded Turing to extend the Turing Machine ideas in the 1936 paper and to write the results up as a Princeton PhD. You can now obtaing a copy of that thesis very easily [4] and this published volume contains extra chapters by Andrew Appel and Solomon Feferman, setting Turing’s work in context. (Andrew Appel is currently Chair of the Computer Science Dept. at Princeton) 3. Cryptography and Bletchley park There are many texts available on cryptography in general and Bletchley Park in particu- lar. A good introductory text for the entire subject is “The Code Book” by Simon Singh [5] 3.1. Turing’s Enigma Problem There are now a large number of books about the deciphering of Enigma codes, both in Hut 6 and Hut 8. A general overview is given by “Station X” by Michael Smith [6] while a more detailed treatment, with several useful appendices, can be found in the book by Hugh Sebag-Montefiore [7]. -
Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
Universalization of LGBTQ Rights
ODUMUNC 2017 Issue Brief Third Committee: Social, Humanitarian, and Cultural Universalization of LGBTQ Rights by Tiana Bailey Old Dominion University Model United Nations Society are working to extend those rights to protect Introduction individual gender identity globally. But reverse processes also can be seen. Other UN Member The question of whether and how to States have established laws to bloc such acknowledge and protect individual rights over reforms, including prohibiting public discussion gender identity is a difficult issue for the of homosexuality and trans-gender rights and international community. Although UN Member criminalizing same-sex relationships. States have dealt with this and related policy issues for hundreds of years, traditionally state policy meant persecution. Since the mid- Twentieth Century, partially in response to the persecution and killing of Fascist and Nazi governments in the 1930s and ‘40s, policy has shifted to include greater protection of their rights as equal citizens. A major issue for the international community today is whether and how to best assure those rights, whether outright universalization of LGBTQ rights is feasible, and how to achieve it. Not only are more UN Member States seeking to universalize their rights, they seek to apply them to a growing group of people. This is seen in the rising importance of the abbreviation LGBTQ, originated in the 1990s to replace what was formerly known as ‘the gay community’, and include more diverse groups. LGBTQ stands for lesbian, gay, bisexual, transgender, and queer (and/or questioning) individuals/identities. What At the worst, discrimination and persecution all share are non-heterosexual perspectives and leads to violent attacks. -
This Story Begins Sometime in the Early 1930S, When the Poles And
XYZ Prof. Włodzimierz Zawadzki Institute of Physics, Polish Academy of Sciences [email protected] Mathematicians are important, and not just in wartime. his story begins sometime in the early 1930s, developing programmable computers. Knox informed when the Poles and the French first took an Turing about the progress made by the Poles, and Tur- T interest in breaking the code generated by the ing built a sophisticated machine of his own that was Enigma encryption machines. The Enigma was a Ger- capable of cracking the increasingly complex Wehr- man-made electro-mechanical device that looked a bit macht codes. In a nod to the Polish pioneers, Turing like a typewriter with little lights, and prior to WWII too called his device “the bomb.” Despite the urgings they were available commercially. The decision to of British intelligence, Bertrand was reluctant to get crack the Enigma code proved far-sighted when the the Polish team out of Nazi-occupied France and into machines underwent a complex and classified rede- Bletchley Park. The team ended up in southern France sign for military purposes in the run-up to the war. and, at one point, in North Africa. Despite their con- Codebreaking challenges had earlier been handled tinuing insights, the Polish team’s direct contribution by linguists, but the Enigma’s rotor-encrypted codes to the breaking of the Enigma code diminished. required codebreakers with a mathematical back- When the United States joined the war, one of the ground. The Polish Cipher Bureau, an intelligence out- most difficult aspects of Enigma decryption focused fit located near Warsaw, set up a task force consisting on the communications of the German U-boat fleet, of Marian Rejewski, Henryk Zygalski and Jerzy Róży- which harassed American supply convoys crossing cki. -
Warsaw in Short
WarsaW TourisT informaTion ph. (+48 22) 94 31, 474 11 42 Tourist information offices: Museums royal route 39 Krakowskie PrzedmieÊcie Street Warsaw Central railway station Shops 54 Jerozolimskie Avenue – Main Hall Warsaw frederic Chopin airport Events 1 ˚wirki i Wigury Street – Arrival Hall Terminal 2 old Town market square Hotels 19, 21/21a Old Town Market Square (opening previewed for the second half of 2008) Praga District Restaurants 30 Okrzei Street Warsaw Editor: Tourist Routes Warsaw Tourist Office Translation: English Language Consultancy Zygmunt Nowak-Soliƒski Practical Information Cartographic Design: Tomasz Nowacki, Warsaw Uniwersity Cartographic Cathedral Photos: archives of Warsaw Tourist Office, Promotion Department of the City of Warsaw, Warsaw museums, W. Hansen, W. Kryƒski, A. Ksià˝ek, K. Naperty, W. Panów, Z. Panów, A. Witkowska, A. Czarnecka, P. Czernecki, P. Dudek, E. Gampel, P. Jab∏oƒski, K. Janiak, Warsaw A. Karpowicz, P. Multan, B. Skierkowski, P. Szaniawski Edition XVI, Warszawa, August 2008 Warsaw Frederic Chopin Airport Free copy 1. ˚wirki i Wigury St., 00-906 Warszawa Airport Information, ph. (+48 22) 650 42 20 isBn: 83-89403-03-X www.lotnisko-chopina.pl, www.chopin-airport.pl Contents TourisT informaTion 2 PraCTiCal informaTion 4 fall in love wiTh warsaw 18 warsaw’s hisTory 21 rouTe no 1: 24 The Royal Route: Krakowskie PrzedmieÊcie Street – Nowy Âwiat Street – Royal ¸azienki modern warsaw 65 Park-Palace Complex – Wilanów Park-Palace Complex warsaw neighborhood 66 rouTe no 2: 36 CulTural AttraCTions 74 The Old -
Woodland Reserves Within an Urban Agglomeration As Important Refuges for Small Mammals
Folia Forestalia Polonica, series A – Forestry, 2017, Vol. 59 (1), 3–13 ORIGINAL ARTICLE DOI: 10.1515/ffp-2017-0001 Woodland reserves within an urban agglomeration as important refuges for small mammals Jakub Gryz1, Grzegorz Lesiński2, Dagny Krauze-Gryz3 , Przemysław Stolarz4 1 Forest Research Institute, Department of Forest Ecology, Sękocin Stary, Braci Leśnej 3, 05-090 Raszyn, Poland 2 Warsaw University of Life Sciences – SGGW, Faculty of Animal Sciences, Ciszewskiego 8, 02-786 Warsaw, Poland 3 Warsaw University of Life Sciences – SGGW, Faculty of Forestry, Department of Forest Zoology and Wildlife Management, Nowoursynowska 159, 02-776 Warsaw, Poland, phone: +48 22 59 38 181, fax: +48 22 59 38 145, e-mail: [email protected] 4 Medical University of Warsaw, Banacha 1a, 02-097 Warsaw, Poland AbstrAct The aim of the study was to determine the species richness (S, Chao- 1 index) and diversity (Shannon–Wiener H’ in- dex, diversity profiles) of small mammal assemblages in woodland reserves in an urban agglomeration and to compare the similarity of assemblages (with the use of Ward’s method) in terms of proportions of small mammals connected to the habitats of different level of naturalness. The work was conducted from 2004–2015 at 9 woodland reserves in Warsaw (Poland). On the basis of the analysis of pellets of tawny owls Strix aluco, 2792 individuals were identified (24 species). Reserves supported from 7 to 16 of the small mammal species, the highest overall number of species estimated (Chao-1) was 19. Species present in every reserve were Apodemus flavicollis, A. agrarius, Rattus norvegi- cus, Sorex araneus and Talpa europaea. -
Judith Leah Cross* Enigma: Aspects of Multimodal Inter-Semiotic
91 Judith Leah Cross* Enigma: Aspects of Multimodal Inter-Semiotic Translation Abstract Commercial and creative perspectives are critical when making movies. Deciding how to select and combine elements of stories gleaned from books into multimodal texts results in films whose modes of image, words, sound and movement interact in ways that create new wholes and so, new stories, which are more than the sum of their individual parts. The Imitation Game (2014) claims to be based on a true story recorded in the seminal biography by Andrew Hodges, Alan Turing: The Enigma (1983). The movie, as does its primary source, endeavours to portray the crucial role of Enigma during World War Two, along with the tragic fate of a key individual, Alan Turing. The film, therefore, involves translation of at least two “true” stories, making the film a rich source of data for this paper that addresses aspects of multimodal inter-semiotic translations (MISTs). Carefully selected aspects of tales based on “true stories” are interpreted in films; however, not all interpretations possess the same degree of integrity in relation to their original source text. This paper assumes films, based on stories, are a form of MIST, whose integrity of translation needs to be assessed. The methodology employed uses a case-study approach and a “grid” framework with two key critical thinking (CT) standards: Accuracy and Significance, as well as a scale (from “low” to “high”). This paper offers a stretched and nuanced understanding of inter-semiotic translation by analysing how multimodal strategies are employed by communication interpretants. Keywords accuracy; critical thinking; inter-semiotic; multimodal; significance; translation; truth 1. -
Polish Mathematicians Finding Patterns in Enigma Messages
Fall 2006 Chris Christensen MAT/CSC 483 Machine Ciphers Polyalphabetic ciphers are good ways to destroy the usefulness of frequency analysis. Implementation can be a problem, however. The key to a polyalphabetic cipher specifies the order of the ciphers that will be used during encryption. Ideally there would be as many ciphers as there are letters in the plaintext message and the ordering of the ciphers would be random – an one-time pad. More commonly, some rotation among a small number of ciphers is prescribed. But, rotating among a small number of ciphers leads to a period, which a cryptanalyst can exploit. Rotating among a “large” number of ciphers might work, but that is hard to do by hand – there is a high probability of encryption errors. Maybe, a machine. During World War II, all the Allied and Axis countries used machine ciphers. The United States had SIGABA, Britain had TypeX, Japan had “Purple,” and Germany (and Italy) had Enigma. SIGABA http://en.wikipedia.org/wiki/SIGABA 1 A TypeX machine at Bletchley Park. 2 From the 1920s until the 1970s, cryptology was dominated by machine ciphers. What the machine ciphers typically did was provide a mechanical way to rotate among a large number of ciphers. The rotation was not random, but the large number of ciphers that were available could prevent depth from occurring within messages and (if the machines were used properly) among messages. We will examine Enigma, which was broken by Polish mathematicians in the 1930s and by the British during World War II. The Japanese Purple machine, which was used to transmit diplomatic messages, was broken by William Friedman’s cryptanalysts. -
Román Ceano © Román Ceano
La máquina enigma Román Ceano © Román Ceano. Todos los derechos reservados. El libro fue compilado de http://www.kriptopolis.org/enigma La fotografía sacada de http://enigma.wikispaces.com/file/view/enigma.jpg/30598271 Preludio En el verano de 1938, una pequeña localidad del condado de Buckingham vio perturbada su tranquilidad por la llegada de unos estrafalarios visitantes. Se trataba de hombres de aspecto próspero pero descuidado, acompañados por chicas que los lugareños juzgaron sospechosamente guapas y alegres. Estaban dirigidos al parecer por un tal Capitán Ridley, y decían que el motivo de su presencia era la caza. Ninguna de las camareras que les servían la cena en los hotelitos de la zona les oyó comentar anécdota cinegética alguna, lo cual era congruente con el hecho de que faltaban meses para la temporada. Lo que sí les oyeron comentar eran los opíparos almuerzos con que se obsequiaban. Estos debían tener lugar en la propiedad llamada Bletchley Park, puesto que allí se dirigían todos en sus coches cada mañana y de allí volvían cada tarde. Todo el mundo en Bletchley conocía la finca, sin duda la mejor de la comarca. La había creado sesenta años antes un exitoso corredor de bolsa de Londres llamado Herbert Leon, deseoso de disfrutar de la vida rural de las clases altas victorianas. Presidía la finca una mansión cuya fachada lucía una grotesca mezcla de estilos, que imitaba los palacios de las grandes familias rurales que habían sido reformados varias veces durante centurias. En la parte trasera había un gran patio, separado del edificio principal, donde estaban las cuadras, una enorme despensa donde guardar fruta fresca para el invierno y varias edificaciones auxiliares que recreaban de manera muy fidedigna el centro de operaciones de una propiedad rural. -
Jewish National Organizations in the United States
JEWISH NATIONAL ORGANIZATIONS IN THE UNITED STATES INote.—The information given below is as of May 1, 1924.—An askrisk(*) indicates that revised data was not furnished upon request.] ALPHA EPSILON PI FRATERNITY Org. 1913. OFFICE 131 W. 13th, New York City Tenth Annual Convention, Dec. 29-31, 1923, New York City. Chapters, 12. Members, 350. PURPOSE: A national collegiate Greek-letter organization for Jew- ish students. OFFICERS: Pres., Sidney Picker, N. Y. C; Vice-Pres., William Cohen, N. Y. C; Treas., Herman Rolnick, N. Y. C; Sec., Louis S. Amreich, Brooklyn, N. Y. BOARD OF GOVERNORS: The officers and Milton Adler, Brook- lyn, N. Y.; Lewis J. Laventhol, Philadelphia, Pa.; Alfred D. Peltz, Brooklyn, N. Y.; Theodore R. Racoosin, N. Y. C; I. L. Rubin, Phila- delphia, Pa. ALPHA EPSILON PHI SORORITY Org. 1909. OFFICE: 134 E. 43d New York City Convention, Dec. 24, 1920, New York City Members 950. PURPOSE: TO foster close friendship between members, to stimulate the intellectual, social and spiritual life of the members, and to count as a force through service rendered to others. OFFICERS: Dean, Alice Borchard Greene (Mrs. S.), Montclair, N. J.; Sub.-Dean, Rose Oltusky, Waukegan, 111.; Treas., Jeanette Armstrong Slatoff (Mrs. E.), Newark, N. J.; Scribe, Stella Caplin Bloom (Mrs. N.) 338 McDonough, Brooklyn, N. Y. ALPHA OMEGA FRATERNITY Org. 1906, Inc., 1909. OFFICE: Secretary, 2435 N. 17th, Philadelphia, Pa. Sixteenth Annual Convention, Dec. 26-28, 1923. Boston, Mass. Members, 2,000. PURPOSE: Uphold the highest standards of the dental profession, provide for ourselves the pleasures.of universal brotherhood and to promote our general welfare. -
The Enigma History and Mathematics
The Enigma History and Mathematics by Stephanie Faint A thesis presented to the University of Waterloo in fulfilment of the thesis requirement for the degree of Master of Mathematics m Pure Mathematics Waterloo, Ontario, Canada, 1999 @Stephanie Faint 1999 I hereby declare that I am the sole author of this thesis. I authorize the University of Waterloo to lend this thesis to other institutions or individuals for the purpose of scholarly research. I further authorize the University of Waterloo to reproduce this thesis by pho tocopying or by other means, in total or in part, at the request of other institutions or individuals for the purpose of scholarly research. 11 The University of Waterloo requires the signatures of all persons using or pho tocopying this thesis. Please sign below, and give address and date. ill Abstract In this thesis we look at 'the solution to the German code machine, the Enigma machine. This solution was originally found by Polish cryptologists. We look at the solution from a historical perspective, but most importantly, from a mathematical point of view. Although there are no complete records of the Polish solution, we try to reconstruct what was done, sometimes filling in blanks, and sometimes finding a more mathematical way than was originally found. We also look at whether the solution would have been possible without the help of information obtained from a German spy. IV Acknowledgements I would like to thank all of the people who helped me write this thesis, and who encouraged me to keep going with it. In particular, I would like to thank my friends and fellow grad students for their support, especially Nico Spronk and Philippe Larocque for their help with latex.