61. Stephen Cole Kleene, January 5, 1909—January 25, 1994 | By Saunders Mac Lane | Photo by Harold N. Hone, Madison, Wisconsin, stephen Cole KleeneJanuary 5, 1909 — January 25, 1994 By Saunders Mac Lane. STEVE http://www.nap.edu/html/biomems/skleene.html

BIOGRAPHICAL MEMOIRS National Academy of Sciences Photo by Harold N. Hone, Madison, Wisconsin Stephen Cole Kleene By Saunders Mac Lane STEVE KLEENE, A YANKEE from Maine, became a pioneer mathematical logician. His clear, precise ideas developed the modern study of computable functions and of automata. He was also a devoted mountaineer. Kleene was born in 1909 in Hartford, Connecticut, but his real home was his paternal grandfather's farm in Union, Maine. In 1930 Kleene graduated summa cum laude from Amherst College. He had become fascinated with mathematics, and he went to Princeton University for graduate study in that subject. At Princeton, the mathematician Oswald Veblen had understood that the development of logic required careful analysis by mathematicians. His student Alonzo Church joined the Princeton faculty and initiated the mathematical and logical study of those functions that are "computable." For this purpose Church devised his so-called lambda calculus, which provided the names for all functions. For example, the notation x x + 1) with the Greek letter lambda names the function that sends each number x to its square plus 1, and likewise with other functions. Church developed this calculus as a new formal foundation for all of mathematics. Kleene and his fellow student Barkley Rosser studied it with care, and presently found that it led to a contradiction.

62. Stephen C. Kleene Written by SC kleene , stephen Cole kleene Published by Elsevier ScienceLtd (August 1971) ISBN 0444100881 Price $64.00. Books. Collected http://biologybooks.net/search_Stephen_C._Kleene/searchBy_Author.html

Home Search High Volume Orders Links ... Laboratory Manuals Additional Subjects The Oyster Anatomy Atlas The Cell Regents Answers ... Barron's Regents Exams Answers Featured Books Collected Works: Publications 1938-1974 A summary of his statement on p. 125 on "Russell's Mathematical Logic" describes the "vicious circle principle: forbids a certain kind of circularity which is made responsible for the paradoxes. The fallacy in these, so it is contended, consists in the circumstance that one defines (or tacitly assumes) totalities, whose existence would entail the existence of certain new elements of the same totality, namely elements definable only in terms of the whole totality." This led to the formulation ... Written by Kurt Godel Solomon Feferman Stephen C. Kleene Gregory H. Moore ... Jean Van Heijenoort Published by Oxford University Press (March 2001) ISBN 0195147219 Price $34.95 Introduction to Metamathematics Mathematicians are always aware of the precision and consistency of their asserts, so they need to be trained in the very fundamentals of their science.This book provides an enlightening vision about the basis of mathematics exploring such abstract topics as the paradoxes of set theory, transfinite numbers, and much more.I used this book as a reference in a course I gave on mathematical logic, set theory, and the fundamentals of the number systems. Written by S.C. Kleene

63. Learn More About Stephen Cole Kleene In The Online Encyclopedia. Visit the Online Encyclopedia and learn more and get your questions answeredabout stephen Cole kleene. see previous page. stephen Cole kleene. http://www.onlineencyclopedia.org/s/st/stephen_cole_kleene.html

You are here: Online Encyclopedia Enter a phrase or search word in the box below. You can enter multiple phrases at a time by putting a comma between each word.(e.g. cat ,dog ,lion ) Press the search button to start your search. Hint: Play with putting spaces before and after your words to see the different results you get. see previous page Stephen Cole Kleene Stephen Cole Kleene January 5 January 25 ) was an American mathematician whose work at the University of Wisconsin - Madison helped lay the foundations for theoretical computer science . Kleene was best known for founding the branch of mathematical logic known as recursion theory together with Alonzo Church , Alan Turing and others; and for inventing regular expressions . By providing methods of determining which problems are soluble, Kleene's work led to the study of which functions are computable . The Kleene star Kleene's recursion theorem and the Ascending Kleene Chain are named after him. He also contributed to mathematical intuitionism as founded by Luitzen Egbertus Jan Brouwer Kleene was born in Hartford Connecticut USA . He received his bachelor of arts degree from Amherst College in . From 1930 to , he was a graduate student and research assistant at Princeton University , where he received his doctorate in mathematics in , supervised by Alonzo Church , for a thesis entitled A Theory of Positive Integers in Formal Logic . In 1935, he joined the UW-Madison mathematics department as an instructor. He became an assistant professor in

64. Antología De Epistemología E Informática, Compilada Por Claudio Gutiérrez, C 2000. kleene, stephen C. (1936). General Recursive Functions of Natural Numbers,Mathematische Annalen, vol. 112. kleene, stephen C. (1950). http://claudiogutierrez.com/bid-fod-uned/bibliografia.html

BIBLIOGRAFÍA Cognitive Science , vol. 9. Addanki, S. (1987). Connectionism (Shapiro 87). Mentes y máquinas (México: UNAM). Anderson, John R. (1989). A Theory of the Origins of Human Knowledge, Artificial Intelligence , vol. 40. Austin, J.L. (1962). How to do Things with Words (Cambridge, Mass.: Harvard University Press). Bartlett, F.C. (1932). Remembering (Cambridge, UK: Cambridge University Press). Barto, A.G. (1985). Learning by Statistical Cooperation of Self-Interested Neuron-like Computing Elements, Human Neurobiology , vol. 4. Berliner, Hans (1988). New Hitech Computer Chess Success, AI Magazine , vol. 9. Scientific Excellence in Supercomputing (Athens, Georgia: The Baldwin Press). Boden, Margaret A. (1984). Inteligencia artificial y el hombre natural (Madrid: Tecnos). Computability and Logic (Cambridge, UK: Cambridge University Press). Brooks, Frederick (1975). The Mythical Man-Month (Reading, Mass.: Addison-Wesley). Carnap, Rudolf (1937). The Logical Syntax of Language Castañeda, Héctor Neri (1967).

65. The Mathematics Genealogy Project - Stephen Kleene stephen Cole kleene Biography Ph.D. Princeton University 1934. According to our currentonline database, stephen kleene has 13 students and 200 descendants. http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=8012

66. The Mathematics Genealogy Project - Update Data For Stephen Kleene The Mathematics Genealogy Project http://genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=8012

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Search: Math and Natural Sciences Applied Arts Social Sciences Culture ... Interdisciplinary Categories All pages Stencil Stendal Stendal (district) Stendec ... Caption This This document is licensed under the GNU Free Documentation License (GFDL), which means that you can copy and modify it as long as the entire work (including additions) remains under this license. GFDL SOURCE

68. DBLP: Stephen Cole Kleene dblp.unitrier.de stephen Cole kleene. List of publications from the DBLP BibliographyServer - FAQ 1979. 9, stephen Cole kleene Algorithms in various contexts. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/k/Kleene:Stephen_Cole.

Stephen Cole Kleene List of publications from the DBLP Bibliography Server FAQ Ask others: ACM DL ACM Guide CiteSeer CSB ... Google Stephen Cole Kleene: Algorithms in various contexts. Algorithms in Modern Mathematics and Computer Science 1979 Stephen Cole Kleene: Origins of Recursive Function Theory FOCS 1979 J. Symb. Log. 43 J. Symb. Log. 41 Stephen Cole Kleene: An Addendum: Disjunction and Existence Under Implication in Elementary Intuitionistic Formalisms. J. Symb. Log. 28 Stephen Cole Kleene: Disjunction and Existence Under Implication in Elementary Intuitionistic Formalisms. J. Symb. Log. 27 Stephen Cole Kleene: On the Interpretation of Intuitionistic Number Theory. J. Symb. Log. 10 Stephen Cole Kleene: Third Meeting of the Association for Symbolic Logic. J. Symb. Log. 3 Stephen Cole Kleene: On Notation for Ordinal Numbers. J. Symb. Log. 3 DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Fri May 28 13:12:35 2004

69. Stephen C. Kleene: New & Used Books: Find The Lowest Price stephen C. kleene Compare new and used books prices among 90 book stores ina click. Find the lowest price. Searched in books for stephen C. kleene. http://www.fetchbook.co.uk/search_Stephen_C._Kleene/searchBy_Author.html

About Bookmark Recommend Us Enhance Your Site ... Help Keyword Title Author ISBN Searched in books for Stephen C. Kleene titles matched your search. Search took seconds. Kurt Godel: Publications 1929-1936 By Kurt Godel Solomon Feferman John W. Dawson Stephen C. Kleene ... Jean Van Heijenoort Paperback / Oxford University Press Inc, USA / July 2001 / 0195147200 Books Similar to Kurt Godel: Publications 1929-1936 Compare Prices Book Reviews Kurt Godel: Publications 1938-1974 By Kurt Godel John W. Dawson Stephen C. Kleene Gregory H. Moore ... Solomon Feferman Paperback / Oxford University Press Inc, USA / May 2001 / 0195147219 Books Similar to Kurt Godel: Publications 1938-1974 Compare Prices Book Reviews Kurt Godel: Publications 1938-1974 By Kurt Godel S. Feferman John W. Dawson Stephen C. Kleene ... Jean Van Heijenoort Hardcover / Oxford University Press Inc, USA / April 1990 / 0195039726

70. Basic Library List-Foundations And Mathematical Logic kleene, stephen C. Mathematical Logic New York, NY John Wiley, 1967. *** kleene,stephen C. Introduction to Metamathematics Amsterdam NorthHolland, 1974. http://www.maa.org/BLL/foundations.htm

Foundations and Mathematical Logic Back to Table of Contents Foundations and Mathematical Logic: Surveys Beth, Evert. The Foundations of Mathematics Amsterdam: North-Holland, 1959. * Eves, Howard W. Foundations and Fundamental Concepts of Mathematics, Boston, MA: PWS-Kent, 1990. Third Edition. ** Mac Lane, Saunders. Mathematics, Form and Function New York, NY: Springer-Verlag, 1986. * Mostowski, Andrzej. Thirty Years of Foundational Studies New York, NY: Barnes and Noble, 1966. * Wilder, Raymond L. Introduction to the Foundations of Mathematics, Melbourne, FL: Robert E. Krieger, 1980. Second Edition. Foundations and Mathematical Logic: Logic * Barwise, Jon and Etchemendy, John. The Liar: An Essay on Truth and Circularity New York, NY: Oxford University Press, 1987. * Boole, George. An Investigation of the Laws of Thought Mineola, NY: Dover, 1951. Copi, Irving Marmer. Symbolic Logic, New York, NY: Macmillan, 1973. Fourth Edition. Jeffrey, Richard C. The Logic of Decision, Chicago, IL: University of Chicago Press, 1983. Second Edition. Quine, Willard Van Orman.

71. Books - Home Equity Stephen C. Kleene Books Home Equity stephen C. kleene. Books stephen C. kleene. Introduction toMetamathematics by SC kleene, stephen Cole kleene August, 1971. page 1 of 1. http://www.home-equity-loans-4u.net/cgi-bin/home-equity-loans-mode-books-search_

72. Logician's Year January. 5 Jan, kleene, stephen Cole, (* 1909). 6 Jan, Cantor, Georg, (+1918). 23 Jan, Hilbert, David, (* 1862). 26 Jan, kleene, stephen Cole, (+1994). http://www.volny.cz/logici/vyroci/english.html

The Logician's Year January February March April ... December January 5 Jan Kleene, Stephen Cole 6 Jan Cantor, Georg 12 Jan Hintikka, Jaakko 14 Jan Carroll, Lewis Tarski, Alfred Gödel, Kurt 19 Jan Ramsey, Frank Plumpton 23 Jan Hilbert, David 26 Jan Kleene, Stephen Cole 27 Jan Carroll, Lewis February 2 Feb Russell, Bertrand Artur William 3 Feb Lewis, Clarence Irving 6 Feb Arnauld, Antoine 8 Feb von Neumann, Johannes 11 Feb Post, Emil Leon 12 Feb Herbrand, Jean Dedekind, Richard 13 Feb £ukasiewicz, Jan 14 Feb Hilbert, David 15 Feb Whitehead, Alfred North 16 Feb Nicod, Jean 17 Feb Fraenkel, Adolf Abraham 22 Feb Ramsey, Frank Plumpton 27 Feb Brouwer, Luitzgen Egbertus Jan March 3 Mar Cantor, Georg 5 Mar Barwise, Jon 6 Mar Davidson, Donald 7 Mar Montague, Richard 18 Mar de Morgan, Augustus Carnap Rudolf 23 Mar Skolem, Thoralf 24 Mar Lorenzen, Paul 25 Mar Ackermann, Wilhelm April 2 Apr Vaught, Robert Lawson 4 Apr Venn, John Vaught, Robert Lawson 12 Apr Lewis, Clarence Irving 19 Apr Peirce, Charles Sanders 20 Apr Peano, Giuseppe 21 Apr Post, Emil Leon 26 Apr Wittgenstein, Ludwig 28 Apr Gödel, Kurt

73. Logikùv Rok Translate this page Leden. 5. 1. kleene, stephen Cole, (* 1909). 6. 1. Cantor, Georg, (+ 1918).12. 23. 1. Hilbert, David, (* 1862). 26. 1. kleene, stephen Cole, (+ 1994).27. http://www.volny.cz/logici/vyroci/

Logikùv rok Leden Únor Bøezen Duben ... Prosinec Leden Kleene, Stephen Cole Cantor, Georg Hintikka, Jaakko Carroll, Lewis Tarski, Alfred Gödel, Kurt Ramsey, Frank Plumpton Hilbert, David Kleene, Stephen Cole Carroll, Lewis Únor Russell, Bertrand Artur William Lewis, Clarence Irving Arnauld, Antoine von Neumann, Johannes Post, Emil Leon Herbrand, Jean Dedekind, Richard £ukasiewicz, Jan Hilbert, David Whitehead, Alfred North Nicod, Jean Fraenkel, Adolf Abraham Ramsey, Frank Plumpton Brouwer, Luitzgen Egbertus Jan Bøezen Cantor, Georg Barwise, Jon Davidson, Donald Montague, Richard de Morgan, Augustus Carnap Rudolf Skolem, Thoralf Lorenzen, Paul Ackermann, Wilhelm Duben Vaught, Robert Lawson Venn, John Vaught, Robert Lawson Lewis, Clarence Irving Peirce, Charles Sanders Peano, Giuseppe Post, Emil Leon Wittgenstein, Ludwig Gödel, Kurt Wittgenstein, Ludwig Kvìten Löwenheim, Leopold Heyting, Arend Wang, Hao Russell, Bertrand Arthur William Wang, Hao Zermelo, Ernst Skolem, Thoralf Èerven Turing, Alan Mathison Church, Alonzo von Wright, Georg Henrik von Wright, Georg Henrik Turing, Alan Mathison

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Buy (Kurt Godel, Solomon Feferman, Stephen C. Kleene, Gregory H. Moore, John W., Jr. Dawson, Robert M. Solovay, Jean Van Heijenoort) (Book) Collected Works: Publications 1938-1974 Cheapest Online Kitchen Gourmet Book Electronics ... Worldstock BUY-CHEAPEST-ONLINE.NET's Price AUTHOR Kurt Godel, Solomon Feferman, Stephen C. Kleene, Gregory H. Moore, John W., Jr. Dawson, Robert M. Solovay, Jean Van Heijenoort CATEGORY Book MANUFACTURER Oxford University Press ISBN TYPE MEDIA Paperback # OF MEDIA Related Products: Buy (Georg Cantor) (Book) Contributions to the Founding of the Theory of Transfinite Numbers Cheapest Online Buy (Michael Beaney, Gottlob Frege) (Book) The Frege Reader (Blackwell Readers) Cheapest Online Buy (Jean Van Heijenoort) (Book) From Frege to Godel: A Source Book in Mathematical Logic, 1879-1931 Cheapest Online Buy (Ernest Nagel, James Roy Newman, Douglas R. Hofstadter) (Book) Godel's Proof Cheapest Online Excellent material that fits lots of class uses A summary of his statement on p. 125 on "Russell's Mathematical Logic" describes the "vicious circle principle: forbids a certain kind of circularity which is made responsible for the paradoxes. The fallacy in these, so it is contended, consists in the circumstance that one defines (or tacitly assumes) totalities, whose existence would entail the existence of certain new elements of the same totality, namely elements definable only in terms of the whole totality." This led to the formulation of a principle which says that "no totality can contain members definable only in terms of this totality, or members involving or presupposing this totality." (The vicious circle principle). (Also a "not applying to itself principle to keep the vicious circle principle from applying to itself p. 126

75. Steve Ramsay's Guide To Regular Expressions Regular expressions trace back to the work of an American mathematician by the nameof stephen kleene (one of the most influential figures in the development http://etext.lib.virginia.edu/helpsheets/regex.html

Using Regular Expressions Stephen Ramsay, Assistant Director Electronic Text Center, University of Virginia What are regular expressions? If you've ever typed " cp *.html ../ " at the UNIX command prompt, or entered " garden? " into a web-based search engine, you've already used a simple regular expression. Regular expressions ("regex's" for short) are sets of symbols and syntactic elements used to match patterns of text. Even these simple examples testify to the power of regular expressions. In the first instance, you've copied all the files which end in ".html" (as opposed to copying them one by one); in the second, you've conducted a search not only for " garden ," but for " garden gardening gardens , and gardeners " all at once. For a tool with full regex support, metacharacters like " " and " " (or "wildcard operators," as they are sometimes called) are only the tip of the iceberg. Using a good regex engine and a well-crafted regular expression, one can easily search through a text file (or a hundred text files) searching for words that have the suffix ".html" (but only if the word begins with a capital letter and occurs at the beginning of the line), replace the .html suffix with a .sgml suffix, and then change all the lower case characters to upper case. With the right tools, this series of regular expressions would do just that: tr/a-z/A-Z/ As you might guess from this example, concision is everything when it comes to crafting regular expressions, and while this syntax won't win any beauty prizes, it follows a logical and fairly standardized format which you can learn to read and write easily with just a little bit of practice.

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77. Stephen_Cole_Kleene : Essential Information, Explanation, Recent Texts, Monograp Mathematical Logic by stephen Cole kleene Formalized Recursive Functionalsand Formalized Realizability (Memoirs; No. stephen Cole kleene. http://essential-facts.com/primary/logic/Stephen_Cole_Kleene.html

Mathematical Logic by Stephen Cole Kleene Formalized Recursive Functionals and Formalized Realizability (Memoirs; No. 1/89) by Stephen Cole Kleene Introduction to Metamathematics by S.C. Kleene The Kleene Symposium: Proceedings of the Symposium Held June 18-24, 1978 at Madison, Wisconsin, U.S.A. by University of WisconsinMadison Kleene Symposium Stephen Cole Kleene Stephen Cole Kleene ( January 5 January 25 ) was an American mathematician whose work at the University of Wisconsin - Madison helped lay the foundations for theoretical computer science . Kleene was best known for founding the branch of mathematical logic known as recursion theory together with Alonzo Church Alan Turing and others; and for inventing regular expressions . By providing methods of determining which problems are solutionable, Kleene's work led to the study of which functions are computable . The Kleene star Kleene's recursion theorem and the Ascending Kleene Chain are named after him. He also contributed to mathematical intuitionism as founded by Luitzen Egbertus Jan Brouwer . Kleene was born in Hartford Connecticut USA . He received his bachelor of arts degree from Amherst College in . From 1930 to , he was a graduate student and research assistant at Princeton University , where he received his doctorate in mathematics in , supervised by Alonzo Church , for a thesis entitled A Theory of Positive Integers in Formal Logic. In 1935, he joined the UW-Madison mathematics department as an instructor. He became an assistant professor in

78. Encyclopedia: Stephen Cole Kleene Updated Mar 15, 2004. Encyclopedia stephen Cole kleene. stephenCole kleene (January 5, 1909 January 25, 1994) was an American http://www.nationmaster.com/encyclopedia/Stephen-Cole-Kleene

Supporter Benefits Signup Login Sources ... Pies Factoid #62 If you thought Antarctica was inhospitable, think again - its land area is only 98% ice . Reassuringly, the other 2% is categorised as 'barren rock'. Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: Mar 15, 2004 Encyclopedia : Stephen Cole Kleene Stephen Cole Kleene January 5 January 25 ) was an American mathematician whose work at the University of Wisconsin - Madison helped lay the foundations for theoretical computer science. Kleene was best known for founding the branch of mathematical logic known as recursion theory together with

79. Encyclopedia: Stephen Kleene PDF kleene’s theorem Theorem(stephen kleene 1956) L = L(M ) for some http://www.nationmaster.com/encyclopedia/Stephen-Kleene

Supporter Benefits Signup Login Sources ... Pies Factoid #8 North Korea spends the most of its GDP on its military. Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: Apr 04, 2003 Encyclopedia : Stephen Kleene Stephen Cole Kleene January 5 January 25 ) was an American mathematician whose work at the University of Wisconsin - Madison helped lay the foundations for theoretical computer science. Kleene was best known for founding the branch of mathematical logic known as recursion theory together with Alonzo Church Kleene star , Kleene's recursion theorem and the Ascending Kleene Chain are named after him. He also contributed to mathematical intuitionism as founded by

80. Stephen W Moore Textbooks Textbooks & Books Price Comparison - Direct Textbook Collected Works Publications 19291936 Paperback - Show all editions Kurt Godel,Solomon Feferman, stephen C. kleene, Gregory H. Moore, John W., Jr. http://www.directtextbook.com/author/stephen-w-moore

Search by ISBN, Title, Author, Keyword, or Advanced Stephen W Moore Textbooks Next Textbooks by Stephen W Moore Griffith's Instructions for Patients Book with CD-ROM Paperback - Show all editions Stephen W. Moore Jo A. Griffith H. Winter Instructions for Patients Griffith ... Ray Kersey , 15 September, 1998 W B Saunders List Price: $69.95 Customer Rating: 5/5 ISBN: 0721673759 The Complete Guide to Symptoms, Illness, and Surgery (Complete Guide to Symptoms, Illness and Surgery, Ed 4) Paperback - Show all editions H. Winter Md. Griffith Kenneth Yoder ... Stephen W. Moore , 10 July, 2000 Perigee List Price: $19.95 Customer Rating: 4/5 ISBN: 0399526099 Instructions for Patients/Instrucciones Para Los Pacientes Paperback - Show all editions H. Winter Griffith Stephen W. Moore Jo A. Griffith ... Ray Kersey , July, 1997 W B Saunders List Price: $75.75 Customer Rating: 5/5 ISBN: 0721669972 Collected Works: Publications 1929-1936 Paperback - Show all editions Kurt Godel Solomon Feferman Stephen C. Kleene ... Jean Van Heijenoort , May, 2001 Oxford University Press List Price: $34.95 ISBN: 0195147200 The Postmodern Bible: The Bible and Culture Collective Paperback - Show all editions George Aichele Fred W. Burnett

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