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Neumann John Von:     more books (100)

Functional Operators, Volume 1 Measures and Integrals. (AM-21) (Annals of Mathem by John von Neumann, 1950 El ordenador y el cerebro by John Von Neumann, 1999-05-31 On Inner Products in Linear, Metric Spaces by John Von; Jordan, P. Neumann, 1935-01-01 Theory of games and economic behavior by John von / Morgenstern, Oskar Neumann, 1963 The Fabulous Future America in 1980 by David, Neumann, John Von, & Meany, George Sarnoff, 1956 Cellular Automatists: Richard Feynman, John Von Neumann, Martin Gardner, John Horton Conway, Stephen Wolfram, Stanislaw Ulam, Edgar F. Codd Scientists in Stochastics: John Von Neumann Calculating Prodigies: Carl Friedrich Gauss, Leonhard Euler, John Von Neumann, William Rowan Hamilton, Srinivasa Ramanujan, Paul Erdos Mathématicien Américain: John Von Neumann, Benoît Mandelbrot, Saunders Mac Lane, Martin Gardner, Donald Knuth, Solomon W. Golomb (French Edition) John von Neumann: Mathematik und Computerforschung - Facetten eines Genies (Lebensgeschichten aus der Wissenschaft) by Norman Macrae, 1994-08-01 Jewish Inventors: Albert Einstein, Richard Feynman, John Von Neumann, Marvin Minsky, Paul Ehrlich, L. L. Zamenhof, Stanislaw Ulam Calculateur Prodige: John Von Neumann, Leonhard Euler, Daniel Tammet, Shakuntala Devi, Giacomo Inaudi, Alexander Aitken, Alexis Lemaire (French Edition) People From Pest: John von Neumann, Eugene Wigner, Edward Teller, Leó Szilárd, Arthur Koestler, Stephen Heller, Theodore von Kármán Distinction En Informatique: Prix Turing, Prix Dijkstra, Médaille John Von Neumann, Prix Gödel, Prix Microsoft, Prix Knuth, Prix Jon Postel (French Edition)

lists with details

61. Konrad Zuse's Versus John Von Neumann's Computer Concepts
    7 Literature. /BURK46/ Burks, AW; Goldstine, HH neumann, john von Preliminary Discussionof the Logical Design of an Electronical Computing Instrument, 1946.  
    http://irb.cs.tu-berlin.de/~zuse/Konrad_Zuse/Neumann_vs_Zuse.html

62. John Von Neumann
    Game Theory Dictionary People john von neumann von neumann, john.Coauthor of Theory of Games and Economic Behavior with Oskar  
    http://www.gametheory.net/Dictionary/JohnvonNeumann.html

63. The John Von Neumann Minerva Center For Verification Of Reactive Systems
    A research group, headed by Prof. Amir Pnueli .  
    http://www.wisdom.weizmann.ac.il/~verify/

64. Von Neumann, John
    von neumann, john. von neumann, john (19031957), world-famous mathematicianwho was professor of mathematical physics in the University  
    http://etc.princeton.edu/CampusWWW/Companion/von_neumann_john.html
    
    Extractions: von Neumann, John (1903-1957), world-famous mathematician who was professor of mathematical physics in the University and later a professor at the Institute for Advanced Study, was born on December 28, 1903, the son of a well-to-do banker in Budapest, Hungary. From the age of thirteen he showed a pronounced interest in mathematics, which was fostered by his teachers at the Lutheran High School of Budapest where Princeton's Nobel laureate physicist Eugene Wigner was also a student. After graduation from high school, von Neumann studied chemistry for two years in Berlin and for two years in Zurich but spent much of his time with mathematicians, taking a Ph.D. in mathematics at the University of Budapest not long after receiving his chemistry diploma at Zurich. Thereafter, he concentrated on mathematics and theoretical physics in further study at G”ttingen and Hamburg and after 1927 as a privatdozent in Berlin. In 1929 von Neumann accepted an invitation to come to Princeton as a visiting professor for one term. Given a continuing half-time appointment the following year, he spent one term each year in Princeton and one in Germany until 1933 when, at the age of 30, he accepted appointment as the youngest and one of the first professors in the newly founded Institute for Advanced Study. In 1937 he became a United States citizen. Von Neumann's brilliant work in mathematics also carried him into theoretical economics and technology as well as theoretical physics areas where he was able to make vital contributions not only to science but also to the welfare of his adopted country. His work in quantum mechanics gave him a profound knowledge concerning the application of nuclear energy to military and peacetime uses, enabling him to occupy an important place in the scientific councils of the nation. During the Second World War, he played a major role among the Los Alamos group of scientists who developed the atomic bomb. After the war he served on the advisory committee of the Atomic Energy Commission and on the commission itself from 1954 until his death.

65. Beats Biblionetz - Personen: John Von Neumann
    Translate this page john von neumann. Zum Seitenanfang Bücher von john von neumann. The Computerand the Brain (1958) Bei amazon.de als Paperback-Ausgabe anschauen.  
    http://beat.doebe.li/bibliothek/p00048.html
    
    Extractions: Bei amazon.de als Paperback-Ausgabe anschauen Theory of Self-Reproducing Automata Wider den Methodenzwang (1975) (Paul Feyerabend) Die Macht der Computer und die Ohnmacht der Vernunft Geist und Natur ... Chaos Kognitionswissenschaft, Kognitionstechnik Computerdenken ... Symbole - Die kognitivistische Hypothese (Eleanor Rosch, Evan Thompson, Francisco J. Varela

66. Johann (John) Von Neumann Writes The "First Draft"
    In June 1944, the Hungarian American mathematician Johann (john) von neumannfirst became aware of ENIAC. john von neumann Copyright (c) 1997.  
    http://www.maxmon.com/1944ad.htm
    
    Extractions: Von Neumann writes the "First Draft" In June 1944, the Hungarian- American mathematician Johann (John) Von Neumann first became aware of ENIAC Von Neumann, who was a consultant on the Manhattan Project , immediately recognized the role that could be played by a computer like ENIAC in solving the vast arrays of complex equations involved in designing atomic weapons. a A brilliant mathematician, Von Neumann crossed mathematics with subjects such as philosophy in ways that had never previously been conceived; for example, he was a pioneer of Game Theory , which continues to find numerous and diverse applications to this day. Von Neumann was tremendously excited by ENIAC and quickly became a consultant to both the ENIAC and EDVAC projects. In June 1945, he published a paper entitled "First Draft of a report to the EDVAC," in which he presented all of the basic elements of a stored-program computer: A memory containing both data and instructions. Also to allow both data and instruction memory locations to be read from, and written to, in any desired order. A calculating unit capable of performing both arithmetic and logical operations on the data.

67. Biografías- John Von Neumann
    Translate this page john von neumann, 1903-1957. Biografía john von neumann sugirió en1945 una alternativa hacia una arquitectura más versátil. Nacido  
    http://members.fortunecity.com/jon_alava/biografias/neuman.htm
    
    Extractions: El primer ordenador que adoptó esta nueva arquitectura fue el Electronic Discrete Variable Computer [Ordenador Electrónico de Variable Discreta] (EDVAD). Más tarde se le unió el JOHNNIAC (de la RAND Corporation) y el MANIAC [Maniaco], el Mathematical Analyzer, Numerical Integrator and Calculator [Calculador, Integrador Numérico y Analizador Matemático. ( Fuente: Aircenter.net

68. Dr. John Von Neumann
    Dr. john von neumann. john von neumann played a key role in the developmentof the US ballistic missile program. 7 Macrae, john von neumann, p. 358.  
    http://www.spacecom.af.mil/hqafspc/history/von_neumann.htm
    
    Extractions: Based on recommendations by the von Neumann committees and persuasion by Trevor Gardner (the Air Force Assistant Secretary for Research and Development), the United States pressed forward with its missile program at a faster rate and successfully launched an Atlas missile in December 1958. John von Neumann was born December 28, 1903 in Budapest, Hungary. He possessed a near-photographic memory, knew several languages, and by the age of six, entertained family guests by memorizing phone books. By the time he finished Gymnasium (the equivalent of high school), John von Neumann had become well known in the field of mathematics. He started college in 1921 at the University of Budapest and simultaneously attended classes at the University of Berlin. After attending classes for two years, he transferred to the Swiss Federal Institute of Technology and received his chemical engineering degree in 1925. The following year he received a doctorate in mathematics from the University of Budapest. He subsequently taught as an assistant professor at the University of Berlin until 1930. At that time, Princeton University invited him to travel to the United States and lecture on mathematical physics. While at Princeton, the founders of the newly created Institute for Advanced Study asked him to accept a chair in mathematics. Dr. von Neumann became one of the original members of the prestigious institute, where he remained for the rest of his life. His primary area of interest, however, centered on game theorythe study of the conflict between two opponents seeking to arrive at two different goals, each wishing to beat the other.

69. Dr. John Von Neumann At The Dedication Of The NORD
    ENIAC US Army Dr. john von neumann at the dedication of the NORD. Dr.john von neumann speaking on the occasion of the first public  
    http://ftp.arl.mil/~mike/comphist/54nord/
    
    Extractions: ENIAC U. S. Army Dr. John von Neumann speaking on the occasion of the first public showing of the IBM Naval Ordnance Research Calculator (NORD) December 2, 1954. The complete speech appears in von Neumann's collected works, vol. V, MacMillan 1961. I digitized it from a cassette tape provided by Dr. Goldstine. I made a DAT copy of the cassette at 48,000 kHz stereo 16-bit linear encoding, Which I then loaded into an SGI workstation and used SOUNDFILER to crunch it down to 8 kHz mono in 8-bit mu-law encoding. Part 1 Mr. President, Mr Chairman, President ?Church, Mr. and Mrs. Watson, ? Julia, ladies and gentlemen, let me thank you first of all for a very kind introduction. I don't know how to comment on it. I first of all hope that I'm, and I know for sure that I'm expressing the same sentiment which everybody who has been involved in this thinking about computing machines, using computing machines, expecting to use computing machines, probably feels at this moment, namely, a sense of an obligation to express our admiration and our felicitation both to the U. S. Navy and to the IBM Corporation for having asked for the NORD, for having produced it, for having in common deliberations and decisions had to set standards as remarkably high as they were set ... and for having brought off this really remarkable achievement. I will say a few things about the importance of NORD, about what we hope it will do, and what it's significance in this development is. To talk about the significance of this development one first has to visualize what it's position in this development is.

70. Von Neumann
    Origin john von neumann. Born 28 Dec 1903 in Budapest, HungaryDied 8 Feb 1957 in Washington DC, USA. Show birthplace location  
    http://physics.hallym.ac.kr/reference/physicist/Von_Neumann.html
    
    Extractions: Died: 8 Feb 1957 in Washington D.C., USA Show birthplace location Previous (Chronologically) Next Biographies Index Previous ( Alphabetically) Next Welcome page Von Neumann built a solid framework for quantum mechanics. He also worked in game theory, was able to investigate spaces with continuously varying dimensions, and was one of the pioneers of computer science. von Neumann lectured at Berlin from 1926 to 1929 and at Hamburg from 1929 to 1930. In 1930 von Neumann became a visiting lecturer at Princeton University, being appointed professor there in 1931. He became one of the original six mathematics professors in 1933 at the newly founded Institute for Advanced Study in Princeton, a position he kept for the remainder of his life. Mathematische Grundlagen der Quantenmechanik (1932) built a solid framework for the new quantum mechanics. During this time he also worked in game theory and proved the minimax theorem. He gradually expanded his work in game theory, and with co-author Oskar Morgenstern he wrote Theory of Games and Economic Behaviour The second half of the 1930's saw von Neumann working with F J Murray on 'rings of operators' that are now called von Neumann algebras. He was able to investigate spaces with continuously varying dimensions.

71. VEDA
    23.10. MATEMATIKOVÉ V HISTORII john von neumann Jirí Svršek narozen28. john von neumann se narodil jako János von neumann.  
    http://pes.eunet.cz/veda/clanky/15990_48_0_0.html
    
    Extractions: Archiv vydání Nadpis Autor Text èlánku zamìstnanci Pbz Praha, 7.10.2001: Zamìstnanci botanické zahrady v Praze-Tróji dùraznì protestují proti neobjektivnímu pøístupu nìkterých zastupitelù Magistrátu hlavního mìsta Prahy a jejich snaze o urychlené odvolání øeditele botanické zahrady Mgr. Jiøího Haagera. Zamìstnanci Pražské botanické zahrady , jako organizace spravované Magistrátem HMP se cítí tímto jednáním napadeni a vyzývají všechny zastupitele , aby zvážili veškeré skuteèn osti související se stavbou skleníku a vyhnuli se ukvapeným rozhodnutím na základì neúplných èi zámìrnì zkreslených informací . Považují za nutné upozornit na zaujatost nìkolika zastupitelù Magistrátu HMP a na skuteènost, že dosud známé posudky, jimiž je a rgumentováno proti PBZ , byly vypracovány autory, kteøí jsou v kauze skleník pøímo èi nepøímo zainteresováni. Aèkoliv odbor auditu a kontroly Magistrátu hl. mìsta Prahy

72. VEDA
    HLAVNÍ STRÁNKA, 23.10. MATEMATIKOVÉ V HISTORII john von neumann JiríSvršek narozen 28. john von neumann se narodil jako János von neumann.  
    http://pes.eunet.cz/veda/clanky/15990_0_0_0.html
    
    Extractions: Archiv vydání Nadpis Autor Text èlánku zamìstnanci Pbz Praha, 7.10.2001: Zamìstnanci botanické zahrady v Praze-Tróji dùraznì protestují proti neobjektivnímu pøístupu nìkterých zastupitelù Magistrátu hlavního mìsta Prahy a jejich snaze o urychlené odvolání øeditele botanické zahrady Mgr. Jiøího Haagera. Zamìstnanci Pražské botanické zahrady , jako organizace spravované Magistrátem HMP se cítí tímto jednáním napadeni a vyzývají všechny zastupitele , aby zvážili veškeré skuteèn osti související se stavbou skleníku a vyhnuli se ukvapeným rozhodnutím na základì neúplných èi zámìrnì zkreslených informací . Považují za nutné upozornit na zaujatost nìkolika zastupitelù Magistrátu HMP a na skuteènost, že dosud známé posudky, jimiž je a rgumentováno proti PBZ , byly vypracovány autory, kteøí jsou v kauze skleník pøímo èi nepøímo zainteresováni. Aèkoliv odbor auditu a kontroly Magistrátu hl. mìsta Prahy

73. FUSION Anomaly. John Von Neumann
    Telex External Link Internal Link Inventory Cache. john von neumann ThisnOde last updated October 29th, 2001 and is permanently morphing  
    http://fusionanomaly.net/johnvonneumann.html
    
    Extractions: John von Neumann spoke five languages and knew dirty limericks in all of them. His colleagues, famous thinkers in their own right, all agreed that the operations of Johnny's mind were too deep and far too fast to be entirely human. He was one of history's most brilliant physicists, logicians, and mathematicians, as well as the software genius who invented the first electronic digital computer. John von Neumann was the center of the group who created the "stored program" concept that made truly powerful computers possible, and he specified a template that is still used to design almost all computersthe "von Neumann architecture." When he died, the Secretaries of Defense , the Army, Air Force, and Navy and the Joint Chiefs of staff were all gathered around his bed, attentive to his last gasps of technical and policy advice. -_Tools For Thought_ by Howard Rheingold

74. JOHN VON NEUMANN:
    Translate this page john von neumann L'APPRENDISTA STREGONE Piergiorgio Odifreddi Giugno1995 Fatti e misfatti Norman Macra e, john von neumann, 1992.  
    http://www.vialattea.net/odifreddi/bio/neumann.htm
    
    Extractions: JOHN VON NEUMANN L'APPRENDISTA STREGONE Piergiorgio Odifreddi Giugno 1995 Fatti e misfatti Logica L'assiomatizzazione delle matematiche, sul modello degli Elementi assioma di fondazione , e la nozione di classe primo teorema , senza menzioni al nome di von Neumann). Meccanica quantistica assiomatizzazione delle teorie fisiche spazio di Hilbert I fondamenti matematici della meccanica quantistica delta di Dirac ), aspramente criticata da von Neumann. sostanzialmente diversa da quella della fisica classica. logica sostanzialmente diversa da quella della fisica classica, Economia Fino agli anni '30 l'economia sembrava aver usato molta matematica, ma a sproposito: per dare formulazioni e soluzioni inutilmente precise a problemi che invece erano intrinsecamente vaghi. Essa si trovava nello stato della fisica del XVII secolo, in attesa del linguaggio appropriato per poter esprimere e risolvere i suoi problemi: mentre la fisica lo aveva trovato nel calcolo infinitesimale, von Neumann propose per l'economia la teoria dei giochi e la teoria dell'equilibrio generale Il suo primo contributo fu il teorema minimax minimax

75. VonNeumann_Note
    gallery index. john von neumann. He was born in Hungary, studied inGermany, and after 1930, mainly worked in the United States. In  
    http://www.bun.kyoto-u.ac.jp/phisci/Gallery/vonNeumann_note.html
    
    Extractions: John von Neumann He was born in Hungary, studied in Germany, and after 1930, mainly worked in the United States. In every branch of science he stepped in, he left outstanding results: mathematics, mathematical logic, quantum mechanics, design of computer, the theory of automata, and the theory of games. He was also deeply involved in US military policy as an advisor. The swiftness of his mind (or the CPU of his brain) is legendary. Whether true or not, it is said that his calculation was faster than any computer of his day. During and after the war, he was involved both in the development of nuclear weapons and of computers. He annoyed Oppenheimer (then the Director of Institute for Advanced Study, Princeton) by bringing in the project of manufacturing IAS computer, against the policy of the Institute. He was also known as a reckless driver. Despite some (moral, say) misgivings, his contributions to science and technology are immense; and it seems quite silly ("legitimate" in some sense, though) to denouce this type of scientist on moral, social, or political (or whatever) grounds; everything considered, the balance is undeniably on the positive (good) side. BACK TO VON NEUMANN PICTURE BACK TO GALLERY INDEX Last modified April 2, 1999. (c) Soshichi Uchii

76. Sito Web Italiano Per La Filosofia-JOHN VON NEUMANN
    Translate this page john von neumann. Il Sole 24 Ore-23 MARZO 2002 La vita? Nata due voltedi UMBERTO BOTTAZZINI. L'Alto-Adige-12 MARZO 2002 L'UOMO CHE  
    http://lgxserver.uniba.it/lei/rassegna/neumann.htm
    
    Extractions: INDICE DEI NOMI JOHN VON NEUMANN Il Sole 24 Ore 23 MARZO 2002 La vita? Nata due volte L'Alto-Adige 12 MARZO 2002 L'UOMO CHE DISSE IL TEMPO NON C'E' La Stampa 9 MARZO 2002 Nei dilemmi logici di Gödel c´è la paranoia del genio La Repubblica 13 FEBBRAIO 2002 GÖDEL Il tormentato genio matematico che passeggiava con Einstein Qualcuno aveva addirittura ipotizzato che fosse un alieno per quella incredibile penetrazione della sua mente Conquistò la fama a soli venticinque anni pubblicando il suo teorema di FRANCO PRATTICO Il Sole 24 Ore 28 NOVEMBRE 2001 Il teorema della fragilità Il Sole 24 Ore 7 OTTOBRE 2001 L'infanzia del calcolatore L'Unita' 29 SETTEMBRE 2001 La corsa solitaria del «piccolo» genio che cambiò la fisica La capacità di sapere organizzare il lavoro scientifico e il tema della responsabilità politica degli uomini di scienza

77. Von Neumann John
    Translate this page von neumann john. np. m. PERS (28/12/1903 - 08/02/1957). Prononcer« Noy-man », il y tenait. Né à Budapest, il est l'un des  
    http://www.linux-france.org/prj/jargonf/V/Von_Neumann_John.html
    
    Extractions: Von Neumann John np. m. PERS Turing Alan Mathison et Wiener Norbert . Il rêvait de mettre au point un cerveau artificiel, c'est pourquoi il s'est intéressé aux calculateur s et a décrit la structure générale des ordinateur s, qui n'a pas changé depuis et est utilisé dans tous les ordinateurs (sauf dans de rares cas de parallélisme ). Voir EDVAC Articles liés à celui-ci : EDVAC IAS ordinateur Turing Alan Mathison ... Wiener Norbert Articles voisins : volatilité volée volume volume label ... Courrier

78. John Von Neumann: 1903 - 1957
    john von neumann 1903 1957. john von In the late 1940's, john vonneumann began to develop a theory of automata. He envisaged  
    http://www.brunel.ac.uk/depts/AI/alife/al-vonne.htm
    
    Extractions: John von Neumann: 1903 - 1957 John von Neumann was born on December 3, 1903 in Budapest, Hungary, and educated at Zurich and at the universities of Berlin and Budapest. He died in Washington D.C., 1957. He was a maths prodigy in Budapest; as a child, he could divide two eight-digit numbers in his head, he entertained family guests by memorizing columns from phone books, then reciting names, addresses and phone numbers perfectly. Earning a doctorate at twenty-two, at twenty-three he became the youngest person to lecture at the University of Berlin. In 1930 he went to the United States to join the faculty of Princeton University and at the age of thirty, along with Albert Einstein, he was appointed one of the first professors of the Institute for Advanced Study, in Princeton, New Jersey. His contribution to the development of the electronic digital computer was so important, that almost all such machines are now referred to as von Neumann processors. Through the 1930's and early 1940's, Von Neumann worked on game theory , hoping it would form the basis for a future exact science of economics. In 1937 he was accepted as a U.S. citizen and during World War II he served as a consultant on the

79. John Von Neumann
    john Louis von neumann. john von neumann dilahirkan di Budapest, Hongaria,28 Desember 1903. Meninggal 8 Februari 1957 di Washington DC, USA.  
    http://ensiklomedia.insan.co.id/v/vonneumann.htm
    
    Extractions: FastCounter by LinkExchange John von Neumann dilahirkan di Budapest, Hongaria, 28 Desember 1903. Meninggal 8 Februari 1957 di Washington DC, USA. Von Neumann seorang ahli matematik dan komputer. Salah satu karyanya adalah arsitektur komputer yang disebut "von Neumann machine", dimana program disimpan di memori. Arsitektur komputer inilah yang digunakan oleh komputer modern sampai sekarang. Von Neumann sangat cerdas dengan matematik dan angka-angka. Pada usia enam tahun dia sudah dapat menghitung pembagian angka dengan delapan digit tanpa menggunakan kertas atau alat bantu lainnya, di luar kepala. Pendidikannya dimulai di University of Budapest di tahun 1921 di jurusan Kimia. Tapi kemudian dia kembali kepada kesukaannya, matematik, dan menyelesaikan doktoralnya di bidang matematik di tahun 1928. Di tahun 1930 dia mendapat kesempatan pergi ke Princeton University (USA). Pada tahun 1933, Institute of Advanced Studies dibentuk dan dia menjadi salah satu dari enam profesor matematik di sana. Von Neumann kemudian menjadi warga negara Amerika. Hubungan Von Neumann dengan komputer dimulai dengan Harvard Mark I (ASCC) calculator yang dikembangkan oleh Howard Aiken. Kemudian setelah itu dia menggunakan ENIAC. Penggunaan komputer pada masa itu lebih difokuskan kepada masalah pertahanan negara, bom nuklir, Manhattan Project, di Los Alamos. Di sana kontribusi von Neumann sangat berarti.

80. Von Neumann, John
    von neumann, john ?.  
    http://episte.math.ntu.edu.tw/people/p_von_neumann/
    
    Extractions: Von Neumann ¬OµS¤Ó¤H¡C­ì©m Neumann¡A¦]¬°¤÷¿Ë¶R¤UÀï¦ì¡A¤~¥[¤W¶Q±Ú±MºÙªº¡uvon¡v¡C ¥L¦Û¥®¿o²§¡A°O¾Ð¤O¹L¤H¡A¹ï¼Æ¾Ç¦³Åå¤Hªº¤Ñ¥÷¡A¦ý¤÷¿Ë§Æ±æ¥L±q°Ó¡A´X¸g§é½Ä¡A ¥L¦P®É¦b¥¬¹F¨Ø´µ¤j¾Ç¾Ç¼Æ¾Ç¡A¤S¦b¬fªL¤j¾Ç¾Ç¤Æ¾Ç¡]«áÂà¨ìĬ¾¤¤h¾Ç¤Æ¤u¡^¡C¦ý§Y¨Ï¦bĬ¾¤¤h¡A¥L¤´»Pª¾¦W¼Æ¾Ç®a Weyl »P Polya ¥æ¹C¡CPolya ´¿¸g³o¼Ë´y­z Von Neumann ºî½× Von Neumann ªº¼Æ¾Ç¦¨´N¡A¤j­P¦p¤U¡G ¥t¥~ Von Neumann ¤]¬O²B¼uªº¶Ê¥ÍªÌ¡A1940¦~°_¥L§Y¼ö¤ß°Ñ»P¬ü°êªº¦U¶µ°ê¨¾­p¹º©Î¹êÅç«Ç¡A¤]¦]¦¹Àò±o¦U¦¡¦U¼Ëªº¼Æ¾Ç©Î«D¼Æ¾Çªº¼ú³¹¡C ¥»¤å°Ñ¦Ò¸ê®Æ¡G(1) ¤j­^¦Ê¬ì¥þ®Ñ¡C (2) MacTutor ¼Æ¾Ç¥vÀɮ׺ô¯¸¡G von Neumann ¡C

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