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Chapters: Claude Shannon, Gregory Chaitin, Andrey Kolmogorov, David A. Huffman, Richard Hamming, Harry Nyquist, Elwyn Berlekamp, Ray Solomonoff, I. J. Good, Edward Kofler, Henry Landau, R. C. Bose, Claude Berrou, Robert G. Gallager, Rolf Landauer, Ralph Hartley, Chris Wallace, David J. C. Mackay, Kenneth Harwood, Jacob Ziv, Solomon W. Golomb, Leonid Levin, David Wheeler, Ari Trachtenberg, Rudolf Ahlswede, Norman Abramson, Abraham Lempel, Irving S. Reed, Michael Luby, Doug Cutting, Robert Fano, James Massey, Dave Forney, Robert M. Gray, Mark Burgess, David Slepian, John Wozencraft, Abdul Jerri, Michele Mosca, Marcel J. E. Golay, Sergio Verdú, Imre Csiszár, Henry O. Pollak, Gustave Solomon, Anatoli Georgievich Vitushkin, Hideki Imai, Vladimir Levenshtein, Jim K. Omura, Punya Thitimajshima, Jorma Rissanen, Gottfried Ungerboeck, Joachim Hagenauer, Tom Stonier, Robert Mceliece, Peter Elias, Terry Welch, Alain Glavieux. Source: Wikipedia. Pages: 195. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: ShannonFano codingShannonHartley lawNyquistShannon sampling theoremNoisy channel coding theoremShannon switching gameShannon numberShannon indexShannon's source coding theoremShannon's expansionShannon-Weaver model of communication WhittakerShannon interpolation formulaClaude Elwood Shannon (April 30, 1916 February 24, 2001), an American mathematician and electronic engineer, is known as "the father of information theory". Shannon is famous for having founded information theory with one landmark paper published in 1948. But he is also credited with founding both digital computer and digital circuit design theory in 1937, when, as a 21-year-old master's student at MIT, he wrote a thesis demonstrating that electrical application of Boolean algebra could construct and resolve any logical, numerical relation...More: http://booksllc.net/?id=5693 ... Read more

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Chapters: Andrey Kolmogorov, Vladimir Arnold, Vladimir Steklov, Mikhail Lavrentyev, Grigori Perelman, Israel Gelfand, Nikolay Bogolyubov, Solomon Mikhlin, Boris Galerkin, Igor Shafarevich, Alexander Kronrod, Olga Arsenievna Oleinik, Myhailo Yadrenko, Ivan Petrovsky, Nikolai Luzin, Mark Krasnosel'skii, Mstislav Keldysh, Aleksandr Danilovich Aleksandrov, Grigory Margulis, Isaak Yaglom, Sergey Yablonsky, Yuri Matiyasevich, Vasilii Sergeevich Vladimirov, Alexander Razborov, Fedor Bogomolov, Vladimir Drinfel'd, Otto Schmidt, Leonid Kantorovich, Alexander Friedmann, Ivan Matveyevich Vinogradov, Sergei Sobolev, Sergei Novikov, Oleg Lupanov, Vadim G. Vizing, Boris Delaunay, Andrey Nikolayevich Tychonoff, Eugen Slutsky, Victor Glushkov, Jacob Tamarkin, Lev Pontryagin, Yakov G. Sinai, Pavel Alexandrov, Adolf Yushkevich, Leonid Levin, Vadym Adamyan, Alexander Gelfond, Anatoly Maltsev, Oleg Viro, Aizik Isaakovich Vol'pert, Sergei K. Godunov, Yuri I. Manin, D. D. Morduhai-Boltovskoi, Sergei Natanovich Bernstein, Oleg Tozoni, Nikolay Mitrofanovich Krylov, Sofya Yanovskaya, Estate V. Khmaladze, Nikolai Kochin, Aleksandr Khinchin, Vladimir Platonov, Efim Zelmanov, Mikhail Kravchuk, Yuri Dmitrievich Burago, Mark Krein, Abram Ilyich Fet, Albert Shiryaev, Victor Zalgaller, Yury Osipov, Lev Schnirelmann, Nikolai Nikolaevich Yanenko, Vladimir Vapnik, Veniamin Kagan, David Kazhdan, Shoshana Kamin, Felix Berezin, Boris Mordukhovich, Aleksei Pogorelov, Herman Müntz, Olga Aleksandrovna Ladyzhenskaya, Vasily Sergeevich Nemchinov, Nikoloz Muskhelishvili, Viktor Sadovnichiy, Nikolay Konstantinov, Vitali Milman, Eugene Dynkin, Pelageya Polubarinova-Kochina, Alexey Lyapunov, Yuri Linnik, Naum Vilenkin, Isaak Russman, Yuri Vasilevich Prokhorov, Alexandre Kirillov, Boris Trakhtenbrot, Vladimir Rokhlin, Lazar Lyusternik, Sergey Borisovich Stechkin, Ludvig Faddeev, Naum Akhiezer, Israel Gohberg, Nikolay Nekhoroshev, Anatoli Georgievich Vitushkin, Victor Kac...More: http://booksllc.net/?id=2582609 ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Claude Shannon, Aleksandr Lyapunov, Andrey Kolmogorov, Kevin Warwick, Norbert Wiener, List of People in Systems and Control, Harry Nyquist, Harold Stephen Black, Hendrik Wade Bode, Nikolay Bogolyubov, James S. Albus, Arthur Pollen, Yu-Chi Ho, John Tukey, Lotfi Asker Zadeh, Jakob Stoustrup, Jan H. Van Schuppen, Edward Routh, William Ross Ashby, Paul Tseng, Dimitri Bertsekas, Magnus B. Egerstedt, Václav E. Beneš, Richard E. Bellman, George Zames, Rudolf E. Kalman, Rutherford Aris, Harold Chestnut, Thomas Kailath, Ronald C. Arkin, Henrik I. Christensen, Eduardo D. Sontag, Ernst Guillemin, Masayoshi Tomizuka, Jeff S. Shamma, Lev Pontryagin, Damiano Brigo, Charles Stark Draper, Petar V. Kokotovic, Bernard Hanzon, Diederich Hinrichsen, Nikolay Mitrofanovich Krylov, Vasile M. Popov, Claire J. Tomlin, Roger W. Brockett, John J. Leonard, Abraham H. Haddad, Jaydev P. Desai, Vijay Kumar, Bernt Øksendal, John Milsum, Richard D. Braatz, Homayoun Seraji, Mark W. Spong, A.v. Balakrishnan, Walter R. Evans, Rufus Isaacs, Reza Olfati-Saber, Michael Athans, Ali Jadbabaie, John Zaborszky, Shankar S. Sastry, Antonio Ruberti, Harold J. Kushner, Rangasami L. Kashyap, Miroslav Krstić, Eliahu I. Jury, John R. Ragazzini, Arthur E. Bryson, George A. Bekey, Tamer Basar, John C. Lozier, W. Harmon Ray, Kumpati S. Narendra, Steven M. Lavalle, John V. Breakwell, William L. Brogan, Sanjoy K. Mitter, Seth A. Hutchinson, Elmer G. Gilbert, John G. Truxal, Irving Lefkowitz, Gene F. Franklin, Alberto Isidori, P.s.krishnaprasad, Nathaniel B. Nichols, Mathukumalli Vidyasagar, J. Karl Hedrick, Isaac Horowitz, Vladimir Andreevich Yakubovich, Steve Ciarcia, George Leitmann, Daniela L. Rus. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Hendrik Wade Bode (pronounced Boh-dee in English, Boh-dah in Dutch)...More: http://booksllc.net/?id=3995236 ... Read more

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Chapters: Andrey Kolmogorov, Mikhail Lomonosov, Vladimir Arnold, Pavel Samuilovich Urysohn, Lev Landau, Igor Tamm, Alexander Prokhorov, Mikhail Suslov, Nikolay Bogolyubov, Marina Karaseva, Alexander Luria, Konstantin Pobedonostsev, Olga Arsenievna Oleinik, Ivan Petrovsky, Igor Kurchatov, Anatoly Fomenko, Nikolai Luzin, Alexander Zelitchenko, Yakov Borisovich Zel'dovich, Vladimir Krivchenkov, Pyotr Kapitsa, Alexei Alexeyevich Abrikosov, Revaz Dogonadze, Edward George, Baron George, Otto Schmidt, Gennadi Sardanashvily, Sergei Sobolev, Lev Gudkov, Sergei Novikov, Aleksei N. Leontiev, Oleg Lupanov, Yuri Levada, Aleksandr Stoletov, Sergei P. Kurdyumov, Valeri Legasov, Anatoly Vlasov, Boris Hessen, Oleg Ivanovich Mamayev, Iosif Shklovsky, Yurii Shirokov, Dmitry Shirkov, Nikolay Burdenko, Igor Ternov, Yakov G. Sinai, Arsenij Sokolov, Alexei Yuryevich Smirnov, Pavel Alexandrov, Johann Fischer Von Waldheim, Aleksandr Chudakov, John Naisbitt, Alexander Piatigorsky, Alexander Gelfond, Maria Smith-Falkner, D. D. Morduhai-Boltovskoi, Sergey Ivanovich Vavilov, Nikolay Zelinsky, Khariton Chebotaryov, Valentin Yanin, Vyacheslav Vsevolodovich Ivanov, Aleksandr Khinchin, Dmitri Egorov, Nikolay Bogolepov, Albert Shiryaev, Lev Schnirelmann, Tikhon Rabotnov, Dmitri Ivanenko, Sergei Nikolaevich Trubetskoy, Veniamin Kagan, Viktor Buchstaber, Nikolai Brashman, Sergey Alexandrovich Markov, Gleb Vladimirovich Nosovsky, Yuri Osipyan, Viktor Sadovnichiy, Pyotr Lebedev, Nikolay Beketov, Boleslav Mlodzeevskii, Boris Grakov, Lazar Lyusternik, Haljand Udam, Mikhail Ovsyannikov, Nikolay Nekhoroshev, Semyon Desnitsky, Irina Antonova, Sergei Fomin, Mikhail Volkenshtein, Moisey Markov, Nikolai Sergeevich Bakhvalov, Alexander Spirin, Bluma Zeigarnik, Konstantin Malkov, Nikolai Ishutin, Aleksandr Nazarenko, Sergei Adian, Nikolai Efimov, Valentin Rumyantsev, Abraham Plessner, Vladimir Serbsky, Peter Cheremushkin, Nikolai Velyaminov, Vladislav Shevchenko, Yuri Ovc...More: http://booksllc.net/?id=399581 ... Read more

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Chapters: Andrey Kolmogorov, Pafnuty Chebyshev, Ladislaus Bortkiewicz, Yuri Linnik, Oskar Anderson. Source: Wikipedia. Pages: 27. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Andrey Nikolaevich Kolmogorov (Russian: ) (25 April 1903 20 October 1987) was a Soviet Russian mathematician, preeminent in the 20th century, who advanced various scientific fields (among them probability theory, topology, intuitionistic logic, turbulence, classical mechanics and computational complexity). Kolmogorov was born at Tambov in 1903. His unwed mother died in childbirth and he was raised by his aunts in Tunoshna near Yaroslavl at the estate of his grandfather, a wealthy nobleman. His father, an agronomist by trade, was deported from Saint-Petersburg for participation in the revolutionary movement. He disappeared and was presumed to have been killed in the Russian Civil War. Kolmogorov was educated in his aunt's village school, and his earliest literary efforts and mathematical papers were printed in the school newspaper. As an adolescent he designed perpetual motion machines, concealing their (necessary) defects so cleverly that his secondary-school teachers could not discover them. In 1910, his aunt adopted him and then they moved to Moscow, where he went to a gymnasium, graduating from it in 1920. In 1920, Kolmogorov began to study at the Moscow State University and the Chemistry Technological Institute. Kolmogorov gained a reputation for his wide-ranging erudition. As an undergraduate, he participated in the seminars of the Russian historian S.V. Bachrushin, and he published his first research paper on the landholding practices in the Novgorod Republic in the fifteenth and sixteenth centuries. At the same time (19211922), Kolmogorov derived and proved several results in set theory and in the theory of F...More: http://booksllc.net/?id=91161 ... Read more

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Chapters: Mikhail Gorbachev, Andrei Sakharov, C. A. R. Hoare, Anton Chekhov, Imre Lakatos, Andrey Kolmogorov, Wassily Kandinsky, Vladimir Arnold, Lev Vygotsky, Sergei Bodrov, Jr., Grigory Barenblatt, Pavel Samuilovich Urysohn, Igor Tamm, Maxim Kontsevich, Raisa Gorbachyova, Pafnuty Chebyshev, Ruslan Khasbulatov, Mikhail Lavrentyev, Nikolai Trubetzkoy, Israel Gelfand, Anna Politkovskaya, Yuri Knorozov, Ion Iliescu, Andrey Korotayev, Vladimir Zhirinovsky, Oleg Deripaska, Ivan Turgenev, Alexander Herzen, Yegor Gaidar, Andrei Amalrik, Aleksandr Zinovyev, Dmitri Shepilov, Dmitry Galkovsky, Boris Akunin, Sergei Bulgakov, Lev Shestov, Vasily Grossman, Nitipoom Navaratna, Marina Karaseva, Pavel Florensky, Varlam Shalamov, Yevgeny Primakov, Alexander Kuzemsky, Vladimir N. Beneshevich, Yuri Shchekochikhin, Vladimir Solovyov, Yevgenia Albats, Vitaly Ginzburg, Alexander Vassiliev, Alexander Kronrod, Ivan Ilyin, Ivan Mozzhukhin, Olga Arsenievna Oleinik, Rostislav Grigorchuk, Sergei Yesenin, Natalia Morar, Lyudmila Zhivkova, Nikolai Luzin, Mstislav Keldysh, Maximilian Voloshin, Nino Burjanadze, Vasily Aleksanyan, Koki Ishii, Yekaterina Romanovna Vorontsova-Dashkova, Grigory Margulis, Alexander Oparin, Dmitri Bondarenko, Aleksandr Griboyedov, Mykola Azarov, Sergey Yablonsky, Eduard Shpolsky, Zurab Noghaideli, Dmitry Rogozin, Vladimir Damgov, Vladimir Pavlovich Efroimson, Sergei Kovalev, Olia Lialina, Sergei Stanishev, Antonio Maria Costa, Alexander Razborov, Vladimir Krivchenkov, Mikael Nalbandian, Alexei Alexeyevich Abrikosov, Elena Kostioukovitch, Vadim Zvjaginsev, Alexander Kazhdan, Ivan Kireyevsky, Vladimir Drinfel'd, Valery Bryusov, Pavel K. Oshchepkov, Leonid Pasternak, Kazimieras Garšva, Evgeny Velikhov, Paul Sophus Epstein, Lev Gudkov, Ion Niculiţă, Vladislav Listyev, Tatyana Zaslavskaya, Aleksander Ostrovsky, Ivan Goncharov, Hasan Bey Zardabi, Sergei Novikov, Alexander Esenin-Volpin, Mikhail Chumakov, Ilya Darevsky, Nikolai Bryukha...More: http://booksllc.net/?id=20979 ... Read more

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Chapters: Andrey Markov, Aleksandr Lyapunov, Andrey Kolmogorov, Vladimir Arnold, Grigory Barenblatt, Vladimir Voevodsky, Pavel Samuilovich Urysohn, Yulian Vasilievich Sokhotski, Maxim Kontsevich, Pafnuty Chebyshev, Vladimir Steklov, Sofia Kovalevskaya, Mikhail Lavrentyev, Grigori Perelman, Boris Berezovsky, Nikolay Bogolyubov, Pavel Florensky, Vladimir Korepin, Igor Shafarevich, Alexander Kronrod, Ivan Petrovsky, Anatoly Fomenko, Nikolai Luzin, Mark Krasnosel'skii, Aleksandr Danilovich Aleksandrov, Grigory Margulis, Nikolai Lobachevsky, Sergey Yablonsky, Bruno Abakanowicz, Michel Deza, Yuri Matiyasevich, Alexei Krylov, Alexander Razborov, Mikhail Gromov, Theodor Molien, Alexander Beilinson, Fedor Bogomolov, Misha Verbitsky, Leonid Kantorovich, Alexander Friedmann, Ivan Matveyevich Vinogradov, Paul Sophus Epstein, Sergei Sobolev, Solomon Lefschetz, Sergei Novikov, Alexander Esenin-Volpin, Oleg Lupanov, Ladislaus Bortkiewicz, Vladimir Miklyukov, Aleksandr Korkin, Vadim G. Vizing, Boris Delaunay, Andrey Nikolayevich Tychonoff, Nicolai A. Vasiliev, Eugen Slutsky, Victor Glushkov, Yegor Ivanovich Zolotarev, Jacob Tamarkin, Abram Samoilovitch Besicovitch, Lev Pontryagin, Yakov G. Sinai, Pavel Alexandrov, Mikhail Vasilievich Ostrogradsky, Leonid Levin, Jakow Trachtenberg, Alexander Gelfond, Andrei Okounkov, Anatoly Maltsev, Nikolay Umov, Oleg Viro, Sergei K. Godunov, Yuri I. Manin, Andrei Bolibrukh, D. D. Morduhai-Boltovskoi, Nikolay Mitrofanovich Krylov, Victor Shestakov, Nikolai Bugaev, Nikolai Nikolaevich Krasovsky, Victor Anatolyevich Vassiliev, Nikolai Kochin, Aleksandr Khinchin, Valery Goppa, Yevgraf Fyodorov, Georgy Voronoy, Leonid Khachiyan, Efim Zelmanov, Dmitry Grave, Dmitri Egorov, Yuri Dmitrievich Burago, Tatyana Afanasyeva, Ferdinand Minding, Dima Grigoriev, Abram Ilyich Fet, Albert Shiryaev, Victor Zalgaller, Yury Osipov, Vladimir Gilelevich Maz'ya, Edward Belaga, Igor Pak, Ivan Privalov, Mikhail Shubin, Nikolai Nikol...More: http://booksllc.net/?id=355478 ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Blaise Pascal, Claude Shannon, Abraham de Moivre, Daniel Bernoulli, Andrey Markov, Andrey Kolmogorov, Jacob Bernoulli, Siméon Denis Poisson, Norbert Wiener, Francis Galton, Persi Diaconis, Thomas Bayes, Joseph Louis François Bertrand, Paul Erdős, List of Mathematical Probabilists, Pierre-Simon Laplace, Richard Von Mises, Peter Whittle, Oded Schramm, Myhailo Yadrenko, John Kingman, Jonas Kubilius, Paul Tseng, Dimitri Bertsekas, Joseph Leo Doob, Herman Wold, William Feller, Samuel Karlin, Paul Halmos, S. R. Srinivasa Varadhan, Bruno de Finetti, Donald Burkholder, Peter Gavin Hall, Ole Barndorff-Nielsen, Lajos Takács, Kiyoshi Itō, Frank Kelly, Olav Kallenberg, Paul-André Meyer, David George Kendall, Wendelin Werner, David Williams, Alfréd Rényi, Michel Talagrand, Aryeh Dvoretzky, Octav Onicescu, Mark Kac, Aleksandr Khinchin, Geoffrey Grimmett, Émile Borel, Kai Lai Chung, Jarl Waldemar Lindeberg, Thomas M. Cover, Tatyana Afanasyeva, Paul Pierre Lévy, Albert Shiryaev, Bernt Øksendal, Boris Tsirelson, Wolfgang Doeblin, Dietrich Stoyan, Thomas M. Liggett, Richard M. Dudley, Nicolaus Ii Bernoulli, Frank Spitzer, Lucien le Cam, Chris Rogers, Eugene Dynkin, James R. Norris, Daniel W. Stroock, John Hammersley, Yuri Vasilevich Prokhorov, Imre Csiszár, Franz Thomas Bruss, Dan-Virgil Voiculescu, Chris Heyde, Ruslan L. Stratonovich, Jean-François le Gall, Michel Loève, K. R. Parthasarathy, Mikhail Menshikov, Arthur Herbert Copeland, David Aldous, Janos Galambos, Harry Kesten, Nicolaus I Bernoulli, Anatoliy Skorokhod, Ted Harris, Rollo Davidson, Roland Dobrushin, M. D. Donsker, Lawrence Shepp, Rick Durrett, Greg Lawler, Carlo Emilio Bonferroni, Carl Hindenburg, István Hatvani. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Pierre-Simon, marquis de Laplace (23 March 1749 5 Marc...More: http://booksllc.net/?id=344783 ... Read more

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This digital document is an article from Crítica, published by UNAM, Instituto de Investigaciones Filosoficas on December 1, 2000. The length of the article is 4254 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Kolmogorov, Heyting and Gentzen on the intuitionistic logical constants *.
Author: Gustavo Fernandez Diez
Publication: Crítica (Refereed)
Date: December 1, 2000
Publisher: UNAM, Instituto de Investigaciones Filosoficas
Volume: 32Issue: 96Page: 43(15)

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High Quality Content by WIKIPEDIA articles! In probability theory, the probability space, or probability triple, is a concept which serves as a rigorous mathematical ground for the conventional idea of randomness. It is a mathematical model of a real-world situation (or ?experiment?) where we recognize that certain things occur ?at random?. The model works as following: first, at the outset of the experiment we attempt to envision all possible outcomes which might possibly happen, the set of all such outcomes is called the sample space ?. Second, we recognize that the elementary outcomes could be too little of practical use, and that the more complicated events, consisting possibly of many different elementary outcomes, are of more interest. The collection of all such events is called the ?-algebra scriptstyle mathcal{F}. Third, we have to specify how likely one or another event is going to happen, which is done using the probability measure function P. These three components scriptstyle (Omega,; mathcal{F},; P) together constitute the probability space ? hence the name ?triple?. ... Read more

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Andrey Nikolaevich Kolmogorov (April 25, 1903 ? October 20,1987) was a Soviet Russian mathematician, preeminent in the20th century, who advanced various scientific fields (amongthem probability theory, topology, intuitionistic logic,turbulence, classical mechanics and computationalcomplexity). ... Read more