21. Chebyshev, Pafnuty (1821-1894) -- From Eric Weisstein's World Of Scientific Biog chebyshev, pafnuty (18211894), Russian mathematician who made contributionsto number theory, algebra, probability, analysis, and applied mathematics. http://scienceworld.wolfram.com/biography/Chebyshev.html

Branch of Science Mathematicians Nationality Russian Chebyshev, Pafnuty (1821-1894) Russian mathematician who made contributions to number theory, algebra, probability, analysis, and applied mathematics. He put limits on the asymptotic limit of the totient function which allowed him to prove Bertrand's postulate Additional biographies: MacTutor (St. Andrews)

22. The Mathematics Genealogy Project - Pafnuty Chebyshev Select a mirror. NDSU (main) AMS. Bielefeld. Ole Miss. IMPA. pafnuty Lvovich chebyshev. Biography. Ph.D. University of St. Petersburg 1849. Dissertation Advisor Nikolai Brashman. Student(s) According to our current online database, pafnuty chebyshev has 5 students and 2352 descendants http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=12542

23. GIGA Quote Author Page For Pafnuty Lvovich Chebyshev GIGA's compilation of quotations, excerpts, proverbs, maxims and aphorisms by pafnuty Lvovich chebyshev. BUY BOOK ABOUT. QUOTATIONS. pafnuty LVOVICH chebyshev. Russian mathematician BUY BOOK http://www.giga-usa.com/gigaweb1/quotes2/quautchebyshevpafnutyx001.htm

Home Biographical Index Reading List Links ... Varying Hare Books GIGA QUOTES BY AUTHOR GIGA Quotes Quotes by Topic Authors by Date Top 100 ... Quote Links TOPICS: A B C D ... Z PEOPLE: A B C D ... QUOTATIONS PAFNUTY LVOVICH CHEBYSHEV Russian mathematician BUY BOOK RELATED TO PAFNUTY LVOVICH CHEBYSHEV To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls. - "Calculus Gems" by G.F. Simmons (198) [ Mathematics WWW.GIGA-USA.COM Back to Top of Page SUPPORT GIGA: Honor System Amazon Office Depot Target ... Field's The GIGA name and the GIGA logo are trademarks registered in the U.S. Patent and Trademark Office by John C. Shepard. Last Revised: 2004 March 31

24. Pafnuty Chebyshev: To Mark The 175th Anniversary Of His Birth pafnuty chebyshev To Mark the 175th Anniversary of his Birth. Retrieve PostScript document (97527.ps 9068244 bytes) Retrieve GNU Compressed PostScript document (97527.ps.gz 2851430 bytes) Retrieve http://epubs.siam.org/sam-bin/dbq/article/97527

Volume 41, Number 3, 1997 pp. 519-530 Pafnuty Chebyshev: To Mark the 175th Anniversary of his Birth Abstract. Retrieve PostScript document ( 97527.ps : 9068244 bytes) Retrieve GNU Compressed PostScript document ( ... : 57848 bytes) For additional information contact service@siam.org

25. Chebyshev Work on prime numbers included the determination of the number of primes not exceeding a given number, wrote an important book on the theory of congruences, proved that there was always at least one prime between n and 2n for n 3. http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Chebyshev.html

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia Click the picture above to see five larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Pafnuty Chebyshev 's parents were Agrafena Ivanova Pozniakova and Lev Pavlovich Chebyshev. Pafnuty was born in Okatovo, a small town in western Russia, west of Moscow. At the time of his birth his father had retired from the army, but earlier in his military career Lev Pavlovich had fought as an officer against Napoleon's invading armies. Pafnuty Lvovich was born on the small family estate into a upper class family with an impressive history. Lev Pavlovich and Agrafena Ivanova had nine children some of whom followed in their father's military tradition. Let us say a little about life in Russia at the time Pafnuty Lvovich was growing up. There was a great deal of national pride in the country following the Russian defeat of Napoleon, and their victory led to Russia being viewed by other European countries with a mixture of fear and respect. On the one hand there was those in the country who viewed Russia as superior to other countries and argued that it should isolate itself from them. On the other hand, educated young Russians who had served in the army had seen Europe, learned to read and speak French and German, knew something of European culture, literature, and science, and they argued for a westernisation of the country. Pafnuty Lvovich's early education was at home where both his mother and his cousin Avdotia Kvintillianova Soukhareva were his teachers. From his mother he learnt the basic skills of reading and writing, while his cousin acted as a governess to the young boy and taught him French and arithmetic. Later in life Pafnuty Lvovich would greatly benefit from his fluency in French, for it would make France a natural place to visit, French a natural language in which to communicate mathematics on an international stage, and provide a link with the leading European mathematicians. All was not easy for the young boy, however, for with one leg longer than the other he had a limp which prevented him from taking part in many of the normal childhood activities.

26. Chebyshev Biography of pafnuty chebyshev (18211894) pafnuty chebyshev's parents were Agrafena Ivanova Pozniakova and Lev Pavlovich chebyshev. pafnuty was born in Okatovo, a http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Chebyshev.html

Pafnuty Lvovich Chebyshev Born: 16 May 1821 in Okatovo, Russia Died: 8 Dec 1894 in St Petersburg, Russia Click the picture above to see five larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Pafnuty Chebyshev 's parents were Agrafena Ivanova Pozniakova and Lev Pavlovich Chebyshev. Pafnuty was born in Okatovo, a small town in western Russia, west of Moscow. At the time of his birth his father had retired from the army, but earlier in his military career Lev Pavlovich had fought as an officer against Napoleon's invading armies. Pafnuty Lvovich was born on the small family estate into a upper class family with an impressive history. Lev Pavlovich and Agrafena Ivanova had nine children some of whom followed in their father's military tradition. Let us say a little about life in Russia at the time Pafnuty Lvovich was growing up. There was a great deal of national pride in the country following the Russian defeat of Napoleon, and their victory led to Russia being viewed by other European countries with a mixture of fear and respect. On the one hand there was those in the country who viewed Russia as superior to other countries and argued that it should isolate itself from them. On the other hand, educated young Russians who had served in the army had seen Europe, learned to read and speak French and German, knew something of European culture, literature, and science, and they argued for a westernisation of the country. Pafnuty Lvovich's early education was at home where both his mother and his cousin Avdotia Kvintillianova Soukhareva were his teachers. From his mother he learnt the basic skills of reading and writing, while his cousin acted as a governess to the young boy and taught him French and arithmetic. Later in life Pafnuty Lvovich would greatly benefit from his fluency in French, for it would make France a natural place to visit, French a natural language in which to communicate mathematics on an international stage, and provide a link with the leading European mathematicians. All was not easy for the young boy, however, for with one leg longer than the other he had a limp which prevented him from taking part in many of the normal childhood activities.

27. Pafnuty Lvovich Chebyshev --  Encyclopædia Britannica Subscribe. My Account. All Britannica.com. Encyclopædia Britannica. Britannica Student Encyclopedia. Britannica Concise Encyclopedia. Websites. Video and Media. Dictionary. Thesaurus. Not sure of the http://www.britannica.com/eb/article?eu=23095

28. Photo Credits From Eric Weisstein's World Of Scientific Biography Chasles, Michel (17931880) MacTutor chebyshev, pafnuty (1821-1894) MacTutor Christodoulou,Demetrios (1951-) http//www.ams.org/notices/199904/comm-bocher http://scienceworld.wolfram.com/biography/photo-credits.html

scienceworld@wolfram.com Abbe, Ernst (1840-1905) : MacTutor Abel, Niels Henrik (1802-1829) : MacTutor Adams, John Couch (1819-1892) : MacTutor Airy, George (1801-1892) : MacTutor Al-Khwarizmi, Muhammed ibn Musa (ca. 780-ca. 850) : MacTutor Albertus Magnus (1193-1280) : MacTutor : Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1510 Great Scientists from Ancient Times to the Present, Chronologically Arranged, rev. ed. New York: NY: Avon, 1976. Appell, Paul Emile (1855-1930) : Special functions poster Appleton, Edward V. (1892-1965) : Hey, J. S. The Evolution of Radio Astronomy. p. 75 Arago, Dominique (1786-1853) : MacTutor Archimedes of Syracuse (ca. 287-ca. 212 BC) : Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1510 Great Scientists from Ancient Times to the Present, Chronologically Arranged, rev. ed. New York: NY: Avon, 1976. Aristotle of Stagira (384-322 BC) : Asimov, I. Biographical Encyclopedia of Science and Technology; the Lives and Achievements of 1510 Great Scientists from Ancient Times to the Present, Chronologically Arranged, rev. ed. New York: NY: Avon, 1976.

29. MathSeek.com - Site Profile For Chebyshev - Pafnuty Lvovich chebyshev pafnuty Lvovich chebyshev (1821-1894) Site Profile. Titlechebyshev - pafnuty Lvovich chebyshev (1821-1894). http://www.mathseek.com/profiles/4402.php

@import url(http://www.animationseek.com/style.css); Search Directory Forum Chebyshev - Pafnuty Lvovich Chebyshev (1821-1894) Site Profile Title: Chebyshev - Pafnuty Lvovich Chebyshev (1821-1894) Description: Url: http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Chebyshev.html Category: Science/Math/History/People Add / Update Url Become an Editor Link to Us ... MathSeek.com - Math Search Engine - Seeking Sites about Math,Applications,Education,Recreations,Statistics,Algebra,Analysis,Chaos,Fractals,Combinatorics,Differential,Equations,Geometry,Logic,Foundations,Number,Theory,Numerical,Analysis,Operations,Research,Precalculus. PhysicsSeek.com SocialScienceSeek.com TechnologySeek.net BaseballSeek.com ... MartialArtsSeek.com

30. MathSeek.com People chebyshev pafnuty Lvovich chebyshev (1821-1894) profile - http//www-history.mcs.st-and.ac.uk/~history/Mathematicians/chebyshev.htmlWork on prime http://www.mathseek.com/categories/Science__Math__History__People.php

@import url(http://www.animationseek.com/style.css); Search Directory Forum Math History People - Found 26 sites about People Erd¶s,_Paul Menger,_Karl Napier,_John Euler,_Leonhard ... profile http://kolmogorov.com/Kolmogorov.html The most prominent twentieth-century mathematician. Anecdotes, Quotations, and Trivia: Physicists and Mathematicians profile http://www.geocities.com/ilian73/scientist.html Illustrated collecction. Archimedes (c. 287 B.C.-212 B.C.) profile http://www.encyclopedia.com/html/a/archimedes.asp (Encyclopedia.com) Greek mathematician, physicist, and inventor. Biographies of Women Mathematicians profile http://www.agnesscott.edu/lriddle/women/women.htm On-going project by students in mathematics classes at Agnes Scott College, in Atlanta, Georgia. Cauchy - Augustin-Louis Cauchy (1789-1857) profile http://www.newadvent.org/cathen/03457a.htm (Catholic Encyclopedia) Theory of polyhedra, symmetrical functions, proof of a theorem of Fermat which had baffled mathematicians like Gauss and Euler. Cauchy, Augustin Louis (1789-1857) profile http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Cauchy.html Cauchy contributed to almost every branch of mathematics. He is probably best known for his important contributions to real and complex analysis.

31. Pafnuty Lvovich Chebyshev --  Encyclopædia Britannica Encyclopædia Britannica, chebyshev, pafnuty Lvovich Encyclopædia Britannica Article. Petersburgpafnuty Lvovich chebyshev. pafnuty Lvovich chebyshev. Sovfoto. http://www.britannica.com/eb/article?eu=23095&tocid=0&query=teoria do equilbrio&

32. List Of Mathematical Topics function Characteristic polynomial Characteristic subgroup Charts onSO(3) chebyshev chebyshev, pafnuty Lvovich chebyshev polynomials http://www.fact-index.com/l/li/list_of_mathematical_topics.html

Main Page See live article Alphabetical index List of mathematical topics These pages collect pointers to all Wikipedia articles related to Mathematics . Everything remotely connected to mathematics, including articles about mathematicians, should be listed here. (For a much nicer list of mathematicians, see list of mathematicians .) The list is not necessarily complete or up to date - if you see an article that should be here but isn't (or one that shouldn't be here but is), please do update the page accordingly. The main purpose of these pages is to make it easy for those interested in the subject to monitor changes to these pages. You can use the following links: Recent changes in mathematics articles, A-C Recent changes in mathematics articles, D-F Recent changes in mathematics articles, G-I Recent changes in mathematics articles, J-L Recent changes in mathematics articles, M-O Recent changes in mathematics articles, P-R Recent changes in mathematics articles, S-U Recent changes in mathematics articles, V-Z A WikiProject is being developed at Wikipedia:WikiProject Mathematics regarding issues of form, structure and notation for mathematics articles. Check it out!

33. One Tailed Version Of Chebyshev's Inequality - By Henry Bottomley chebyshev or Tchebycheff. pafnuty Lvovich chebyshev was a notable Russianmathematician, who was born on 16 May 1821 and died on 8 December 1894. http://www.btinternet.com/~se16/hgb/cheb.htm

Chebyshev's inequality and a one-tailed version Chebyshev's inequality states that for which is equivalent to for A one-tailed version of Chebyshev's inequality is that for /Var(X)) i.e. t which is equivalent to for Turning inequality into equality Turning inequality into equality Proof of Chebyshev's inequality Proof of one-tailed version of Chebyshev's inequality ... Discussion and a new page with more thoughts Speculation on unimodal PDFs or go to a Mode-Mean inequality or Mode-Median-Mean relationships or some Statistics Jokes written by Henry Bottomley Turning Chebyshev's inequality into an equality becomes P[X=m-k.s] = 1/(2.k ), P[X=m+k.s] = 1/(2.k ), and P[X=m] = 1-1/k Note E(X)=m and Var (X)=s , sd(X)=s, so for this X k The equality will in general only be achieved for a symmetric three-valued distribution. If the probabilities are p, 1-2p and p then equality is achieved when k=(2p) . A symmetric two-valued distribution is a special case with k=1. A chart showing this distribution for k=2 is below (return to top) Turning one-tailed version of Chebyshev's inequality into an equality becomes P[X=m+s.k] = 1/(1+k

34. Allmath.com - Math Site For Kids! Home Of Flashcards, Math Click Here chebyshev, pafnuty Lvovich. chebishof (182194). Mathematician,born in Okatovo, Russia. A graduate of Moscow University http://www.allmath.com/biosearch.php?QMeth=ID&ID=6693

35. List Of Lunar Craters - Wikipedia, The Free Encyclopedia Translate this page Charlier, Carl Charlier. Chaucer, Geoffrey Chaucer. Chauvenet, William Chauvenet.chebyshev, pafnuty chebyshev. Chekov, Anton Chekhov. Chenier, Chernyshev, Chevallier, http://en.wikipedia.org/wiki/List_of_Lunar_craters

36. The Mathematics Genealogy Project - Pafnuty Chebyshev pafnuty Lvovich chebyshev Biography Ph.D. University of St. According to our currentonline database, pafnuty chebyshev has 5 students and 2352 descendants. http://www.genealogy.ams.org/html/id.phtml?id=12542

37. World Of Quotes - Pafnuty Lvovich Chebyshev Quotes. pafnuty Lvovich chebyshev Quotes, Searchable and browsable databaseof quotations with author and subject indexes. Quotes from famous http://www.worldofquotes.com/author/Pafnuty-Lvovich-Chebyshev/1/

i Topics Authors Proverbs ... Quote-A-Day Main Menu Topics Authors Proverbs Documents ... Contact Sponsor 1 Quotes for 'Pafnuty Lvovich Chebyshev' in the Database. Pages: Author Letter "P" To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls. Topic: Mathematics Source: "Calculus Gems" by G.F. Simmons (198) Pages: Topics Authors Proverbs Search ... Quote-A-Day All Quotes are provided for educational purposes only and contributed by users. Contact LyricsCrawler.com CheatsCrawler.com Page Generated in: 0.010488986968994 seconds. o

38. Quotations By Chebyshev Quotations by pafnuty Lvovich chebyshev. To isolate mathematics fromthe practical demands of the sciences is to invite the sterility http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ37F5.htm

Quotations by Pafnuty Lvovich Chebyshev To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls. G Simmons, Calculus Gems (New York 1992). Close this window or click this link to go back to Chebyshev Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR August 1998 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Quotations/Chebyshev.html

39. People History Math Science chebyshev pafnuty Lvovich chebyshev (1821-1894) www-history.mcs.st-and.ac.uk/~history/Mathematicians/chebyshev.htmlMath History People. http://www.interactiva.org/Dir/I/English/Science/Math/History/People/

www.interactiva.org English Deutsch Espa±ol ... People People : Math History People: Euler, Leonhard Napier, John Erd¶s, Paul Menger, Karl Aristotle: English Society Philosophy Philosophers A Aristotle Euclid: English Science Math Geometry People Historical Euclid Newton, Isaac: English Science Physics History People Newton, Isaac Pythagoras of Samos: English Society Philosophy Philosophers P Pythagoras of Samos Thales: English Society Philosophy Philosophers T Thales Zeno of Elea: English Society Philosophy Philosophers Z Zeno of Elea Calculus Pioneers: English Science Math Calculus People Geometers: English Science Math Geometry People Historical Logicians and Set Theorists: English Science Math Logic and Foundations History People Charles Babbage: English Computers History Pioneers Babbage, Charles Descartes, Ren©: English Society Philosophy Philosophers D Descartes, Ren© Galileo Galilei: English Science Astronomy History People Galilei, Galileo Kepler, Johannes: English Science Astronomy History People Kepler, Johannes Omar Khayyam: English Arts Literature Authors O Omar Khayyam English Science Math: Mathematicians English Kids and Teens School Time Math: Mathematicians English Science Physics History: People English Society History By Topic Science: People English Science Physics Classical Mechanics: People English Computers History: Pioneers University of St. Andrews: Biography Index

40. Pafnuty Lvovich Chebyshev name university year home submit about help pafnuty Lvovich chebyshev.Doctorate from St. Petersburg University in 1849 Adviser Nikolai http://sigact.acm.org/cgi-bin/genealogy.cgi?file=database-C.html&from=Chebyshev,

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