61. Www.matematicas.net - Historia ~ Galería De Genios Matemáticos Translate this page MP3. RAM. MP3. RAM. MP3. RAM. MP3. RAM. Chasles, Michel. chebyshev, pafnuty.Christoffel, Elwin. Chrystal, George. MP3. RAM. MP3. RAM. MP3. RAM. MP3.RAM. http://www.matematicas.net/paraiso/historia.php?id=galeria1

62. Chebyshev Phys. 107, 10003 (1997). PDF. pafnuty L. chebyshev 18211894. chebyshev expansionmethods for electronic structure calculations on large molecular systems. http://www.fh.huji.ac.il/~roib/chebyshev.htm

Roi Baer email Dept. of Physical Chemistry , and the Lise Meitner research center The Hebrew University Jerusalem 91904, Israel. Tel: +972-2-658-6114 Fax: +972-2-651-3742 TOC L@ J. Chem. Phys. PDF Pafnuty L. Chebyshev 1821-1894 Chebyshev expansion methods for electronic structure calculations on large molecular systems Roi Baer and Martin Head-Gordon Department of Chemistry, University of California, Berkeley and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA The Chebyshev polynomial expansion of the one electron density matrix (DM) in electronic structure calculations is studied, extended in several ways and benchmark demonstrations are applied to large saturated hydrocarbon systems, using tight-binding method. We describe a flexible tree code for the sparse numerical algebra. We present an efficient method to locate the chemical potential. A reverse summation of the expansion is found to significantly improve numerical speed. We also discuss the use of Chebyshev expansions as analytical tools to estimate of the range and sparsity of the DM and the overlap matrix. Using these analytical estimates, a comparison with other linear scaling algorithms and their applicability to various systems is considered

63. ONLIPIX - Great Names Pictures : CHE CHEATHAM (Benjamin Franklin)(18191886) Photo 1/2/3/4/5/6/7/8/9/10; CHEBOTARYOV(Nikolai) Photo 1 Drawing 1; chebyshev (pafnuty) Photo 1 (2) Painting 1 (2 http://www.onlipix.com/personages/che.htm

CHE A B C D ... Z CHEATHAM (Benjamin Franklin)(1819-1886) Photo CHEBOTARYOV (Nikolai) Photo Drawing CHEBYSHEV (Pafnuty) Photo Painting CHECA (Miguel Langara) Group photo (with Antonio Cerrudo CALLES Anselmo Lorenzo ASPERILLA Jose Rubau DONADEU Julio Rubau DONADEU ... Jose Posyol URRICAIN and Antonio Gimeno YATO CHECA (Pedro) Photo Photo Voice (.aif)/2 (.wav)/3 (.aif)/4 (.wav) CHEDWICK (Porky) Photo CHEEL (Edwin)(1872-1951) Photo CHEESMAN (Thomas)(1760-1835) Painting CHEETHAM (Alfred B.)(1868-1918) Painting CHEKALOV (Vladimir) Photo CHEKE (Sir John)(1514-1557) Painting CHEKOV (Anton Pavlovich)(1860-1904) Photo /3/4/5 (young)/6/7/8 (in 1875)/9/10 Drawing Group photo (with Maxime GORKI CHELMSFORD (Frederick THESIGER, 1st Baron)(1794-1878) Painting CHELWOOD (Edgar Algernon Robert GASCOYNE-CECIL, 1st viscount Cecil of)(1864-1958) Photo Painting Drawing CHEN (Boda) Photo CHEN (Liangyu) Photo CHEN (Muhua) Photo CHEN (Xitong) Photo CHEN (Yi) Photo CHEN (Yun) Photo CHENAILLER (Paul) Photo CHENARD (Ernest) Drawing CHENAULT (Claire L.)(1890-1958)

64. Wauu.DE: Science: Math: History: People http//wwwgroups.dcs.st-andrews.ac.uk/~history/Mathematicians/Cauchy.html. chebyshev- pafnuty Lvovich chebyshev (1821-1894) Work on prime numbers included the http://www.wauu.de/Science/Math/History/People/

Home Science Math History : People Search DMOZ-Verzeichnis: All Categories Categories Onlye Kategorien: Erd¶s, Paul Euler, Leonhard Napier, John Links: Abel - Niels Henrik Abel (1802-1829) Norwegian mathematician. Worked on elliptic functions and integrals, algebraic solution of equations and solubility by radicals. http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Abel.html al-Khwarizmi - Abu Ja'far al-Khwarizmi (780-850) Arab mathematician, lived when spread of ideas was very slow, wrote Hisab al-jabr wal-muqabala, concepts of the Middle East. The "al-jabr" gave us the word algebra." introduced the decimal system, rules for solving linear and quadratic equations, the word "algorithm" comes from his name. http://www.windows.ucar.edu/people/middle_ages/al-khwarizmi.html Al-Sabi Thabit ibn Qurra al-Harrani Gives information on background and contributions to non-euclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html

65. Biografía Matemáticos: P. L. CHEBYSHEV (1/4) Translate this page Su vida pafnuty Lvovich chebyshev nació el 16 de Mayo de 1821 en una finca desu padre en Okatovo, región de Kaluga, al oeste de Rusia, en el seno de una http://www.divulgamat.net/weborriak/Historia/MateOspetsuak/Chebyshev.asp

Textos on-line Exposiciones virtuales Recursos en Internet P. L. CHEBYSHEV (1 de 4) Su vida Quiénes somos Sugerencias Agradecimientos Homenajes ... Noticias DivulgaMAT

66. :: Ez2Find :: People URL http//wwwgroups.dcs.st-andrews.ac.uk/~history/Mathematicians/Cauchy.html;chebyshev - pafnuty Lvovich chebyshev (1821-1894) - Site Info - Translate http://ez2find.com/cgi-bin/directory/meta/search.pl/Science/Math/History/People/

Guide : People Global Metasearch Any Language English Afrikaans Arabic Bahasa Melayu Belarusian Bulgarian Catala Chinese Simplified Chinese Traditional Cymraeg Czech Dansk Deutsch Eesti Espanol Euskara Faroese Francais Frysk Galego Greek Hebrew Hrvatski Indonesia Islenska Italiano Japanese Korean Latvian Lietuviu Lingua Latina Magyar Netherlands Norsk Polska Portugues Romana Russian Shqip Slovensko Slovensky Srpski Suomi Svenska Thai Turkce Ukrainian Vietnamese Mode All Words Any Word Phrase Results Timeout Depth Adult Filter Add to Favorites Other Search Web News Newsgroups Images Invisible Web White Pages - Last Name Source: [ InfoSpace First Name City State/Province Choose State/Prov. Alabama Alaska Alberta Arizona Arkansas British Columbia California Colorado Connecticut D.C. Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Manitoba Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Brunswick New Hampshire New Jersey New Mexico New York Newfoundland North Carolina North Dakota Northwest Terr. Nova Scotia Ohio Oklahoma Ontario Oregon Pennsylvania Prince Edward Isl.

67. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï 15 June 1894 in KamenetsPodolsk, Ukraine Died 2 July 1947 in Moscow, USSR chebyshev,pafnuty Lvovich chebyshev Born 16 May 1821 in Okatovo, Russia Died 8 http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=C

68. Science, Math, History, People He is probably best known for his important contributions to real and complexanalysis.. chebyshev pafnuty Lvovich chebyshev (1821-1894). http://www.klevze.si/browse/Science/Math/History/People/

Top Science Math History ... People Search: Web Directory: Science, Math, History, People Web Directory Daily News PHP Manuals mySQL Manuals ... Svenska Browsing Science, Math, History, People Category Aristotle Euclid Euler, Leonhard Napier, John ... Omar Khayyam See also: Computers: History: Pioneers Kids and Teens: School Time: Math: Mathematicians Science: Math: Mathematicians Science: Physics: Classical Mechanics: People ... University of St. Andrews: Biography Index - Names are listed alphetically or by date, from 1680 BC to the present. Abel - Niels Henrik Abel (1802-1829) Norwegian mathematician. Worked on elliptic functions and integrals, algebraic solution of equations and solubility by radicals.. al-Khwarizmi - Abu Ja'far al-Khwarizmi (780-850) Arab mathematician, lived when spread of ideas was very slow, wrote Hisab al-jabr wal-muqabala, concepts of the Middle East. The "al-jabr" gave us the word algebra." introduced the decimal system, rules for solving linear and quadratic equations, the word "algorithm" comes from his name.. Al-Sabi Thabit ibn Qurra al-Harrani Gives information on background and contributions to non-euclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages..

69. ×éÖ¯ chebyshev pafnuty Lvovich chebyshev (1821-1894) - /. d Alembert - Jean Le Rond d Alembert (1717-1783) - . http://www.lib.pku.edu.cn/is/Navigation/Mathematics/org_1.htm

American Mathematical Society (AMS) Association for Women in Mathematics Association of Christians in the Mathematical Sciences Australian Mathematical Society (AustMS) ... BRIMS - Ó¢¸ñÀ¼²¼Àï˹Íжû£¨HP£©Êýѧ¿Æѧ»ù´¡Ñо¿Ñ§»á. Centre for Experimental and Constructive Mathematics CRM Barcelona CRM Montreal CWI ... MRC - Ó¢¸ñÀ¼ WarwickÊýѧÑо¿ÖÐÐÄ MSRI Newton Institute Rényi Institute Steklov Institute ... American Mathematical Society e-Math Home Page À¹úÊýѧЭ»áµÄµç×ÓÊýѧÖ÷Ò³£¬AMSµÄ³ÉÔ±¿ÉÖ±½ÓÁ´½Óµ½AMSµÄµç×ÓÆÚ¿¯£¬¿É²éѯ¹«¹²³ö°æÊý¾Ý¿â¡¢»áÒéÄÚÈݼ°»áÒé°²ÅÅÈÕÀúµÈ. The Association of European Operational Research Societies Canadian Operational Research Society/Sociét?Canadienne de Recherche Opérationnelle Institute for Operations Research and the Management Sciences - INFORMS£¨Ô˳Ｐ¹ÜÀí¿ÆѧÑо¿Ëù£©ÔÚÏߣ¬ÌṩINFORMSµÄ¸÷ÖÖ»áÒé¡¢½ÌÓý×ÊÔ´ºÍÏà¹ØÁ´½ÓµÈ¡£ The Mathematical Association of America ÀÖÞÊýѧÁª»á£¬Äܹ»Á´½Óµ½MAA Gopher ·þÎñÆ÷¡¢ MAA Ö÷Ò³µÄÆäËû²¿·Ö¼°Ïà¹ØµÄÊýѧվµã . Mathematical Programming Society Military Operations Research Society National Science Foundation World Wide Web Server ¹ú¼Ò¿Æѧ»ù½ð»áµÄWWW·þÎñ¡£ Society for Risk Analysis Washington Institute for Operations Research and Management Science (WINFORMS, formerly WORMSC)

70. Encyclopedia4U - Pafnuty Chebyshev - Encyclopedia Article pafnuty chebyshev. This article is licensed under the GNU Free DocumentationLicense. It uses material from the Wikipedia article pafnuty chebyshev . http://www.encyclopedia4u.com/p/pafnuty-chebyshev.html

ENCYCLOPEDIA U com Lists of articles by category ... Encyclopedia Home Page SEARCH : Pafnuty Chebyshev Pafnuty Lvovich Chebyshev ) was a Russian mathematician . His name is also transliterated as Tchebycheff or Tschebyscheff He is known for his work in the field of probability and statistics Chebyshev's inequality says that the probability that a random variable is more than a standard deviations away from its mean is no more than 1/ a expected value for any positive real number a . Chebyshev's inequality is used to prove the weak law of large numbers and the Bertrand-Chebyshev theorem The Chebyshev polynomials are named in his honor. In analog electronics there exists a filter family named "Chebyshev filters". See also: Chebotarev's density theorem - ( algebraic number theory Bienaymé-Chebyshev inequality Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. Privacy This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article " Pafnuty Chebyshev

71. Chebyshev Polynomials :: Online Encyclopedia :: Information Genius The chebyshev polynomials named after pafnuty chebyshev, compose a polynomial sequence,and are defined by for n = 0, 1, 2, 3, . That cos(nx) is an nth http://www.informationgenius.com/encyclopedia/c/ch/chebyshev_polynomials.html

Quantum Physics Pampered Chef Paintball Guns Cell Phone Reviews ... Science Articles Chebyshev polynomials Online Encyclopedia The Chebyshev polynomials named after Pafnuty Chebyshev , compose a polynomial sequence , and are defined by for n = 0, 1, 2, 3, .... . That cos( nx ) is an n th-degree polynomial in cos( x ) can be seen by observing that cos( nx ) is the real part of one side of De Moivre's formula , and the real part of the other side is a polynomial in cos( x ) and sin( x ), in which all powers of sin( x ) are even. These polynomials are orthogonal with respect to the weight on the interval [-1,1], i.e., we have This content from wikipedia is licensed under the GNU Free Documentation License Power Supplies Hardware Information Law Advice

72. Pafnuty Chebyshev Article on pafnuty chebyshev from WorldHistory.com, licensed fromWikipedia, the free encyclopedia. Return Index pafnuty chebyshev. http://www.worldhistory.com/wiki/P/Pafnuty-Chebyshev.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Pafnuty Chebyshev Pafnuty Lvovich Chebyshev May 4 November 26 ) was a Russian mathematician. His name is also transliterated as Chebyshov Tchebycheff or Tschebyscheff He is known for his work in the field of probability and statistics Chebyshev's inequality says that the probability that the outcome of a random variable is more than a standard deviation s away from its mean is no more than 1/ a Chebyshev's inequality is used to prove the weak law of large numbers and the Bertrand-Chebyshev theorem The Chebyshev polynomials are named in his honor. In analog electronics there exists a filter family named " Chebyshev filter s". See also: Chebotarev's density theorem algebraic number theory Bienaymé-Chebyshev inequality Chebyshev nodes Sponsored Links Advertisements Harry Potter and the Prisoner of Azkaban (#3) unabridged on CD DVD New Releases at Barnes and Noble ... at DVDPlanet Find lost family and friends This article is licensed under the GNU Free Documentation License You may copy and modify it as long as the entire work (including additions) remains under this license. You must provide a link to http://www.gnu.org/copyleft/fdl.html

73. List Of Mathematical Topics - Encyclopedia: Article And Reference Information Characteristic function Characteristic polynomial Characteristic subgroup Charts on SO(3) chebyshev chebyshev, pafnuty Lvovich chebyshev http://encyclopedia.ekist.de/l/li/list_of_mathematical_topics.html

Anthropology Architecture Archaeology Biology ... See live article You are here: Encyclopedia > List of mathematical topics 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

74. Chebyshev J. Chem. Phys. 107, 10003 (1997). Full Paper. pafnuty L. chebyshev18211894. chebyshev expansion methods for electronic structure http://www.cchem.berkeley.edu/~mhggrp/roib/chebyshe.htm

Roi Baer MHG Group Dept. of Chemistry, UC Berkeley , CA 94720. Tel/Fax: 510-525-7021 TOC L@W Home Up J. Chem. Phys. Full Paper Pafnuty L. Chebyshev 1821-1894 Chebyshev expansion methods for electronic structure calculations on large molecular systems Roi Baer and Martin Head-Gordon Department of Chemistry, University of California, Berkeley, and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720 The Chebyshev polynomial expansion of the one electron density matrix (DM) in electronic structure calculations is studied, extended in several ways and benchmark demonstrations are applied to large saturated hydrocarbon systems, using tight-binding method. We describe a flexible tree code for the sparse numerical algebra. We present an efficient method to locate the chemical potential. A reverse summation of the expansion is found to significantly improve numerical speed. We also discuss the use of Chebyshev expansions as analytical tools to estimate of the range and sparsity of the DM and the overlap matrix. Using these analytical estimates, a comparison with other linear scaling algorithms and their applicability to various systems is considered

75. Mathem_abbrev Cartwright, Dame Mary Cassels, John Cauchy, Augustin Cavalieri, Bonaventura Cayley,Arthur Chang, SunYung Chapman, Sydney chebyshev, pafnuty, Chern, Shiing http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

76. ABC.NET Web Directory - - Science - Math - History - People - Open in a new Window, » chebyshev pafnuty Lvovich chebyshev (1821-1894) - Workon prime numbers included the determination of the number of primes not http://www.abc.net/dir/index.php/Science/Math/History/People/

HOME DIRECTORY META SEARCH NEWS ... World Search: search the entire directory search this category only Top Science Math History ... Omar Khayyam See also: Computers: History: Pioneers Kids and Teens: School Time: Math: Mathematicians Science: Math: Mathematicians Science: Physics: Classical Mechanics: People ... University of St. Andrews: Biography Index - Names are listed alphetically or by date, from 1680 BC to the present. Abel - Niels Henrik Abel (1802-1829) - Norwegian mathematician. Worked on elliptic functions and integrals, algebraic solution of equations and solubility by radicals. al-Khwarizmi - Abu Ja'far al-Khwarizmi (780-850) - Arab mathematician, lived when spread of ideas was very slow, wrote Hisab al-jabr wal-muqabala, concepts of the Middle East. The "al-jabr" gave us the word algebra." introduced the decimal system, rules for solving linear and quadratic equations, the word "algorithm" comes from his name. Al-Sabi Thabit ibn Qurra al-Harrani - Gives information on background and contributions to non-euclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages. Andrei Nikolaevich Kolmogorov (1903-1987) - The most prominent twentieth-century mathematician.

77. Full Alphabetical Index Translate this page Chaplygin, Serg (366*) Chapman, Sydney (792*) Chasles, Michel (154*) Châtelet, Gabrielledu (154*) Chebotaryov, Nikolai (409*) chebyshev, pafnuty (255*) Chern http://www.geocities.com/Heartland/Plains/4142/matematici.html

78. Chebyshev's Inequality - Wikipedia The theorem is used for proving the weak law of large numbers. The theorem is namedin honor of pafnuty chebyshev. See also Markov s inequality. wikipedia.org http://www.web-dictionary.org/encyclopedia/tc/Tchebysheff's_theorem.html

Web-Dictionary.org An Online Dictionary For Everyone Contents Chebyshev's inequality From Wikipedia, the free encyclopedia. Redirected from Tchebysheff's theorem Chebyshev's inequality (or Tchebysheff's inequality ) is a result in statistics that gives a lower bound for the probability that a value of a random variable with finite variance lies within a certain distance from the variable's mean ; equivalently, the theorem provides an upper bound for the probability that values lie outside the same distance from the mean. The theorem applies even to non "bell-shaped" distributions and puts bounds on how much of the data is or is not "in the middle". Theorem. Let X . Now, for any real number k Only the cases k For illustration, assume Wikipedia articles are on average 1000 characters long with a standard deviation of 200 characters. From Chebyshev's inequality we can then deduce that at least 75% of Wikipedia articles have a length between 600 and 1400 characters ( k Another consequence of the theorem is that for any distribution The bounds provided by Chebyshev's inequality cannot, in general, be improved upon; it is possible to construct a random variable where the Chebyshev bounds are exactly equal to the true probabilities. Typically, however, the theorem will provide rather loose bounds.

79. Encyclopedia Pafnuti Chebyshev pafnuty Lvovich chebyshev ( ? ?)(May 4 1821 November 26 1894) was a Russian mathematician. http://www.nationmaster.com/encyclopedia/Pafnuti-Chebyshev

80. Historia Matematica Mailing List Archive: [HM] Authors Sought F Aleksandrov, Pavel Sergeevich (18961982) Borel, Emile (1871-1956) Cartan, Elie Joseph(1869-1951) chebyshev, pafnuty Lvovich (1821-1894) Erdos, Paul (1913-1996 http://sunsite.utk.edu/math_archives/.http/hypermail/historia/jun00/0204.html

[HM] Authors Sought for Encyclopedia Americana Articles Subject: [HM] Authors Sought for Encyclopedia Americana Articles From: Craig B. Waff ( Cbwaff@aol.com Date: Thu Jun 29 2000 - 01:39:21 EDT Next message: Christa Binder: "Re: [HM] Authors Sought for Encyclopedia Americana Articles" Previous message: Siegmund Probst: "Re: [HM] Parallel Postulate" Next in thread: Christa Binder: "Re: [HM] Authors Sought for Encyclopedia Americana Articles" Reply: Christa Binder: "Re: [HM] Authors Sought for Encyclopedia Americana Articles" Reply: Sergio Nobre: "Re: [HM] Authors Sought for Encyclopedia Americana Articles" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] I am currently seeking authors for new biographical articles in the 'Encyclopedia Americana' on the following mathematicians (and one logician): Aleksandrov, Pavel Sergeevich (1896-1982) Borel, Emile (1871-1956) Cartan, Elie Joseph (1869-1951) Chebyshev, Pafnuty Lvovich (1821-1894) Erdos, Paul (1913-1996) Kronecker, Leopold (1823-1891) Lindemann, Carl Louis Ferdinand (1852-1939) Luzin, Nikolai Nikolaievich (1883-1950)

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