41. Nikolai Luzin Université Montpellier II nikolai luzin nikolai M Krylov nikolai luzin (1883-1950). Cette image et la biographie complète en anglais http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1494

42. Nikolai Ivanovich Lobachevsky Université Montpellier II nikolai Brashman nikolai Chebotaryov nikolai EgorovichZhukovskii nikolai Ivanovich Lobachevsky nikolai luzin nikolai M Krylov http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1480

43. Earliest Known Uses Of Some Of The Words Of Mathematics (M) nikolai luzin, Sur les propriétês des fonctions mesurables, Comptes RendusHebdomadaires des Séances de l Académie des Sciences 154 (1912). http://members.aol.com/jeff570/m.html

Earliest Known Uses of Some of the Words of Mathematics (M) Last revision: March 20, 2005 MACLAURIN'S SERIES is named for Colin Maclaurin Maclaurin's theorem appears in 1820 in Collection of Examples of the Applications of the Differential and Integral Calculus by G. Peacock [Mark Dunn]. In 1849, An Introduction to the Differential and Integral Calculus, 2nd ed., by James Thomson has: "A particular case of this formula is commonly called Maclaurin's theorem, because it was first made generally known by that writer. It had been given previously, however, by Stirling, another Scotch mathematician; and therefore, if a particular case of Taylor's general theorem should be named after any other mathematician, this ought to be called Stirling's theorem. " Thomson subsequently uses the term Stirling's theorem throughout the book. McLaurin's formula is found in English in 1855 in Elements of the differential and integral calculus by Albert Ensign Church [University of Michigan Digital Library]. Nouv. Ann. Maclaurin's series is found in English in 1831 in the second edition of Elements of the Differential Calculus (1836) by John Radford Young: "All that is meant is, that the function in

44. MY MATHEMATICAL GENEOLOGY Dimitri Fedorowitsch Egorov (1901) nikolai Nikolayevich luzin (1915) Andrei Nikolayevich Kolmogorov (1925) Israil Moiseivich Gelfand (? http://www.calstatela.edu/faculty/rcooper2/geneology.html

MY MATHEMATICAL GENEOLOGY In mathematics each mathematician begins as an aprentice (graduate student) and has a teacher (their advisor). An aprentice then becomes a teacher and has their own aprentice. This forms a chain, a mathematical geneology. This is my mathematical geneology. (To the right is the date the person earned their Ph.D)

45. In The Neighborhood Of Mathematical Space (an Interview With aid of textbooks was pioneered in Russia by nikolai Nikolaevich luzin, luzin was born in 1883 in Siberia, the son of a merchant and grandson of a http://at.yorku.ca/t/o/p/c/02.dir/3.htm

Back to the index page for this document. Previous section Next section In The Neighborhood of Mathematical Space (an interview with Alexander V. Arhangelskii), part 3, by Karen Shenfeld Due west of the Kremlin, beyond the ring road that separates Moscow's inner and outer cities, the east-west Kalinina Prospekt bends slightly to the south, heading across the River Moskva, just where it snakes around the gargantuan Hotel Ukraine. Stretching away from the Kalinina Bridge, on the western bank of the river, the avenue continues, now called Kutuzovski Prospekt. It was given this name in 1957 in honour of Mikhail Illarionovich Kutuzov, who led the Russian forces against Napoleon in the War of 1812. Following the course of the ancient road to Smolensk, Kutuzovski Prospect veers gently toward a rise of land called the Poklonnaya Gora; the Russian name translates as "the hill you bow to," recalling a custom once observed by travellers arriving in Moscow from this direction. It was on this height, which years ago commanded a view of the city, that Napoleon stood, waiting to receive official word of Moscow's surrender. Alexander Vladimirovich Arhangel'skii lives on Kutuzovski Prospekt with his wife, Olga Constantinovna, and their 27-year-old son, Vladimir Alexandrovich. (The Arhangel'skiis also have a 31-year-old daughter, Tatiana Alexanderovna; she is married and lives in Moscow with her husband and eight-year-old son.) Arhangel'skii enjoys its relative proximity to M.S.U. He also appreciates the fact that from the Kutuzovskaya Metro Station, near the western end of Kutuzovski Prospekt, it is only a two-stop subway ride to the Kievskaya Station. From there, he can board an Elektrishke, an electrical commuter train, and, in less than a half an hour, be walking (or, in winter, cross-country skiing) through a forest of birch. It is not much farther from the Kutuzovskaya station to the Kurski station, from where he can catch another train, and, in roughly an hour's time, arrive in the village of Saltykovskaya, where his mother resides.

46. In The Neighborhood Of Mathematical Space, By Karen Shenfeld aid of textbooks was pioneered in Russia by nikolai Nikolaevich luzin, luzin was born in 1883 in Siberia, the son of a merchant and grandson of a http://at.yorku.ca/t/o/p/c/02.dir/6.htm

Back to the index page for this document. In The Neighborhood of Mathematical Space (an interview with Alexander V. Arhangelskii) Karen Shenfeld Interview from volume 1 # 1 of TopCom Exclusive reprint in Topology Atlas from the Summer 1993 issue of The Idler with kind permission of the publisher. Alexander Vladimirovich Arhangel'skii walked briskly up a tree-lined avenue toward the tiered "Stalinist Gothic" towers of Moscow State University. "Topology," he said, slightly out of breath, "is the study of absolute nearness . . . the absolute, infinite nearness of `a point' to `a set.' Consider, if you will, the present moment as a topologist would: it is, simply put, `a point' in time, which is infinitely near to `the set of all points' in the past, and infinitely near, without the slightest gap, to `the set of all points' in the future. A topologist can represent, with mathematical rigour, the essence of the present moment. He has only to recall the topological structure of `the real line.' " It seemed ironic that, even as he was speaking of the infinite nearness of points in time, the eminent Russian mathematician should be running 15 minutes late for the seminar he teaches at six o'clock on Monday evenings. An hour earlier, he had been standing at the door of his apartment, changing out of his slippers and into his oxfords, when the telephone had rung. An old friend was on the line, and Alexander Vladimirovich had sat down on a rickety wooden chair in the entrance hall for a chat. He might have cut the conversation short had he known that he would have to wait longer than usual for the Lomonosovskii-Prospekt bus.

47. Alec Mihailovs' Mathematical Ancestors Asymptotic Properties of Certain Ordinary Differential Equations with Applicationsto Boundary Value and Expansion Problems. nikolai Nikolayevich luzin http://webpages.shepherd.edu/amihailo/ancestors.htm

My Mathematical Ancestors Abraham Gotthelf Kaestner Ph.D. University of Leipzig Dissertation: Johann Bernoulli Ph.D. Dissertation: Johann Friedrich Pfaff Ph.D. University of Helmstedt Dissertation: Programma inaugurale in quo peculiarem differentialia investigandi rationem ex theoria functionum deducit Leonhard Euler Ph.D. Dissertation: Carl Friedrich Gauß Ph.D. University of Helmstedt Dissertation: Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse Joseph Louis Lagrange Ph.D. Dissertation: Pierre Simon Laplace Ph.D. Dissertation: Friedrich Wilhelm Bessel Ph.D. Universität Göttingen Dissertation: Siméon Denis Poisson Ph.D. École Polytechnique Dissertation: Heinrich Ferdinand Scherk Ph.D. Universität Berlin Dissertation: Michel Chasles Ph.D. École Polytechnique Dissertation: Karl Theodor Wilhelm Weierstraß Honorary Universität Königsberg Dissertation: Über die Entwicklung der Modularfunctionen Ernst Eduard Kummer Ph.D. Universität Halle Dissertation: De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis H. A. (Hubert Anson) Newton

48. Chapter II The Russian mathematician nikolai Nilolaevich luzin used to say in his lecturesthat the advantages of the decimal system are zoological, not mathematical. http://kr.cs.ait.ac.th/~radok/math/mat4/m42.htm

Chapter II Formation of Continued Fractions Expansion of a Real Number into a Continued Fraction Algorithm of Expansion into a Continued Fraction Forget for the time being the decimal system. The Russian mathematician Nikolai Nilolaevich Luzin used to say in his lectures that the advantages of the decimal system are zoological, not mathematical. If we had eight fingers on our two hands instead of ten, mankind would operate in the octal system . Indeed, the decimal system is very convenient in practice, but it is inappropriate for a discussion of theoretical aspects of arithmetic. Forget about any decimal and positional number system, that is, take Archimedes place and ask yourself: What would be the most natural approach to estimating a real number? This question is answered without hesitation: The first step is to indicate the integers between which our number lies. For example, 61/27 lies between 2 and 3, lies between 1 and 2, p lies between 3 and 4. Naturally, it is sufficient to indicate only the lower bound: x x y p z z Note that these estimates are not tied to any specific notation of integers, that is, to a specific number system!

49. New Dictionary Of Scientific Biography Translate this page luzin, nikolai nikolaievich Lyapunov, Aleksandr Mikhailovich Macaulay, FrancisSowerby McColl, Hugh Maclaurin, Colin MacMahon, Percy Alexander http://www.indiana.edu/~newdsb/math.html

Make Suggestions Mathematics Abel, Niels Henrik Abraham Bar ?iyya Ha-Nasi Abu Kamil Shuja? Ibn Aslam Ibn Mu?ammad Ibn Shuja? Abu'l-Wafa? al-Buzjani, Mu?ammad Ibn Mu?ammad Ibn Ya?ya Ibn Isma?il Ibn al- ?Abbas Adams, John Couch Adelard of Bath Adrain, Robert Aepinus, Franz Ulrich Theodosius Agnesi, Maria Gaetana Aguilon, François d' A?mad Ibn Yusuf Aida Yasuaki Ajima Naonobu Akhiezer, Naum Il'ich Albert, Abraham Adrian Albert of Saxony Alberti, Leone Battista Aleksandrov, Pavel Sergeevich Alembert, Jean Le Rond d' Alzate y Ramírez, José Antonio Ampère, André-Marie Amsler, Jakob Anatolius of Alexandria Anderson, Oskar Johann Viktor Andoyer, Henri Angeli, Stefano Degli Anthemius of Tralles Antiphon Apollonius of Perga Appell, Paul Arbogast, Louis François Antoine Arbuthnot, John Archimedes Archytas of Tarentum Argand, Jean Robert Aristaeus Aristarchus of Samos Arnauld, Antoine Aronhold, Siegfried Heinrich Artin, Emil Atwood, George Autolycus of Pitane Auzout, Adrien

50. List Of Scientists By Field Translate this page luzin, nikolai nikolaievich. Lyapunov, Aleksandr Mikhailovich. Lyapunov, AleksandrMikhailovich. Lyell, Charles. Lyell, Charles http://www.indiana.edu/~newdsb/l.html

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51. Gale-Edit - Dictionary Of Science Biography - Scientists By Name Luwenheim, Leopold; luzin, nikolai nikolaievich; Lyapunov, Aleksandr Mikhailovich;Lyell, Charles; Lyman, Benjamin Smith; Lyman, Chester Smith; Lyman, http://www.gale-edit.com/ndsb/scientists.htm

Home Suggestions for Inclusion Editorial Board About Charles Scribner's Sons ... Z A Abailard, Pierre Abano, Pietro Abano, Pietro d' 'Abbas Ibn Firnas Abbe, Cleveland Abbe, Ernst Abel, John Jacob Abel, Niels Henrik Abel, Othenio Abetti, Antonio Abich, Otto Hermann Wilhelm Abney, William de Wiveleslie Abraham Bar Hiyya Ha-Nasi Abraham, Max Abreu, Aleixo Abreu, Aleixo de Abu Hamid al-Gharnati Abu Kamil Shuja' Ibn Aslam Ibn Muhammad Ibn Shuja' Abu Ma'shar al-Balkhi, Ja'far Ibn Muhammad Abu'l-Barakat al-Baghdadi, Hibat Allah Abu'l-Fida' Isma'il Ibn 'Ali Ibn Mahmud Ibn . . . Ayyub, 'Imad al-Din Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad ~Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Accum, Friedrich Christian Achard, Franz Karl Acharius, Erik Achillini, Alessandro Acosta, Cristobal Acosta, Jose Acosta, Jose de Acyuta Pisarati Adam of Bodenstein Adams, Frank Dawson Adams, John Couch Adams, Leason Heberling Adams, Roger Adams, Walter Sydney Adanson, Michel Addison, Thomas Adelard of Bath Adet, Pierre-Auguste

52. Image:David Face.png Bernard Fr©nicle de Bessy Robert Woodhouse Jean Giraud (mathematician) Carlo Alberto Biggini nikolai luzin Pavel Sergeevich Alexandrov http://www.algebra.com/algebra/about/history/Image:David-face.png.wikipedia

Image:David face.png Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$180,000 has been donated since the drive began on 19 August. Thank you for your generosity! Image:David face.png Image File history File links This is a file from the Wikimedia Commons . The description on its description page there is copied below. Face of en:Image:Michelangelos David.jpg , created by Halibutt in GIMP for use as an icon with various stubs and tables. This file has been released into the public domain by the File links The following pages link to this file: Andrey Markov Christian Goldbach Christian Doppler Diophantus ... Nicholas Bobadilla Retrieved from " http://en.wikipedia.org/wiki/Image:David_face.png Views Image Discussion Edit this page History Personal tools Create account / log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 01:05, 11 January 2005. All text is available under the terms of the GNU Free Documentation License (see for details).

53. Things Krzys' Likes On The Web William Ewart Gladstone Andrey Nikolaevich Kolmogorov Henri Lebesgue Claire Boothe Luce nikolai Nikolaevich luzin Stefan Mazurkiewicz (also here) http://www.math.ilstu.edu/krzysio/like.html

My favorite quotes My Favorite Art and Entertainment Galaxy Quest (Tech Seargent Chen is My Kind of Hero) The Greatest American Hero (Clearly the best American TV show ever made, both Ralph Hinkley, a.k.a. Ralph Hanley, and Bill Maxwell are My Kind of Heroes) Crime Scene Investigation, a.k.a. C.S.I. , Gill Grissom is obviously My Kind of Hero due South (Clearly the best Canadian TV show ever made, both Benton Fraser and Ray Vecchio are My Kind of Heroes) Czterdziestolatek (Clearly, the best Polish TV show ever made, Dr. Karol Stelmach is My Kind of Hero) Chef! (Clearly, the best British TV show ever made, Gareth Blackstock is My Kind of Hero) Iron Chef (Clearly, the best Japanese TV show ever made) Monk (Captain Leland Stottlemeyer is My Kind of Hero) Nero Wolfe (Inspector Cramer is My Kind of Hero) Other People's Money (Lawrence Garfield is My Kind of Hero) Importance of Being Earnest (As far as I am concerned, the Greatest Play Ever Written, a glorious masterpiece and the greatest presentation of the essence of Western Civilization Merriman, the butler, is My Kind of Hero)

54. Category1950 Deaths - Art History Online Reference And Guide Bill Lange Harold Laski Harry Lauder Earl Lawson Albert Lebrun William Lemke Dinu Lipatti nikolai luzin http://www.arthistoryclub.com/art_history/Category:1950_deaths

55. List Of Mathematicians - Art History Online Reference And Guide nikolai Ivanovich Lobachevsky (Russia, 1792 1856) 1842 - 1891);Jan Lukasiewicz (Poland, 1878-1956); nikolai luzin (Russia, 1883-1950) http://www.arthistoryclub.com/art_history/List_of_mathematicians

56. Historia Matematica Mailing List Archive: Re: [HM] Who Invented The Idea Of An O (5) Next came the Russian mathematicians nikolai luzin and Mikhail Suslin.As a consequence of their combined work it was established, http://sunsite.utk.edu/math_archives/.http/hypermail/historia/sep99/0132.html

Re: [HM] Who invented the idea of an open set? Carlos Cesar de Araujo carlos.cesar@taskmail.com.br 20 Sep 99 20:37:25 -0400 (EDT) Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Next message: Udai Venedem: "[HM] Trajan Lalesco" Previous message: John Conway: "Re: [HM] De Longchamps Circle" I would like to elaborate a bit on the (apparent) strangeness (experienced by Bill) of the statement (1) "CH holds for closed sets". I'm far from being an expert on these matters and hope that those aficionados of descriptive set theory (or even "set theoretic real analysis") may have more to say. CH asserts that the cardinal card (IR) is the cardinal NEXT to card (IN). Formulated in this way, it is not obvious how to connect CH with statements like (1). However, CH can be stated in many different ways, the easiest being the following: (2) For every subset X of IR, CH (X), where It became well known (after Cohen's work) that one cannot prove CH (X) for EVERY set X of real numbers on the base of the traditional axioms of set theory (ZFC). However, long before that many mathematicians

57. Historia Matematica Mailing List Archive: [HM] Authors Sought F luzin, nikolai nikolaievich (18831950) Maclaurin, Colin (1698-1746) Markov,Andrei Andreevich (1856-1922) Robinson, Julia Bowman (1919-1985) 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)

58. Lorrin Wong, Bookseller At Antiqbook.com 40289 luzin, nikolai Nuclear Strategy and Common Sense 100637 LYALL, SUTHERLAND -The State of British Architecture 100484 LYLE, T. KEITH AG CROSS http://www.antiqbook.com/boox/won/books5000.shtml

Lorrin Wong, Bookseller 5924 Shenandoah Avenue, Los Angeles, CA 90056-1426, U.S.A. 310-649-1965 (T) 310-649-2693 (F) Email: wongbooks@gmail.com Search our books Search Antiqbook Search on this page Click on booknumber for full information : LESLIE, DIANE - Fleur de Leigh's Life of Crime : [SWITH, JONATHAN] LESLIE, SHANE - The Skull of Swift: An Extempore Exhumation : [SWIFT, JONATHAN] LESLIE, STEPHEN - [Jonathan] Swift : LESSER, WENDY - Pictures at an Execution: An Inquiry into the Subject of Murder : LESSING, DORRIS - The Fifth Child : LESSING, DORIS - The Good Terrorist : LESSING, DORIS - Canopus in Argos: Archives- The Making of the Representative for Planet 8 : LESSING, DORIS - Canopus in Argos: Archives: The Making of the Representative for Planet 8 : LESSING, DORIS - "The Sirian Experiments: The Report by Ambien II, of the Five" : LESSING, DORIS - "Re: Colonised Planet 5: Shikasta: Personal, Psychological, Historical Documents Relating to Visit by Johor (George Sherban), Emissary (Grade 9) 87th of the Period of the Last Days" : LESSING, DORIS -

59. Full Alphabetical Index Translate this page Lukacs, Eugene (1185*) Lukasiewicz, Jan (600*) Luke, Yudell (1143*) luzin,nikolai (2072*) Lyapunov, Aleksandr (75*) Lyndon, Roger (521*) http://www.maththinking.com/boat/mathematicians.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

60. Jonathan Kirby - Mathematical Genealogy nikolai Nikolayevich luzin Ph.D. Moscow State University 1915 Dissertation TheIntegral and Trigonometric Series. Dimitri Fedorowitsch Egorov http://users.ox.ac.uk/~magd1768/math_genealogy.shtml

My mathematical genealogy Home Academic Mathematics Music ... Links Below is my mathematical ancestry, defined by doctoral thesis supervisor, extracted from the website of the Mathematical genealogy project . Three of my ancestors had two supervisors, and twice two or three had the same supervisor, so this family tree is neither a line nor a tree. My most famous mathematical ancestor is Gauss, but it's hardly a distinguishing feature since 32% of all mathematicians in the database are his descendents. I'm not here yet, since I haven't completed my DPhil. Boris Iosifovich Zil'ber Ph.D. Novosibirsk State University 1975 Dissertation: Groups and Rings with Categorical Theories Michael Abramovich Taitslin Ph.D. Institute of Mathematics, Novosibirsk 1962 Anatolij Ivanovich Mal'tsev Ph.D. Moscow State University Andrei Nikolayevich Kolmogorov Ph.D. Moscow State University 1925 Nikolai Nikolayevich Luzin Ph.D. Moscow State University 1915 Dissertation: The Integral and Trigonometric Series Dimitri Fedorowitsch Egorov Ph.D. Moscow State University 1901

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