1. Biography mikhail krawtchouk Short Biography. See also M. krawtchouk (18921942).Professor of Mathematical Statistics by Eugene Seneta html http://www.geocities.com/orthpol/biogr.html

Mikhail Krawtchouk: Short Biography See also: M. Krawtchouk (1892-1942). Professor of Mathematical Statistics by Eugene Seneta html version (22K) or pdf version The number of classical orthogonal polynomials systems of a discrete variable is highly restricted, hence each discoverer of such an OPS deserves to be known to the scientific community not only as a mathematician but also as an individual. That's why it is very strange to find only some morsels of information about the author of Sur une generalisation des polynomes d'Hermite published in 1929 which initiated a new stage in the theory of orthogonal polynomials. The reason is both simple and tragic. Mykhailo Pilipovich (in Ukrainian; in Russian his name is sounded Mikhail Philippovich) Krawtchouk was born on September 27, 1892 in the small village of Chovnitsy (Western Ukraine). After graduating from gymnasium he entered Kiev St. Vladimir University , obtaining his first diploma degree in 1914 - on the eve of the First World War. Thus the young mathematician had to move to Moscow because of the University evacuation. On September 5, 1917 he gave his first lecture. After the 1917 revolution, M. Krawtchouk worked in various Kiev universities, institutes, gymnasia, then for two years of the civil war (1919-1921) he was the head of a rural school near Kiev.

2. PhysicsWeb - Resources - Reference/Data And Constants krawtchouk Polynomials Home Page mikhail krawtchouk Kravchuk biography, list of publications. krawtchouk Polynomials http://physicsweb.org/resources/Reference/Data_and_constants

Advanced site search resources Resources home What's new Add a link Edit my links ... Advanced resource search quick search Search resources iop resources Search journals Search books IOP Select PEERS ... Reference links in this category 3-D Crystal Structures Acoustooptics database - Site contains information about basic acoustooptics consepts, devices, materials and literature dedicated to this area of physics. - G.Imbalzano - "La "struttura fine" è una costante termodinamica?" AIF1996 - SIF1998 ABSTRACT. The value of the constant "alpha" is deduced as statistical limit, compatibily with the quantistic hypotesis E=hf and a slight interaction among electric charges. Under these circumstances, in the given system of measure, the Planks constant h= q^2/2c.eps.alpha should assume the slightest value as far possible. jmbalzan@iol.it G.Imbalzano - Moncalieri - ITALY. - The Statistics Division of the American Institute of Physics conducts research and provides survey services. Within the research portion of our mission, we collect, analyze and disseminate data on education and employment in physics and related fields. Astronomical Data Center ADC Astrophysics Data Facility ADF Atomic Mass Data Center - The AMDC and its electronic bulletin aim at being a meeting place where information on masses experimental, evaluation or theory can be exchanged. All those working on topics related to atomic masses can thus keep the community informed on the latest developments of their own work.

3. Zeal.com - United States - New - Library - Sciences - Mathematics - Algebra & Ca krawtchouk, mikhail http//www.geocities.com/orthpol/biogr.html Find out aboutthe life of mathematician mikhail krawtchouk, whose work initiated a new stage http://www.zeal.com/category/preview.jhtml?cid=56601

4. Krawtchouk Portrait Portrait of mikhail krawtchouk mikhail krawtchouk. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Krawtchouk.html

Mikhail Krawtchouk JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Krawtchouk.html

5. Krawtchouk There are many different transliterations of mikhail krawtchouk's name,the forms Kravchuk and Krawtschuk also being used. The form http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Krawtchouk.html

Mykhailo Pilipovich Krawtchouk Born: 27 Sept 1892 in Chovnitsy, Ukraine Died: 9 March 1942 in Kolyma, Siberia, USSR Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index There are many different transliterations of Mikhail Krawtchouk 's name, the forms Kravchuk and Krawtschuk also being used. The form used here "Krawtchouk" is the spelling used in the papers which he wrote in French. Krawtchouk studied at St Vladimir University in Kiev and obtained his first degree in 1914. The First World War broke out shortly after Krawtchouk graduated and because of problems at Kiev University he had to move to Moscow. However, it was a time of severe political problems with one disruption following another for Krawtchouk. In 1917 the Bolsheviks seized power in St Petersburg and fighting broke out in Moscow. Bolshevik power was soon firmly established and Krawtchouk returned to Kiev. For two years Krawtchouk taught in a number of different institutions until the outbreak of the civil war. This was not an easy period for, in January 1918, an independent Ukrainian state was proclaimed with Kiev as its capital. Red Army troops entered Kiev in the following month. Later in 1918 an independent Ukraine was again declared in Kiev but there followed a series of struggles between Ukrainian nationalist, White, and Red forces. In November 1919 Kiev was briefly taken by the White armies before being occupied by the Red Army. There was still no peace in Kiev for, in May 1920 the Poles captured Kiev but were driven out in a counterattack. During this stormy period Krawtchouk was headmaster at a country school not far from Kiev.

6. K Index Translate this page Korteweg, Diederik (193*) Kotelnikov, Aleksandr (412) Kovalevskaya, Sofia (1283*)Kramer, Edna (1892) Kramp, Christian (219) krawtchouk, mikhail (703*) Krein http://www-gap.dcs.st-and.ac.uk/~history/Indexes/K.html

Names beginning with K The number of words in the biography is given in brackets. A * indicates that there is a portrait. Kac , Mark (1697*) Kaestner , Abraham (525*) Kagan , Benjamin (343) Kakutani , Shizuo (937*) Kaluza , Theodor (699*) Kaluznin , Lev (2243*) Kamalakara Kamal , al-Farisi (1102) Kamil Abu Shuja (1012) Kantorovich , Leonid (632*) Kaplansky , Irving (1027*) Karaji , Abu al (1789) Karkhi al (1789) , Theodore von (202*) Karp , Carol (605*) Kashi , Ghiyath al (1725*) Katyayana Keen , Linda (895*) Keill , John (207) Kelland , Philip (650*) Kellogg , Oliver (566) Kelvin , Lord (Thomson) (2613*) Kemeny , John (852*) Kempe , Alfred (131*) Kendall, David Kendall, Maurice Kepler , Johannes (3690*) Keynes , John Maynard (2206*) Khalili , Shams al (677) Khayyam , Omar (2140*) Khazin , Abu Jafar al (1148) Khinchin , Aleksandr (1018*) Khujandi , Abu al (713) Khwaja-yi Khwaja , Nasir (1912) Khwarizmi , Abu al- (2847*) Killing , Wilhelm (306*) Kindi , Abu al (1151) Kingman , John (1632*) Kirchhoff , Gustav (1523*) Kirkman , Thomas (1045*) Kleene , Stephen (328*) Klein , Felix (2014*) Klein , Oskar (2294*) Klingenberg , Wilhelm (511*) Kloosterman , Hendrik (776*) , Georg (415) Kneser, Adolf

7. Orthogonal P Olynomials And Sp Ecial F Unctions is sounded mikhail Philippovich) krawtchouk was born. on September 27, 1892 in the small village of Chovnitsy http://www.mathematik.uni-kassel.de/~koepf/Siamnews/7-3.pdf

8. Welcome To GJSentinel! krawtchouk, mikhail Find out about the life of mathematician mikhail krawtchouk,whose work initiated a new stage in the theory of orthogonal polynomials. http://www.gjsentinel.com/news/cgi/cim/cgi-bin/looksmart/looksmart/egjt176954/eu

SEARCH: GJSentinel Web Tell me how to: Buy a subscription Buy a print ad Buy an online ad Reach newsroom ... Set my homepage Web Directory: Results Library Sciences Mathematics Algebra Online Allows students, teachers, and parents throughout the world to talk algebra. Find free private tutoring, a message board, and live chat. 1Up Info - Algebra, in Mathematics Resource covers the principles of classical and modern Algebra. Read the definition of Algebra, a branch of Mathematics. 1Up Info - Calculus, in Mathematics Educates about differential calculus and integral calculus. Follow links to details on analysis, trigonometry, physicist Isaac Newton, and mathematician G. W. Leibniz. Abstract Algebra Resource geared towards upper-level undergraduates covers integers, functions, groups, Galois theory, rings, modules and fields. Algebraic Number Theory Archives Access the preprint archives for papers in algebraic number theory and arithmetic geometry. Includes submission instructions. Alvirne High School - AP Calculus Problem of the Week Problems presented by Alvirne High School students and guests as they prepare for the Advanced Placement exam in Calculus.

9. SIAM AG On Orthogonal Polynomials And Special Functions Mykhailo Pilipovich (in Ukrainian; in Russian his name is sounded mikhail Philippovich)krawtchouk was born on September 27, 1892 in the small village of http://gams.nist.gov/opsf/reports/kiev.html

SIAM AG on Orthogonal Polynomials and Special Functions OP-SF WEB Extract from OP-SF NET From: Vadim I. Zelenkov ( zelenkov@gray.isir.minsk.by ) and Vadim A. Savva ( savva@dragon.bas-net.by Subject: VI International Krawtchouk Conference: Kiev, Ukraine, May 14-17, 1997 The number of classical orthogonal polynomials systems of a discrete variable is highly restricted, hence each discoverer of such an OPS deserves to be known to the scientific community not only as a mathematician but also as an individual. That's why it is very strange to find only some morsels of information about the author of published in 1929 which initiated a new stage in the theory of orthogonal polynomials. The reason is both simple and tragic. Mykhailo Pilipovich (in Ukrainian; in Russian his name is sounded Mikhail Philippovich) Krawtchouk was born on September 27, 1892 in the small village of Chovnitsy (Western Ukraine). After graduating from gymnasium he entered Kiev St. Vladimir University, obtaining his first diploma degree in 1914-on the eve of the First World War. Thus the young mathematician had to move to Moscow because of the University evacuation. On September 5, 1917 (80 years ago) he gave his first lecture. After the 1917 revolution, M. Krawtchouk worked in various Kiev universities, institutes, gymnasia, then for two years of the civil war (1919-1921) he was the head of a rural school near Kiev.

10. WhoWasThere Reply this year and would die in a further 35 years. mikhail krawtchouk was 48 this year and would die in a further 2 years. http://www-history.mcs.st-and.ac.uk/history/cgi-bin/mathyear.cgi?YEAR=1940

11. Krawtchouk Portrait mikhail krawtchouk. JOC/EFR February 2000 The URL of this page is http://www.math.hcmuns.edu.vn/~algebra/history/history/PictDisplay/Krawtchouk.ht

12. Research Publications E (2001) mikhailo Pylypovich Kravchuk (or krawtchouk), Statisticians of the centuries. as probabilist, Mykhailo Ostrohrads'kyi (mikhail Ostrogradsky), Honoring his bicentenary. http://talus.maths.usyd.edu.au:8000/u/pubs/publist/pubs2001.html

University of Sydney Research Publications Summary Data Research Publications for 2001 Books Statisticians of the Centuries. Heyde CC and Seneta E (ed.), Springer-Verlag, New York, ISBN 0-387-95329-9, 500 pages . Phipps MC and Quine MP A Primer of Statistics: Data Analysis, Probability, Inference. Fourth Edition, Cath Godfrey (ed.), Prentice Hall, Sydney, ISBN 1 74009 626 6, 154 pages . Chapters in Books Seneta E (2001) Commentary on de La Vallee Poussin's papers on Bernoulli's theorem in probability theory, Charles-Jean de La Vallee Poussin, Collected works 42. Dewey ME and Seneta E (2001) Carlo Emilio Bonferroni, Statisticians of the centuries. Springer, New York, USA, ISBN 0-387-95329-9, 411-414. Heath P and Seneta E (2001) George Boole, Statisticians of the centuries. Springer, New York, USA, ISBN 0-387-95329-9, 167-170. Phipps MC and Hadzi-Pavlovic D (2001) Meaningful Categories, Health Research. Oxford University Press, Victoria, Australia, ISBN 19 551218 9, 95-128. Seneta E (2001) Pierre de Fermat

13. K Index Translate this page Leo (389*) Korteweg, Diederik (193) Kotelnikov, Aleksandr (412) Kovalevskaya, Sofia(1283*) Kramp, Christian (219) krawtchouk, mikhail (703*) Krein, Mark (1271 http://www.math.hcmuns.edu.vn/~algebra/history/history/Indexes/K.html

14. Mostra Eventos Da Data Selecionada Translate this page matemático polonês) 24/09/1901 - Nascimento de mikhail Vasilevich Ostrogradski 09/1892- Nascimento de Mykhailo Pilipovich krawtchouk (matemático ucraniano http://www.ponteiro.com.br/mostrad8.php?w=13&pg=8

15. Famous Ukrainians The site provides links and comments to famous people of Ukrainian ancestry, particularly those known Category Regional Europe Ukraine Guides and Directories...... 1. http//mason.gmu.edu/~ikatcha1/krawtchouk.html 2. Kravchuk Encyclopedia 3. KravchukPolynomials Home Page. Other mathematicians. mikhail Tugan Baranovsky. http://www2.uwindsor.ca/~hlynka/ukfam.html

16. Research Publications E (2001) mikhailo Pylypovich Kravchuk (or krawtchouk), Statisticians of Ostrogradskyas probabilist, Mykhailo Ostrohrads'kyi (mikhail Ostrogradsky), Honoring http://www.maths.usyd.edu.au:8000/u/pubs/publist/pubs2001.html

University of Sydney Research Publications Summary Data Research Publications for 2001 Books Statisticians of the Centuries. Heyde CC and Seneta E (ed.), Springer-Verlag, New York, ISBN 0-387-95329-9, 500 pages . Phipps MC and Quine MP A Primer of Statistics: Data Analysis, Probability, Inference. Fourth Edition, Cath Godfrey (ed.), Prentice Hall, Sydney, ISBN 1 74009 626 6, 154 pages . Chapters in Books Seneta E (2001) Commentary on de La Vallee Poussin's papers on Bernoulli's theorem in probability theory, Charles-Jean de La Vallee Poussin, Collected works 42. Dewey ME and Seneta E (2001) Carlo Emilio Bonferroni, Statisticians of the centuries. Springer, New York, USA, ISBN 0-387-95329-9, 411-414. Heath P and Seneta E (2001) George Boole, Statisticians of the centuries. Springer, New York, USA, ISBN 0-387-95329-9, 167-170. Phipps MC and Hadzi-Pavlovic D (2001) Meaningful Categories, Health Research. Oxford University Press, Victoria, Australia, ISBN 19 551218 9, 95-128. Seneta E (2001) Pierre de Fermat

17. Publications Of E Seneta (Sydney Mathematics & Statistics) Seneta E mikhailo Pylypovich Kravchuk (or krawtchouk), Statisticians of Ostrogradskyas probabilist, Mykhailo Ostrohrads'kyi (mikhail Ostrogradsky), Honoring http://www.maths.usyd.edu.au:8000/s/pub-seek?aux=Seneta E&show=50

18. Probability Abstract Service The measures obtained, eg the krawtchouk and Hahn ensembles, have the same structureas mikhail Gordin and Michel Weber As an extension of earlier papers on http://www.math.washington.edu/~prob/Letters/letter_60.shtml

Probability Abstracts 60 This document contains abstracts 1626-1665. They have been mailed on December 31, 2000. CRITICAL BEHAVIOR OF THE MASSLESS FREE FIELD AT THE DEPINNING TRANSITION Erwin Bolthausen and Yvan Velenik We consider the d-dimensional massless free field localized by a delta-pinning of strength e. We study the asymptotics of the variance of the field, and of the decay-rate of its 2-point function, as e goes to zero, for general Gaussian interactions. Physically speaking, we thus rigorously obtain the critical behavior of the transverse and longitudinal correlation lengths of the corresponding d+1-dimensional effective interface model in a non-mean-field regime. We also describe the set of pinned sites at small e, for a broad class of d-dimensional massless models. velenik@cmi.univ-mrs.fr This article is available from the xxx mathematics archive as math.PR/0010291 UNBIASED FINITE PLANAR GRAPHS ARE ASYMPTOTICALLY RECURRENT Itai Benjamini and Oded Schramm Suppose that $G_j$ is a sequence of finite connected planar graphs, and in each $G_j$ a special vertex, called the root, is chosen randomly-uniformly. We introduce the notion of a distributional limit $G$ of such graphs. Assume that the vertex degrees of the vertices in $G_j$ are bounded, and the bound does not depend on $j$. Then after passing to a subsequence, the limit exists, and is a random rooted graph $G$. We prove that with probability one $G$ is recurrent. The proof involves the Circle Packing Theorem. The motivation for this work comes from the theory of random spherical triangulations. schramm@microsoft.com

19. Mathem_abbrev Hermann Kolmogorov, Andrey König, Samuel Kovalevskaya, Sofia krawtchouk, MykhailKrein Omar Khayyam Ortega, Juan de, Ostrogradski, mikhail Oughtred, William. 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.

20. NA Digest, V. 96, # 07 METHODS ON GENERAL GRIDS CRC Press, January 1996 mikhail Shashkov, Los Fitzgerald(Carbondale, Illinois) The Spectrum of Symmetric krawtchouk Matrices 121 Tuch http://www.netlib.org/na-digest/html/96/v96n07.html

NA Digest Sunday, February 18, 1996 Volume 96 : Issue 07 Today's Editor: Cleve Moler The MathWorks, Inc. moler@mathworks.com Today's Topics: Variation on the Harmonic Series Question Mathematical Model for Volterra-Fredholm Equations A Second Order ODE New Book of Finite-Volume Methods ... Contents, Linear Algebra and its Applications Submissions for NA Digest: Mail to na.digest@na-net.ornl.gov. Information about NA-NET: Mail to na.help@na-net.ornl.gov. URL for the World Wide Web: http://www.netlib.org/na-net/na_home.html Date: Sun, 11 Feb 96 12:47:05 -0500 Subject: Variation on the Harmonic Series Question For an amusing variation on the quiz question presented by John C. Nash, pick any integer between and 9. Call this integer M. Remove every term from the harmonic series that contains M as one of the digits in the denominator. For example, if M = 3, then remove 1/3, 1/13, 1/23, 1/30, 1/31, ... What is the behavior of the remaining series o in the real numbers? o on a computer? Walter Poor, The MITRE Corporation Date: Mon, 12 Feb 1996 13:56:27 +0100

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