41. == •t‘®}‘ŠÙ‚ւ̈ړ®}‘ƒŠƒXƒg == Hafner Publishing Company @1971 @Integrales de Lebesgue Fonctions densembleClasses de Baire (2?) @C.de la vallee Poussin @Gauthier_Villars @1950 http://www.math.nara-wu.ac.jp/~math_dep/tosyo/idotosyo.html

‚±‚̃ŠƒXƒg‚́C‘åŠw‰@¶‚̍¡‰ª‚³‚ñC‹k‚‚³‚ñC´“‡‚³‚ñC‚S‰ñ¶—LŽu‚É ì¬(1998/6,7ŒŽ)‚µ‚Ä‚à‚ç‚¢‚Ü‚µ‚½D —ƒ^ƒCƒgƒ‹ —o”ÅŽÐ —o”Å”N ‚̏‡‚Ńf[ƒ^‚ª•À‚ñ‚Å‚Ü‚· —”—“ŒvŠw ‰ü’ù”Å —H“¡ O‹g —Œ»‘㐔ŠwuÀ 23 i‹¤—§o”ÅŠ”Ž®‰ïŽÐ) —1968”N —‰ðÍŠô‰½Šw —Šî‘b”ŠwuÀ i‹¤—§o”Łj —1955”N —›‰—p”Šw —ŽÄŠ_ ˜aŽO—Y —Šî‘b”ŠwuÀ i‹¤—§o”Łj —1955”N —”Šw‹³Žö–@ —¬—Ñ ‘Pˆê E ˆäã ‹`•v —Šî‘b”ŠwuÀ i‹¤—§o”Å) —1956”N —‘㐔Šw —‰œì Œõ‘¾˜Y —Šî‘b”ŠwuÀ (‹¤—§o”Łj —1955”N —ˆÊ‘Š”Šw —‰Í“c Œh‹` —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —”÷•ªŠô‰½Šw —²X–Ø d•v —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —s—ñ‚ƍs—ñŽ® —ó–ì Œ[ŽO —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1955”N —‰“™Šô‰½Šw —Ž›ã ‰pF —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —•ŸŒ´ –žB—Y —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1955”N —”ŠwŽj —’†‘º KŽl˜Y —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —‹g“c kì —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —Šm—¦‚¨‚æ‚Ñ“Œv —ŠÛŽR ‹VŽl˜Y —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —Œ÷—Í ‹à“ñ˜Y —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1956”N —Šî‘b”ŠwuÀ (‹¤—§o”Å) —1955”N —“dŽqŒvŽZ‹@“±“ü‚ÌŽèˆø —1961”N —•Êû BASIC‚ÌŠî‘b —•ÒWG•Ð‹Ë d‰„ —“Œ‹ž“d‹@‘åŠwo”Å‹Ç —1980”N —‘ŽR Œ³ŽO˜Y —“Œ‹ž‘åŠw‹¦‘go”Å•” —1950”N ŠÄC “¡‰ª —R•v —1950”N ŠÄC “¡‰ª —R•v —1950”N —œAì”ŠwƒVƒŠ[ƒY‚V ƒIƒyƒŒ[ƒVƒ‡ƒ“ƒYEƒŠƒT[ƒ`“ü–å —¼“c ³ˆê —“Œ‹žœAì‘“X —1966”N —”—“ŒvŠw —²“¡ —Ljê˜Y —1943”N —²“¡ —Ljê˜Y —1948”N —­”—ñ‚Ì‚Ü‚Æ‚ß•û ‰ü’ù”ŇT —‘ŽR Œ³ŽO˜Y —•“à‘“XVŽÐ

42. Research And Projects 5. Ram Singh Sukhjit Singh, On the partial sums, Cesaro de la vallee Poussinmeans of convex and starlike functions of order ½, Proc. Indian Acad. Sci. http://www.sliet.org/math/mathsproj.html

Research and Projects : Dr. Vinod Mishra, Sr. Lecturer, was awarded Fellowship (Post Doctoral) by Institute of Advanced Studies, Shimla from November 1999 to November 2000. Dr. V.K. Kukreja Sr. Lecturer, is having a research project from CSIR on the topic ‘Application of orthogonal collocation method for solving partial differential equation involving diffusion dispersion phenomenon’. PUBLICATIONS DR. S.S. DHALIWAL Papers in Referred Journals : Sukhjit Singh , Convolution Properties of a Class of Starlike Functions, Proc. Amer. Math. Soc., 1(106), 145-152 (1989). Sukhjit Singh Sukhjit Singh , On Starlike Functions of order Alpha,, J. Indian Math. Soc., 56, 71-75 (1991). Sukhjit Singh , A New Criterion for Close-to Convexity, J. Indian Math. Soc., 1(58), 1-3 (1992). Sukhjit Singh Sukhjit Singh Sukhjit Singh Sukhjit Singh Sushma Gupta Papers in National Conferences : Sukhjit Singh , On the partial sums of convex functions, 59 th Annual Conf. of the Indian Math. Soc. at B.B.A.Bihar Uni., Muzaffarpur (Dec 26-30, 1993). Sukhjit Singh , A subordination theorem for convex functions, 62 nd Annual Conf. of the Indian Math. Soc. at IIT, Kanpur (Dec 22-25, 1996).

43. Base Léonore - Patronymes Translate this page laVAL laVAlade laVAlaRD laVAL de laVALETTE laVALETTE de laVALEY laVAL-GUTTON laVALladelaVALlaRT laVALLE lavallee la vallee POUSSIN de laVALLETTE laVALLEY http://www.culture.fr/documentation/leonore/NOMS/nom_232.htm

Liste des patronymes LAVAGNA LAVAGNAC LAVAGNE LAVAIL ... LAYMET

44. Auteurs Translate this page 364, VATSYAYANA, . 367, VISHADANANDA, SWAMI. 414, VINSON, Julien. 434, vallee POUSSIN( de la), Louis. 475, VISSIERE, A. 486, VORdeRMAN, AG. 499, VORdeRMAN, AG. 501,VISSIERE, A. http://www.geuthner.com/auteursv.asp

Sommaire 12, Rue Vavin 75006 Paris Fax : (33) 1 43297564 Tél : (33) 1 46347130 e-mail : geuthner@geuthner.com A B C ... U V W X Y Z V N° Nom Prénom VINSON Julien VIRA Raghu ... W

45. New Books 04.06.01 51(01) V 21. la vallee Poussin , CharlesJean de. Collected works oeuvres scientifiques. lavallee Poussin, Charles-Jean de. Collected works oeuvres scientifiques. http://server.math.nsc.ru/library/2001/04-06.html

B Bhat B V Rajarama Cocycles of CCR flows Providence Amer. math. soc. 2001 VIII,114 p Memoirs of the AMS; 709 517.6 B 90 Brundan J., Dipper R., Kleshchev A. Quantum linear groups and representations of GLn(Fq) Providence Amer. math. soc 2001 VIII,112 p Memoirs of the AMS; 706 517.6 K 19 Kantor W.M., Seress A. Black box classical groups Providence Amer. math. soc. 2001 VIII,168 p Memoirs of the AMS; 708 517.6 K 81 Krause H. The spectrum of a module category Providence Amer. math. soc. 2001 VIII,125 p Memoirs of the AMS; 707 517.8 L 20 Laminations and foliations in dynamics, geometry and topology Proc. of the Conf. on laminations a. foliations in dynamics, geometry a. topology, May 18-24, 1998, SUNY at Stony Brook Ed. by Lyubich M. et al. Providence Amer. math. soc. 2001 XII,233 p Contemporary mathematics; 269 517.6 N 34 Neeman A. Triangulated categories Princeton; Oxford Princeton univ. press. 2001 VII,449 p Annals of math. studies; 148

46. All Members (main_a10) Backward. Full List of Academy Members. 1916 Foreign Mem. la valleePoussinLouis de. 1756 Foreign Mem. lacaille Nicolas-Louis de. 1892 Foreign Mem. http://hp.iitp.ru/eng/gallery/xxa_ma10.htm

Full List of Academy Members Foreign Mem. La Vallee-Poussin Louis de Foreign Mem. Lacaille Nicolas-Louis de Foreign Mem. Lacaze-Duthiers Felix-Joseph-Henri de Foreign Mem. Lachmann Karl Konrad Friedrich Foreign Mem. Lacroix Francois-Antoine-Alfred Academician Ladyzhenskaya Olga Aleksandrovna Foreign Mem. Lagarde (Boetticher) Paul Anton de Corr.Member Lagar'kov Andrey Nikolaevich Corr.Member Lagorio Aleksandr Yevgenievich (Alexander Karl Leo) Foreign Mem. Lagrange Joseph Louis de, count Corr.Member Lagus Wilhelm Foreign Mem. Lalande Le Francois Joseph-Jerom de Academician Lamanskii Vladimir Ivanovich Corr.Member Lamanskii Yevgenii Ivanovich Corr.Member Lame Gabriel Corr.Member Lamin Vladimir Aleksandrovich Foreign Mem. Landau Edmund Georg Hermann Academician Landau Lev Davidovich Foreign Mem. Landolt Hans Heinrich Academician Landsberg Grigorii Samuilovich Foreign Mem. Langevin Paul Foreign Mem. Langles Louis-Mathieu Academician Langsdorf Grigorii Ivanovich (Georg Heinrich) Foreign Mem. Lankester Edwin Ray Foreign Mem.

47. Foreign Members (main_a07) Backward. Foreign Members of the Academy. 1916 la valleePoussinLouis de (Belgium). 1756 lacaille Nicolas-Louis de (France). 1892 http://hp.iitp.ru/eng/gallery/fma_ma07.htm

Foreign Members of the Academy La Vallee-Poussin Louis de (Belgium) Lacaille Nicolas-Louis de (France) Lacaze-Duthiers Felix-Joseph-Henri de (France) Lachmann Karl Konrad Friedrich (Germany) Lacroix Francois-Antoine-Alfred (France) Lagarde (Boetticher) Paul Anton de (Germany) Lagrange Joseph Louis de, count (France) Lalande Le Francois Joseph-Jerom de (France) Lame Gabriel (France) Landau Edmund Georg Hermann (Germany) Landolt Hans Heinrich (Germany) Langevin Paul (France) Langles Louis-Mathieu (France) Langsdorf Grigorii Ivanovich (Georg Heinrich) (Germany) Lankester Edwin Ray (Great Britain) Lanman Charles Rokwell (USA) Laplace Pierre-Simon de, count, later marquis (France) Lappenberg Johann Martin (Germany) Lassen Christian (Germany) Laue Max Theodor Felix von (Germany) Laukien Guenter (German Federal Republic) Lavisse Ernest (France) Lawrence Ernest Orlando (USA) Lax Peter David (USA) Layell Charles (Great Britain) Le Cat Claude-Nicolas (France) Le Chatelier Henri-Louis (France) Le Clerc (Clerc) Nikolai Gavriil (Nicolas-Gabriel), count (France)

48. AThe Riemann Hypothesis When Hadamard and de la vallee Poussin proved the prime number theorem, they actuallyshowed for some positive constant a. The error term depended on what was description A prime pages article by Chris K. Caldwell.Category Science Math Number Theory Analytic Riemann Hypothesis http://www.utm.edu/research/primes/notes/rh.html

The Riemann Hypothesis (Another of the Prime Pages ' resources Home Search Site Largest Finding ... Submit primes Summary: When studying the distribution of prime numbers Riemann extended Euler's zeta function (defined just for s with real part greater than one) to the entire complex plane ( sans simple pole at s = 1). Riemann noted that his zeta function had trivial zeros at -2, -4, -6, ... and that all nontrivial zeros were symmetric about the line Re( s The Riemann hypothesis is that all nontrivial zeros are on this line. In 1901 von Koch showed that the Riemann hypothesis is equivalent to: The Riemann Hypothesis: Euler studied the sum for integers s >1 (clearly (1) is infinite). Euler discovered a formula relating k ) to the Bernoulli numbers yielding results such as and . But what has this got to do with the primes? The answer is in the following product taken over the primes p (also discovered by Euler): Euler wrote this as Riemann later extended the definition of s ) to all complex numbers s (except the simple pole at s =1 with residue one). Euler’s product still holds if the real part of

49. American Mathematical Monthly: October, 1997 but has always retained an aura of mystery because there were no really easy proofsthe original proofs given by Hadamard and by de la vallee Poussin in 1896 http://www.maa.org/pubs/monthly_oct97_toc.html

January February March April ... December Click on the months above to see summaries of articles in the M ONTHLY An archive for all the 1997 issues is now available American Mathematical Monthly October, 1997 Areas and Intersections in Convex Domains by Norbert Peyerimhoff peyerim@math.unibas.ch The article grew out of the author's playing around with randomly chosen line segments in a convex domain and the probability that they intersect. It turned out that this probability is connected to an old problem posed by Sylvester: What is the probability that four independently chosen points in a convex bounded domain span a quadrilateral? The author derives a surprising relationship between areas of particular subsets of an arbitrary bounded convex domain by interpreting Sylvester's probability in two different ways. He also considers a three-dimensional analogue of his original question: Assume a triangle and a line segment are chosen at random in the 3-dimensional unit ball. What is the probability that they intersect? Newman's Short Proof of the Prime Number Theorem by Don Zagier zagier@mpim-bonn.mpg.de

50. Ivars Peterson's MathLand The achievement belonged to French mathematician Jacques Hadamard (18651963) andBelgian mathematician Charles-Jean de la vallee Poussin (1866-1962), who http://www.maa.org/mathland/mathland_12_23.html

Ivars Peterson's MathLand December 23, 1996 Prime Theorem of the Century "Prime numbers have always fascinated mathematicians," Underwood Dudley of DePauw University in Indiana wrote in a 1978 textbook. "They appear among the integers seemingly at random, and yet not quite: There seems to be some order or pattern, just a little below the surface, just a little out of reach." A prime is a whole number (other than 1) that is divisible only by itself and 1. That simple definition leads to the following sequence of numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, and so on. As the numbers of the sequence increase, the intervals between primes, on the average, get longer, though in a somewhat haphazard way. In other words, primes gradually become more scarce as numbers get larger, and one can imagine that, at some point, they might run out. More than 2,000 years ago, however, the Greek mathematician Euclid proved that the sequence of primes continues forever. Suppose there is a finite number of primes, he argued. That means there's also a largest prime. Multiply all the primes together, then add 1. The new number is certainly bigger than the largest prime. If the initial assumption is correct, the new number can't be a prime. Otherwise, it would be the largest. Hence, it must be a composite number and divisible by a smaller number. However, because of the way the number was constructed, all known primes, when divided into the new number, leave a remainder of 1. Therefore, the initial assumption can't be correct, and there can be no largest prime.

51. Fishy Business And there's no doubt in my mind that Gauss would have proved the Prime Number Theoremlong before de la vallee Poussin and Hadamard if he'd been able to make http://plus.maths.org/issue12/features/casti/

PRIME NRICH PLUS Current Issue ... Subject index Issue 23: Jan 03 Issue 22: Nov 02 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 Fishy business by John L. Casti Of the myriad strategems I employ to avoid useful work, the one I most enjoy is to envision how scientists of earlier eras would have made use of modern computers and what effect it would have had on the science of their times - and ours. For example, I suspect that Newton's geometrically-based arguments for particle motion would have remained essentially untouched by the hand of the machine (although Newton might well have used a relational database to trace out the various biblical lineages that seemed to have occupied most of his time). On the other hand, it's likely that Kepler would have discovered much more than his three laws of planetary motion, perhaps even anticipating Newton's equations, had he had access to a Sun or SGI workstation. And there's no doubt in my mind that Gauss would have proved the Prime Number Theorem long before de la Vallee Poussin and Hadamard if he'd been able to make use of packages like Mathematica or Maple to study the distribution of primes.

52. Kohlenb 12391273 (1992). Effective moduli from ineffective uniqueness proofs. Anunwinding of de la vallee Poussin's proof for Chebycheff approximation. http://www.brics.dk/~kohlenb/

Ulrich Kohlenbach's homepage Ulrich Kohlenbach Associate Professor, Ph.D. Department of Computer Science, University of Aarhus Ny Munkegade, Building 540 DK-8000 Aarhus C Denmark I am also affiliated to BRICS. Phone: +45 8942 3286 Fax: +45 8942 3255 Email: kohlenb@brics.dk Office: R3.31 I got my PhD (Dr.phil.nat.) in 1990 from the Department of Mathematics of the J.W.Goethe-Universitaet Frankfurt (Germany). Also from the Department of Mathematics of the University of Frankfurt I got in 1995 I got my Habilitation (`venia legendi'). During the academic year 1996-97 I was a visiting assistant professor in the Department of Mathematics of the University of Michigan , Ann Arbor. In July 1997, I joined BRICS and since September 2000, I am associate professor at the Department of Computer Science of Aarhus University. Research Interests: Logic (in particular proof theory, computability theory and constructive reasoning) with applications to computer science and computational mathematics, computational content of proofs, proof transformations and their complexity, computable and continuous functionals of higher type, intuitionistic logic, (weak) fragments of arithmetic and analysis, computability and complexity in analysis, approximation theory, fixed point theory. Here is my CV Current teaching at BRICS International PhD School Daimi and Inst. Mathematical Sci.:

53. Introduction To Twin Primes And Brun's Constant Computation that the set of primes is infinite and a much more recent and famous result (byJacques Hadamard (18651963) and Charles-Jean de la vallee Poussin (1866-1962 description An article by Pascal Sebah with the results of computation of the twin primes up to 5.10^15.Category Science Math Number Theory Prime Numbers http://numbers.computation.free.fr/Constants/Primes/twin.html

Introduction to twin primes and Brun's constant computation (Click here for a Postscript version of this page and here for a pdf version) Introduction It's a very old fact (Euclid 325-265 B.C., in Book IX of the Elements ) that the set of primes is infinite and a much more recent and famous result (by Jacques Hadamard (1865-1963) and Charles-Jean de la Vallee Poussin (1866-1962)) that the density of primes is ruled by the law p (n) n log(n) where the prime counting function p (n) is the number of prime numbers less than a given integer n. This result proved in 1896 is the celebrated prime numbers theorem and was conjectured earlier, in 1792, by young Carl Friedrich Gauss (1777-1855) and by Adrien-Marie Legendre (1752-1833) who studied the repartition of those numbers in published tables of primes. This approximation may be usefully replaced by the more accurate logarithmic integral Li(n): p (n) Li(n)= n dt log(t) However among the deeply studied set of primes there is a famous and fascinating subset for which very little is known and has generated some famous conjectures: the twin primes (the term prime pairs was used before [ Definition 1 A couple of primes (p,q) are said to be twins if q=p+2. Except for the couple (2,3), this is clearly the smallest possible distance between two primes.

54. Lan Xang The Nonpartisan Review Of Lao Politics, Culture upper Asia. Through the Turkestans, it swept over China, Tibet, andlater the Northern Steppes and Japan. (L. de la vallee Poussin). http://www.lan-xang.com/buddhism/

Free Web site hosting - Freeservers.com BOOK REVIEW Harvesting Pa Chay's Wheat by Keith Quincy The Economics of Transition in Laos by Yves Bourdet In the Place of Origins by Rosalind C. Morris edited by Grant Evans Guidebooks to Laos by Lonely Planet, Rough Guide, Footprint Traditional Recipes of Laos by Phia Sing Chao Fa by Piriya Panasuwan Mekong: Turbulent Past, Uncertain Future by Milton Osborne A Taste of Laos by Daovone Xayavong MUSIC REVIEW Fong Naam: Ancient-Contemporary Music from Thailand Celestial Harmonies Music From Thailand and Laos ARC Music FEATURE CLASSIFIED AD Antique Lao Buddha for Sale This is an extremely rare and beautiful Lao Buddha image from the latter 16th century, probably cast in the reign of King Say Setthathirath (ruled 1548-1571)... Buddhism in Laos Introduction by Nhouy Abhay About six centuries B. C. there was at the center of Gangetic India, between Benares and Patna, a country called Magadha. Hinduism was its national creed; yet, people's minds had become restless. By the hundreds and thousands, both young and old were leaving their homes and families in search for an immortality that their traditional creed failed to give them. At that time, a sage was born, who founded a new doctrine, Buddhism, and for 40 years he taught it to enthusiastic populations.

55. Math Digest Number Theorem. The theorem was proved independently by the French mathematiciansHadamard and de la vallee Poussin. They were following http://www.ams.org/new-in-math/mathdigest/axj-prime.html

Mathematical Digest Short Summaries of Articles about Mathematics in the Popular Press "Math Puzzlers Here for Prime Time," by Bill Dietrich. Seattle Times , 14 August 1996. This article reports on a symposium held in Seattle in August 1996 to celebrate the 100th anniversary of the proof of the Prime Number Theorem. The theorem was proved independently by the French mathematicians Hadamard and de la Vallee Poussin. They were following a plan mapped out by the legendary German mathematician Riemann, who also set forth a conjecture, now known as the Riemann Hypothesis, which is connected to questions about the distribution of prime numbers among the integers. The article discusses present-day efforts to prove the Riemann Hypothesis and discusses the seemingly mysterious connection of abstract mathematics to practical applications. -Allyn Jackson

56. 1999 Denver X-ray Conference - Friday Sessions - August 2-6, 1999 950, D011, THE de la vallee POUSSIN DISTRIBUTION IN TEXTURE ANALYSIS H. Schaeben,Freiberg University of Technology and Mining, Germany. 1010, Break, http://www.dxcicdd.com/99/ses-fri.htm

48th Annual (1999) Denver X-ray Conference™ Friday, 6 August Sessions Morning Sessions only Session, Friday a.m. (Twilight) Session C-4 NON-TRADITIONAL PARADIGMS IN DATA PROCESSING Organized by: H. Wern, HTW des Saarlandes, University of Applied Sciences, Germany I.C. Noyan, IBM, Yorktown Heights, NY D-041 L. Suominen, Stresstech Oy, Jyvaskyla, Finland D. Carr, American Stress Technologies, Inc., Pittsburgh, PA D-020 H. Wern, HTW des Saarlandes, University of Applied Sciences, Germany D-008 MATHEMATICAL PROPERTIES OF DIFFRACTION POLE FIGURES H. Schaeben, Freiberg University of Technology and Mining, Germany D-011 THE DE LA VALLEE POUSSIN DISTRIBUTION IN TEXTURE ANALYSIS H. Schaeben, Freiberg University of Technology and Mining, Germany Break D-091 A NEW FUNDAMENTAL PARAMETERS APPROACH A. Coelho, A. Kern, Bruker AXS GmbH, Germany P.J. LaPuma, Bruker AXS, Inc., Madison, WI D-050 D.I. Nikolayev, V. Luzin, T. Lychagina, Joint Institute for Nuclear Research, Russia

57. Help On BibTeX Names Here's another example Charles Louis Xavier Joseph de la vallee Poussin . Thisname has four tokens in the First part, two in the von, and two in the last. http://nwalsh.com/tex/texhelp/bibtx-23.html

Names The text of an author or editor field represents a list of names. The bibliography style determines the format in which the name is printed: whether the first name or last name appears first, if the full first name or just the first initial is used, etc. The bibliography file entry simply tells BibTeX what the name is. You should type an author's complete name and let the bibliography style decide what to abbreviate. (But an author's complete name may be "Donald~E. Knuth" or even "J.~P.~Morgan"; you should type it the way the author would like it to appear, if that's known.) Most names can be entered in the obvious way, either with or without a comma, as in the following examples. "John Paul Jones" "Jones, John Paul" "Ludwig von Beethoven" "von Beethoven, Ludwig" Some people have multiple last names - for example, Per Brinch Hansen's last name is Brinch~Hansen. His name should be typed with a comma: "Brinch Hansen, Per" To understand why, you must understand how BibTeX handles names (for what follows, a "name" corresponds to a person).

58. Université D'Évry : Département De Mathématiques vallee POUSSIN Les nouvelles méthodesde la théorie du potentiel généralisé du potentiel et de .. http://www.maths.univ-evry.fr/bibliotheque/biblio_brelot.html

AUTEURS TITRES 1 ABBOTT Trends in lattice theory P 4069 3 AHLFORS Rieman surfaces P 4273 4 AHLFORS Complex analysis an introduction to the theory of analytic P 4283 6 ALMGREN Plateau Problem P 6102 7 ANANDAM Recherches sur la theorie axiomatique du potentiel P 4355 8 ANGER Funktional analytische betrachtungen bei differential gleichungein unter verwendung .... P 4297 9 ANGER Mehrdimensionale integration P 4326 10 ANGER Funktional analytische betrachtungen bei differential gleichungein unter verwendung .... P 4324 20 BAUER Markoffsche prozesse 1963 P 4275 22 BAUER Probability theory and elements of measure theory P 4104 26 BEGHIN Statistique et dynamique P 4243 27 BEHRENS Algebren p 4195 28 BERG Potential theory on localy compact abelian groups p 4269 29 BERGMAN The kernel function and conformal mapping P 4182 32 BIEBERBACH Analytische geometrie P 4251 33 BIEBERBACH Lehrbuch der funktionen theorie P 4282 34 BLANC Les equations differentielles de la technique P 6030 36 BLIEDTNER Potential theory: an analytic and probabilistic approach to balayage P 4033 39 BLUMENTHAL Markov processes and potential theory P 4065 40 BOBOC Order and convexity in potential theory P 4197 44 BOREL Les nombres inaccessibles P 4062 48 BRACONNIER Fonctions d'une variable complexe P 6105 50 BRELOT Lectures on potential theory P 4023 53 BRELOT Axiomatique des fonctions harmoniques P 4022 54 BRELOT On topologies and boundaries in potential theory X 2 P 4019 55 BRELOT Lectures on potential theory P 4036 56 BREMERMANN Distributions complex variables and Fourier transforms P 6041

59. Opgave E Nederlands Kampioenschap Programmeren 1996 (1896 Hadamard/de la vallee Poussin), maar dat zegt niets over het exacteaantal priemgetallen in een gegeven segment van de positieve getallen. http://ch.its.tudelft.nl/~chipcie/archief/problems/html/1996/nkp/nk96opge.html

NK Programmeren 1996 PRIEMWOESTIJNEN Opgave E (1896: Hadamard/De la Vallee Poussin), maar dat zegt niets over het exacte aantal priemgetallen in een gegeven segment van de positieve getallen. Er zijn situaties waar twee priemgetallen zeer dicht tegen elkaar aan liggen, de zogenaamde priemtweelingen. Een priemtweeling is een paar (p, p+2) waarbij p en p+2 beide priem zijn. Hoeveel priemtweelingen er zijn is nog steeds niet bewezen, maar alles wijst erop dat het er oneindig veel zijn. Omgekeerd zijn er lange segmenten van de natuurlijke getallen die geen enkel priemgetal bevatten; [1330 .. 1360] is zo'n segment. Een dergelijk segment noemen we een priemwoestijn. Invoer De invoer begint met een getal N, het aantal testgevallen. Hierna volgen N regels die ieder twee getallen x en y bevatten. Uitvoer Voor ieder testgeval dient de volgende regel uitgevoerd te worden: [a .. b ] is de eerste priemwoestijn. waarbij a en b=a+y door de juiste getallen vervangen moeten worden. Voorbeeldinvoer Voorbeelduitvoer [1070 .. 1079] is de eerste priemwoestijn.

60. Www.math.niu.edu/~rusin/known-math/99/hist_integ A special chapter is devoted to the work of Lebesgue and his immediatesuccessors (Vitali, Fubini, de la vallee Poussin). There http://www.math.niu.edu/~rusin/known-math/99/hist_integ

From: Bill Dubuque Subject: Re: I am losing my math ability... Date: 08 May 1999 03:19:27 -0400 Newsgroups: sci.math Hankel O'Fung

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