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RM Calendar 2014 Rudi Mathematici x4–8224x3+25360856 x2–34775906944 x+17860393921680=0 www.rudimathematici.com 1 W (1803) Guglielmo Libri Carucci dalla Sommaja RM132 (1878) Agner Krarup Erlang Rudi Mathematici (1894) Satyendranath Bose RM168 (1912) Boris Gnedenko 2 T (1822) Rudolf Julius Emmanuel Clausius (1905) Lev Genrichovich Shnirelman (1938) Anatoly Samoilenko 3 F (1917) Yuri Alexeievich Mitropolsky January 4 S (1643) Isaac Newton RM071 5 S (1723) Nicole-Reine Etable de Labrière Lepaute (1838) Marie Ennemond Camille Jordan (1871) Federigo Enriques RM084 Putnam 1999, A1 (1871) Gino Fano Find polynomials f(x) , g(x) and h(x) , if they exist, such 2 6 M (1807) Jozeph Mitza Petzval that for all x: (1841) Rudolf Sturm −1 if x −< 1 7 T (1871) Felix Edouard Justin Emile Borel |()xf |− | ( ) | ( )=xh+xg 3x + 2 if 1 x ≤≤− 0 (1907) Raymond Edward Alan Christopher Paley − 2x + 2 if x > 0 8 W (1888) Richard Courant RM156 (1924) Paul Moritz Cohn (1942) Stephen William Hawking The Amazing U 9 T (1864) Vladimir Adreievich Steklov “Has anyone had problems with the computer (1915) Mollie Orshansky accounts?” 10 F (1875) Issai Schur “Yes, I don’t have one.” (1905) Ruth Moufang “Okay, you can send mail to one of the tutors...” 11 S (1545) Guidobaldo del Monte RM120 - E. D'Azevedo Computer Science 372 (1707) Vincenzo Riccati (1734) Achille Pierre Dionis du Sejour Weird, but true 12 S (1906) Kurt August Hirsch The First Law of Applied Mathematics: All infinite series (1915) Herbert Ellis Robbins RM156 converge, and moreover converge to the first term. 3 13 M (1864) Wilhelm Karl Werner Otto Fritz Franz Wien (1876) Luther Pfahler Eisenhart (1876) Erhard Schmidt Wir müssen wissen. Wir werden wissen. (We must know. (1902) Karl Menger We will know). 14 T (1902) Alfred Tarski RM096 [Speech in Königsberg in 1930, now on his tomb in 15 W (1704) Johann Castillon Göttingen] (1717) Mattew Stewart David Hilbert (1850) Sofia Vasilievna Kovalevskaja RM144 16 T (1801) Thomas Klausen Galileo was no idiot. Only an idiot could believe that 17 F (1647) Catherina Elisabetha Koopman Hevelius science requires martyrdom – that may be necessary in (1847) Nikolay Egorovich Zukowsky religion, but in time a scientific result will establish (1858) Gabriel Koenigs itself. 18 S (1856) Luigi Bianchi David Hilbert (1880) Paul Ehrenfest 19 S (1813) Rudolf Friedrich Alfred Clebsch (1879) Guido Fubini The reader will find no figures in this work. The (1908) Aleksandr Gennadievich Kurosh methods which I set forth do not require either 4 20 M (1775) André Marie Ampère constructions or geometrical or mechanical reasonings: (1895) Gabor Szegő but only algebraic operations, subject to a regular and (1904) Renato Caccioppoli RM072 uniform rule of procedure. 21 T (1846) Pieter Hendrik Schoute Joseph-Louis Lagrange (1915) Yuri Vladimirovich Linnik 22 W (1592) Pierre Gassendi We lay down a fundamental principle of generalization (1886) John William Navin Sullivan by abstraction: “The existence of analogies between (1908) Lev Davidovich Landau RM063 central features of various theories implies the existence 23 T (1840) Ernst Abbe of a general theory which underlies the particular (1862) David Hilbert RM060 theories and unifies them with respect to those central 24 F (1891) Abram Samoilovitch Besicovitch features....” (1914) Vladimir Petrovich Potapov Eliakim Hastings Moore 25 S (1627) Robert Boyle (1736) Joseph-Louis Lagrange RM048 (1843) Karl Hermann Amandus Schwarz Mathematical study and research are very suggestive of 26 S (1799) Benoît Paul Émile Clapeyron mountaineering. Whymper made several efforts before (1862) Eliakim Hastings Moore he climbed the Matterhorn in the 1860's and even then 5 27 M (1832) Charles Lutwidge Dodgson RM108 it cost the life of four of his party. Now, however, any 28 T (1701) Charles Marie de La Condamine tourist can be hauled up for a small cost, and perhaps (1888) Louis Joel Mordell does not appreciate the difficulty of the original ascent. (1892) Carlo Emilio Bonferroni So in mathematics, it may be found hard to realise the 29 W (1817) William Ferrel great initial difficulty of making a little step which now (1888) Sidney Chapman seems so natural and obvious, and it may not be 30 T (1619) Michelangelo Ricci surprising if such a step has been found and lost again. 31 F (1715) Giovanni Francesco Fagnano dei Toschi Louis Joel Mordell (1841) Samuel Loyd (1896) Sofia Alexandrovna Janowskaja (1945) Persi Warren Diaconis (1900) John Charles Burkill (1522) Lodovico Ferrari www.rudimathematici.com 1 S (1900) John Charles Burkill 2 S (1522) Lodovico Ferrari Rudi Mathematici (1893) Cornelius Lanczos (1897) Gertrude Blanch 6 3 M (1893) Gaston Maurice Julia RM073 4 T (1905) Eric Cristopher Zeeman 5 W (1757) Jean Marie Constant Duhamel 6 T (1465) Scipione del Ferro RM064 February (1612) Antoine Arnauld (1695) Nicolaus (II) Bernoulli RM093 7 F (1877) Godfried Harold Hardy RM049 Putnam 1999, A2 (1883) Eric Temple Bell 8 S (1700) Daniel Bernoulli RM093 Let p(x) be a polynomial that is nonnegative for all real (1875) Francis Ysidro Edgeworth x. Prove that for some k, there are polynomials f1(x), …, (1928) Ennio de Giorgi RM133 fk(x) such that: k 9 S (1775) Farkas Wolfgang Bolyai ()()()2 =xp ∑ j xf (1907) Harold Scott Macdonald Coxeter RM097 =j 1 7 10 M (1747) Aida Yasuaki RM121 (1932) Vivienne Malone-Mayes 11 T (1657) Bernard Le Bovier de Fontenelle The Amazing U (1800) William Henry Fox Talbot “If that makes any sense to you, you have a big (1839) Josiah Willard Gibbs problem.” (1915) Richard Wesley Hamming - C. Durance Computer Science 234 12 W (1914) Hanna Caemmerer Neumann (1921) Kathleen Rita Mcnulty Mauchly Antonelli Weird, but true 13 T (1805) Johann Peter Gustav Lejeune Dirichlet RM145 There are two groups of people in the world: those who believe 14 F (1468) Johann Werner that the world can be divided into two groups of people, and (1849) Hermann Hankel those who don’t. (1877) Edmund Georg Hermann Landau RM063 (1896) Edward Artur Milne 15 S (1564) Galileo Galilei RM085 It is the perennial youthfulness of mathematics itself (1850) Sophie Willock Bryant which marks it off with a disconcerting immortality (1861) Alfred North Whitehead from the other sciences. (1946) Douglas Hofstadter Eric Temple Bell 16 S (1822) Francis Galton (1853) Gregorio Ricci-Curbastro “Obvious” is the most dangerous word in mathematics. (1903) Beniamino Segre Eric Temple Bell 8 17 M (1890) Sir Ronald Aylmer Fisher (1891) Adolf Abraham Halevi Fraenkel (1905) Rózsa Péter Finally we shall place the Sun himself at the center of 18 T (1404) Leon Battista Alberti RM157 the Universe. All this is suggested by the systematic (1919) Clifford Truesdell procession of events and the harmony of the whole 19 W (1473) Nicolaus Copernicus Universe, if only we face the facts, as they say, ‘with both 20 T (1844) Ludwig Boltzmann RM061 eyes open’. 21 F (1591) Girard Desargues Nicolaus Copernicus (1915) Evgeny Michailovich Lifshitz 22 S (1857) Heinrich Rudolf Hertz Mathematicians are like lovers. Grant a mathematician (1903) Frank Plumpton Ramsey the least principle, and he will draw from it a 23 S (1583) Jean-Baptiste Morin consequence which you must also grant him, and from (1922) Anneli Cahn Lax this consequence another. (1951) Shigefumi Mori Bernard Le Bovier De Fontenelle (1561) Henry Briggs RM169 9 24 M (1871) Felix Bernstein 25 T (1827) Henry Watson Does anyone believe that the difference between the 26 W (1786) Dominique Francois Jean Arago Lebesgue and Riemann integrals can have physical significance, and that whether say, an airplane would 27 T (1881) Luitzen Egbertus Jan Brouwer or would not fly could depend on this difference? If such 28 F (1735) Alexandre Theophile Vandermonde were claimed, I should not care to fly in that plane. 29 (1860) Herman Hollerith RM109 Richard Wesley Hamming www.rudimathematici.com 1 S (1611) John Pell (1879) Robert Daniel Carmichael Rudi Mathematici 2 S (1836) Julius Weingarten 10 3 M (1838) George William Hill (1845) Georg Cantor RM062 (1916) Paul Richard Halmos 4 T (1822) Jules Antoine Lissajous 5 W (1512) Gerardus Mercator March (1759) Benjamin Gompertz (1817) Angelo Genocchi (1885) Pauline Sperry Putnam 1999, A3 (1915) Laurent Schwartz Consider the power series expansion: (1931) Vera Pless 1 ∞ 6 T (1866) Ettore Bortolotti = xa n − − 2 ∑ n 7 F (1792) William Herschel RM146 1 2x x =n 0 (1824) Delfino Codazzi Prove that, for each integer n≥0, there is an integer m 2 2 (1922) Olga Alexandrovna Ladyzhenskaya such that a n + a n+1 = am. 8 S (1851) George Chrystal 9 S (1818) Ferdinand Joachimsthal The Amazing U (1900) Howard Hathaway Aiken “Let’s make ethanol green this afternoon.” 11 10 M (1864) William Fogg Osgood - R. Friesen Chemistry 124 (1872) Mary Ann Elizabeth Stephansen 11 T (1811) Urbain Jean Joseph Le Verrier (1853) Salvatore Pincherle Weird, but true (1870) Louis Bachelier RM158 Theorem: All the numbers are boring Proof (by contradiction): 12 W (1685) George Berkeley Suppose x is the first non-boring number. Who cares? (1824) Gustav Robert Kirchhoff (1859) Ernesto Cesaro He who can digest a second or third fluxion, a second or 13 T (1861) Jules Joseph Drach third difference, need not, we think, be squeamish about (1957) Rudy D'Alembert any point of divinity. 14 F (1864) Jozef Kurschak George Berkeley (1879) Albert Einstein RM074 (1904) Lyudmila Vsevolodovna Keldysh 15 S (1860) Walter Frank Raphael Weldon If I found any new truths in the sciences, I can say that (1868) Grace Chisolm Young they follow from, or depend on, five or six principal 16 S (1750) Caroline Herschel RM146 problems which I succeeded in solving and which I regard (1789) Georg Simon Ohm as so many battles where the fortunes of war were on my (1846) Magnus Gosta Mittag-Leffler side.
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