Notices of the American Mathematical Society
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Unrestricted Immigration and the Foreign Dominance Of
Unrestricted Immigration and the Foreign Dominance of United States Nobel Prize Winners in Science: Irrefutable Data and Exemplary Family Narratives—Backup Data and Information Andrew A. Beveridge, Queens and Graduate Center CUNY and Social Explorer, Inc. Lynn Caporale, Strategic Scientific Advisor and Author The following slides were presented at the recent meeting of the American Association for the Advancement of Science. This project and paper is an outgrowth of that session, and will combine qualitative data on Nobel Prize Winners family histories along with analyses of the pattern of Nobel Winners. The first set of slides show some of the patterns so far found, and will be augmented for the formal paper. The second set of slides shows some examples of the Nobel families. The authors a developing a systematic data base of Nobel Winners (mainly US), their careers and their family histories. This turned out to be much more challenging than expected, since many winners do not emphasize their family origins in their own biographies or autobiographies or other commentary. Dr. Caporale has reached out to some laureates or their families to elicit that information. We plan to systematically compare the laureates to the population in the US at large, including immigrants and non‐immigrants at various periods. Outline of Presentation • A preliminary examination of the 609 Nobel Prize Winners, 291 of whom were at an American Institution when they received the Nobel in physics, chemistry or physiology and medicine • Will look at patterns of -
The Multivariate Moments Problem: a Practical High Dimensional Density Estimation Method
National Institute for Applied Statistics Research Australia University of Wollongong, Australia Working Paper 11-19 The Multivariate Moments Problem: A Practical High Dimensional Density Estimation Method Bradley Wakefield, Yan-Xia Lin, Rathin Sarathy and Krishnamurty Muralidhar Copyright © 2019 by the National Institute for Applied Statistics Research Australia, UOW. Work in progress, no part of this paper may be reproduced without permission from the Institute. National Institute for Applied Statistics Research Australia, University of Wollongong, Wollongong NSW 2522, Australia Phone +61 2 4221 5435, Fax +61 2 42214998. Email: [email protected] The Multivariate Moments Problem: A Practical High Dimensional Density Estimation Method October 8, 2019 Bradley Wakefield National Institute for Applied Statistics Research Australia School of Mathematics and Applied Statistics University of Wollongong, NSW 2522, Australia Email: [email protected] Yan-Xia Lin National Institute for Applied Statistics Research Australia School of Mathematics and Applied Statistics University of Wollongong, NSW 2522, Australia Email: [email protected] Rathin Sarathy Department of Management Science & Information Systems Oklahoma State University, OK 74078, USA Email: [email protected] Krishnamurty Muralidhar Department of Marketing & Supply Chain Management, Research Director for the Center for Business of Healthcare University of Oklahoma, OK 73019, USA Email: [email protected] 1 Abstract The multivariate moments problem and it's application to the estimation of joint density functions is often considered highly impracticable in modern day analysis. Although many re- sults exist within the framework of this issue, it is often an undesirable method to be used in real world applications due to the computational complexity and intractability of higher order moments. -
THE HAUSDORFF MOMENT PROBLEM REVISITED to What
THE HAUSDORFF MOMENT PROBLEM REVISITED ENRIQUE MIRANDA, GERT DE COOMAN, AND ERIK QUAEGHEBEUR ABSTRACT. We investigate to what extent finitely additive probability measures on the unit interval are determined by their moment sequence. We do this by studying the lower envelope of all finitely additive probability measures with a given moment sequence. Our investigation leads to several elegant expressions for this lower envelope, and it allows us to conclude that the information provided by the moments is equivalent to the one given by the associated lower and upper distribution functions. 1. INTRODUCTION To what extent does a sequence of moments determine a probability measure? This problem has a well-known answer when we are talking about probability measures that are σ-additive. We believe the corresponding problem for probability measures that are only finitely additive has received much less attention. This paper tries to remedy that situation somewhat by studying the particular case of finitely additive probability measures on the real unit interval [0;1] (or equivalently, after an appropriate transformation, on any compact real interval). The question refers to the moment problem. Classically, there are three of these: the Hamburger moment problem for probability measures on R; the Stieltjes moment problem for probability measures on [0;+∞); and the Hausdorff moment problem for probability measures on compact real intervals, which is the one we consider here. Let us first look at the moment problem for σ-additive probability measures. Consider a sequence m of real numbers mk, k ¸ 0. It turns out (see, for instance, [12, Section VII.3] σ σ for an excellent exposition) that there then is a -additive probability measure Pm defined on the Borel sets of [0;1] such that Z k σ x dPm = mk; k ¸ 0; [0;1] if and only if m0 = 1 (normalisation) and the sequence m is completely monotone. -
12.2% 116,000 120M Top 1% 154 3,900
We are IntechOpen, the world’s leading publisher of Open Access books Built by scientists, for scientists 3,900 116,000 120M Open access books available International authors and editors Downloads Our authors are among the 154 TOP 1% 12.2% Countries delivered to most cited scientists Contributors from top 500 universities Selection of our books indexed in the Book Citation Index in Web of Science™ Core Collection (BKCI) Interested in publishing with us? Contact [email protected] Numbers displayed above are based on latest data collected. For more information visit www.intechopen.com Chapter Introductory Chapter: Veterinary Anatomy and Physiology Valentina Kubale, Emma Cousins, Clara Bailey, Samir A.A. El-Gendy and Catrin Sian Rutland 1. History of veterinary anatomy and physiology The anatomy of animals has long fascinated people, with mural paintings depicting the superficial anatomy of animals dating back to the Palaeolithic era [1]. However, evidence suggests that the earliest appearance of scientific anatomical study may have been in ancient Babylonia, although the tablets upon which this was recorded have perished and the remains indicate that Babylonian knowledge was in fact relatively limited [2]. As such, with early exploration of anatomy documented in the writing of various papyri, ancient Egyptian civilisation is believed to be the origin of the anatomist [3]. With content dating back to 3000 BCE, the Edwin Smith papyrus demonstrates a recognition of cerebrospinal fluid, meninges and surface anatomy of the brain, whilst the Ebers papyrus describes systemic function of the body including the heart and vas- culature, gynaecology and tumours [4]. The Ebers papyrus dates back to around 1500 bCe; however, it is also thought to be based upon earlier texts. -
National Life Stories an Oral History of British Science
NATIONAL LIFE STORIES AN ORAL HISTORY OF BRITISH SCIENCE Professor Michael McIntyre Interviewed by Paul Merchant C1379/72 Please refer to the Oral History curators at the British Library prior to any publication or broadcast from this document. Oral History The British Library 96 Euston Road London NW1 2DB United Kingdom +44 (0)20 7412 7404 [email protected] Every effort is made to ensure the accuracy of this transcript, however no transcript is an exact translation of the spoken word, and this document is intended to be a guide to the original recording, not replace it. Should you find any errors please inform the Oral History curators The British Library National Life Stories Interview Summary Sheet Title Page Ref no: C1379/72 Collection title: An Oral History of British Science Interviewee’s surname: McIntyre Title: Professor Interviewee’s forename: Michael Sex: Male Occupation: Applied Date and place of birth: 28/7/1941, Sydney, mathematician Australia Mother’s occupation: / Father’s occupation: Neurophysiologist Dates of recording, tracks (from – to): 28/03/12 (track 1-3), 29/03/12 (track 4-6), 30/03/12 (track 7-8) Location of interview: Department of Applied Mathematics and Theoretical Physics, University of Cambridge Name of interviewer: Dr Paul Merchant Type of recorder: Marantz PMD661 Recording format : WAV 24 bit 48kHz Total no. of tracks: 8 Mono/Stereo: Stereo Total Duration: 9:03:31 Additional material: The interview transcripts for McIntyre’s mother, Anne, father, Archibald Keverall and aunt, Anne Edgeworth are available for public access. Please contact the oral history section for more details. -
De Morgan Newsletter 2008
UCL DEPARTMENT OF MATHEMATICS DDee MMoorrggaann AAssssoocciiaattiioonn NNeewwsslleetttteerr from the Department of Mathematics UCL Issue - 16 - 2008 Editor - Michael O'Neill De Morgan Association Dinner Wednesday 4 June 2008 The venue for the Annual Dinner of the De Morgan Association was again the Jeremy Bentham Room at UCL. Over the years it has been known by other names – most of us will remember it as the Upper Hall, one of the refectories. Its relatively new name was particularly fitting since our Guest of Honour was Dr Andew Murrison MP, who spoke on some of the work of Jeremy Bentham as a social reformer. Dr Murrison is currently Shadow Minister of Defence, having previously been Shadow Minister of Health. His political career mirrors his earlier career in the medical branch of the Royal Navy, when research into neurological decompression illness led to the award of an MD and the Gilbert Blane Medal. This year marked the 10th Anniversary of the death of Sir James Lighthill on 17 July 1998. Sir James was one of Britain’s great mathematicians and a former Provost of UCL and, on his retirement, a member of the Department of Mathematics. He died tragically while engaging in one of his hobbies of long distance swimming. In this issue of the Newsletter, Professor Julian Hunt, who was the founding Dr Andrew Murrison speaking at the Director of the Lighthill Institute of Mathematical Sciences, De Morgan Association Dinner assesses Lighthill’s legacy to the mathematical sciences some 10 years after his untimely death. The year also marked the retirement of two distinguished members of the Department – Professor John Jayne and Dr Kalvis Jansons – and the arrival of one new member of the academic staff, Professor Alexey Zaikin. -
Applied Combinatorics 2017 Edition
Keller Trotter Applied Combinatorics 2017 Edition 2017 Edition Mitchel T. Keller William T. Trotter Applied Combinatorics Applied Combinatorics Mitchel T. Keller Washington and Lee University Lexington, Virginia William T. Trotter Georgia Institute of Technology Atlanta, Georgia 2017 Edition Edition: 2017 Edition Website: http://rellek.net/appcomb/ © 2006–2017 Mitchel T. Keller, William T. Trotter This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Interna- tional License. To view a copy of this license, visit http://creativecommons.org/licenses/ by-sa/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Summary of Contents About the Authors ix Acknowledgements xi Preface xiii Preface to 2017 Edition xv Preface to 2016 Edition xvii Prologue 1 1 An Introduction to Combinatorics 3 2 Strings, Sets, and Binomial Coefficients 17 3 Induction 39 4 Combinatorial Basics 59 5 Graph Theory 69 6 Partially Ordered Sets 113 7 Inclusion-Exclusion 141 8 Generating Functions 157 9 Recurrence Equations 183 10 Probability 213 11 Applying Probability to Combinatorics 229 12 Graph Algorithms 239 vii SUMMARY OF CONTENTS 13 Network Flows 259 14 Combinatorial Applications of Network Flows 279 15 Pólya’s Enumeration Theorem 291 16 The Many Faces of Combinatorics 315 A Epilogue 331 B Background Material for Combinatorics 333 C List of Notation 361 Index 363 viii About the Authors About William T. Trotter William T. Trotter is a Professor in the School of Mathematics at Georgia Tech. He was first exposed to combinatorial mathematics through the 1971 Bowdoin Combi- natorics Conference which featured an array of superstars of that era, including Gian Carlo Rota, Paul Erdős, Marshall Hall, Herb Ryzer, Herb Wilf, William Tutte, Ron Gra- ham, Daniel Kleitman and Ray Fulkerson. -
Pl | En Strona Główna Muzyka Listy/Porady Nowości Hyde Park
pl | en strona główna muzyka listy/porady nowości hyde park archiwum kontakt SZUKAJ Przedwzmacniacz liniowy Tenor Audio LINE 1/POWER 1 Producent: Tenor Audio Cena: 245 000 zł Kontakt: 17 Willow Bay Drive | Midhurst, ON L0L 1X1 Canada [email protected] www.tenoraudio.com MADE IN CANADA Do testu dostarczyła: SOUNDCLUB enor Audio, maleńka, kanadyjska manufaktura, mająca w Muzyka w tym wydaniu jest dobra, jest aksamitna i ma potężne swojej ofercie zaledwie kilka produktów, znana jest wsparcie na dole pasma. Nie słychać pojedynczych instrumentów, przede wszystkim ze swoich hybrydowych wzmacniaczy, a tylko to, jak korelują z innymi. Wokale nagle pojawiają się przed z tranzystorową końcówka pracującą jako wtórnik prądowy (o nami i gdyby nie to, że zaraz wchodzi niebywale dobrze wzmocnieniu = 1) i lampowym stopniem sterującym. Jej historia różnicowany, mocny bas, zostalibyśmy w stuporze. zaczęła się jednak od zupełnie innych konstrukcji: wzmacniaczy Rozdzielczość, podobnie jak selektywność, nie wydaje się zbyt lampowych OTL, tj. bez transformatorów wyjściowych („output wysoka. O ile z selektywnością to prawda, przedwzmacniacz transformerless”). Jak w wywiadzie udzielonym Mike’owi bazuje na różnicowaniu barw, a nie na „rysowaniu” brył, o tyle z Malinowskiemu wspomina François Lemay, szef sprzedaży, rozdzielczością – nie. To cecha, która charakteryzuje ilość zaczęło się niewinnie, od spotkania z Robertem Lamarre w 1998 informacji, którą dostajemy. Nie „szczegółów”, to co innego niż roku w czasie wystawy audio w Montrealu (cały wywiad TUTAJ). detaliczność. Rozdzielczość to gęstość i naturalność, ciepło i Lamarre wystawiał tam swoje kolumny. Sześć miesięcy później „flow”. Tenor to wszystko ma w nadmiarze. okazało się, że mieszka on kilka ulic od Lemaya – fortunny zbieg Jego prezentacja skupia się na „tu i teraz”. -
Solo List and Reccomended List for 02-03-04 Ver 3
Please read this before using this recommended guide! The following pages are being uploaded to the OSSAA webpage STRICTLY AS A GUIDE TO SOLO AND ENSEMBLE LITERATURE. In 1999 there was a desire to have a required list of solo and ensemble literature, similar to the PML that large groups are required to perform. Many hours were spent creating the following document to provide “graded lists” of literature for every instrument and voice part. The theory was a student who made a superior rating on a solo would be required to move up the list the next year, to a more challenging solo. After 2 years of debating the issue, the music advisory committee voted NOT to continue with the solo/ensemble required list because there was simply too much music written to confine a person to perform from such a limited list. In 2001 the music advisor committee voted NOT to proceed with the required list, but rather use it as “Recommended Literature” for each instrument or voice part. Any reference to “required lists” or “no exceptions” in this document need to be ignored, as it has not been updated since 2001. If you have any questions as to the rules and regulations governing solo and ensemble events, please refer back to the OSSAA Rules and Regulation Manual for the current year, or contact the music administrator at the OSSAA. 105 SOLO ENSEMBLE REGULATIONS 1. Pianos - It is recommended that you use digital pianos when accoustic pianos are not available or if it is most cost effective to use a digital piano. -
Fundamental Theorems in Mathematics
SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635]. -
The Birth of Fullerene Chemistry: Harold W. Kroto Discusses New Lines of Buckyball Research in a Science Watchm Interview
Current Comments@ EUGENE GARFIELD INSTITUTE FOB SCIENTIFIC !NFORMATION@ I 3501 MARKET ST, PHILADELPHIA, PA I W04 The Birth of Fullerene Chemistry: Harold W. Kroto Discusses New Lines of Buckyball Research in a Science Watchm Interview Number 37 September 13, 1993 A Star Is Born: Discovering the Third Not surprisingly, buckyballs and the new Form of Carbon field of fullerene chemistry have attracted Last week in the engineering and phys- much attention in the press, For example, ics/chemi stry editions of Currenr Contents@ Science selected the buckyball as its Mol- (C@), we published a Citufion Classic@ ecule of the Year in 1991,6 and the Econo- commentary by Harold W. Kroto, Univer- misf called it (be Renaissance Molecule in sity of Sussex, Brighton, EngIand, on the 1992,7 It was first featured in CC in a 1988 1985 Nature paper describing the discov- essay on the most-cited 1985 chemistry pa- ery of buckminsterfullerene, IZ Working pers.~ with a team of colleagues at Rice Univer- h addition, Kroto was interviewed in sity, Houston, led by Richard E, Smalley, Science WaKh@, ISI@’s newsletter ihat Kroto was interested in learning more about &acks quantitative trends in researches The the interstellar formation of long carbon 1992 interview, reprinted below, focused chains in red giant stars. An unexpected on new directions in fullerene research and result of their effort was the serendipitous its applications in various fields. It is a discovery of a third natural form of car- useful companion piece to Kroto’s Cita- bon—the stable Cm molecule named after tion Classic commentary, ] because both R. -
Short Cross-Disciplinary Cycles in Co-Authorship Graphs
How small is the center of science? Short cross-disciplinary cycles in co-authorship graphs Chris Fields 528 Zinnia Court Sonoma, CA 95476 USA fi[email protected] October 17, 2014 Abstract Cycles that cross two or more boundaries between disciplines in the co-authorship graph for all of science are used to set upper limits on the number of co-authored pa- pers required to cross 15 disciplines or subdisciplines ranging from macroeconomics to neurology. The upper limits obtained range from one (discrete mathematics, macroe- conomics and nuclear physics) to six (neuroscience). The 15 disciplines or subdis- ciplines examined form a “small world” with an average separation of only 2.0 co- authorship links. It is conjectured that the high-productivity, high average degree centers of all scientific disciplines form a small world, and therefore that the diameter of the co-authorship graph of all of science is only slightly larger than the average diameter of the co-authorship graphs of its subdisciplines. Keywords: Cross-displinary brokers; Field mobility; Graph centrality; Graph diameter; Nobel laureates; Preferential attachment; Small-world networks 1 Introduction Numerous studies have now confirmed the finding of Newman (2001, 2004) that the co- authorship graphs of many scientific disciplines can be characterized as “small worlds” comprising many dense clusters of researchers separated by relatively short (mean length 1 l ≤ 10) minimum paths (reviewed by Mali, Kronegger, Doreian and Ferligoj, 2012). Despite over two decades of efforts to make the world of science as a whole more interconnected by encouraging inter-, multi- or trans-disciplinary collaborations, however, the research enterprise remains organized into disciplines (Jacobs and Frickel, 2009).