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Mollweide Projection and the ICA Logo Cartotalk, October 21, 2011 Institute of Geoinformation and Cartography, Research Group Cartography (Draft Paper)
Mollweide Projection and the ICA Logo CartoTalk, October 21, 2011 Institute of Geoinformation and Cartography, Research Group Cartography (Draft paper) Miljenko Lapaine University of Zagreb, Faculty of Geodesy, [email protected] Abstract The paper starts with the description of Mollweide's life and work. The formula or equation in mathematics known after him as Mollweide's formula is shown, as well as its proof "without words". Then, the Mollweide map projection is defined and formulas derived in different ways to show several possibilities that lead to the same result. A generalization of Mollweide projection is derived enabling to obtain a pseudocylindrical equal-area projection having the overall shape of an ellipse with any prescribed ratio of its semiaxes. The inverse equations of Mollweide projection has been derived, as well. The most important part in research of any map projection is distortion distribution. That means that the paper continues with the formulas and images enabling us to get some filling about the liner and angular distortion of the Mollweide projection. Finally, the ICA logo is used as an example of nice application of the Mollweide projection. A small warning is put on the map painted on the ICA flag. It seams that the map is not produced according to the Mollweide projection and is different from the ICA logo map. Keywords: Mollweide, Mollweide's formula, Mollweide map projection, ICA logo 1. Introduction Pseudocylindrical map projections have in common straight parallel lines of latitude and curved meridians. Until the 19th century the only pseudocylindrical projection with important properties was the sinusoidal or Sanson-Flamsteed. -
Chemical Engineering Education Graduate Education in Chemical Engineering
I • N • D • E • X GRADUATE EDUCATION ADVERTISEMENTS Akron, Uni versity of. .......... , .... ... .................. 321 Iowa State Uni versity .................. ... ....... ....... 360 Pensylvania State Uni versity ........................ 395 Alabama, University of ................................ 322 Johns Hopkins University .... .... .. .... .... .......... 361 Pittsburgh, University of .............................. 396 Alabama, Huntsville; Uni versity of.. .... .. ..... 323 Kansas, University of ............................... .... 362 Polytechnic University .. .... ... .... ........... .. ..... .. 397 Alberta, Uni versity of .. ........ .... .. .... ... ..... ..... .. 324 Kansas State University ............... ... ...... ........ 363 Princeton University ....................... .......... .. .. 398 Arizona, University of ....... .. .... .. .... ... .. ... ....... 325 Kentucky, Uni versity of ........................ .. ..... 364 Purdue University .. ........... ... ... ....... ... .... .... ... 399 Arizona State University ..... .. ... ...... ..... ......... 326 Lamar University .. ... ..... ..... ......... ........... .. ..... 430 Rensselaer Polytechnic Institute .... ...... .... ... .. 400 Auburn Uni versity .. ..... .. ... ..... .. .............. .... ... 327 Laval Universite ...................... ........... ...... .. .. 365 Rhode Island, University of.. .... ..... .. ... ..... .. ... 435 Bri gham Young Uni versity .............. ... .. ..... ... 427 Lehigh University .................................. .... ... 366 Rice University -
Ira Sprague Bowen Papers, 1940-1973
http://oac.cdlib.org/findaid/ark:/13030/tf2p300278 No online items Inventory of the Ira Sprague Bowen Papers, 1940-1973 Processed by Ronald S. Brashear; machine-readable finding aid created by Gabriela A. Montoya Manuscripts Department The Huntington Library 1151 Oxford Road San Marino, California 91108 Phone: (626) 405-2203 Fax: (626) 449-5720 Email: [email protected] URL: http://www.huntington.org/huntingtonlibrary.aspx?id=554 © 1998 The Huntington Library. All rights reserved. Observatories of the Carnegie Institution of Washington Collection Inventory of the Ira Sprague 1 Bowen Papers, 1940-1973 Observatories of the Carnegie Institution of Washington Collection Inventory of the Ira Sprague Bowen Paper, 1940-1973 The Huntington Library San Marino, California Contact Information Manuscripts Department The Huntington Library 1151 Oxford Road San Marino, California 91108 Phone: (626) 405-2203 Fax: (626) 449-5720 Email: [email protected] URL: http://www.huntington.org/huntingtonlibrary.aspx?id=554 Processed by: Ronald S. Brashear Encoded by: Gabriela A. Montoya © 1998 The Huntington Library. All rights reserved. Descriptive Summary Title: Ira Sprague Bowen Papers, Date (inclusive): 1940-1973 Creator: Bowen, Ira Sprague Extent: Approximately 29,000 pieces in 88 boxes Repository: The Huntington Library San Marino, California 91108 Language: English. Provenance Placed on permanent deposit in the Huntington Library by the Observatories of the Carnegie Institution of Washington Collection. This was done in 1989 as part of a letter of agreement (dated November 5, 1987) between the Huntington and the Carnegie Observatories. The papers have yet to be officially accessioned. Cataloging of the papers was completed in 1989 prior to their transfer to the Huntington. -
Atomic History Project Background: If You Were Asked to Draw the Structure of an Atom, What Would You Draw?
Atomic History Project Background: If you were asked to draw the structure of an atom, what would you draw? Throughout history, scientists have accepted five major different atomic models. Our perception of the atom has changed from the early Greek model because of clues or evidence that have been gathered through scientific experiments. As more evidence was gathered, old models were discarded or improved upon. Your task is to trace the atomic theory through history. Task: 1. You will create a timeline of the history of the atomic model that includes all of the following components: A. Names of 15 of the 21 scientists listed below B. The year of each scientist’s discovery that relates to the structure of the atom C. 1- 2 sentences describing the importance of the discovery that relates to the structure of the atom Scientists for the timeline: *required to be included • Empedocles • John Dalton* • Ernest Schrodinger • Democritus* • J.J. Thomson* • Marie & Pierre Curie • Aristotle • Robert Millikan • James Chadwick* • Evangelista Torricelli • Ernest • Henri Becquerel • Daniel Bernoulli Rutherford* • Albert Einstein • Joseph Priestly • Niels Bohr* • Max Planck • Antoine Lavoisier* • Louis • Michael Faraday • Joseph Louis Proust DeBroglie* Checklist for the timeline: • Timeline is in chronological order (earliest date to most recent date) • Equal space is devoted to each year (as on a number line) • The eight (8) *starred scientists are included with correct dates of their discoveries • An additional seven (7) scientists of your choice (from -
Physics of Gases and Phenomena of Heat Evangelista Torricelli (1608-1647)
Physics of gases and phenomena of heat Evangelista Torricelli (1608-1647) ”...We have made many vessels of glass like those shown as A and B and with tubes two cubits long. These were filled with quicksilver, the open end was closed with the finger, and they were then inverted in a vessel where there was quicksilver C; then we saw that an empty space was formed and that nothing happened in the vessel when this space was formed; the tube between A and D remained always full to the height of a cubit and a quarter and an inch high... Water also in a similar tube, though a much longer one, will rise to about 18 cubits, that is, as much more than quicksilver does as quicksilver is heavier than water, so as to be in equilibrium with the same cause which acts on the one and the other...” Letter to Michelangelo Ricci, June 11, 1644 Evangelista Torricelli (1608-1647) ”We live immersed at the bottom of a sea of elemental air, which by experiment undoubtedly has weight, and so much weight that the densest air in the neighbourhood of the surface of the earth weighs about one four-hundredth part of the weight of water...” Letter to Michelangelo Ricci, June 11, 1644 In July 1647 Valeriano Magni performed experiments on the vacuum in the presence of the King of Poland at the Royal Castle in Warsaw Blaise Pascal (1623-1662) ”I am searching for information which could help decide whether the action attributed to horror vacui really results from it or perhaps is caused by gravity and the pressure of air. -
Philosophia Scientiæ, 13-2 | 2009 [En Ligne], Mis En Ligne Le 01 Octobre 2009, Consulté Le 15 Janvier 2021
Philosophia Scientiæ Travaux d'histoire et de philosophie des sciences 13-2 | 2009 Varia Édition électronique URL : http://journals.openedition.org/philosophiascientiae/224 DOI : 10.4000/philosophiascientiae.224 ISSN : 1775-4283 Éditeur Éditions Kimé Édition imprimée Date de publication : 1 octobre 2009 ISBN : 978-2-84174-504-3 ISSN : 1281-2463 Référence électronique Philosophia Scientiæ, 13-2 | 2009 [En ligne], mis en ligne le 01 octobre 2009, consulté le 15 janvier 2021. URL : http://journals.openedition.org/philosophiascientiae/224 ; DOI : https://doi.org/10.4000/ philosophiascientiae.224 Ce document a été généré automatiquement le 15 janvier 2021. Tous droits réservés 1 SOMMAIRE Actes de la 17e Novembertagung d'histoire des mathématiques (2006) 3-5 novembre 2006 (University of Edinburgh, Royaume-Uni) An Examination of Counterexamples in Proofs and Refutations Samet Bağçe et Can Başkent Formalizability and Knowledge Ascriptions in Mathematical Practice Eva Müller-Hill Conceptions of Continuity: William Kingdon Clifford’s Empirical Conception of Continuity in Mathematics (1868-1879) Josipa Gordana Petrunić Husserlian and Fichtean Leanings: Weyl on Logicism, Intuitionism, and Formalism Norman Sieroka Les journaux de mathématiques dans la première moitié du XIXe siècle en Europe Norbert Verdier Varia Le concept d’espace chez Veronese Une comparaison avec la conception de Helmholtz et Poincaré Paola Cantù Sur le statut des diagrammes de Feynman en théorie quantique des champs Alexis Rosenbaum Why Quarks Are Unobservable Tobias Fox Philosophia Scientiæ, 13-2 | 2009 2 Actes de la 17e Novembertagung d'histoire des mathématiques (2006) 3-5 novembre 2006 (University of Edinburgh, Royaume-Uni) Philosophia Scientiæ, 13-2 | 2009 3 An Examination of Counterexamples in Proofs and Refutations Samet Bağçe and Can Başkent Acknowledgements Partially based on a talk given in 17th Novembertagung in Edinburgh, Scotland in November 2006 by the second author. -
2008 Annual Report
2008 Annual Report NATIONAL ACADEMY OF ENGINEERING ENGINEERING THE FUTURE 1 Letter from the President 3 In Service to the Nation 3 Mission Statement 4 Program Reports 4 Engineering Education 4 Center for the Advancement of Scholarship on Engineering Education 6 Technological Literacy 6 Public Understanding of Engineering Developing Effective Messages Media Relations Public Relations Grand Challenges for Engineering 8 Center for Engineering, Ethics, and Society 9 Diversity in the Engineering Workforce Engineer Girl! Website Engineer Your Life Project Engineering Equity Extension Service 10 Frontiers of Engineering Armstrong Endowment for Young Engineers-Gilbreth Lectures 12 Engineering and Health Care 14 Technology and Peace Building 14 Technology for a Quieter America 15 America’s Energy Future 16 Terrorism and the Electric Power-Delivery System 16 U.S.-China Cooperation on Electricity from Renewables 17 U.S.-China Symposium on Science and Technology Strategic Policy 17 Offshoring of Engineering 18 Gathering Storm Still Frames the Policy Debate 20 2008 NAE Awards Recipients 22 2008 New Members and Foreign Associates 24 2008 NAE Anniversary Members 28 2008 Private Contributions 28 Einstein Society 28 Heritage Society 29 Golden Bridge Society 29 Catalyst Society 30 Rosette Society 30 Challenge Society 30 Charter Society 31 Other Individual Donors 34 The Presidents’ Circle 34 Corporations, Foundations, and Other Organizations 35 National Academy of Engineering Fund Financial Report 37 Report of Independent Certified Public Accountants 41 Notes to Financial Statements 53 Officers 53 Councillors 54 Staff 54 NAE Publications Letter from the President Engineering is critical to meeting the fundamental challenges facing the U.S. economy in the 21st century. -
18 – 20 November 2012
65th Annual meeting of the Division of Fluid Dynamics 18 – 20 November 2012 Table of Contents Welcome ................................................................................................................................... 2 65th Annual Meeting Committee .............................................................................................. 3 APS/DFD 2012 Officers and Committees ................................................................................. 4-5 DFD Events .............................................................................................................................. 6 Registration Desk Hours ................................................................................................ 6 Speaker Ready Room Hours ......................................................................................... 6 DFD Executive Committee Meeting .............................................................................. 6 Awards Ceremony ......................................................................................................... 6 Invited Lectures ............................................................................................................. 6 Conference Dinner ........................................................................................................ 6 Gallery of Fluid Motion ................................................................................................... 6 Poster Information ........................................................................................................ -
Named Units of Measurement
Dr. John Andraos, http://www.careerchem.com/NAMED/Named-Units.pdf 1 NAMED UNITS OF MEASUREMENT © Dr. John Andraos, 2000 - 2013 Department of Chemistry, York University 4700 Keele Street, Toronto, ONTARIO M3J 1P3, CANADA For suggestions, corrections, additional information, and comments please send e-mails to [email protected] http://www.chem.yorku.ca/NAMED/ Atomic mass unit (u, Da) John Dalton 6 September 1766 - 27 July 1844 British, b. Eaglesfield, near Cockermouth, Cumberland, England Dalton (1/12th mass of C12 atom) Dalton's atomic theory Dalton, J., A New System of Chemical Philosophy , R. Bickerstaff: London, 1808 - 1827. Biographical References: Daintith, J.; Mitchell, S.; Tootill, E.; Gjersten, D ., Biographical Encyclopedia of Dr. John Andraos, http://www.careerchem.com/NAMED/Named-Units.pdf 2 Scientists , Institute of Physics Publishing: Bristol, UK, 1994 Farber, Eduard (ed.), Great Chemists , Interscience Publishers: New York, 1961 Maurer, James F. (ed.) Concise Dictionary of Scientific Biography , Charles Scribner's Sons: New York, 1981 Abbott, David (ed.), The Biographical Dictionary of Scientists: Chemists , Peter Bedrick Books: New York, 1983 Partington, J.R., A History of Chemistry , Vol. III, Macmillan and Co., Ltd.: London, 1962, p. 755 Greenaway, F. Endeavour 1966 , 25 , 73 Proc. Roy. Soc. London 1844 , 60 , 528-530 Thackray, A. in Gillispie, Charles Coulston (ed.), Dictionary of Scientific Biography , Charles Scribner & Sons: New York, 1973, Vol. 3, 573 Clarification on symbols used: personal communication on April 26, 2013 from Prof. O. David Sparkman, Pacific Mass Spectrometry Facility, University of the Pacific, Stockton, CA. Capacitance (Farads, F) Michael Faraday 22 September 1791 - 25 August 1867 British, b. -
1 WKB Wavefunctions for Simple Harmonics Masatsugu
WKB wavefunctions for simple harmonics Masatsugu Sei Suzuki Department of Physics, SUNY at Binmghamton (Date: November 19, 2011) _________________________________________________________________________ Gregor Wentzel (February 17, 1898, in Düsseldorf, Germany – August 12, 1978, in Ascona, Switzerland) was a German physicist known for development of quantum mechanics. Wentzel, Hendrik Kramers, and Léon Brillouin developed the Wentzel– Kramers–Brillouin approximation in 1926. In his early years, he contributed to X-ray spectroscopy, but then broadened out to make contributions to quantum mechanics, quantum electrodynamics, and meson theory. http://en.wikipedia.org/wiki/Gregor_Wentzel _________________________________________________________________________ Hendrik Anthony "Hans" Kramers (Rotterdam, February 2, 1894 – Oegstgeest, April 24, 1952) was a Dutch physicist. http://en.wikipedia.org/wiki/Hendrik_Anthony_Kramers _________________________________________________________________________ Léon Nicolas Brillouin (August 7, 1889 – October 4, 1969) was a French physicist. He made contributions to quantum mechanics, radio wave propagation in the atmosphere, solid state physics, and information theory. http://en.wikipedia.org/wiki/L%C3%A9on_Brillouin _______________________________________________________________________ 1. Determination of wave functions using the WKB Approximation 1 In order to determine the eave function of the simple harmonics, we use the connection formula of the WKB approximation. V x E III II I x b O a The potential energy is expressed by 1 V (x) m 2 x 2 . 2 0 The x-coordinates a and b (the classical turning points) are obtained as 2 2 a 2 , b 2 , m0 m0 from the equation 1 V (x) m 2 x2 , 2 0 or 1 1 m 2a 2 m 2b2 , 2 0 2 0 where is the constant total energy. Here we apply the connection formula (I, upward) at x = a. -
Catalogue 51: Mostly New Acquisitions
Catalogue 51: Mostly New Acquisitions For the 48th California International Antiquarian Book Fair Oakland Marriott, City Center, Oakland February 6 – 8, 2015 Visit us at Booth 809 HistoryofScience.com Jeremy Norman & Co., Inc. P.O. Box 867 Novato, CA 94948 Voice: (415) 892-3181 Fax: (415) 276-2317 Email: [email protected] Copyright ©2015 by Jeremy Norman & Co., Inc. / Historyofscience.com First Edition of the First English Sex Manual — One of Three Known Complete Copies 1. [Pseudo-Aristotle]. Aristoteles master-piece, or the secrets of generation displayed in all the parts thereof . 12mo. [4, including woodcut frontispiece], 190, [2, blank], [12, including 6 wood- cut illustrations, one a repeat of the frontispiece]pp. Title leaf is a cancel. London: Printed for J. How, 1684. 144 x 85 mm. Early sheep, worn, binding separating from text block; preserved in a cloth box. Occasional worming and staining, edges frayed, woodcuts with holes, tears and chips slightly affecting images, last woodcut with marginal loss affecting a few words of text, a few leaves slightly cropped, but a good, unsophisticated copy of a book that was mostly read out of existence. $65,000 First Edition. Aristotle’s Masterpiece (neither by Aristotle nor a masterpiece) was the first sex manual in English, providing its readers with practical advice on copulation, conception, pregnancy and birth. This anony- mous, inexpensively printed work proved to be enormously popular: At least three editions were issued by J. How in 1684 (see ESTC and below in our description), and it went through well over 100 editions in the following two centuries.Versions even continued to be published into the early twentieth century, with one appearing as late as 1930! Although Aristotle’s Masterpiece was not intended as pornography, its frank discussion of sex and reproduction was seen as unfit for polite society; the book was often issued under false imprints and sold “under the table.” The publication history of the work is discussed in some detail in Roy Porter and Lesley Hall’s The Facts of Life (pp. -
Spin-Or, Actually: Spin and Quantum Statistics
S´eminaire Poincar´eXI (2007) 1 – 50 S´eminaire Poincar´e SPIN OR, ACTUALLY: SPIN AND QUANTUM STATISTICS∗ J¨urg Fr¨ohlich Theoretical Physics ETH Z¨urich and IHES´ † Abstract. The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli’s theory of the spinning electron and some of its many applications in mathematics and physics are considered in more detail. The role of the fact that the tree-level gyromagnetic factor of the electron has the value ge = 2 in an analysis of stability (and instability) of matter in arbitrary external magnetic fields is highlighted. Radiative corrections and precision measurements of ge are reviewed. The general connection between spin and statistics, the CPT theorem and the theory of braid statistics, relevant in the theory of the quantum Hall effect, are described. “He who is deficient in the art of selection may, by showing nothing but the truth, produce all the effects of the grossest falsehoods. It perpetually happens that one writer tells less truth than another, merely because he tells more ‘truth’.” (T. Macauley, ‘History’, in Essays, Vol. 1, p 387, Sheldon, NY 1860) Dedicated to the memory of M. Fierz, R. Jost, L. Michel and V. Telegdi, teachers, colleagues, friends. arXiv:0801.2724v3 [math-ph] 29 Feb 2008 ∗Notes prepared with efficient help by K. Schnelli and E. Szabo †Louis-Michel visiting professor at IHES´ / email: [email protected] 2 J. Fr¨ohlich S´eminaire Poincar´e Contents 1 Introduction to ‘Spin’ 3 2 The Discovery of Spin and of Pauli’s Exclusion Principle, Historically Speaking 6 2.1 Zeeman, Thomson and others, and the discovery of the electron.......