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The Cell Method: a Purely Algebraic Computational Method in Physics and Engineering Copyright © Momentum Press®, LLC, 2014
THE CELL METHOD THE CELL METHOD A PURELY ALGEBRAIC COMPUTATIONAL METHOD IN PHYSICS AND ENGINEERING ELENA FERRETTI MOMENTUM PRESS, LLC, NEW YORK The Cell Method: A Purely Algebraic Computational Method in Physics and Engineering Copyright © Momentum Press®, LLC, 2014. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means—electronic, mechanical, photocopy, recording, or any other—except for brief quotations, not to exceed 400 words, without the prior permission of the publisher. First published by Momentum Press®, LLC 222 East 46th Street, New York, NY 10017 www.momentumpress.net ISBN-13: 978-1-60650-604-2 (hardcover) ISBN-10: 1-60650-604-8 (hardcover) ISBN-13: 978-1-60650-606-6 (e-book) ISBN-10: 1-60650-606-4 (e-book) DOI: 10.5643/9781606506066 Cover design by Jonathan Pennell Interior design by Exeter Premedia Services Private Ltd. Chennai, India 10 9 8 7 6 5 4 3 2 1 Printed in the United States of America CONTENTS ACKNOWLEDGMENTS vii PREFACE ix 1 A COMpaRISON BETWEEN ALGEBRAIC AND DIFFERENTIAL FORMULATIONS UNDER THE GEOMETRICAL AND TOPOLOGICAL VIEWPOINTS 1 1.1 Relationship Between How to Compute Limits and Numerical Formulations in Computational Physics 2 1.1.1 Some Basics of Calculus 2 1.1.2 The e − d Definition of a Limit 4 1.1.3 A Discussion on the Cancelation Rule for Limits 8 1.2 Field and Global Variables 15 1.3 Set Functions in Physics 20 1.4 A Comparison Between the Cell Method and the Discrete Methods 21 2 ALGEBRA AND THE GEOMETRIC INTERPRETATION -
Staffan Björks Bibliografi
Staffan Björcks bibliografi 1937-1995 Rydén, Per 2005 Document Version: Förlagets slutgiltiga version Link to publication Citation for published version (APA): Rydén, P. (Red.) (2005). Staffan Björcks bibliografi: 1937-1995. (Absalon; Vol. 22). Litteraturvetenskapliga institutionen, Lunds universitet. Total number of authors: 1 General rights Unless other specific re-use rights are stated the following general rights apply: Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Read more about Creative commons licenses: https://creativecommons.org/licenses/ Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. LUND UNIVERSITY PO Box 117 221 00 Lund +46 46-222 00 00 Staffan Björcks Bibliografi 1937–1995 sammanställd av Per Rydén ABSALON Skrifter utgivna vid Litteraturvetenskapliga institutionen i Lund Staffan Björcks Bibliografi 1937–1995 sammanställd av Per Rydén Tryckningen av -
Design Principles Behind Beauty and Joy of Computing
Paper Session: CS0 SIGCSE ’20, March 11–14, 2020, Portland, OR, USA Design Principles behind Beauty and Joy of Computing Paul Goldenberg June Mark Brian Harvey Al Cuoco Mary Fries EDC EDC UCB EDC EDC Waltham, MA, USA Waltham, MA, USA Berkeley, CA, USA Waltham, MA, USA Waltham, MA, USA [email protected] [email protected] [email protected] [email protected] [email protected] ABSTRACT Technical Symposium on Computer Science Education (SIGCSE’20), March 11–14, 2020, Portland, OR, USA. ACM, NewYork, NY, USA, 7 pages. ACM, This paper shares the design principles of one Advanced Placement New York, NY, USA, 7 pages https://doi.org/10.1145/3328778.3366794 Computer Science Principles (AP CSP) course, Beauty and Joy of Computing (BJC), both for schools considering curriculum, and for 1 Introduction developers in this still-new field. BJC students not only learn about The National Science Foundation (NSF) and College Board (CB) in- CS, but do some and analyze its social implications; we feel that the troduced the Advanced Placement Computer Science Principles (AP job of enticing students into the field isn’t complete until students CSP) course to broaden participation in CS by appealing to high find programming, itself, something they enjoy and know they can school students who didn’t see CS as an inviting option—especially do, and its key ideas accessible. Students must feel invited to use female, black, and Latinx students who have been typically un- their own creativity and logic, and enjoy the power of their logic derrepresented in computing. The AP CSP course was the center- and the beauty and elegance of the code by which they express it. -
Nhbs Annual New and Forthcoming Titles Issue: 2000 Complete January 2001 [email protected] +44 (0)1803 865913
nhbs annual new and forthcoming titles Issue: 2000 complete January 2001 [email protected] +44 (0)1803 865913 The NHBS Monthly Catalogue in a complete yearly edition Zoology: Mammals Birds Welcome to the Complete 2000 edition of the NHBS Monthly Catalogue, the ultimate Reptiles & Amphibians buyer's guide to new and forthcoming titles in natural history, conservation and the Fishes environment. With 300-400 new titles sourced every month from publishers and research organisations around the world, the catalogue provides key bibliographic data Invertebrates plus convenient hyperlinks to more complete information and nhbs.com online Palaeontology shopping - an invaluable resource. Each month's catalogue is sent out as an HTML Marine & Freshwater Biology email to registered subscribers (a plain text version is available on request). It is also General Natural History available online, and offered as a PDF download. Regional & Travel Please see our info page for more details, also our standard terms and conditions. Botany & Plant Science Prices are correct at the time of publication, please check www.nhbs.com for the Animal & General Biology latest prices. Evolutionary Biology Ecology Habitats & Ecosystems Conservation & Biodiversity Environmental Science Physical Sciences Sustainable Development Data Analysis Reference Mammals Activity Patterns in Small Mammals 318 pages | 59 figs, 11 tabs | Springer An Ecological Approach Hbk | 2000 | 354059244X | #109391A | Edited by S Halle and NC Stenseth £100.00 BUY Links chronobiology with behavioural and evolutionary ecology, drawing on research on mammals ranging from mongooses and civets to weasels, martens and shrews. .... African Rhino 92 pages | B/w photos, figs, tabs | IUCN Status Survey and Conservation Action Plan Pbk | 1999 | 2831705029 | #106031A | Richard Emslie and Martin Brooks £15.00 BUY Action plan aimed at donors, government and non-government organisations, and all those involved in rhino conservation. -
Kucukarac.Pdf
M & M SENSOR İKİTELLİ ORG. SAN. BÖLG. ESKOOP SAN. SİT. C-6 BLOK NO:294 BAŞAKŞEHİR / İSTANBUL TEL: +90 212 671 41 80 FAX: +90 212 671 41 90 [email protected] / www.baltechswitches.com SWITCHES SAYFA İÇERİĞİ / INDEX 1 - 15 YAĞ BASINÇ MÜŞÜRLERİ / OIL PRESSURE SWITCHES 16 - 31 HARARET MÜŞÜRLERİ / TEMPERATURE SENDER 32 - 46 SENSÖRLER / SENSORS 47 - 59 GERİ VİTES MÜŞÜRLERİ / REVERSING LIGHT SWITCHES 60 - PNÖMATİK BASINÇ MÜŞÜRLERİ / PNEUMATIC SWITCHES 61 - HİDROLİK FREN MÜŞÜRLERİ / HYDRAULIC STOP LIGHT SWITCHES 62 - MEKANİK FREN MÜŞÜRLERİ / MECHANICAL STOP LIGHT SWITCHES 63 - HAVA BASINÇ MÜŞÜRLERİ / PNEUMATIC STOP LIGHT SWITCHES MADE IN TURKEY BİR TEKNİK GELŞ. MAK. PAZ. SAN. VE TİC. LTD. ŞTİ. İkitelli Org. San. Bölg. Eskoop San. Sit. C6 Blok No:294 İkitelli-Başakşehir / istanbul Tel: +90 212 671 41 80 Fax: +90 212 671 41 90 [email protected] / www.baltechswitches.com YAĞ BASINÇ MÜŞÜRLERİ OIL PRESSURE SWITCHES 1 OEM / ORJ. NO 40.022 Bosch 0344101072 SIMCA SKODA STANDARD Octa 1959-65 Vehículos Europeos F 1959-65 European V cles 1202 1959-65 V Bar 10x1 0,25÷0,50 OEM / ORJ. NO 40.004 Alfa Romeo 60593846 ALFA ROMEO AUDI SKODA 60595694 Alfa 33 1.8 T 1986-94 50. 80. 90. 100 1966-82 105. 120. Estelle. Ra 1977-87 6,35 mm 021 919 081,A,B Alfa 75 1985-92 BMW Fa . 136 Coupé 1987-95 111 919 081, A Alfa 90 1984-87 MERCEDES VOLKSWAGEN 113 919 081 Alfa 155 1992-93 1963-71 Escarabajo/Kafer/Beetle 1960-79 BMW 61 311 351 799 Alfa 164 2.5 Turbo D 1992-98 PORSCHE Dasher. -
Pos(Westerbork)002 Historical Introduction Historical S 4.0 International License (CC BY-NC-ND 4.0)
Historical Introduction PoS(Westerbork)002 Richard Strom ASTRON Oude Hoogeveensedijk 4, 7991 PD Dwingeloo, The Netherlands E-mail: [email protected] 50 Years Westerbork Radio Observatory, A Continuing Journey to Discoveries and Innovations Richard Strom, Arnold van Ardenne, Steve Torchinsky (eds) Published with permission of the Netherlands Institute for Radio Astronomy (ASTRON) under the terms of the Creative CommonsAttribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). Chapter 1 Historical introduction Richard Strom* rom the English longbows at the battle of Crécy (1346) to Winston Chur- chill’s world war I mobilized cannon (its true identity hidden behind the Fpseudonym “[water] tank”), warfare has always pushed technological innovation to new fronts. The second world war (WWII) was no exception. It gave us technology ranging from the dynamo-powered flashlight (a Philips invention) to jet engines, and space-capable rockets (Germany’s V2), not to mention (in a completely different realm) the mass production of Penicillin. In fact, it could be argued that WWII inventions marked the inception of the modern technological era1. In the field of electronics, the war led to innovations such as radio navigation, aircraft landing systems, and radar. It was these developments which were to * ASTRON, Univer- sity of Amsterdam, have a revolutionary impact on astronomy, initially in Britain, Australia and the The Netherlands United States. But the story begins in the US, with the electronics of the 1920s and ‘30s. Figure 1. Karl G. Jansky (c. 1933) Around 1930, there was increasing interest in the use of radio frequencies for communication. One of the main players, the Bell Telephone Laboratories in New Jersey, asked their research engineer, Karl Jansky (Figure 1), to investigate the inter- ference environment in the “short-wave” band around 20 MHz. -
The Life-Cycle of the Barcelona Automobile-Industry Cluster, 1889-20151
The Life-Cycle of the Barcelona Automobile-Industry Cluster, 1889-20151 • JORDI CATALAN Universitat de Barcelona The life cycle of a cluster: some hypotheses Authors such as G. M. P. Swann and E. Bergman have defended the hy- pothesis that clusters have a life cycle.2 During their early history, clusters ben- efit from positive feedback such as strong local suppliers and customers, a pool of specialized labor, shared infrastructures and information externali- ties. However, as clusters mature, they face growing competition in input mar- kets such as real estate and labor, congestion in the use of infrastructures, and some sclerosis in innovation. These advantages and disadvantages combine to create the long-term cycle. In the automobile industry, this interpretation can explain the rise and decline of clusters such as Detroit in the United States or the West Midlands in Britain.3 The objective of this paper is to analyze the life cycle of the Barcelona au- tomobile- industry cluster from its origins at the end of the nineteenth centu- ry to today. The Barcelona district remained at the top of the Iberian auto- mobile clusters for a century. In 2000, when Spain had reached sixth position 1. Earlier versions of this paper were presented at the International Conference of Au- tomotive History (Philadelphia 2012), the 16th World Economic History Congress (Stellen- bosch 2012), and the 3rd Economic History Congress of Latin America (Bariloche 2012). I would like to thank the participants in the former meetings for their comments and sugges- tions. This research benefitted from the financial support of the Spanish Ministry of Econo- my (MINECO) and the European Regional Development Fund (ERDF) through the projects HAR2012-33298 (Cycles and industrial development in the economic history of Spain) and HAR2015-64769-P (Industrial crisis and productive recovery in the Spanish history). -
Ζ−1 Using Theorem 1.2
UC San Diego UC San Diego Electronic Theses and Dissertations Title Ihara zeta functions of irregular graphs Permalink https://escholarship.org/uc/item/3ws358jm Author Horton, Matthew D. Publication Date 2006 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California UNIVERSITY OF CALIFORNIA, SAN DIEGO Ihara zeta functions of irregular graphs A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics by Matthew D. Horton Committee in charge: Professor Audrey Terras, Chair Professor Mihir Bellare Professor Ron Evans Professor Herbert Levine Professor Harold Stark 2006 Copyright Matthew D. Horton, 2006 All rights reserved. The dissertation of Matthew D. Horton is ap- proved, and it is acceptable in quality and form for publication on micro¯lm: Chair University of California, San Diego 2006 iii To my wife and family Never hold discussions with the monkey when the organ grinder is in the room. |Sir Winston Churchill iv TABLE OF CONTENTS Signature Page . iii Dedication . iv Table of Contents . v List of Figures . vii List of Tables . viii Acknowledgements . ix Vita ...................................... x Abstract of the Dissertation . xi 1 Introduction . 1 1.1 Preliminaries . 1 1.2 Ihara zeta function of a graph . 4 1.3 Simplifying assumptions . 8 2 Poles of the Ihara zeta function . 10 2.1 Bounds on the poles . 10 2.2 Relations among the poles . 13 3 Recovering information . 17 3.1 The hope . 17 3.2 Recovering Girth . 18 3.3 Chromatic polynomials and Ihara zeta functions . 20 4 Relations among Ihara zeta functions . -
Prof. Dr. Phil. Rudolfkochendörffer (21.11.1911 - 23.8.1980) Bestandsverzeichnis Aus Dem Wissenschaftsarchiv Der Universität Dortmund
Mitteilungen aus der Universitätsbibliothek Dortmund Herausgegeben von Valentin Wehefritz Nr.5 Prof. Dr. phil. RudolfKochendörffer (21.11.1911 - 23.8.1980) Bestandsverzeichnis aus dem Wissenschaftsarchiv der Universität Dortmund Mit Beiträgen von Prof. Dr. Albert Sc1uleider (Dortmund) und Prof. Dr. Hans Rohrbach (Mainz) Dortmund 1985 Dieses Dokument ist urheberrechtlich geschützt! Inhaltsverzeichnis Vorwort des Herausgebers 5 Geleitwort des Dekans des Fachbereiches Mathematik 5 Prof.Dr.phi]. Rudalf Kochendörffer, 21.11.1911 - 23.8.1980. Von Albert Schneider 7 Rudalf Kochendörffer als Forscher. Von Hans Rohrbach 15 Bestandsverzeichnis 41 Rudolf Kochendörffer als Studierender 43 Rudalf Kochendörffer als Forscher 57 Rudalf Kochendörffer als Herausgeber 69 Rudalf Kochendörffer als Referent mathematischer Literatur 83 Rudolf Kochendörffer als akade m:ischer Lehrer 87 Lehrrucher und Aufsätze 89 Vorlesungen 94 W:issenscha.ft1iche PIÜfungsarbeiten 109 Verschiedene biographische Doku mente 117 Personenregister 127 Signaturenreg:ister 129 -5 Vorwort des Hera1.lS3ebers. Nachdem die Univetsitätsb:i.bliDt:hek Dortmund 1980 das Nachlaßverzeichnis von Prof. Dr. Werner Dittmar herausgegeben hat, legt die B:ibliothek nun das Bestandsverzeichnis des wissenschaftlichen Nachlasses von Prof. Dr. Kochendörffer der Öffentlichkeit vor. Das Verzeichnis wird durch die Aufsätze von Albert Schncider und Hans Rohrbach zu einer umfassenden würdigung Rudalf Kochendörffers. Professor Kochendörffer hat durch sein hohes Ansehen in der wissenschaftlichen Welt wesentlich zur Festigung des Rufes der jungen Universität Dortmund beigetragen. Die würdigung, die diese Schrift darstellt, ist auch als Dank der Univetsität Dortmund zu verstehen, der Professor Kochendömer gebührt. Dortmund, d. 25.4.1985 Valentin Wehefritz Ltd. Bibliotheksdirektor Zum Geleit Die UniversitätsbibliDthek Dortmund unternimmt es hiermit in dankenswerter Weise, Leben und Werk unseres ehemaligen Abte:iJ.ungsmitgliedes Rudalf Kochendörffer zu dokumentieren. -
BERKELEY LOGO 6.1 Berkeley Logo User Manual
BERKELEY LOGO 6.1 Berkeley Logo User Manual Brian Harvey i Short Contents 1 Introduction :::::::::::::::::::::::::::::::::::::::::: 1 2 Data Structure Primitives::::::::::::::::::::::::::::::: 9 3 Communication :::::::::::::::::::::::::::::::::::::: 19 4 Arithmetic :::::::::::::::::::::::::::::::::::::::::: 29 5 Logical Operations ::::::::::::::::::::::::::::::::::: 35 6 Graphics:::::::::::::::::::::::::::::::::::::::::::: 37 7 Workspace Management ::::::::::::::::::::::::::::::: 49 8 Control Structures :::::::::::::::::::::::::::::::::::: 67 9 Macros ::::::::::::::::::::::::::::::::::::::::::::: 83 10 Error Processing ::::::::::::::::::::::::::::::::::::: 87 11 Special Variables ::::::::::::::::::::::::::::::::::::: 89 12 Internationalization ::::::::::::::::::::::::::::::::::: 93 INDEX :::::::::::::::::::::::::::::::::::::::::::::::: 97 iii Table of Contents 1 Introduction ::::::::::::::::::::::::::::::::::::: 1 1.1 Overview ::::::::::::::::::::::::::::::::::::::::::::::::::::::: 1 1.2 Getter/Setter Variable Syntax :::::::::::::::::::::::::::::::::: 2 1.3 Entering and Leaving Logo ::::::::::::::::::::::::::::::::::::: 5 1.4 Tokenization:::::::::::::::::::::::::::::::::::::::::::::::::::: 6 2 Data Structure Primitives :::::::::::::::::::::: 9 2.1 Constructors ::::::::::::::::::::::::::::::::::::::::::::::::::: 9 word ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 9 list ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 9 sentence :::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 9 fput :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: -
Marcel Minnaert, Astrofysicus 1893-1970
Marcel Minnaert, astrofysicus 1893-1970 De rok van het universum Leo Molenaar bron Leo Molenaar, Marcel Minnaert, astrofysicus 1893-1970. De rok van het universum. Balans, Amsterdam / Van Halewyck, Leuven 2003 Zie voor verantwoording: http://www.dbnl.org/tekst/mole016marc01_01/colofon.htm © 2007 dbnl / Leo Molenaar 4 In deze tijd heeft wat men altijd noemde Schoonheid, schoonheid haar gezicht verbrand Zij troost niet meer de mensen Zij troost de larven de reptielen de ratten Maar de mens verschrikt zij En treft hem met het besef Een broodkruimel te zijn op de rok van het universum (Uit Lucebert, ik tracht op poëtische wijze, Verzamelde gedichten, Amsterdam 2002, pag. 52) Leo Molenaar, Marcel Minnaert, astrofysicus 1893-1970 7 Proloog Marcel Minnaert (1893-1970): Erflater van de Groot-Nederlandse beschaving Er zijn heel wat mensen voor wie de naam van Minnaert nog een dierbare klank heeft. Dat geldt in ieder geval voor leraren in de natuurwetenschap die houden van waarnemingen in de vrije natuur. Mijn eerste kennismaking met hem had dan ook plaats via de Minnaert: zo heten de drie delen van De Natuurkunde van 't Vrije Veld die ik omstreeks 1970 heb aangeschaft. De eerste druk van dit boek verscheen eind jaren dertig. In de jaren negentig kwamen van het eerste deel van Minnaerts trilogie, Licht en kleur in het landschap, nieuw geïllustreerde uitgaven in het Engels en Duits op de markt naast de herdruk van de Minnaert in het Nederlands. Het is dan ook een uniek boek. Minnaert had vijfentwintig jaar lang natuurverschijnselen geobserveerd, daar aantekeningen van gemaakt en onderzoek gedaan naar de fysische verklaringen. -
Ihara Zeta Functions
Audrey Terras 2/16/2004 fun with zeta and L- functions of graphs Audrey Terras U.C.S.D. February, 2004 IPAM Workshop on Automorphic Forms, Group Theory and Graph Expansion Introduction The Riemann zeta function for Re(s)>1 ∞ 1 −1 ζ ()sp== 1 −−s . ∑ s ∏ () n=1 n pprime= Riemann extended to all complex s with pole at s=1. Functional equation relates value at s and 1-s Riemann hypothesis duality between primes and complex zeros of zeta See Davenport, Multiplicative Number Theory. 1 Audrey Terras 2/16/2004 Graph of |Zeta| Graph of z=| z(x+iy) | showing the pole at x+iy=1 and the first 6 zeros which are on the line x=1/2, of course. The picture was made by D. Asimov and S. Wagon to accompany their article on the evidence for the Riemann hypothesis as of 1986. A. Odlyzko’s Comparison of Spacings of Zeros of Zeta and Eigenvalues of Random Hermitian Matrix. See B. Cipra, What’s Happening in Math. Sciences, 1998-1999. 2 Audrey Terras 2/16/2004 Dedekind zeta of an We’ll algebraic number field F, say where primes become prime more ideals p and infinite product of about number terms field (1-Np-s)-1, zetas Many Kinds of Zeta Np = norm of p = #(O/p), soon O=ring of integers in F but not Selberg zeta Selberg zeta associated to a compact Riemannian manifold M=G\H, H = upper half plane with arc length ds2=(dx2+dy2)y-2 , G=discrete group of real fractional linear transformations primes = primitive closed geodesics C in M of length −+()()sjν C ν(C), Selberg Zs()=− 1 e (primitive means only go Zeta = ∏ ∏( ) around once) []Cj≥ 0 Reference: A.T., Harmonic Analysis on Symmetric Duality between spectrum ∆ on M & lengths closed geodesics in M Spaces and Applications, I.