DOCSLIB.ORG

Algorithmic Computation of Exponents for Linear Differential Systems

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

IRMA Lectures in Mathematics and Theoretical Physics 3 Edited by Vladimir G. Turaev Institut de Recherche Mathe´matique Avance´e Universite´ Louis Pasteur et CNRS 7 rue Rene´ Descartes 67084 Strasbourg Cedex France IRMA Lectures in Mathematics and Theoretical Physics 1 Deformation Quantization, Gilles Halbout (Ed.) 2 Locally Compact Quantum Groups and Groupoids, Leonid Vainerman (Ed.) From Combinatorics to Dynamical Systems Journe´es de Calcul Formel Strasbourg, March 22Ϫ23, 2002 Editors F. Fauvet C. Mitschi ≥ Walter de Gruyter · Berlin · New York Editors Fre´de´ric Fauvet, UFR de Maths et IRMA Ϫ CNRS UMR 7501, Universite´ Louis Pasteur, 7, rue Rene´ Descartes, 67084 Strasbourg Cedex, France, e-mail: [email protected] Claude Mitschi UFR de Maths et IRMA Ϫ CNRS UMR 7501, Universite´ Louis Pasteur, 7, rue Rene´ Descartes, 67084 Strasbourg Cedex, France, e-mail: [email protected] Series Editor Vladimir G. Turaev Institut de Recherche Mathe´matique Avance´e (IRMA), Universite´ Louis Pasteur Ϫ C.N.R.S., 7, rue Rene´ Descartes, 67084 Strasbourg Cedex, France, e-mail: [email protected] Mathematics Subject Classification 2000: 11-04; 05E99, 11M99, 12H05, 12H10, 32C38, 33E05, 34A25, 34A30, 34A34, C20, 34E05, 34E10, 34M25, 34M30, 34M35, 40A05, 40D05, 68W30, 70F07, 70H05, 70H06 Physics and Astronomy Classification SchemeϪ1995: 02.30.Ϫf, 0260.Ϫx, 02.70.Ϫc, 05.45.ϩb, 47.27.Ϫi, 82.40.Ϫg Key words: Multiple zeta values, free Lie algebras, quasi-symmetric functions, irregular singularities, normal forms, mero- morphic connections, ordinary differential equations, Gevrey asymptoticity, differential Galois theory, Lokta- Volterra systems, equation of Kuramoto and Sivashinsky, unidimensional cubic complex equation of Ginzburg and Landau, hybrid automaton and modeling, optimal control, nonlinear ordinary differential equations. Țȍ Printed on acid-free paper which falls within the guidelines of the ANSI to ensure permanence and durability. Library of Congress Cataloging-in-Publication Data From combinatorics to dynamical systems : journe´es de calcul formel, Strasbourg, March 22Ϫ23, 2002 / editors F. Fauvet, C. Mitschi. p. cm. Ϫ (IRMA lectures in mathematics and theoretical physics ; 3) Includes bibliographical references. ISBN 3-11-017875-3 (alk. paper) 1. Algebra Ϫ Data Processing Ϫ Congresses. I. Fauvet, F. (Fre´de´- ric). II. Mitschi, C. (Claude). III. Series. QA155.7.E4F76 2003 512Ϫdc22 2003062471 ISBN 3-11-017875-3 Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at Ͻhttp://dnb.ddb.deϾ. Ą Copyright 2003 by Walter de Gruyter GmbH & Co. KG, 10785 Berlin. All rights reserved, including those of translation into foreign languages. No part of this book may be repro- duced in any form or by any means, electronic or mechanical, including photocopy, recording, or any informa- tion storage and retrieval system, without permission in writing from the publisher. Printed in Germany. Cover design: I. Zimmermann, Freiburg. Depicted on the cover is the Strasbourg Cathedral. Typeset using the authors’ TEX files: I. Zimmermann, Freiburg. Printing and binding: Hubert & Co. GmbH & Co. KG, Göttingen. Preface This volume presents the proceedings of the Conference “Journées de calcul formel en l’honneur de Jean Thomann”, which took place at IRMA in March 2002. This meeting was aimed at bringing together mathematicians working in various areas of Thomann’s interests, specifically in dynamical systems, computer algebra, and theoretical physics. Jean Thomann was born on June 30, 1936, in Strasbourg. He received his math- ematical education in Strasbourg where among his professors were Marcel Berger, Jean-Louis Koszul and René Thom. While a research engineer with the IN2P3, In- stitut National de Physique des Particules, he worked at the Institut de Recherche Nucléaire, at the Centre de Calcul du CNRS in Strasbourg, and at IRMA. It is important to mention that the present volume has historical ties to the proceed- ings(1), (2), (3)ofthree pioneering workshops “Computer Algebra and Differential Equations” (CADE) held in Grenoble 1988, Cornell 1990, Luminy 1992. These pro- ceedings have become standard references in the area, and as with these classical texts, this volume includes papers of both theoretical and applied nature. The unifying theme of these proceedings is computer algebra. As for the orga- nization of the material, the book begins with articles of combinatorial or algebraic nature, then proceeds to articles involving more analytical tools. The book includes a foreword by Jean-Pierre Ramis (in French) followed by nine articles. The first paper by M. Espie, J.-C. Novelli and G. Racinet is devoted to compu- tations in certain graded Lie algebras related to multiple zeta values. Some of these computations have been implemented in computer algebra systems with an unexpected experimental result leading to a new conjecture. The next four articles study differ- ential systems with irregular singularities from algebraic as well as analytic points of view. The article of E. Corel gives an algebraic and algorithmic treatment of for- mal exponents at an irregular singularity and provides new and effective methods for computing such exponents and exponential parts for solutions of linear differential systems. The article of J. L. Martins studies irregular meromorphic connections in higher dimensions based on the seminal work of C. Sabbah. Using essentially alge- braic techniques, the author obtains results concerning the summability of solutions. The paper of M. A. Barkatou, F. Chyzak and M. Loday-Richaud describes and com- pares various algorithms concerning the rank reduction of differential systems. It is 1Computer Algebra and Differential Equations, edited by E. Tournier, Academic Press, 1989 2Differential Equations and Computer Algebra, edited by M. F. Singer, Academic Press, 1991 3Computer Algebra and Differential Equations, London Math. Soc. Lecture Note Ser. 193, edited by E. Tournier, Cambridge University Press, 1994 vi Preface intimately related to questions of classification of irregular connections and compu- tations of differential Galois groups. The article of M. Canalis-Durand presents new formal and numerical algorithms providing estimates of the growth of coefficients for a certain type of divergent series which are ubiquitous in dynamical systems with irregular singularities, such as in Quantum Field Theory. The next three papers contain effective calculations, formal and numerical, for dy- namical systems arising from certain questions in physics. The article of D. Boucher and J.-A. Weil presents computations of non-integrability of Hamiltonian systems, based on the Morales-Ramis theorem in differential Galois theory. The paper of L. Brenig uses the Quasi Polynomial formalism and generalized Lotka–Volterra nor- mal forms to obtain effective integrability for some dynamical systems, with interesting combinatorial consequences. The article of R. Conte, M. Musette and T.-L. Yee in- volves computations of Padé approximants related to concepts of analytic integrability of equations of physical significance with chaotic behaviour. The article of J. Della Dora and M. Mirica-Ruse explains a new mathematical formalization of the recent concept of hybrid systems, with ideas and techniques from dynamical systems and automata theory. This conference was supported by IRMA (Strasbourg), with additional financing by Institut IMAG (Grenoble), Institut Universitaire de France and Université d’Angers, which we thankfully acknowledge. We express our gratitude to Jean-Pierre Ramis for his constant support, to the director and the staff of IRMA for their help during the Conference, to Vladimir Turaev, editor of the IRMA Lectures in Mathematics and Theoretical Physics for kindly suggesting to publish these proceedings, and to the mathematics editor of de Gruyter. Strasbourg, September 2003 Frédéric Fauvet and Claude Mitschi Table of Contents Preface ....................................................................v Hommage à Jean Thomann by Jean-Pierre Ramis .................................ix Marc Espie, Jean-Christophe Novelli, and Georges Racinet Formal computations about multiple zeta values................................1 Eduardo Corel Algorithmic computation of exponents for linear differential systems ............17 José Luis R. F. Martins Sur les représentations de solutions formelles d’équations différentielles.........63 Moulay Barkatou, Frédéric Chyzak et Michèle Loday-Richaud Remarques algorithmiques liées au rang d’un opérateur différentiel linéaire ......87 Mireille Canalis-Durand Gevrey normal form of systems of differential equations with a nilpotent linear part ................................................................131 Delphine Boucher and Jacques-Arthur Weil Application of J.-J. Morales and J.-P. Ramis’ theorem to the planar three-body problem .......................................................163 Léon Brenig On a constructive approach to the solution of dynamical systems ..............179 T.-L. Yee, R. Conte et M. Musette Sur la “solution analytique générale” d’une équation différentielle chaotique....195 Jean Della Dora and Mihaela Mirica-Ruse Hybrid Systems ..........................................................213 Jean Thomann Hommage à Jean Thomann En préambule à ce volume d’hommage à Jean Thomann, je voudrais évoquer quelques souvenirs de notre aventure
Recommended publications
  • Time Prophecy with History and Archaeology

    Time Prophecy with History and Archaeology

    Time and Prophecy Time and Prophecy A Harmony of Time Prophecy with History and Archaeology July, 1995 (Reformatted July, 2021) Inquiries: [email protected] Table of Contents Preface . 1 Section 1 The Value of Time Prophecy . 3 Section 2 The Applications of William Miller . 6 Section 3 Time Features in Volumes 2, 3 . 10 Section 4 Connecting Bible Chronology to Secular History . 12 Section 5 The Neo-Babylonian Kings . 16 Section 6 The Seventy Years for Babylon . 25 Section 7 The Seven Times of Gentile Rule . 29 Section 8 The Seventy Weeks of Daniel Chapter 9 . 32 Section 9 The Period of the Kings . 36 Section 10 Seven Times from the Fall of Samaria . 57 Section 11 From the Exodus to the Divided Kingdom . 61 Section 12 430 Years Ending at the Exodus . 68 Section 13 Summary and Conclusions . 72 Appendix A Darius the Mede . 75 Appendix B The Decree of Cyrus . 80 Appendix C VAT 4956 (37 Nebuchadnezzar) . 81 Appendix D Kings of Judah and Israel . 83 Appendix E The End of the Judean Kingdom . 84 Appendix F Egyptian Pharaohs, 600-500s bc . 89 Appendix G The Canon of Ptolemy . 90 Appendix H Assyrian Chronology . 99 Appendix I The Calendar years of Judah . 104 Appendix J Years Counting from the Exodus . 107 Appendix K Nineteen Periods in Judges and 1 Samuel . 110 Appendix L Sabbatic and Jubilee Cycles . 111 Appendix M Route Through the Wilderness . 115 Appendix N Chronology of the Patriarchs . 116 Endnotes . 118 Bibliography . 138 Year 2000 Update Please Note: Update on Section 12 Dear Reader — In Section 12, beginning on page 73, we considered three options for the begin- ning of the 430 years of Exodus 12:40, and recommended the “Third Option” — beginning with the birth of Reuben — which would reconcile 6000 years ending in 1872 .
  • Ancient Records of Egypt 1

    Ancient Records of Egypt 1

    ANCIENT RECORDS OF EGYPT HISTORICAL DOCUMENTS FROM THE EARLIEST TIMES TO THE PERSIAN CONQUEST, COLLECTED EDITED AND TRANSLATED WITH COMMENTARY BY JAMES HENRY |REASTED, Ph.D. FBOFESSOB OP EGYPTOLOGY AND OBIGNTAL HISTOET IN THE UNIVEESITY OF CHICAGO VOLUME I THE FIRST TO THE SEVENTEENTH DYNASTIES CHICAGO THE UNIVERSITY OF CHICAGO PRESS 1906 LONDON: LUZAC & CO. LEIPZIG: OTTO HAERASSOWITZ T ^^/v/,^1 I i; I Mm;; J v.l COPYRIOHT 1906, Bt The Univbebity op Chicago Published February 1906 B S CompoBod and Printed B7 The VnWeTBity oC Chicago Preas Chicago, Illinois, U.S. A. THESE VOLUMES ARE DEDICATED TO MARTIN A. RYERSON NORMAN W. HARRIS MARY H. WILMARTH PREFACE In no particular have modem historical studies made greater progress than in the reproduction and publication of documentary sources from which our knowledge of the most varied peoples and periods is drawn. In American history whole libraries of such sources have appeared or are promised. These are chiefly in English, although the other languages of Europe are of course often largely represented. The employment of such sources from the early epochs of the world's history involves either a knowledge of ancient languages on the part of the user, or a complete rendition of the documents into English. No attempt has ever been made to collect and present all the sources of Egyptian history in a modem language. A most laudable beginning in this direction, and one that has done great service, was the Records of the Past; but that series never attempted to be complete, and no amount of editing could make con- sistent with themselves the uncorrected translations of the large number of contributors to that series.
  • Traditional & Modern Golic Vulcan

    Traditional & Modern Golic Vulcan

    TRADITIONAL & MODERN GOLIC VULCAN - FEDERATION STANDARD ENGLISH DICTIONARY (компиляция от Агентства Переводов WordHouse) ABBREVIATIONS (anc.) from an ancient source which may or may not be in the Golic linguistic family (IGV) used only in Insular Golic Vulcan (but occasionally as a synonym in TGV & MGV) (LGV) used only in Lowlands Golic Vulcan (but occasionally as a synonym in TGV & MGV) (MGV) used only in Modern Golic Vulcan (NGS) a non-Golic word used by at least some Golic speakers (obs.) considered obsolete to most speakers of Golic Vulcan, but still might be used in ceremonies, literature, etc. (TGV) used only in Traditional Golic Vulcan All other abbreviations are standard dictionary abbreviations. A A'gal \ ɑ - ' gɑl \ -- proton (SST) A'gal-lushun -- proton torpedo Abru-spis -- anticline A'ho -- hello Abru-su'us -- numerator A'rak-, A'rakik \ ɑ - ' rɑk \ -- positive (polarity) Abru-tchakat -- camber (eng., mech.) A'rak-falun -- positive charge Abru-tus -- overload (n.) A'rak-falun-krus -- positive ion Abru-tus-nelayek -- overload suppressor A'rak-narak'es -- positive polarity Abru-tus-tor -- overload (v.) Aberala \ ɑ - be - ' rɑ - lɑ \ -- aerofoil, airfoil Abru-tvi-kovtra -- asthenosphere Aberala-tchakat \ - tʃɑ - ' kɑt \ -- camber (aero.) Abru-vulu -- obtuse angle Aberayek \ ɑ - be - ' rɑ - jek \ -- crane (n.) Abru-yetural-, Abru-yeturalik -- overdriven (adj.) Aberofek \ ɑ - be - ' ro - fek \ -- derrick Abru-zan-mev -- periscope Abevipladau -- dub (v.) Abrukhau -- dominate Abi' \ ɑ - ' bi \ -- until (prep.) Abrumashen-, abrumashenik
  • This Entire Document

    This Entire Document

    VOLUME 33, NO. 23. PHILADELPHIA, AUGUST 26, 1899. PRICE, FIVE CENTS. CINCINNATI CHEERED WILL GO IT ALONE. LIKEL? TO BE WESTERN CRAM- ILLINOIS WANTS NO MORE HYPHEN PIONS ANYHOW. ATED LEAGUE. Confident ol Being the Leading Western The Greatest State in the West Will Team in the First Division Cause Next Season Have a Purely State ol the Slump in New York- Jack Organization The Thing Taylor©s Second Fall From Grace, Engineered Even Now. Cincinnati, O., Aug. 21. Editor "Sport- Chicago, III, August 20. Editor "Sport lug Life:©© The Reds made their reappear ing Life." It is said to be a foregone ance at home and received a cordial wel conclusion that with the close of the pres come, but naven©t recovered from tlie slump ent season the Indiana-Illinois League at New York, Having rather taken the edge will go out of existence, and that off local enthusiasm. The game put up next spring an Illinois League will be formed, yesterday against St. Louis also seemed to which will probably include Terre Haute, but no put a further damper upon the team©s friends and other Indiana city. Correspondence is partisans. However, the Pittsburgs come to-day NOW IN PROGRESS for their last local appearance of the season, looking to the organization of a circuit embrac and this may give the Reds© a chance to re- ing Dauville, Bloomington, Springfield, Quiucy, Instate themselves in local favor. Peoria, Lincoln. Uecatur and Terre Haute. This is compact enough to satisfy any of the grumb AN AWFUL FALL. lers who are complaining of the long jumps The Reds left New York In anything but a from Illinois towns to Wabash and Crawfords- pleasant frame of mind.
  • Finite Element Simulations of Steady Viscoelastic Free-Surface Flows by Todd Richard Salamon

    Finite Element Simulations of Steady Viscoelastic Free-Surface Flows by Todd Richard Salamon

    Finite Element Simulations of Steady Viscoelastic Free-Surface Flows by Todd Richard Salamon B. S. Chemical Engineering, University of Connecticut, Storrs (1989) B. S. Chemistry, University of Connecticut, Storrs (1989) Submitted to the Department of Chemical Engineering in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY September 1995 Instituteof TeLhnology 1995. All rights reserved. @ Massachusetts Institute of Technology 1995. All rights reserved. Author ............... ....... ...... ...... ... ........ Department of Chemical Engineering Septerrper 26, 1995 Certified by ........... ................ .. ......... Robert A. Brown Professor of Chemical Engineering Thesis Supervisor Certified by.... .......... ... ... ... .... ... ... ... .... .. y..... .. Robert C. Armstrong Professor of Chemical Engineering Thesis Supervisor Accepted by .... ;,iASSACHUSETTS INSTITUT E Robert E. Cohen OF TECHNOLOGY Graduate Officer, Department of Chemical Engineering MAR 2 2 1996 ARCH'IVaS LIBRARIES Finite Element Simulations of Steady Viscoelastic Free-Surface Flows by Todd Richard Salamon Submitted to the Department of Chemical Engineering on September 26, 1995, in partial fulfillment of the requirements for the degree of Doctor of Philosophy Abstract Many polymer processing flows, such as the spinning of a nylon fiber, have a free sur- face, which is an interface between the polymeric liquid and another fluid, typically a gas. Along with the free surface and the complex rheological behavior of the poly- meric liquid these flows are further complicated by wetting phenomena which occur at the attachment point of this free surface with a solid boundary where a three-phase juncture, or contact line, is formed. This thesis is concerned with developing accurate and convergent finite element simulations of steady, viscoelastic free-surface flows in domains with and without contact lines.
  • Pharaoh Chronology (Pdf)

    Pharaoh Chronology (Pdf)

    Egypt's chronology in sync with the Holy Bible by Eve Engelbrite (c)2021, p1 Egypt's Chronology in Synchronization with the Bible This Egyptian chronology is based upon the historically accurate facts in the Holy Bible which are supported by archaeological evidence and challenge many assumptions. A major breakthrough was recognizing Joseph and Moses lived during the reigns of several pharaohs, not just one. During the 18th dynasty in which Joseph and Moses lived, the average reign was about 15 years; and Joseph lived 110 years and Moses lived 120 years. The last third of Moses' life was during the 19th dynasty. Though Rameses II had a reign of 66 years, the average reign of the other pharaohs was only seven years. Biblical chronology is superior to traditional Egyptian chronology Joseph was born in 1745 BC during the reign of Tao II. Joseph was 17 when he was sold into slavery (1728 BC), which was during the reign of Ahmose I, for the historically accurate amount of 20 pieces of silver.1 Moses (1571-1451 BC) was born 250 years after the death of the Hebrew patriarch, Abraham. Moses lived in Egypt and wrote extensively about his conversations and interactions with the pharaoh of the Hebrews' exodus from Egypt; thus providing a primary source. The history of the Hebrews continued to be written by contemporaries for the next thousand years. These books (scrolls) were accurately copied and widely disseminated. The Dead Sea Scrolls contained 2,000 year old copies of every book of the Bible, except Esther, and the high accuracy of these copies to today's copies in original languages is truly astonishing.
  • Histoire Économique Et Sociale De L'ancienne Égypte

    Histoire Économique Et Sociale De L'ancienne Égypte

    HISTOIRE ECONOMIQUE ET SOCIALE DE L'ANCIENNE EGYPTE DU MÊME AUTEUR MÉMOIRES L'Amélioration des communications Escaut-Rhin; la question du Moer- dijk (Prix du Fonds de vulgarisation de la batellerie rhénane belge, Bruxelles, 1931). — Hors du commerce. Le Statut contemporain des étrangers en Egypte; vers une réforme du régime capitulaire (préface de C. Van Ackere, vice-président de la Cour d'appel mixte d'Egypte); 1 vol. in-81, 274 pages; Paris, Recueil Sirey, 1933. Histoire économique et sociale de l'Ancienne Egypte; tome Ier : Des ori- gines aux Thinites; 1 vol. in-So, 305 pages; Paris, A. Picard, 1936; tome II : La vie économique sous l'Ancien Empire; 1 vol. in-8°, 301 pages; Paris, A. Picard, 1936 (préface de J. Pirenne, professeur à l'Université de Bruxelles). ETUDES DIVERSES Les Rhein-Ruhr Hâfen; Duisbourg-Ruhrort (Revue des Sciences écono- miques, Liége, février 1932, 13 pages). L'Etat égyptien et les Etrangers en Matière d'Imposition directe (ibid., octobre 1932, 39 pages. Une Economie ancienne : Alexandrie des Ptolémées (ibid., juin 1933, 36 pages). Crise des Libertés démocratiques (ibid., février 1936, 11 pages). J. Pirenne et l'Evolution juridique de l'Ancien Empire égyptien (ibid., avril 1936, 8 pages). L'Economie dirigée (Etudes commerciales et financières, Mons, décem- bre 1936, 15 pages). L'Industrie et les Ouvriers sous l'Ancien Empire égyptien (Annales de la Société scientifique de Bruxelles, série D, Sciences économiques, t. LVI, 1936, 15 pages). Les Relations extérieures de l'Ancien Empire égyptien (Revue belge des Sciences commerciales, Bruxelles, nos 205-206, janvier-février 1937, 16 pages).
  • The DAILY EASTERN NEWS EASTERN ILLINOIS UNIVERSITY, CHARLESTON Friday | 2.8.08 VOL

    The DAILY EASTERN NEWS EASTERN ILLINOIS UNIVERSITY, CHARLESTON Friday | 2.8.08 VOL

    Eastern Illinois University The Keep February 2008 2-8-2008 Daily Eastern News: February 08, 2008 Eastern Illinois University Follow this and additional works at: http://thekeep.eiu.edu/den_2008_feb Recommended Citation Eastern Illinois University, "Daily Eastern News: February 08, 2008" (2008). February. 6. http://thekeep.eiu.edu/den_2008_feb/6 This Article is brought to you for free and open access by the 2008 at The Keep. It has been accepted for inclusion in February by an authorized administrator of The Keep. For more information, please contact [email protected]. “TELL THE TRUTH AND DON’T BE AFRAID” WWW.DENNEWS.COM The DAILY EASTERN NEWS EASTERN ILLINOIS UNIVERSITY, CHARLESTON FRIDAY | 2.8.08 VOL. 95 | ISSUE 24 CamPUS | Rotc naTION | election 2008 Romney suspends campaign The Associated Press WASHINGTON — John McCain effectively sealed the Repub- lican presidential nomination on Thursday as chief rival Mitt Romney suspended his faltering campaign. “I must now stand aside, for our party and our country,” Romney told conservatives. “If I fight on in my campaign, all the way to the convention, I would forestall the launch of a nation- al campaign and make it more like- ly that Senator (Hillary) Clinton or (Barak) Obama would win. And in this time of war, I simply cannot let my campaign, be a part of aiding a surrender to terror,” Romney told the Conservative Political Action Conference in Washington. McCain and Romney spoke by phone after Romney’s speech, though no endorsement was requested nor offered, according to a Republican official with knowledge of the con- versation. McCain prevailed in most of the KEVIN KENEALY | THE DAILY EASTERN NEWS Super Tuesday states, moving clos- ROTC cadets do static load training in a UH60 Blackhawk in the quad south of the Tarble Arts Center on Thursday.
  • V~Flseas-D~~~.~ ADVERT.Lbers DEPAR JU.DI

    V~Flseas-D~~~.~ ADVERT.Lbers DEPAR JU.DI

    . I ~V~flSEas-D~~~.~ ADVERT.lBERS DEPAR JU.DI- . • • ~ • - • • • • • • • • • • • • • • • • • • • • • • • • t I ''Like a Lond og' • > -l ~1 . I _Louis Hai is Pres. • 'I . •I 1 ee1nan L. Kni ht Exec. ice-Pres. I . .. t F. Cha1les Giffo1d, Vice Pres. I . I J. S -cClintock, ashier .if . Hazel . S artwout, A st. ashie . •I . t i J. Dou las Bake1, Asst. ashier .. , g p r DEPOSITS I RED o Revo e SEC 0 ES . est Palm Beach Fla. Tampa Fla. A.J""-JTABLI HED 1914 . 1anu,. ·l a. Daytona a. 4 0 GS . ,, " a n t • • t • • • • • ' • ~-, •• t• · •• ~· , •. •• •t •••• , • . • • • • •• • • ••••••••• Whea Wrttlng ·Advertlaen Pleue Mention DlrectoJT ~ ac!Yertlaer . please mentl tbe DLrectorr s AD EPAR - - : ; =; =: =: =-: : =::=:;:::= 'l:i1:. -:sq- z.i.z - - - I • I• d e I. ---- n a n1na a a n1 n C la , r, anrl . 1 E _....,'l f 1,14 D . OW ER · P. 0 . BOX 952 • AS EVI LE N. C M:embe As oci e Ad ertising Club of he World .. I 6 .. • 0 34 J 1 • bin ·id JnO"i·. - r -,. all in ic t .. n I I e .Office o. 44 3. -- F Pl . G. F , ii • • THE: Ml L Wh . T ENE YO K • 7 . - ADVERTl ER• DEPARTMENT 6 LI LIB RA Y ADVERTISERS- DEPARTMENT &:t====-= r==:=t. =================~ • • ERS A 9 , LENOX At('g ERAL I DEX I DEX TO ADV'ERT lL..DILN f OUNDATJON ft 1-~~ L Pag Page • County (Vero Depart- • Gold1Jmith . • . .. · • • •· .... • · • Adv rt1 r , p ci I Direct~ry •...• 2-24 ....................... 209-2·28-D ek r F F:re , V ro B ach Fla ..
  • Mandatory War in the State of Israel & the IDF Code of Ethics

    Mandatory War in the State of Israel & the IDF Code of Ethics

    Seton Hall University eRepository @ Seton Hall Theses Summer 6-2012 Mandatory War in the State of Israel & The IDF Code of Ethics Michal Fine Seton Hall University Follow this and additional works at: https://scholarship.shu.edu/theses Part of the Jewish Studies Commons Recommended Citation Fine, Michal, "Mandatory War in the State of Israel & The IDF Code of Ethics" (2012). Theses. 232. https://scholarship.shu.edu/theses/232 I• .j 1 Seton Hall University 1 MANDATORY WAR IN THE STATE OF I ISRAEL 1 i & I f I I TH E IDF CODE OF ETmcs ! ! A Thesis submitted to the Faculty ofthe Graduate Program in Jewish-Christian Studies In partial fulfillment ofthe requirements for the degree ofMaster ofArts By Michal Fine South Orange, NJ December 2011 1 Approved ~C.~ML Mentor Date Date Member ofthe Thesis Committee Date ii Basic Values ofIsrael Defense Force (lDF): Difense ofthe State, its Citizens and its Residents - The IDF's goal is to defend the existence of the State ofIsrael, its independence and the security ofthe citizens and residents ofthe state. Love ofthe Homeland and Loyally to the Country - At the core ofservice in the IDF stand the love ofthe homeland and the commitment and devotion to the State ofIsrael-a democratic state that serves as a national home for the Jewish People-its citizens and residents. Human Dignity - The IDF and its soldiers are obligated to protect human dignity. Every human being is ofvalue regardless ofhis or her origin, religion, nationality, gender, status or position. - IDFCodeofEthicr­ I I ~ ~ CONTENTS 1 I ACKN"OWLEDGEMENTS ................'.....................................................v t i ABREVIATIONS..................................................................................vi INlRODUCTION ................................................................................
  • Kőolaj És Földgáz Találat Az Északi-Tengeren

    Kőolaj És Földgáz Találat Az Északi-Tengeren

    yyq BÁNYÁSZATI ÉS KOHÁSZATI LAPOK KÕOLAJ ÉS FÖLDGÁZ AZ ORSZÁGOS MAGYAR BÁNYÁSZATI ÉS KOHÁSZATI EGYESÜLET LAPJA ALAPÍTOTTA PÉCH ANTAL 1868-BAN JÓ SZERENCSÉT! A tartalomból: Fordulat előtt Európa energetikája A koronavírus-járvány és a kőolaj Kétéltű járművek Szénhidrogén képződés a föld alatt 2020/2-3. szám 153. évfolyam yyq ÚJ IDŐPONT! 2020. 09. 29-30. BANYASZ_2020_ 2 3 szam belivM:BANYASZ_2016 5 6 szam javM.qxd 6/22/2020 10:35 AM Oldal 1 Bányászati és Kohászati Lapok „Lektorált lap” – MTA Magyar Tudományos Mûvek Tára Kõolaj és Földgáz Indexeli az EBSCO Publishing Inc. TARTALOM A szerkesztõség címe: 8300 Tapolca, Berzsenyi u. 13/D 9 DR. PETZ ERNŐ: Politikai fordulat előtt Európa energetikája . 3 DR. SZILÁGYI ZSOMBOR: A koronavírus-járvány és a kőolaj. 5 Bányászat Podányi Tibor felelõs szerkesztõ VANYA IMRE: Kétéltű járművek 40 éve a vasúti vontatás tel.: +36-30-2955-718 szolgálatában . 8 e-mail: [email protected] DR. LADÁNYI GÁBOR: Műszaki kihívások a tárgyak optikai azonosításában . 14 A szerkesztõ bizottság tagjai: dr. Csaba József (olvasószerkesztõ) VERBŐCI JÓZSEF: Változó természet, megújuló erőforrások, Bagdy István, Bariczáné Szabó Szilvia, szénhidrogén-képződés a földkéreg (litoszféra) alatt. 17 dr. Dovrtel Gusztáv, Erdélyi Attila, DR. KONCZ ISTVÁN: Az algyői telepeket övező szénhidrogén- dr. Földessy János, dr. Gagyi Pálffy felhalmozódások genetikája és migrációs modellje. 23 András, Gyõrfi Géza, dr. Horn János, Izingné Győrfi Mónika, Jankovics REMECZKI FERENC: Matematikai módszer a márga minták kialakítása Bálint, Kárpáty Erika, dr. Ladányi során keletkező mikrorepedések hatásának eliminálására. 27 Gábor, Livo László, Lois László, MOKÁNSZKI BÉLA: Az Eocén Program gépei Nagyegyházán . 32 dr. Mizser János, Pali Sándor, dr.
  • The Demotic Magical Papyrus of London and Leiden

    The Demotic Magical Papyrus of London and Leiden

    THE DEMOTIC MAGICAL PAPYRUS OF LONDON AND LEIDEN Downloaded from https://www.holybooks.com OXFORD: HORACE HART J'RINTER TO THE UNIVERSITY Downloaded from https://www.holybooks.com OXFORD AT THE CLARENDON PRESS LONDON EDINBURGH GLASGOW NEW YORK TORONTO MELBOURNE CAPE TOWN BOMBAY HUMPHREY MILFORD Downloaded1921 from https://www.holybooks.com THE DEMOTIC MAGICAL PAPYRUS OF LONDON AND LEIDEN EDITED BY F. LL. GRIFFITH READER IN EGYPTOLOGY IN THE UNIVERSITY OF OXFORD CORRESPONDING MEMBER OF THE ACADEMY OF SCIENCES AT BERLIN AND HERBERT THOMPSON LONDON H. GREVEL & CO. 33 KING STREET, STRAND, W.C. 1904 Downloaded from https://www.holybooks.com PREFACE THE MS., dating from the third century A. D., which is here edited for the first time in a single whole, has long been known to scholars. Its subject-matter­ magic and medicine-is not destitute of interest. It is closely connected with the Greek magical papyri from Egypt of the same period, but, being written in demotic, naturally does not reproduce the Greek hymns which are so important a feature of those papyri. The influence of purely Greek mythology also is here by comparison very slight-hardly greater than that of the Alexandrian Judaism which has supplied a number of names of Hellenistic form to the demotic magician. Mithraism has apparently contributed nothing at all : Christianity probably only a deformed reference to the Father in Heaven. On the other hand, as might have been expected, Egyptian mythology has an overwhelm­ ingly strong position, and whereas the Greek papyri scarcely go beyond Hermes, Anubis, and the Osiris legend, the demotic magician introduces Khons, Amon, and many other Egyptian gods.