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Dimensional Analysis and the Theory of Natural Units
LIBRARY TECHNICAL REPORT SECTION SCHOOL NAVAL POSTGRADUATE MONTEREY, CALIFORNIA 93940 NPS-57Gn71101A NAVAL POSTGRADUATE SCHOOL Monterey, California DIMENSIONAL ANALYSIS AND THE THEORY OF NATURAL UNITS "by T. H. Gawain, D.Sc. October 1971 lllp FEDDOCS public This document has been approved for D 208.14/2:NPS-57GN71101A unlimited release and sale; i^ distribution is NAVAL POSTGRADUATE SCHOOL Monterey, California Rear Admiral A. S. Goodfellow, Jr., USN M. U. Clauser Superintendent Provost ABSTRACT: This monograph has been prepared as a text on dimensional analysis for students of Aeronautics at this School. It develops the subject from a viewpoint which is inadequately treated in most standard texts hut which the author's experience has shown to be valuable to students and professionals alike. The analysis treats two types of consistent units, namely, fixed units and natural units. Fixed units include those encountered in the various familiar English and metric systems. Natural units are not fixed in magnitude once and for all but depend on certain physical reference parameters which change with the problem under consideration. Detailed rules are given for the orderly choice of such dimensional reference parameters and for their use in various applications. It is shown that when transformed into natural units, all physical quantities are reduced to dimensionless form. The dimension- less parameters of the well known Pi Theorem are shown to be in this category. An important corollary is proved, namely that any valid physical equation remains valid if all dimensional quantities in the equation be replaced by their dimensionless counterparts in any consistent system of natural units. -
Summary of Changes for Bidder Reference. It Does Not Go Into the Project Manual. It Is Simply a Reference of the Changes Made in the Frontal Documents
Community Colleges of Spokane ALSC Architects, P.S. SCC Lair Remodel 203 North Washington, Suite 400 2019-167 G(2-1) Spokane, WA 99201 ALSC Job No. 2019-010 January 10, 2020 Page 1 ADDENDUM NO. 1 The additions, omissions, clarifications and corrections contained herein shall be made to drawings and specifications for the project and shall be included in scope of work and proposals to be submitted. References made below to specifications and drawings shall be used as a general guide only. Bidder shall determine the work affected by Addendum items. General and Bidding Requirements: 1. Pre-Bid Meeting Pre-Bid Meeting notes and sign in sheet attached 2. Summary of Changes Summary of Changes for bidder reference. It does not go into the Project Manual. It is simply a reference of the changes made in the frontal documents. It is not a part of the construction documents. In the Specifications: 1. Section 00 30 00 REPLACED section in its entirety. See Summary of Instruction to Bidders Changes for description of changes 2. Section 00 60 00 REPLACED section in its entirety. See Summary of General and Supplementary Conditions Changes for description of changes 3. Section 00 73 10 DELETE section in its entirety. Liquidated Damages Checklist Mead School District ALSC Architects, P.S. New Elementary School 203 North Washington, Suite 400 ALSC Job No. 2018-022 Spokane, WA 99201 March 26, 2019 Page 2 ADDENDUM NO. 1 4. Section 23 09 00 Section 2.3.F CHANGED paragraph to read “All Instrumentation and Control Systems controllers shall have a communication port for connections with the operator interfaces using the LonWorks Data Link/Physical layer protocol.” A. -
A Symbol of Global Protec- 7 1 5 4 5 10 10 17 5 4 8 4 7 1 1213 6 JAPAN 3 14 1 6 16 CHINA 33 2 6 18 AF Tion for the Heritage of All Humankind
4 T rom the vast plains of the Serengeti to historic cities such T 7 ICELAND as Vienna, Lima and Kyoto; from the prehistoric rock art 1 5 on the Iberian Peninsula to the Statue of Liberty; from the 2 8 Kasbah of Algiers to the Imperial Palace in Beijing — all 5 2 of these places, as varied as they are, have one thing in common. FINLAND O 3 All are World Heritage sites of outstanding cultural or natural 3 T 15 6 SWEDEN 13 4 value to humanity and are worthy of protection for future 1 5 1 1 14 T 24 NORWAY 11 2 20 generations to know and enjoy. 2 RUSSIAN 23 NIO M O UN IM D 1 R I 3 4 T A FEDERATION A L T • P 7 • W L 1 O 17 A 2 I 5 ESTONIA 6 R D L D N 7 O 7 H E M R 4 I E 3 T IN AG O 18 E • IM 8 PATR Key LATVIA 6 United Nations World 1 Cultural property The designations employed and the presentation 1 T Educational, Scientific and Heritage of material on this map do not imply the expres- 12 Cultural Organization Convention 1 Natural property 28 T sion of any opinion whatsoever on the part of 14 10 1 1 22 DENMARK 9 LITHUANIA Mixed property (cultural and natural) 7 3 N UNESCO and National Geographic Society con- G 1 A UNITED 2 2 Transnational property cerning the legal status of any country, territory, 2 6 5 1 30 X BELARUS 1 city or area or of its authorities, or concerning 1 Property currently inscribed on the KINGDOM 4 1 the delimitation of its frontiers or boundaries. -
Operational Guidelines for the Implementation of the World Heritage Convention
WHC. 12/01 July 2012 Operational Guidelines for the Implementation of the World Heritage Convention UNITED NATIONS EDUCATIONAL, SCIENTIFIC AND CULTURAL ORGANISATION INTERGOVERNMENTAL COMMITTEE FOR THE PROTECTION OF THE WORLD CULTURAL AND NATURAL HERITAGE WORLD HERITAGE CENTRE The Operational Guidelines are periodically revised to reflect the decisions of the World Heritage Committee. Please verify that you are using the latest version of the Operational Guidelines by checking the date of the Operational Guidelines on the UNESCO World Heritage Centre Web address indicated below. The Operational Guidelines (in English and French), the text of the World Heritage Convention (in five languages), and other documents and information concerning World Heritage are available from the World Heritage Centre: UNESCO World Heritage Centre 7, place de Fontenoy 75352 Paris 07 SP France Tel : +33 (0)1 4568 1876 Fax : +33 (0)1 4568 5570 E-mail : [email protected] Links : http://whc.unesco.org/ http://whc.unesco.org/en/guidelines (English) http://whc.unesco.org/fr/orientations (French) ii Operational Guidelines for the Implementation of the World Heritage Convention TABLE OF CONTENTS Chapter Paragraph number number(s) ACRONYMS AND ABBREVIATIONS I. INTRODUCTION I.A The Operational Guidelines 1-3 I.B The World Heritage Convention 4-9 I.C The States Parties to the World Heritage Convention 10-16 I.D The General Assembly of States Parties to the World 17-18 Heritage Convention I.E The World Heritage Committee 19-26 I.F The Secretariat to the World Heritage Committee (the 27-29 World Heritage Centre) I.G The Advisory Bodies to the World Heritage Committee: 30-37 ⋅ ICCROM 32-33 ⋅ ICOMOS 34-35 ⋅ IUCN 36-37 I.H Other organizations 38 I.I Partners in the protection of World Heritage 39-40 I.J Other Conventions, Recommendations and Programmes 41-44 II. -
Natural Units Conversions and Fundamental Constants James D
February 2, 2016 Natural Units Conversions and Fundamental Constants James D. Wells Michigan Center for Theoretical Physics (MCTP) University of Michigan, Ann Arbor Abstract: Conversions are listed between basis units of natural units system where ~ = c = 1. Important fundamental constants are given in various equivalent natural units based on GeV, seconds, and meters. Natural units basic conversions Natural units are defined to give ~ = c = 1. All quantities with units then can be written in terms of a single base unit. It is customary in high-energy physics to use the base unit GeV. But it can be helpful to think about the equivalences in terms of other base units, such as seconds, meters and even femtobarns. The conversion factors are based on various combinations of ~ and c (Olive 2014). For example −25 1 = ~ = 6:58211928(15) × 10 GeV s; and (1) 1 = c = 2:99792458 × 108 m s−1: (2) From this we can derive several useful basic conversion factors and 1 = ~c = 0:197327 GeV fm; and (3) 2 11 2 1 = (~c) = 3:89379 × 10 GeV fb (4) where I have not included the error in ~c conversion but if needed can be obtained by consulting the error in ~. Note, the value of c has no error since it serves to define the meter, which is the distance light travels in vacuum in 1=299792458 of a second (Olive 2014). The unit fb is a femtobarn, which is 10−15 barns. A barn is defined to be 1 barn = 10−24 cm2. The prefexes letters, such as p on pb, etc., mean to multiply the unit after it by the appropropriate power: femto (f) 10−15, pico (p) 10−12, nano (n) 10−9, micro (µ) 10−6, milli (m) 10−3, kilo (k) 103, mega (M) 106, giga (G) 109, terra (T) 1012, and peta (P) 1015. -
UNESCO World Heritage and Kosovo Towards a Tentative List for Kosovo Caroline Jaeger Klein Vienna University of Technology, [email protected]
University of Business and Technology in Kosovo UBT Knowledge Center UBT International Conference 2016 UBT International Conference Oct 28th, 9:00 AM - Oct 30th, 5:00 PM UNESCO World Heritage and Kosovo Towards a Tentative List for Kosovo Caroline Jaeger Klein Vienna University of Technology, [email protected] Follow this and additional works at: https://knowledgecenter.ubt-uni.net/conference Part of the Architecture Commons Recommended Citation Klein, Caroline Jaeger, "UNESCO World Heritage and Kosovo Towards a Tentative List for Kosovo" (2016). UBT International Conference. 65. https://knowledgecenter.ubt-uni.net/conference/2016/all-events/65 This Event is brought to you for free and open access by the Publication and Journals at UBT Knowledge Center. It has been accepted for inclusion in UBT International Conference by an authorized administrator of UBT Knowledge Center. For more information, please contact [email protected]. Book of Proceedings International Conference on Architecture and Spatial Planning UNESCO World Heritage and Kosovo Towards a Tentative List for Kosovo. Caroline Jaeger-Klein Vienna University of Technology, Department for History of Architecture and Building Archaeology, Karlsplatz 13/251; A-1040 Vienna, Austria [email protected] Abstract. In 2015, Kosovo tried to join UNESCO and failed by three quotes. Is Kosovo ready for its UNESCO membership? At least for its national architectural heritage, this question is to answer with no. The intensively discussed issue of the medieval monuments of Kosovo inscribed as UNESCO World Heritage by Serbia and Montenegro before the declaration of independency in 2008 and their further management through Kosovo is just one aspect. -
English Customary Weights and Measures
English Customary Weights and Measures Distance In all traditional measuring systems, short distance units are based on the dimensions of the human body. The inch represents the width of a thumb; in fact, in many languages, the word for "inch" is also the word for "thumb." The foot (12 inches) was originally the length of a human foot, although it has evolved to be longer than most people's feet. The yard (3 feet) seems to have gotten its start in England as the name of a 3-foot measuring stick, but it is also understood to be the distance from the tip of the nose to the end of the middle finger of the outstretched hand. Finally, if you stretch your arms out to the sides as far as possible, your total "arm span," from one fingertip to the other, is a fathom (6 feet). Historically, there are many other "natural units" of the same kind, including the digit (the width of a finger, 0.75 inch), the nail (length of the last two joints of the middle finger, 3 digits or 2.25 inches), the palm (width of the palm, 3 inches), the hand (4 inches), the shaftment (width of the hand and outstretched thumb, 2 palms or 6 inches), the span (width of the outstretched hand, from the tip of the thumb to the tip of the little finger, 3 palms or 9 inches), and the cubit (length of the forearm, 18 inches). In Anglo-Saxon England (before the Norman conquest of 1066), short distances seem to have been measured in several ways. -
Towards Effective Teaching of Units and Measurements in Nigerian Secondary Schools: Guidelines for Physics Teachers
TOWARDS EFFECTIVE TEACHING OF UNITS AND MEASUREMENTS IN NIGERIAN SECONDARY SCHOOLS: GUIDELINES FOR PHYSICS TEACHERS Isa Shehu Usman Department of Science and Technology Education, University of Jos and Meshack Audu Lauco Department of Science Laboratory Technology Federal Polytechnic Kaura Namoda Abstract The concern of Physics educators in today's modem world is that teaching of physics should shift from teacher-dominated approach to student-centered approach of hands-on and minds-on activities. The relevance of units and measurements particularly in sciences and commerce in today's world cannot be over-emphasised. Through units and measurements, one can determine the magnitude of certain physical quantities. It is good to realise that when measurements are carried out, it must be followed by their units otherwise the values obtained become meaningless. Based on these assertions, this paper examined the brief h/story of units and measurements, concepts of units and measurements, the international Standard Units (SI) units and the traditional systems of units and measurements. The paper as well provided some guidelines for physics teachers on units and measurements and ended up with student's activities and recommendations. Physics is a practical and experimental science. Its relevance to scientific and technological development of any nation cannot be overemphasized. As such, its effective teaching and learning must be encouraged by all nations of the world. During practical and experiments, teachers usually ask students to measure length, mass, temperature, time and so on of different objects using some measuring instruments. Students carry out these activities in the laboratory during practical and experiments. They do these activities using knowledge and skills imparted to them by their teachers. -
World Heritage 35 COM
World Heritage 35 COM Distribution Limited WHC-11/35.COM/6 Paris, 6 May 2011 Original: English/French UNITED NATIONS EDUCATIONAL, SCIENTIFIC AND CULTURAL ORGANIZATION CONVENTION CONCERNING THE PROTECTION OF THE WORLD CULTURAL AND NATURAL HERITAGE WORLD HERITAGE COMMITTEE Thirty-fifth session Paris, UNESCO Headquarters 19 – 29 June 2011 Item 6 of the Provisional Agenda: Progress report on the World Heritage related category 2 centres SUMMARY The present document provides information on the first annual meeting of the World Heritage related category 2 centres, which was held in Bahrain on 19-20 December 2010 and includes a consolidated report of activities by the Nordic World Heritage Foundation (NWHF), the World Heritage Institute of Training and Research-Asia and Pacific (WHITR-AP); the Arab Regional Centre for World Heritage (ARC-WH); the Regional Heritage Management Training Centre in Brazil; the African World Heritage Fund (AWHF), and the Regional World Heritage Institute in Zacatecas, Mexico. Draft decision: 35 COM 6, see Point III. I. Background 1. In the recent years, the framework for training and research in the field of World Heritage has changed significantly since the Global Training Strategy was first adopted by the World Heritage Committee (2001), and became much richer around the world with more and diverse training opportunities being offered. In particular, States Parties have established capacity building institutions that have been granted the status of “category 2 centres under the auspices of UNESCO” dealing specifically with World Heritage. All these changes to the landscape of training and research have led to the need to take advantage of these new positive developments and, in the meantime, to ensure a clearer definition of the roles and responsibilities of each of the main actors involved in the implementation of the World Heritage strategy for capacity-building (see Document WHC-11/35.COM/9B). -
The Role of Local Communities and Well-Being in UNESCO World Heritage Site Conservation: an Analysis of the Operational Guidelines, 1994–2019
sustainability Article The Role of Local Communities and Well-Being in UNESCO World Heritage Site Conservation: An Analysis of the Operational Guidelines, 1994–2019 Hanbyeol Jang * and Jeremy Mennis Department of Geography and Urban Studies, Temple University, Philadelphia, PA 19122, USA; [email protected] * Correspondence: [email protected] Abstract: UNESCO’s world heritage program aims to protect sites of cultural and natural heritage worldwide. Issues of local communities and well-being have been given increasing attention by heritage conservation scholars, but a systemic review of UNESCO guidelines has not been performed. Here, we examine the evolution of the ‘Operational Guidelines for the Implementation of the World Heritage Convention,’ documents representing the heritage conservation policies of UNESCO over the period 1994–2019. Using keyword analysis and document analysis, the findings show evidence of an increasing emphasis on local communities, growing primarily since 2005. However, the theme of well-being only first emerged in the operational guidelines in 2019. Political, economic, and environmental challenges idiosyncratic to specific places often complicate the role of local communities and well-being in heritage conservation priorities. Future research should investigate the potential implementation and implications of these changes for the guidelines at specific UNESCO Citation: Jang, H.; Mennis, J. The world heritage sites. Role of Local Communities and Well-Being in UNESCO World Keywords: UNESCO; operational guidelines; -
Heritage of Religion, Beliefs and Spirituality Patrimoine De La Religion, Des Croyances Et De La Spiritualité
Heritage of religion, beliefs and spirituality Patrimoine de la religion, des croyances et de la spiritualité A bibliography Une bibliographie By ICOMOS Documenta on Centre - October 2014 Par le Centre de Documenta on ICOMOS - Octobre 2014 Updated and edited by Valéria De Almeida Gomes, intern at ICOMOS Documentation Centre, and Lucile Smirnov. This bibliography refers to documents and materials available at ICOMOS Documentation Centre. It does not intend to be a comprehensive list of scientific literature on religions cultural heritage. Any reference can be consulted or scanned, subject to the limits of copyright legislation. Actualisé et mis en page par Valéria De Almeida Gomes et Lucile Smirnov. Cette bibliographie fait référence à des documents et ouvrages disponibles au Centre de documentation de l’ICOMOS. Elle ne prétend pas constituer une bibliographie exhaustive de la littérature scientifique sur e patrimoine culturel des religions. Toutes ces références peuvent être consultées ou scannées dans la limite de la loi sur le copyright. Contact ICOMOS Documentation Centre / Centre de Documentation ICOMOS http://www.icomos.org/en/documentation-center [email protected] © ICOMOS Documentation Centre, October 2014. ICOMOS - International Council on Monuments and sites Conseil International des Monuments et des Sites 11 rue du Séminaire de Conflans 94 220 Charenton-le-Pont France Tel. + 33 (0) 1 41 94 17 59 http://www.icomos.org Cover photographs: Photos de couverture : Hagia Sophia, Istanbul © David Spencer / Flickr; Borobudur near Yogyakarta. ©: Paul Arps/Flickr; Old Jewish Cemetery (Starý židovský hrbitov), Prague (Prag/Praha) © Ulf Liljankoski / Flickr Index Polytheism and early cults ......................................................... 2 African syncretism and traditional religions ................................. -
Bulletin | Bulletin | POLISH NATIONAL COMMISSION for UNESCO Reviev
biuletyn 2014 PRZEGLÑD POLSKIEGO KOMITETU DO SPRAW UNESCO PRZEGLÑD POLSKIEGO KOMITETU DO SPRAW UNESCO biuletyn| | biuletyn bulletin | bulletin | POLISH NATIONAL COMMISSION for UNESCO Reviev for UNESCO Review UNESCO for POLISH NATIONAL COMMISSION COMMISSION NATIONAL POLISH 2014 bulletin covBIUL14kalOK.indd 1 05.10.2015 19:08 POLISH NATIONAL COMMISSION for UNESCO Review bulletin| 2014 Polish National Commission for UNESCO United Nations Educational, Scientific and Cultural Organization strtytBIU13.indd 7 05.10.2015 22:34 Table of Contents Henryka Mościcka-Dendys 5 UNESCO and Poland today Andrzej Rottermund 7 UNESCO – A Mission Still Valid 14–83 UNESCO and Poland – 70 Years of Cooperation Sławomir Ratajski 85 What We Did in 2014 91–99 Events 2014 100 Polish National Commission’s Honorary Patronage 2014 102 Members of the Polish National Commission for UNESCO 70TH ANNIVERSARY OF UNESCO 5 UNESCO and Poland Today Dr Henryka Mościcka-Dendys Undersecretary of State Ministry of Foreign Affairs “...since wars begin in the minds of men, it is in the minds of men that the defences of peace must be constructed” This message, taken from the Preamble to UNESCO’s Constitution, remains compelling, all the more so as new threats to peace and security unfold. These include the activities of extremist groups, often aimed directly at world heritage, culture and people active in culture. For this reason, UNESCO’s activities are of more significance than ever before. The international community should unremittingly continue to promote the values that underpinned the Organization’s foundation, and continue to motivate its actions. UNESCO was founded 70 years ago, after the tragic experiences of World War II.