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ENG ME 566 Advanced Engineering Mathematics Instructor: M
Fall 2011 ME 566 Advanced Engineering Mathematics ENG ME 566 Advanced Engineering Mathematics Instructor: M. S. Howe EMA 218 (730 Commonwealth Ave) [email protected] Prerequisites: Multivariate Calculus; Ordinary Differential Equations; or instructor permission. It is expected that you can already: • solve simple first and second order linear ordinary differential equations • differentiate and integrate elementary functions, including trigonometric, exponential and hyperbolic functions • integrate by parts; evaluate simple surface and volume integrals • use the binomial theorem and the series expansions of elementary functions (sine, cosine, exponential, logarithmic and hyperbolic functions) • do all the problems in the prerequisites self test at the end of these notes. Course Outcomes: • consolidate understanding of vector calculus and applications to graduate level engi- neering • introductory understanding of complex variable theory with applications to engineering problems • ability to solve standard partial differential equations of engineering science using eigen- function expansions, Fourier transforms and generalised functions • become proficient in documenting calculations Textbook: Lectures are based on Mathematical Methods for Mechanical Sciences (M. S. Howe; 6th edition). It can be downloaded in pdf form from the ME 566 BlackBoard web site. You are expected to ‘read around’ the subject, and are recommended to consult other textbooks such as those listed on page 5. Course grading: • 4 take-home examinations (12.5% each) • final closed book examination (50%) Fall 2011 1 ME 566 Advanced Engineering Mathematics Fall 2011 ME 566 Advanced Engineering Mathematics Homework: Four ungraded homework assignments provide practice in applying techniques taught in class – model answers will be posted on BlackBoard. In addition there are four take home exams each consisting of a short essay and 5 problems. -
Agreement Between the Government of the Republic of Kazakhstan, The
AGREEMENT Between the Government of the Republic of Kazakhstan, the Government of the Kyrgyz Republic and the Government of the Republic of Uzbekistan on Cooperation in the Area of Environment and Rational Nature Use The Governments of the participating countries of the Agreement hereinafter referred to as the Parties, Guided by the Treaty on Eternal Friendship between the Republic of Kazakhstan, the Kyrgyz Republic and the Republic of Uzbekistan, signed in Bishkek, January 10, 1997; Attaching great significance to environmental protection and rational use of the natural resources and desiring to obtain practical results in this field by means of effective cooperation; Realistically estimating potentialities of ecological dangers in the context of unfavorable natural climatic and hydrometeorological conditions, and acknowledging these problems as the common tasks; Recognizing the great importance of protection and improvement of the environmental situation, prudent and zealous use of natural resources for effectuation of economic and social development with due regard to the interests of the living and future generations; Expressing confidence that cooperation while solving common problems in the environmental protection in each of the countries meets their mutual advantage; and Desiring thereafter to promote the international efforts through this cooperation, aimed at protection and improvement of the environment and rational use of natural resources as the basis of the sound development on the global and regional levels; Have agreed as follows: Article I The Parties shall develop cooperation in the area of environmental protection and rational use of natural resources on the basis of equality of rights, mutual benefit pursuant to the Laws of the respective Countries. -
Technical Reference Manual for the Standardization of Geographical Names United Nations Group of Experts on Geographical Names
ST/ESA/STAT/SER.M/87 Department of Economic and Social Affairs Statistics Division Technical reference manual for the standardization of geographical names United Nations Group of Experts on Geographical Names United Nations New York, 2007 The Department of Economic and Social Affairs of the United Nations Secretariat is a vital interface between global policies in the economic, social and environmental spheres and national action. The Department works in three main interlinked areas: (i) it compiles, generates and analyses a wide range of economic, social and environmental data and information on which Member States of the United Nations draw to review common problems and to take stock of policy options; (ii) it facilitates the negotiations of Member States in many intergovernmental bodies on joint courses of action to address ongoing or emerging global challenges; and (iii) it advises interested Governments on the ways and means of translating policy frameworks developed in United Nations conferences and summits into programmes at the country level and, through technical assistance, helps build national capacities. NOTE The designations employed and the presentation of material in the present publication do not imply the expression of any opinion whatsoever on the part of the Secretariat of the United Nations concerning the legal status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries. The term “country” as used in the text of this publication also refers, as appropriate, to territories or areas. Symbols of United Nations documents are composed of capital letters combined with figures. ST/ESA/STAT/SER.M/87 UNITED NATIONS PUBLICATION Sales No. -
Names of Countries, Their Capitals and Inhabitants
United Nations Group of Experts on Geographical Names (UNGEGN) East Central and South-East Europe Division (ECSEED) ___________________________________________________________________________ The Nineteenth Session of the East Central and South-East Europe Division of the UNGEGN Zagreb, Croatia, 19 – 21 November 2008 Item 9 and 10 of the agenda Document Symbol: ECSEED/Session.19/2008/10 Names of countries, their capitals and inhabitants Submitted by Poland* ___________________________________________________________________________ * Prepared by Maciej Zych, Commission on Standardization of Geographical Names Outside the Republic of Poland, Poland. 19th Session of the East, Central and South-East Europe Division of the United Nations Group of Experts on Geographical Names Zagreb, 19 – 21 November 2008 Names of countries, their capitals and inhabitants Maciej Zych Commission on Standardization of Geographical Names Outside the Republic of Poland 1 Names of countries, their capitals and inhabitants In 1997 the Commission on Standardization of Geographical Names Outside the Republic of Poland published the first list of Names of countries, their capitals and inhabitants, comprising both independent countries as well as non-self-governing and autonomous territories. The second edition appeared in 2003. Numerous changes occurred in geographical names in the six years since the previous list was published. New countries and new non-self-governing and autonomous territories appeared, some countries changed their names, other their capital or its name, the Polish names for several countries and their capitals also changed as did the recommended principles for the Romanization of several languages using non-Roman systems of writing. The third edition of Names of countries, their capitals and inhabitants appeared in the end of 2007, the data it contained being updated for mid-July 2007. -
Evitalia NORMAS ISO En El Marco De La Complejidad
No. 7 Revitalia NORMAS ISO en el marco de la complejidad ESTEQUIOMETRIA de las relaciones humanas FRACTALIDAD en los sistemas biológicos Dirección postal Calle 82 # 102 - 79 Bogotá - Colombia Revista Revitalia Publicación trimestral Contacto [email protected] Web http://revitalia.biogestion.com.co Volumen 2 / Número 7 / Noviembre-Enero de 2021 ISSN: 2711-4635 Editor líder: Juan Pablo Ramírez Galvis. Consultor en Biogestión, NBIC y Gerencia Ambiental/de la Calidad. Globuss Biogestión [email protected] ORCID: 0000-0002-1947-5589 Par evaluador: Jhon Eyber Pazos Alonso Experto en nanotecnología, biosensores y caracterización por AFM. Universidad Central / Clúster NBIC [email protected] ORCID: 0000-0002-5608-1597 Contenido en este número Editorial p. 3 Estequiometría de las relaciones humanas pp. 5-13 Catálogo de las normas ISO en el marco de la complejidad pp. 15-28 Fractalidad en los sistemas biológicos pp. 30-37 Licencia Creative Commons CC BY-NC-ND 4.0 2 Editorial: “En armonía con lo ancestral” Juan Pablo Ramírez Galvis. Consultor en Biogestión, NBIC y Gerencia Ambiental/de la Calidad. [email protected] ORCID: 0000-0002-1947-5589 La dicotomía entre ciencia y religión proviene de la edad media, en la cual, los aspectos espirituales no podían explicarse desde el método científico, y a su vez, la matematización mecánica del universo era el único argumento que convencía a los investigadores. Sin embargo, más atrás en la línea del tiempo, los egipcios, sumerios, chinos, etc., unificaban las teorías metafísicas con las ciencias básicas para dar cuenta de los fenómenos en todas las escalas desde lo micro hasta lo macro. -
2020 Language Need and Interpreter Use Study, As Required Under Chair, Executive and Planning Committee Government Code Section 68563 HON
JUDICIAL COUNCIL OF CALIFORNIA 455 Golden Gate Avenue May 15, 2020 San Francisco, CA 94102-3688 Tel 415-865-4200 TDD 415-865-4272 Fax 415-865-4205 www.courts.ca.gov Hon. Gavin Newsom Governor of California HON. TANI G. CANTIL- SAKAUYE State Capitol, First Floor Chief Justice of California Chair of the Judicial Council Sacramento, California 95814 HON. MARSHA G. SLOUGH Re: 2020 Language Need and Interpreter Use Study, as required under Chair, Executive and Planning Committee Government Code section 68563 HON. DAVID M. RUBIN Chair, Judicial Branch Budget Committee Chair, Litigation Management Committee Dear Governor Newsom: HON. MARLA O. ANDERSON Attached is the Judicial Council report required under Government Code Chair, Legislation Committee section 68563, which requires the Judicial Council to conduct a study HON. HARRY E. HULL, JR. every five years on language need and interpreter use in the California Chair, Rules Committee trial courts. HON. KYLE S. BRODIE Chair, Technology Committee The study was conducted by the Judicial Council’s Language Access Hon. Richard Bloom Services and covers the period from fiscal years 2014–15 through 2017–18. Hon. C. Todd Bottke Hon. Stacy Boulware Eurie Hon. Ming W. Chin If you have any questions related to this report, please contact Mr. Douglas Hon. Jonathan B. Conklin Hon. Samuel K. Feng Denton, Principal Manager, Language Access Services, at 415-865-7870 or Hon. Brad R. Hill Ms. Rachel W. Hill [email protected]. Hon. Harold W. Hopp Hon. Hannah-Beth Jackson Mr. Patrick M. Kelly Sincerely, Hon. Dalila C. Lyons Ms. Gretchen Nelson Mr. -
RELG 357D1 Sanskrit 2, Fall 2020 Syllabus
RELG 357D1: Sanskrit 2 Fall 2020 McGill University School of Religious Studies Tuesdays & Thursdays, 10:05 – 11:25 am Instructor: Hamsa Stainton Email: [email protected] Office hours: by appointment via phone or Zoom Note: Due to COVID-19, this course will be offered remotely via synchronous Zoom class meetings at the scheduled time. If students have any concerns about accessibility or equity please do not hesitate to contact me directly. Overview This is a Sanskrit reading course in which intermediate Sanskrit students will prepare translations of Sanskrit texts and present them in class. While the course will review Sanskrit grammar when necessary, it presumes students have already completed an introduction to Sanskrit grammar. Readings: All readings will be made available on myCourses. If you ever have any issues accessing the readings, or there are problems with a PDF, please let me know immediately. You may also wish to purchase or borrow a hard copy of Charles Lanman’s A Sanskrit Reader (1884) for ease of reference, but the ebook will be on myCourses. The exact reading on a given day will depend on how far we progressed in the previous class. For the first half of the course, we will be reading selections from the Lanman’s Sanskrit Reader, and in the second half of the course we will read from the Bhagavadgītā. Assessment and grading: Attendance: 20% Class participation based on prepared translations: 20% Test #1: 25% Test #2: 35% For attendance and class participation, students are expected to have prepared translations of the relevant Sanskrit text. -
Proposal to Encode Two Latin Letters for Janalif — 2010-09-24 Page 1 of 9 2
JTC1/SC2/WG2 N3916 Universal Multiple-Octet Coded Character Set International Organization for Standardization Organisation Internationale de Normalisation Международная организация по стандартизации Doc Type: Working Group Document Title: Proposal to encode two Latin letters for Jaalif (remaining characters of N3581 from 2009-03-16 which was partially accepted) Source: Karl Pentzlin, Ilya Yevlampiev (Илья Евлампиев) Status: Individual Contribution Action: For consideration by JTC1/SC2/WG2 and UTC Date: 2010-09-24 Additions for Janalif U+A792 LATIN CAPITAL LETTER YERU → 042B cyrillic capital letter yeru → 042C cyrillic capital letter soft sign → 0184 latin capital letter tone six U+A793 LATIN SMALL LETTER YERU → 0131 latin small letter dotless i Properties: A792;LATIN CAPITAL LETTER YERU;Lu;0;L;;;;;N;;;;A793; A793;LATIN SMALL LETTER YERU;Ll;0;L;;;;;N;;;A792;;A792 1. The Jaalif alphabet (fig. 3, 4; excerpt from N3581) In 1908–1909 the Tatar poet Säğit Rämiev started to use the Latin alphabet in his own works. He offered the use of digraphs: ea for ä, eu for ü, eo for ö and ei for ı. But Arabists turned down his project. In the early 1920s Azerbaijanis invented their own Latin alphabet, but Tatarstan scholars set a little store to this project, preferring to reform the İske imlâ (en.wikipedia.org/wiki/iske_imla). The simplified İske imlâ, known as Yaña imlâ (en.wikipedia.org/wiki/yana_imla) was used from 1920–1927. [1] But Latinization was adopted by the Soviet officials and the special Central Committee for a New Alpha- bet was established in Moscow. The first project of the Tatar-Bashkir Latin alphabet was published in Eşce (The Worker) gazette in 1924. -
The Original Pronunciation of Sanskrit Devanàgará – Transliteration – IPA-Symbols
The Original Pronunciation of Sanskrit DevanÀgarÁ – Transliteration – IPA-Symbols $ a n$D À DØ i L Á LØ u X A Â XØ ? Ã `C C Å `CØ CØ Æ O C # e HØ #H ai DeØ, $DH o RØ $D( au DØe8 N{ k N R kh N+ J g J gh J+ Ç 1 F c WeÝ ' ch WeÝ+ M j GeÛ + jh GeÛ+ _ È × T Ê Þ 4 Êh Þ+ I Ë É ) Ëh É+ > É Ö W t W Z th W+ G{ d G [ dh G+ Q n Q S p S { ph S+ E b E bh E+ P m P \ y M U{ r `O l O Y v Y9 ] Ì Ý Í V s V K h Ù Drafted by Maciej Zieba and Ulrich Stiehl under the auspices of Manfred Mayrhofer. ! Ï [ Improvements by Jost Gippert, Madhav Deshpande, Sunder Hattangadi, John Smith and others. This chart is a compromise, since the original pronunciation of Sanskrit Î YDULRXV is not exactly known in every detail. – 06/09/2002/us. Notes: 1. $ seems to have been pronounced originally as [n] or as [], possibly never as [D]. Not even the pronunciation of this most often used letter $ is exactly known! 2. The original pronunciation of is not known. It occurs only in the verb dS(kÆp). 3. U{seems to have been pronounced as [`] or as [], and likewise the liquid seems to have been pronounced as syllabic [`C] (notation: [`]+ [ C]) or as syllabic [C]. 4. The pronunciation of the semi-vowel Y seems to have been either [Y] or [9]. -
The What and Why of Whole Number Arithmetic: Foundational Ideas from History, Language and Societal Changes
Portland State University PDXScholar Mathematics and Statistics Faculty Fariborz Maseeh Department of Mathematics Publications and Presentations and Statistics 3-2018 The What and Why of Whole Number Arithmetic: Foundational Ideas from History, Language and Societal Changes Xu Hu Sun University of Macau Christine Chambris Université de Cergy-Pontoise Judy Sayers Stockholm University Man Keung Siu University of Hong Kong Jason Cooper Weizmann Institute of Science SeeFollow next this page and for additional additional works authors at: https:/ /pdxscholar.library.pdx.edu/mth_fac Part of the Science and Mathematics Education Commons Let us know how access to this document benefits ou.y Citation Details Sun X.H. et al. (2018) The What and Why of Whole Number Arithmetic: Foundational Ideas from History, Language and Societal Changes. In: Bartolini Bussi M., Sun X. (eds) Building the Foundation: Whole Numbers in the Primary Grades. New ICMI Study Series. Springer, Cham This Book Chapter is brought to you for free and open access. It has been accepted for inclusion in Mathematics and Statistics Faculty Publications and Presentations by an authorized administrator of PDXScholar. Please contact us if we can make this document more accessible: [email protected]. Authors Xu Hu Sun, Christine Chambris, Judy Sayers, Man Keung Siu, Jason Cooper, Jean-Luc Dorier, Sarah Inés González de Lora Sued, Eva Thanheiser, Nadia Azrou, Lynn McGarvey, Catherine Houdement, and Lisser Rye Ejersbo This book chapter is available at PDXScholar: https://pdxscholar.library.pdx.edu/mth_fac/253 Chapter 5 The What and Why of Whole Number Arithmetic: Foundational Ideas from History, Language and Societal Changes Xu Hua Sun , Christine Chambris Judy Sayers, Man Keung Siu, Jason Cooper , Jean-Luc Dorier , Sarah Inés González de Lora Sued , Eva Thanheiser , Nadia Azrou , Lynn McGarvey , Catherine Houdement , and Lisser Rye Ejersbo 5.1 Introduction Mathematics learning and teaching are deeply embedded in history, language and culture (e.g. -
RDAP Transformation of Contact Information Draft-Lozano-Regext-Rdap-Transf-Contact-Inf-00
Internet Engineering Task Force G. Lozano Internet-Draft ICANN Intended status: Standards Track Jun 24, 2016 Expires: December 26, 2016 RDAP Transformation of Contact Information draft-lozano-regext-rdap-transf-contact-inf-00 Abstract This document adds support for RDAP Transformation (i.e. translation and transliteration) of Contact Information. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet-Drafts is at http://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on December 26, 2016. Copyright Notice Copyright (c) 2016 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (http://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Simplified BSD License. -
Sanskrit Alphabet
Sounds Sanskrit Alphabet with sounds with other letters: eg's: Vowels: a* aa kaa short and long ◌ к I ii ◌ ◌ к kii u uu ◌ ◌ к kuu r also shows as a small backwards hook ri* rri* on top when it preceeds a letter (rpa) and a ◌ ◌ down/left bar when comes after (kra) lri lree ◌ ◌ к klri e ai ◌ ◌ к ke o au* ◌ ◌ к kau am: ah ◌ं ◌ः कः kah Consonants: к ka х kha ga gha na Ê ca cha ja jha* na ta tha Ú da dha na* ta tha Ú da dha na pa pha º ba bha ma Semivowels: ya ra la* va Sibilants: sa ш sa sa ha ksa** (**Compound Consonant. See next page) *Modern/ Hindi Versions a Other ऋ r ॠ rr La, Laa (retro) औ au aum (stylized) ◌ silences the vowel, eg: к kam झ jha Numero: ण na (retro) १ ५ ॰ la 1 2 3 4 5 6 7 8 9 0 @ Davidya.ca Page 1 Sounds Numero: 0 1 2 3 4 5 6 7 8 910 १॰ ॰ १ २ ३ ४ ६ ७ varient: ५ ८ (shoonya eka- dva- tri- catúr- pancha- sás- saptán- astá- návan- dásan- = empty) works like our Arabic numbers @ Davidya.ca Compound Consanants: When 2 or more consonants are together, they blend into a compound letter. The 12 most common: jna/ tra ttagya dya ddhya ksa kta kra hma hna hva examples: for a whole chart, see: http://www.omniglot.com/writing/devanagari_conjuncts.php that page includes a download link but note the site uses the modern form Page 2 Alphabet Devanagari Alphabet : к х Ê Ú Ú º ш @ Davidya.ca Page 3 Pronounce Vowels T pronounce Consonants pronounce Semivowels pronounce 1 a g Another 17 к ka v Kit 42 ya p Yoga 2 aa g fAther 18 х kha v blocKHead