The Superpowers
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Lesson 19: the Euclidean Algorithm As an Application of the Long Division Algorithm
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 19 6•2 Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm Student Outcomes . Students explore and discover that Euclid’s Algorithm is a more efficient means to finding the greatest common factor of larger numbers and determine that Euclid’s Algorithm is based on long division. Lesson Notes MP.7 Students look for and make use of structure, connecting long division to Euclid’s Algorithm. Students look for and express regularity in repeated calculations leading to finding the greatest common factor of a pair of numbers. These steps are contained in the Student Materials and should be reproduced, so they can be displayed throughout the lesson: Euclid’s Algorithm is used to find the greatest common factor (GCF) of two whole numbers. MP.8 1. Divide the larger of the two numbers by the smaller one. 2. If there is a remainder, divide it into the divisor. 3. Continue dividing the last divisor by the last remainder until the remainder is zero. 4. The final divisor is the GCF of the original pair of numbers. In application, the algorithm can be used to find the side length of the largest square that can be used to completely fill a rectangle so that there is no overlap or gaps. Classwork Opening (5 minutes) Lesson 18 Problem Set can be discussed before going on to this lesson. Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm 178 Date: 4/1/14 This work is licensed under a © 2013 Common Core, Inc. -
Why Canada Should Join the EU TIMOTHY GARTON ASH
Developed by Jean Monnet Project Studying EU in Canadian High Schools www.carleton.ca/ces/EULearning Teacher’s Attachment B The following summary has been published by The Globe and Mail and available at the newspaper website https://www.theglobeandmail.com/opinion/why-canada-should-join-the- eu/article1105523/ 1. ____________________________________________________________________________ OPINION Why Canada should join the EU TIMOTHY GARTON ASH PUBLISHED JUNE 29, 2006 UPDATED APRIL 23, 2018 Driving through Toronto earlier this week I saw a shiny black 4x4 with an English flag sticking out of one side window and a German flag out of the other. Presumably a Canadian family of mixed English and German origin, so rooting for both teams in the World Cup. A little later I saw a car with the Portuguese flag on one side and the Italian on the other. It occurred to me that this pretty much sums up what we've been trying to achieve in Europe since the Second World War. Welcome to the European Union -- in Canada. In fact, why doesn't the European Union invite Canada to join at once? In most respects, it would be a much easier fit than Ukraine, let alone Turkey. It effortlessly meets the EU's so-called Copenhagen criteria for membership, including democratic government, the rule of law, a well-regulated market economy and respect for minority rights. (Canada's a world leader on that.) Canada is rich, so would be a much-needed net contributor to the EU budget, at a time when the Union has been taking in lots of poorer states. -
Download Cartoons and Descriptions
1. Creator: Stephen Sack Title: “See No… Hear No… Speak No…” Publication: Ft. Wayne Journal Publication Date: Unknown, 1978-1979 Description: In 1964 Leonid Brezhnev took over as the General Secretary of the Central Committee of the Communist Part of the Soviet Union after Nikita Khrushchev was removed from power. He presided over the USSR from 1964 until his death in 1982. Some of Brezhnev’s early changes were to remove the liberalizing reforms made of Khrushchev. Cultural freedom was limited and the secret service, the KBG, regained power. In 1973, the Soviet Union entered an era of economic stagnation which led to unhappiness among the Soviet people. Brezhnev continued the policy of détente with the United States, limiting arms but at the same time building up Soviet military strength. Source: Billy Ireland Cartoon Library & Museum: Best Editorial Cartoons of the Year ed. Charles Brooks. Pelican Publishing Press, Gretna, 1979 Folder: Cartoons Bezbatchenko 2. Creator: Mike Keffe Title: Untitled Publication: Denver Post Publication Date: Unknown, 1980- 1981 Description: Elections were held in the USSR and the United States in 1979 and 1980 respectively. The 1980 presidential campaign was between incumbent Democrat Jimmy Carter and Republican candidate, Ronald Reagan. The election was held on November 4, 1980. Reagan won the electoral college vote by a landslide. In the Soviet Union, elections were held but for appearances only. Vladimir Lenin and the other Bolshevik leaders dissolved the Constituent Assembly in 1918. Under Stalin’s rule the position of General Secretary of the Central Committee of the Communist Party became synonymous with “leader of the Soviet Union.” In 1980, the government was controlled by nonelected Communist Politburo members, the Central Committee and a parliament type group called the Supreme Soviet, who only met briefly throughout the year. -
Primality Testing for Beginners
STUDENT MATHEMATICAL LIBRARY Volume 70 Primality Testing for Beginners Lasse Rempe-Gillen Rebecca Waldecker http://dx.doi.org/10.1090/stml/070 Primality Testing for Beginners STUDENT MATHEMATICAL LIBRARY Volume 70 Primality Testing for Beginners Lasse Rempe-Gillen Rebecca Waldecker American Mathematical Society Providence, Rhode Island Editorial Board Satyan L. Devadoss John Stillwell Gerald B. Folland (Chair) Serge Tabachnikov The cover illustration is a variant of the Sieve of Eratosthenes (Sec- tion 1.5), showing the integers from 1 to 2704 colored by the number of their prime factors, including repeats. The illustration was created us- ing MATLAB. The back cover shows a phase plot of the Riemann zeta function (see Appendix A), which appears courtesy of Elias Wegert (www.visual.wegert.com). 2010 Mathematics Subject Classification. Primary 11-01, 11-02, 11Axx, 11Y11, 11Y16. For additional information and updates on this book, visit www.ams.org/bookpages/stml-70 Library of Congress Cataloging-in-Publication Data Rempe-Gillen, Lasse, 1978– author. [Primzahltests f¨ur Einsteiger. English] Primality testing for beginners / Lasse Rempe-Gillen, Rebecca Waldecker. pages cm. — (Student mathematical library ; volume 70) Translation of: Primzahltests f¨ur Einsteiger : Zahlentheorie - Algorithmik - Kryptographie. Includes bibliographical references and index. ISBN 978-0-8218-9883-3 (alk. paper) 1. Number theory. I. Waldecker, Rebecca, 1979– author. II. Title. QA241.R45813 2014 512.72—dc23 2013032423 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. -
Bulletin 10-Final Cover
COLD WAR INTERNATIONAL HISTORY PROJECT BULLETIN Issue 10 Woodrow Wilson International Center for Scholars, Washington, D.C. March 1998 Leadership Transition in a Fractured Bloc Featuring: CPSU Plenums; Post-Stalin Succession Struggle and the Crisis in East Germany; Stalin and the Soviet- Yugoslav Split; Deng Xiaoping and Sino-Soviet Relations; The End of the Cold War: A Preview COLD WAR INTERNATIONAL HISTORY PROJECT BULLETIN 10 The Cold War International History Project EDITOR: DAVID WOLFF CO-EDITOR: CHRISTIAN F. OSTERMANN ADVISING EDITOR: JAMES G. HERSHBERG ASSISTANT EDITOR: CHRISTA SHEEHAN MATTHEW RESEARCH ASSISTANT: ANDREW GRAUER Special thanks to: Benjamin Aldrich-Moodie, Tom Blanton, Monika Borbely, David Bortnik, Malcolm Byrne, Nedialka Douptcheva, Johanna Felcser, Drew Gilbert, Christiaan Hetzner, Kevin Krogman, John Martinez, Daniel Rozas, Natasha Shur, Aleksandra Szczepanowska, Robert Wampler, Vladislav Zubok. The Cold War International History Project was established at the Woodrow Wilson International Center for Scholars in Washington, D.C., in 1991 with the help of the John D. and Catherine T. MacArthur Foundation and receives major support from the MacArthur Foundation and the Smith Richardson Foundation. The Project supports the full and prompt release of historical materials by governments on all sides of the Cold War, and seeks to disseminate new information and perspectives on Cold War history emerging from previously inaccessible sources on “the other side”—the former Communist bloc—through publications, fellowships, and scholarly meetings and conferences. Within the Wilson Center, CWIHP is under the Division of International Studies, headed by Dr. Robert S. Litwak. The Director of the Cold War International History Project is Dr. David Wolff, and the incoming Acting Director is Christian F. -
Europe and the Vanishing Two-State Solution
EUROPE AND THE VANISHING TWO-STATE SOLUTION Nick Witney ABOUT ECFR The European Council on Foreign Relations (ECFR) is the first pan-European think-tank. Launched in October 2007, its objective is to conduct research and promote informed debate across Europe on the development of coherent, effective and values-based European foreign policy. ECFR has developed a strategy with three distinctive elements that define its activities: •A pan-European Council. ECFR has brought together a distinguished Council of over two hundred Members – politicians, decision makers, thinkers and business people from the EU’s member states and candidate countries – which meets once a year as a full body. Through geographical and thematic task forces, members provide ECFR staff with advice and feedback on policy ideas and help with ECFR’s activities within their own countries. The Council is chaired by Martti Ahtisaari, Joschka Fischer and Mabel van Oranje. • A physical presence in the main EU member states. ECFR, uniquely among European think-tanks, has offices in Berlin, London, Madrid, Paris, Rome, Sofia and Warsaw. In the future ECFR plans to open an office in Brussels. Our offices are platforms for research, debate, advocacy and communications. • A distinctive research and policy development process. ECFR has brought together a team of distinguished researchers and practitioners from all over Europe to advance its objectives through innovative projects with a pan-European focus. ECFR’s activities include primary research, publication of policy reports, private meetings and public debates, ‘friends of ECFR’ gatherings in EU capitals and outreach to strategic media outlets. ECFR is a registered charity funded by the Open Society Foundations and other generous foundations, individuals and corporate entities. -
THE CANADIAN ORIGINS of GLASNOST Introduction
THE CANADIAN ORIGINS OF GLASNOST YV Introduction Glasnost and perestroika are distinctly revitalize their nation. The concepts of Focus Russian terms, but there is a Canadian glasnost and perestroika intrigued the This News in Re- connection to both of them. In the world. The Soviet Union, historically a view module discusses the mean- 1980s the Russian ambassador to closed society run by a tight committee ings of two very Canada, Alexandre Yakovlev, devel- of party faithful, had ruled the nation powerful terms, oped the idea of opening his nation to with an iron fist for three quarters of a glasnost and change and enlightenment. This man century. Now glasnost (openness) and perestroika. Their could see the writing on the wall for the perestroika (restructuring) became the significance, in Soviet Union. He believed that if buzzwords of a new regime. An experi- terms of modern Russian history, is change from within did not occur, then ment in cultural change was unleashed. explored. As well catastrophic change from without Glasnost applied primarily to the these terms are would be inevitable. He wanted to find media in the Soviet Union. The media discussed from the a way to save his people and provide had long been an extension of the party perspective of their prosperity and happiness to a nation politic and had little to do with accuracy origins, both Russian and Cana- that for too long had done without and truth (despite the leading publica- dian. either. tion named Pravda [Truth]). Glasnost During his tenure as ambassador to led to a lessening of restrictions and an Canada he became a student of our attempt to improve the information flow YV Sections nation. -
EU-US Future Forum 2021: a Path Forward for Transatlantic Relations
Atlantic Council EUROPE CENTER ISSUE BRIEF EU-US Future Forum 2021: A path forward for transatlantic relations AUGUST 2021 BENJAMIN HADDAD, JÖRN FLECK, LIVIA GODAERT, MICHAELA NAKAYAMA SHAPIRO INTRODUCTION This report is written a few days after US President Joe Biden’s first interna- tional trip, to Europe, where he notably attended the first EU-US Summit in seven years. The summit led to concrete realizations, including the creation of a Trade and Tech Council and a suspension of the Airbus-Boeing dispute. But just as importantly, it spurred new momentum to shape an ambitious transat- lantic agenda to face common challenges: an assertive China, the COVID-19 pandemic and the need for subsequent economic recovery, climate change, technological change, and growing authoritarianism. Beyond the positive de- velopments coming out of the summit, the real test lies ahead: can we forge the policies, norms, and standards that will once again make the transatlantic relationship a force for the defense of liberal democracy across the world? Engaging in constant dialogue between policy makers, experts, and the pri- vate sector will be critical to the success of this endeavor. The Europe Center conducts From May 5 to 7, the Atlantic Council’s Europe Center and the EU Delegation research and uses real-time to the United States partnered to organize the first EU-US Future Forum commentary and analysis to (EUFF), a three-day open conference bringing together policy makers, ex- guide the actions and strategy of perts, and the private sector to address the key challenges facing the transat- key transatlantic decisionmakers lantic relationship in the coming decades. -
The Year of TRUTH
26 FEATURES The Year of TRUTH 1989 was the most dramatic year in Europe for four decades. Here, in a provocative extract from his new book We the People, Timothy Garton Ash argues that, like 1848 in the West, 1989 was the year of the citizen in Eastern Europe. 989 was the year communism in Eastern To be sure, even without a political-military reversal inside the Soviet Union there will be many further con Europe died. 1949-1989 R.I.P. And the flicts, injustices and miseries in these lands. But they will epitaph might be: Nothing in his life, be different conflicts, injustices and miseries: new and old, Became him like the leaving it. The post-communist but also pre-communist In the worst case, there might yet be dictators; but they would be dif thing that was comprehensively installed in the ferent dictators. We shall not see again that particular newly defined territories of Poland, Czechos system, characterised by the concentration of political and lovakia, Hungary, Romania and Bulgaria, and in economic power and tne instruments of coercion in the the newly created German Democratic Republic hands of one leninist party, manifested sociologically as a privileged new class, in states with arbitrarily limited after 1949, the thing called, according to view sovereignty. point, 'socialism', 'totalitarianism', 'stalinism', 'politbureaucratic dictatorship', 'real existing Of course, if we walk the streets of Prague, Warsaw or socialism', 'state capitalism', 'dictatorship over Leipzig we can still find the grey, familiar traces: the flattened neo-classical stalinist facades on all the Victory needs', or, most neutrally, 'the Soviet-type Squares, the Lenin boulevardes, steelworks, shipyards, the system' - that thing will never walk again. -
So You Think You Can Divide?
So You Think You Can Divide? A History of Division Stephen Lucas Department of Mathematics and Statistics James Madison University, Harrisonburg VA October 10, 2011 Tobias Dantzig: Number (1930, p26) “There is a story of a German merchant of the fifteenth century, which I have not succeeded in authenticating, but it is so characteristic of the situation then existing that I cannot resist the temptation of telling it. It appears that the merchant had a son whom he desired to give an advanced commercial education. He appealed to a prominent professor of a university for advice as to where he should send his son. The reply was that if the mathematical curriculum of the young man was to be confined to adding and subtracting, he perhaps could obtain the instruction in a German university; but the art of multiplying and dividing, he continued, had been greatly developed in Italy, which in his opinion was the only country where such advanced instruction could be obtained.” Ancient Techniques Positional Notation Division Yielding Decimals Outline Ancient Techniques Division Yielding Decimals Definitions Integer Division Successive Subtraction Modern Division Doubling Multiply by Reciprocal Geometry Iteration – Newton Positional Notation Iteration – Goldschmidt Iteration – EDSAC Positional Definition Galley or Scratch Factor Napier’s Rods and the “Modern” method Short Division and Genaille’s Rods Double Division Stephen Lucas So You Think You Can Divide? Ancient Techniques Positional Notation Division Yielding Decimals Definitions If a and b are natural numbers and a = qb + r, where q is a nonnegative integer and r is an integer satisfying 0 ≤ r < b, then q is the quotient and r is the remainder after integer division. -
Shades of Gray: Conscience and the Cold War Makyra Williamson Harding University, [email protected]
Tenor of Our Times Volume 7 Article 17 5-1-2018 Shades of Gray: Conscience and the Cold War Makyra Williamson Harding University, [email protected] Follow this and additional works at: https://scholarworks.harding.edu/tenor Part of the History Commons Recommended Citation Williamson, Makyra ( 2018) "Shades of Gray: Conscience and the Cold War," Tenor of Our Times: Vol. 7, Article 17. Available at: https://scholarworks.harding.edu/tenor/vol7/iss1/17 This Book Review is brought to you for free and open access by the College of Arts & Humanities at Scholar Works at Harding. It has been accepted for inclusion in Tenor of Our Times by an authorized editor of Scholar Works at Harding. For more information, please contact [email protected]. Lingering Echoes in the eastern bloc Articles Shades of Gray: Conscience and the Cold War by Makyra Williamson A Historian’s Perspective on a Summer in Saxony by Sam Aly Shostakovich’s Fourth and Fifth Symphonies: A Comparative Analysis by Payden Taylor Photo Courtesy of: Flickr user Sergejf, Mariinksy Theatre, July 6, 2014 https://www.flickr.com/photos/7942389@N04/18271919528 Author Bio: Hailing from Salem, Oregon, Makyra Williamson is a junior at Harding University, where she is majoring in English and minoring in History and Bible. She is a member of Sigma Tau Delta, Phi Alpha Theta, and Chi Omega Pi, a women’s social club. After graduation, Makyra plans to pursue a career in substantive editing. Map Courtesy of: Flickr user Internet Archive Book Images SHADES OF GRAY: PERSONAL MORALITY AND TIMOTHY GARTON ASH’S THE FILE: A PERSONAL HISTORY By Makyra Williamson In the opening chapter of The File, Timothy Garton Ash acknowledges that he is not simply investigating a file, but a life.1 Garton Ash’s narrative is a well-written personal history in which he retraces the origins of a file containing the information that the secret police, or Stasi, had collected about him. -
Decimal Long Division EM3TLG1 G5 466Z-NEW.Qx 6/20/08 11:42 AM Page 557
EM3TLG1_G5_466Z-NEW.qx 6/20/08 11:42 AM Page 556 JE PRO CT Objective To extend the long division algorithm to problems in which both the divisor and the dividend are decimals. 1 Doing the Project materials Recommended Use During or after Lesson 4-6 and Project 5. ٗ Math Journal, p. 16 ,Key Activities ٗ Student Reference Book Students explore the meaning of division by a decimal and extend long division to pp. 37, 54G, 54H, and 60 decimal divisors. Key Concepts and Skills • Use long division to solve division problems with decimal divisors. [Operations and Computation Goal 3] • Multiply numbers by powers of 10. [Operations and Computation Goal 3] • Use the Multiplication Rule to find equivalent fractions. [Number and Numeration Goal 5] • Explore the meaning of division by a decimal. [Operations and Computation Goal 7] Key Vocabulary decimal divisors • dividend • divisor 2 Extending the Project materials Students express the remainder in a division problem as a whole number, a fraction, an ٗ Math Journal, p. 17 exact decimal, and a decimal rounded to the nearest hundredth. ٗ Student Reference Book, p. 54I Technology See the iTLG. 466Z Project 14 Decimal Long Division EM3TLG1_G5_466Z-NEW.qx 6/20/08 11:42 AM Page 557 Student Page 1 Doing the Project Date PROJECT 14 Dividing with Decimal Divisors WHOLE-CLASS 1. Draw lines to connect each number model with the number story that fits it best. Number Model Number Story ▼ Exploring Meanings for DISCUSSION What is the area of a rectangle 1.75 m by ?cm 50 0.10 ء Decimal Division 2 Sales tax is 10%.