467 research outputs found

    A q-analogue of spanning trees : nilpotent transformations over finite fields

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    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Includes bibliographical references (p. 67).The main result of this work is a q-analogue relationship between nilpotent transformations and spanning trees. For example, nilpotent endomorphisms on an n-dimensional vector space over Fq is a q-analogue of rooted spanning trees of the complete graph Kn. This relationship is based on two similar bijective proofs to calculate the number of spanning trees and nilpotent transformations, respectively. We also discuss more details about this bijection in the cases of complete graphs, complete bipartite graphs, and cycles. It gives some refinements of the q-analogue relationship. As a corollary, we find the total number of nilpotent transformations with some restrictions on Jordan block sizes.by Jingbin Yin.Ph.D

    Global Trade in the Emerging Business Environment

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    Global Trade in the Emerging Business Environment explores global trade dynamics in the emerging business environment. Globalization, technological advancements, Industry 4.0, China’s Belt and Road Initiative, and the COVID-19 pandemic are changing the global trade ecosystem. Companies and countries need to evaluate these rapid changes and adjust their respective business strategies and policy formulations. This book discusses such strategies and how firms and countries can reposition themselves within the current environment

    No Lost Chance in China: The False Realism of American Foreign Service Officers, 1943-1945

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    AbstractThis article reexamines the question of whether a chance was lost for the U.S. government to develop relations with Mao's China in the 1940s. I focus on John S. Service and John Paton Davies, seeking along the way to illuminate the ideological roots of the Truman administration's nonrecognition policy toward China. I argue that proponents of the “lost chance” thesis have misapplied the concept of realism in diplomacy, since realism is primarily concerned with power and security, not ideology such as democracy. These proponents overlook the assumptions on which American diplomats and leaders operated. The China Hands assumed that the Chinese Communists were social democrats, not revolutionaries controlled by Stalin. Dean Acheson embraced Davies's assumption that Mao would reassert nationalism upon assuming power and might still be drawn away from Moscow toward Washington. Far from being realists, they were deeply ideological. They disagreed with their domestic rivals within a liberal consensus. None of them had the intention of recognizing a Communist government in China. This study reveals how unspoken shared assumptions shaped not only the dynamics of American policymaking toward China during World War II and in its aftermath, but also the work of many historians who have written about the “lost chance.” </jats:sec

    A Distributed Query Method for RDF Data on Spark

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    Will &ldquo;Dual Control of the Amount and Intensity of Energy Consumption (DCEC)&rdquo; Policy Increase Urban Green Competitiveness?

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    Urban green transformation is an important part of global low-carbon development. Coercive government policies are critical to achieving success, but, as of now, there is no unified concept of &ldquo;green competitiveness&rdquo;. To address climate change, it is necessary to clearly define core concepts and apply measures. For this study, &ldquo;urban green competitiveness&rdquo; refers to the continuous improvement of total factor productivity by cities while fully emphasizing resource limitations and environmental issues to achieve economic growth. This article focuses on a Chinese policy of &ldquo;dual control of the amount and intensity of energy consumption&rdquo; (DCEC), which has not been fully studied. The DCEC policy incorporates a quasi-natural experiment to assess whether urban green competitiveness has been affected. This paper builds on the multi-period DID model and explores the effect based on city-level data from 2003 to 2019. The conclusion shows that DCEC policy can address climate change by restricting energy consumption and intensity. Success is achieved through the promotion of local green patent innovation and by intensifying environmental regulation. The policy should start from a long-term perspective by promoting structural and technological changes in the economy, rather than short-term quick success and instant benefits
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