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Recently, Andrews and Berkovich introduced a trinomial version of Bailey’s lemma. In this note we show that each ordinary Bailey pair gives rise to a trinomial Bailey pair. This largely widens the applicability of the trinomial Bailey lemma and proves some of the identities proposed by Andrews and Berkovich. The trinomial Bailey lemma In a recent paper, Andrews and Berkovich (AB) proposed a tri...
We report on some initial work in which we designed interactive graphics to help climate scientists identify and extract good examples of simulated storm-tracks from a large dataset to help disseminate information to various audiences. A side-effect of this work was that the exploratory potential offered by the interactive graphics helped our climate scientist coauthors validate and interpret t...
Let C1 and C2 be algebraic plane curves in C such that the curves intersect in d1 · d2 points where d1, d2 are the degrees of the curves respectively. Oka and Sakamoto proved that π1(C \ C1 ∪ C2)) ∼= π1(C \ C1)× π1(C \ C2) [1]. In this paper we prove the converse of Oka and Sakamoto’s result for line arrangements. Let A1 and A2 be non-empty arrangements of lines in C such that π1(M(A1 ∪ A2)) ∼=...
“Gender inequality holds back the growth of individuals, the development of countries and the evolution of societies, to the disadvantage of both men and women,” noted the State of World Population Report 2000. The report makes an excellent case for placing gender inequality under the spotlight so that it can be seen as one of the most urgent matters that severely affects issues of both human r...
Gabriel Pablo Nava1,3,∗, Yosuke Yasuda, Yoichi Sato and Shinichi Sakamoto 1Institute of Industrial Science, University of Tokyo, Komaba 4–6–1, Meguro-ku, Tokyo, 153–8505, JAPAN. 2Graduate School of Frontier Science, University of Tokyo, Kashiwanoha 5–1–5, Kashiwa-shi, Chiba, 277–8563, JAPAN. 3NTT Communication Science Laboratories, NTT Co. Hikaridai 2–4, Seika-cho, Keihana Science City, Kyoto, ...
ACKNOWLEDGEMENTS I wish to express my sincere appreciation to my thesis advisor, Professor Magnus Egerstedt, for his guidance, patience, and support. I am also specially grateful to Professor Edward W. Kamen for his support and encouragement early on in my PhD studies, as my first advisor. I also wish to thank Professors Erik I. Verriest and Yorai Wardi for serving on my reading committee, and ...
Previous metaphor studies have paid much attention to nominal metaphors and predicative metaphors and little attention has been given to adjective metaphors. The most adjective metaphor studies have only examined how the acceptability of adjective metaphors can be explained by the pairing of adjective modifier’s and head noun’s modalities. Sakamoto & Utsumi (2009) showed that adjective metaphor...
The next two chapters are about social history. The basic argument is that if Darwin was right about natural history (and he was) then Marx was right about social history. They both use the same explanatory framework. Each theory is an analogue of the other. Chapter 10 is about how we can use an evolutionary framework to understand social and cultural changes. And chapter 11 is about the implic...
Living in a world where the machine and the internet are ubiquitous, many people work and play online, in a world that is, ironically, often isolated and lonesome. While the internet, as intended, connects us to information, products and services, it often draws us away from the rich connections that are created through interpersonal communication. The goal of this work is to use the machine to...
Jack Levin and Jack McDevitt Northeastern University I. Legal Distinctions II. Hate Crimes and Prejudice III. Why Treat Hate Crimes Differently? IV. Problems in Collecting Hate Crime Data V. Types of Hate Crimes VI. Organized Hate Groups VII. Are Hate Crimes on the Rise? VIII. Responses to Hate crimes IX. Conclusion GLOSSARY Defensive Hate Crimes Hate offenses aimed against particular “outsider...
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