This article tackles categorical coherence within a two-dimensional generalization of Lawvere’s functorial semantics. 2-theories, a syntactical way of describing categories with structure, are presented. From the perspective here afforded, many coherence results become simple statements about the quasi-Yoneda lemma and 2-theory-morphisms. Given two 2-theories and a 2-theory-morphism between the...

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...

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...

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...

The Library of Babel, described by Jorge Luis Borges, stores an enormous amount of information. The Library exists ab aeterno. Wikipedia, a free online encyclopaedia, becomes a modern analogue of such a Library. Information retrieval and ranking of Wikipedia articles become the challenge of modern society. While PageRank highlights very well known nodes with many ingoing links, CheiRank highlig...

The qualitative and quantitative composition of the floral odour of Peltandra uirginica was determined by trapping odour components from freshly cut inflorescences on Tenax and Carbotrap adsorbents using a purge and trap apparatus. Analysis showed that a single novel compound, 1,3,6-trimethyl-2,5-dioxabicyclo[3.2.l.]nonane, comprised nearly 70% of the odour. Four isomers of this compound were f...

In order to adequately investigate an allegation of sexual abuse, professionals must both understand the motives of the victim, perpetrator, and victim's mother (in incest cases) to lie or tell the truth and possess the techniques for examining the child's story. Children almost never make up stories about being sexually abused. In fact victims are often revictimized in multiple ways for truthf...

We define analytic torsion τ (X,E ,H) ∈ detH(X, E ,H) for the twisted de Rham complex, consisting of differential forms on a compact Riemannian manifold X valued in a flat vector bundle E , with a differential given by ∇ +H ∧ · , where ∇ is a flat connection on E , H is an odd-degree closed differential form on X, and H(X, E ,H) denotes the cohomology of this Z2-graded complex. We show that whe...