A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a non-selfadjoint compact operator is given. Sufficient conditions for the existence of transmission eigenvalues and completeness of generalized eigenstates for the transmission eigenvalue problem are derived. In the trac...

This paper presents a syntactic analysis of a fragment of Amharic noun phrases. Amharic noun phrases possess some peculiar characteristics especially relating to the syntax of the definite article. The definite article shows some morphological and distributional characteristics distinct from languages such as English and German, which makes it difficult to directly apply the methods proposed fo...

We generalize the Euclidean 1-center approximation algorithm of Bădoiu and Clarkson (2003) to arbitrary Riemannian geometries, and study the corresponding convergence rate. We then show how to instantiate this generic algorithm to two particular settings: (1) the hyperbolic geometry, and (2) the Riemannian manifold of symmetric positive definite matrices.

On such readings, the definite article is sometimes analyzed as underlyingly indefinite. According to ‘DP-external’ analyses of relative readings (Szabolcsi, 1986; Heim, 1999; Hackl, 2009), the superlative takes scope outside the object DP and the must be interpreted as a because its uniqueness presupposition is not satisfied by its complement. While such DPs do display indefinite-like behavior...

There is a well known tradition in the literature on definite Determiner Phrases (DPs) that concentrates on the asymmetries in the distribution and the anaphoric properties of determiners such as articles and demonstratives. A huge amount of work on the topic has been done on French by linguists like Kleiber, Corblin, Marandin, Maes, Apothéloz, Reichler-Béguelin or De Mulder, and on English by ...

I conducted three experiments in which I investigated how people use the definite article with entities that have never been explicitly introduced. I claim that using the definite article to determine a particular entity presupposes that that entity has a preestablished discourse referent. If an explicit discourse referent has not been supplied by previous context, additional presuppositions mu...

The fact that concepts are grammaticalized differently in different languages is a major problem for translation, especially for machine translation. Two major examples of this are syntactic number, and the use of (in)definite articles (a, some, the). In languages such as English, nouns are marked for number and the choice of article (or of no article) must be made for every noun phrase. In con...