In this paper, necessary and sufficient conditions are stated for the Craig-Sakamoto equation det(I − sA − tB) = det(I − sA)det(I − tB) to hold for all scalars s, t ∈ C. Moreover, spectral properties for matrices A and B that satisfy this equation are investigated.

S'Ve PictS Neuter tells her story in simple yet arresting language, giving a very comprehensive des UI~k man ̂ euter> who was her teacher, her colleague, and finally her husband. Po\ver Qp ? .^'m as an extraordinarily dynamic person, with an unshakable belief in the Hany 0r sP'r'1 over matter. His enthusiasm attracted large numbers of people to him, ^ey?te th ? ^ were prepared to withstand the t...

This paper introduces the class of reflected number systems. Members of this class have the adjacency property, i.e. representations for consecutive numbers differ in only one digit and the magnitude of this difference is one. It shows that every number system based on a positional weighting scheme has a reflected analogue. It presents procedures to convert a number system to its reflected anal...

Previous metaphor studies have paid much attention to nominal and predicative metaphors and little attention has been given to adjective metaphors. Although some studies have focused on adjective metaphors, they have only examined how the acceptability of adjective metaphors can be explained by the pairing of adjective modifier’s and head noun’s modalities and little attention has been given to...

This article discusses the difficulties that arose when attempting to specify and design a large scale digital learning environment for Scottish schools. This had a potential user base of about 1 million users and was intended to replace an existing, under-used system. We found that the potential system users were not interested in engaging with the project and that there were immense problems ...

This paper describes the underlying software platform used to develop and publish annotations for the Quranic Arabic Corpus (QAC). The QAC (Dukes, Atwell and Habash, 2011) is a multimodal language resource that integrates deep tagging, interlinear translation, multiple speech recordings, visualization and collaborative analysis for the Classical Arabic language of the Quran. Available online at...