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...

Direct displacement based design (DDBD) is a conceptual framework that directly design a structure to achieve an expected performance level under specified seismic intensity. In this study, two important issues relevant to torsional response of mass eccentric 8-story RC building designed with DDBD approach are investigated. These issues are including the effects of unbalanced mass distribution ...

Creating an interactive drama requires authors to produce large quantities of story content. A programmer or knowledge expert typically creates this content because they have experience with the story environment. By using an authoring tool someone with less experience with the story environment can organize and create story content. The Scribe Authoring Tool is an authoring tool that will be u...

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 ...

Making mice is a contribution to scientific biography, to the history of laboratory model organisms, and to the historiography of scientific standardization. The heart of the story is the development of standardized mice (i.e. genetically inbred strains) for use in cancer research, basic mammalian genetics, and other allied lines of work. One theme is the work of learning how to create such str...

This paper contains the motivation for the study of critical surfaces in [2]. In that paper, the only justification given for the definition of this new class of surfaces is the strength of the results. However, when viewed as the topological analogue to index 2 minimal surfaces, critical surfaces become quite natural.