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.

m r w o t d W r t i c hat happens when the coronary artery bypass patient is the cardiologist—a cardiologist who as taken care of hundreds of patients with the disease hat now confronts him? The story that follows is a autionary tale. Joseph Perloff tells the first part himelf, but hazy memory immediately after the operation akes it incumbent for someone else—in this case the hysician’s wife, w...

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 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.

the present article is an attempt to review the syrian short storyfrom the period between 1931 to 1947 and its development. syrian short stories in this period are affected by cultural, political and historical events.

E d ito r’s Note: Last spring the U n i­ versity C u rricu lum Committee released a report o u tlin in g several m a jo r changes in Notre Dame’s core cu rricu lum . B u t f o r the m ost pa rt, the com m ittee le ft a lone the two-semester require­ m ent in n a tu ra l science. The issue is exam ined in the fo l lo w in g story, p a r t three o f a fo u r-p a r t se­ ries focu s ing on the com...