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.

Perspectival utterances are analyzed within Situation Semantics framework. Perspectival expressions are expressions speakers use when they describe facts from certain standpoints within their environments. Uses of perspecti-val expressions have two significant characteristics , bi-directional contextual dependency, and perspectivity transfer. Relational conception of meaning and mental states c...

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...

Penelitian ini bertujuan untuk menghasilkan buku cerita bergambar berbasis kearifan lokal meningkatkan karakter peduli sosial siswa kelas IV Sekolah Dasar. menggunakan metode penelitian pengembangan Borg & Gall. Pengumpulan data wawancara, observasi, dan angket berupa skala. Teknis analisis deksriptif, uji t, Multivariate Analysis of Variance (MANOVA) dengan taraf signifikansi 5%. Hasil men...

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 ...

The reading ability of Elementary students is a series actions that must be developed so are not only good at but also able to explore and understand the text books. This study shows several picture books an effort increase elementary school students' interest. methodology used in this literature review reports from various journals. To interest reading, teachers use appropriate media attract a...

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.