Let α = −2+ √ −1 be a root of the polynomial p(x) = x +4x+5. It is well-known that the pair (α, {0, 1, 2, 3, 4}) forms a canonical number system, i.e., that each γ ∈ Z[α] admits a finite representation of the shape γ = a0 + a1α+ · · ·+ alα with ai ∈ {0, 1, 2, 3, 4}. The set T of points with integer part 0 in this number system

Nowadays ICT is the integral part of modern teacher’s and scholar’s activity. For teachers it is reasonable to allocate two basic approach of ICT use: e-learning courses designing (to satisfaction of educational needs of students and implementation of new educational approaches) and openness in the presentation of their own research interests. For effective implementation of these approaches it...

and Applied Analysis 3 where n α 1, α denotes the integer part of number α, provided that the right side is pointwise defined on 0, ∞ . Definition 2.2 see 20 . The Riemann-Liouville fractional integral of order α > 0 of a function f : 0, ∞ → R is given by I 0 f t 1 Γ α ∫ t 0 t − s α−1f s ds, 2.2 provided that the right side is pointwise defined on 0, ∞ . From the definition of the Riemann-Liouv...

In this paper we address the issue of research communities in science and engineering and their effects on graduate students and women in particular. We present our observations of graduate student experiences in one particular research community. These observations are considered in the context of research done by national science institutes and feminist theorists about the under-representatio...

Exegesis that includes careful attention to internal matters-theme and development, structure, and features of literary style--can help resolve perennial problems of interpretation. One such difficulty involves the unity and authorship of the book of Nahum. Conclusions reached from the shared contributions of biblical and literary data argue strongly for the unity of the whole prophecy that bea...

Consistent product experience requires congruity between product properties such as visual appearance and sound. Therefore, for designing appropriate product sounds by manipulating their spectral-temporal structure, product sounds should preferably not be considered in isolation but as an integral part of the main product concept. Because visual aspects of a product are considered to dominate t...

Metadata plays a vital role in both the development and use of statistical information. The production of information requires that data and metadata be viewed as as a totality rather than individually; thus, metadata management must be seen as an integral part of statistics production. Moreover, since metadata provides the basis for human understanding of data, the cognitive aspects of metadat...

Although writing is an integral part of education, there is limited knowledge on how assigned topics influence writing quality both in terms of micro-level linguistic features and macro-level subjective evaluations by human judges. We addressed this question by conducting a study in which 44 students wrote short essays on three different topics: traditional academic-based topics such as the one...