566 research outputs found
A New Method of Extension of Local Maps of Banach Spaces. Applications and Examples
A known classical method of extension of smooth local maps of Banach spaces
uses smooth bump functions. However, such functions are absent in the majority
of infinite-dimensional Banach spaces. This is an obstacle in the development
of local analysis, in particular in the questions of extending local maps onto
the whole space. We suggest an approach that substitutes bump functions with
special maps, which we call blid maps. It allows us to extend smooth local maps
from non-smooth spaces, such as . As an example of
applications, we show how to reconstruct a map from its derivatives at a point,
for spaces possessing blid maps. We also show how blid maps can assist in
finding global solutions to cohomological equations having linear
transformation of argument.Comment: arXiv admin note: substantial text overlap with arXiv:1703.0629
Congruence of multilinear forms
It is known that if A and B are two n-by-n complex matrices and (A,A^T) is
simultaneously equivalent to (B,B^T), then A is congruent to B. We extend this
statement to multilinear forms.Comment: 16 page
Normal form of m-by-n-by-2 matrices for equivalence
We give a canonical form of m-by-2-by-2 spatial matrices for equivalence over
any field.Comment: 15 page
Connecting with the Y Generation: an analysis of factors associated with the academic performance of foundation IS students
[Abstract]: A strategy to overcome challenges associated with teaching a foundation Information Systems (IS) course to large cohorts of Business students has been highly successful. To further refine the strategy, a survey was conducted to better understand attitudes and computer experience of the students. This study revealed that factors such as gender, age, study mode, type of secondary
school attended, level of previous computing studies, perceived knowledge, frequency of use and attitudes towards using computers did not predict academic performance. Academic performance and characteristics of students belonging to the Y Generation were also compared with those of the Older Generation. Differences between these generations were found to exist in relation to
perceived knowledge, level of previous computing studies, and experience of formal computing studies. It is imperative that educators be aware of the characteristics of the growing Y Generation students. This research has raised critical curriculum issues for the development of foundation IS pedagogy
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