Research articles (Dept of Mathematics)

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Vector measures of bounded semivariation and associated convolution operators

Saab, P.; Robdera, M.A. (Glasgow Mathematical Journal Trust, http://journals.cambridge.org/action/displayJournal?jid=GMJ, NaN, 2011)

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Abstract:	Let G be a compact metrizable abelian group, and let X be a Banach space. We characterize convolution operators associated with a regular Borel X-valued measure of bounded semivariation that are compact (resp; weakly compact) from L1(G), the space of integrable functions on G into L1(G)ˇ⊗X, the injective tensor product of L1(G) and X. Along the way we prove a Fourier Convergence theorem for vector measures of relatively compact range that are absolutely continuous with respect to the Haar measure.
Description:	the symbols on the abstract may differ from the original script
URI:	http://hdl.handle.net/10311/1004

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Saab_GMJ_2012.pdf (83.98Kb)

Thermal analysis and annealing temperature dependence of electrical properties in Sn10Sb20Se70 glassy semiconductor

Kumar, P.; Thangaraj, R.; Sathiaraj, T.S. (Springer Netherlands, NaN, 2008)

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Abstract:	The melt-quenched Sn10Sb20Se70 sample in the bulk form was used to prepare films on well-cleaned glass substrates by thermal evaporation method. The activation energy for glass transition (apparent) and crystallization has been analyzed by using the Kissinger formulation. The X-ray diffraction study shows the crystallization of Sb2Se3 phase in the major proportion as compared to the SnSe2 phase. The SEM images film of the show the appearance of spherical globules upon annealing below the glass transition temperature. The effect of annealing temperature on the electrical and optical properties has been studied. A linear fit between DE and Eo is observed, indicating the validity of Meyer–Neldel rule with the change in the annealing temperature.
Description:	some mathematical symbols may not come as they are in the title and abstract.
URI:	http://hdl.handle.net/10311/691

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Thermal analysis.pdf (949.2Kb)

Screen integrable lightlike hypersurfacesof indefinite sasakian manifolds

Massamba, F. (Birkhäuser Basel. http://www.springerlink.com/content/110963/?p=c42ba01ff0bd482b81a3ebdf3b649c9a&pi=0, NaN, 2009)

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Abstract:	We investigate lightlike hypersurfaces of indefinite Sasakian manifolds, tangent to the structure vector field and whose screen distribution is integrable. We prove some results on parallel vector fields and on a leaf of the integrable distribution D0? h i of this class. A theorem on a geometrical configuration of the screen distribution is obtained. We show that any totally contact umbilical leaf of a screen integrable distribution of a lightlike hypersurface is an extrinsic sphere.
Description:	The mathematical symbols may not come as they are in the abstract.
URI:	http://hdl.handle.net/10311/689

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Screen Integrable Lightlike.pdf (1.251Mb)

On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds

Massamba, F. (Birkhäuser Basel. http://www.springerlink.com/content/107580/?p=1930c3cc1de944feae211b785b3b42a4&pi=0, NaN, 2009)

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Abstract:

We study semi-parallel lightlike hypersurfaces of an indefinite Kenmotsu manifold, tangent to the structure vector field. Some Theorems on parallel and semi-parallel vector field, geodesibility of lightlike hypersurfaces are obtained. The geometrical configuration of such lightlike hypersurfaces is established. We prove that, in totally contact umbilical lightlike hypersurfaces of an indefinite Kenmotsu manifold which has constant φ-holomorphic sectional curvature c, tangent to the structure vector field and such that its distribution is parallel, the parallelism and semi-parallelism notions are equivalent.

URI:

http://hdl.handle.net/10311/539

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On semi-parallel.pdf (1.027Mb)

Teachers’ experiences with an adapted IGCSE physics syllabus in Botswana

Koosimile, A.T. (Elsevier, www.elsevier.com/locate/ijedudev, NaN, 2005)

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Abstract:

This paper focuses on teachers’ experiences with implementing a modified International General Certificate of Secondary Education (IGCSE) physics syllabus in Botswana. The syllabus, characterised by a new organisational and pedagogic paradigm, is a significant shift from the traditional ‘‘teacher-proof’’ syllabus to one that is flexible, nonprescriptive and student-centred. Through data from discussions and interviews with teachers, it emerged that policy statements on the nature of the syllabus were contradictory and confusing to guide both the adoption and implementation of the syllabus. It also emerged that teachers accorded the core curriculum component of the syllabus a lower priority and status than the extended curriculum component. The findings also reveal that considerable overlaps in the core and extended curriculum components of the syllabus blurred the distinction between the two as well as weakening prospect of fidelity of adoption and implementation. The resulting ‘innovation gap’ invariably means that the ideals of the syllabus and the associated paradigm shifts are possibly not realised in teaching in Botswana. The findings generally underscore the importance of clear guidance and policy statements on any new syllabus, and indeed, a new curriculum. Possible directions in future research would be to investigate innovation gaps that might be manifest in teaching.

URI:

http://hdl.handle.net/10311/499

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Koosimile2005ICGSEphysics.pdf (1.142Mb)

Research articles (Dept of Mathematics)

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