Browsing Research articles (Dept of Mathematics) by Title
Now showing items 21-36 of 36
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On the Orlicz-Pettis theorem for integrals
(Pushpa Publishing House, www.pphmj.com, 2010-10)In this note, we propose a more efficient approach to the definition of the integral of Banach-valued functions that enables us to give an improved version of the Orlicz-Pettis theorem for integrals. -
On the Riesz representation theorem and integral operators
(NISC (Pty) Ltd, http://www.nisc.co.za/, 2015-12-14)We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ... -
On the subspace problem for Quasi-normed spaces
(ScienceDomain International; www.sciencedomain.org, 2016-07-02)A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional ... -
Renewable energy education in Botswana: needs, status and proposed training programs
(Elsevier Science Ltd. http://www.sciencedirect.com/science/journal/09601481, 2002-01)Lack of trained manpower for repair and maintenance of solar energy devices in Botswana has resulted in failure of devices, loss of revenue, and dwindling of consumer faith in solar technologies. The government of Botswana ... -
Screen integrable lightlike hypersurfacesof indefinite sasakian manifolds
(Birkhäuser Basel. http://www.springerlink.com/content/110963/?p=c42ba01ff0bd482b81a3ebdf3b649c9a&pi=0, 2009)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 ... -
Some relations between admissible monomials for the polynomial algebra
(Hindawi Publishing Corporation, www.Hindawi.com, 2015)Let P(𝑛) = F2[𝑥1, . . . , 𝑥𝑛] be the polynomial algebra in 𝑛 variables 𝑥𝑖, of degree one, over the field F2 of two elements. The mod-2 Steenrod algebra A acts on P(𝑛) according to well known rules. A major problem ... -
Stochastic models for sunshine duration and solar irradiation
(Elsevier Science Ltd: http://www.elsevier.com/wps/find/journaldescription.cws_home/969/description#description, 2002)Abstract Harmonic analysis of sunshine duration and solar irradiation measured at Sebele, Botswana is carried out. The data used consists of the monthly averages and the Julian-days averages of sunshine duration and solar ... -
String Homology of a Product of Spheres and the Witt Algebra
(Nova Science Publishers, Inc.; www.novapublishers.com; reprinted with permission from Nova Science Publishers, Inc., 2007)Let X be a finite product of even dimensional spheres, we show that the string homology of X contains a finite product of copies of the Witt Lie algebra. -
A study of pulsatile blood flow modeled as a power low fluid in a constricted tube
(Elsevier; www.elsevier.com/locate/ichmt, 2007-07)A mathematical model for the pulsatile blood flow in a small vessel in a cardiovascular system with a mild stenosis is analyzed. Blood is modeled as a power low fluid and the differential approximation for the heat flux ... -
Teachers’ experiences with an adapted IGCSE physics syllabus in Botswana
(Elsevier, www.elsevier.com/locate/ijedudev, 2005)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 ... -
Tensor Integral: A new comprehensive approach to the integration theory
(SCIENCEDOMAIN International, www.sciencedomain.org, 2014-09-15)We use tensor product to introduce a new approach to the theory of integration. Such an approach will strengthen the existing various classical concepts of integral and will provide a continuous thread tying the subject ... -
Thermal analysis and annealing temperature dependence of electrical properties in Sn10Sb20Se70 glassy semiconductor
(Springer Netherlands, 2008)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 ... -
Unconditional integrability with application to ergodic theorem
(ScienceDomain International, http://www.sciencedomain.org/, 2017-08-07)We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued ... -
A unified approach to integration theory
(International Journal of Applied Physics and Mathematics, www.ijapm.org/, 2019-01)We investigate the common features and the resemblance of the central parts of the different existing integration theories to obtain a more unified approach to the notion of integral. Our approach gives a presentation of ... -
Unified approach to vector valued integration
(Pushpa Publishing House, www.pphmj.com, 2013-06)We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of ... -
Vector measures of bounded semivariation and associated convolution operators
(Glasgow Mathematical Journal Trust, http://journals.cambridge.org/action/displayJournal?jid=GMJ, 2011)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 ...