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A study of the sequence categoryGentle, Ronald Stanley January 1982 (has links)
For a given abelian category o/, a category E is formed by considering exact sequences of o/. If one imposes the condition that a split sequence be regarded as the zero object, then the resulting sequence category E/S is shown to be abelian. The intrinsic algebraic structure of E/S is examined and related to the theory of coherent functors and functor rings. E/S is shown to be the natural setting for the study of pure and copure sequences and the theory is further developed by introducing repure sequences. The concept of pure semi-simple categories is examined in terms of E/S. Localization with respect to
pure sequences is developed, leading to results concerning the existence of algebraically compact objects. The final topic is a study of the simple sequences and their relationship
to almost split exact sequences. / Science, Faculty of / Mathematics, Department of / Graduate
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Some Fundamental Properties of CategoriesGardner, Harold L. 06 1900 (has links)
This paper establishes a basis for abelian categories, then gives the statement and proof of two equivalent definitions of an abelian category, the development of the basic theory of such categories, and the proof of some theorems involving this basic theory.
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An approach towards standardising vulnerability categoriesLi, Yun Lillian 15 July 2008 (has links)
Computer vulnerabilities are design flaws, implementation or configuration errors that provide a means of exploiting a system or network that would not be available otherwise. The recent growth in the number of vulnerability scanning (VS) tools and independent vulnerability databases points to an apparent need for further means to protect computer systems from compromise. It is important for these tools and databases to interpret, correlate and exchange a large amount of information about computer vulnerabilities in order to use them effectively. However, this goal is hard to achieve because the current VS products differ extensively both in the way that they can detect vulnerabilities and in the number of vulnerabilities that they can detect. Each tool or database represents, identifies and classifies vulnerabilities in its own way, thus making them difficult to study and compare. Although the list of Common Vulnerabilities and Exposures (CVE) provides a means of solving the disparity in vulnerability names used in the different VS products, it does not standardise vulnerability categories. This dissertation highlights the importance of having a standard vulnerability category set and outlines an approach towards achieving this goal by categorising the CVE repository using a data-clustering algorithm. Prototypes are presented to verify the concept of standardizing vulnerability categories and how this can be used as the basis for comparison of VS products and improving scan reports. / Dissertation (MSc (Computer Science))--University of Pretoria, 2008. / Computer Science / unrestricted
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The introduction to integers in a grade 7 classroom through an intentional teaching strategySoga, Mncedisi Help January 2017 (has links)
Magister Educationis - MEd / This research investigated how grade 7 learners dealt with introductory aspects of integers when they are
introduced through a temperature model. In particular, the study analysed the effect of an intentional
teaching strategy on learners’ engagement with integers. The idea of combining an intentional teaching
strategy with the introduction of integers in grade 7 learners using a temperature model is what makes this
study unique. A qualitative study was adopted. Data was collected by means of audio and video and also
by means of learners’ completed worksheets.
The results of the study indicate that the majority of learners could recognise, compare and order integers.
It is recommended that the application of intentional teaching with a temperature model is a viable
strategy to introduce grade 7 learners to integers.
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Spatial Stroop Interference as a Function of the Prototypicality of Spatial PositionsKlein, Brandi A. 24 May 2010 (has links)
No description available.
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Metaphysical systems and decision procedures /Yandell, Keith E. January 1966 (has links)
No description available.
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Some results concerning intuitionistic logical categoriesTennenhouse, Karen Heather. January 1975 (has links)
No description available.
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Injective modules with the double centralizer property.Mulvihill, William Gerard January 1972 (has links)
No description available.
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Cotorsion theories and torsion theories over perfect rings.McMaster, Robert John January 1973 (has links)
No description available.
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Torsion theories and f-rings.Georgoudis, John January 1972 (has links)
No description available.
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