This paper is an attempt to enter the discourse from an Africanist perspective. It draws attention to African Knowledge Systems as a critical resource in the continent’s transformation challenge. The paper articulates the logic for African transformation and argues why the continent must reclaim its lost and threatened knowledges for integration into development efforts. It explores the ‘African’ educational system as a major challenge facing the acceptance and integration of AKS in the transformation process and concludes that the continent is (...) better off if the development initiative is first and foremost foregrounded on African heritage and ways of knowing. The paper concludes by suggesting three major aspects of such an educational system that promotes knowledge through wisdom. (shrink)

ABSTRACTDepression is associated with increased emotional response to stress. This is especially the case during the developmental period of adolescence. Cognitive reappraisal is an effective emotion regulation strategy that has been shown to reduce the impact of emotional response on psychopathology. However, less is known about whether cognitive reappraisal impacts the relationship between depressive symptoms and emotional responses, and whether its effects are specific to emotional reactivity or emotional recovery. The current study examined whether cognitive reappraisal moderated the relationship between (...) depressive symptoms and trait or state measures of emotional reactivity and recovery. A community sample of 127 adolescents, at an age of risk for depression, completed self-report measures of trait emotional responding and depressive symptoms. In addition, they completed an in vivo social stress task and were assessed on state emotional reactivity and recove... (shrink)

Overview • Alloy peculiarity • Alloy utilities • Assignments and pre- and postconditions in Alloy • Alloy for automated logical reasoning • Alloy specifications of algorithms • On your to do list: – Look through the example code in these slides, – make sure you understand what is happening. Note: Alloy Peculiarity..

Among the first artefacts of aluminium exhibited at the Paris Exposition of 1855 were scientific instruments. France retained this lead, with her craftsmen employing the metal in balance-beams, telescopes, binoculars, sextants, and anemometer vanes. Within a few years instrument-makers in other countries took up the use of aluminium-bronze alloys, which offered greater strength and rigidity. These alloys served in the construction of various precision astronomical, surveying, and other instruments. Differing reports on aluminium, its alloys, and their qualities were largely due (...) to uncritical acceptance of the metals and ignorance of their precise constitution. Trace impurities had marked effects on quality, and numerous patented alloys reached the market without metallurgical testing. Yet by the end of the nineteenth century, as these problems were being overcome and the metal became cheap, it fell from favour as a component of quality scientific instruments. (shrink)

Summary In terms of control of composition, the fabrication of money was arguably the most demanding of all pre-Industrial Revolution metallurgical practices. The calculations involved in such control needed arithmetical computations involving repeated multiplications and divisions, not only of integers but also of mixed numbers. Such computations were possible using Roman numerals, but with some difficulties. The advantages gained by employing arithmetic using Indo-arabic numerals for alloying calculations would have been the same as for other types of commercial calculations. A (...) method of calculating the proportions of two coinage alloys of different compositions that were needed to produce a third alloy of specified intermediate composition, eventually known as the rule of alternate alligation, was however a specific requirement in the minting of money. This requirement made a particular demand on medieval mathematics, as a solution was not possible using arithmetic alone. Furthermore, the problem became indeterminate when more than two components were available for mixing. All the necessary methods of calculation were described by Fibonacci in his Liber abbaci. These methods are to be found in a sequence of practical arithmetics that stretch through the trattati d'abbaco of the Italian city states during the fourteenth and fifteenth centuries, to the first printed books of Continental authors such as Pacioli. Of the earliest sixteenth-century printed English books on practical arithmetic, The Grounde of Artes by Robert Recorde contained the first advance in the methodology of alternate alligation since Fibonacci. In the seventeenth century, formal proof of the rule of alternate alligation was given by Kersey in his practical arithmetics and in his treatise on algebra. The topic was also addressed by several authors of academic algebras. It was in this century that the problem of indeterminacy in the solution of alternate alligation involving the mixture of more than two components, was finally resolved. English mint accounts provide little direct information on the alloying calculation carried out, and nothing on the methods used. However, the continued description of such calculations in other mint documents, merchants notebooks, and in goldsmiths' handbooks spanning four centuries imply that the calculations described in practical arithmetics were used in practice. Monetary matters had high economic and political profiles during the whole of the time span covered in this study. The influence of such considerations pervades the history of the technology of minting and the mathematics on which it called, and is discussed in context. (shrink)

In terms of control of composition, the fabrication of money was arguably the most demanding of all pre-Industrial Revolution metallurgical practices. The calculations involved in such control needed arithmetical computations involving repeated multiplications and divisions, not only of integers but also of mixed numbers. Such computations were possible using Roman numerals, but with some difficulties. The advantages gained by employing arithmetic using Indo-arabic numerals for alloying calculations would have been the same as for other types of commercial calculations. A method (...) of calculating the proportions of two coinage alloys of different compositions that were needed to produce a third alloy of specified intermediate composition, eventually known as the rule of alternate alligation, was however, a specific requirement in the minting of money. This requirement made a particular demand on medieval mathematics, as a solution was not possible using arithmetic alone. Furthermore, the problem became indeterminate when more than two components were available for mixing. All the necessary methods of calculation were described by Fibonacci in his Liber abbaci. These methods are to be found in a sequence of practical arithmetics that stretch through the trattati d'abbaco of the Italian city states during the fourteenth and fifteenth centuries, to the first printed books of Continental authors such as Pacioli. Of the earliest sixteenth-century printed English books on practical arithmetic, The Grounde of Artes by Robert Recorde contained the first advance in the methodology of alternate alligation since Fibonacci. In the seventeenth century, formal proof of the rule of alternate alligation was given by Kersey in his practical arithmetics and his treatise on algebra. The topic was also addressed by several authors of academic algebras. It was in this century that the problem of indeterminacy in the solution of alternate alligation involving the mixture of more than two components, was finally resolved. English mint accounts provide little direct information on the alloying calculations carried out, and nothing on the methods used. However, the continued description of such calculations in other mint documents, merchants notebooks, and in goldsmiths' handbooks spanning four centuries imply that the calculations described in practical arithmetics were used in practice. Monetary matters had high economic and political profiles during the whole of the time span covered in this study. The influence of such considerations pervades the history of the technology of minting and the mathematics on which it called, and is discussed in context. (shrink)