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The theory of multi-norms was developed by H. G. Dales and M. E. Polyakov in a memoir that was published in Dissertationes Mathematicae. In that memoir, the notion of 'equivalence' of multi-norms was defined. In the present memoir, we make a systematic study of when various pairs of multi-norms are mutually equivalent. In particular, we study when (p,q)-multi-norms defined on spaces $L^{r}(Ω)$...
We consider computer aided assessment (CAA) of mathematics in which a student provides an answer in the form of a mathematical expression. A common approach is for CAA system implementors to adopt a linear syntax to allow students to communicate their answer to the machine. In this paper we consider the problems students encounter when mediating between (i) traditional mathematical notation and (ii)...
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