It is shown that in metric spaces each (α, φ)-meagre set A is uniformly very porous and its index of uniform v-porosity is not smaller than k−α 3k+α , provided that φ is a strictly k-monotone family of Lipschitz functions and α < k. The paper contains also conditions implying that a k-monotone family of Lipschitz functions is strictly k-monotone.

Kuhn and Feyerabend have little to say about the thought of Michael Polanyi, and the secondary literature on Polanyi’s relation to them is meagre. I argue that Polanyi’s view, in Personal knowledge and in other writings, of conceptual frameworks ‘segregated’ by a ‘logical gap’ as giving rise to controversies in science foreshadowed Kuhn and Feyerabend’s theme of incommensurability. The similari...

The Manufacturing Messaging Specification (MMS) protocol is widely used in industrial process control applications, but it is poorly documented. In this paper we present an analysis of the MMS protocol in order to improve understanding of MMS in the context of information security. Our findings show that MMS has insufficient security mechanisms, and the meagre security mechanisms that are avail...

There are a number of interesting problems that could be tackled if the computing capacity of current EIT systems can be improved. We examined the performance of two such systems and found that a noticeable portion of the compute time is spent in finding the solution of sparse matrices. We developed and used a new sparse matrix testbench, Meagre-Crowd, to evaluate a selection of these sparse ma...

We present several characterizations of uo-convergent nets or sequences in spaces continuous functions C(Ω), Cb(Ω), C0(Ω), and C∞(Ω), extending results [11]. In particular, it is shown that a sequence uo-converges iff converges pointwise on co-meagre set. also characterize order bounded sets functions. This leads to convergence.