Beyond the beanbag? Towards new ways of thinking about learning spaces

This article looks critically at some of the assumptions in our current ideas about learning spaces, especially the arguments in favour of a shift from formal to informal learning spaces. It suggests that the formal/informal divide hides more than it reveals about the complex relationships between learning and the spaces in which it takes place; and that learning spaces in post-compulsory education remains an under-theorised and under-researched area. Instead we need to develop better conceptual frameworks and richer research methodologies so as to enable a more informed, constructive and creative debate. The article ends by exploring the implications of unpicking the ‘granularity’ of different scales and types of learning space, so as to outline some alternative concepts for analysing what already happens and for enabling creative improvements to the socio-spatial encounters, relationships and processes of teaching and learning in post-compulsory education

Bluff your way in the second law of thermodynamics

The aim of this article is to analyze the relation between the second law of thermodynamics and the so-called arrow of time. For this purpose, a number of different aspects in this arrow of time are distinguished, in particular those of time-(a)symmetry and of (ir)reversibility. Next I review versions of the second law in the work of Carnot, Clausius, Kelvin, Planck, Gibbs, Carath\'eodory and Lieb and Yngvason, and investigate their connection with these aspects of the arrow of time. It is shown that this connection varies a great deal along with these formulations of the second law. According to the famous formulation by Planck, the second law expresses the irreversibility of natural processes. But in many other formulations irreversibility or even time-asymmetry plays no role. I therefore argue for the view that the second law has nothing to do with the arrow of time. Key words: thermodynamics, second law, irreversibility, time-asymmetry, arrow of time.Comment: Studies in History and Philosophy of Modern Physics (to appear

On Competition and the Strategic Management of Intellectual Property in Oligopoly

An innovative firm with private information about its indivisible process innovation chooses strategically whether to apply for a patent with probabilistic validity or rely on secrecy. By doing so, the firm manages its rivals’ beliefs about the size of the innovation, and affects the incentives in the product market. A Cournot competitor tends to patent big innovations, and keep small innovations secret, while a Bertrand competitor adopts the reverse strategy. Increasing the number of firms gives a greater (smaller) patenting incentive for Cournot (Bertrand) competitors. Increasing the degree of product substitutability increases the incentives to patent the innovation

Set Matching: An Enhancement of the Hales-Jewett Pairing Strategy

When solving k-in-a-Row games, the Hales-Jewett pairing strategy [4] is a well-known strategy to prove that specific positions are (at most) a draw. It requires two empty squares per possible winning line (group) to be marked, i.e., with a coverage ratio of 2.0. In this paper we present a new strategy, called Set Matching. A matching set consists of a set of nodes (the markers), a set of possible winning lines (the groups), and a coverage set indicating how all groups are covered after every first initial move. This strategy needs less than two markers per group. As such it is able to prove positions in k-in-a-Row games to be draws, which cannot be proven using the Hales-Jewett pairing strategy. We show several efficient configurations with their matching sets. These include Cycle Configurations, BiCycle Configurations, and PolyCycle Configurations involving more than two cycles. Depending on configuration, the coverage ratio can be reduced to 1.14. Many examples in the domain of solving k-in-a-Row games are given, including the direct proof (without further investigation) that the empty 4 x 4 board is a draw for 4-in-a-Row

Study of Fish Weight Loss in Solar Dryer Across Different Agro-Ecological Zones of Nigeria

Drying sessions were conducted across Nigeria to study the interaction between fish weight loss and the meteorological parameters. Correlation analyses using weight loss values show that latitude is strongly related (r =+0.96) to weight loss of fish inside the dryer while altitude had a weak relationship (r = +0.24) with weight loss. The results show that New Bussa recorded more weight loss of fish than Jos, despite their uniform latitude. Weight loss records in Jos, was however better than those of Warri and Ibadan