Smallest weak and smallest totally weak critical sets in the latin squares of order at most seven

A critical set in a latin square of order n is a set of entries in a latin square which can be embedded in precisely one latin square of order n. Also, if any element of the critical set is deleted, the remaining set can be embedded in more than one latin square of order n. In this paper we find smallest weak and smallest totally weak critical sets for all the latin squares of orders six and seven. Moreover, we computationally prove that there is no (totally) weak critical set in the back circulant latin square of order five and we find a totally weak critical set of size seven in the other main class of latin squares of order five.

Charles Handy: The exemplary guru

Among many managers Charles Handy might well be described as a ‘world class’ management thinker. He is certainly the first British management author to have achieved international guru status. The author of widely-commended management best-sellers and MBA set texts, known through broadcasting and management videos, he has presented himself more recently as a self-styled ‘social philosopher’. But just how philosophical is he? Does he offer genuinely new ideas? And what explains his vast appeal? Ashly Pinnington considers three works from Handy’s social philosopher period. He argues that they are conservative and focused on the interests of managers and business owners rather than employees or society as a whole. Like a mediaeval friar seeking converts, Handy uses mythic structures and exempla to invest his claims and propositions with plausibility and authority. Drawing on research into management gurus as a phenomenon, Ashly Pinnington concludes that when we read authors like Handy we should attend not merely to the ‘philosophy’ but also to the way narrative techniques are used in conveying ideological and moral messages.

Two new classes of conopeptides inhibit the alpha 1-adrenoceptor and noradrenaline transporter

Cone snails use venom containing a cocktail of peptides ('conopeptides') to capture their prey. Many of these peptides also target mammalian receptors, often with exquisite selectivity. Here we report the discovery of two new classes of conopeptides. One class targets alpha (1)-adrenoceptors (rho -TIA from the fish-hunting Conus tulipa), and the second class targets the neuronal noradrenaline transporter (chi -MrIA and chi -MrIB from the mollusk-hunting C. marmoreus). rho -TIA and chi -MrIA selectively modulate these important membrane-bound proteins. Both peptides act as reversible non-competitive inhibitors and provide alternative avenues for the identification of inhibitor drugs.