An explicit height bound for the classical modular polynomial

For a prime m, let Phi_m be the classical modular polynomial, and let h(Phi_m) denote its logarithmic height. By specializing a theorem of Cohen, we prove that h(Phi_m) <= 6 m log m + 16 m + 14 sqrt m log m. As a corollary, we find that h(Phi_m) <= 6 m log m + 18 m also holds. A table of h(Phi_m) values is provided for m <= 3607.Comment: Minor correction to the constants in Theorem 1 and Corollary 9. To appear in the Ramanujan Journal. 17 pages

The effect of temperature on adhesion forces between surfaces and model foods containing whey protein and sugar

The formation of fouling deposit from foods and food components is a severe problem in food processing and leads to frequent cleaning. The design of surfaces that resist fouling may decrease the need for cleaning and thus increase efficiency. Atomic force microscopy has been used to measure adhesion forces between stainless steel (SS) and fluoro-coated glass (FCG) microparticles and the model food deposits (i) whey protein (WPC), (ii) sweetened condensed milk, and (iii) caramel. Measurements were performed over a range of processing temperatures between 30 and 90 oC and at contact times up to 60 s. There is a significant increase in adhesion force of both types of microparticle to WPC at 90 oC for all contact times. For confectionary deposits adhesion to SS was similar. Adhesion of confectionary deposits to FCG at 30 oC revealed a decrease in adhesion compared to SS; at higher temperatures the adhesion forces were similar

Matching the nano- to the meso-scale: measuring deposit–surface interactions with atomic force microscopy and micromanipulation

Many researchers have studied the effects of changing the surface on fouling and cleaning. In biofouling the 'Baier curve' is a well-known result which relates adhesion to surface energy, and papers on the effect of changing surface energy to food fouling can be found more than 40 years ago. Recently the use of modified surfaces, at least at a research level, has been widespread. Here two different ways of studying surface-deposit interactions have been compared. Atomic force microscopy (AFM) is a method for probing interactions at a molecular level, and can measure (for example) the interaction between substrate and surfaces at a nm-scale. At a μm-mm level, we have developed a micromanipulation tool that can measure the force required to remove the deposit; the measure incorporates both surface and bulk deformation effects. The two methods have been compared by studying a range of model soils: toothpaste, as an example of a soil that can be removed by fluid flow alone, and confectionery soils. Removal has been studied from glass, stainless steel and fluorinated surfaces as examples of the sort of surfaces that can be found in practice. AFM measurements were made by using functionalized tips in force mode. The two types of probe give similar results, although the rheology of the soil affects the measurement from the micromanipulation probe under some circumstances. The data suggests that either method could be used to test candidate surfaces

What's new pussycat? A genealogy of animal celebrity

Animal celebrity is a human creation informing us about our socially constructed natural world. It is relational, expressive of cultural proclivities, political power plays and the quotidian everyday, as well as serious philosophical reflections on the meaning of being human. This article attempts to outline some key contours in the genealogy of animal celebrity, showing how popular culture, including fairground attractions, public relations, Hollywood movies, documentary films, zoo attractions, commercial sport and mediatised moral panics - particularly those accompanying scientific developments such as cloning - help to order, categorise and license aspects of human understanding and feelings. The nature of [animal] charisma and celebrity are explored with assistance from Jumbo the Elephant, Guy the Gorilla, Paul the clairvoyant octopus, Uggie the film star, Nénette the orang-utan and Dolly the sheep. It argues that the issue of what it is to be human lies beneath the celebritised surface or, as Donna Haraway noted, the issue 'of having to face oneself'

A sociological analysis of corporate management styles in response to environmental crisis Exploring the contradictions

Available from British Library Document Supply Centre-DSC:DXN048213 / BLDSC - British Library Document Supply CentreSIGLEGBUnited Kingdo

Predicting the thermal inactivation of bacteria in a solid matrix: simulation studies on the relative effects of microbial thermal resistance parameters and process conditions

A combined mathematical model for predicting heat penetration and microbial inactivation in a solid body heated by conduction was tested experimentally by inoculating agar cylinders with Salmonella typhimurium or Enterococcus faecium and heating in a water bath. Regions of growth where bacteria had survived after heating were measured by image analysis and compared with model predictions. Visualisation of the regions of growth was improved by incorporating chromogenic metabolic indicators into the agar. Preliminary tests established that the model performed satisfactorily with both test organisms and with cylinders of different diameter. The model was then used in simulation studies in which the parameters D, z, inoculum size, cylinder diameter and heating temperature were systematically varied. These simulations showed that the biological variables D, z and inoculum size had a relatively small effect on the time needed to eliminate bacteria at the cylinder axis in comparison with the physical variables heating temperature and cylinder diameter, which had a much greater relative effect. (c) 2005 Elsevier B.V All rights reserved

Feeding grounds of the eastern South Pacific humpback whale population include the South Orkney Islands

This paper reports on two photo-identified humpback whales (Megaptera novaeangliae) that were sighted in different years in the proximity of the South Orkney Islands, at the boundary between the Scotia and Weddell seas(60854.5?S*46840.4?W and 60842.6?S*45833?W). One of the whales had been previously sighted off Ecuador, a breeding ground for the eastern South Pacific population. The other whale was subsequently resighted in Bransfield Strait, off the western Antarctic Peninsula, a well-documented feeding ground for the same population. These matches give support to a hypothesis that the area south of the South Orkney Islands is occupied by whales from the eastern South Pacific breeding stock. Consequently, we propose 408W as a new longitudinal boundary between the feeding grounds associated with the eastern South Pacific and western South Atlantic breeding stocks