Polynomial Diffeomorphisms of \C^2. VIII: Quasi-Expansion

This paper continues our investigation of the dynamics of polynomial diffeomorphisms of C^2. We introduce a dynamical property of polynomial diffeomorphisms that generalizes hyperbolicity in the way that semi-hyperbolicity generalizes hyperbolicity for polynomial maps of the complex plane.Comment: 43 pages, 2 figure

Studies on the growth, viability, and lipids of Streptococcus bovis : a thesis presented in partial fulfilment of the requirements for the degree of Master of Agricultural Science in Animal Science

In their comprehensive review of rumen metabolism, Annison and Lewis (1959) emphasised the symbiotic relationship between the metabolic activities of the mixed population of anaerobic bacteria and ciliated protozoa, and the digestion of fodder consumed by the host. Prominent features of the microbial activity characterising the ruminant mode of digestion have been listed by Moir (1965) and may be summarised as follows: (1) Cellulose is hydrolysed to monosaccharides by microbial cellulases and carbohydrates fermented to volatile fatty aci s. While problems in the quantitative assessment of this volatile fatty acid production were reviewed by Warner (1964), it was also suggested that the amount produced in the rumen and absorbed directly into the blood stream, was sufficient to meet about 70 % of the host's energy requirements. (2) Microbial protein is synthesised from both plant protein and inorganic nitrogen with the energy released during carbohydrate fermentation. Although the extent of this conversion has also proved difficult to quantitate, Phillipson (1964) has stated that the microbial synthesis of essential amino acids, not always present in the diet, makes the ruminant almost independent of the quality of dietary protein. [From Introduction

Integrable systems from supergravity BPS equations

Integrable systems of the sine-Gordon/Liouville type, which arise from reducing the BPS equations for solutions invariant under 16 supersymmetries in Type IIB supergravity and M-theory, are shown to be special cases of an infinite family of integrable systems, parametrized by an arbitrary real function $f$ of a real variable. It is shown that, for each function $f$, this generalized integrable system may be mapped onto a system of linear equations, which in turn may be integrated in terms of the two linearly independent solutions of an ordinary linear second order differential equation which depends only on the function $f$.Comment: 7 page