title: A New Way to Look at Homomorphisms

authors: Guo, Yue

subjects: Distributors

abstract: This thesis is about arbitrary functions between groups. We look at two way to measure how close an arbitrary function is to being a homomorphism. We first look at an action of the group on functions in which homomorphisms are invariant. We also look at distributors, structures which are similar to commutators and which are trivial for a homomorphism. This leads to a rich and interesting theory and gives us a new way to look at homomorphisms and new tools to try to build homomorphisms from arbitrary functions. We demonstrate the applicability of these tools by constructing several alternate proofs of the Schur-Zassenhaus theorem.

text: A New Way to Look at Homomorphisms This thesis is about arbitrary functions between groups. We look at two way to measure how close an arbitrary function is to being a homomorphism. We first look at an action of the group on functions in which homomorphisms are invariant. We also look at distributors, structures which are similar to commutators and which are trivial for a homomorphism. This leads to a rich and interesting theory and gives us a new way to look at homomorphisms and new tools to try to build homomorphisms from arbitrary functions. We demonstrate the applicability of these tools by constructing several alternate proofs of the Schur-Zassenhaus theorem.

year: 2013

title: Effects of stage of lactation and time of year on plasmin-derived proteolytic activity in bovine milk in New Zealand

authors: Nicholas, Gina D.

subjects: milk protein

abstract: The objective of this study was to determine the effects of stage of lactation (SOL) and time of year on plasmin-derived proteolytic activity in the milk of pasture-fed dairy cows in New Zealand. Four herds of 20 Friesian cows were used, one herd calving in each of January, April, July and October. Cows grazed ryegrass/white clover pasture only, except during June (winter) when all cows received supplementary pasture silage. Milk samples were collected on four occasions during the year (spring, summer, autumn and winter) from each cow in milk, to give a total of three samples per cow (early, mid and late lactation; c. 30, 120 and 220 days after calving, respectively). Milk samples were analysed for plasmin-derived proteolytic activity. There was no effect of either SOL or time of year on plasmin activity and therefore yields of plasmin followed patterns in milk yield (highest in early lactation and in summer). There were effects of both SOL and time of year on plasminogen-derived and total plasmin plus plasminogen-derived activity, both of which were highest in late lactation and in spring. Changes in plasminogen-derived activity and total plasmin plus plasminogen-derived activity due to SOL were not only due to the decrease in milk yield associated with advancing lactation, because enzyme yields were also increased with advancing lactation. Similarly, effects of time of year on plasminogen-derived activity and total plasmin plus plasminogen-derived activity could not be attributed solely to concomitant changes in milk yield, and may be influenced by the variation in the quality and quantity of feed during the year inherent in a pasture-based dairy system. Effects of SOL on proteolytic activity were greater than, and independent of, effects of time of year.

text: Effects of stage of lactation and time of year on plasmin-derived proteolytic activity in bovine milk in New Zealand The objective of this study was to determine the effects of stage of lactation (SOL) and time of year on plasmin-derived proteolytic activity in the milk of pasture-fed dairy cows in New Zealand. Four herds of 20 Friesian cows were used, one herd calving in each of January, April, July and October. Cows grazed ryegrass/white clover pasture only, except during June (winter) when all cows received supplementary pasture silage. Milk samples were collected on four occasions during the year (spring, summer, autumn and winter) from each cow in milk, to give a total of three samples per cow (early, mid and late lactation; c. 30, 120 and 220 days after calving, respectively). Milk samples were analysed for plasmin-derived proteolytic activity. There was no effect of either SOL or time of year on plasmin activity and therefore yields of plasmin followed patterns in milk yield (highest in early lactation and in summer). There were effects of both SOL and time of year on plasminogen-derived and total plasmin plus plasminogen-derived activity, both of which were highest in late lactation and in spring. Changes in plasminogen-derived activity and total plasmin plus plasminogen-derived activity due to SOL were not only due to the decrease in milk yield associated with advancing lactation, because enzyme yields were also increased with advancing lactation. Similarly, effects of time of year on plasminogen-derived activity and total plasmin plus plasminogen-derived activity could not be attributed solely to concomitant changes in milk yield, and may be influenced by the variation in the quality and quantity of feed during the year inherent in a pasture-based dairy system. Effects of SOL on proteolytic activity were greater than, and independent of, effects of time of year.

year: 2002

title: An old story, a new voice: Tertiary education in the Bay of Plenty region

authors: Amundsen, Diana Leigh

subjects: Bay of Plenty

abstract: In this article, I first critique neoliberal effects on the Aotearoa New Zealand tertiary education sector and then provide a close-up look at tertiary education in the Bay of Plenty region. Information is based on aspects of my doctoral research which was located across three tertiary education organisations comprising the Bay of Plenty Tertiary Education Partnership: The University of Waikato, Toi Ohomai Institute of Technology and, Te Whare Wānanga o Awanuiārangi.  The findings of this research examine connections across the partnership, delving into relevant aspects of universities, polytechnics and wānanga. I evaluate the historical, geographical, political and socio-cultural context of all three institutions. Lastly, I discuss campus connections between the partnership organisations. The emerging picture reveals an old story of expansion and growth with a new voice of tension between collaboration and competition in the face of a neoliberal education context. This article offers timely implications for contemporary and future University of Waikato campus connections and may appeal to academics, graduate students, policymakers and the general public.

text: An old story, a new voice: Tertiary education in the Bay of Plenty region In this article, I first critique neoliberal effects on the Aotearoa New Zealand tertiary education sector and then provide a close-up look at tertiary education in the Bay of Plenty region. Information is based on aspects of my doctoral research which was located across three tertiary education organisations comprising the Bay of Plenty Tertiary Education Partnership: The University of Waikato, Toi Ohomai Institute of Technology and, Te Whare Wānanga o Awanuiārangi.  The findings of this research examine connections across the partnership, delving into relevant aspects of universities, polytechnics and wānanga. I evaluate the historical, geographical, political and socio-cultural context of all three institutions. Lastly, I discuss campus connections between the partnership organisations. The emerging picture reveals an old story of expansion and growth with a new voice of tension between collaboration and competition in the face of a neoliberal education context. This article offers timely implications for contemporary and future University of Waikato campus connections and may appeal to academics, graduate students, policymakers and the general public.

year: 2019