title: Lower bounds on the sizes of defining sets in full n-Latin squares and full designs

authors: Cavenagh, Nicholas J.

subjects: Science & Technology

abstract: The full n-Latin square is the n×n array with symbols 1, 2, . . . , n in each cell. In this paper we show, as part of a more general result,that any defining set for the full n-Latin square has size n³(1 − o(1)). The full design N(v, k) is the unique simple design with parameters (v,k,{v-2 \atopwithdelims ()k-2}); that is, the design consisting of all subsets of size k from a set of size v. We show that any defining set for the full design N(v, k) has size {v\atopwithdelims ()k}(1-o(1)) (as v-k becomes large). These results improve existing results and are asymptotically optimal. In particular, the latter result solves an open problem given in (Donovan, Lefevre, et al, 2009), in which it is conjectured that the proportion of blocks in the complement of a full design will asymptotically approach zero.

text: Lower bounds on the sizes of defining sets in full n-Latin squares and full designs The full n-Latin square is the n×n array with symbols 1, 2, . . . , n in each cell. In this paper we show, as part of a more general result,that any defining set for the full n-Latin square has size n³(1 − o(1)). The full design N(v, k) is the unique simple design with parameters (v,k,{v-2 \atopwithdelims ()k-2}); that is, the design consisting of all subsets of size k from a set of size v. We show that any defining set for the full design N(v, k) has size {v\atopwithdelims ()k}(1-o(1)) (as v-k becomes large). These results improve existing results and are asymptotically optimal. In particular, the latter result solves an open problem given in (Donovan, Lefevre, et al, 2009), in which it is conjectured that the proportion of blocks in the complement of a full design will asymptotically approach zero.

year: 2018

title: Developing a recovery ethos for psychiatric  services in New Zealand

authors: Smith, Mark Andrew

subjects: Philosophy

abstract: This thesis is about developing a recovery ethos for psychiatric services in New Zealand. The argument of the thesis is that  currently a procedural ethos is dominant in psychiatric services in New Zealand, based on eclectic ways of facilitating recovery. Recovery from mental illness, is based on the criteria of symptom reduction and functioning and can be further refined to   have a client and professional perspective. Rather than using an eclectic approach to facilitating recovery the thesis argues for a pluralistic approach, where the virtues, the relationship with professionals, client narrative and the psychiatric community become central to decision making, rather than principle based procedures.
  The thesis is an argued, applied philosophical thesis in terms of methodology. The scope of the thesis is psychiatric services and the focus is broadly ethical decision making. There are three main divisions to the thesis. Part 1 is concerned with clarification of the main terms used in the thesis. This involves exploring the  historical background to the concept of recovery, clarifying the concept of recovery itself and providing an argument for giving greater prominence to the term mental illness over the term mental disorder. Part 2  identifies the main problem of the thesis, namely the procedural ethos, and the problems it is causing clients suffering from mental illness in facilitating their recovery. Part 3  shows what is involved in developing a recovery ethos for psychiatric services in New Zealand.

text: Developing a recovery ethos for psychiatric  services in New Zealand This thesis is about developing a recovery ethos for psychiatric services in New Zealand. The argument of the thesis is that  currently a procedural ethos is dominant in psychiatric services in New Zealand, based on eclectic ways of facilitating recovery. Recovery from mental illness, is based on the criteria of symptom reduction and functioning and can be further refined to   have a client and professional perspective. Rather than using an eclectic approach to facilitating recovery the thesis argues for a pluralistic approach, where the virtues, the relationship with professionals, client narrative and the psychiatric community become central to decision making, rather than principle based procedures.
  The thesis is an argued, applied philosophical thesis in terms of methodology. The scope of the thesis is psychiatric services and the focus is broadly ethical decision making. There are three main divisions to the thesis. Part 1 is concerned with clarification of the main terms used in the thesis. This involves exploring the  historical background to the concept of recovery, clarifying the concept of recovery itself and providing an argument for giving greater prominence to the term mental illness over the term mental disorder. Part 2  identifies the main problem of the thesis, namely the procedural ethos, and the problems it is causing clients suffering from mental illness in facilitating their recovery. Part 3  shows what is involved in developing a recovery ethos for psychiatric services in New Zealand.

year: 2007

title: Kaitiakitanga - Active guardianship, responsibilities and relationships with the world: Towards a bio-cultural future In early childhood education

authors: Paul-Burke, Kura

abstract: The world is a vast family, and humans are children of the earth and sky, and cousins to all living things. Such unity means that nature is the ultimate teacher about life (Royal 2010, p. 9).
For Māori (indigenous peoples of Aotearoa New Zealand) the term kaitiakitanga (pronounced, kye-tee-ah-key-tar-ngah) is often used to refer to the active guardianship and management of natural organisms and their environments. Mātauranga Māori or Māori knowledge positions humans within nature and focuses on ways in which cultural understandings and intergenerational connections between people and their biophysical contexts assist in the retention and protection of biodiversity and ecologically sustainable ecosystems. This entry critically reflects notions of kaitiakitanga and bio-cultural connectivity as important and meaningful contributors for young children and their relationships with and for the world.

text: Kaitiakitanga - Active guardianship, responsibilities and relationships with the world: Towards a bio-cultural future In early childhood education The world is a vast family, and humans are children of the earth and sky, and cousins to all living things. Such unity means that nature is the ultimate teacher about life (Royal 2010, p. 9).
For Māori (indigenous peoples of Aotearoa New Zealand) the term kaitiakitanga (pronounced, kye-tee-ah-key-tar-ngah) is often used to refer to the active guardianship and management of natural organisms and their environments. Mātauranga Māori or Māori knowledge positions humans within nature and focuses on ways in which cultural understandings and intergenerational connections between people and their biophysical contexts assist in the retention and protection of biodiversity and ecologically sustainable ecosystems. This entry critically reflects notions of kaitiakitanga and bio-cultural connectivity as important and meaningful contributors for young children and their relationships with and for the world.

year: 2015