title: Resource management, plan quality and governance: A report to Government

authors: Ericksen, Neil

subjects: New Zealand

abstract: This Report contains the main findings from FRST-funded research into planning under the Resource Management Act. It includes five sets of interrelated recommendations. These recommendations identify many actions that are essential if Government is serious about achieving its goal of environmental sustainability. Implementation of the recommendations will require a significant increase in expenditure at all levels of the planning hierarchy, but especially central government.

text: Resource management, plan quality and governance: A report to Government This Report contains the main findings from FRST-funded research into planning under the Resource Management Act. It includes five sets of interrelated recommendations. These recommendations identify many actions that are essential if Government is serious about achieving its goal of environmental sustainability. Implementation of the recommendations will require a significant increase in expenditure at all levels of the planning hierarchy, but especially central government.

year: 2001

title: Extended Kepler–Coulomb quantum superintegrable systems in three dimensions

authors: Kalnins, Ernie G.

subjects: quadratic algebras

abstract: The quantum Kepler-Coulomb system in three dimensions is well known to be second order superintegrable, with a symmetry algebra that closes polynomially under commutators. This polynomial closure is also typical for second order superintegrable systems in 2D and for second order systems in 3D with nondegenerate (four-parameter) potentials. However, the degenerate three-parameter potential for the 3D Kepler-Coulomb system (also second order superintegrable) is an exception, as its symmetry algebra does not close polynomially. The 3D four-parameter potential for the extended Kepler-Coulomb system is not even second order superintegrable, but Verrier and Evans (2008 J. Math. Phys. 49 022902) showed it was fourth order superintegrable, and Tanoudis and Daskaloyannis (2011 arXiv:11020397v1) showed that, if a second fourth order symmetry is added to the generators, the symmetry algebra closes polynomially. Here, based on the Tremblay, Turbiner and Winternitz construction, we consider an infinite class of quantum extended Kepler-Coulomb three-and four-parameter systems indexed by a pair of rational numbers (k(1), k(2)) and reducing to the usual systems when k(1) = k(2) = 1. We show these systems to be superintegrable of arbitrarily high order and determine the structure of their symmetry algebras. We demonstrate that the symmetry algebras close algebraically; only for systems admitting extra discrete symmetries is polynomial closure achieved. Underlying the structure theory is the existence of raising and lowering operators, not themselves symmetry operators or even defined independent of basis, that can be employed to construct the symmetry operators and their structure relations.

text: Extended Kepler–Coulomb quantum superintegrable systems in three dimensions The quantum Kepler-Coulomb system in three dimensions is well known to be second order superintegrable, with a symmetry algebra that closes polynomially under commutators. This polynomial closure is also typical for second order superintegrable systems in 2D and for second order systems in 3D with nondegenerate (four-parameter) potentials. However, the degenerate three-parameter potential for the 3D Kepler-Coulomb system (also second order superintegrable) is an exception, as its symmetry algebra does not close polynomially. The 3D four-parameter potential for the extended Kepler-Coulomb system is not even second order superintegrable, but Verrier and Evans (2008 J. Math. Phys. 49 022902) showed it was fourth order superintegrable, and Tanoudis and Daskaloyannis (2011 arXiv:11020397v1) showed that, if a second fourth order symmetry is added to the generators, the symmetry algebra closes polynomially. Here, based on the Tremblay, Turbiner and Winternitz construction, we consider an infinite class of quantum extended Kepler-Coulomb three-and four-parameter systems indexed by a pair of rational numbers (k(1), k(2)) and reducing to the usual systems when k(1) = k(2) = 1. We show these systems to be superintegrable of arbitrarily high order and determine the structure of their symmetry algebras. We demonstrate that the symmetry algebras close algebraically; only for systems admitting extra discrete symmetries is polynomial closure achieved. Underlying the structure theory is the existence of raising and lowering operators, not themselves symmetry operators or even defined independent of basis, that can be employed to construct the symmetry operators and their structure relations.

year: 2013

title: Kūkupa, koro, and kai: The use of Māori vocabulary items in New Zealand English children's picture books

authors: Daly, Nicola

subjects: New Zealand

abstract: When a linguistic form from one language is used in another language, such words are known as borrowings or loan words (Crystal 2003: 56). The English language is renowned for its large capacity for borrowing and it has been suggested that the growth in internationalism in recent times has led to people seeking new words to indicate their local identity (Crystal 1995; Crystal 2003). Certainly this is the case of New Zealand English, the most distinctive aspect of which is borrowings from te reo Maori (Deverson 1991). In 1984 Deverson estimated that most New Zealanders have a passive knowledge of at least 40-50 borrowed Maori loan words (Deverson 1984). This figure has been recently revised by Macalister to 70-80 such words (20,-,63.). A study of the frequency of Maori loan words in New Zealand English in New Zealand School Journals of the 1960s and 1990s showed an incidence of around 6 words per 1,000 (Macalister 1999). Kennedy and Yamazaki (1999) also found borrowed Maori words at a rate of 6 per thousand words. Macalister (2006b) has examined the use of Maori loan words in New Zealand English across a 150 year period from 1850-2000. He examined a corpus of a little under five and a half million words from three sources: Newspapers, parliamentary debates and School Journals. Across the three sources there was an increase from 3.29 words per 1,000 in 1850 to 8.8 per thousand in 2000. Macalister lists the reasons for this change as including urbanisation of the Maori population between 1945 and 1975, which created more contact; the changing status of the Maori language with the kOhanga reo movement; the establishment of the Maori Language Commission (Te Taura Whiri i te Reo Maori) and legislation of Maori as an official language of New Zealand in 1987.

text: Kūkupa, koro, and kai: The use of Māori vocabulary items in New Zealand English children's picture books When a linguistic form from one language is used in another language, such words are known as borrowings or loan words (Crystal 2003: 56). The English language is renowned for its large capacity for borrowing and it has been suggested that the growth in internationalism in recent times has led to people seeking new words to indicate their local identity (Crystal 1995; Crystal 2003). Certainly this is the case of New Zealand English, the most distinctive aspect of which is borrowings from te reo Maori (Deverson 1991). In 1984 Deverson estimated that most New Zealanders have a passive knowledge of at least 40-50 borrowed Maori loan words (Deverson 1984). This figure has been recently revised by Macalister to 70-80 such words (20,-,63.). A study of the frequency of Maori loan words in New Zealand English in New Zealand School Journals of the 1960s and 1990s showed an incidence of around 6 words per 1,000 (Macalister 1999). Kennedy and Yamazaki (1999) also found borrowed Maori words at a rate of 6 per thousand words. Macalister (2006b) has examined the use of Maori loan words in New Zealand English across a 150 year period from 1850-2000. He examined a corpus of a little under five and a half million words from three sources: Newspapers, parliamentary debates and School Journals. Across the three sources there was an increase from 3.29 words per 1,000 in 1850 to 8.8 per thousand in 2000. Macalister lists the reasons for this change as including urbanisation of the Maori population between 1945 and 1975, which created more contact; the changing status of the Maori language with the kOhanga reo movement; the establishment of the Maori Language Commission (Te Taura Whiri i te Reo Maori) and legislation of Maori as an official language of New Zealand in 1987.

year: 2007