title: Industry training organisations in changing times: New research possibilities

authors: Cochrane, William

subjects: tertiary education

abstract: The tertiary education reforms have placed considerable pressure on Industry Training Organisations (ITOs), which are now required to assume “new roles as strategic leaders in skills and training needs for the industries under their coverage" (Statement of Tertiary Education Priorities (STEP) 2003-04, P. 21). This paper argues that the STEP requirement can lead to productive relationships between ITOs and established research organizations. It considers the new context within which ITOs now operate and offers an illustrative case study of the sort of research that can result from collaborative relationships. Specifically, it reports on research commissioned by the New Zealand Industry Training Organisation (NZITO), which covers dairy manufacturing, meat processing, and leather processing, as part of' its strategic planning. The research reported includes: an analysis of the industries covered by the NZITO and their economic significance; the impact of an ageing workforce and other demographic on the labour market and its Implications for NZJTO industries; the impact of technological change on the labour market; and some of the consequences of the continuing integration of the global economy.

text: Industry training organisations in changing times: New research possibilities The tertiary education reforms have placed considerable pressure on Industry Training Organisations (ITOs), which are now required to assume “new roles as strategic leaders in skills and training needs for the industries under their coverage" (Statement of Tertiary Education Priorities (STEP) 2003-04, P. 21). This paper argues that the STEP requirement can lead to productive relationships between ITOs and established research organizations. It considers the new context within which ITOs now operate and offers an illustrative case study of the sort of research that can result from collaborative relationships. Specifically, it reports on research commissioned by the New Zealand Industry Training Organisation (NZITO), which covers dairy manufacturing, meat processing, and leather processing, as part of' its strategic planning. The research reported includes: an analysis of the industries covered by the NZITO and their economic significance; the impact of an ageing workforce and other demographic on the labour market and its Implications for NZJTO industries; the impact of technological change on the labour market; and some of the consequences of the continuing integration of the global economy.

year: 2006

title: Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere

authors: Kalnins, Ernie G.

subjects: superintegrability

abstract: We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 (as differential operators). Further there is an algebraic relation at order 8 expressing the fact that there are only 5 algebraically independent generators. We work out the details of modeling physically relevant irreducible representations of the quadratic algebra in terms of divided difference operators in two variables. We determine several ON bases for this model including spherical and cylindrical bases. These bases are expressed in terms of two variable Wilson and Racah polynomials with arbitrary parameters, as defined by Tratnik. The generators for the quadratic algebra are expressed in terms of recurrence operators for the one-variable Wilson polynomials. The quadratic algebra structure breaks the degeneracy of the space of these polynomials. In an earlier paper the authors found a similar characterization of one variable Wilson and Racah polynomials in terms of irreducible representations of the quadratic algebra for the quantum superintegrable system on the 2-sphere with generic 3-parameter potential. This indicates a general relationship between 2nd order superintegrable systems and discrete orthogonal polynomials.

text: Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 (as differential operators). Further there is an algebraic relation at order 8 expressing the fact that there are only 5 algebraically independent generators. We work out the details of modeling physically relevant irreducible representations of the quadratic algebra in terms of divided difference operators in two variables. We determine several ON bases for this model including spherical and cylindrical bases. These bases are expressed in terms of two variable Wilson and Racah polynomials with arbitrary parameters, as defined by Tratnik. The generators for the quadratic algebra are expressed in terms of recurrence operators for the one-variable Wilson polynomials. The quadratic algebra structure breaks the degeneracy of the space of these polynomials. In an earlier paper the authors found a similar characterization of one variable Wilson and Racah polynomials in terms of irreducible representations of the quadratic algebra for the quantum superintegrable system on the 2-sphere with generic 3-parameter potential. This indicates a general relationship between 2nd order superintegrable systems and discrete orthogonal polynomials.

year: 2011

title: Ko Te Ika-a-Māui rānei?

authors: Takurua, Nātana

abstract: Tēnei au te noho nei me te kōroiroi o whakaaro i roto i a Hinengaro. He aha rā te take kāore i mau mai ai ngā ingoa Māori tūturu, whai mana nei i te taenga mai o te Pākehā ki Aotearoa nei? Nā wai i kī ka hurihia ngā ingoa kua tapaina noatia e ngā mātua tīpuna kia noho ko te North me te South
Island?

text: Ko Te Ika-a-Māui rānei? Tēnei au te noho nei me te kōroiroi o whakaaro i roto i a Hinengaro. He aha rā te take kāore i mau mai ai ngā ingoa Māori tūturu, whai mana nei i te taenga mai o te Pākehā ki Aotearoa nei? Nā wai i kī ka hurihia ngā ingoa kua tapaina noatia e ngā mātua tīpuna kia noho ko te North me te South
Island?

year: 2009