title: Is there any Evidence for Regional Atmospheric 14C Offsets in the Southern Hemisphere?

authors: Hogg, Alan G.

abstract: Center for Accelerator Mass Spectrometry (CAMS) Tasmanian huon pine (Lagarostrobos franklinii) decadal measurements for the interval AD 745–855 suggest a mean interhemispheric radiocarbon offset (20 ± 5 yr), which is considerably lower than the previously reported mean interhemispheric offset for the last 2 millennia (44 ± 17 yr). However, comparable University of Waikato (Wk) New Zealand kauri (Agathis australis) measurements show significantly higher values (56 ± 6 yr), suggesting the possibility of a temporary geographic (intrahemispheric) offset between Tasmania, Australia, and Northland, New Zealand, during at least 1 common time interval. Here, we report 9 new Wk Tasmanian huon pine measurements from the decades showing the largest huon/kauri difference. We show statistically indistinguishable Wk huon and Wk kauri 14C ages, thus dispelling the suggestion of a 14C geographic offset between Tasmania and Northland.

text: Is there any Evidence for Regional Atmospheric 14C Offsets in the Southern Hemisphere? Center for Accelerator Mass Spectrometry (CAMS) Tasmanian huon pine (Lagarostrobos franklinii) decadal measurements for the interval AD 745–855 suggest a mean interhemispheric radiocarbon offset (20 ± 5 yr), which is considerably lower than the previously reported mean interhemispheric offset for the last 2 millennia (44 ± 17 yr). However, comparable University of Waikato (Wk) New Zealand kauri (Agathis australis) measurements show significantly higher values (56 ± 6 yr), suggesting the possibility of a temporary geographic (intrahemispheric) offset between Tasmania, Australia, and Northland, New Zealand, during at least 1 common time interval. Here, we report 9 new Wk Tasmanian huon pine measurements from the decades showing the largest huon/kauri difference. We show statistically indistinguishable Wk huon and Wk kauri 14C ages, thus dispelling the suggestion of a 14C geographic offset between Tasmania and Northland.

year: 2013

title: Superintegrability and higher order integrals for quantum systems

authors: Kalnins, Ernie G.

subjects: mathematics

abstract: We refine a method for finding a canonical form of symmetry operators of arbitrary order for the Schrödinger eigenvalue equation HΨ ≡ (Δ2 + V)Ψ = EΨ on any 2D Riemannian manifold, real or complex, that admits a separation of variables in some orthogonal coordinate system. The flat space equations with potentials V = α(x + iy)k − 1/(x − iy)k + 1 in Cartesian coordinates, and V = αr² + β/r²cos ²kθ + γ/r²sin ²kθ (the Tremblay, Turbiner and Winternitz system) in polar coordinates, have each been shown to be classically superintegrable for all rational numbers k. We apply the canonical operator method to give a constructive proof that each of these systems is also quantum superintegrable for all rational k. We develop the classical analog of the quantum canonical form for a symmetry. It is clear that our methods will generalize to other Hamiltonian systems.

text: Superintegrability and higher order integrals for quantum systems We refine a method for finding a canonical form of symmetry operators of arbitrary order for the Schrödinger eigenvalue equation HΨ ≡ (Δ2 + V)Ψ = EΨ on any 2D Riemannian manifold, real or complex, that admits a separation of variables in some orthogonal coordinate system. The flat space equations with potentials V = α(x + iy)k − 1/(x − iy)k + 1 in Cartesian coordinates, and V = αr² + β/r²cos ²kθ + γ/r²sin ²kθ (the Tremblay, Turbiner and Winternitz system) in polar coordinates, have each been shown to be classically superintegrable for all rational numbers k. We apply the canonical operator method to give a constructive proof that each of these systems is also quantum superintegrable for all rational k. We develop the classical analog of the quantum canonical form for a symmetry. It is clear that our methods will generalize to other Hamiltonian systems.

year: 2010

title: Tiakina te Pā Harakeke: Māori Childrearing practices within a context of whānau ora.

authors: Pihama, Leonie

abstract: ‘Tiakina Te Pā Harakeke’ was developed to support the investigation and identification of  Kaupapa Māori	approaches to Māori childrearing and parenting. The project investigates how we can draw upon such frameworks to support intervention in the area of child abuse and child neglect within our whānau. ‘Tiakina Te Pā Harakeke’ is a research project that brings to the fore	the successful values and practices of childrearing that have been held within whānau, hapū and iwi for many generations. It is an exploration and sharing of knowledge that supported the belief held by our tūpuna that our tamariki and mokopuna are treasured parts of whānau, hapū and iwi, as is expressed in the saying	‘he taonga te mokopuna’.

text: Tiakina te Pā Harakeke: Māori Childrearing practices within a context of whānau ora. ‘Tiakina Te Pā Harakeke’ was developed to support the investigation and identification of  Kaupapa Māori	approaches to Māori childrearing and parenting. The project investigates how we can draw upon such frameworks to support intervention in the area of child abuse and child neglect within our whānau. ‘Tiakina Te Pā Harakeke’ is a research project that brings to the fore	the successful values and practices of childrearing that have been held within whānau, hapū and iwi for many generations. It is an exploration and sharing of knowledge that supported the belief held by our tūpuna that our tamariki and mokopuna are treasured parts of whānau, hapū and iwi, as is expressed in the saying	‘he taonga te mokopuna’.

year: 2014