title: Analytical solutions of fractional diffusion-advection equation for solar cosmic-ray transport

authors: Litvinenko, Yuri E.

abstract: Motivated by recent applications of superdiffusive transport models to shock-accelerated particle distributions in the heliosphere, we analytically solve a one-dimensional fractional diffusion-advection equation for the particle density. We derive an exact Fourier transform solution, simplify it in a weak diffusion approximation, and compare the new solution with previously available analytical results and with a semi-numerical solution based on a Fourier series expansion. We apply the results to the problem of describing the transport of energetic particles, accelerated at a traveling heliospheric shock. Our analysis shows that significant errors may result from assuming an infinite initial distance between the shock and the observer. We argue that the shock travel time should be a parameter of a realistic superdiffusive transport model.

text: Analytical solutions of fractional diffusion-advection equation for solar cosmic-ray transport Motivated by recent applications of superdiffusive transport models to shock-accelerated particle distributions in the heliosphere, we analytically solve a one-dimensional fractional diffusion-advection equation for the particle density. We derive an exact Fourier transform solution, simplify it in a weak diffusion approximation, and compare the new solution with previously available analytical results and with a semi-numerical solution based on a Fourier series expansion. We apply the results to the problem of describing the transport of energetic particles, accelerated at a traveling heliospheric shock. Our analysis shows that significant errors may result from assuming an infinite initial distance between the shock and the observer. We argue that the shock travel time should be a parameter of a realistic superdiffusive transport model.

year: 2014

title: National Standards 2016: Retrospective insights, continuing uncertainties and new questions

authors: Thrupp, Martin

subjects: national standards

abstract: New Zealand’s National Standards policy has been deeply controversial in the education sector, especially amongst primary teachers and principals. This article provides a view of the National Standards from their introduction up until 2016, nearly a decade after they were first mooted. The issues covered: (i) offer retrospective insights, (ii) acknowledge continuing uncertainties, or (iii) ask questions that had become newly relevant by 2016. They include processes within the Ministry of Education, the role of advisory groups, the public release of National Standards data, and the origins and impact of the National Standards. They also include whether teachers and principals have been gradually won over to the National Standards, use of the National Standards in ‘social investment’, the Progress and Consistency Tool and possible wider political purposes of headline policies like the National Standards. A theme that connects the issues is concern about policy processes. The article concludes by calling for a more genuine commitment by Government to evidence-informed policy.

text: National Standards 2016: Retrospective insights, continuing uncertainties and new questions New Zealand’s National Standards policy has been deeply controversial in the education sector, especially amongst primary teachers and principals. This article provides a view of the National Standards from their introduction up until 2016, nearly a decade after they were first mooted. The issues covered: (i) offer retrospective insights, (ii) acknowledge continuing uncertainties, or (iii) ask questions that had become newly relevant by 2016. They include processes within the Ministry of Education, the role of advisory groups, the public release of National Standards data, and the origins and impact of the National Standards. They also include whether teachers and principals have been gradually won over to the National Standards, use of the National Standards in ‘social investment’, the Progress and Consistency Tool and possible wider political purposes of headline policies like the National Standards. A theme that connects the issues is concern about policy processes. The article concludes by calling for a more genuine commitment by Government to evidence-informed policy.

year: 2017

title: Te Raupatu o Tauranga Moana = The confiscation of Tauranga lands. [Volume 1]

authors: Stokes, Evelyn

subjects: Tauranga lands

abstract: A report providing a historical and geographical overview on the confiscation of Tauranga lands. In two volumes, volume one comprises a narrative of the events described as the raupatu, the confiscation of lands in the Tauranga Moana tribal area under the New Zealand Settlements Act 1863.  Volume two is a collection of documents, edited and annotated which were compiled in support of the report. These documents include personal accounts, tribal history, land purchases, lands returned and crown transactions.

text: Te Raupatu o Tauranga Moana = The confiscation of Tauranga lands. [Volume 1] A report providing a historical and geographical overview on the confiscation of Tauranga lands. In two volumes, volume one comprises a narrative of the events described as the raupatu, the confiscation of lands in the Tauranga Moana tribal area under the New Zealand Settlements Act 1863.  Volume two is a collection of documents, edited and annotated which were compiled in support of the report. These documents include personal accounts, tribal history, land purchases, lands returned and crown transactions.

year: 1990