Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces

We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for such operators and hence deduce that these operators have a bounded functional calculus. In particular, we deduce a Kato square root type estimate.Comment: To appear in Proceedings of the AMSI International Conference on Harmonic Analysis and Applications, Proc. Centre Math. Appl. Austral. Nat. Uni

Modernist expert to postmodernist innovative cultural hermaneutist : a journey in adult education : a thesis submitted to Massey University (Wellington) in partial fulfillment of the requirements for the degree of Master of Education (Adult Education)

The repercussions of the turbulent years of the greater part of the twentieth century have been responsible for the demise of both the Enlightenment project and the modern period which was its bearer. This modern period was characterised by legitimising grand metanarratives (récits) that were built on the foundations of rationality, optimism and progress in which reality was represented, understood and lived. Human emancipation was expected to be the ultimate goal. An impressive modernist representative of these metanarratives in the field of my own academic expertise, theology, is the German philosophical theologian, Paul Tillich (1886-1965). His "theology of culture" was a significant theological adult educational project in which he had attempted to represent and convey reality (and meaning) to a generation of adults in the postwar era of the 20 th century. Postmodernism has come to be characteristic of our experience of the world and our present worldview. It questions the legitimacy of the modernist project and along with it the modernist approach to education. In the context of discussing self-directed learning and its application in my own role as an educator, in this thesis I use Paul Tillich's "theology of culture" as an example of a collapsed modern metanarrative to examine how the educator as an "innovative cultural hermeneutist" would better reposition his/her role as an adult educator in the present

The Effects of Agricultural Trade Liberalisation under the Doha Development Agenda with Special Reference to the Asia Pacific Region: A Brief Survey

The main purpose of this paper is to survey the results of recent quantitative studies on the effects of Agricultural Trade Liberalization with special reference to the Asia-Pacific region under the July Framework Agreement or the “July Package” of the Doha Development Agenda, DDA (the decision adopted by the General Council of the WTO on 1 August 2004, see WTO, 2004, WT/L/579).Agricultural Trade Liberalization, Doha Development