Title of dissertation: Trinity: A Unified Treatment of Turbulence, Transport, and Heating in Magnetized Plasmas Michael Alexander Barnes, Doctor of Philosophy, 2009 Dissertation directed by: Professor William Dorland Department of Physics To faithfully simulate ITER and other modern fusion devices, one must resolve electron and ion fluctuation scales in a five-dimensional phase space and time. ...

9 Introduction to Number Theory and Cryptography 1 9.1 Subgroups of the Integers . . . . . . . . . . . . . . . . . . . . 1 9.2 Greatest Common Divisors . . . . . . . . . . . . . . . . . . . . 2 9.3 The Euclidean Algorithm . . . . . . . . . . . . . . . . . . . . . 3 9.4 Prime Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . 4 9.5 The Fundamental Theorem of Arithmetic . . . . . . . . ....

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Background: Love is seen as important as a basis for the caring-relationship but very few studies have examined the ontological relationship between love and health. Aims: The aim of the study is to uncover a deeper understanding of love as the core of life and as the human being’s source of strength as well as love’s relationship to health. The research questions are: what characterizes love a...

Frank Ramsey made important contributions to philosophy, economics, logic, and mathematics. He was the son of a Cambridge mathematician, and from an early age he was well known to members of the Cambridge intellectual community. He received a degree in mathematics from Trinity College in 1923, became a Fellow of King’s College in 1924, and in 1926 he was made a University Lecturer in Mathematic...

Fiona Timmins 1,*,†, Richard Egan 2, Bernadette Flanagan 3,†, Yvonne Muldowney 1,†, Colm OBoyle 1,†, Vivienne Brady 1,† ID , Jacqueline Whelan 1,†, Kathleen Neenan 1,† and Wilfred McSherry 4,5,6,† ID 1 School of Nursing and Midwifery, Trinity College Dublin, 24 D’Olier Street, Dublin 2, Ireland; [email protected] (Y.M.); [email protected] (C.O.); [email protected] (V.B.); [email protected] (J.W.); kaneena...