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Browsing Mathematical Sciences Research Collection by Title

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Now showing items 42-47 of 47

The two-child paradox : dichotomy and ambiguity

Lynch, Peter (Irish Mathematical Society, 2011-07)

Given that one of the children in a two-child family is a boy, what are the chances that the other is also a boy. The intuitive answer is 50 : 50. More careful investigation leads us to a 1-in-3 chance. We investigate ...
Two-phase quadrature domains

Gardiner, Stephen J. ; Sjödin, Tomas (Springer, 2012-01)

Recent work on two-phase free boundary problems has led to the investigation of a new type of quadrature domain for harmonic functions. This paper develops a method of constructing such quadrature domains based on the ...
Universal Taylor series for non-simply connected domains

Gardiner, Stephen J. ; Tsirivas, Nikolaos (Elsevier, 2010-05)

It is known that, for any simply connected proper subdomain Omega of the complex plane and any point zeta in Omega, there are holomorphic functions on Omega that have "universal" Taylor series expansions about zeta; that ...
Variable selection and updating in model-based discriminant analysis for high dimensional data with food authenticity applications

Murphy, Thomas Brendan ; Dean, Nema ; Raftery, Adrian E. (Institute of Mathematical Statistics, 2010-03)

Food authenticity studies are concerned with determining if food samples have been correctly labelled or not. Discriminant analysis methods are an integral part of the methodology for food authentication. Motivated by food ...
Variational Bayesian inference for the Latent Position Cluster Model

Salter-Townshend, Michael ; Murphy, Thomas Brendan (2009-12)

Many recent approaches to modeling social networks have focussed on embedding the actors in a latent “social space”. Links are more likely for actors that are close in social space than for actors that are distant in ...
Weather and climate forecasting : chronicle of a revolution

Lynch, Peter (World Meteorological Organization, 2010-06)

Remarkable advances in weather forecasts during the past half-century have brought great benefits to humanity. Accurate forecasts save many lives, and early warnings mitigate the worst effects of extreme weather events, ...