Let C be a smooth projective curve, and let G be a reductive algebraic group. We give a necessary condition, in terms of automorphism groups of principal G-bundles on C, for the existence of Poincaré families parameterized ...

Christians should be capable of providing a response to people who ask the reason for the hope that they have (1 Peter 3:15). A reason, whatever else it is, is meant to be reasonable. Some thing appears reasonable if it ...

The roles of bishop and priest are still pivotal authority positions in the Roman Catholic Church. Those who hold these positions need the qualities which inspire people, which can draw the best out of them, and which can ...

The slope of the best-fit line from minimizing a function of the squared vertical and horizontal errors is the root of a polynomial of degree four. We use second order and fourth order moment equations to estimate the ratio ...

The standard linear regression model can be written as Y = Xβ+ε with X a full rank n × p matrix and L(ε) = N(0, σ2In). The least squares estimator is = (X΄X)−1XY with variance-covariance matrix Coυ( ) = σ2(X΄X)−1, where ...

Those who are already familiar with Fr O'Shea's reflections in books such as Take nothing for the journey (1990) will be delighted to hear from him again. His own personal journey has continued and he invites the reader ...

This recent publication, proceeding from a conference at University College Cork in 1995, is a very worthwhile and discussion of theology in Irish universities.