Motivated by the Hankel determinant evaluation of moment sequences, we study a kind of Pfaffian analogue evaluation. We prove an LU -decomposition analogue for skew-symmetric matrices, called Pfaffian decomposition. We then apply this formula to evaluate Pfaffians related to some moment sequences of classical orthogonal polynomials. In particular we obtain a product formula for a kind of q-Cata...

The ‘radioactive dice’ experiment is a commonly used classroom analogue to model the decay of radioactive nuclei. However, the value of the half-life obtained from this experiment differs significantly from that calculated for real nuclei decaying exponentially with the same decay constant. This article attempts to explain the discrepancy and suggests modifications to the experiment to minimize...

Male and female high school and college students viewed a DVD about a love story. Youth who more readily empathized with media characters were more likely to perceive same-sex characters as role models and were better able to understand the story content. The findings suggest that fantasy empathy, in which viewers become deeply involved in narratives, may hold a key regarding the influence of m...

In 1986, Mills and Robbins observed by computer the continued fraction expansion of certain algebraic power series over a finite field. Incidentally, they came across a particular equation of degree four in characteristic p = 13. This equation has an analogue for all primes p ≥ 5. There are two patterns for the continued fraction of the solution of this equation, according to the residue of p m...

$EVWUDFW Digital image interpolation techniques are frequently used to enlarge pictures, i.e. zooming in, and they are upon increasingly demand for developing product applications using digital still cameras. One common difficulty with conventional interpolation techniques is that of preserving details, i.e. edges, and at the same time smoothing the data for not introducing spurious artifacts. ...

A mathematical model is proposed for interpreting the love story portrayed by Walt Disney in the film “Beauty and the Beast”. The analysis shows that the story is characterized by a sudden explosion of sentimental involvements, revealed by the existence of a saddle-node bifurcation in the model. The paper is interesting not only because it deals with catastrophic bifurcations in romantic relati...

We study variational problems for surfaces in Euclidean space for functionals involving curvatures. Particularly, we study both the classical Willmore surfaces and their anisotropic analogue.

Throughout this congress we have heard many moving testimonies. On Thursday the stories highlighted the presence of Jesus among the peoples of Asia, especially among the poor and marginalised. On Friday stories witnessed to Jesus amidst the great religions of Asia. Today testimonies have focused upon the cultures of Asia. In day-to-day life we do not neatly separate these three aspects. As the ...

he history of Geoffrey Chaucer’s “Man of Law’s Tale” is complicated, as is the narrative itself. Part love story, part saint’s life, Chaucer’s tale of the extremely pious, self-effacing Custance exhibits a pathos that is little appreciated by modern readers. While literary audiences in the medieval period were “unusually receptive” to deeply emotional tales (Frank 179), since the late nineteent...