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.

Research on the mechanical properties of concrete-filled steel tube composite frames at high temperatures is one current hot issues. In this paper, finite element simulation software used to analyze frame, introduce failure mode frame under temperature, and deeply study results single-story performance. The single-span structure based analysis bearing capacity, including role each beam column i...

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...

This paper describes our system for subtask-A: SDQC for RumourEval, task8 of SemEval 2017. Identifying rumours, especially for breaking news events as they unfold, is a challenging task due to the absence of sufficient information about the exact rumour stories circulating on social media. Determining the stance of Twitter users towards rumourous messages could provide an indirect way of identi...

In a work of impressive scholarship, the author takes us through the history of the n body problem from Newton to the present. The center of her story is the prize competition in honor of the 60th birthday of King Oscar II of Sweden in 1889. With royal patronage, with the most prestigious mathematicians as judges, and with the most momentous mathematical problem of Civilization as a topic, it h...