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...

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.

The recent past has seen a proliferation in the amount of digital video content being created and consumed. This is perhaps being driven by the increase in audiovisual quality, as well as the ease with which production, reproduction and consumption is now possible. The widespread use of digital video, as opposed its analogue counterpart, has opened up a plethora of previously impossible applica...

With a contingent of around 1,500 fighters, Morocco is considered one of the main exporters of foreign fighters to Syria. Until 2014, Moroccan authorities, who were content to see their own jihadis leave and add to the pressure on Bashar al-Assad, mostly turned a blind eye to networks of recruitment. Since the dramatic rise of the so-called Islamic State, or ISIS, concern over local repercussio...

The story of how Perrin’s experimental work established the reality of atoms and molecules has been a staple in (realist) philosophy of science writings (Wesley Salmon, Clark Glymour, Peter Achinstein, Penelope Maddy,...). I’ll argue that how this story is told distorts both what the work was and its significance, and draw morals for the understanding of how theories can be or fail to be empiri...

Generally speaking, lexical items that enter our minds through reading a text commonly leave us with pictures, sounds, echoes, and feelings in the mind. While the ability to produce images in the mind in the process of reading appears to be vital for greater comprehension and recall of texts, research has indicated that many poor readers seemingly do not visualize as they read. On the contrary,...

Graphical passwords have been proposed as an alternative to alphanumeric passwords with their advantages in usability and security. However, they still tend to follow predictable patterns that are easier for attackers to exploit, probably due to users’ memory limitations. Various literatures show that baroque music has positive effects on human learning and memorizing. To alleviate users’ memor...

Charles Bean has written an informative discussion of unemployment that brings to a larger audience some parts of his comprehensive discussion of European unemployment (Bean, 1994). His current paper also discusses the role that policy might take to reduce unemployment. I will put policy issues aside initially to concentrate on the causes of unemployment. I begin by stating and commenting on fo...

according to the holy qur'an, human life is intermingled with trials, having a mutual relationship with man's perfection and elevation. as objective models of divine trials, prophets are chosen and reported intelligently in the qur'an. the central issue in this research is to draw a revealed pattern of the trial of prophets and analyze its components, emphasizing on the story of ...

Dieses Papier berichtet über unsere Unterrichtserfahrungen mit Story Driven Modeling, einer neuen, systematischen Vorgehensweise zur Entwicklung von objektorientierten Programmen. Das Problem wird mit Hilfe eines Objektspiels erarbeitet, mit Hilfe von UML-Szenario-Diagrammen analysiert und dann systematisch in ein Programm überführt.