For the Artin-Schreier curve y − y = f(x) defined over a finite field Fq of q elements, the celebrated Weil bound for the number of Fqr -rational points can be sharp, especially in supersingular cases and when r is divisible. In this paper, we show how the Weil bound can be significantly improved, using ideas from moment L-functions and Katz’s work on `-adic monodromy calculations. Roughly spea...

We use Fraunhofer diffraction theory and meterological data to determine the nature of cloud-particle distributions and the mean particle sizes required for interpreting photographs of coronas and iridescence in mountain wave clouds. Traditional descriptions of coronas and iridescence usually explain these optical phenomena as diffraction by droplets of liquid water. Our analysis shows that the...

In this article a brief review of the literature on the subject is cited. The method of analysis by a finite element program is discussed in which the effect of different influential parameters are examined. The results of these computations are then compared to the corresponding empirical data and two other existing formulae for two dimensional cases. The comparisons show quite reliable and ac...

By a proof by assumption, or for short an assumption proof, I mean the following. The proof proves a conclusion of the form ‘If P then Q’. It proceeds by making a sequence of statements S1, . . . , Sn (possibly with added commentary), where P is S1, Q is Sn, and for each Si with i > 1 there are earlier Sj . . . such that the conditional ‘If Sj . . . , then Si’ is already known. The reason for c...

The Bled eConference quite often gets connected to the notion of eRegion. Therefore in this paper we will have a closer look at how the idea of an eRegion has been addressed by the conference over the past. After briefly looking at the emergence of the term eRegion, we summarize the contribution of the Bled eConference to the field of eRegion in the Research Track as well as in the Business Tra...

All forms of literature are a reflection of the society of which the writer is a part. They mirror the author's particular culture even though a specific piece of literary work may make only a small portion of society its central focus or audience. This does not exclude "escapist" literature because culture determines the manner in which fantasies are developed and the form and direction which ...

In this paper we provide evidence that conceptual metonymies are cross-linguistically significant in the coding of verbal aspect. Guillemin-Flescher (1981: Ch. 2), in an important contrastive study of narrative texts, notices that English and French differ quite often as to which phase of an aspectual situation is coded in an utterance. To illustrate, compare sentence (1), taken from François M...

the behavior of nanoscale energetic materials is quite different from micronsized energetic materials inmany ways. recently, some techniques such as sol-gel method, high speed air impaction and vacuum codeposition have been employed to obtain nanoscale energetic materials. however, only few attentionswere paid to nanoscale energetic materials because of the fabrication difficulty. in this paper...