The construction of rational iterating functions

The Art of Iterating Rational Functions over Finite Fields

The field of complex dynamical systems generated by iteration of polynomials and rational functions is a classical area of mathematics with a rich history and a wide variety of results. Recently, there has been substantial interest in arithmetical dynamical systems (ADS), meaning the iteration of rational functions over fields of number-theoretic interest. Although isolated results regarding AD...

The Computational Power of Iterating Analytic Functions

On characterizations of the fully rational fuzzy choice functions

In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.

construction and validation of the translation teacher competency test and the scale of students’ perceptions of translation teachers

the major purpose of this study was to develop the translation teacher competency test (ttct) and examine its construct and predictive validity. the present study was conducted in two phases: a qualitative phase as well as a quantitative phase. in the first phase of the study, the author attempted to find out the major areas of competency required for an academic translation teacher. the second...

Iterating Random Functions on a Finite Set

Choose random functions f1, f2, f3, . . . independently and uniformly from among the nn functions from [n] into [n]. For t > 1, let gt = ft ◦ ft−1 ◦ · · · ◦ f1 be the composition of the first t functions, and let T be the smallest t for which gt is constant(i.e. gt(i) = gt(j) for all i, j). The goal of this paper is to determine the asymptotic distribution of T . We prove that, for any positive...