We show that the Diophantine equation of the title has, for n > 1, no solution in coprime nonzero integers x, y and z. Our proof relies upon Frey curves and related results on the modularity of Galois representations.

ABSTRACT In previous work, a periodic surface model for computeraided nano-design (CAND) was developed. This implicit surface model can construct Euclidean and hyperbolic nano geometries parametrically and represent morphologies of particle aggregates and polymers. In this paper, we study the characteristics of degree elevation and reduction based on a generalized periodic surface model. Method...

this research aimed to examine the effect of sequential stimuli technique on acquisition, retention and transfer of ocular motor sequence. first sequential stimuli, time record, response error software was designed. 60 right-handed novices (15-18 years) were divided into five groups (blocked – explicit, blocked – implicit, random – explicit, random-implicit and control). all groups performed a ...

the aim of this study was to investigate the relationship between test anxiety with mental health and implicit-explicit self esteem. the comparison of these constructs between talented and normal schools students was assessed as well.  112 talented school male students and 96 normal school male students from khorasan razavi were selected by convenience sampling and completed the package of inst...

this study examines the efficiency of pedagogical intervention in raising l2 pragmatic awareness of the iranian efl learners. more specifically, it seeks to investigate the difference between explicit and implicit instructions in improving pragmatic appropriateness of the english refusals by adult persian native speakers in an efl classroom context. fifty-four participants, with approximately t...

In this paper‎, ‎strong convergence theorems of Ishikawa type implicit iteration‎ ‎process with errors for a finite family of asymptotically‎ ‎nonexpansive in the intermediate sense and asymptotically‎ ‎quasi-pseudocontractive type mappings in normed linear spaces are‎ ‎established by using a new analytical method‎, ‎which essentially‎ ‎improve and extend some recent results obtained by Yang‎ ‎...

Introduction: The neural substrates of temporal processing are not still fully known. The majority of interval timing studies have dealt with this subject in the context of “Explicit timing” (computing the time intervals explicitly). The hypothesis “Implicit timing” (implicitly using temporal processing to improve function) has also proposed. This lesion study addressed explicit and implicit ti...