Motivated by problems on Brownian motion, we introduce a recursive scheme for a basis construction in the Hilbert space L2(0, 1) which is analogous to that of Haar and Walsh. More generally, we find a new decomposition theory for the Hilbert space of square-integrable functions on the unit-interval, both with respect to Lebesgue measure, and also with respect to a wider class of self-similar me...

This paper analyses the effects of manipulating the cognitive complexity of L2 oral tasks on language production. It specifically focuses on self-repairs, which are taken as a measure of accuracy since they denote both attention to form and an attempt at being accurate. By means of a repeated measures design, 42 lower-intermediate students were asked to perform three different tasks types (a na...

This study explores L2 learners’ linguistic plans through silent and filled pauses, such as “uh”. Seven native speakers and seven American learners of Chinese participated in this study. They produced speech naturally on pre-provided topics. One minute and fifteen seconds of speech on a single topic produced by each participant was used for analysis in the present research. First, the distribut...

The racemic ligands (±)-tris(isonicotinoyl)-cyclotriguaiacylene (L1), or (±)-tris(4-pyridyl-methyl)-cyclotriguaiacylene (L2) assemble with racemic (Λ,Δ)-[Ir(ppy)2 (MeCN)2 ]+ , in which ppy=2-phenylpyridinato, to form [{Ir(ppy)2 }3 (L)2 ]3+ metallo-cryptophane cages. The crystal structure of [{Ir(ppy)2 }3 (L1)2 ]⋅3BF4 has MM-ΛΛΛ and PP-ΔΔΔ isomers, and homochiral self-sorting occurs in solution,...

The objectives of this study were (a) to examine the writing performance of L2 learners on the level-specific tasks based on Common European Framework of Reference (CEFR) and (b) to study the likely difference between students' self-assessed level of writing and those reported by raters. The study was conducted with 138 Iranian students at BA and MA levels in Alborz Institute of Higher Educatio...