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Clear All  # Относительные средние поперечники пространств Соболевав L 2(ℝ d )

Analysis Mathematica
Authors: Yongping Liu and Weiwei Xiao

## Abstract

In this paper, in order to consider the problems of relative width on ℝd, we proposed definitions of relative average width which combine the ideas of the relative width and the average width. We established the smallest number M which make the following equality

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\overline K _\sigma (U(W_2^\alpha ),M(W_2^\alpha ),L_2 ({\mathbb{R}}^d )) = \overline d _\sigma (U(W_2^\alpha ),L_2 ({\mathbb{R}}^d ))$$ \end{document}
hold, where U(W 2 α) is the Riesz potential or Bessel potential of the unit ball in L 2(ℝk) and the notations
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\overline K _\sigma$$ \end{document}
(·, ·,L 2(ℝd)) and
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\overline d _\sigma$$ \end{document}
(·, L 2(ℝd)) denote respectively the relative average width in the sense of Kolmogorov and the average width in the sense of Kolmogorov in their given order. In 2001, Subbotin and Telyakovskii got similar results on the relative width of Kolmogorov type. We also proved that
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\overline K _\sigma (U(W_2^\alpha ) \cap B(L_2 (\mathbb{R}^d )),U(W_2^\beta ) \cap B(L_2 (\mathbb{R}^d ))L_2 (\mathbb{R}^d )) = \overline d _\sigma (U(W_2^\alpha ),L_2 (\mathbb{R}^d )),$$ \end{document}
where 0 × β × α.

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# Human resource policy makers’, teachers’, and adult learners’ views on the impact of context- and teacher-generated autonomy on adult learners’ L2 motivation: Interview studies in Hungarian corporate contexts

Journal of Adult Learning, Knowledge and Innovation
Author: Csaba Kálmán

. This is surprising for two reasons. First, lifelong learning in developed economies is currently being given an unprecedented amount of consideration ( Billett, 2018 ); second, second-language (L2) autonomy research seems to have neglected its origins

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# Here and now: Self-revision in student translation processes from L2 and L3

Across Languages and Cultures
Authors: Goranka Antunović and Nataša Pavlović

The paper aims to investigate student translation processes from the second and third language (L2 and L3), with particular regard to self-revision. The authors report on a study conducted to test the following two hypotheses: a) The distribution of student self-revisions, i.e. in which phase of the process they occur, is primarily related to individual working habits and not to language pair; b) The type and quantity of self-revisions primarily depend on whether the student is working from his/her L2 or L3. The study is designed as a series of experiments involving students translating comparable texts (two sections of the same text produced by an EU institution of which multiple language versions exist) from their L2 (English) and L3 (Swedish) into their first language (Croatian). The processes are recorded with the help of a keystroke logging program (Translog). The type, number and distribution of self-revisions are analyzed. The findings suggest that the distribution of revisions over the phases may indeed be related to individual subjects’ habitual behavior. With regard to the expectation that the type and quantity of self-revisions primarily depend on SL competence, the findings do not provide a consistent picture.

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# Intramolekulare Redoxreaktionen bei der thermischen Zersetzung von Additionskomplexen des Typs Mo(NO)2Cl2L2 und Mo(NO)Cl3L2

Journal of Thermal Analysis and Calorimetry
Authors: B. Mohai, K. GyŐryová, and L. Bencze

The intermediates formed from Mo(NO)2Cl2 L 2 and Mo(NO)Cl3 L 2 by splitting-off of weakly-coordinated ligandsL (alcohols, glycols, nitriles) decompose in exothermic reactions: the decomposition products are N2, MoOCl4 and MoO3. If the ligandL is strongly coordinated and is reducing (DMFA, DMSO, Pph3, Asph3), the NO groups oxidize the ligandL by formation of N2 in an exothermic intramolecular redox process under 300‡. The central atom is oxidized by NO, and N2O is formed above 300‡ in the case of non-reducing ligandsL (OPph3, OAsph3). An endothermic redox reaction with chlorine formation is observed during decomposition of the trichloro complex. The solid residue is metallic molybdenum.

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# Относиелые поперечники классов в L 2(T), определённых линейным дифференциальным оператором в L q (T)

Analysis Mathematica
Author: Weiwei Xiao

## Abstract

In this paper, the smallest number M which makes the equality

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$K_n (W_2^{L_r } (T),MW_2^{L_r } (T),L_2 (T)) = d_n (W_2^{L_r } (T),L_2 (T))$$ \end{document}
valid, is established and the asymptotic order of
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$K_n (W_2^{L_r } (T),W_2^{L_r } (T),L_q (T)),1 \leqslant q \leqslant \infty$$ \end{document}
, is obtained, where
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$W_2^{L_r }$$ \end{document}
(T) is a periodic smooth function class which is determined by a linear differential operator, K n(·, ·, ·) and d n(·, ·) are the relative width and the width in the sense of Kolmogorov, respectively.

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# A Multivariate Approach to Lexical Diversity in Constrained Language

Across Languages and Cultures
Authors: Marta Kajzer-Wietrzny and Ilmari Ivaska

resulting from the parallel activation of two languages”. They classify translators as a subclass of bilinguals, arguing that the difference between second language (L2) communication and translation lies in the so-called descriptive and interpretive

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# Complexation of curium(III) with L2-aminobutyric acid investigated by time-resolved laser-induced fluorescence spectroscopy

Journal of Radioanalytical and Nuclear Chemistry
Authors: H. Moll and G. Bernhard

## Abstract

The complex formation of curium(III) with L2-aminobutyric acid was characterized by time-resolved laser-induced fluorescence spectroscopy (TRLFS) at trace Cm(III) concentrations (3·10−7 M). The various curium(III) species, MpHqLr, identified are characterized by their individual luminescence spectra and luminescence lifetimes. The following formation constants were determined log β101 = 5.17±0.07, log β102 = 9.00±0.07, and log β103 = 11.30±0.09 at ionic strength I = 0.5M. Possible structures of the curium aminobutyrate species will be discussed on the basis of the luminescence lifetime measurements and the magnitude of the formation constants.

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# Certain problems of the approximation of functions in two variables by Fourier-Hermite sums in the space L 2(Γ², e -x ² -y ²)

Analysis Mathematica
Authors: V. A. Abilov and M. V. Abilov

## Summary

We give an exact estimate of the deviation of the "triangular" partial sums of the double Fourier-Hermite series of functions of the class L r 2(D) in the space L 2(Γ, e -x -y ).

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# Influence of the pyridine methyl substituent position on the chemical changes of the NCS groups in the thermal decomposition of coordination compounds of the type Cu(NCS)2L2

Journal of Thermal Analysis and Calorimetry
Authors: M. Kabešová, I. Vargová, T. Šramko, and J. Gažo

The influence of the position of the CH3 group in picoline and lutidine ligands on the degree of chemical change of the NCS groups in coordination compounds of the type Cu(NCS)2L2 (whereL=2-, 3- and 4-picoline, and 2,3-, 2,4-, 2,5-, 2,6-, 3,4- and 3,5-lutidine) is dealt with. The most marked effect of the CH3 group is found to be exerted in position 4. This effect of the methyl group on the degree of chemical change points to the mutual influence of the ligands in coordination compounds of Cu(II).

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# On the Oximine Complexes of Transition Metals: Part 110: Spectroscopic and DSC study on some [Fe(Diox·H)2L2] and [Fe(Diox)3(BOR)2] type chelates and clathrochelates

Journal of Thermal Analysis and Calorimetry
Authors: L. Nagy, J. Zsakó, Cs. Novák, Cs. Várhelyi, Gy. Vankó, and G. Liptay

## Abstract

A number of 15 [Fe(Diox#x00B7;H)2L2] type chelates and [Fe(Diox)3(BOR)2] clathrochelates (Diox#x00B7;H2 — dimethylglyoxime, glyoxime, propoxime, nyoxime, furyl-dioxime; L-pyridine, alkyl-pyridine derivatives, diethyl-phenyl-phosphine, diethyl-p-tolyl-phosphine) were obtained and characterized by means of far and middle FTIR and Mössbauer spectroscopic methods. Some structural problems were discussed on the basis of the optical data.The DSC measurements show the higher thermal stability of the clathrochelates without O—H O intramolecular hydrogen bonds (with asymmetric octahedral structure), as compared to the [Fe(Diox#x00B7;H)2L2] trans, symmetric chelates containing O—H O bonds. The kinetic parameters of the thermal decomposition of the complexes have been derived using the nomogram method.

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