DSpace community: 數學系

設計與評估電腦輔助邏輯句型課程對學生句子能力與動機之影響

Thu, 23 Apr 2026 08:26:13 GMT

title: 設計與評估電腦輔助邏輯句型課程對學生句子能力與動機之影響 abstract: 摘要： Constructing well-formed sentences is an important element of writing. However, many students struggled with this skill. The purpose of this study were to design and evaluation of computer assisted logical sentence composing learning on the students’ performance and motivation. Hence, based on Variation Theory, the eight categories logical sentence composing instruction were designed. To understand the effective of this instruction, the study was conducted in an elementary and the participants were 94 4th grade students from 3 classes. The control group was conventional instruction and a delay posttest. The experiment group implemented the logical sentence composing instruction during three months and conducted the pre/post/delay-test of sentence, ARCS motivation questionnaires, and interviews. The fi ndings show that the experiment students’ logical sentence composing has signifi cant improvement and the results of ARCS questionnaire showed students regard the instruction were position: Attention (62.19%), R 其他題名： Interbtional Journal on Digital Learning Technology 出版者：台灣: 台灣數位學習與內容學會出版日期： 2016-10 出處：數位學習科技期刊, 2016-10, Vol.8 (4), p.001-026 資源來源：華藝CEPS中文電子期刊服務識別號： ISSN: 2071-260X 識別號： DOI: 10.3966/2071260X2016100804001

Zero-dilation indices of KMS matrices

Thu, 23 Apr 2026 08:26:10 GMT

title: Zero-dilation indices of KMS matrices abstract: 摘要： The zero-dilation index d(A) of an n-by-n complex matrix A is the maximum size of the zero matrix which can be dilated to A. In this paper, we determine the value of this index for the KMS matrix [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] by using the Li-Sze characterization of higher-rank numerical ranges of a finite matrix. Key words and phrases. Zero-dilation index, KMS matrix, higher-rank numerical range, [S.sub.n] -matrix, [S.sup.-1.sub.n] -matrix. 出版者： Springer 出版日期： 2014-01-01 出處： Ann. Funct. Anal, 2014-01, Vol.5 (1), p.30-35 版權： COPYRIGHT 2014 Springer 版權： Copyright 2014 Tusi Mathematical Research Group 識別號： ISSN: 2008-8752 識別號： EISSN: 2008-8752 識別號： DOI: 10.15352/afa/1391614566

Zero-dilation index of Sn-matrix and companion matrix

Thu, 23 Apr 2026 08:25:57 GMT

title: Zero-dilation index of Sn-matrix and companion matrix abstract: 摘要： The zero-dilation index$d(A)$of a square matrix$A$is the largest$k$for which$A$is unitarily similar to a matrix of the form${\scriptsize\left[\begin{array}{cc} 0_k & \ast\\ \ast & \ast\end{array}\right]}$ , where$0_k$denotes the$k$ -by- $k$zero matrix. In this paper, it is shown that if$A$is an$S_n$ -matrix or an$n$ -by- $n$companion matrix, then$d(A)$is at most$\lceil n/2\rceil$ , the smallest integer greater than or equal to$n/2$ . Those$A$ 's for which the upper bound is attained are also characterized. Among other things, it is shown that, for an odd$n$ , the$S_n$ -matrix$A$is such that$d(A)=(n+1)/2$if and only if$A$is unitarily similar to$-A$ , and, for an even$n$ , every$n$ -by- $n$companion matrix$A$has$d(A)$equal to$n/2$ 出版日期： 2016-02-05 出處： The Electronic journal of linear algebra, 2016-02, Vol.31, p.666-678 資源來源： Alma/SFX Local Collection 識別號： ISSN: 1081-3810 識別號： ISSN: 1537-9582 識別號： EISSN: 1081-3810 識別號： DOI: 10.13001/1081-3810.3193

Zero-dilation index of a finite matrix

Thu, 23 Apr 2026 08:25:54 GMT

title: Zero-dilation index of a finite matrix abstract: 出版日期： 2014-01 出處： Linear algebra and its applications, 2014-01, Vol.440, p.111-124 資源來源： Elsevier ScienceDirect Journals Complete 識別號： ISSN: 0024-3795 識別號： DOI: 10.1016/j.laa.2013.10.041