• Title/Summary/Keyword: group representation

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On the Decomposition of Cyclic G-Brauer's Centralizer Algebras

  • Vidhya, Annamalai;Tamilselvi, Annamalai
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.1-28
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    • 2022
  • In this paper, we define the G-Brauer algebras $D^G_f(x)$, where G is a cyclic group, called cyclic G-Brauer algebras, as the linear span of r-signed 1-factors and the generalized m, k signed partial 1-factors is to analyse the multiplication of basis elements in the quotient $^{\rightarrow}_{I_f}^G(x,2k)$. Also, we define certain symmetric matrices $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalized m, k signed partial 1-factor. We analyse the irreducible representations of $D^G_f(x)$ by determining the quotient $^{\rightarrow}_{I_f}^G(x,2k)$ of $D^G_f(x)$ by its radical. We also find the eigenvalues and eigenspaces of $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ for some values of m and k using the representation theory of the generalised symmetric group. The matrices $T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalised m, k signed partial 1-factors, which helps in determining the non semisimplicity of these cyclic G-Brauer algebras $D^G_f(x)$, where G = ℤr.

Analysis on Characteristics of University Students' Problem Solving Processes Based on Mathematical Thinking Styles (수학적 사고 스타일에 따른 함수의 문제해결과정의 특징 분석)

  • Choi, Sang Ho;Kim, Dong Joong;Shin, Jaehong
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.153-171
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    • 2013
  • The purpose of this study is to investigate characteristics of students' problem solving processes based on their mathematical thinking styles and thus to provide implications for teachers regarding how to employ multiple representations. In order to analyze these characteristics, 202 university freshmen were recruited for a paper-and-pencil survey. The participants were divided into four groups on a mathematical-thinking-style basis. There were two students in each group with a total of eight students being interviewed. Results show that mathematical thinking styles are related to defining a mathematical concept, problem solving in relation to representation, and translating between mathematical representations. These results imply methods of utilizing multiple representations in learning and teaching mathematics by embodying Dienes' perceptual variability principle.

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Hairdo Involvement.Hairdo Attitude Differences Depending on Clothing Involvement and Actual Conditions of Hairdo (의복관여에 따른 헤어관여와 헤어태도의 차이 및 헤어실태)

  • Lee, Hye-Weon;Kim, Mi-Young
    • Journal of the Korea Fashion and Costume Design Association
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    • v.9 no.2
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    • pp.69-83
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    • 2007
  • The purpose of this study was to investigate the differences in the hairdo involvement and hairdo attitude influenced by clothing involvement. In addition, actual conditions of hairdo were investigated. The questionnaires were given to female residents in Seoul and Gyeong-gi province during September to October 2006. Four hundred and six questionnaires were used for data analysis. The collected data were analyzed by using SPSS 12.0 software with various techniques such as factor analysis, Cronbach's alpha, cluster analysis, ANOVA test, Duncan test, frequency analysis and $X^2-test$. The results of this study were as follows; 1. The factors for clothing involvement were found to be interests and pleasure in clothes, coordination of clothes, symbolic representation, fashionableness, and risk awareness. The hairdo involvement factors were found to be interests and pleasure in hairdo, fashionableness, symbolic representation, risk awareness, and coordination of hairdo. The factors for attitude toward hairdo were found to be orientations toward leader's fashion conformity, distinct individuality, constancy, and consciousness of others. 2. According to the level of clothing involvement, three types of group were defined. When difference in the hairdo involvement was analyzed, all factors showed significant differences. When difference in the hairdo attitude was analyzed, significant differences were found in orientations toward leader's fashion conformity, distinct individuality and consciousness of others. 3. Reason for choosing hair style is 'it's because they wanted the hair style', 'it's easy to groom', 'it's what they usually choose'. Average hair grooming time is less than 5 minute had higher rate, and then less than 10 minute came second. The money spend on buying consumption goods for hair treatment per month had the highest rate on spending 10,000 to 20,000won and the source of information on hairdo had the highest rate on hairdresser. The reason for choosing hair saloon had the highest rate on hairdressing skill, which shows that people choose hair saloons which they can trust on hair saloon's hairdressing skill.

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Effective Method to Change Multimedia Scene Configuration Information Using DOM Update (DOM update를 이용한 효율적인 멀티미디어 장면 구성 정보 변경 방안)

  • Kim, Kyuheon;Park, JungWook;Kim, Byungchul
    • Journal of Broadcast Engineering
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    • v.18 no.1
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    • pp.43-58
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    • 2013
  • Richmedia Service means that interactive media service can provide view with various multimedia elements(such as Video, Audio, Text) at same time. Various Multimedia elements can be serviced by Scene Description technology standards like BIFS(Binary Format for Scenes) and LASeR(Light Application Scene Representation). By providing Scene Component information, richmedia service is available to various multimedia services. so users is available to personalized services fitting temporal and spatial options. In conventional technology, when the scene is changed by user or service, mobile deletes the scene of configuration information and makes new scene of configuration information. this is a very inefficient way. In this paper, Propoesed that by using DOM(Document Object Model) method, to pass only the dynamic configuration part, changes scene method.

Tourist Photography as Representation and Performance: Focused on Rubber Duck Project Seoul (재현과 수행으로서의 관광객 사진: '러버덕 프로젝트 서울'을 중심으로)

  • Oh, Jeongjoon
    • Journal of the Korean Geographical Society
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    • v.50 no.2
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    • pp.217-237
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    • 2015
  • Seokchon Lake, and the area surrounding it, have become symbolic with an environment of 'peace', 'delight', 'happiness', and 'healing' due to the large floating yellow rubber duck which sits within the lake. There exists, however, a hidden intention of a large corporation who wishes to make benefit of this installation and its healing properties. Nevertheless, the lake has become a hot destination for people to come and see the rubber duck and take romantic photos with it. The photographs taken and shared further expand the popularity and romantic environment of the duck and lake. This process is a perfectly hermeneutic circle. Self or group mediation through photographic performances with the rubber duck has allowed the lake to take on new meaning to visitors. For families taking photos together it has become a place of family bonding and love while for couples of any age it has been transformed into a place to express their love through pictures together with the duck. Even for selfie generation it has become a destination and muse. Tourists are not merely written upon, but are also enacting and inscribing places with their own stories. Therefore, photographic performances produce rather than consume and reflect geography of Seokchon lake.

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Numerical Calculation Method for Paraxial Zoom Loci of Complicated Zoom Lenses with Infinite Object Distance by Using Gaussian Bracket Method (가우스 괄호법을 이용한 무한 물점을 갖는 복잡한 줌 렌즈의 수치해석적인 근축광선 줌 궤적 추적법)

  • Yoo, Nam-Jun;Kim, Won-Seob;Jo, Jae-Heung;Ryu, Jae-Myung;Lee, Hae-Jin;Kang, Geon-Mo
    • Korean Journal of Optics and Photonics
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    • v.18 no.6
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    • pp.410-420
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    • 2007
  • We theoretically derive the set of utilizable paraxial zoom locus equations for all complicated zoom lens systems with infinite object distance, such as a camera zoom lens, by using the Gaussian bracket method and the matrix representation of paraxial ray tracing. And we make the zoom locus program according to these equations in Visual Basic. Since we have applied the paraxial ray tracing equations into Gaussian bracket representation, the resultant program systematically simplifies various constraints of the zoom loci of various N group types. Consequently, the solutions of this method can be consistently used in all types of zoom lens in the step of initial design about zoom loci. Finally, in order to verify the usefulness of this method, we show that one example among 4 groups and that among 5 groups, which are very complex zoom lens systems, can be rapidly and with versatility traced through various interpolations by using this program.

Global Advertising by Product Standardization Degree Comparative -Focused on Ads. of United States, Britain, Germany, Russia, Brazil, Japan- (글로벌 광고의 국가별·제품군별 표준화 정도 비교연구 -미국·영국·독일·러시아·브라질·일본의 광고를 대상으로-)

  • Choi, Kyung-Jin
    • The Journal of the Korea Contents Association
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    • v.18 no.1
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    • pp.143-153
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    • 2018
  • In this study, the difference in specific family of six countries for the representation of the elements of the global advertising through investigate the degree of standardization. National and cultural background, social and economic situation compared to the differences that appear here, would you want to see. Thereby global advertising on the message expressed in this and identify the limiting factor family By country looks for any difference illustrates. The analysis shows various contrasts and differences in products group and countries. But there is no need to pursue standardization of advertising in the global market. Why standardization is needed in terms of efficiency of communication in order to achieve cost savings, and the homogenization of preference. To do this, need to find a way to communicate in a global market of consumers can relate to. After all, this is simply not the standardization of advertising is determined that the communication environment and market conditions to build.

Migrant Representation in the English-language Media during the Brexit Campaign (브렉시트 캠페인 기간 동안 영어 미디어에 나타난 이민자들)

  • Lee, Jae-Seung
    • Cross-Cultural Studies
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    • v.45
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    • pp.325-348
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    • 2016
  • This study aims to identify the representation of migrants in the English-language media during the Brexit campaign period. For the purpose of this study, the methodological tool of corpus-assisted discourse studies(CADS) was employed and a collection was compiled of articles mentioning Brexit in British, American, Canadian, and Australian media from April 15 to June 22, 2016 in order to compare their portrayals of migrants. To examine how IMMIGRANT, MIGRANT, and REFUGEE are represented in the media, their collocates were analyzed by MI score and categorized by social actor categorization(Van Leeuwan, 1996). The results show that IMMIGRANT is related to collocates that refer to legal status and provenance, MIGRANT associated with economic terms, and REFUGEE relates to terms expressing quantities. The results also reveal that migrants are frequently depicted by functionalization, classification, and appraisement categorization and are more negatively portrayed in British and American media. This paper claims that corpus-assisted linguistic analysis of words enables one to identify salient linguistic patterns or lexical choices in the discourses about a particular phenomenon or group of people.

Validation of a Cognitive Task Simulation and Rehearsal Tool for Open Carpal Tunnel Release

  • Paro, John A.M.;Luan, Anna;Lee, Gordon K.
    • Archives of Plastic Surgery
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    • v.44 no.3
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    • pp.223-227
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    • 2017
  • Background Carpal tunnel release is one of the most common surgical procedures performed by hand surgeons. The authors created a surgical simulation of open carpal tunnel release utilizing a mobile and rehearsal platform app. This study was performed in order to validate the simulator as an effective training platform for carpal tunnel release. Methods The simulator was evaluated using a number of metrics: construct validity (the ability to identify variability in skill levels), face validity (the perceived ability of the simulator to teach the intended material), content validity (that the simulator was an accurate representation of the intended operation), and acceptability validity (willingness of the desired user group to adopt this method of training). Novices and experts were recruited. Each group was tested, and all participants were assigned an objective score, which served as construct validation. A Likert-scale questionnaire was administered to gauge face, content, and acceptability validity. Results Twenty novices and 10 experts were recruited for this study. The objective performance scores from the expert group were significantly higher than those of the novice group, with surgeons scoring a median of 74% and medical students scoring a median of 45%. The questionnaire responses indicated face, content, and acceptability validation. Conclusions This mobile-based surgical simulation platform provides step-by-step instruction for a variety of surgical procedures. The findings of this study help to demonstrate its utility as a learning tool, as we confirmed construct, face, content, and acceptability validity for carpal tunnel release. This easy-to-use educational tool may help bring surgical education to a new- and highly mobile-level.

A Comparison of Two Methods of Instruction on Mathematical Word Problem (교수 중재 방법에 따른 수학 문장제 수행 비교)

  • Kim, Euk-Gon
    • School Mathematics
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    • v.11 no.3
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    • pp.497-511
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    • 2009
  • This study compared two problem solving instructional approaches, schema based sequence instruction and schema based parallel instruction on word problem solving performance of elementary school students who were in general students group. The subjects totaled 48 third grade students who were exposed to a test that consisted of 9 word problem items of three types for 4 sessions. First of all, the baseline of word problem performance level was measured without any training. During session 1, 2 and 3 participants were put into strategic training groups. The experiment was designed by two between factor(two intervention group and two within factors(two problem types, three sessions). The results of experiment were as follows. Schema based sequence instruction group performed significantly better than students in another group on word problem solving performance. The effect of strategic schema based Instruction revealed that solving word problems relied upon problem types, sessions and input orders which were of great value.

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