• Title/Summary/Keyword: Diversity of Expression

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A View on the Diversity of the Word and Mathematical Notation Expression Used in High School Mathematics Textbooks (고등학교 수학 교과서에서 사용되는 어휘(語彙)와 수학 기호 표현의 다양성에 대한 소고(小考))

  • Yang, Seong Hyun
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.211-237
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    • 2017
  • Depending on the type of textbook, the word and mathematical notation expression used in high school mathematics textbooks varied and there were also some differences on the mathematical definition and the content description methods. Not only the composition of textbooks but also various expressing ways of textbooks have significant impacts on teaching and learning of teacher and student. The diversity of expression had pros and cons like both sides of a coin. There is a positive aspect that we can pursue pedagogical diversity. Simultaneously there is a negative aspect that the possibility of acting as a learning burden exists in the viewpoint of the student and the equality of evaluation may be undermined. In this study, Preferentially we focused on analyzing the actual situation rather than judging what is more appropriate about the diversity of words and notation expressions used in mathematics textbooks which is based on the current curriculum. For this purpose, we analyzed 56 kinds of mathematics textbooks based on the 2009 revised mathematics curriculum, and presented four aspects(terms expressing, notations expression, mathematical definition, content description method) with examples about differences of the various expressions used in textbooks including 'terms and notations'.

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Sequence Diversity of a Domesticated Transposase Gene, MUG1, in Oryza Species

  • Kwon, Soon-Jae;Park, Kyong-Cheul;Son, Jae-Han;Bureau, Thomas;Park, Cheul-Ho;Kim, Nam-Soo
    • Molecules and Cells
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    • v.27 no.4
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    • pp.459-465
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    • 2009
  • MUG1 is a MULE transposon-related domesticated gene in plants. We assessed the sequence diversity, neutrality, expression, and phylogenetics of the MUG1 gene among Oryza ssp. We found MUG1 expression in all tissues analyzed, with different levels in O. sativa. There were 408 variation sites in the 3886 bp of MUG1 locus. The nucleotide diversity of the MUG1 was higher than functionally known genes in rice. The nucleotide diversity (${\pi}$) in the domains was lower than the average nucleotide diversity in whole coding region. The ${\pi}$ values in nonsynonymous sites were lower than those of synonymous sites. Tajima D and Fu and Li $D^*$ values were mostly negative values, suggesting purifying selection in MUG1 sequences of Oryza ssp. Genome-specific variation and phylogenetic analyses show a general grouping of MUG1 sequences congruent with Oryza ssp. biogeography; however, our MUG1 phylogenetic results, in combination with separate B and D genome studies, might suggest an early divergence of the Oryza ssp. by continental drift of Gondwanaland. O. long-istaminata MUG1 divergence from other AA diploids suggests that it might not be a direct ancestor of the African rice species.

Linear Diversity Analysis for M-ary Square Quadrature Amplitude Modulation over Nakagami Fading Channels

  • Yoon, Dong-Weon;Chang, Dae-Ig;Kim, Nae-Soo;Woo, Hoon-Shik
    • ETRI Journal
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    • v.25 no.4
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    • pp.231-237
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    • 2003
  • We derive and analyze the exact closed-form expression for the average bit error probability (BEP) of M-ary square quadrature amplitude modulation (QAM) for diversity reception in frequency-nonselective Nakagami fading. A maximal ratio combining (MRC) diversity technique with independent or correlated fading cases are considered. Numerical results demonstrate error performance improvement with the use of MRC diversity reception. The presented new expressions offer a convenient way to evaluate the performance of M-ary square QAM with an MRC diversity combiner for various cases of practical interest.

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Performance Analysis of LR-aided ZF Receiver for MIMO Systems

  • Kim, Sangchoon
    • International journal of advanced smart convergence
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    • v.7 no.3
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    • pp.37-43
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    • 2018
  • Lattice-reduction (LR) techniques have been developed for signal detection in spatial multiplexing multiple input multiple output (MIMO) systems to obtain the largest diversity gain. Thus, an LR-assisted zero-forcing (ZF) receiver can achieve the maximum diversity gain in spatial multiplexing MIMO systems. In this paper, a simplified analysis of the achievable diversity gain is presented by fitting the channel coefficients lattice-reduced by a complex Lenstra-Lenstra-$Lov{\acute{a}}z$ (LLL) algorithm into approximated Gaussian random variables. It will be shown that the maximum diversity gain corresponding to two times the number of receive antennas can be achieved by the LR-based ZF detector. In addition, the approximated bit error rate (BER) expression is also derived. Finally, the analytical BER performance is comparatively studied with the simulated results.

Training of Future Specialists in Modern Conditions: Cultural Aspects

  • Horban, Yurii;Koshelieva, Oksana;Bigus, Olga;Chepalov, Oleksandr;Bazela, Dmytro
    • International Journal of Computer Science & Network Security
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    • v.22 no.7
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    • pp.404-412
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    • 2022
  • An increasing number of students from different cultures study in higher primary schools. This trend is due to: 1) the government's discourse on increasing the level of participation of foreign students in national educational programs and the need for internationalization; 2) the need of employers for professionals who are trained to work in a multicultural environment to meet the needs of different markets and customers. Methodology. This study is based on the results of the OECD (2018) structured survey of 1,093 teachers at universities in Australia, Colombia, the Czech Republic, Denmark, Georgia, Malta, Vietnam, Turkey, and Argentina, examined policy, the practice of cultural characteristics in training specialists, and teachers' attitudes to cultural diversity. Results. The attitude and perception of cultural features by teachers does not determine the practice of forming a cultural environment and managing this environment to ensure quality education of students of different nations. The main culturological aspects of training are self-expression of cultural and ethnic identities, expression of cultural characteristics and their value through multicultural activities in universities, teaching students to combat ethnic or cultural discrimination. Therefore, the formation of a multicultural environment in higher education occurs through the activities of students and teachers, which complement each other. The practical value lies in identifying two important components of the formation of cultural diversity among students, such as self-expression of ethnic and cultural identity and the expression of cultural differences by teachers in the course of educational activities.

Diversity based Ensemble Genetic Programming for Improving Classification Performance (분류 성능 향상을 위한 다양성 기반 앙상블 유전자 프로그래밍)

  • Hong Jin-Hyuk;Cho Sung-Bae
    • Journal of KIISE:Software and Applications
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    • v.32 no.12
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    • pp.1229-1237
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    • 2005
  • Combining multiple classifiers has been actively exploited to improve classification performance. It is required to construct a pool of accurate and diverse base classifier for obtaining a good ensemble classifier. Conventionally ensemble learning techniques such as bagging and boosting have been used and the diversify of base classifiers for the training set has been estimated, but there are some limitations in classifying gene expression profiles since only a few training samples are available. This paper proposes an ensemble technique that analyzes the diversity of classification rules obtained by genetic programming. Genetic programming generates interpretable rules, and a sample is classified by combining the most diverse set of rules. We have applied the proposed method to cancer classification with gene expression profiles. Experiments on lymphoma cancer dataset, prostate cancer dataset and ovarian cancer dataset have illustrated the usefulness of the proposed method. h higher classification accuracy has been obtained with the proposed method than without considering diversity. It has been also confirmed that the diversity increases classification performance.

Analysis of Advertisement Types of Global Fashion Brands : A study focused on the trends of photo image components and styles of expression in global fashion advertisements. (글로벌 패션브랜드 광고의 유형 분석 - 패션광고 사진이미지 구성요소와 표현형식을 중심으로 -)

  • Chang, Gyeong-Hae
    • Journal of the Korea Fashion and Costume Design Association
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    • v.19 no.4
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    • pp.17-27
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    • 2017
  • This study analyzes the trends of photo image components and forms of expression in global fashion advertising photos. First, photo image components are classified into seven categories: location (indoor-outdoor), the model's movement, pose, facial expression, gender, race and number of models. The forms of expression are classified into six categories: direct expression, sensual expression, symbolic expression, storytelling expression, dramatic expression, and sexual expression. With the aforementioned classifications, the trends were studied for three years from 2013 to 2015. The analysis result indicates the following: for the details of photo image components, the portion of indoor photos, static poses and conscious facial expressions was over 60% of the total for every season of the 3 years, while there was a slight increase in the number of models and the diversity of races. For the forms of expression, the sensual expression showed the largest portion accounting for over 50% of the total, followed by direct expression and storytelling expression. The findings from this study show that the trends of photo image components and forms of expression in global fashion advertisements are changing. Therefore, domestic companies will need to develop photo image components and forms of expression in line with the changing global fashion advertisement trends.

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On Maximum Diversity Order over Doubly-Selective MIMO-OFDM Channes

  • Yang Qinghai;Kwak Kyung Sup
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.7A
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    • pp.628-638
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    • 2005
  • The analysis of maximum diversity order and coding gain for multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems over time-and frequency-selective (or doubly-selective) channels is addressed in this paper. A novel channel time-space correlation function is developed given the spatially correlated doubly-selective Rayleigh fading channel model. Based on this channel-model assumption, the upper-bound of pairwise error probability (PEP) for MIMO-OFDM systems is derived under the maximum likelihood (ML) detection. For a certain space-frequency code, we quantify the maximum diversity order and deduce the expression of coding gain. In this wort the impact of channel time selectivity is especially studied and a new definition of time diversity is illustrated correspondingly

Performance analysis of asynchronous DS-CDMA system with MRC diversity in fading channels

  • Seo, Seok;Lee, Chan-kil
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.11A
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    • pp.1237-1243
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    • 2004
  • This paper presents and analyses the closed-form expression of the average bit error rate (BER) for an asynchronous direct-sequence code division multiple access (DS-CDMA) system with coherent binary phase shift keying (BPSK) modulation scheme using a maximal ratio combining (MRC) diversity over a Rician fading channel. In addition to the average BER, outage probability, and user capacity of system are estimated as performance measures. The results are general enough so that it includes Rayleigh fading and nonfading channel with zero and infinite Rician factor, respectively, as special cases. The effects of various channel models, processing gains, and diversity orders on the system performances are also considered for the typical multipath delay profiles characterized by Rician fading channel.

Characteristic-Function-Based Analysis of MIMO Systems Applying Macroscopic Selection Diversity in Mobile Communications

  • Jeong, Wun-Cheol;Chung, Jong-Moon;Liu, Dongfang
    • ETRI Journal
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    • v.30 no.3
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    • pp.355-364
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    • 2008
  • Multiple-input multiple-output (MIMO) systems can provide significant increments in capacity; however, the capacity of MIMO systems degrades severely when spatial correlation among multipath channels is present. This paper demonstrates that the influence of shadowing on the channel capacity is more substantial than that of multipath fading; therefore, the shadowing effect is actually the dominant impairment. To overcome the composite fading effects, we propose combining macroscopic selection diversity (MSD) schemes with MIMO technology. To analyze the system performance, the capacity outage expression of MIMO-based MSD (MSD-MIMO) systems using a characteristic function is applied. The analytic results show that there are significant improvements when MSD schemes are applied, even for the two-base-station diversity case. It is also observed that the effect of spatial correlation due to multipath fading is almost negligible when multiple base stations cooperatively participate in the mobile communication topology.

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