• Title/Summary/Keyword: Symbols

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Mathematical Expressions and their Meanings in Lee Sang's Poetry (이상(李箱)의 시(詩)에 나타난 수학적 표현과 의미)

  • Shin, Kyunghee
    • Journal for History of Mathematics
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    • v.29 no.2
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    • pp.89-102
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    • 2016
  • Lee Sang, one of the representative poets of Korean Modern Poetry, wrote poems which present the existentialistic modernism in the 1920s, the chaotic era of Korean history. The characteristics of his works have been shown by various points of view. This paper especially explored the meaning and feature of mathematical expressions by numbers, symbols and other signs of mathematics in Lee's poems. His poems are composed by scientific and abstract rules in mathematics which are expressed as mathematical symbols. The paper focuses on analyzing seven poems which maximizes mathematical expressions among his poetry. This kind of work would be the one of ways to figure out the features of mathematics through literature.

A Visualization of the Solution of Truncated Series (절적(截積) 해법의 시각화)

  • Lee, Kyung Eon
    • Journal for History of Mathematics
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    • v.28 no.4
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    • pp.167-179
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    • 2015
  • We study the solution of truncated series of Lee Sang-hyeog with the aspect of visualization. Lee Sang-hyeog solved a problem of truncated series by 4 ways: Shen Kuo' series method, splitting method, difference sequence method, and Ban Chu Cha method. As the structure and solution of truncated series in tertiary number is already clarified with algebraic symbols in some previous research, we express and explain it by visual representation. The explanation and proof of algebraic symbols about truncated series is clear in mathematical aspects; however, it has a lot of difficulties in the aspects of understanding. In other words, it is more effective in the educational situations to provide algebraic symbols after the intuitive understanding of structure and solution of truncated series with visual representation.

Decoding of LT-Like Codes in the Absence of Degree-One Code Symbols

  • Abdulkhaleq, Nadhir I.;Gazi, Orhan
    • ETRI Journal
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    • v.38 no.5
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    • pp.896-902
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    • 2016
  • Luby transform (LT) codes were the first practical rateless erasure codes proposed in the literature. The performances of these codes, which are iteratively decoded using belief propagation algorithms, depend on the degree distribution used to generate the coded symbols. The existence of degree-one coded symbols is essential for the starting and continuation of the decoding process. The absence of a degree-one coded symbol at any instant of an iterative decoding operation results in decoding failure. To alleviate this problem, we proposed a method used in the absence of a degree-one code symbol to overcome a stuck decoding operation and its continuation. The simulation results show that the proposed approach provides a better performance than a conventional LT code and memory-based robust soliton distributed LT code, as well as that of a Gaussian elimination assisted LT code, particularly for short data lengths.

Approximate ML Detection with the Best Channel Matrix Selection for MIMO Systems

  • Jin, Ji-Yu;Kim, Seong-Cheol;Park, Yong-Wan
    • Journal of Electrical Engineering and Technology
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    • v.3 no.2
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    • pp.280-284
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    • 2008
  • In this paper, a best channel matrix selection scheme(BCMS) is proposed to approximate maximum likelihood(ML) detection for a multiple-input multiple-output system. For a one stage BCMS scheme, one of the transmitted symbols is selected to perform ML detection and the other symbols are detected by zero forcing(ZF). To increase the diversity of the symbols that are detected by ZF, multi-stage BCMS detection scheme is used to further improve the system performance. Simulation results show that the performance of the proposed BCMS scheme can approach that of ML detection with a significant reduction in complexity.

Performance Analysis of SFBC-OFDM Systems with a Antenna Selection using Pilot Symbols (파일럿 심볼을 이용한 안테나 선택방법을 적용한 SFBC-OFDM 시스템의 성능분석)

  • Kang, Heehoon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.7
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    • pp.165-168
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    • 2015
  • In this paper, we analyze a SFBC-OFDM(Space Frequency Block Code-Orthogonal Frequency Division Multiplexing) system with antenna selection method using pilot symbols. An antenna selection criterion is based on channel coefficients estimated from pilot symbols. At each frequency, the channel coefficients is arranged and the best is selected, and then data is sent to those antenna with the best coefficients. Also, The coding and diversity gain of the proposed system are analyzed.

Multi-Symbol Binary Arithmetic Coding Algorithm for Improving Throughput in Hardware Implementation

  • Kim, Jin-Sung;Kim, Eung Sup;Lee, Kyujoong
    • Journal of Multimedia Information System
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    • v.5 no.4
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    • pp.273-276
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    • 2018
  • In video compression standards, the entropy coding is essential to the high performance compression because redundancy of data symbols is removed. Binary arithmetic coding is one of high performance entropy coding methods. However, the dependency between consecutive binary symbols prevents improving the throughput. For the throughput enhancement, a new probability model is proposed for encoding multi-symbols at one time. In the proposed method, multi-symbol encoder is implemented with only adders and shifters, and the multiplication table for interval subdivision of binary arithmetic coding is removed. Compared to the compression ratio of CABAC of H.264/AVC, the performance degradation on average is only 1.4% which is negligible.

Understanding Symbols through Mandala Art Work, Collection and Classification: Application of Autoethnography

  • Park, Boram
    • International Journal of Advanced Culture Technology
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    • v.10 no.3
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    • pp.77-84
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    • 2022
  • This study focused on the spirit to becoming the true "I" as a human, and it attempted to pay attention to the "images" sent by the unconscious to prompt the reality of that spirit. The purpose of this study was to identify the symbols in myths and folk tales that appeared in the individual's dreams and to shed light on how the universal experiences of humankind are re-experienced and integrated into an individual's life. This study used a total of 105 mandala paintings collected through the researcher's own dreams from February 2019 to September 2020. Among them, repeated symbols were classified into basic shapes, squares, crosses, triangles, circles, and spirals, as suggested by Riedel. The study truthfully described the discovery of a practical layer of psychology as a human's individualization and changing, resulting in autoethnography, which is a type of qualitative study.

Diversity and Distribution of Natural Symbol Species as Local Government's Symbols (Bird, Flower, Tree): Identifying the Public Awareness on Biodiversity (지방자치단체 자연상징물(새, 꽃, 나무)의 다양성과 분포: 생물다양성의 인식도 평가)

  • Do, Yuno;Kim, Ji Yoon;Im, Ran-Young;Choi, Gi Ryong;Joo, Gea-Jae
    • Korean Journal of Ecology and Environment
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    • v.46 no.3
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    • pp.419-428
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    • 2013
  • We identified the diversity, geographical distribution, ecological characteristics of birds, trees, and flowers species designated as local government symbols as a means for understanding public awareness on biodiversity. A total of 114 species including 48 birds, 40 flowers, 36 tree species belonging to 40 orders 59 families 90 genus were designated as natural symbols. Pica pica (L.) in birds, Rhododendron schlippenbachii Maxim. among flowers, have also been designated as symbols. The tree Ginkgo biloba L. was designated with the highest frequency. Local governments located coastal area were selected bird species of the Laridae family and the tree species Camellia japonica L., of Pinaceae as their natural symbols. In contrast, local governments located inland have designated resident bird species such as P. pica and Columba rupestris (Pallas) and flower species from the Ericaceae as natural symbols widely distributed and easily observed throughout South Korea. However, many local governments have designated the same species as a natural symbol based on their size color and public appeal and popularity. The information about the popular species and their ecological traits are useful for establishing the criteria as flagship or iconic species selection and their roles in habitat conservation.

Construction of 3D Digital Maps Using 3D Symbols (3차원 심볼을 활용한 3차원 수치지도 제작에 관한 연구)

  • Park, Seung-Yong;Lee, Jae-Bin;Yu, Ki-Yun;Kim, Yong-Il
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.5
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    • pp.417-424
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    • 2006
  • Despite of many researches related to create 3D digital maps, it is still time-consuming and costly because a large part of 3D digital mapping is conducted manually. To circumvent this limitation, we proposed methodologies to create 3D digital maps with 3D symbols automatically. For this purpose, firstly, the 3D symbol library to represent 3D objects as 3D symbols was constructed. In this library, we stored the attribute and geometry information of 3D objects which define types and shapes of symbols respectively. These information were used to match 3D objects with 3D symbols and extracted from 2D digital maps and LiDAR(Light Detection and Ranging) data. Then, to locate 3D symbols into a base map automatically, we used predefined parameters such as the size, the height, the rotation angle and the center of gravity of 3D objects which are extracted from LiDAR data. Finally, the 3D digital map in urban area was constructed and the results were tested. Through this research, we can identify that the developed algorithms can be used as effective techniques for 3D digital mapping.

Symbol Sense Analysis on 6th Grade Elementary School Mathematically Able Students (초등학교 6학년 수학 우수아들의 대수 기호 감각 실태 분석)

  • Cho, Su-Gyoung;Song, Sang-Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.937-957
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    • 2010
  • The purpose of this study is to discover the features of symbol sense. This study tries to sum up the meaning and elements of symbol sense and the measures to improve them through documents. Also based on this, it analyzes the learning conditions about symbol sense for 6th grade mathematically able students and suggests the method that activates symbol sense in the math of elementary schools. Considering various studies on symbol sense, symbol sense means the exact knowledge and essential understanding in a comprehensive way. Symbol sense is an intuition about symbols that grasps the meaning of symbols, understands the situation of question, and realizes the usefulness of symbols in resolving a process. Considering all other scholars' opinions, this study sums up 5 elements of the symbol sense. (The recognition of needs to introduce symbol, ability to read the meaning of symbols, choice of suitable symbols according to the context, pattern guess through visualization, recognize the role of symbols in other context) This study draws the following conclusions after applying the symbol questionnaires targeting 6th grade mathematically able students : First, although they are math talents, there are some differences in terms of the symbol sense level. Second, 5 elements of the symbol sense are not completely separated. They are rather closely related in terms of mainly the symbol understanding, thereby several elements are combined.

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