• Title/Summary/Keyword: Symbolic Manipulation

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The measures for nursing the foundational math skills of the lower grade elementary school children (초등학교 저학년 아동을 위한 기초적 수학 능력의 신장 방안)

  • 이순주
    • Education of Primary School Mathematics
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    • v.6 no.2
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    • pp.75-84
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    • 2002
  • After entering an elementary school, in fact, a number of children regard mathematics as one of very difficult subjects because of its abstractiveness. This is caused by the fact that their basic thinking power is not yet formed or they can not understand the special quality of mathematics. So this article emphasizes the need to build up the higher logical thought and a basic mathematical concept at the lower grade elementary school stage in which the loaming activity on mathematics begins in earnest, that is, at the stage before having an experience on the calculating activity using numbers. But at present the lower grade elementary school students in our country do not understand the special quality of mathematics composed of a various symbolic system and lay stress upon mathematics learning attached to the calculative activity. In order to make the right mathematical concept of the lower grade elementary school, the basic knowledge and ability as follows is sure to be formed. 1) the foundational logical manipulation activity and knowledge 2) the using ability of the sign and symbolic system At the stage on which mathematics learning activity begins, it is a very important task to make the right concept of the abstractive math and nurse the capability for finding mathematical relations covered under the sign system through the continuos loaming activity on . Through the basic logical manipulation activity and the game activity of sign for lower grade elementary school students mentioned in this article, they can not only foster the higher level logical thinking power and the foundational calculative ability but also bring up the interest on the activity of establishing a new problem solving strategy.

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Revisiting the Concept of Suture in Lacanian Film Criticism (라캉주의 영화비평에서 봉합이론의 재고찰)

  • Kim, Jiyoung
    • Journal of English Language & Literature
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    • v.58 no.4
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    • pp.565-588
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    • 2012
  • This paper aims at reconsidering 'suture,' a key concept in early Lacanian film criticism, with a view to narrowing a supposed gap between early Lacanian and later Lacanian film criticism. Early Lacanian film theorists, among whom Jean-Pierre Oudart, Jean-Louis Baudry, Laura Mulvey and Daniel Dayan, to name a few, are prominent, focus on cinematic signifying system as well as its ideological effects on shaping subjectivity of the audience. Initiated by Jacques-Alain Miller's article on suture as the logic of signifier and grafted into film as the logic of the cinematic by Oudart's writing, the concept of suture was established as a key word in early Lacanian film criticism. In their taxonomy, suture refers to the processes by which the audience are stitched into the story-world of a film. The audience are drawn into the film and take up positions as subjects-within-the-film such that they make sense of and respond to what the film represents as they are encouraged to do so by the film itself. On the other hand, later Lacanian film critics, who are much influenced by Lacan's later emphasis on the Real, focus on concepts such as gaze, petit objet a, fantasy, rather than suture. They are more concerned with the failure of suture and the disruption of the Symbolic than the ideological effects of suture and the consolidation of the Symbolic. They require a break from the previous approach of Lacanian film theory which centers around the Imaginary and the Symbolic. However, early Lacanian and later Lacanian film theory do not manifest as much disparity as they are supposed to do, for both are against the ideological manipulation of suture. Slavoj Žižek, a leading scholar of later Lacanian psychoanalysis, revives the concept of suture as a patch of the Symbolic which covers the gap, if not always successful.

Closed form ultimate strength of multi-rectangle reinforced concrete sections under axial load and biaxial bending

  • da Silva, V. Dias;Barros, M.H.F.M.;Julio, E.N.B.S.;Ferreira, C.C.
    • Computers and Concrete
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    • v.6 no.6
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    • pp.505-521
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    • 2009
  • The analysis of prismatic members made of reinforced concrete under inclined bending, especially the computation of ultimate loads, is a pronounced non-linear problem which is frequently solved by discretizing the stress distribution in the cross-section using interpolation functions. In the approach described in the present contribution the exact analytical stress distribution is used instead. The obtained expressions are integrated by means of a symbolic manipulation package and automatically converted to optimized Fortran code. The direct problem-computation of ultimate internal forces given the position of the neutral axis-is first described. Subsequently, two kinds of inverse problem are treated: the computation of rupture envelops and the dimensioning of reinforcement, given design internal forces. An iterative Newton-Raphson procedure is used. Examples are presented.

Synthesis of a planar 3 degree-of-freedom adjustible compliance mechanism

  • Kim, Whee-Kuk;Yi, Byung-Ju;Kim, Dong-Gu
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.334-339
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    • 1994
  • In this work, we propose a planar three degree-of-freedom parallel mechanism as another type of assembly device which utilized joint compliances. These joint compliances can be adjusted either by properly replacing the joint compliances or by actively controlling stiffness at joints, in order to generate the desired operational compliance characteristics at RCC point, The operational compliance matrix for this mechanism is explicitly obtained by symbolic manipulation and its operational compliance characteristics are examined, it is found that the RCC point exists at the center of the workspace when the mechanism maintains symmetric configurations. Compliance characteristic and its sensitivity of this mechanism is analyzed with respect to the magnitude of the diagonal compliance components and two different matrix norms measuring compliance sensitivity. It is expected that the analysis results provide the designer with a helpful information to determine a set of optimal parameters of this RCC mechanism.

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Automatic Generation of Dynamic Equations for Robotic Manipulators using Personal Computer (개인용 컴퓨터를 이용한 로보트 매니퓨레이터의 동적 방정식의 자동새성에 관한연구)

  • 황창선;최영규;원태현;서종일
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.4
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    • pp.226-231
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    • 1988
  • A program is developed for generating the dynamic equations for the robotic manipulators using the symbolic language muSIMP/ MATH. The muSIMP/ MATH is a LISP-based computer. algebra package, devoted to the manipulation of algebraic expressions including numbers, variables, functions, and matrices. The muSIMP-MATH can operate on personal computer such as IBM-PC. The program is developed, based on the Lagrange-Euler formulation. This program is applicable to the manipulators with any number of degrees of freedom, and maximum number of degrees of freedom is set to be six in this program.

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Solving Sangaku: A Traditional Solution to a Nineteenth Century Japanese Temple Problem

  • Hosking, Rosalie Joan
    • Journal for History of Mathematics
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    • v.30 no.2
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    • pp.53-69
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    • 2017
  • This paper demonstrates how a nineteenth century Japanese votive temple problem known as sangaku from Okayama prefecture can be solved using traditional mathematical methods of the Japanese Edo (1603-1868 CE). We compare a modern solution to a sangaku problem from Sacred Geometry: Japanese Temple Problems of Tony Rothman and Hidetoshi Fukagawa with a traditional solution of ${\bar{O}}hara$ Toshiaki (?-1828). Our investigation into the solution of ${\bar{O}}hara$ provides an example of traditional Edo period mathematics using the tenzan jutsu symbolic manipulation method, as well as producing new insights regarding the contextual nature of the rules of this technique.

Representation Forms of Personal Style on the Fashion Blogs (패션블로그에서 퍼스널 스타일 표현형식)

  • Suh, Sung Eun
    • Fashion & Textile Research Journal
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    • v.16 no.5
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    • pp.689-697
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    • 2014
  • This study aims to analyze the representation forms of bloggers' personal style on the fashion blogs and enlighten their values which can be actively applied to design and marketing in fashion industry. Image representation of fashion bloggers is reflected by the characteristics in the digital environment, which are the creative manipulation of expression and the production of virtual and fantastic images by taking advantage of the composite medium such as images, music, videos, articles, etc. Also real time updates in blog indicate the latest trends in terms of the representation of image as the actual currency. The study conducted case studies of 5 women's personal fashion blogs through the verification of a variety of global fashion media and blog ranking sites: Style Bubble, Style Rookie, The Cherry Blossom Girl, The Blond Salad, and Fashion Toast. Research findings are as follows. First, the application of creative design elements is indicated as symbolic items, self-made designs, DIY, and various mix and match emphasizing design elements such as color, patterns, proportion, etc. Second, the virtual representation is very highlighted on the story telling applied by film like production or digital effect. Third, the commercial application with mainly sponsored wardrobe and designer collaboration indicates promoting a updated trend as well as a specific brand or designer to make their business profits.

Comparative Study in Algebra Education with CAS: Korea and US cases (컴퓨터 대수체계(CAS) 대비 중등대수교육 기초 연구)

  • Chang, Kyung-Yoon
    • School Mathematics
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    • v.10 no.2
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    • pp.297-317
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    • 2008
  • This study was designed to gain insight to adopt CAS into secondary level algebra education in Korea. Most inactive usage of calculators in math and most negative effects of calculators on their achievements of Korean students were shown in International studies such as TIMSS-R. A comparative study was carried out with consideration of mathematical backgrounds and technological environments. 8 Korean students and 26 US students in Grade 11 were participated in this study. Subjects' Problem solving process and their strategies of CAS usage in classical Box-problem with CAS were analyzed. CAS helped modeling by providing symbolic manipulation commands and graphs with students' mathematical knowledge. Results indicates that CAS requires shifts focus in algebraic contents: recognition of decimal & algebraic presentations of numbers; linking various presentations, etc. The extent of instrumentation effects on the selection of problem solving strategies among Korea and US students. Instrumentation

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Exploration of the Composite Properties of Linear Functions from Instrumental Genesis of CAS and Mathematical Knowledge Discovery (CAS의 도구발생과 수학 지식의 발견 관점에서 고찰한 일차함수의 합성 성질 탐구)

  • Kim, Jin-Hwan;Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.611-626
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    • 2010
  • The purpose of this study is to explore the composite properties of linear functions using CAS calculators. The meaning and processes in which technological tools such as CAS calculators generated to instrument are reviewed. Other theoretical topic is the design of an exploring model of observing-conjecturing-reasoning and proving using CAS on experimental mathematics. Based on these background, the researchers analyzed the properties of the family of composite functions of linear functions. From analysis, instrumental capacity of CAS such as graphing, table generation and symbolic manipulation is a meaningful tool for this exploration. The result of this study identified that CAS as a mediator of mathematical activity takes part of major role of changing new ways of teaching and learning school mathematics.

A Study of Wedding Dress Materials Using the Characteristics of Hanji: Focusing on Making Minimal Wedding Dresses (한지의 특성을 이용한 웨딩드레스 소재 연구: 미니멀 웨딩드레스 제작을 중심으로)

  • Lee, Jihyun;Kan, Hosup
    • Journal of Fashion Business
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    • v.25 no.1
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    • pp.80-95
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    • 2021
  • In the modern fashion industry, the application of different materials along with an emotional design is emerging as an important factor stimulating consumer sentiment. This has led to the diversity of materials and continued active research on materials. Traditional Korean paper is expressed in various ways in the field of visual arts based on Korean sentiment and unique formative characteristics. Hanji costumes have been produced in various ways over the past 20 years utilizing Hanji's physical characteristics, showing unique surface texture and various techniques that differentiate them from existing fabrics, making it symbolic in expanding the area of fashion materials. In this work, various techniques were developed by utilizing the nonwoven characteristics and excellent variability of Hanji while considering visual images, focusing on the delicate decorations and materialistic representations of wedding dresses. In addition, minimal wedding dresses with unique textures were produced to realize fantasy ideas and show surface aesthetics, confirming as a fashion material different from that of existing wedding dresses. The direction of high value-added creation for the industrialization and globalization of Hanji wedding dresses was presented, and the usefulness and scalability of Hanji materials for practical and industrialization were identified in materials that expressed visual art. To in the fashion industry, which is changing in both the wedding industry and the global market, the development of materials with high sensitivity images and original and solid identity should continue.