• Title/Summary/Keyword: Geometric change

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A Study on Teaching Mathematical Proofs of the Middle School Students Using the 'Poof Assisted Cards' (증명보조카드를 활용한 중학생의 증명지도에 관한 연구)

  • Cho, Cheong-Soo;Lee, Jeong-Ja
    • Journal of the Korean School Mathematics Society
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    • v.9 no.4
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    • pp.521-538
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    • 2006
  • The purpose of this study is to examine the effect of teaching mathematical proofs that made use of the 'proof assisted cards' at the second year of middle school and to investigate students' ability to geometric proofs as well as changes of mathematical attitudes toward geometric proofs. The subjects are seven students at the 2nd year of D Middle School in Daegu who made use of the 'proof assisted cards' during five class periods. The researcher interviewed the students to investigate learning questions made by students as well as the 'proof assisted cards' before and after use. The findings are as follows: first, the students made change of geometric proof ability by proof activity with the 'proof assisted cards' and second, the students made significant change of mathematical attitudes toward geometric proofs by proof activity using the cards.

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A Study on the Abstraction of the Human Body in Contemporary Dance Costumes - Focusing on Oscar Schlemer's Costume Theory - (현대 무용의상에 나타난 인체의 추상화에 관한 연구 - 오스카 슐레머의 의상이론을 중심으로 -)

  • Han, Kyeng-Ha;Geum, Key-Sook
    • Journal of the Korean Society of Costume
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    • v.60 no.10
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    • pp.133-145
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    • 2010
  • The study used four basic formats classified based on the four principles on costumes discussed in the paper 'Human Beings and Arts Phenomena' by Oskar Schlemmer who studied the relationships between stage space and the human body as an analysis tool with regard to analyses on the abstraction of human body in contemporary dance costume. Abstraction of human body expressed in costume for contemporary dance is as follows: Expansions caused by unclear boundary between spaces and costumes, and the principles of three-dimensional abstract spaces based on a geometric cube change heads, trunks, arms and legs to achieve expansions. Similar mechanical shape is a type of shape made in a succession of functional principles of human body in relationships with spaces. As mechanical mechanism is added to the geometric transformation of a specific part of human body, mechanicalness is contained in it. Motion organisms are geometric simplification of moving traces in a space based on conversion into mechanical organisms based on principles of motion, and as mechanical rotation, consecutive speed caused by refraction and directionality are suggested, mobility is achieved. Immaterial shape is based on change into a metaphysical form, and it is converted into animals, plants or a third life that symbolize body parts. It has metaphysical significance in each body part and extends sensibility. As a result of the study, development into abstract succession and a techno art mode has been confirmed. Combination of geometric cubic figures with the organic human body and configuration of the human body pursued by Oskar Schlemmer's geometric abstraction through the proactive accommodation of mechanical aesthetics has been succeeded and expressed in the contemporary dance costumes.

Transcendental Abstraction in Non-geometric Contemporary Architecture - focused on Deleuze's Thinking - (비기하학적 현대건축의 초월론적 추상 - 들뢰즈의 사유를 중심으로 -)

  • Cho, Yong-Soo
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.35 no.5
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    • pp.107-116
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    • 2019
  • Non-geometric shapes in contemporary architecture was explained from the transcendental schema of Deleuze with his abstraction theory. In this explanation, the intensity, the movement and change and the sublime were suggested as the expressional elements of the transcendental abstraction related with the artistic sensation of architecture. First, the intensity as a power of sensation which acts to the body before the recognition of brain is mainly expressed with the movement of curved lines of architectural space. Second, the movement of change is expressed as the de-centralized and de-formalized nomadic curve as the line in architectural 'smooth space' which has unrestrained orientations. Third, the sublime is expressed in the hugeness, enormousness or sometimes uncanny in void space, which could be contradictively mixed with senses of displeasure and pleasure. The sublime feelings in architecture can be emerging by rationally overcoming the unpleasant senses of contradictive spaces in architecture or urban fabric. This study has explained those expressional elements with the architectural works of Steven Holl, Frank Gehry and Zaha Hadid.

Research of z-axis geometric dose efficiency in multi-detector computed tomography (MDCT 장치의 z-축 기하학적 선량효율에 관한 연구)

  • Kim, You-Hyun;Kim, Moon-Chan
    • Journal of radiological science and technology
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    • v.29 no.3
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    • pp.167-175
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    • 2006
  • With the recent prevalence of helical CT and multi-slice CT, which deliver higher radiation dose than conventional CT due to overbeaming effect in X-ray exposure and interpolation technique in image reconstruction. Although multi-detector and helical CT scanner provide a variety of opportunities for patient dose reduction, the potential risk for high radiation levels in CT examination can't be overemphasized in spite of acquiring more diagnostic information. So much more concerns is necessary about dose characteristics of CT scanner, especially dose efficient design as well as dose modulation software, because dose efficiency built into the scanner's design is probably the most important aspect of successful low dose clinical performance. This study was conducted to evaluate z-axis geometric dose efficiency in single detector CT and each level multi-detector CT, as well as to compare z-axis dose efficiency with change of technical scan parameters such as focal spot size of tube, beam collimation, detector combination, scan mode, pitch size, slice width and interval. The results obtained were as follows ; 1. SDCT was most highest and 4 MDCT was most lowest in z-axis geometric dose efficiency among SDCT, 4, 8, 16, 64 slice MDCT made by GE manufacture. 2. Small focal spot was 0.67-13.62% higher than large focal spot in z-axis geometric dose efficiency at MDCT. 3. Large beam collimation was 3.13-51.52% higher than small beam collimation in z-axis geometric dose efficiency at MDCT. 4. Z-axis geometric dose efficiency was same at 4 slice MDCT in all condition and 8 slice MDCT of large beam collimation with change of detector combination, but was changed irregularly at 8 slice MDCT of small beam collimation and 16 slice MDCT in all condition with change of detector combination. 5. There was no significant difference for z-axis geometric dose efficiency between conventional scan and helical scan, and with change of pitch factor, as well as change of slice width or interval for image reconstruction. As a conclusion, for reduction of patient radiation dose delivered from CT examination we are particularly concerned with dose efficiency of equipment and have to select proper scanning parameters which increase z-axis geometric dose efficiency within the range of preserving optimum clinical information in MDCT examination.

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Feature Detection using Geometric Mean of Eigenvalues of Gradient Matrix (그레디언트 행렬 고유치의 기하 평균을 이용한 특징점 검출)

  • Ye, Chul-Soo
    • Korean Journal of Remote Sensing
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    • v.30 no.6
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    • pp.769-776
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    • 2014
  • It is necessary to detect the feature points existing simultaneously in both images and then find the corresponding relationship between the detected feature points. We propose a new feature detector based on geometric mean of two eigenvalues of gradient matrix which is able to measure the change of pixel intensities. The corner response of the proposed detector is proportional to the geometric mean and also the difference of two eigenvalues in the case of same geometric mean. We analyzed the localization error of the feature detection using aerial image and artificial image with various types of corners. The localization error of the proposed detector was smaller than that of the typical corner detector, Harris detector.

Feedback scope for fault detection and localization

  • Hunsang Jung;Park, Youngjin
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.32.6-32
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    • 2002
  • The damage localization of the structural system using the natural frequency measurement only is proposed. The existing methods use the changes of mode shape, strain mode shape or curvature mode shape before and after the damage occurrence as these shapes carry the geometric information of the structure. Basically, the change of natural frequencies of the structure can be used as the indicator of the damage occurrence but not as the indicator of the damage location as the natural frequency changes does not carry the geometric information of the structure. In this research, the feedback scope method that measures the natural frequency changes of the structure with and without the feedback Ioo...

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Combustion Characteristics in a Constant Volume Combustion Chamber with Sub-Chamber (II) Effect of Combustion Promotion with Configuration Change of the Critical Passagehole (부실식 정적연소실내 연소특성에 관한 연구 (II) 임계연락공의 형상변화에 따른 연소촉진효과)

  • 김봉석;권철홍;류정인
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.10
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    • pp.2611-2623
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    • 1993
  • To construct the design back data for a lean-burn gas engine, we investigated the combustion characteristics in the main chamber using a constant volume combustion chamber with subchamber. The combustion characteristics with configuration change of the critical passageholes have been studied by taking pressure data, schlieren photograph, ion current and light emission signal of flame. Heat release rate with various critical passageholes also have been analysed by using the combustion model of a prechamber diesel engine. It was found that combustion characteristics in the main combustion chamber were greatly influenced by the geometric configurations of critical passagehole.

Planar Error Sensitivity Analysis in a CNC Turning Cen (2차원 CNC 선반에서 평면오차 민감도 분석)

  • 여규환;이진현;양승한
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.1017-1021
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    • 1995
  • Geometric and thermal errors are responsible for major components of the errors of a computer numerically controlled turning center. The planar error of a CNC turning center are comprised of 11 geometric and thermal error components. The error synthesis model is formulated by homogeneous coordinate transformation method and expresses the effect of such error components on the planar error of a CNC turning center. In this paper, the sensitivity analysis of the model on the noises through sensing and the change of temperature is addressed. The sensitivity analysis show that the error systhesis model is robust on the noses and z planar error is much affected by the change of temperatures.

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An Investigation of the Visual-Mental Capability of Pre- and In-Service Mathematics Teachers: A Tale of Two Cones and One Cube

  • Barkai, Ruthi;Patkin, Dorit
    • Research in Mathematical Education
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    • v.18 no.1
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    • pp.41-54
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    • 2014
  • This study investigated the visual-mental capability of pre-service and in-service mathematics teachers as well as academicians making a career change to mathematics teachers with regard to manipulations of two geometric shapes (from 2- to 3-dimensional). Moreover, it investigated whether there are differences between the visual-mental capability of these participant groups. Findings illustrate that most of the participants demonstrate an adequate visual capability relating to the task dealing with a cube. Conversely, very low percentage of participants manifested a visual-mental capability in a task requiring the identification of a solid resulting from rotation of a square page, whose diagonal serves as the rotation axis. The study indicates that learners' high visual view should be developed in order to enhance their visual-mental capability.

Sensitivity Analysis and Confidence Evaluation for Planar Errors of a Vertical Turning Center (수직형 선반의 평면 오차 민감도 분석 및 신뢰도 평가)

  • 여규환;양승환
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.11
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    • pp.67-75
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    • 1998
  • Geometric and thermal errors are key contributors to the errors of a computer numerically controlled turning center. A planar error synthesis model is obtained by synthesizing 11 geometric and thermal error components of a turning center with homogeneous coordinate transformation method. This paper shows the sensitivity analysis on the temperature change, the confidence evaluation on the uncertainty Of measurement systems, and the error contribution analysis from the planar error synthesis model. Planar error in the z direction was very sensitive to the temperature change. and planar errors in the x and z directions were not affected by the uncertainty of measurement systems. The error contribution analysis ,which is applicable to designing a new turning center, was helpful to find the large error components which affect planar errors of the turning center.

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