• 제목/요약/키워드: Real Length Representation

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초등 수학 교과서와 실생활에서 나타나는 길이와 시간에 대한 표현 비교 분석 (Elementary Math Textbooks and Real Life Comparative Analysis of Representations for Length and Time)

  • 강윤지
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제25권3호
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    • pp.233-249
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    • 2022
  • 측정은 학교 수학과 실생활 양측에서 중요하게 역할한다. 측정에서 다루는 여러 속성 중 길이는 가장 먼저 학습하는 것으로 측정의 기초가 되며 시간은 고유의 방법으로 측정하는 가장 추상적인 속성이라는 특징을 가지고 있다. 본 연구는 초등 수학 교과서와 실생활에서 나타나는 표현을 분석하여 학교 수학에서 학습하는 길이와 시간이 실생활에서 표현되는 것과 어떠한 차이가 있는지 살펴보고 앞으로의 교수 학습 과정에 대한 시사점을 도출하고자 하였다. 분석 결과, 길이에 대한 개념은 실생활과 학교 수학에서 같은 의미로 사용되고 있으나 거리, 깊이, 높이 등의 용어가 정의되지 않은 채 혼용되고 있었으며 어림값의 표현이 단편적인 형태로 제시되었다. 또한, 시간을 측정하기 위하여 복잡한 체계를 이해해야 하고 시각과 시간을 표현할 때 '분, 초' 등의 단위가 동일하게 사용되는 등 학생들이 혼란을 느끼기 쉬운 부분이 존재하였다. 따라서 길이와 시간에 대한 표현의 차이를 인식하고 지도하여 학생들이 학교 수학과 실생활을 연결하고 측정 개념에 대하여 폭넓게 이해할 수 있도록 초등 수학 교과서 및 교수 학습 과정의 구성 방향을 고민할 필요가 있다.

Control the length of beam trajectory with a quadruple triplet for heavy ion accelerator

  • Wei, Shaoqing;Zhang, Zhan;Lee, Sangjin;Kim, Do Gyun;Kim, Jang Youl
    • 한국초전도ㆍ저온공학회논문지
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    • 제18권4호
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    • pp.40-43
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    • 2016
  • Beam trajectory is needed to be controlled in heavy ion accelerator system. Quadruple magnets are widely used in heavy ion accelerator for focusing the transporting particles. A quadruple triplet system which consists of three consecutive quadrupoles, Q1, Q2 and Q3, is used to control beam trajectory at a focused position. Q1 and Q3 have symmetry with respect to Q2. The beam trajectory in magnet system is affected by higher order fields existed in real fields. For quadrupoles, the representation simulation of beam trajectory was carried out to study the beam trajectory and to estimate an effect of higher order field in triplet system. SCALA program was used to simulate the beam trajectory in $Opera^{TM}$. SCALA can analyze a large number of beam trajectories at the same time by adjusting the size of finite element of the emitter. With $Opera^{TM}$ and $Matlab^{TM}$ programs, the position of focused beam spot in quadruple triplet system can be increased or decreased using evolution strategy (ES) method, therefore the length of triplet system can be controlled. Finally, the quadruple triplet system with the appropriate length and expected beam spot range was suggested in this paper.

Two-Phase Genetic Algorithm for Solving the Paired Single Row Facility Layout Problem

  • Parwananta, Hutama;Maghfiroh, Meilinda F.N.;Yu, Vincent F.
    • Industrial Engineering and Management Systems
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    • 제12권3호
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    • pp.181-189
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    • 2013
  • This paper proposes a two-phase genetic algorithm (GA) to solve the problem of obtaining an optimum configuration of a paired single row assembly line. We pair two single-row assembly lines due to the shared usage of several workstations, thus obtaining an optimum configuration by considering the material flow of the two rows simultaneously. The problem deals with assigning workstations to a sequence and selecting the best arrangement by looking at the length and width for each workstation. This can be considered as an enhancement of the single row facility layout problem (SRFLP), or the so-called paired SRFLP (PSRFLP). The objective of this PSRFLP is to find an optimal configuration that seeks to minimize the distance traveled by the material handler and even the use of the material handler itself if this is possible. Real-world applications of such a problem can be found for apparel, shoe, and other manual assembly lines. This research produces the schematic representation solution using the heuristic approach. The crossover and mutation will be utilized using the schematic representation solution to obtain the neighborhood solutions. The first phase of the GA result is recorded to get the best pair. Based on these best matched pairs, the second-phase GA can commence.

Linear Interpolation Transition of Character Animation for Immediate 3D Response to User Motion

  • Lim, Sooyeon
    • International Journal of Contents
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    • 제11권1호
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    • pp.15-20
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    • 2015
  • The purpose of this research is to study methods for performing transition that have visual representation of corresponding animations with no bounce in subsequently recognized user information when attempting to interact with a virtual 3D character in real-time using user motion. If the transitions of the animation are needed owing to a variety of external environments, continuous recognition of user information is required to correspond to the motion. The proposed method includes linear interpolation of the transition using cross-fades and blending techniques. The normalized playing time of the source animation was utilized for automatically calculating the transition interpolation length of the target animation and also as the criteria in selecting the crossfades and blending techniques. In particular, in the case of blending, the weighting value based on the degree of similarity between two animations is used as a blending parameter. Accordingly, transitions for visually excellent animation are performed on interactive holographic projection systems.

A New Analytical Representation to Robot Path Generation with Collision Avoidance through the Use of the Collision Map

  • Park Seung-Hwan;Lee Beom-Hee
    • International Journal of Control, Automation, and Systems
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    • 제4권1호
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    • pp.77-86
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    • 2006
  • A new method in robot path generation is presented using an analysis of the characteristics of multi-robot collision avoidance. The research is based on the concept of the collision map, where the collision between two robots is presented by a collision region and a crossing curve TLVSTC (traveled length versus servo time curve). Analytic collision avoidance is considered by translating the collision region in the collision map. The 4 different translations of collision regions correspond to the 4 parallel movements of the actual original robot path in the real world. This analysis is applied to path modifications where the analysis of collision characteristics is crucial and the resultant path for collision avoidance is generated. Also, the correlations between the translations of the collision region and robot paths are clarified by analyzing the collision/non-collision areas. The influence of the changes of robot velocity is investigated analytically in view of collision avoidance as an example.

Interactions in transversely isotropic new modified couple stress solid due to Hall current, rotation, inclined load with energy dissipation

  • Parveen Lata;Harpreet Kaur
    • Coupled systems mechanics
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    • 제13권1호
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    • pp.21-41
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    • 2024
  • This paper is concerned with the disturbances in a transversely isotropic new modified couple stress homogeneous thermoelastic rotating medium under the combined influence of Hall currents, magnetic fields, and mechanical sources represented by inclined loads. The application of Laplace and Fourier transform techniques are used for the derivation of analytical expressions for various physical quantities. As an application,the bounding surface is subjected to uniformly and linearly distributed force (mechanical force). Present model contains length scale parameters that can capture the size effects. Numerical inversion techniques has been used to provide insights into the system's behavior in the physical domain. The graphical representation of numerical simulated results has been presented to emphasize the impact of rotation and inclined line loads on the system, enhancing our understanding of the studied phenomena. Further research can extend this study to investigate additional complexities and real-world applications.

Building Light Weight CORBA Based Middleware for the CAN Bus Systems

  • Hong, Seongsoo
    • Transactions on Control, Automation and Systems Engineering
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    • 제3권3호
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    • pp.181-189
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    • 2001
  • The software components of embedded control systems get extremely complex as they are designed into distributed systems get extremely complex as they are designed into distributed systems consisting of a large number of inexpensive microcontrollers interconnected by low-bandwidth real-time networks such as the controller area network (CAN). While recently emerging middleware technologies such as CORBA and DCOM address the complexity of distributed programming, they cannot be directly applied to distributed control system design due to their excessive resource demand and inadequate communication models. In this paper, we propose a CORBA-based middleware design for CAN-based distributed embedded control systems. Our design goal is to minimize its resource need and make it support group communication without losing the IDL (interface definition language) level compliance to the OMG standards. To achieve this, we develop a transport protocol on the CAN and a group communication scheme based on the well-known publisher/subscriber model. The protocol effectively realizes subject-based addressing and supports anonymous publisher/subscriber communication. We also customize the method invocation and message passing protocol, referred to as the general inter-ORB protocol (GIOP), of CORBA so that CORBA method invocations are efficiently serviced on a low-bandwidth network such as the CAN. This customization includes packed data encoding and variable-length integer encoding for compact representation of IDL data types. We have implemented our CORBA-based middleware on the mArx real-time operating system we have developed at Seoul National University. Our experiments clearly demonstrate that it is feasible to use CORBA in developing distributed embedded control systems possessing severe resource limitations. Our design clearly demonstrates that it is feasible to use a CORBA-based middleware in developing distributed embedded systems on real-time networks possessing severe resource limitations.

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웹3D에서의 물리적 측정 단위 컴포넌트 명세 (Component Specification of Physical Measurement Units in Web3D)

  • 김수현;이명원
    • 한국정보과학회논문지:컴퓨팅의 실제 및 레터
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    • 제15권6호
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    • pp.454-458
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    • 2009
  • 가상 환경 표현의 기술은 실물의 정확한 표현보다는 화면 안에 잘 보일 수 있는 형태로 묘사되어 왔다. 컴퓨터 그래픽스 기술의 발전으로 다양한 분야에서 컴퓨터그래픽스 물체 표현의 활용이 증대함에 따라서 단지 가시화의 기능 뿐 아니라 정확한 측정 정보를 요구하는 응용이 늘고 있다. 본 논문에서는 가상세계에서 정확한 측정 정보를 제공할 수 있도록 물리적 단위 체계를 적용할 수 있는 방법을 제안한다. 본 논문에서의 물리적 단위 속성의 명세는 웹에서의 3D 구현 기술인 X3D를 기반으로 정의하였다. 물리적 속성 중에서 X3D 장면 내에서 물리적 길이 속성을 정의하는 노드의 구성에 대하여 기술하고, 길이 외의 질량, 시간, 온도 등과 같은 다양한 물리적 속성의 단위를 국제 단위체계인 SI 단위계 (International System of Units)를 기반으로 각 객체에 정의할 수 있는 방법에 대하여 기술한다.