• Title/Summary/Keyword: Area of geometry

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A Comparative study on Elementary School Mathematics Textbooks in Korea(7th Curriculums) and America(Harcourt Math) -focused on the Area of Geometry- (한국과 미국의 초등수학 교과서(Harcourt Math) 비교 연구 -도형영역을 중심으로-)

  • Choi Keunbae;Kim Hae-Gyu
    • The Mathematical Education
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    • v.44 no.2 s.109
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    • pp.179-200
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    • 2005
  • In this article, we compared and analyzed the Korean 7th National Mathematics textbooks and Harcourt Math textbooks in America focused on the area of geometry for the elementary school students. We expect that this article would contribute to the elementary school teacher for the reorganization of the elementary school mathematics curriculums.

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Development of Formative Assessment Program in Geometry Area for the 1st Graders of Middle School (중학교 1학년 기하 영역 형성평가 프로그램 개발 및 효과 분석)

  • Ryu, Hyun-Ah;Lee, Bong-Ju;Yang, Myoung-Hee;Choe, Seung-Hyun;Byun, Hee-Hyun
    • Journal of the Korean School Mathematics Society
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    • v.15 no.1
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    • pp.137-154
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    • 2012
  • The purposes of this study are to develop the formative assessment program in geometry area for a 1st-grade class of middle school and to test the effect of this program. This formative assessment program was based on mathematics curriculum for the 1st graders of middle school. In addition, we examined how the 1st graders of middle school understand the geometric concepts by analyzing their response in the pretest and the posttest. This formative assessment program and the results of its analysis would be the useful information for the effective teaching and learning in geometry area for the 1st grades of middle school.

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The Design of Geometry Processor for 3D Graphics (3차원 그래픽을 위한 Geometry 프로세서의 설계)

  • Jeong, Cheol-Ho;Park, Woo-Chan;Kim, Shin-Dug;Han, Tack-Don
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.1
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    • pp.252-265
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    • 2000
  • In this thesis, the analysis of data processing method and the amount of computation in the whole geometry processing is conducted step by step. Floating-point ALU design is based on the characteristics of geometry processing operation. The performance of the devised ALU fitting with the geometry processing operation is analyzed by simulation after the description of the proposed ALU and geometry processor. The ALU designed in the paper can perform three types of floating-point operation simultaneously-addition/subtraction, multiplication, division. As a result, the 23.5% of improvement is achieved by that floating-point ALU for the whole geometry processing and in the floating-point division and square root operation, there is another 23% of performance gain with adding area-performance efficient SRT divisor.

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Application of Surface Area Calculating System for Design of Blank Shape of Deep Drawing Product (디프 드로잉 제품의 블랭크 설계를 위한 표면적 계산 시스템의 적용)

  • 박동환;최병근;박상봉;강성수
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.4
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    • pp.97-105
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    • 2000
  • One of the most important steps to determine the blank shape and dimensions in deep drawing process is to calculate the surface area of the product. In general, the surface area of axisymmetric products is calculated by mathematical or graphical methods. However, in the case of non-axisymmetric products, it is difficult to calculate the exact surface area due to errors as separated components. Fortunately, it is possible for elliptical products to recognize the geometry of the product in the long side and short side by drafting in another two layers on AutoCAD software. So, in this study, a surface area calculating system is constructed for a design of blank shape of deep drawing products. This system consists of input geometry recognition module and three dimensional modeling module, respectively. The suitability of this system is verified by applying to a real deep drawing product. The system constructed in this study would be very useful to reduce lead time and cost for determining the blank shape and dimensions.

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A study on development of the system for prediction of bead geometry using Rapid Prototyping (RP를 이용한 용접비드 형상예측 시스템 개발에 관한 연구)

  • ;;Prasad K.D.V. Yarlagadda
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.637-642
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    • 2002
  • Generally, the use of robots in manufacturing industry has been increased during the past decade. GMA(Gas Metal Are) welding is an actively growing area and many new procedures have been developed for use with high strength alloys. One of the basic requirement for welding applications is to study relationships between process parameters and bead geometry. The objective of this paper is to develop a new approach involving the use of neural network and multiple regression methods in the prediction of bead geometry for GMA welding process and to develop an intelligent system that enables the prediction of bead geometry using Rapid Prototyping(RP) in order to employ the robotic GMA welding processes. This system developed using MATLAB/SIMULINK, could be effectively implemented not only for estimating bead geometry, but also employed to monitor and control the bead geometry in real time.

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A Development of the Inference Algorithm for Bead Geometry in the GMA Welding Using Neuro-fuzzy Algorithm (Neuro-Fuzzy 기법을 이용한 GMA 용접의 비드 형상에 대한 기하학적 추론 알고리듬 개발)

  • Kim, Myun-Hee;Bae, Joon-Young;Lee, Sang-Ryong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.2
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    • pp.310-316
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    • 2003
  • One of the significant subject in the automatic arc welding is to establish control system of the welding parameters for controlling bead geometry as a criterion to evaluate the quality of arc welding. This paper proposes an inference algorithm for bead geometry in CMA Welding using Neuro-Fuzzy algorithm. The characteristic welding parameters are measured by the circuit composed of hall sensor, voltage divider tachometer, etc. and then the bead geometry of each weld pool is calculated and detected by an image processing with CCD camera and a measuring with microscope. The relationships between the characteristic welding parameters and the bead geometry have been arranged empirically. From the result of experiments, membership functions and fuzzy rules are tuned and determined by the learning of neural network, and then the relationship between actual bead geometry and inferred bead geometry are concluded by fuzzy logic controller. In the applied inference system of bead geometry using Neuro-Fuzzy algorithm, the inference error percent is within -5%∼+4% in case of bead width, -10%∼+10% in bead height, -5%∼+6% in bead area, -10%∼+10% in penetration. Use of the Neuro-Fuzzy algorithm allows the CMA Welding system to evaluate the quality in bead geometry in real time as the welding parameters change.

The Effect of EGR Pipe Configuration on EGR Characteristics of Diesel Engine with Variable Geometry Turbocharger (EGR관 형상이 가변형상 과급기를 장착한 디젤엔진의 EGR 특성에 미치는 영향)

  • Jeong, Soo-Jin;Chung, Jae-Woo;Kang, Jeong-Ho;Kang, Woo
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.2
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    • pp.65-73
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    • 2007
  • The use of an Exhaust Gas Recirculation(EGR) for a diesel engine with variable geometry turbocharger(VGT) has confronted how to obtain the amount of EGR for NOx reduction requirement at wide operating range and less side effect. Through a combined effort of modeling(wave action simulation) and experiment, an investigation into the effect of EGR area ratio and pipe length on EGR characteristics of common rail diesel engine with VGT has been performed. For accurate computation, calibration of constants involved in empirical and semi-empirical correlations has been performed at a specific operating point, before of its use for engine simulation. From the results of this study, it was found that EGR rate is sharply increased with increasing EGR area ratio until area ratio of 0.3. However, the effect of EGR area ratio on EGR rate is negligible beyond this criteria. This study also investigates the effect of EGR pipe length on a EGR amount and pulsating flow characteristics at EGR junction. The results showed that the longer EGR pipe length, the lower EGR amount was achieved due to the flow loss resulting in lower amplitude of pressure wave.

Geographic information 3D Synthetic Model based on Regular Mesh (Regular Mesh 기반 지리정보 3D 합성모델)

  • Jung, Ji-Hwan;Hwang, Sun-Myung;Kim, Sung-Ho
    • Journal of Advanced Navigation Technology
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    • v.15 no.4
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    • pp.616-625
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    • 2011
  • There are two representative geometry rendering methods. One is Geometry Clipmaps, another is ROAM 2.0. We propose an extended Geometry Clipmaps algorithm which does not focus on CPU operation but the GPU for faster and wider visibility area. The extended algorithm presents mesh configuration method of each level by LOD, how to configurate Mesh network between levels, mesh block method for rendering optimization using VFC, and image mapping method to get high resolution up to 1 m.

A Numerical Study on the Effect of Volute Geometry on the Performance of Centrifugal Pump (볼류트 형상이 원심 펌프의 성능에 미치는 영향에 대한 수치 해석적 연구)

  • Kim, Deok-Su;Jeon, Sang-Gyu;Yoon, Joon-Yong;Choi, Young-Seok
    • The KSFM Journal of Fluid Machinery
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    • v.9 no.2 s.35
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    • pp.44-49
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    • 2006
  • In this study, the effects of volute area distribution on the performance of a centrifugal pump were numerically studied using a commercial CFD code. To reduce the shutoff head, maintaining head and efficiency at a design flow rate, the flat head-capacity characteristic curves in which the head varies only slightly with capacity from shutoff to design capacity are frequently required. In order to control the shutoff head of a pump, several volute cross-sectional area distributions were proposed as a main parameter with the same impeller geometry The calculation results show that the slope of the performance characteristic curve of the centrifugal pump can be controlled by modifying the area distribution from volute tongue to volute outlet with fixed volute outlet area and also varied volute outlet area.

A Numerical Study on the effect of Volute Geometry on the Performance of Centrifugal Pump (볼류트 형상이 원심 펌프의 성능에 미치는 영향에 대한 수치 해석적 연구)

  • Kim, Deok-Su;Choi, Young-Seok;Jeon, Sang-Gyu;Yoon, Joon-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2005.12a
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    • pp.497-502
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    • 2005
  • In this study. the effect of volute area distribution on the performance of a centrifugal pump were numerically studied using a commercial CFD code. To reduce the shutoff head, maintaining head and efficiency at a design flow rate. the flat head-capacity characteristic curves in which the head varies only slightly with capacity from shutoff to design capacity are frequently required. In order to control the shutoff head of a pump, several volute cross-sectional area distributions were proposed as a main parameter with the same impeller geometry. The calculation results show that the slope of the performance characteristic curve of the centrifugal pump can be controlled by modifying the area distribution from volute tongue to volute outlet with fixed volute outlet area and also varied volute outlet area.

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