• Title/Summary/Keyword: 등분

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Analytical Investigation on Elastic Behaviors of Isotropic Annular Sector Plates Subjected to Uniform Loading (등분포하중을 받는 등방성 환형 섹터판의 탄성 거동에 대한 해석적 연구)

  • Kim, Kyung-Sik
    • Journal of Korean Society of Steel Construction
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    • v.22 no.3
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    • pp.241-251
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    • 2010
  • This paper presents the development of a new analytical solution to the governing differential equation for isotropic annular sector plates subjected to uniform loading in a three-dimensional polar coordinate system. The 4th order governing partial differential equation (PDE) was converted to an ordinary differential equation (ODE) by assuming the Levy-type series solution form and the subsequent mathematical operations. Finally, a series-type solution was assembled with homogeneous and nonhomogeneous solution parts after operating real values and complex conjugates derived from the characteristic equation. To demonstrate the convergence rate and the accuracy of the featured method, several examples with various sector angles were selected and solved. The deflections and internal moments in the example annular sector plates that were obtained from the proposed solution were compared with those obtained from other analytical studies and numerical analyses using the finite element analysis package program, ABAQUS. Very good agreement with the results of other analytical and numerical methodologies was shown.

Teaching Multiplication & Division of Fractions through Contextualization (맥락화를 통한 분수의 곱셈과 나눗셈 지도)

  • Kim, Myung-Woon;Chang, Kyung-Yoon
    • School Mathematics
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    • v.11 no.4
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    • pp.685-706
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    • 2009
  • This dissertation is aimed to investigate the reason why a contextualization is needed to help the meaningful teaching-learning concerning multiplications and divisions of fractions, the way to make the contextualization possible, and the methods which enable us to use it effectively. For this reason, this study intends to examine the differences of situations multiplying or dividing of fractions comparing to that of natural numbers, to recognize the changes in units by contextualization of multiplication of fractions, the context is set which helps to understand the role of operator that is a multiplier. As for the contextualization of division of fractions, the measurement division would have the left quantity if the quotient is discrete quantity, while the quotient of the measurement division should be presented as fractions if it is continuous quantity. The context of partitive division is connected with partitive division of natural number and 3 effective learning steps of formalization from division of natural number to division of fraction are presented. This research is expected to help teachers and students to acquire meaningful algorithm in the process of teaching and learning.

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Analysis of Laminated Composite Skew Plates with Uniform Distributed Load by Finite Difference Method (유한차분법에 의한 등분포 상재하중하 적층 복합재 경사판 해석)

  • Park, Weon Tae;Choi, Jae Jin;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.291-302
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    • 2000
  • In recent years the development of high modulus, high strength and low density boron and graphite fibers bonded together has brought renewed interestes in structural elements. When a plate with arbitrarily oriented layers and clamped boundary conditions is subjected to uniform loading, it is difficult to analyze and apply, compared with isotropic and orthotropic cases. Therefore the numerical methods, such as finite difference method or finite element method, should be emloyed to analyse such problems. In this study the finite difference technique is used to formulate the bending analysis of symmetric composite laminated skew plates. When this technique is used to solve the problem, it is desirable to reduce the order of the derivatives in order to minimize the number of the pivotal points involved in each equation. The 4th order partial differential equations of laminated skew plates are converted to an equivalent three of 2nd order partial differential equations with three dependant variables.

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Technical endeavor to minimize astronomical instruments in the Joseon dynasty

  • Mihn, Byeong-Hee;Lee, Ki-Won;Ahn, Young Sook;Lee, Yong Sam
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.87-87
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    • 2014
  • 조선 전기 세종(世宗, 1418-1450)에 의해 천체관측기기와 천문역법을 개발하는 사업이 있었다. 이 때 조선의 천문대인 간의대가 건설되었고, 더불어 소간의, 일성정시의, 현주일구, 천평일구, 정남일구, 앙부일구 등 다수의 소형화된 천문의기가 개발되었다. 이보다 앞서 중국 원(元)왕조의 최신 관측기기였던 간의, 규표, 혼천의, 혼상 등을 제작하였는데, 이 과정에서 습득한 기술적 경험을 바탕으로 소형화된 천문의기 새롭게 발전시킨 것으로 보인다. 당시 천문의기를 구성하는 것에는 천구의 도수를 눈금으로 새긴 원형의 환(環)이나 구형의 혼(渾)이 있었다. 조선에서는 시헌력을 도입하기 전까지 천구의 도수(주천도수)를 365.25 등분하였고, 하루 12시진을 백각으로 나누었으며, 이를 각각 주천도분환과 백각환에 눈금을 새기었다. 당시에는 환의 둘레에 주천도수와 백각을 새기는 기술적인 어려움이 있었다. 이러한 제작 상의 문제를 해결하는 방법으로, 본 연구에서는 도수나 시각의 각거리를 일정한 길이의 단위로 설정하여 원주를 등분하였을 것으로 가정하였다. 즉 조선의 소형화된 천문의기는 주천도의 1도나 백각의 1각을 일정한 길이의 단위인 푼이나 치의 정수배로 하여 환의 둘레에 주천도수와 백각의 눈금을 새겼을 것으로 추정하였다. 만일 주천도의 1도 각거리를 1푼으로, 백각의 1각 각거리를 1푼으로 하는 표준 변환을 적용하면, 각각 환의 지름이 1.16치, 0.32치가 된다. 이러한 방법이 현존하는 일성정시의나 소간의의 세 종류의 환과 현주일구의 백각환의 특성과 잘 일치함을 보이고 있다. 이 연구의 결과는 향후 소형화된 천문의기의 구조적인 재원을 연구할 때나 출처가 불분명한 의기의 크기를 이해하는데 주요한 역할을 할 수 있을 것으로 기대한다.

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Scleral Diagnostic System Implementation with Color and Blood Vessel Sign Pattern Code Generations (컬러와 혈관징후패턴 코드 생성에 의한 공막진단시스템 구현)

  • Ryu, Kwang Ryol
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.12
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    • pp.3029-3034
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    • 2014
  • The paper describes the scleral diagnostic system implementation for human eyes by using the scleral color code and vessels sign pattern code generations. The system is based on the high performance DSP image signal processor, programmable gain control for preprocessing and RISC SD frames storage. RGB image signals are optimized by PGC, the edge image is detected form the gray image converted. The processing algorithms are executed by scleral color code generation and scleral vessels sign pattern code creation for discriminating and matching. The scleral symptomatic color code is generated by YCbCr values at memory map tolerated and the vessel sign pattern code is created by digitizing the 24 clock and 13 ring zones, overlay matching and tolerances. The experimental results for performance are that the system runs 40ms, and the color and pattern for diagnostic errors are around 20% and 24% on average. The system and technique enable a scleral diagnosis with subdividing the patterns and patient database.

An Analysis on the Contents of Fraction in CA-CCSSM and its Textbook (미국 캘리포니아 주의 CA-CCSSM과 그에 따른 교과서에 제시된 분수 개념에 관한 내용 분석)

  • Lee, Dae Hyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.4
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    • pp.547-574
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    • 2017
  • The purpose of analysis of foreign curriculums and textbooks is to aimed to get the implications for the revision of curriculum, publishment of textbooks and teaching mathematics. In this study, Common Core State Standards and its textbooks was analyzed. The U. S. doesn't have the national mathematics curriculum. So, it can be happen some problems: students' lower mathematical achievement, assessment policy, decision of teaching contents, etc. In 2010, Common Core State Standards was developed by states. Furthermore, The California Department of Education reshaped standards: CA-CCSSM. This study analyzed the contents of fraction in CA-CCSSM and its textbooks. Fraction has many concepts and methods and models in teaching process. This study analyzed the equal parts, introducing fraction concept, the types of fraction, equivalent fractions, comparison of fractions. The conclusions are as follows; The equal parts are the important concept of fraction and introduced in geometry area before teaching of fraction. CA-CCSSM aims to understand a fraction as a number on the number line and represent fractions on a number line diagram. There are some similarity and difference in mixed number, fractions as a division and ratio, equivalent fractions and comparison of fractions between Korean curriculum and textbooks and CA-CCSSM.

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The Informal Knowledge of Elementary School Students about the Concepts of Fraction (분수 개념에 관한 초등학생의 비형식적 지식)

  • Hong, Eun-Suk;Kang, Wan
    • Journal of Elementary Mathematics Education in Korea
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    • v.12 no.1
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    • pp.59-78
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    • 2008
  • The purpose of this study was to research and analyze students' informal knowledge before they learned formal knowledge about fraction concepts and to see how to apply this informal knowledge to teach fraction concepts. According to this purpose, research questions were follows. 1) What is the students' informal knowledge about dividing into equal parts, the equivalent fraction, and comparing size of fractions among important and primary concepts of fraction? 2) What are the contents to can lead bad concepts among students' informal knowledge? 3) How will students' informal knowledge be used when teachers give lessons in fraction concepts? To perform this study, I asked interview questions that constructed a form of drawing expression, a form of story telling, and a form of activity with figure. The interview questions included questions related to dividing into equal parts, the equivalent fraction, and comparing size of fractions. The conclusions are as follows: First, when students before they learned formal knowledge about fraction concepts solve the problem, they use the informal knowledge. And a form of informal knowledge is vary various. Second, among students' informal knowledge related to important and primary concepts of fraction, there are contents to lead bad concepts. Third, it is necessary to use students' various informal knowledge to instruct fraction concepts so that students can understand clearly about fraction concepts.

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Distribution of Root System and Several Chemical Components of Soil on Low-Cutting Mulberry Field (낮추베기 뽕나무 뿌리와 몇몇 토양화학성 분포에 관한 조사연구)

  • 이원주
    • Journal of Sericultural and Entomological Science
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    • v.22 no.1
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    • pp.52-58
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    • 1980
  • Root system and distribution of soil components (pH, available P, K, Ca and Mg) were studied in a 20-year old, low-cutting mulberry field. The variety, kairyonezumigaeshi (Morus alba L.), was planted in a spacing of 1.8m${\times}$0.6m(740 tiess/10a). Roots and soil samples were taken from each of 196 blocks in a demension of 26${\times}$17${\times}$10cm(as shown in Fig. 1) from the soil between rows. 1. Whereas root system concentrated towards the stock, chemical components, pH, available P, Ca and Mg, were increasing toward the center of the row spacing. 2. Root system and distribution of chemical components between trees were not significantly different among blocks. 3. Roots were distributed most densely in a depth of 10∼20, intermediate 20∼30 and 30∼40, and least 0∼10cm. However, the concentrbtion of chemical components was the highest in a depth of 0∼10cm and decreased with soil depth. The soil. a depth of 0∼10cm on the center of row spacing, was the lowest in the root system and the richest in a chemical components. The results indicate that special fertilizinng management is required for the efficient absorption of nutrients.

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A Study on Deep Learning Structure of Multi-Block Method for Improving Face Recognition (얼굴 인식률 향상을 위한 멀티 블록 방식의 딥러닝 구조에 관한 연구)

  • Ra, Seung-Tak;Kim, Hong-Jik;Lee, Seung-Ho
    • Journal of IKEEE
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    • v.22 no.4
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    • pp.933-940
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    • 2018
  • In this paper, we propose a multi-block deep learning structure for improving face recognition rate. The recognition structure of the proposed deep learning consists of three steps: multi-blocking of the input image, multi-block selection by facial feature numerical analysis, and perform deep learning of the selected multi-block. First, the input image is divided into 4 blocks by multi-block. Secondly, in the multi-block selection by feature analysis, the feature values of the quadruple multi-blocks are checked, and only the blocks with many features are selected. The third step is to perform deep learning with the selected multi-block, and the result is obtained as an efficient block with high feature value by performing recognition on the deep learning model in which the selected multi-block part is learned. To evaluate the performance of the proposed deep learning structure, we used CAS-PEAL face database. Experimental results show that the proposed multi-block deep learning structure shows 2.3% higher face recognition rate than the existing deep learning structure.

Buckling Sensitivity of Laminated Composite Pipes Under External Uniform Pressure Considering Ply Angle (등분포하중을 받는 복합재료 관로의 적층각 변화에 따른 좌굴 민감도 분석)

  • Han, Taek Hee;Na, Tae Soo;Han, Sang Yun;Kang, Young Jong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.3
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    • pp.123-131
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    • 2007
  • The buckling behavior of a fiber reinforced plastic pipe was researched. When a cylindrical structure is made of isotropic material, it shows two dimensional buckled shape which has same deformed section along the longitudinal direction. But an anisotropic cylindrical structure shows three dimensional buckled shape which has different deformed section along the longitudinal direction. Because the modulus of elasticity is varied in a certain direction when ply angles are changed, the strength of a pipe are changed as ply angles are changed. In this study, the limitation of two dimensional and three dimensional buckling mode was investigated and the buckling strength of a laminated composite pipe was evaluated.