• Title/Summary/Keyword: R곡선

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매스매티카를 활용한 나비곡선의 작도 및 기하학적 성질 분석

  • Geum, Yeong-Hui;Kim, Yeong-Ik
    • Communications of Mathematical Education
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    • v.18 no.1 s.18
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    • pp.257-266
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    • 2004
  • 자연의 세계에서 나뭇잎, 돌기물, 구름, 해안선, 곤충의 모습 등에 내재하고 있는 아름다움은 흔히 균형성, 대칭성, 다양성 등으로부터 비롯된다. 자연 현상은 복소수를 활용하여 극좌표 표현으로 묘사되는 경우가 많다. 본 논문에서는 1989년 Temple H. Fay가 Amer. Math. Monthly 96(5)호에서 발표한 나비곡선 r= e$^{cos{\theta}}$-2cos4${\theta}$+sin$^5$($\frac{\theta}{12}$)의 기하학적 성질을 대칭 이동, 회전 이동, 수치적분, 미분, 극좌표계, 삼각함수, 지수함수 및 매개함수의 표현 등 고등학교 및 대학의 미적분학 관점에서 살펴 보고 극좌표 도형에 관한 흥미 유발과 더불어 컴퓨터 활용 방법을 제시하기로 한다. 수학전문 소프트웨어인 매스매티카를 활용하여 나비곡선의 작도 및 기하학적 성질을 분석하고자 한다.

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Topologically Adaptable Geometric Snakes (위상변화가 자유로운 기하학적 스네이크)

  • Kim, Haeng-Kang;Seo, Yong-Deuk;Jung, Moon-R.
    • Journal of the Korea Computer Graphics Society
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    • v.9 no.3
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    • pp.1-5
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    • 2003
  • 3차원 메쉬에서 특징을 추출하는 것은 메쉬 에디팅이나 메쉬 모핑 등의 여러 가지 메쉬 처리에 있어서 중요한 일이다. 특징을 추출하는 방법 중에서 사용자가 지정한 부근의 특징을 자동적으로 찾아주는 방법은 이미지 처리 분야에서는 오래 전부터 사용되어 왔는데 이미지 스네이크 알고리즘이 그것이다. 최근에는 그러한 이미지 스네이크 알고리즘이 3차원 메쉬에 적용되어 기하학적인 스네이크 알고리즘으로 탄생하였다. 본 논문은 기하학적 스네이크의 새로운 알고리즘을 제시하고, 찾고자 하는 특징의 모양에 따라 스네이크 곡선의 위상이 자유롭게 변화하는 기하학적 스네이크 모델을 제안한다. 본 논문에 사용된 알고리즘은 이미지 스네이크 알고리즘의 동적 프로그래밍 방법을 3차원 메쉬에 응용한 것으로 스네이크 포인트들이 메쉬의 에지를 따라 3차원 상에서 직접 이동을 하면서 에너지가 최소가 되는 지점을 찾아 가는 방식이다. 스네이크 곡선은 메쉬상의 이웃한 정점들의 순차적인 연결선으로 이루어지며 찾고자 하는 특징의 모양과 크기에 따라 스네이크 포인트의 개수가 자동으로 조절된다. 또한 주변의 다른 스네이크 포인트와 만났을 때 합쳐지거나 반대로 여러 스네이크 곡선으로 나뉘어 질 수 있다.

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An Examination of the Minimum Reinforcement Ratio for Reinforced Concrete Flexural Members (철근콘크리트 휨부재의 최소철근비에 대한 고찰)

  • Choi, Seung-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.21 no.6
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    • pp.35-43
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    • 2017
  • The minimum reinforcement ratio is an important design factor to prevent a brittle failure in RC flexural members. A minimum reinforcement ratio is presented by assuming an effective depth of cross-section and moment arm lever in CDC and KHBDC. In this study, it suggests that a rational method for minimum reinforcement ratio is calculated by material model and force equilibrium. As results, a minimum reinforcement ratio using a p-r curve in KHBDC is evaluated about 52~80% of recent design code's value and it induces an economical design. And also, a ductility capacity in case of placing this minimum reinforcement amount is evaluated about 89% of recent design code's value, but ductility in a member is 7 or more, so it has a sufficient ductility capacity. Therefore, it is judged that a minimum reinforcement ratio using p-r curve has a theoretical rationality, safety and economy in a flexural member design.

A Scalable ECC Processor for Elliptic Curve based Public-Key Cryptosystem (타원곡선 기반 공개키 암호 시스템 구현을 위한 Scalable ECC 프로세서)

  • Choi, Jun-Baek;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.8
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    • pp.1095-1102
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    • 2021
  • A scalable ECC architecture with high scalability and flexibility between performance and hardware complexity is proposed. For architectural scalability, a modular arithmetic unit based on a one-dimensional array of processing element (PE) that performs finite field operations on 32-bit words in parallel was implemented, and the number of PEs used can be determined in the range of 1 to 8 for circuit synthesis. A scalable algorithms for word-based Montgomery multiplication and Montgomery inversion were adopted. As a result of implementing scalable ECC processor (sECCP) using 180-nm CMOS technology, it was implemented with 100 kGEs and 8.8 kbits of RAM when NPE=1, and with 203 kGEs and 12.8 kbits of RAM when NPE=8. The performance of sECCP with NPE=1 and NPE=8 was analyzed to be 110 PSMs/sec and 610 PSMs/sec, respectively, on P256R elliptic curve when operating at 100 MHz clock.

JIC Evaluation of the Smooth and the Side-Grooved CT Specimens in the Reactor Pressure Vessel Steel(SA508-3) (원자력압력용기강 (SA508-3)의 평활 및 측면홈 CT시험편을 이용한 J$_{IC}$ 평가)

  • Oh, Sae-Wook
    • Journal of Ocean Engineering and Technology
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    • v.8 no.2
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    • pp.173-184
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    • 1994
  • 원자력 압력용기강의 탄소성 파괴인성값 $J_IC$를 CT형 시험편을 이용하여 검토하였으며, 평활 시험편 및 측면홈 시험편의 두께는 각각 $B_O$=25.4mm, $B_N$=20.4mm 이다. 측면홈의 깊이는 19.7% 이며, 홈의 각도는 90 .deg.로 가공하였다. 탄소성 파괴인성시험은 ASTM E813-81과 JSME S001-81의 추천방법에 따라 실시하였다. 두 추천방법으로 실험한 결과 ASTM 방법에 의한 $J_IC$값이 과대평가됨으로써 부대조건에 만족되지 못하였지만 JSME방법은 만족되었다. 측면홈 시험편은 R고선법에 의한 ductile tearing의 결정이 평활 시험편보다 용이하였으며, 이에 따른 $J_IC$값의 정확성을 배가 할 수 있었다. 또한 임계 스트레치존 폭($SZW_C$)은 측면홈에 의한 높은 3축응력이 발생되어 평활시험편보다 적게 나타났으며, 이러한 복합적인 원인에 기인하여 스트레치존법에 의한 $J_IC$평가는 R곡선법에 의한 평가보다 약간 과대평가됨을 알 수 있었다.

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Genetic Aspects of the Growth Curve Parameters in Hanwoo Cows (한우 암소의 성장곡선 모수에 대한 유전적 경향)

  • Lee, Chang-U;Choe, Jae-Gwan;Jeon, Gi-Jun;Kim, Hyeong-Cheol
    • Journal of Animal Science and Technology
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    • v.48 no.1
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    • pp.29-38
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    • 2006
  • The objective of this study was to estimate genetic variances of growth curve parameters in Hanwoo cows. The data used in this study were records from 1,083 Hanwoo cows raised at Hanwoo Experiment Station, National Livestock Research Institute(NLRI). First evaluation model(Model I) fit year-season of birth and age of dam as fixed effects and second model(Model II) added age at the final weight as a linear covariate to Model I. Heritability estimates of A, b and k from Gompertz model were 0.22, 0.11 and 0.07 using modelⅠ and 0.28, 0.11 and 0.12 using modelⅡ. Those from Von Bertalanffy model were 0.22, 0.11 and 0.07 using modelⅠ, 0.28, 0.11 and 0.12 using modelⅡ. Heritability estimates of A, b and k from Logistic model were 0.14, 0.07 and 0.05 using modelⅠ, 0.18, 0.07 and 0.12 using modelⅡ. Heritability estimates of A from Gompertz model were higher than those from Von Bertalanffy model or Logistic model in both model Ⅰand model Ⅱ. Heritability estimates of b from Logistic model were higher than those from Gompertz model or Von Bertalanffy model in both modelⅠand model Ⅱ. Heritability estimates of birth weight, weaning weight, 3 month weight, 6 month weight, 9 month weight, 12 month weight, 18 month weight, 24 month weight, 36 month weight were after linear age adjustment 0.27, 0.11, 0.19, 0.14, 0.16, 0.23, 0.52 and 0.32, respectively. Heritability estimates of birth weight, weaning weight, 3 month weight, 6 month weight, 9 month weight and 24 month weight fit by Gompertz model were larger than those estimated from linearly adjusted data. Heritability estimates of 12 month weight, 18 month weight and 36 month weight fit by Von Bertalanffy model were larger than those estimated from linearly adjusted data. In the multitrait analyses for parameters from Gompertz model, genetic and phenotypic correlations between A and k parameters were -0.47 and -0.67 using modelⅠand -0.56 and -0.63 using model Ⅱ. Those between the A and b parameters were 0.69 and 0.34 using modelⅠand 0.72 and 0.37 using model Ⅱ. Those between the b and k parameters were -0.26 and 0.01 using modelⅠand -0.30 and 0.01 using model Ⅱ. In the multitrait analyses for parameters from Von Bertalanffy model, genetic and phenotypic correlations between A and k parameters were -0.49 and -0.67 suing model Ⅰ and -0.57 and -0.70 using modelⅡ. Those between the A and b parameters were 0.61 and 0.33 using modelⅠ and 0.60 and 0.30 using model Ⅱ. Those between the b and k parameters were -0.20 and 0.02 using modelⅠ and 0.16 and 0.00 using modelⅡ. In the multitrait analyses for parameters from Logistic model, genetic and phenotypic correlations between A and k parameters were -0.43 and -0.67 using model Ⅰ and -0.50 and -0.63 using modelⅡ. Those between the A and b parameters were 0.47 and 0.22 using modelⅠ and 0.38 and 0.24 using modelⅡ. Those between the b and k parameters were -0.09 and 0.02 using model Ⅰ and -0.02 and 0.13 using model Ⅱ.

A Comparison Study between Top-down Load Test and Bi-directional Load Test Analysis Method in Rock-socketed Small Size Drilled Shaft (암반소켓된 소구경 현장타설말뚝의 정재하시험과 양방향재하시험 분석법 비교연구)

  • Song, Myungjun;Song, Younghun;Jung, Minhyung;Park, Youngho;Park, Jaehyun;Lee, Juhyung;Chung, Moonkyung
    • Journal of the Korean GEO-environmental Society
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    • v.14 no.9
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    • pp.5-12
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    • 2013
  • In this study, each top-down load test and bi-directional load test has been performed on the 480mm diameter of two rock socketed drilled shafts, which are located next to each other, and the results have been compared. The result shows that the settlement from the equivalent load-settlement curve of bi-directional load test is smaller than one from top-down load test, because elastic is not considered in equivalent load-settlement curve of bi-directional load test. Therefore elastic shortening should be considered to obtain appropriate equivalent load-settlement curve. Three existing methods used to obtain equivalent load-settlement curve with consideration of elastic shortening has been compared with the result of top-down load test. The result shows that those existing methods are sufficiently applicable to the design. In addition, result of comparison between top-down load test and bi-directional load test shows that bi-directional load test was found to overestimate bearing capacity because it does not consider pile body failure.

Correlation between Caries Experience and New Colorimetric Caries Activity Test in Children (소아에서 치아 우식 경험과 새로운 치아 우식 활성 비색 검사)

  • Cho, Seonghyeon;Lee, Hyoseol;Choi, Byungjai;Kim, Bakil;Kim, Seongoh;Choi, Hyungjun
    • Journal of the korean academy of Pediatric Dentistry
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    • v.42 no.1
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    • pp.30-37
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    • 2015
  • A new colorimetric test ($Cariview^{(R)}$) using a new type of pH indicator can reflect the acidogenic potential of plaque bacteria. The objective of this study was to evaluate the correlation between $Cariview^{(R)}$ and the caries experience (measured through the dmft index) of children, and to compare $Cariview^{(R)}$ with Dentocult $SM^{(R)}$. Having obtained informed consent, 135 children less than 6 years old participated in the study. We examined their dmft index, and performed two caries activity tests ($Cariview^{(R)}$ and Dentocult $SM^{(R)}$) according to the manufacturers' instructions. In the results, $Cariview^{(R)}$ showed a moderate correlation with the dmft index (r = 0.43, p < 0.01). $Cariview^{(R)}$ showed a sensitivity of 68.8%, a specificity of 69.2%, and an area under curve of 0.686 in the ROC curve analysis. $Cariview^{(R)}$ had a significant correlation with the children's caries experience and had a slightly better explanatory ability than Dentocult $SM^{(R)}$. Furthermore, $Cariview^{(R)}$ was convenient and easy to use on uncooperative children, and also had an educational effect with its visual colors. It is suggested that $Cariview^{(R)}$ could be used clinically to identify the children susceptible to develop caries and to establish a preventive strategy.

짧은 주기의 근접쌍성 BD And의 측광 및 그 분석을 통하여 살펴 본 RS CVn형 쌍성의 성질과 그 천체물리학적 의미

  • Kim, Cheon-Hwi;Song, Mi-Hwa;Yun, Yo-Na;Han, Won-Yong;Choe, Yong-Jun
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.1
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    • pp.55.1-55.1
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    • 2012
  • 2010년과 2011년의 관측시즌에 총 23일의 BVR 측광 관측을 통하여 처음으로 얻은 2세트의 BVR 광도 곡선을 분석하였다. 새로운 두 세트의 BVR 광도곡선은 제1식과 제2식의 깊이가 거의 비슷하지만, 식바깥 부분에서 관측 시즌에 따라 서로 다른 모양의 잘 발달된 파형 모양을 보인다. 이는 BD And가 흑점이 활동이 매우 심한 짧은 주기의 RS CVn형 식쌍성임을 나타내는 것이다. 우리의 극심시각을 포함한 모든 극심시각을 분석하여 BD And의 공전주기가 규칙적으로 변하는 것을 발견하였다. 이 변화를 보이지 않는 제3천체에 의한 광시간 효과로 가정하여, 궤도이심율이 0.83이며, 9.15년의 주기를 가진 광시간 궤도를 결정하였다. Wilson-Devinney 쌍성 모형을 이용하여 흑점과 제3광도를 고려한 두 세트의 광도곡선 해를 산출하였고, BD And의 절대량을 구하였다. 식바깥의 파형 모양의 변화는 주성의 표면에 매우 큰 두 개의 흑점과 그 위치와 이동으로 잘 설명되며, 전체 광도의 약 15%에 해당되는 제3광도가 검출되었다. 주기연구에서 구한 제3천체의 궤도요소와 제3광도의 결합으로 제3천체의 질량과 궤도경사각을 유추하였다. BD And의 성분별의 평균 나이가 등연령 곡선으로부터 태양과 비슷한 4.6${\times}$109년으로 산출되었다. BD And를 포함하여 현재까지 알려진 짧은 주기의 RS CVn형 쌍성들의 H-R도가 항성진화 경로와 함께 제시되며, 그 천체물리학적 의미를 살펴본다.

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A Study on the Antiferromagnetism and Exchange Anisotropy for Co/Pd Multilayered Thin Films by the Analysis of the Hall Effect (Hall 이력곡선 분해에 의한 Co/Pd 다층박막에서의 Antiferromagnetism 및 Exchange Anisotropy 분석)

  • 정진덕;이행기;김상록;이성래
    • Journal of the Korean Magnetics Society
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    • v.3 no.4
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    • pp.269-276
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    • 1993
  • Co/Pd multilayered thin films with various ratios of Co sublayers to Pd sublayers(nCo/nPd = 1/4, 2/4, 3/4, 5/4) were fabricated at different substrate temperatures($R.\;T.,\;100,\;150,\;200\;^{\circ}C$) with the conventional vacuum evaporation method, and their Hall voltage hysteresis curves were measured. These Hall curves were decomposed on the basis of the superpose of the transverse Hall effect term from the magnetizations of Co and Pd sublayers and the magnetoresistivity term, by the optimal fitting method. In the results, both of the ferromagnetic and anti ferromagnetic states coexisted through whole samples, and the uniaxial or unidirectional easy axis type Hall hysteresis curves occured were dependent upon the effects of the exchange anisotropy between both magnetic states and the domain wall pinning by the antiferromagnet inclusions.

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