• Title/Summary/Keyword: 보함수

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삼각함수 학습지도에서 테크놀로지의 활용

  • Choe, Jong-Sul;Kim, Hyang-Suk;Kim, Bu-Yun
    • Communications of Mathematical Education
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    • v.16
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    • pp.123-137
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    • 2003
  • 본 논문의 목적은 삼각함수의 학습에 테크놀로지가 기여할 수 있는 방법적인 측면과 인지적인 효과를 명시하는 것이다. 테크놀로지가 삼각함수의 학습에 기여할 수 있는 네 가지 방법론적인 면을 '수학과 학생들의 실제 경험의 연결', '수학적 대상과 수학적 관계의 구체화', '수학의 다양한 표현 체계의 연결', '사고력 중심의 수학교육 추구'의 관점에서 논한다. 이 네 가지 방법론적인 측면 중 '수학적 대상과 수학적관계의 구체화'와 '수학의 다양한 표현 체계의 연결'을 중심으로 삼각함수의 학습법을 예시하면서 이 두 가지 방법이 어떻게 인지적으로 기여하는지를 보여준다.

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Structural Behavior of Thin-Walled, Pretwisted Composite Beams (초기 비틀림 각을 갖는 박벽 복합재료 보의 정적 거동 해석)

  • Park, Il-Ju;Hong, Dan-Bi;Jung, Sung-Nam
    • Composites Research
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    • v.20 no.6
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    • pp.15-20
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    • 2007
  • In this work, the structural response of thin-walled, composite beams with built-in twist angles is analyzed using a mixed beam approach. The analytical model includes the effects of elastic couplings, shell wall thickness, and torsion warping. Reissner's semi-complimentary energy functional is used to describe the beam theory and also to deal with the mixed-nature in the beam kinematics. The bending and torsion related warpings introduced by the non-zero pretwist angles are derived in closed-form through the proposed beam formulation. The theory is validated with available literature and detailed finite element analysis results for rectangular solid section beams with elastic couplings. Very good correlation has been obtained for the cases considered.

창원 강변여과수 취수지역의 지하수위와 낙동강 수위의 연관성 분석

  • Jeong, Jae-Yeol;Ham, Se-Yeong;Kim, Hyeong-Su;Han, Jeong-Sang;Son, Geon-Tae;Cha, Yong-Hun;Jang, Seong
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.09a
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    • pp.227-230
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    • 2003
  • 시계열 분석 기법을 통하여 창원시 대산면 갈전리 강변여과수 취수지역의 지하수위와 하천수위와의 연관성을 살펴보았다. 연구지역의 6개 관측공의 30분 간격의 지하수위의 자기상관성을 분석한 결과, 세 개의 그룹으로 나타난다. 이 세 그룹은 낙동강으로부터 가까운 거리에 있으며 강한 자기상관성을 보이는 그룹(1그룹), 하천으로부터 비교적 가깝고 양수정으로부터 떨어져 있는 그룹(2그룹), 그리고 약한 자기상관성을 보이는 그룹(3그룹)으로 나타난다. 1그룹이 강한 자기상관성을 보이는 것은 낙동강의 영향 때문인 것으로 판단되며, 3그룹의 약한 자기상관성은 취수정의 양수의 영향으로 판단된다. 6개 관측공 지하수위와 낙동강 수위의 교차상관분석을 실시한 결과, 교차상관함수가 0.1이하의 낮은 교차상관성을 보이고 있다. 이는 취수정의 양수에 의한 관측공의 수위변동에 의해서 낙동강 수위와의 연관성이 잘 나타나지 않기 때문이다.

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Determination of the Degree of Nonlinearity in the Response of Offshore Structures Using Higher Order Transfer Functions (고차 전이함수를 이용한 해양구조물 거동의 비선형도 결정)

  • 백인열
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.1
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    • pp.116-125
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    • 1995
  • Higher order nonlinear transfer functions are applied to model the nonlinear responses obtained Inn dynamic analysis of single degree of freedom systems (SDOF) subjected to wave and current loadings. The structural systems are subjected to single harmonic, two wave combination and irregular wave loading. Three different sources of nonlinearities are examined for each of the wave loading condition and it is shown that the nonlinear response appear at the resonance frequencies of the SDOF even when virtually no wave energy exists at those resonance frequencies. Higher order nonlinear transfer functions based on Volterra series representation are used to model the nonlinear responses mainly f3r the flexible systems and clearly shows the degrees of nonlinearity either as quadratic or cubic.

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Dynamic Characteristics of Composite Thin-Walled Beams with a Chord wise Asymmetric Cross-Section: I. Single-Cell (시위 방향 비대칭 단면의 복합재료 박벽보의 동특성 연구: I. 단일-셀)

  • Kim, Keun-Taek
    • Journal of Aerospace System Engineering
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    • v.12 no.6
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    • pp.41-49
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    • 2018
  • In this study, the theoretical dynamic characteristics of a thin-walled composite beam with a single-cell of chordwise asymmetric cross-section was studied. Mathematical modeling was done by considering the transverse shear effects, the warping restraint effects, the constant taper ratio in the longitudinal direction of the beam, and the geometrical cross-section ratio. The mass coefficients, stiffness coefficients, and Eigen frequencies of the selected section were investigated. In particular, the effects of the taper ratio and cross-section ratio of the model on the Eigen frequencies were analyzed and compared when the asymmetry of the section was considered and the warping function was not corrected.

나선 은하의 화학적 진화 : 우리 은하의 초기 질량함수와 별탄생율

  • An, Hong-Bae;Im, Jeong-Ae;Gang, Yong-Hui
    • Publications of The Korean Astronomical Society
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    • v.6 no.1
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    • pp.1-15
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    • 1991
  • 원반 및 해일로의 이중역 (two-zone) 모형을 바탕으로하여 나선은하의 화학적 진화 모형을 만들었다. 모형의 검증을 위하여 구체적인 수치계산을 수행하고 그 결과를 태양 부근에서 관측된 중원소 분포 등, 화학적 진화와 관련된 제반 관측 사실과 비교함으로써 은하계의 진화를 추론하였다. 모형의 수치계산 결과에 의하면 나선은하의 화학적 진화는 헤일로외 붕괴 과정과 별탄생율에 크게 의존하며, 원반의 초기질량함수와 별탄생율에 따라 서로 다른 양상을 보인다. 태양 부근 원반의 중원소 분포 등을 성공적으로 설명할 수 있는 진화 모형에서, 별탄생율은 가스의 질량 또는 표면밀도의 멱승에 비례하거나 시간에 따라 단조 감소하는 지수함수로써 표현되며, 초기질량함수는 헤일로에서는 다양한 형태의 함수 모두로써 가능하지만, 원반의 경우에는 시간에 따라 변화하는 질량함수를 채택하여야 한다. 우리 은하의 헤일로의 고속붕괴 모형에서는 시간에 따라 지수함수로 변화하는 별탄생율이 관측과 부하되지만, 반면 저속붕괴의 경우에는 가스 질량의 멱함수로 표현되는 별탄생율이 관측과 부합된다.

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Traffic Signal Control with Fuzzy Membership Functions Generated by Genetic Algorithms (유전 알고리즘에 의해 생성된 퍼지 소속함수를 갖는 교통 신호 제어)

  • Kim, Jong-Wan;Kim, Byeong-Man;Kim, Ju-Youn
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.6
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    • pp.78-84
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    • 1998
  • In this paper, a fuzzy traffic controller using genetic algorithms is presented. Conventional fuzzy traffic controllers use membership functions generated by humans. However, this approach does not guarantee the optimal solution to design the fuzzy controller. Genetic algorithm is a good problem solving method requiring domain-specific knowledge that is often heuristic. To find fuzzy membership functions showing good performance, a fitness function must be defined. However it's not easy in traffic control to define such a function as a numeric expression. Thus, we use simulation approach, namely, the fitness value of a solution is determined by use of a performance measure that is obtained by traffic simulator. The proposed method outperforms the conventional fuzzy controllers.

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A Global Optimization Method of Radial Basis Function Networks for Function Approximation (함수 근사화를 위한 방사 기저함수 네트워크의 전역 최적화 기법)

  • Lee, Jong-Seok;Park, Cheol-Hoon
    • The KIPS Transactions:PartB
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    • v.14B no.5
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    • pp.377-382
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    • 2007
  • This paper proposes a training algorithm for global optimization of the parameters of radial basis function networks. Since conventional training algorithms usually perform only local optimization, the performance of the network is limited and the final network significantly depends on the initial network parameters. The proposed hybrid simulated annealing algorithm performs global optimization of the network parameters by combining global search capability of simulated annealing and local optimization capability of gradient-based algorithms. Via experiments for function approximation problems, we demonstrate that the proposed algorithm can find networks showing better training and test performance and reduce effects of the initial network parameters on the final results.

Pseudorandom Permutation and Function Families Secure against Related-Key Attacks (연관키 공격에 안전한 의사난수 치환 및 함수 패밀리)

  • Kim, Jong-Sung;Sung, Jae-Chul;Eun, Hi-Chun
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.17 no.5
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    • pp.3-14
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    • 2007
  • In this paper, we observe that secure tweakable permutation families in the sense of strong pseudorandom permutation (SPRP) can be transformed to secure permutation families in the sense of SPRP against related-key attacks (SPRP-RKA). This fact allows us to construct a secure SPRP-RKA which is the most efficient to date. We also observe that secure function families of a certain form in the sense of a pseudorandom function (PRF) can be transformed to secure permutation families in the sense of PRP-RKA. We can exploit it to get various secure constructions against related-key attacks from known MAC algorithms. Furthermore, we define other security notions for related-key attacks, namely indistinguishability and non-malleability, and look into the relations between the security notions fur related-key attacks. We show that secure tweakable permutation families in the sense of indistinguishability (resp. non-malleability) can be transformed to secure permutation families in the sense of indistinguishability (resp. non-malleability) against related-key attacks.

Improvement of Euler-Bernoulli Beam Theory for Free Vibration and Buckling Analyses via Saint-Venant's Principle (생브낭 원리를 이용한 고전 보 이론의 고유진동수 및 좌굴하중 예측 개선)

  • Jeong, Yong-Min;Kim, Jun-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.4
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    • pp.381-387
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    • 2016
  • In this paper, the methodology applied to the improvement of stress analyses is extended to free vibration and buckling analyses. The essence of the methodology is the Saint-Venant's principle that is applicable to beam and plate models. The principle allows one to dimensionally reduce three-dimensional elasticity problems. Thus the methodology can be employed to vibration and buckling as well as stress analysis. First, the principle is briefly revisited, and then the formations of classical beam theories are presented. To improve the predictions, the perturbed terms (unknowns) are introduced together with the warping functions that are calculated by stress equilibrium equations. The unknowns are then calculated by applying the equivalence of stress resultants (i.e., Saint-Venant's principle). As numerical examples, cantilever and simply supported beams are analytically solved. The results obtained are compared with those of the classical beam theories. It is shown that the methodology can be used to improve the predictions without introducing shear correction factors.