• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1997년도 봄 학술발표회 논문집
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• pp.19-26
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• 1997

In this paper, two dimensional analytical infinite elements which can include multiple wave components to model a underlying half-space are developed. Since these elements are expressed clearly and simply using Legendre polynomials of frequencies in frequency domain, these are very economical and efficient in computing the responses of strip foundations in frequency domain and are easily transformed for SSI analysis in time domain. To prove the behavior of the proposed two dimensional analytical infinite elements, vertical, horizontal, and rocking compliances of a rigid strip foundation in layered soils are analyzed and compared with those of Tzong ' Penzie $n^{(17)}$ and with those which calculated by numerical infinite elemen $t^{(1)}$ in frequency domain, and good agreements are noticed between them. As an application for a further study, a new scheme for SSI analysis in time domain are proposed and verified by comparing the displacement responses of the soil with a underlying rock due to a rectangular impulse loading with those of a soil modeled extended FE meshes.soil modeled extended FE meshes.

• 한국시뮬레이션학회:학술대회논문집
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• 한국시뮬레이션학회 1992년도 제2회 정기총회 및 추계학술 발표회 발표논문 초록
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• pp.7-7
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• 1992

Extending discrete event modelling formalisms to facilitate greater symbol manipulation capabilities is important to further their use in intelligent control and design of high autonomy systems. This paper defines an extension to the DEVS formalism that facilitates symbolic expression of discrete event times by extending the time base from the real numbers to the field of linear polynomials over the reals. A simulation algorithm is developed to generate the branching trajectories resulting from the underlying non-determinism. To efficiently manage linear polynomial constraints based on feasibility checking algorithm borrowed from linear programming. The extended formalism offers a convenient means to conduct multiple, simultaneous explorations of model behaviors. Examples of application are given with consideration on fault model analysis.

• Korean Journal of Mathematics
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• 제29권4호
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• pp.825-831
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• 2021

The derivative of a polynomial p(z) of degree n, with respect to point α is defined by D_αp(z) = np(z) + (α - z)p'(z). Let p(z) be a polynomial having all its zeros in the unit disk |z| ≤ 1. The Sendov conjecture asserts that if all the zeros of a polynomial p(z) lie in the closed unit disk, then there must be a zero of p'(z) within unit distance of each zero. In this paper, we obtain certain results concerning the location of the zeros of D_αp(z) with respect to a specific zero of p(z) and a stronger result than Sendov conjecture is obtained. Further, a result is obtained for zeros of higher derivatives of polynomials having multiple roots.

• 한국전산구조공학회논문집
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• 제22권3호
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• pp.267-275
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• 2009

이 논문에서는 복합재료 적층판 해석을 위해 등가단층요소와 부분-선형 층별 적층요소를 서로 연계시킨 결합요소를 제안하였다. 등가단층요소는 퇴화 쉘요소에 의해 정식화되었으며, 반면에 부분-선형 층별요소의 경우 면내변위는 부분적 선형변화로, 두께방향으로의 면외변위는 일정하다고 가정하였다. 제안된 유한요소모델은 p-수렴방식에 기초를 두고 있다. 변위장 보간을 위해 적분형 르장드르 다항식이, 수치적분을 수행하기 위해서는 가우스-로바토 적분을 각각 채택하였다. 이 연구에서는 주로 p-수렴 결합요소의 검증을 위해 다양한 형태의 유한요소 다중모델에 대해 안정된 수치해석값을 보여주는 지에 초점을 두었다. 채택한 예제는 정해를 쉽게 알고 있는 단순한 문제로 인장력을 받는 평판 또는 연직하중을 받는 캔틸레버보에 적용하여 제안된 요소의 성능을 평가하였다.

• 정보처리학회논문지A
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• 제11A권2호
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• pp.115-122
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• 2004

본 논문에서는 전류모드 CMOS를 사용하여 다치 가산기 및 다치 승산기를 구현하였으며, 먼저 효과적인 집적회로 설계 이용성을 갖는 전류모드 CMOS를 사용하여 3치 T-게이트와 4치 T-게이트를 구현하였다. 구현된 다치 T-게이트를 조합하여 유한체 $GF(3^2)$의 2변수 3치 가산표와 승산표를 실현하는 회로를 구현하였으며, 이들 다치 T-게이트를 사용하여 유한체 $GF(4^2)$의 2변수 4치 가산표와 승산표를 실현하는 회로를 구현하였다. 또한, Spice 시뮬레이션을 통하여 이 회로들에 대한 동자특성을 보였다. 다치 가산기 및 승산기들은 $1.5\mutextrm{m}$ CMOS 표준 기술의 MOSFET 모델 LEVEL 3을 사용하였고, 단위전류는 $15\mutextrm{A}$로 하였으며, 전원전압은 3.3V를 사용하였다. 본 논문에서 구현한 전류모드 CMOS의 3치 가산기와 승산기, 4치 가산기와 승산기는 일정한 회선경로 선택의 규칙성, 간단성, 셀 배열에 의한 모듈성의 이점을 가지며 특히 차수 m이 증가하는 유한체의 두 다항식의 가산 및 승산에서 확장성을 가지므로 VLSI화 실현에 적합한 것으로 생각된다.

• 대한수학회지
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• 제8권1호
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• pp.25-30
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• 1971

Put ($$^*$$) $$G[x,y]={\sum}\limits^{p+q=n}_{p,q=0}[-n]_{p+q}c_{p,q}x^py^q$$, where $[{\lambda}]_m$ is the Pocbhammer symbol and the $c_{p,q}$ are arbitrary constants. Making use of the specialized forms of some of his earlier results (see [8] and [9] the author derives here bilateral generating functions of the type ($$^{**}$$) $${\sum}\limits^{\infty}_{n=0}{\frac{[\lambda]_n}{n!}}_2F_1[\array{{\rho}-n,\;{\alpha};\\{\lambda}+{\rho};}x]\;G[y,z]t^n$$ where ${\alpha}$, ${\rho}$ and ${\lambda}$ are arbitrary complex numbers. In particular, it is shown that when G[y, z] is a double hypergeometric polynomial, the right-band member of ($^{**}$) belongs to a class of general triple hypergeometric functions introduced by the author [7]. An interesting special case of ($^{**}$) when ${\rho}=-m,\;m$ being a nonnegative integer, yields a class of bilateral generating functions for the Jacobi polynomials $\{P_n{^{{\alpha},{\beta}}}(x)\}$ in the form ($$^{***}$$) $${\sum\limits^{\infty}_{n=0}}\(\array{m+n\\n}\)P{^{({\alpha}-n,{\beta}-n)}_{m+n}(x)\;G[y,z]{\frac{t^n}{n!}}$$, which provides a unification of several known results. Further extensions of ($^{**}$) and ($^{***}$) with G[y, z] replaced by an analogous multiple sum $H\[y_1,{\cdots},y_m\]$ are also discussed.

• 대한기계학회논문집A
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• 제26권10호
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• pp.2150-2158
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• 2002

A recent research and development has the requirement for the optimization to shorten design time of modified or new product model and to obtain more precise engineering solution. General optimization problem must consider many conflicted objective functions simultaneously. Multi-objective optimization treats the multiple objective functions and constraints with design change. But, real engineering problem doesn't describe accurate constraint and objective function owing to the limit of representation. Therefore this study applies variance analysis on the basis of structure analysis and DOE to the vertical roller mill fur portland cement and proposed statistical design model to evaluate the effect of structural modification with design change by performing practical multi-objective optimization considering mass, stress and deflection.

• Journal of the Optical Society of Korea
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• 제10권3호
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• pp.124-129
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• 2006

We have developed a compact and cost-effective camera module on the basis of wafer-scale-replica processing. A multiple-layered structure of several aspheric lenses in a mobile-phone camera module is first assembled by bonding multiple glass-wafers on which 2-dimensional replica arrays of identical aspheric lenses are UV-embossed, followed by dicing the stacked wafers and packaging them with image sensor chips. This wafer-scale processing leads to at least 95% yield in mass-production, and potentially to a very slim phone with camera-module less than 2 mm in thickness. We have demonstrated a VGA camera module fabricated by the wafer-scale-replica processing with various UV-curable polymers having refractive indices between 1.4 and 1.6, and with three different glass-wafers of which both surfaces are embossed as aspheric lenses having $230{\mu}m$ sag-height and aspheric-coefficients of lens polynomials up to tenth-order. We have found that precise compensation in material shrinkage of the polymer materials is one of the most technical challenges, in orderto achieve a higher resolution in wafer-scaled lenses for mobile-phone camera modules.

• Asian-Australasian Journal of Animal Sciences
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• 제31권10호
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• pp.1542-1549
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• 2018

Objective: Because lactation periods in dairy cows lengthen with increasing total milk production, it is important to predict individual productivities after 305 days in milk (DIM) to determine the optimal lactation period. We therefore examined whether the random regression (RR) coefficient from 306 to 450 DIM (M2) can be predicted from those during the first 305 DIM (M1) by using a RR model. Methods: We analyzed test-day milk records from 85,690 Holstein cows in their first lactations and 131,727 cows in their later (second to fifth) lactations. Data in M1 and M2 were analyzed separately by using different single-trait RR animal models. We then performed a multiple regression analysis of the RR coefficients of M2 on those of M1 during the first and later lactations. Results: The first-order Legendre polynomials were practical covariates of RR for the milk yields of M2. All RR coefficients for the additive genetic (AG) effect and the intercept for the permanent environmental (PE) effect of M2 had moderate to strong correlations with the intercept for the AG effect of M1. The coefficients of determination for multiple regression of the combined intercepts for the AG and PE effects of M2 on the coefficients for the AG effect of M1 were moderate to high. The daily milk yields of M2 predicted by using the RR coefficients for the AG effect of M1 were highly correlated with those obtained by using the coefficients of M2. Conclusion: Milk production after 305 DIM can be predicted by using the RR coefficient estimates of the AG effect during the first 305 DIM.

• 한국잡초학회지
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• 제4권1호
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• pp.88-95
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• 1984

다년생(多年生)의 심근성잡초(深根性雜草)가 우점하는 배 과수원의 합리적(合理的) 제초(除草)를 위한 Paraquat와 Oxyfluorfen 혼합조사(混合調査)을 찾고 이들에 대한 약제간(藥劑間)의 상호작용성(相互作用性)을 해석(解析)할 목적으로도 전보(前報)의 자료(資料)를 Multiple regression Polynomial 수식(數式)으로 고정시킨 후에 편미분치(偏微分値)를 구하여 해석하였다. 1. Relief-type의 등효과선(等效果線)을 추적한 결과, 본 시험 조건하에서는 처리후 90일까지의 합리적 제초 효과를 유지시키기 위하여 Paraquat 500-$750gHa^{-1}$과 Oxyfluorfen $450\sim500gHa^{-1}$범위의 조합이 바람직할 것으로 기대되었다. 2. Paraquat의 작용(作用) : 주어진 Oxyfluorfen의 모든 약량(藥量) 조건하에서 Paraquat 혼입량은 어느 정도의 제초효과를 위하여 450-$500gHa^{-1}$이하로 하거나 최대의 효과를 위하여 $900gHa^{-1}$ 이상으로 하는 것이 바람직 하였다. 3. Oxyfluorfen의 작용(作用) : 주어진 Paraquat의 모든 약량(藥量) 조건하에서 Oxyfluorfen의 혼입량은 $235\sim700gHa^{-1}$의 영역이나 $470gHa^{-1}$에서 최대효율을 나타내었다. 4. Paraquat${\times}$Oxyfluorfen의 상호작용(相互作用) ; 두 약제가 동시에 한 약량 단위씩 증가함에 따른 상승적 제초효율 증대는 처리후 30일의 경우 Paraquat $245gHa^{-1}$과 Oxyfluorfen $235\sim470gHa^{-1}$ 수준이 만드는 조합영역(組合領域)인 것으로 인정이 되었다. 5. 이상의 결과로 영년생이 우점하는 본 시험의 경우에는 약효발현제인 Paraquat의 혼합비를 상승효과 제한 수준인 $245gHa^{-1}$보다, 높은 $500\sim750gHa^{-1}$까지 높이고 약효 협력제인 Oxyfluorfen의 혼합비는 $470\sim705gHa^{-1}$보다 낮은 $450\sim500gHa^{-1}$까지 감소시키는 것이 높은 제초효과를 얻는데 바람직한 것으로 판단되었다.