• 한국지반공학회논문집
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• 제30권10호
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• pp.5-18
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• 2014

세계의 많은 지역이 강우에 의한 사면파괴가 취약하다. 사면파괴의 발생 메커니즘을 파악하기 위해 지금까지 다양한 방법들이 제안되어져 왔으나 현재 사용되는 방법들은 비균질한 지반분포와 수리학적 거동이 강우로 인한 사면파괴에 미치는 효과를 고려하지 못한다. 본 연구에서는 강우 시 토층의 두께에 따른 사면파괴의 발생 메커니즘을 연구하기 위하여 불투수 기반암 위에 존재하는 풍화 잔류토 사면에 대한 확률론적 사면안정 해석을 수행하였다. 불균질한 투수계수의 공간적 분포로 인한 불확실성이 강우침투에 의한 불포화 사면의 파괴에 미치는 영향을 고려하기 위하여 일차원 랜덤필드에 기초한 일련의 침투해석과 사면 안정해석을 수행하였다. 해석결과에 의하면 확률론적 해석법은 사면에 대한 강우의 침투 평가 시 투수계수의 공간적인 변동에 의하여 발생하는 다양한 파괴 패턴을 효과적으로 고려할 수 있음을 보여준다.

• 한국학교수학회논문집
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• 제11권3호
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• pp.421-438
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• 2008

구분구적법에 대한 이해는 리만합의 극한으로 정의되는 정적분에 대한 이해의 기초가 된다. 그러나 선행연구는 구분구적법과 리만합의 극한으로서 정적분 개념에 대한 학생들의 이해에 여러 가지 한계가 있음을 지적하였다. 이 연구에서는 선행연구 분석을 통해 구분구적법의 개념 지도에 있어 크게 두 가지 어려움이 있음을 확인하였으며, 이를 개선하는데 기여할 만한 교수학적 시사점을 각각 기술하였다. 나아가 미국, 영국, 일본 교과서에 비추어 우리나라 교과서에서만 고유하게 다루어지는 정적분과 무한급수의 관계가 리만합의 극한이라는 정적분의 개념 지도에 있어 필수적인 내용 요소인지를 반성적으로 검토하였다.

• Communications for Statistical Applications and Methods
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• 제29권6호
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• pp.709-719
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• 2022

Recently, as the importance of environmental protection has emerged, interest in new and renewable energy is also increasing worldwide. In particular, the solar energy sector accounts for the highest production rate among new and renewable energy in Korea due to its infinite resources, easy installation and maintenance, and eco-friendly characteristics such as low noise emission levels and less pollutants during power generation. However, although climate prediction is essential since solar power is affected by weather and climate change, solar radiation, which is closely related to solar power, is not currently forecasted by the Korea Meteorological Administration. Solar radiation prediction can be the basis for establishing a reasonable new and renewable energy operation plan, and it is very important because it can be used not only in solar power but also in other fields such as power consumption prediction. Therefore, this study was conducted for the purpose of improving the accuracy of solar radiation. Solar radiation was predicted by a total of three weather variables, temperature, humidity, and cloudiness, and solar radiation outside the atmosphere, and the results were compared using various models. The CatBoost model was best obtained by fitting and comparing the Boosting series (XGB, CatBoost) and RNN series (Simple RNN, LSTM, GRU) models. In addition, the results were further improved through Time series cross-validation.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2008년도 정기 학술대회
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• pp.72-77
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• 2008

Stability is a very important part which we must consider in structural design. In this paper, we take advantage of finite element method, and study about parametrical instability of star-dome structures, which is subjected to harmonically pulsating load. When calculating stiffness matrix, we consider elastic stiffness and geometrical stiffness simultaneously. In equation of motion, we represent displacements and accelerations by trigonometric series expansions, and then obtain Hill's infinite determinants. After first order approximation, we can get first and second order dynamic instability region finally.

• 대한수학회논문집
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• 제22권3호
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• pp.331-351
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• 2007

Let k be an imaginary quadratic field, h the complex upper half plane, and let $\tau{\in}h{\cap}k$, $q=e^{{\pi}i\tau}$. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.

• 대한수학회지
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• 제55권3호
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• pp.705-717
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• 2018

We construct some infinite series of free and nearly free curves using pencils of conics with a base locus of cardinality at most two. These curves have an interesting topology, e.g. a high degree Alexander polynomial that can be explicitly determined, a Milnor fiber homotopy equivalent to a bouquet of circles, or an irreducible translated component in the characteristic variety of their complement. Monodromy eigenspaces in the first cohomology group of the corresponding Milnor fibers are also described in terms of explicit differential forms.

• 전자공학회논문지D
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• 제34D권7호
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• pp.8-14
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• 1997

The phusical optics approximation to an E-polarized diffraction by a composite wedge provides its diffraction coefficients in terms of finite series of cotangent functions. In this paper, its diffraction coefficients inside the dielectric part are extended to become the exact solution to the perfectly conducting wedge as its relative dielectric constant increases to infinite or decreases to 1. It is assured that the extended diffraction coefficients satisfy the boundary condition at th econducting interface and become zero in the artificially complementary region of the composite wedge.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.183-198
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• 2003

We highlight the alternative presentation of the Cauchy-Riemann conditions for the analyticity of a complex variable function and consider plane equilibrium problem for an elastic transversely isotropic layer, in finite deformation. We state the fundamental problems and consider traction boundary value problem, as an example of fundamental problem-one. A simple solution of“Lame's problem”for an infinite layer is obtained. The profile of the deformed contour is given; and this depends on the order of the term used in the power series specification for the complex potential and on the material constants of the medium.

• Kyungpook Mathematical Journal
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• 제50권2호
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• pp.229-235
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• 2010

In the present paper, we obtain a new formula for the generalized Weyl differintegral operator in a compact form avoiding the occurrence of infinite series and thus making it useful in applications. Our findings provide interesting generalizations and unifications of the results given by several authors and lying scattered in the literature.

• Korean Journal of Mathematics
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• 제26권2호
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• pp.155-166
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• 2018

Consider FARIMA time series with innovations that have infinite variances. We are interested in the estimation of self-similarities $H_n$ of FARIMA(0, d, 0) by using modified R/S statistic. We can confirm that the $H_n$ converges to Hurst parameter $H=d+\frac{1}{2}$. Finally, we figure out ARMA and minimum variance power spectrum density of FARIMA processes.