• 한국측량학회지
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• 제26권1호
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• pp.17-26
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• 2008

우리나라 1등 수준망은 1974년부터 1986년간 관측된 자료를 1987년 동시 조정된 바 있다. 이후, 국토지리정보원에서는 2001년부터 2006년까지 전자레벨과 바코드 함척을 이용하여 1등 수준망에 대한 직접수준측량 실시하였고, 본 연구는 이들 관측자료 분석 및 수준망 조정 결과이다. 우리나라 1등 수준망은 총 36개 노선으로 구성되어 있는데, 그 중 34노선이 11개 폐합 환을 구성한다. 1등 수준측량 관측자료 중 4개 노선은 1등 수준측량 허용 왕복차를 초과하였으며, 3개 수준환은 허용 환 폐합차를 초과하였다. 수준점간 왕복차의 표준오차(${\eta}_1$)는 $0.2{\sim}1.7mm/{\surd}km$, 환 폐합차의 표준오차(${\eta}_2$)는 $2.0mm/{\surd}km$로 IGA의 고정밀 수준측량기준을 충족하였다. 1등 수준망은 1점(수준원점) 고정방식에 의한 망조정이 수행되었으며, 기준 표준오차($\hat{{\sigma}_0}$)는 $1.8mm/{\surd}km$로, 1987년 1등 수준망 조정의 기준 표준오차($\hat{{\sigma}_0}$)보다 2배 향상된 결과이다.

• 대한수학회보
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• 제55권5호
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• pp.1529-1561
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• 2018

Let f and g be nonconstant meromorphic (entire, respectively) functions in the complex plane such that f and g are of finite order, let a and b be nonzero complex numbers and let n be a positive integer satisfying $n{\geq}21$ ($n{\geq}12$, respectively). We show that if the difference polynomials $f^n(z)+af(z+{\eta})$ and $g^n(z)+ag(z+{\eta})$ share b CM, and if f and g share 0 and ${\infty}$ CM, where ${\eta}{\neq}0$ is a complex number, then f and g are either equal or at least closely related. The results in this paper are difference analogues of the corresponding results from.

• 한국식품영양학회지
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• 제6권3호
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• pp.208-210
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• 1993

In order to know the influences of heat treatment of yoghurt on pH, $\beta$-galactosidase and viable cells, yoghurt sample was made by general method with Lactobacillus bulgaricus and Streptococcus thermophilus, and the changes in pH, $\beta$-galactosidase-activity and viable cell-count were determined during heating at 55$^{\circ}C$ and 7$0^{\circ}C$. The pH of yoghurt was not changed when the yoghurt was heated at 7$0^{\circ}C$, but at 55$^{\circ}C$ it decreased slightly. The stability of $\beta$-galactosidase was not affected markedly by heat treatment at 55$^{\circ}C$, but was rapidly inactivated at 7$0^{\circ}C$. The heat treatment of yoghurt at 55$^{\circ}C$ had the halb of viable cell in 1 hour, but the heat treatment at 7$0^{\circ}C$ had considerable effect on viable cell in 5 minutes.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2017년도 추계학술대회
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• pp.145-147
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• 2017

Tracking filter plays a key role in accurate estimation and prediction of maneuvering vessel's dynamics. The third-order ${\alpha}-{\beta}-{\gamma}$ filter is one of the special cases of the general solution provided by the Kalman filter. Fading memory algorithm performs a better performance in numerous of ${\alpha}-{\beta}-{\gamma}$ filter algorithms. This study aims to optimize the fourth-order fading memory algorithm ${\alpha}-{\beta}-{\gamma}-{\eta}$ filter, which is extended form ${\alpha}-{\beta}-{\gamma}$ filter, to get much more accurate position of high dynamic target on the condition that the own ship is also high dynamic.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.763-772
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• 2010

This paper deals with the existence of triple positive solutions for the nonlinear second-order three-point boundary value problem z"(t)+a(t)f(t, z(t), z'(t))=0, t $\in$ (0, 1), $z(0)={\nu}z(1)\;{\geq}\;0$, $z'(\eta)=0$, where 0 < $\nu$ < 1, 0 < $\eta$ < 1 are constants. f : [0, 1] $\times$ [0, $+{\infty}$) $\times$ R $\rightarrow$ [0, $+{\infty}$) and a : (0, 1) $\rightarrow$ [0, $+{\infty}$) are continuous. First, Green's function for the associated linear boundary value problem is constructed, and then, by means of a fixed point theorem due to Avery and Peterson, sufficient conditions are obtained that guarantee the existence of triple positive solutions to the boundary value problem. The interesting point is that the nonlinear term f is involved with the first-order derivative explicitly.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.697-710
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• 2010

In this paper, we prove existence of infinitely many positive and concave solutions, by means of a simple approach, to $3^{th}$ order three-point singular boundary value problem {$x^{\prime\prime\prime}(t)=\alpha(t)f(t,x(t))$, 0 < t < 1, $x(0)=x'(\eta)=x^{\prime\prime}(1)=0$, (1/2 < $\eta$ < 1). Moreover with respect to multiplicity of solutions, we don't assume any monotonicity on the nonlinearity. We rely on a combination of the analysis of the corresponding vector field on the phase-space along with Knesser's type properties of the solutions funnel and the well-known Krasnosel'ski$\breve{i}$'s fixed point theorem. The later is applied on a new very simple cone K, just on the plane $R^2$. These extensions justify the efficiency of our new approach compared to the commonly used one, where the cone $K\;{\subset}\;C$ ([0, 1], $\mathbb{R}$) and the existence of a positive Green's function is a necessity.

• 호남수학학술지
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• 제44권1호
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• pp.110-120
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• 2022

In this paper, we introduce the concepts of Wijsman invariant statistical, Wijsman deferred invariant statistical and Wijsman strongly deferred invariant convergence of order 𝜂 (0 < 𝜂 ≤ 1) for set sequences. Also, we investigate some properties of these concepts and some relationships between them.

• Journal of applied mathematics & informatics
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• 제31권1_2호
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• pp.221-228
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• 2013

The method of upper and lower solutions and the generalized quasilinearization technique is developed for the existence and approximation of solutions to boundary value problems for higher order fractional differential equations of the type $^c\mathcal{D}^qu(t)+f(t,u(t))=0$, $t{\in}(0,1),q{\in}(n-1,n],n{\geq}2$ $u^{\prime}(0)=0,u^{\prime\prime}(0)=0,{\ldots},u^{n-1}(0)=0,u(1)={\xi}u({\eta})$, where ${\xi},{\eta}{\in}(0,1)$, the nonlinear function f is assumed to be continuous and $^c\mathcal{D}^q$ is the fractional derivative in the sense of Caputo. Existence of solution is established via the upper and lower solutions method and approximation of solutions uses the generalized quasilinearization technique.

• 대한수학회지
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• 제53권1호
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• pp.19-25
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• 2016

In this paper, some omissions in Mishra and Lai [13], have been pointed out and their corrective measures have been discussed briefly.

• 대한화학회지
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• 제48권5호
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• pp.473-482
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• 2004

동종이핵착물인 $M^+({\eta}^5-MeCp)Mn(CO)_2Mn(CO)_5^-(M^+=Na^+,\;PPN^+)$과 염화알릴과의 반응을 고순도 질소속에서 염화알릴을 다량 넣어서 유사1차 반응조건에서 다양한 온도($20^{\circ}C{\sim}50^{\circ}C$)에서 반응시켰다. 이 동종이핵착물을 네 개의 원자를 있는 전이 상태를 거치는 단일 단계 반응과 관련되는 것으로 보인다. 이러한 전이 상태 후 CO와 만나서 $({\eta}^5-MeCp)Mn(CO)_3와\;({\eta}^1-allyl)Mn(CO)_5$로 이어지는 것 같다. 그러나 양이온이 $Na^+$인 경우, 이 양이온은 이 반응에서 동종이핵착물의 $Mn(CO)_5$ 부분에서 CO하나를 $({\eta}^5-MeCp)Mn(CO)_2$쪽으로 이동시켜 결국 $({\eta}^5-MeCp)Mn(CO)_3$로 만들거나 혹은 양이온($Na^+$)과 이탈기인 Cl을 끌어당겨서 반응을 가속화 시키는 역할을 하는 것으로 생각되었다. 이 반응은 각각의 반응물질에 관해서 1차, 따라서 전체적으로 2차 반응이며 이 반응에 관련된 활성화 에너지 관련 매개변수들은 다음과 같다(양이온이 $Na^+$인 경우 ${\Delta}H^{\neq}=17.15{\pm} 0.17 kcal/mol,\;{\Delta}S^{\neq}=-9.63{\pm}0.10$ e.u.; 양이온이 인 경우 ${\Delta}H^{\neq}=22.13{\pm}0.21 kcal/mol,\;;{\Delta}S^{\neq}=9.74{\pm}0.19$ e.u.).