• 설비공학논문집
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• 제26권9호
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• pp.416-423
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• 2014

To verify different boundary conditions on the borehole wall, which are commonly used for generating g-function, the well-known TRNSYS simulation model, DST (Duct STorage), is employed. By letting the fluid circulation determine the borehole wall conditions, a DST-based g-function is induced with numerical processes proposed in this work. A new TRNSYS module is also developed to accommodate g-function data and predict dynamic outlet fluid temperatures. Results showed that the modified g-function, which is different from Eskilson's original g-function, is closer to the DST-based g-function. This implies that the uniform heat transfer rates over the height can be used for good approximation. In fact, simulations with the modified g-function showed similar results as the DST model, while Eskilson g-function case deviated from the DST model as time progressed.

• 충청수학회지
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• 제24권3호
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• pp.595-599
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• 2011

We prove that for any positive integer $g{\geq}3$, there are ${\gg}q^{\frac{l}{2g}}$ real cyclotomic function fields whose conductor has degree ${\leq}l$ and ideal class number is divisible by $\frac{g}{gcd(2,g)}$.

• 호남수학학술지
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• 제43권2호
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• pp.183-197
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• 2021

Recently several authors have extended the Beta function by using its integral representation. However, in many cases no expression of these extended functions in terms of classic special functions is known. In the present paper, we introduce a further extension by defining a family of functions G_r,s : ℝ^*₊ → ℂ, with r, s ∈ ℂ and ℜ(r) > 0. For given r, s, we prove that this function satisfies a second-order linear differential equation with rational coefficients. Solving this ODE, we express G_r,s as a combination of confluent hypergeometric functions. From this we deduce a new integral relation satisfied by Tricomi's function. We then investigate additional specific properties of G_r,1 which take the form of new non trivial integral relations involving exponential and error functions. We discuss the connection between G_r,1 and Stokes' first problem (or Rayleigh problem) in fluid mechanics which consists in determining the flow created by the movement of an infinitely long plate. For $r{\in}{\frac{1}{2}}{\mathbb{N}}^*$, we find additional relations between G_r,1 and Hermite polynomials. In view of these results, we believe the family of extended beta functions G_r,s will find further applications in two directions: (i) for improving our knowledge of confluent hypergeometric functions and Tricomi's function, (ii) and for engineering and physics problems.

• 대한수학회보
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• 제53권6호
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• pp.1671-1683
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• 2016

Abstract. In this paper, for $a{\in}C$, we investigate functions $g_a$ and ${\psi}_a$ associated with three term relations. $g_a$ is defined by means of function ${\psi}_a$. By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function $g_a$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권3호
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• pp.337-345
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• 2023

Different versions of the boundary Schwarz lemma for the 𝒩 (𝜌) class are discussed in this study. Also, for the function g(z) = z+b₂z²+b₃z³+... defined in the unit disc D such that g ∈ 𝒩 (𝜌), we estimate a modulus of the angular derivative of g(z) function at the boundary point 1 ∈ 𝜕D with g'(1) = 1 + 𝜎 (1 - 𝜌), where ${\rho}={\frac{1}{n}}{\sum\limits_{i=1}^{n}}g(c_i)={\frac{g^{\prime}(c_1)+g^{\prime}(c_2)+{\ldots}+g^{\prime}(c_n)}{n}}{\in}g^{\prime}(D)$ and 𝜌≠1, 𝜎 > 1 and c₁, c₂, ..., c_n ∈ 𝜕D. That is, we shall give an estimate below |g"(1)| according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z ≠ 0. Estimating is made by using the arithmetic average of n different derivatives g'(c₁), g'(c₂), ..., g'(c_n).

• 대한수학회지
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• 제46권6호
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• pp.1309-1318
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• 2009

Let k be a positive integer, and let G be a simple graph with vertex set V (G). A Roman k-dominating function on G is a function f : V (G) $\rightarrow$ {0, 1, 2} such that every vertex u for which f(u) = 0 is adjacent to at least k vertices $\upsilon_1,\;\upsilon_2,\;{\ldots},\;\upsilon_k$ with $f(\upsilon_i)$ = 2 for i = 1, 2, $\ldot$, k. The weight of a Roman k-dominating function is the value f(V (G)) = $\sum_{u{\in}v(G)}$ f(u). The minimum weight of a Roman k-dominating function on a graph G is called the Roman k-domination number ${\gamma}_{kR}$(G) of G. Note that the Roman 1-domination number $\gamma_{1R}$(G) is the usual Roman domination number $\gamma_R$(G). In this paper, we investigate the properties of the Roman k-domination number. Some of our results extend these one given by Cockayne, Dreyer Jr., S. M. Hedetniemi, and S. T. Hedetniemi [2] in 2004 for the Roman domination number.

• 천문학논총
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• 제25권4호
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• pp.113-118
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• 2010

The Henyey-Greenstein (H-G) phase function, which is characterized by a single parameter, has been generally used to approximate the realistic dust-scattering phase function in investigating scattering properties of the interstellar dust. Draine (2003) proposed a new analytic phase function with two parameters and showed that the realistic phase function is better represented by his phase function. If the H-G and Draine's phase functions are significantly different, using the H-G phase function in radiative transfer models may lead to wrong conclusions about the dust-scattering properties. Here, we investigate whether the H-G and Draine's phase functions would indeed produce significant differences in radiative transfer calculations for two simple configurations. For the uniformly distributed dust with an illuminating star at the center, no significant difference is found. However, up to ~ 20% of difference is found when the central star is surrounded by a spherical-shell dust medium and the radiation of $\lambda$ < $2000\;{\AA}$ is considered. It would mean that the investigation of dust-scattering properties using the H-G phase function may produce errors of up to ~ 20% depending on the geometry of dust medium and the radiation wavelength. This amount of uncertainty would be, however, unavoidable since the configurations of dust density and radiation sources are only approximately available.

• 대한수학회보
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• 제46권6호
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• pp.1079-1089
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• 2009

In this paper, we shall show that for any entire function f, the function of the form $f^m(f^n$ - 1)f' has no non-zero finite Picard value for all positive integers m, n ${\in}\;{\mathbb{N}}$ possibly except for the special case m = n = 1. Furthermore, we shall also show that for any two nonconstant meromorphic functions f and g, if $f^m(f^n$-1)f' and $g^m(g^n$-1)g' share the value 1 weakly, then f $\equiv$ g provided that m and n satisfy some conditions. In particular, if f and g are entire, then the restrictions on m and n could be greatly reduced.

• 한국통신학회논문지
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• 제41권12호
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• pp.1914-1924
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• 2016

본 논문은 5G 모바일 네트워크에서 가상화 기반의 이동통신 코어망인 Virtualized Evolved Packet Core(vEPC) 환경을 고려하여, 가입자의 종류 및 트래픽 식별에 따라 동적으로 End-to-end 서비스를 제공하기 위한 기술인 Service Function Chaining(SFC)을 적용하기 위한 구조 및 메시지 절차를 제안한다. SFC 기술은 네트워크 기능들을 물리적인 연결에 상관없이 선택적으로 제공하기 위한 기술로써, 가상화 기반 네트워크 기술인 Network Function Virtualization(NFV)기반의 네트워크 환경에서 서비스 제공을 위한 주요 기술로 예상된다. 특히, 5G 모바일 코어 네트워크는 분산 코어 형태로 구축될 것으로 예상되기 때문에 본 논문에서는 이를 고려하여 계층적 SFC(hSFC: Hierarchical SFC) 구조를 적용하였다. 본 논문에서는 제안하는 구조 및 구조 내에서의 SFC를 이용한 경로 설정 메시지 절차를 정의하고 오픈소스 기반의 테스트베드 설계를 통해 이를 구현하고자 하였다.

• 한국응용과학기술학회지
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• 제37권3호
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• pp.409-417
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• 2020

본 연구는 서로 다른 운동유형이 당뇨처치 그룹의 베타 아밀로이드, BDNF 및 인지기능에 미치는 영향을 알아보기 위하여 24마리의 C57BL/6 쥐를 당뇨처치를 하지 않은 그룹 6마리(통제그룹: 6)와 당뇨처치 그룹 18마리로 무작위 할당하여, 이를 다시 당뇨처치 그룹의 경우 통제그룹 6마리, 유산소 운동그룹 6마리, 저항운동 그룹 6마리로 나누었고 운동그룹은 8주간 주 5회 저강도로 각각 트레드밀 운동과 사다리 운동을 실시하였다. 그 결과 베타아밀로이드는 8주 후 당뇨처치 그룹의 통제그룹(DM.G.)이 나머지 세 그룹에 비하여 높은 수준을 나타내었으나 통계적으로 유의한 차이는 나타나지 않았다. BDNF의 경우는 당뇨통제그룹이 나머지 세 그룹에 비하여 낮은 수준을 나타냈으며 통계적으로 유의한 차이를 나타냈다(p<.05). 인지기능을 알아보기 위한 Y-미로 검사에서도 당뇨통제 그룹이 나머지 세그룹에 비하여 낮은 수준을 보였으며 통계적으로도 유의한 차이를 나타냈다(p<.05).