• 대한수학회지
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• 제58권5호
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• pp.1109-1129
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• 2021

This paper considers an anisotropic polytropic infiltration equation with a source term $$u_t={\sum\limits_{i=1}^{N}}{\frac{{\partial}}{{\partial}x_i}}\(a_1(x){\mid}u{\mid}^{{\alpha}_i}{\mid}u_{x_i}{\mid}^{p_i-2}u_{x_i}\)+f(x,t,u)$$, where p_i > 1, α_i > 0, a_i(x) ≥ 0. The existence of weak solution is proved by parabolically regularized method. Based on local integrability $u_{x_i}{\in}W_{loc}^{1,p_i}(\Omega)$, the stability of weak solutions is proved without boundary value condition by the weak characteristic function method. One of the essential characteristics of an anisotropic equation different from an isotropic equation is found originally.

• 대한수학회지
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• 제59권5호
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• pp.911-926
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• 2022

Let u be a function on a locally finite graph G = (V, E) and Ω be a bounded subset of V. Let 𝜀 > 0, p > 2 and 0 ≤ λ < λ₁(Ω) be constants, where λ₁(Ω) is the first eigenvalue of the discrete Laplacian, and h : V → ℝ be a function satisfying h ≥ 0 and $h{\not\equiv}0$. We consider a perturbed Yamabe equation, say $$\{\begin{array}{lll}-{\Delta}u-{\lambda}u={\mid}u{\mid}^{p-2}u+{\varepsilon}h,&&\text{ in }{\Omega},\\u=0,&&\text{ on }{\partial}{\Omega},\end{array}$$ where Ω and ∂Ω denote the interior and the boundary of Ω, respectively. Using variational methods, we prove that there exists some positive constant 𝜀₀ > 0 such that for all 𝜀 ∈ (0, 𝜀₀), the above equation has two distinct solutions. Moreover, we consider a more general nonlinear equation $$\{\begin{array}{lll}-{\Delta}u=f(u)+{\varepsilon}h,&&\text{ in }{\Omega},\\u=0,&&\text{ on }{\partial}{\Omega},\end{array}$$ and prove similar result for certain nonlinear term f(u).

• 한국정밀공학회지
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• 제14권10호
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• pp.164-169
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• 1997

The aim of this paper is to present some results of sensitivity analysis in frequency domain. The sensitivity fonctions in frequency domain is not depend on the external excitation but depend on the frequency of the system's resonance. The sensitivity functions are determined as function of partial derivatives of system transfer functions taken with respect to system design parameters. The logarithmic sensitivity function is the dimensionless sensitivity funciton available, making it useful to compare the influence of various parameters on system variables. Two degree of fredom system is used to illustrate the procedure for sensitivity analysis proposed in this paper.

• 충청수학회지
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• 제37권2호
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• pp.57-66
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• 2024

In this paper, we study how the Hilbert polynomial, associated with a reduced closed subscheme X of codimension 2 in ℙ^N, reveals geometric information about X. Although it is known that the Hilbert polynomial can tell us about the scheme's degree and arithmetic genus, we find additional geometric information it can provide for smooth varieties of codimension 2. To do this, we introduce the concept of Gotzmann coefficients, which helps to extract more information from the Hilbert polynomial. These coefficients are based on the binomial expansion of values of the Hilbert function. Our method involves combining techniques from initial ideals and partial elimination ideals in a novel way. We show how these coefficients can determine the degree of certain geometric features, such as the singular locus appearing in a generic projection, for smooth varieties of codimension 2.

• 대한수학회논문집
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• 제27권2호
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• pp.257-264
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• 2012

Exton introduced 20 distinct triple hypergeometric functions whose names are $X_i$ (i = 1, ${\ldots}$, 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions $_0F_1$, $_1F_1$, a Humbert function ${\Psi}_1$, and a Humbert function ${\Phi}_2$. The object of this paper is to present 18 new integral representations of Euler type for the Exton hypergeometric function $X_8$, whose kernels include the Exton functions ($X_2$, $X_8$) itself, the Horn's function $H_4$, the Gauss hypergeometric function $F$, and Lauricella hypergeometric function $F_C$. We also provide a system of partial differential equations satisfied by $X_8$.

• 대한치과보철학회지
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• 제21권1호
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• pp.67-72
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• 1983

Path of insertion(1) can be defined that the direction of movement of an appliance from the point of initial contact of its rigid parts with the supporting teeth to the place of final rest. Krol(2) described that in the conventional path of insertion, all the rests are seated more or less simultaneously but in the use of the rotational path one segment of the partial denture is seated first then the remainder of the prosthesis is rotated into position. The rotational path of insertion is limited primarily to the tooth borne prosthesis. Its great advantages are the elimination of anterior clasps to improve ethetic and reduction of tooth coverage to minimize plaque accumulation. Either a rigid minor connector or proximal plate provides retention through its intimate contact with a proximal tooth surface below the height of contour as indicated at a o-degree tilt. A specially designed rest in conjunction with this retentive component satisfies the basic requirements of clasp design. The purpose of this study was a clinical evaluation of rotational path removable partial dentures. Author delivered rotational path removable partial dentures to three different cases of patients and evaluated function of the dentures, difficulties of removal and insertion of the dentures and supporting structures of the abutment teeth by means of clinical and X-ray examinations for eighteen months. According to the examination data author came to the conclusion that the prognosis of the rotational path removable partial dentures was excellent.

• 대한치과보철학회지
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• 제9권1호
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• pp.17-22
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• 1969

Intra-oral films of 155 patients were taken on the areas of Gold Crown-Bridges, S. P. Bridges and Partial Dentures. And the author observed periodontal ligaments widening rates, the presence of periapical lesions and the alveolar bone patterns on the Partial Denture Saddle portions. The results were as follows : 1. Periodontal ligaments a) Periodontal ligaments widening rate increased obviously with the duration of wearing those prosthetic appliances. b) Periodontal ligaments widening rate was the highest in partial denture wearing patients, and then that of S. P. Crown Bridge patients, Gold Crown Bridge wearing females, Gold Crown Bridge males were the sequences. 2. Periapical lesions a) Periapical lesions increased with the wearing duration of those prosthetic appliances. But they did not increase in proportion to the duration. Periapical lesions were about the same in the teeth with those appliances showing relatively higher rate in Partial Denture abutment teeth and the lowest in Gold-Bridge abutment teeth. 3. Alveolar bone of Partial Denture saddle portion One third of all(32%) were normal with their smooth and compact bone pattern so that they were considered to perform normal function.

• 구강회복응용과학지
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• 제30권1호
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• pp.45-52
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• 2014

진단과 치료계획의 수립은 건강한 구강조직을 유지하고 구강 내에서 잘 기능하는 국소의치 제작을 위한 치료의 시작이며 치료예후를 좌우하는 매우 중요한 요소이다. 국소의치 환자들은 잔존치아의 수나 결손부의 위치, 교합상태, 구강조직의 건강 상태 등 여러 요소에 의해 환자마다 다양한 구강 조건을 가지고 있으므로, 각각의 환자에 맞는 국소의치 제작을 위해서는 진단과 치료계획을 수립하는 단계에서 충분한 정보를 취득하는 과정이 필요하다. 특히, 방사선 사진이나 진단모형의 분석을 통해 국소의치의 지대치를 선정하고 모형의 써베잉을 시행하여 구강형성여부와 보철물의 생역학적 설계를 결정하는 것은 성공적인 국소의치 치료를 위한 필수요건이므로 이러한 과정을 이해하고 임상적으로 적용할 수 있어야 한다.

• 구강회복응용과학지
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• 제30권2호
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• pp.152-158
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• 2014

저작기능의 회복과 더불어 환자에게 편안함을 제공하며 잔존치아와 치조점막을 건강하게 유지할 수 있는 가철성 국소의치 제작을 위해서는 구강내의 형태적, 기능적 상태를 재현하는 모형제작이 필수적이다. 국소의치 제작을 위해서는 진단모형과 주모형의 제작이 필요하며 이를 위해서 예비인상과 최종인상 채득 과정을 거치게 된다. 국소의치의 인상채득은 고정성이나 총의치 인상과 다르게 치아부위와 조직부위 모두가 잘 인기되어야 하고 치아 결손 부위에 따라 교합을 지지하는 부위가 달라지므로 증례에 따른 적절한 인상재와 인상채득 방법에 대한 이해를 바탕으로 정확한 임상적 적용이 요구된다.

• 구강회복응용과학지
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• 제37권1호
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• pp.39-47
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• 2021

의치의 금속구조물을 selective laser melting을 통하여 제작하는 경우 기존의 제작 방식에 비해 여러 기공 과정이 생략되어 시간이 절약되고 간편해진다. 또한 균질한 밀도의 금속구조물을 얻을 수 있어 우수한 기계적 성질, 특히 피로 파절에 대한 높은 저항성을 기대할 수 있다. 본 증례에서는 부분 무치악 환자에서 기존의 방식으로 최종인상을 채득하여 주모형을 제작하였고 이를 스캔하여 데이터화 하였다. 스캔 데이터 상에서 금속구조물을 디자인한 뒤 selective laser melting 방식으로 가철성 국소의치를 제작하였으며 기능적 및 심미적으로 만족스러운 결과를 보였기에 이를 보고하는 바이다.