• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2008.04a
• /
• pp.121-124
• /
• 2008

We will establish common fixed point theorem and example for four self maps in intuitionistic fuzzy metric space.

• The korean journal of orthodontics
• /
• v.38 no.2
• /
• pp.121-132
• /
• 2008

Objective: The purpose of this study was to evaluate the upper airway dimensional change according to maxillary superior movement after orthognathic surgery and to identify the relationship between the amount of maxillary movement and upper airway dimensional changes. Methods: The samples consisted of 24 adult patients (9 males and 15 females) who had a skeletal discrepancy and had received presurgical orthodontic treatment. They underwent Le Fort I superior impaction osteotomy and mandibular setback surgery. Cephalometric x-rays were taken at 3 stages - T0 (before orthognathic surgery), T1 (just or within 2 weeks after orthognathic surgery), T2 (6 months after surgery) Results: 1, Pharyngeal airway space (PAS (R)-nasopharynx) was decreased after surgery (T1) but recovered at 6 months after surgery; 2, Pharyngeal airway space (PAS (NL)-palatal plane) was increased after surgery and at 6 months after surgery; 3, Pharyngeal airway space (PAS (OL)-occlusal plane) was increased at T1 and was decreased at T2; 4, Soft palate thickness was increased at T1 but it became the same or thinner at T2; 5, There is no statistically significant relation between the amount of maxillary superior movement and pharyngeal airway space. Conclusions: These findings suggested that the maxillary superior movement of about an average of $4.40{\pm}1.14 mm$ did not affect upper pharyngeal airway space changes.

• Journal of the Chungcheong Mathematical Society
• /
• v.3 no.1
• /
• pp.103-110
• /
• 1990

Let K be a nonempty weakly compact convex subset of a Banach space X and T : K ${\rightarrow}$ C(X) a nonexpansive mapping satisfying $P_T(x){\cap}clI_K(x){\neq}{\emptyset}$. We first show that if I - T is semiconvex type then T has a fixed point. Also we obtain the same result without the condition that I - T is semiconvex type in a Banach space satisfying Opial's condition. Lastly we extend the result of [5] to the case, that T is an 1-set contraction mapping.

• Journal of the Chungcheong Mathematical Society
• /
• v.36 no.1
• /
• pp.13-23
• /
• 2023

In this paper, we show that for an isometry on a Banach space the analytic spectral subspace coincides with the algebraic spectral subspace. Using this result, we have the following result. Let T be a bounded linear operator with property (δ) on a Banach space X. And let S be an isometry on a Banach space Y . Then every generalized intertwining linear operator θ : X → Y for (S, T) is continuous if and only if the pair (S, T) has no critical eigenvalue.

• Journal of Physiology & Pathology in Korean Medicine
• /
• v.16 no.5
• /
• pp.851-856
• /
• 2002

All creatures are living in the space and time. As the space and time are prior to experience, they are preconditions for an incident to happen and preconditions for each other to coexist as well. Therefore, time can be recognized through the change of space and the space can be understood by the passage of time. In western philosophy, the space was understood as an object, place, interval, mind and etc. In oriental philosophy, even though one space is just a part of bigger space, the space may represent the universal space, and the various spaces are no more than a space. The space itself doesn't have any color, form, beginning and end, or liu-he(六合). However, it is the biggest concept that we can find everywhere. In order to understand the space, we need to find our position by expressing subjective positions like above and below, left and right, before and after, and objective positions like high and low, east and west, south and north. In oriental philosophy, the sun is the standard point in finding position; its front side is south, the backside is north, the left side is east, the right side is west, the upper side is south and the lower side north. Based on the finding position which is stated above and by taking each characteristics of he-luo-xi-wen(河洛羲文) and interrelations among them, the space can be modeled. Followings are the results obtained from this study: Tian doesn't fill in west and north. Di doesn't fill in east and south. Tian-dao(天道) turns to left, and Di-dao(地道) turns to right. There is no direct way to get to Dui-chong-fang without passing by Zhong-gong(中宮). The solid figure of eighty-one Bian-ju(變局) and sixty-four Gua-tu(卦圖).

• The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
• /
• v.17 no.3
• /
• pp.249-256
• /
• 1988

The purpose of this paper is to research the estimations of the indoor natural temperature in a case of the earth sheltered space and the 1st basement room in comparison with a conventional housing. The result of this study can be summerized as follows: The natural temperature of the earth sheltered house Summer : $${\theta}es=27.0+1.65sin(2{\pi}/24{\cdot}T-1.34)$$ Winter : $${\theta}ew=11.5+1.15sin(2{\pi}/24{\cdot}T-1.61)$$ The natural temperature of the 1st basement space Summer : $${\theta}us=25.5+1.00sin(2{\pi}/24{\cdot}T-1.72)$$ Winter : $${\theta}uw=13.9+1.10sin(2{\pi}/24{\cdot}T-2.29)$$ From the results of the stated above, we can calculate the cooling and heating load in the earth sheltered house and the underground space exactly and easily at Taejeon City.

• Korean Journal of Mathematics
• /
• v.8 no.2
• /
• pp.163-172
• /
• 2000

Let $\mathcal{S}^{\prime}(\mathbb{R})$ be the dual of the Schwartz spaces $\mathcal{S}(\mathbb{R})$), A be a self-adjoint operator in $L^2(\mathbb{R})$ and ${\Gamma}(A)^*$ be the adjoint operator of ${\Gamma}(A)$ which is the second quantization operator of A. It is proven that under a suitable condition on A there exists a nuclear subspace $\mathcal{S}$ of a fundamental space $\mathcal{S}_A$ of Hida's type on $\mathcal{S}^{\prime}(\mathbb{R})$) such that ${\Gamma}(A)\mathcal{S}{\subset}\mathcal{S}$ and $e^{-t{\Gamma}(A)}\mathcal{S}{\subset}\mathcal{S}$, which enables us to show that a stochastic differential equation: $$dX(t)=dW(t)-{\Gamma}(A)^*X(t)dt$$, arising from the central limit theorem for spatially extended neurons has an unique solution on the dual space $\mathcal{S}^{\prime}$ of $\mathcal{S}$.

• Honam Mathematical Journal
• /
• v.35 no.4
• /
• pp.707-716
• /
• 2013

The present paper consists of two parts. Since the recent paper [4] proved that an Alexandroff $T_0$-space is a semi-$T_{\frac{1}{2}}$-space, the first part studies semi-open and semi-closed structures of the Khalimsky nD space. The second one focuses on the study of a relation between the LS-property of ($SC^{n_1,l_1}_{k_1}{\times}SC^{n_2,l_2}_{k_2}$, k) relative to the simple closed $k_i$-curves $SC^{n_i,l_i}_{k_i}$, $i{\in}\{1,2\}$ and its normal k-adjacency. In addition, the present paper points out that the main theorems of Boxer and Karaca's paper [3] such as Theorems 4.4 and 4.7 of [3] cannot be new assertions. Indeed, instead they should be attributed to Theorems 4.3 and 4.5, and Example 4.6 of [10].

• Proceedings of the KSRS Conference
• /
• 2007.10a
• /
• pp.489-492
• /
• 2007

At COMS SOC, 13m antenna system will serve to transmit command and receive telemetry in S-Band for COMS operation. In addition, Sensor Data and LRIT/HRIT in L-Band will be received and LRIT/HRIT in S-Band will be transmitted through this antenna system. In many cases, G/T is used as barometer to estimate the receiving capability of antenna system. To estimate G/T, this paper presents two approaches, one is analysis based on the specification of antenna and RF equipment while the other is measurement by using Sun. From the results, G/T was proven as more than 20dB/K and it means that the required G/T, 19dB/K is verified successfully.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.5
• /
• pp.1117-1127
• /
• 2019

Let ${\mathcal{L}}_2=(-{\Delta})^2+V^2$ be the $Schr{\ddot{o}}dinger$ type operator, where nonnegative potential V belongs to the reverse $H{\ddot{o}}lder$ class $RH_s$, s > n/2. In this paper, we consider the operator $T_{{\alpha},{\beta}}=V^{2{\alpha}}{\mathcal{L}}^{-{\beta}}_2$ and its conjugate $T^*_{{\alpha},{\beta}}$, where $0<{\alpha}{\leq}{\beta}{\leq}1$. We establish the $(L^p,\;L^q)$-boundedness of operator $T_{{\alpha},{\beta}}$ and $T^*_{{\alpha},{\beta}}$, respectively, we also show that $T_{{\alpha},{\beta}}$ is bounded from Hardy type space $H^1_{L_2}({\mathbb{R}}^n)$ into $L^{p_2}({\mathbb{R}}^n)$ and $T^*_{{\alpha},{\beta}}$ is bounded from $L^{p_1}({\mathbb{R}}^n)$ into BMO type space $BMO_{{\mathcal{L}}1}({\mathbb{R}}^n)$, where $p_1={\frac{n}{4({\beta}-{\alpha})}}$, $p_2={\frac{n}{n-4({\beta}-{\alpha})}}$.