• 대한수학회보
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• 제51권5호
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• pp.1375-1397
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• 2014

In this paper we establish codimension reduction theorem for submanifolds of a (4m+3)-dimensional unit sphere $S^{4m+3}$ with Sasakian 3-structure and apply it to submanifolds of a quaternionic projective space.

• 대한수학회논문집
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• 제13권3호
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• pp.561-577
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• 1998

We study (n＋3)-dimensional contact three CR submanifolds of a Riemannian manifold with Sasakian three structure and investigate some characterizations of $S^{4r＋3}$(a) $\times$ $S^{4s＋3}$(b) ($a^2$＋ $b^2$=1, 4(r ＋ s) = n - 3) as a contact three CR sub manifold of a (4m＋3)-dimensional unit sphere.

• 대한수학회보
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• 제48권3호
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• pp.585-600
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• 2011

In this paper we derive an integral formula on an (n + 3)-dimensional, compact, minimal contact three CR-submanifold M of (p-1) contact three CR-dimension immersed in a unit (4m+3)-sphere $S^{4m+3}$. Using this integral formula, we give a sufficient condition concerning the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.

• 대한수학회지
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• 제44권2호
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• pp.373-391
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• 2007

We study an (n+3)($n\;{\geq}\;7-dimensional$ real submanifold of a (4m+3)-unit sphere $S^{4m+3}$ with Sasakian 3-structure induced from the canonical quaternionic $K\"{a}hler$ structure of quaternionic (m+1)-number space $Q^{m+1}$, and especially determine contact three CR-submanifolds with (p-1) contact three CR-dimension under the equality conditions given in (4.1), where p = 4m - n denotes the codimension of the submanifold. Also we provide necessary conditions concerning sectional curvature in order that a compact contact three CR-submanifold of (p-1) contact three CR-dimension in $S^{4m+3}$ is the model space $S^{4n_1+3}(r_1){\times}S^{4n_2+3}(r_2)$ for some portion $(n_1,\;n_2)$ of (n-3)/4 and some $r_1,\;r_2$ with $r^{2}_{1}+r^{2}_{2}=1$.

• 대한수학회논문집
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• 제9권3호
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• pp.641-648
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• 1994

Let M be a minimally immersed closed hypersurface in $S^{n+1}$, II the second fundamental form and $S = \Vert II \Vert^2$. It is well known that if $0 \leq S \leq n$, then $S \equiv 0$ or $S \equiv n$ and totally geodesic hypersheres and Clifford tori are the only possible minimal hypersurfaces with $S \equiv 0$ or $S \equiv n$ ([6], [2]). From these results, Chern suggested some questions on the study of compact minimal hypersurfaces on the sphere with S =constant: what are the next possible values of S to n, and does in the ambient sphere\ulcorner By the way, S is defined extrinsically but, in fact, it is an intrinsic invariant for the minimal hypersurface, i.e., S = n(n-1) - R, where R is the scalar, curvature of M. Some partial answers have been obtained for dim M = 3: Assuming $M^3 \subset S^4$ is closed and minimal with S =constant, de Almeida and Brito [1] proved that if $R \geq 0$ (or equivalently $S \leq 6$), then S = 0, 3 or 6, Peng and Terng ([5]) proved that if M has 3 distint principal curvatures, then S = 6, and in [3] Chang showed that if there exists a point which has two distinct principal curvatures, then S = 3. Hence the problem for dim M = 3 is completely done. For higher dimensional cases, not much has been known and these problems seem to be very hard without imposing some more conditions on M.

• 대한수학회논문집
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• 제35권2호
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• pp.639-651
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• 2020

Consider a gradient Einstein-type metric in the setting of K-contact manifolds and (κ, µ)-contact manifolds. First, it is proved that, if a complete K-contact manifold admits a gradient Einstein-type metric, then M is compact, Einstein, Sasakian and isometric to the unit sphere 𝕊²ⁿ⁺¹. Next, it is proved that, if a non-Sasakian (κ, µ)-contact manifolds admits a gradient Einstein-type metric, then it is flat in dimension 3, and for higher dimension, M is locally isometric to the product of a Euclidean space 𝔼ⁿ⁺¹ and a sphere 𝕊ⁿ(4) of constant curvature +4.

• 대한의용생체공학회:학술대회논문집
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• 대한의용생체공학회 1997년도 춘계학술대회
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• pp.123-126
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• 1997

We present a method for the estimation of 3D solid angle assessment of the acetabular coverage of the femoral head in 3D space. At first, femoral head and acetabulum is segmented from the original CT scan images. The slice thickness is 1.5mm and the number of slices is usually 30-40 to cover the entire acetabulum. The superior half of the femoral head is modeled as part of a sphere. Thus, the axial cross sections of the upper half of the femoral head are also modeled as circles. A set of points from each outline image of femoral head is fitted recursively into a circle by minimizing root-mean-square (RMS) error. With these fitted circles, a center point of the femoral head model is evaluated. This is a reference point for calculating the solid angle of the acetabular inner surface. Next, the tangent lines connecting from a set of points of the acetabular edge to the center of the fitted sphere are obtained. The lines pass through the unit sphere whose center is the same as that of the femoral head. With the points on the unit sphere, we calculate area and estimate the solid angle. Based on this solid angle, the deformity of the acetabulum is analyzed. In case of normal subject, the solid angle is about 4.3 (rad) and acetabular coverage is 68%.

• 한국주거학회논문집
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• 제18권3호
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• pp.51-61
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• 2007

This study is aimed to provide a guide for PC use space in apartment. To achieve this, a design about PC use space which was considered adequate location, area, form was suggested. As methods of the study, survey research method and case study. The survey was taken by five hundred-eighty-nine people who used PCs in apartment from May 2005 to July 2005 in JeJu Special Self-governing Province for an analysis of data. The results of the survey were showed PC use space situation and furnitures layout patterns. The case was classified by unit plans of size, and it showed design example of PC use space. In types of $61{\sim}69$ square meters ($m^2$), PC use space was located in dead-space in the residence with minimum scale, because of $61{\sim}69$ square meters types are smaller than the other types. In types $100{\sim}129$ square meters, PC use space which was divided with a partition panel was located in the livingroom expanding the room space to the balcony. In types of 130 square meters, PC use space was located in the room of sons or daughters which was arranged with other furniture. The adequate area of PC use space is $1.4{\sim}2.2$ square meters, and it should take into account furniture size and human active sphere. And PC use space of form should consider traffic line, personal space and privacy. Besides it is required of ergonomic design in chair, table in its scale. And it is necessary development of systematic furniture for PC use space.

• 마이크로전자및패키징학회지
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• 제28권4호
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• pp.79-83
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• 2021

본 연구에서는 기존의 silicon alkoxide(tetraethyl orthosilicate, TEOS)에 비해 단가가 저렴하여 상업화에 유리한 물유리를 전구체로 사용하여 계면활성제의 농도에 따라 형성되는 다양한 크기의 실리카 중공 미세구(hollow silica microsphere, HSM)를 합성하였다. 계면활성제의 농도에 따른 실리카 중공 미세구의 형성에 대한 물성을 퓨리에 분광기(Fourier transform infrared spectrometer), 접촉각 측정기(contact angle measurement), Brunauer-Emmett-Teller 및 Barrett-Joyner-Halenda 분석기와 전계방사형 주사전자현미경(field emission scanning electron microscopy)를 이용하여 분석하였다. 계면활성제를 적정량의 농도로 투입하여 porou s한 물유리 기반 실리카 중공 미세구를 제조할 경우 비표면적은 169 m²/g, 평균 입자 크기 25.3 ㎛ 및 표준편차는 6.25로 우수한 실리카 중공 미세구가 형성됨을 확인하였다.

• 대한방사선치료학회지
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• 제17권2호
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• pp.87-94
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• 2005

목 적 : 공작실에서 block을 제작할 때 중금속이 사용된다. 이때 발생하는 중금속 분진 및 발연(發煙)은 인체에 위해를 준다. 이러한 중금속의 측정과 분석을 통해 심각성을 인식한다. 또한 그에 따른 해결방안을 강구하는 것이 논문의 목적이다. 대상 및 방법 : 논문에 사용되는 기구는 유도 결합 플라즈마 방출분광기이며, 대전 시내 4개 대학병원 방사선 종양학과 공작실(비스무스, 납, 주석, 카드뮴)을 대상으로 하였다. 실험방법은 ppb 단위로 포집하여 비교 분석하고, 체내 및 혈중 중금속 기준치를 통한 공기 중 중금속의 기준치를 계산하며 중금속 임시 기준치를 설정하였다. 결 과 : 지하생활공간 공기 질 관리법에서 정해진 납과 카드뮴의 기준치(24시간 기준)는 $3{\mu}g/m^3$과 $2{\mu}g/m^3$이다. 그리고 비스무스와 주석은 체내 및 혈중 기준치와 다른 중금속 기준치를 통해 $7{\mu}g/m^3$과 $6{\mu}g/m^3$로 정하였다. 대전지역 4개 대학병원 공작실 내부 중금속 측정치를 작업 유무에 따라 비교한다. 비작업 시에는 측정치 대부분이 기준치 이하로 나왔다. 하지만 작업을 하고 있을 경우에는 높은 수치를 나타났다. 또한 차폐체의 구성 비율에 따른 검출 비율의 연관성도 보였다. 결 론 : 작업종사자의 중금속 오염 심각성에 대한 해결방법은 근본적인 부분에서 찾아야 한다. 병원에서는 국소 배기장치의 설치 및 주기적 성능 점검, 보호구 제공 등이 시행되어져야 한다. 또한 작업자는 지속적인 관심과 위생관리, 중금속 오염에 대한 부분을 인식해야 한다. 마지막으로 학회 차원에서 기준치 설정 및 주기적인 측정을 통해 지속적으로 관리를 해야 한다. 그리고 정기적인 특수건강진단의 실시와 같은 근본적인 해결방안을 찾아야겠다.