• Title/Summary/Keyword: 4-manifold

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A Study on the Spatial Organization of Special Classes in Elementary and Middle Schools(1) (특수학급(特殊學級) 공간구성(空間構成)에 관한 건축계획적(建築計劃的) 연구(硏究)(1) - 특수학급 학생들의 학습활동을 중심으로 -)

  • Choi, Byung-Kwan;Rieu, Ho-Seoup
    • Journal of the Korean Institute of Educational Facilities
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    • v.12 no.4
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    • pp.17-29
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    • 2005
  • The purpose of this study is to establish fundamental standards of architectural planning concerning special class facilities in order to offer the basic information on the appropriate spatial organization of the special classroom by looking at the relationship between learning activities and living activities and the existing spatial organization. At present, there are no proper architectural standards which correspond to special class children's handicap and it's various characteristics. The special classes are just using ordinary classrooms without a considerations of the children with manifold handicap. In this sense, this study deals with appropriate special class facilities corresponding to the various characteristics of children's handicap, the contacting activities of special children with ordinary children and finally proper environment for the mainstreaming education which special education pursues.

A STUDY ON (k, 𝜇)'-ALMOST KENMOTSU MANIFOLDS

  • Li, Jin;Liu, Ximin;Ning, Wenfeng
    • Honam Mathematical Journal
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    • v.40 no.2
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    • pp.347-354
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    • 2018
  • Let ${\mathcal{C}}$, ${\mathcal{M}}$, ${\mathcal{L}}$ be concircular curvature tensor, M-projective curvature tensor and conharmonic curvature tensor, respectively. We obtain that if a non-Kenmotsu ($k,{\mu}$)'-almost Kenmotsu manifold satisfies ${\mathcal{C}}{\cdot}{\mathcal{S}}=0$, ${\mathcal{R}}{\cdot}{\mathcal{M}}=0$ or ${\mathcal{R}}{\cdot}{\mathcal{L}}=0$, then it is locally isometric to the Riemannian product ${\mathds{H}}^{n+1}(-4){\times}{\mathds{R}}^n$.

Matrix Completion Algorithm for Internet of Things Localization (사물 인터넷의 최적화를 위한 행렬 완성 알고리듬)

  • Nguyen, Luong Trung;Shim, Byonghyo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2015.11a
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    • pp.4-7
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    • 2015
  • In this paper, we propose a matrix completion algorithm for Internet of Things (IoT) localization. The proposed algorithm recovers the Gram matrix of sensors by performing optimization over the Riemannian manifold of fixed-rank positive semidefinite matrices. We compute and show the closed forms of all the differentially geometric components required for applying nonlinear conjugate gradients combined with Armijo line search method. The numerical experiments show that the performance of the proposed algorithm in solving IoT localization is outstanding compared with the state-of-the-art matrix completion algorithms both in noise and noiseless scenarios.

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Joining of Lanthanum Chromite and Yttria Stabilized Zirconia in Sealing of Planar Solid Oxide Fuel Cell

  • Lee, You-Kee;Park, Jong-Wan
    • Korean Journal of Materials Research
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    • v.4 no.7
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    • pp.741-749
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    • 1994
  • The planar solid oxide fuel cell(SOFC) contains several ceramic materials depending on its structure and has rdfractory metal parts for manifolds, shrouds and current leads. Among ceramic materials for planar SOFC, joining of lanthanum chromite separator and yttria stabilized zirconia(YSZ) electoyte in planar SOFC stack to give strong gas tight seals is necessary for satisfactory operation and high performance. Nevertheless, for planar SOFC/sub s/, how to seal the cell stack and gas manifold remains as one of the unsolved problems. Therefore, in this study. we investigated the joining of sintered lanthanum chromite and YSZ pellets using unsintered lanthanum chromite green films as sealent. Scanning electron microscopy(SEM) and energy dispersive X-ray analysis(EDX) revealed that Ca in the sealing material diffused and dissolved into YSZ and sintered lanthanum chromite, and unsintered lanthanum chromite green films reacted with YSZ to from a new phase at the interface. Also, the densification of unsintered lanthanum chromite green films was inpeded by the Ca migration.

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Effect of Heat Treatments on the Steel Tube Hydroformabillity (열처리 영향도에 따른 강관 하이드로포밍 성형성 분석)

  • Park, Kwang-Soo;Kim, Bong-Joon;Moon, Young-Hoon
    • Journal of the Korean Society for Heat Treatment
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    • v.18 no.4
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    • pp.223-228
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    • 2005
  • Tube hydroforming provides a number of advantages over conventional stamping process, including fewer secondary operation, weight reduction, assembly simplification, adaptability to forming of complex structural components and improved structural strength and stiffness. It can produce wide range of products such as subframe, engine cradle, and exhaust manifold. In this study, the effect of the heat treatment conditions such as post seam annealing (PSA) and bright annealing (BA) on the ovality and hydro-formability of steel tubes has been investigated. Hydroformabilities have been estimated by the bulging heights obtained at various processing parameters such as internal pressure, axial feeding and heat treatment conditions. The ovality and forming height are strongly influenced by material properties after heat treatments.

SOME PROPERTIES OF $D^n$-GROUPS

  • Kim, In-Su
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.1-9
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    • 1989
  • In 1980 and 1983, it was proved that P $D^{2}$-groups are surface groups ([2], [3]). Since then, topologists have been positively studying about P $D^{n}$ -groups (or $D^{n}$ -groups). For example, let a topological space X have a right .pi.-action, where .pi. is a multiplicative group. If each x.memX has an open neighborhood U such that for each u.mem..pi., u.neq.1, U.cap. $U_{u}$ =.phi., this right .pi.-action is said to be proper. In this case, if X/.pi. is compact then (1) .pi.$_{1}$(X/.pi).iden..pi.(X:connected, .pi.$_{1}$: fundamental group) ([4]), (2) if X is a differentiable orientable manifold with demension n and .rho.X (the boundary of X)=.phi. then $H^{k}$ (X;Z).iden. $H_{n-k}$(X;Z), ([6]), where Z is the set of all integers.s.

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SASAKIAN 3-MANIFOLDS SATISFYING SOME CURVATURE CONDITIONS ASSOCIATED TO Ƶ-TENSOR

  • Dey, Dibakar;Majhi, Pradip
    • The Pure and Applied Mathematics
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    • v.28 no.2
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    • pp.143-153
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    • 2021
  • In this paper, we study some curvature properties of Sasakian 3-manifolds associated to Ƶ-tensor. It is proved that if a Sasakian 3-manifold (M, g) satisfies one of the conditions (1) the Ƶ-tensor is of Codazzi type, (2) M is Ƶ-semisymmetric, (3) M satisfies Q(Ƶ, R) = 0, (4) M is projectively Ƶ-semisymmetric, (5) M is Ƶ-recurrent, then (M, g) is of constant curvature 1. Several consequences are drawn from these results.

A Case Study on the Introduction of Warm-disease into Korea - Focusing on the Yeonleungjib - (온병학의 한국 전래에 관한 사례 연구 – 『연릉집』을 중심으로 -)

  • Park Hun-pyeong
    • Journal of Korean Medical classics
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    • v.37 no.2
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    • pp.1-10
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    • 2024
  • Objectives : The Wenyilun is the first specialized text on warm disease, written by Wuyouke from the Ming period in 1642. Methods : This paper examines the newly discovered manuscript of the Wenyilun called the Yeonreungjip, focusing on its bibliography and content. In addition, the original script of the Yeonreungjip was studied philologically. Results : 1. The Yeonreungjip was transcribed in the early 20th century. 2. The Jongbaegmuusan formula is a tried and tested prescription unique to Korea. 3. The original script of the Yeonreungjip is affiliated with the Chinese Liuchang edition. It is uncertain when this edition was introduced to Korea. 4. The contents of the Yeonreungjip referenced the Siququanshu edition series. Conclusions : In conclusion, the Yeonreungjip is the only transcribed version of the specialized Chinese warm disease text from the Joseon period that is known today. Its implication in the research of warm disease introduction to Korea is manifold.

THEORY OF HYPERSURFACES OF A FINSLER SPACE WITH THE GENERALIZED SQUARE METRIC

  • SONIA RANI;VINOD KUMAR;MOHAMMAD RAFEE
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.879-897
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    • 2024
  • The emergence of generalized square metrics in Finsler geometry can be attributed to various classification concerning (𝛼, 𝛽)-metrics. They have excellent geometric properties in Finsler geometry. Within the scope of this research paper, we have conducted an investigation into the generalized square metric denoted as $F(x,y)=\frac{[{\alpha}(x,y)+{\beta}(x,y)]^{n+1}}{[{\alpha}(x,y)]^n}$, focusing specifically on its application to the Finslerian hypersurface. Furthermore, the classification and existence of first, second, and third kind of hyperplanes of the Finsler manifold has been established.

A study on the identification of noise sources of the 4-cylinder gasoline engine by using acoustic intensity method (음향인텐시티법을 이용한 4기통 가솔린 엔진의 소음원 검출에 관한 연구)

  • Oh, J. E.
    • Journal of the korean Society of Automotive Engineers
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    • v.11 no.1
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    • pp.57-67
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    • 1989
  • Acoustic intensity method is applied to a 4-cylinder gasoline engine in order to identify the noise sources and the response characteristics. Acoustic intensity is analyzed by 1/3 octave band filter for each center frequency. Radiational characteristics of acoustic intensity at overall and the maximum intensity level are represented by using the contour and three-dimensional plot. It is verified that this method is effective to the assessment of engine noise. It can be found that the maximum intensity is radiated from the front side of the engine under idling condition and the right side of it under 2, 000 rpm running with no loading condition at overall level, and also that the maximum intensity is radiated from the oil pan and the intake and exhaust manifold at the center frequency of 100 Hz.

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