• 제목/요약/키워드: regular splitting

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A LOWER BOUND FOR THE GENUS OF SELF-AMALGAMATION OF HEEGAARD SPLITTINGS

  • Li, Fengling;Lei, Fengchun
    • 대한수학회보
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    • 제48권1호
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    • pp.67-77
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    • 2011
  • Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M' = M - ${\eta}(F)$, where ${\eta}(F)$ is an open regular neighborhood of F in M. In the paper, we give a lower bound of genus of self-amalgamation of minimal Heegaard splitting $V'\;{\cup}_{S'}\;W'$ of M' under some conditions on the distance of the Heegaard splitting.

CDP 섬유의 염색성(III) -극세 CDP섬유의 염색성, Solvent wicking성 및 물성- (Dyeing Properties of CDP Fiber(III) - Dyeing and Solvent Wicking and Physical Properties of Micro CDP Fiber -)

  • 김영희;정동석;이문철
    • 한국염색가공학회지
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    • 제17권5호
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    • pp.1-12
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    • 2005
  • Polyester fibers can be modified into cationic dyeable polyester fibers(CDP) by the copolymerization of terephthalic acid and 5-sodium sulphoisophthalic acid with ethylene glycol. The advantage of CDP on most cationic dyes is the conspicuous brilliance due to a narrow steep absorption band and the wash fastness and etc. Weight reduction by alkali hydrolysis, dyeing and solvent wicking properties of fabrics with cationic dyes, and change of fine structure were investigated. To obtain optimum splitting process parameters for dyeing and physical properties of micro CDP fiber, splitting method under various conditions was carried out. By means of SEM, it was confirmed that the splitting process of the micro CDP fiber be achieved at the weight reduction. A comparatively greater quantity of dye is necessary to dye microfiber than conventional fiber. The fastness and solvent wicking of regular CDP fiber is higher than that of micro CDP fiber.

Note on the Codimension Two Splitting Problem

  • Matsumoto, Yukio
    • Kyungpook Mathematical Journal
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    • 제59권3호
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    • pp.563-589
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    • 2019
  • Let W and V be manifolds of dimension m + 2, M a locally flat submanifold of V whose dimension is m. Let $f:W{\rightarrow}V$ be a homotopy equivalence. The problem we study in this paper is the following: When is f homotopic to another homotopy equivalence $g:W{\rightarrow}V$ such that g is transverse regular along M and such that $g{\mid}g^{-1}(M):g^{-1}(M){\rightarrow}M$ is a simple homotopy equivalence? $L{\acute{o}}pez$ de Medrano (1970) called this problem the weak h-regularity problem. We solve this problem applying the codimension two surgery theory developed by the author (1973). We will work in higher dimensions, assuming that $$m{\geq_-}5$$.

MODIFLED INCOMPLETE CHOLESKY FACTORIZATION PRECONDITIONERS FOR A SYMMETRIC POSITIVE DEFINITE MATRIX

  • Yun, Jae-Heon;Han, Yu-Du
    • 대한수학회보
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    • 제39권3호
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    • pp.495-509
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    • 2002
  • We propose variants of the modified incomplete Cho1esky factorization preconditioner for a symmetric positive definite (SPD) matrix. Spectral properties of these preconditioners are discussed, and then numerical results of the preconditioned CG (PCG) method using these preconditioners are provided to see the effectiveness of the preconditioners.

PARALLEL BLOCK ILU PRECONDITIONERS FOR A BLOCK-TRIDIAGONAL M-MATRIX

  • Yun, Jae-Heon;Kim, Sang-Wook
    • 대한수학회지
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    • 제36권1호
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    • pp.209-227
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    • 1999
  • We propose new parallel block ILU (Incomplete LU) factorization preconditioners for a nonsymmetric block-tridiagonal M-matrix. Theoretial properties of these block preconditioners are studied to see the convergence rate of the preconditioned iterative methods, Lastly, numerical results of the right preconditioned GMRES and BiCGSTAB methods using the block ILU preconditioners are compared with those of these two iterative methods using a standard ILU preconditioner to see the effectiveness of the block ILU preconditioners.

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흐름이 존재하는 완경사 해역에서의 파랑변형-이론적 고찰 (Transformation of Regular Waves on Currents in Water of Slowly Varying Depth-Theoretical Study)

  • 채장원;정신택;엄대기;안한수
    • 한국해안해양공학회지
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    • 제1권1호
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    • pp.1-7
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    • 1989
  • 파랑이 완경사해역을 전파해 갈 때 흐름 및 수량변화에 의한 파의 굴절, 회절 등의 파랑변형현상을 나타낼 수 있는 완경사 파동방정식을 변분원리를 이용하여 유도하였다. 이 식은 쌍곡형방정식으로 Kirby(1984)의 식과 같다. 정상상태의 단순 규칙파에 대한 수치모형을 유한채분법을 이용하여 수립하였으며 이 모형은 개방해역에서 계산의 효율 및 정착도가 타모형에 비해 우수하다. 이암류와 규칙파의 상호작용 현상을 수치모형실험을 통해 상세하게 분석하였다.

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고강도 전단 보강근과 비폐쇄형 보강근의 혼용에 의한 RC보의 보강 효과 (U-shaped reinforcement for bond splitting prevention in RC beams)

  • 곽성근;이현아;윤혜선;김길희
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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    • pp.201-204
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    • 2006
  • The shear resistance of RC beams is subject to the amount of shear-reinforcing bars ($p_w$) and yield strength ($f_{wy}$) as well as their interactive influence ($p_wf_{wy}$). Thus, it is reasonably expected that high-strength steel bars can greatly reduce the necessary amount of shear-reinforcing bars. On the other hand, although the bond strength is influenced by the amount of shear reinforcing bars, it is not affected by the yield strength. Thus, there is often an issue that bond failure occurs before shear failure depending on the arrangement of shear reinforcing bars. It is a common practice to set sub-ties for the transverse confinement of the main re-bars as a method to prevent the bond failure. However, it can also become a factor in decreased work efficiency due to the complexity of the construction. This study experimented with simultaneous use of high-strength transverse reinforcing bars ($f_{wy}=800MPa$) and U-shaped transverse reinforcing bars of regular strength ($f_{wy}=300MPa$) in an attempt to decrease the necessary quantity of shear reinforcing bars. The effect of this attempt was investigated through fundamental experimental research in terms of the improvement in shear resistance and bond strength as well as the ease of construction.

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A Study on the Design of Accessories through the Concept of Reincarnation

  • Park, You Shin
    • 패션비즈니스
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    • 제21권6호
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    • pp.77-86
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    • 2017
  • This study aims to explore the unethical issues in leather processing and to develop designs of leather products based on the concept of reincarnation by ecosystem circulation. The method used in this research include the review of previous literature and the design process for development fashion accessories using waste leather. The design process comprises collecting waste leather, classifying waste leather by type, color, and size, and developing leather products according to line carnation method. For this research, the material was limited to waste cowhide leather collected from leather workshops and leather product factories. The leather pieces were divided into typical and atypical types and developed leather accessories based on the leather piece's color and size. A twill brooch, four-string bracelet, a brooch using the four-stringed leather strap and mini handbag designs were developed using regular type waste leather. An armband of abstract patterns and a cellphone case with graffiti pattern using irregular type over-splitting waste leather. The environmental issues in design are observed as part of understanding the significance of this study. Development of waste leather accessory can expand the usability of the waste leather as well as increase the product value by creating limited-line editions. By understanding the role and benefits of sustainable upcycling, this research suggests an efficient way to use waste materials in fashion to coexist with the natural environment.

Unified prediction models for mechanical properties and stress-strain relationship of dune sand concrete

  • Said Ikram Sadat;Fa-xing Ding;Fei Lyu;Naqi Lessani;Xiaoyu Liu;Jian Yang
    • Computers and Concrete
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    • 제32권6호
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    • pp.595-606
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    • 2023
  • Dune sand (DS) has been widely used as a partial replacement for regular sand in concrete construction. Therefore, investigating its mechanical properties is critical for the analysis and design of structural elements using DS as a construction material. This paper presents a comprehensive investigation of the mechanical properties of DS concrete, considering different replacement ratios and strength grades. Regression analysis is utilized to develop strength prediction models for different mechanical properties of DS concrete. The proposed models exhibit high calculation accuracy, with R2 values of 0.996, 0.991, 0.982, and 0.989 for cube compressive strength, axial compressive strength, splitting tensile strength, and elastic modulus, respectively, and an error within ±20%. Furthermore, a stress-strain relationship specific to DS concrete is established, showing good agreement with experimental results. Additionally, nonlinear finite element analysis is performed on concrete-filled steel tube columns incorporating DS concrete, utilizing the established stress-strain relationship. The analytical and experimental results exhibit good agreement, confirming the validity of the proposed stress-strain relationship for DS concrete. Therefore, the findings presented in this paper provide valuable references for the design and analysis of structures utilizing DS concrete as a construction material.

광영상 발생을 위한 화소형 위상격자의 설계 및 제작 (Design of pixelated phase gratings for optical image generation)

  • 이득주;김남;이권연;은재정
    • 전자공학회논문지A
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    • 제33A권5호
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    • pp.132-141
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    • 1996
  • The pixelated phase grating has been studied as a kind of diffraction gratings splitting and input beam into multiple spots. It consists of regular size cells which produce phase delays, and each cell provokes the phase delay up to sixteen levels. We have compared and analyzed the characteristics of multi-level phase gratings, laying streess on efficiency and resulted pattern. Experimental resutls obtained form fabricated grating have been presented, and the real-time method using a liquid-crystal spatial light modulator has been demonstrated through experiments. Gratings making meams with specific intensities have been designed and optical images have been generated by them. In order to specific intensities have been designed and optical images have been genrated by them. In order to decide the phase delay of each cell, optimization conditon consists of diffraction efficiency and target values. One period of phase gratings fabricated with surface relief was less than 256${\mu}m{\times}256{\mu}m$ and size of each cell was 1${\mu}m{\times}1{\mu}m$ surface relief grating has been made by coating photoresist on the glass plate, writing information pattern by Ar laser and developing it. in the experiment for real-tiem processing liquid-crystal display of epson video projector has been used.

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