• 제목/요약/키워드: $Fix_F(L)$

검색결과 11건 처리시간 0.023초

SYMMETRIC BI-(f, g)-DERIVATIONS IN LATTICES

  • Kim, Kyung Ho;Lee, Yong Hoon
    • 충청수학회지
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    • 제29권3호
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    • pp.491-502
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    • 2016
  • In this paper, as a generalization of symmetric bi-derivations and symmetric bi-f-derivations of a lattice, we introduce the notion of symmetric bi-(f, g)-derivations of a lattice. Also, we define the isotone symmetric bi-(f, g)-derivation and obtain some interesting results about isotone. Using the notion of $Fix_a(L)$ and KerD, we give some characterization of symmetric bi-(f, g)-derivations in a lattice.

ON SYMMETRIC BI-GENERALIZED DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

  • Kim, Kyung Ho
    • 충청수학회지
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    • 제32권2호
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    • pp.179-189
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    • 2019
  • In this paper, we introduce the notion of symmetric bi-generalized derivation of lattice implication algebra L and investigated some related properties. Also, we prove that a map $F:L{\times}L{\rightarrow}L$ is a symmetric bi-generalized derivation associated with symmetric bi-derivation D on L if and only if F is a symmetric map and it satisfies $F(x{\rightarrow}y,z)=x{\rightarrow}F(y,z)$ for all $x,y,z{\in}L$.

ON GENERALIZED SYMMETRIC BI-f-DERIVATIONS OF LATTICES

  • Kim, Kyung Ho
    • 충청수학회지
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    • 제35권2호
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    • pp.125-136
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    • 2022
  • The goal of this paper is to introduce the notion of generalized symmetric bi-f-derivations in lattices and to study some properties of generalized symmetric f-derivations of lattice. Moreover, we consider generalized isotone symmetric bi-f-derivations and fixed sets related to generalized symmetric bi-f-derivations.

휨 구조시스템의 구조디자인적 구성요소와 디자인 조합 수법 분석 (A Study on Design Methods and the Composition Elements in Flexure Structure Systems)

  • 이주나
    • 한국공간구조학회논문집
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    • 제16권1호
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    • pp.73-84
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    • 2016
  • This study analyzes the four composition elements : profile, anchorage and connection, material and member rigidity, stability, as the main composition design elements of flexure structure systems, in order to explore possibilities for more various structure designs in architectures with flexure structure system. It also examines typical design methods that use the mentioned four composition elements. At the results, this research presents an understanding of the differences between funicular shape and non-funicular shape and mechanical features of the shapes in the profile element, regarding to the ratio of rise height to span length(f/l). Also, the typical design methods are presented for the designable usages of the hinge joints and the fix joints, and for the applications of member rigidity expressed by the index of the ratio of member depth to span length(d/l). And it was presented that connection styles, addition of brace members, placement of shear walls are the main design methods in the stability element. This data would be useful to architectural designs concerning integrated design with structures.

RETRIEVAL OF LOCAL INTERPLANETARY DUST EMISSIVITY BY ASTRO-F

  • HONG S. S.;KWON S. M.;PYO J.;UENO M.;ISHIGURO M.;USUI F.;WEINBERG J. L.
    • 천문학회지
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    • 제37권4호
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    • pp.159-169
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    • 2004
  • This is a proposal to probe local part of the interplanetary dust (IPD) cloud complex and retrieve mean volume emissivity of the local IPDs at mid-infrared wavelengths. This will be done by monitoring, with Infrared Camera (IRC) aboard the ASTRO-F, the annual modulation of the zodiacal emission. In pointing mode of the ASTRO-F mission the spacecraft can make attitude maneuvering over approximately ${\pm}1^{\circ}$ range centered at solar elongation $90^{\circ}$ in the ecliptic plane. The attitude maneuvering combined with high sensitivity of the IRC will provide us with a unique opportunity observationally to take derivatives of the zodiacal emission brightness with respect to the solar elongation. From the resulting differential of the brightness over the ${\pm}1^{\circ}$ range, one can directly determine the mean volume emissivity of the local IPDs with a sufficient accuracy to de-modulate the annual emissivity variations due to the Earth's elliptical motion and the dis-alignment of the maximum IPD density plane with respect to the ecliptic. The non-zero eccentricity ($e_{\oplus}$= 0.0167) of the Earth's orbit combined with the sensitive temperature dependence of the Planck function would bring modulations of amplitude at least $3.34\%$ to the zodiacal emission brightness at mid-infrared wavelengths, with which one may determine the IPD temperature T(r) and mean number density n(r) as functions of heliocentric distance r. This will in turn fix the power-law exponent $\delta$ in the relation $T(r) = T_o(r/r_o)^{-\delta}$ for the dust temperature and v in $n(r) = n_o(r/r_o)^-v$ for the density. We discuss how one may de-couple the notorious degeneracy of cross-section, density, reference temperature $T_o$ and exponent $\delta$.

Mirrors and Optomechanical Structures Design and Analysis for Linear Astigma-tism Free Three Mirror System (LAF-TMS)

  • Park, Woojin;Hammar, Arvid;Lee, Sunwoo;Chang, Seunghyuk;Kim, Sanghyuk;Jeong, Byeongjoon;Kim, Geon Hee;Kim, Daewook;Pak, Soojong
    • 천문학회보
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    • 제43권2호
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    • pp.55.4-56
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    • 2018
  • Linear Astigmatism Free - Three Mirror System (LAF-TMS) is the linear astigmatism free off-axis wide field telescope with D = 150 mm, F/3.3, and $FOV=5.51^{\circ}{\times}4.13^{\circ}$. We report the design and analysis results of its mirrors and optomechanical structures. Tolerance allowance has been analyzed to the minimum mechanical tolerance of ${\pm}0.05mm$ that is reasonable tolerance for fabrication and optical alignment. The aluminum mirrors are designed with mounting flexure features for the strain-free mounting. From Finite Element Analysis (FEA) results of mounting torque and self-weight, we expect 33 - 80 nm RMS mirror surface deformations. Shims and the L-bracket are mounted between mirrors and the mirror mount for optical alignment. The mirror mount is designed with four light-weighted mechanical parts. It can stably and accurately fix mirrors, and it also suppresses some of stray light.

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제지슬러지에 대한 alum 처리 및 퇴비화에 따른 인 흡착능 변화 (Estimation of Phosphorus Adsorption Capacity of Alum-amended and Composted Paper Mill Sludge)

  • 이인복;장기운;박진면
    • 한국환경농학회지
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    • 제26권2호
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    • pp.124-130
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    • 2007
  • 제지슬러지(PMS)는 침전과정에서 alum을 사용함으로 인해 다량의 알루미늄을 함유하며, 그 결과 토양 시용시 종종 작물에 대한 인의 흡수를 제한하는 요인으로 작용한다. 본 연구는 그러한 제지슬러지의 인 흡착 특성을 조사하기 위하여 토양을 대조로 하여 alum을 처리하기 전과 후에 채취한 제지 슬러지 및 제지슬러지 퇴비(PMSC)를 대상으로 인 최대 흡착$(X_m)$과 흡착에너지 상수 $K_f$를 조사하였다. 토양의 인 최대흡착량은 800 ${\mu}g\;g^{-1}$인 반면, alum 처리 전 PMS는 47 $mg\;g^{-1}$, alum처리 후 PMS는 61 $mg\;g^{-1}$으로서 대조 토양에 비해 PMS의 인 흡착량은 현저하게 높고, alum 처리 후 인흡착능은 약 30% 증가하였다. 또한 퇴비화 후 PMS 퇴비의 최대 인 흡착능은68 $mg\;g^{-1}$으로서 퇴비화로 인하여 약 11%의 인 흡착능이 증가하였다. 인 흡착 계수인 $K_f$는 alum 처리 유무 간 큰 차이가 없었으나 퇴비화후에는 크게 증가하는 것으로 나타났다. 인 최대 흡착량$(X_m)$과 흡착에너지 상수 $K_f$를 고려한 이러한 결과들은 제지슬러지의 퇴비의 장기 혹은 과량시용이 작물에 대한 인의 흡수를 제한하는 요인으로 작용할 수 있음을 암시한다.