• 제목/요약/키워드: $Fix_a(X)$

검색결과 53건 처리시간 0.019초

VARIOUS CENTROIDS AND SOME CHARACTERIZATIONS OF CATENARY CURVES

  • Bang, Shin-Ok;Kim, Dong-Soo;Yoon, Dae Won
    • 대한수학회논문집
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    • 제33권1호
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    • pp.237-245
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    • 2018
  • For every interval [a, b], we denote by $({\bar{x}}_A,{\bar{y}}_A)$ and $({\bar{x}}_L,{\bar{y}}_L)$ the geometric centroid of the area under a catenary curve y = k cosh((x-c)/k) defined on this interval and the centroid of the curve itself, respectively. Then, it is well-known that ${\bar{x}}_L={\bar{x}}_A$ and ${\bar{y}}_L=2{\bar{y}}_A$. In this paper, we fix an end point, say 0, and we show that one of ${\bar{x}}_L={\bar{x}}_A$ and ${\bar{y}}_L=2{\bar{y}}_A$ for every interval with an end point 0 characterizes the family of catenaries among nonconstant $C^2$ functions.

ON FIXED POINTS ON COMPACT RIEMANN SURFACES

  • Gromadzki, Grzegorz
    • 대한수학회보
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    • 제48권5호
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    • pp.1015-1021
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    • 2011
  • A point of a Riemann surface X is said to be its fixed point if it is a fixed point of one of its nontrivial holomorphic automorphisms. We start this note by proving that the set Fix(X) of fixed points of Riemann surface X of genus g${\geq}$2 has at most 82(g-1) elements and this bound is attained just for X having a Hurwitz group of automorphisms, i.e., a group of order 84(g-1). The set of such points is invariant under the group of holomorphic automorphisms of X and we study the corresponding symmetric representation. We show that its algebraic type is an essential invariant of the topological type of the holomorphic action and we study its kernel, to find in particular some sufficient condition for its faithfulness.

Design of an 8x Four-group Inner-focus Zoom System Using a Focus Tunable Lens

  • Lee, Daye;Park, Sung-Chan
    • Journal of the Optical Society of Korea
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    • 제20권2호
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    • pp.283-290
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    • 2016
  • This study presents an 8x four-group inner-focus zoom lens with one-moving group for a compact camera by use of a focus tunable lens (FTL). In the initial design stage, we obtained the powers of lens groups by paraxial design based on thin lens theory, and then set up the zoom system composed of four lens modules. Instead of numerically analytic analysis for the zoom locus, we suggest simple analysis for that using lens modules optimized. After replacing four groups with equivalent thick lens modules, the power of the fourth group, which includes a focus tunable lens, is designed to be changed to fix the image plane at all positions. From this design process, we can realize an 8x four-group zoom system having one moving group by employing a focus tunable lens. The final designed zoom lens has focal lengths of 4 mm to 32 mm and apertures of F/3.5 to F/4.5 at wide and tele positions, respectively.

ON GENERALIZED DERIVATIONS OF BE-ALGEBRAS

  • Kim, Kyung Ho
    • 충청수학회지
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    • 제27권2호
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    • pp.227-236
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    • 2014
  • In this paper, we introduce the notion of a generalized derivation in a BE-algebra, and consider the properties of generalized derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by generalized derivations. Moreover, we prove that if d is a generalized derivation of a BE-algebra, every filter F is a d-invariant.

ON f-DERIVATIONS OF BE-ALGEBRAS

  • Kim, Kyung Ho;Davvaz, B.
    • 충청수학회지
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    • 제28권1호
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    • pp.127-138
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    • 2015
  • In this paper, we introduce the notion of f-derivation in a BE-algebra, and consider the properties of f-derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by f-derivations. Moreover, we prove that if d is a f-derivation of a BE-algebra, every f-filter F is a a d-invariant.

ON DERIVATIONS OF BE-ALGEBRAS

  • Kim, Kyung Ho;Lee, Sang Moon
    • 호남수학학술지
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    • 제36권1호
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    • pp.167-178
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    • 2014
  • In this paper, we introduce the notion of derivation in a BE-algebra, and consider the properties of derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by derivations. Moreover, we prove that if d is a derivation of BE-algebra, every filter F is a d-invariant.

급속응고한 Ag-X%Zn계 전기접점재료에 미치는 Sn함량의 영향 (The Effect of the Sn contents on Rapidly Solidified Ag-X%Zn Electric Contact Materials)

  • 김종규;장대정;주광일;이은호;엄승열;남태운
    • 한국주조공학회지
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    • 제28권4호
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    • pp.184-189
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    • 2008
  • Ag-Cd alloy has been widely used as an electrical contact material, since Ag-Cd alloy has a good wear resistance and stable contact resistance. But nowadays Ag-Cd alloy is not considered as electrical contact material any more due to detrimental effect on environments. Currently, active researches are being performed on ($Ag-SnO_2$ and $Ag-SnO_{2}-In_{2}O_{3}$) as an alternative solution which can fix the remaining environmental problems. However, $In_{2}O_{3}$ is relatively expensive and Ag-Sn alloy has low wear resistance. Our recent research results show that Ag-X%Zn-Y%Sn has similar physical and chemical properties. In the present study, so we tried to change and to optimize the Zn oxide content to over 6 wt% and Sn oxide content with 0.5, 1.0, 1.5 wt%. Results obtained from the experiments on the Ag-X%ZnO-Y%$SnO_2$ are discussed.

엑스선 촬영 시 보조도구 재료로써 탄소 섬유 강화 플라스틱의 유용성 (Usefulness of Carbon Fiber Reinforced Plastics as a Material of Auxiliary Tool for X-ray Imaging)

  • 문준호;구본열
    • 대한방사선기술학회지:방사선기술과학
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    • 제46권3호
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    • pp.197-205
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    • 2023
  • When taking X-rays, various auxiliary tools were used to fix a patient's exact shooting position and posture. In this study, we evaluated the usefulness of carbon fiber reinforced plastics(CFRP) 3K as a material of auxiliary tools by comparing poly methyl metha acrylate(PMMA), polycarbonate(PC), and CFRP 3K each of which has high radiolucency. X-ray radiolucencies were measured by stacking 1 mm panels of each material, and contrast to noise ratio(CNR) and signal to noise ratio(SNR) of images of each material were measured by comparing with None, which stands for images that are taken without any material. All three materials showed over 90% X-ray radiolucencies within 2 ㎜ thickness, and there was no significant difference. PC, PMMA and CFRP 3K had high CNR and SNR in order, and CFRP 3K showed the closest CNR and SNR to those of None. While taking X-rays, by using CFRP 3K material within 2 ㎜ thickness as a material of auxiliary tools, which are used to reduce re-shooting and X-ray exposure by fixing a patient's exact shooting position and posture and improve the quality of medical images, a high X-ray radiolucency of over 90% would be obtained, and the influence on the image could be minimized.

탄소섬유 앵커 X-브레이싱으로 보강된 철근콘크리트 기둥의 구조거동 및 내진보강 효과 (Retrofitting Effects and Structural Behavior of RC Columns Strengthened with X-Bracing Using Carbon Fiber Anchor)

  • 심종성;이강석;권혁우;김현중
    • 콘크리트학회논문집
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    • 제24권3호
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    • pp.323-331
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    • 2012
  • 이 논문에서는 콘크리트 기둥에 새로운 보강방법을 제시하여 반복하중에 대한 구조적인 성능시험을 하였다. 두 개의 콘크리트 기둥에 고성능 탄소섬유 다발을 이용하여 X자 형태의 보강을 실시하고, 기둥의 내부에 X-브레이싱을 고정하기 위해 기둥 단면을 천공하여 탄소섬유 다발을 기둥에 삽입한 후 탄소섬유로 단부를 감싸주는 새로운 보강방법인 탄소섬유 앵커 X-브레이싱 보강공법을 이용해 콘크리트 기둥의 구조성능과 보강효과를 시험을 통하여 규명하였다. 이를 위해 탄소섬유로 보강된 휨 파괴형 실험체 기둥과 전단 파괴형 실험체 기둥을 축소모형으로 각각 제작하였다. 휨과 전단저항 기둥에 대해 X-브레이스 보강 유, 무 실험체에 반복하중시험을 통해 기둥의 연성과 강도 보강효과를 확인하였다.