• 제목/요약/키워드: cyclic action

검색결과 181건 처리시간 0.021초

CONSTRUCTIVE PROOF FOR THE POSITIVITY OF THE ORBIT POLYNOMIAL On,2d(q)

  • Lee, Jaejin
    • Korean Journal of Mathematics
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    • 제25권3호
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    • pp.349-358
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    • 2017
  • The cyclic group $C_n={\langle}(12{\cdots}n){\rangle}$ acts on the set $(^{[n]}_k)$ of all k-subsets of [n]. In this action of $C_n$ the number of orbits of size d, for d | n, is $$O^{n,k}_d={\frac{1}{d}}{\sum\limits_{{\frac{n}{d}}{\mid}s{\mid}n}}{\mu}({\frac{ds}{n}})(^{n/s}_{k/s})$$. Stanton and White [6] generalized the above identity to construct the orbit polynomials $$O^{n,k}_d(q)={\frac{1}{[d]_{q^{n/d}}}}{\sum\limits_{{\frac{n}{d}}{\mid}s{\mid}n}}{\mu}({\frac{ds}{n}})[^{n/s}_{k/s}]_{q^s}$$ and conjectured that $O^{n,k}_d(q)$ have non-negative coefficients. In this paper we give a constructive proof for the positivity of coefficients of the orbit polynomial $O^{n,2}_d(q)$.

다중거동 복합형 감쇠장치를 적용한 철골골조의 내진성능실험 (Seismic Performance Test of a Steel Frame with Multi-action Hybrid Dampers)

  • 노지은;허석재;이상현
    • 한국지진공학회논문집
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    • 제23권1호
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    • pp.1-8
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    • 2019
  • In this study, the effectiveness of a multi-action hybrid damper (MHD) composed of lead rubber bearing (LRB) and friction pad was verified in terms of seismic performance improvement of a frame structure. The LRB and the friction elements are connected in series, so the LRB governs the intial small deformation and the friction determines large deformation behavior. Cyclic loading tests were conducted by using a half scale steel frame structure with the MHD, and the results indicated that the structure became to have the stable trilinear hysteresis with large initial stiffness and first yielding due to the LRB, and the second yielding due to the friction. The MHD could significantly increase the energy dissipation capacity of the structure and the hysteresis curves obtained by tests were almost identical to the analytically estimated ones.

GROUP ACTIONS IN A UNIT-REGULAR RING WITH COMMUTING IDEMPOTENTS

  • Han, Jun-Cheol
    • East Asian mathematical journal
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    • 제25권4호
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    • pp.433-440
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    • 2009
  • Let R be a ring with unity, X the set of all nonzero, nonunits of R and G the group of all units of R. We will consider some group actions on X by G, the left (resp. right) regular action and the conjugate action. In this paper, by investigating these group actions we can have some results as follows: First, if E(R), the set of all nonzero nonunit idempotents of a unit-regular ring R, is commuting, then $o_{\ell}(x)\;=\;o_r(x)$, $o_c(x)\;=\;\{x\}$ for all $x\;{\in}\;X$ where $o_{\ell}(x)$ (resp. $o_r(x)$, $o_c(x)$) is the orbit of x under the left regular (resp. right regular, conjugate) action on X by G and R is abelian regular. Secondly, if R is a unit-regular ring with unity 1 such that G is a cyclic group and $2\;=\;1\;+\;1\;{\in}\;G$, then G is a finite group. Finally, if R is an abelian regular ring such that G is an abelian group, then R is a commutative ring.

주기하중을 받는 골조강판벽의 실험연구 (Framed Steel Plate Wall subject to Cyclic Lateral Load)

  • 박홍근;곽재혁;전상우;김원기
    • 한국강구조학회 논문집
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    • 제16권6호통권73호
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    • pp.781-792
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    • 2004
  • 스티프너가 없는 얇은 강판을 사용한 골조강판벽 시스템에 대한 실험연구를 실시하였다. 1경간 3층의 골조강판벽에 주기횡하중을 재하하였으며, 주요한 실험 변수는 강판의 두께, 기둥의 강도이다. 실험결과를 이용하여 강판벽의 강도, 변형능력, 에너지 소산능력을 연구하였으며, 이를 토대로 골조강판벽의 파괴메카니즘을 분석하였다. 실험결과, 얇은 강판을 사용하는 골조강판벽은, 높은 강도, 낮은 연성능력, 캔틸레버거동특성을 나타내는 일반적인 가새골조나 스티프너 보강된 강판벽과는 여러 면에서 다른 거동특성을 나타낸다. 골조강판벽에서는 강판의 조기국부좌굴과 인장응력장 작용이 발생하면서, 전 층에 고르게 항복변형이 분포된다. 이로 인하여 변형형태는 휨변형과 전단변형의 복합형태를 나타내며, 우수한 강도 및 에너지 소산능력과 연성모멘트 골조에 버금가는 변형능력을 나타내었다. 그러나 일반적인 가새골조와는 달리 보, 기둥 등의 골조부재는 강판의 인장응력장을 지지할 수 있도록 설계되어야 하며, 따라서 기둥의 강도가 작고 콤팩트 단면을 사용하지 않은 경우에는 약층현상이 발생하며 강도가 급격히 저하되었다. 얇은 강판을 사용하는 골조강판벽은 일반적인 가새골조나 스티프너 보강 강판벽과는 차별되는 우수한 변형능력을 갖고 있으므로 연성내진구조시스템으로 활용할 수 있다.

THE BOGOMOLOV-PROKHOROV INVARIANT OF SURFACES AS EQUIVARIANT COHOMOLOGY

  • Shinder, Evgeny
    • 대한수학회보
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    • 제54권5호
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    • pp.1725-1741
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    • 2017
  • For a complex smooth projective surface M with an action of a finite cyclic group G we give a uniform proof of the isomorphism between the invariant $H^1(G,\;H^2(M,\;{\mathbb{Z}}))$ and the first cohomology of the divisors fixed by the action, using G-equivariant cohomology. This generalizes the main result of Bogomolov and Prokhorov [4].

실험적 당뇨 백서에서 교정력에 의한 치조골의 Cyclic AMP의 변화에 관한 연구 (A STUDY ON THE CYCLIC AMP IN THE ALVEOLAR BONE OF RATS APPLIED BY ORTHODONTIC FORCES IN EXPERIMENTAL DIABETES AND INSULIN TREATMENT)

  • 백일수;손병화
    • 대한치과교정학회지
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    • 제16권2호
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    • pp.53-67
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    • 1986
  • The physical tooth movement by orthodontic force is based upon alveolar bone resorption at compression site and new bone formation at tension site of the alveolar socket. The function of the cyclic AMP is to participate not only in initial action of bone cells by mechanical forces but also in the continuous cellular response leading to bone remodelling. This experiment was performed to clarify the role of cyclic AMP in bone remodelling by mechanical force in the NORMAL group, the DIABETES group and the INSULIN TREATED group. The 72 rats were divided into the NORMAL group, the DIABETES group and the INSULIN TREATED group. The same orthodontic forces were applied to the rats of 3 groups. These rats were treated for periods of time ranging from 1 hour, 1 day, 7 days, 14 days, 21 days and 28 days. The samples of alveolar bones were obtained from compression and tension sites surrounding the tipping teeth from NORMAL, DIABETE and INSULIN TREATED rats. The samples were assayed for cyclic AMP by the cyclic AMP RIA kit. The results were as follows: 1. The cyclic AMP levels of alveolar bone in compression and tension sites showed initial decrease, then increased and .remained elevated by the time consuming. 2. The highest cyclic AMP level showed in the DIABETES group and the lowest level was in the NORMAL group. 3. The cyclic AMP levels in the INSULIN TREATED group was similar with the NORMAL group in control and tension sites, but in the compression sites it was similar with the DIABETES group.

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인삼(人蔘)이 백서심장(白鼠心臟)의 cyclic AMP함량(含量) 변화(變化)에 미치는 영향(影響)에 관(關)한 연구(硏究) (Study on the Effect of Ginseng on the cyclic AMP Content in the Rat Hearts)

  • 김낙두;차수만
    • 생약학회지
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    • 제13권4호
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    • pp.137-144
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    • 1982
  • It was previously reported from our laboratory that the rate of deterioration of the force of contraction was slower in heart from Panax ginseng extract treated rats. The study carried out to elucidate its mechanism of the action on hearts. The cyclic AMP content in the rat hearts was measured by the method of radioimmunoassay techniques. Panax ginseng extract (100mg/kg/day) was administered orally to male Sprague-Dawley rats weighing 150g to 250g for 1 week and after 24 hrs the hearts were isolated and the cyclic AMP content in the fresh heart was assayed. The difference in cyclic AMP content between the rats treated with Panax ginseng extracts and normal rats was not significant. Panax ginseng extract(l00mg/kg/day) was administered orally to the rats for I week and after 24 hrs the hearts were isolated and perfused with Krebs-Henseleit buffer (pH7.4) for 90min. The cyclic AMP content in the both treated and normal rats was not also significantly different. On the other hand, when total ginseng saponin (50mg/kg/day) was administered orally to rats for 1 week and after 24 hrs, the isolated hearts were perfused with Krebs Henseleit solution for 32min, the cyclic AMP content in total ginseng soponin treated hearts was decreased by 18.7% compared to normal rats. It was also observed that when isolated hearts were perfused with total ginseng saponin $(10^{-4}g/ml)$ for 12 min after 30 min equilibration period, the cyclic AMP content in total ginseng saponin treated hearts was decreased by 23.7% compared to normal rats. Isolated hearts were perfused with ginseng saponins $(10^{-4}g/ml)$ or with Krebs-Henseleit solution alone for 10min and subsequently with dl-isoproterenol $(1/2{\times}10^{-6}M)$ until the positive inotropic effect of isoproterenol was initiated. The cyclic AMP content in each rat hearts treated with total ginseng saponin, or with ginsenoside $Rb_1$, or with Krebs-Henseleit solution alone were increased by 35.5%, 42.4%, 47.5%, respectively, compared to normal rats.

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GS 283의 평활근 억제 작용기전 (Mechanisms Underlying the Inhibitory Effect of GS 283 in Various Smooth Muscles)

  • 김시환;이영수;정원석;장기철
    • 대한약리학회지
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    • 제30권1호
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    • pp.101-109
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    • 1994
  • Tetrahydroisoquinoline유도체인 GS 283의 약리학적 특성을 흰쥐 흉부대동맥, 기니픽 결장띠 및 토끼 장간막 동맥 및 흰쥐 뇌를 사용하여 조사하였다. 혈관 평활근에서 GS283은 고 $K^+$에 의한 수축을 농도 의존적으로 억제하여 $Ca^{2+}$ 길항작용을 보였다. 또한 ${alpha}_1$- 수용체 자극에 의한 수축도 억제하였다. GS 283의 혈관이완 작용은 propranolol영향을 받지 않으므로 ${\beta}$-수용체 자극작용에 의한 것이 아니었다. 세포내 칼슘이온과 근장력 변화를 동시에 측정하였을 때 GS 283의 억제효과는 조직내 형광의 증가를 수반했다. 이 증가는 fura 2형광에 의한것이 아니라 내인성 pyridine nucleotide에 의한 것이며 이는 GS 283이 미토콘드리아 기능을 억제하는 효과가 있음을 시사했다. 흰쥐 뇌의 cAMP와 cGMP 의존성 phosphodiesterase에 대한 GS 283의 $K_i$,값은 2.5와 6.7mM이었다. 이상의 결과에서 GS 283의 약리 작용은 $Ca^{2+}$ 길항작용, ${\alpha}_1$- 수용체억제 작용 및 cyclic nucleotide 의존성 phosphodiesterase 억제 등 다양한 작용이 있으며 평활근 수축 억제에 대한 GS283 작용에는 $Ca^{2+}$ 길항이 가장 중요한 요인이 될 것으로 생각된다.

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Reinforced concrete beam-column joints with lap splices under cyclic loading

  • Karabinis, Athanasios I.
    • Structural Engineering and Mechanics
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    • 제14권6호
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    • pp.649-660
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    • 2002
  • Experimental results are presented from tests conducted on reinforced concrete beam-column joints with lap splices under reversed cyclic loading simulating earthquake action. Response curves are compared for twenty-four specimens designed according to Eurocode 2. The main parameters of the investigation are, the geometry of the reinforcing bar extension, the applied axial load (normalized), the available cover over lap splice region extended as length required from Eurocode 2, as well as the shape and the volumetric percentage of the stirrups confining the lap splice zone. The results are evaluated with regards to the load intensity, the energy absorption capacity and the characteristics of the load deflection curve.

Calibration of model parameters for the cyclic response of end-plate beam-to-column steel-concrete composite joints

  • Nogueiro, Pedro;da Silva, Luis Simoes;Bento, Rita;Simoes, Rui
    • Steel and Composite Structures
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    • 제9권1호
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    • pp.39-58
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    • 2009
  • Composite joints, considering the composite action of steel and concrete, exhibit, in general, high strength and high ductility. As a consequence, the use of this type of joint has been increasing in many countries, especially in those that are located in earthquake-prone regions. In this paper, a hysteretic model with pinching is presented that is able to reproduce the cyclic response of steel and composite joints. Secondly, the computer implementation and adaptation of the model in a spring element within the computer code Seismosoft is described. The model is subsequently calibrated using a series of experimental test results for composite joints subjected to cyclic loading. Finally, typical parameters for the various joint configurations are proposed.