• 제목/요약/키워드: T/S

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WEYL'S THEOREM FOR ISOLOID AND REGULOID OPERATORS

  • Kim, An-Hyun;Yoo, Sung-Uk
    • 대한수학회논문집
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    • 제14권1호
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    • pp.179-188
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    • 1999
  • In this paper we find some classes of operators for which Weyl`s theorem holds. The main result is as follows. If T$\in$L(\ulcorner) satisfies the following: (ⅰ) Either T or T\ulcorner is reduced by each of its eigenspaces; (ⅱ) Weyl`s theorem holds for T; (ⅲ) T is isoloid, then for every polynomial p, Weyl`s theorem holds for p(T).

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ON T-FUZZY GROUPS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • 제9권2호
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    • pp.149-156
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    • 2001
  • We characterize some properties of $t$-fuzzy groups and $t$-fuzzy invariant groups and represent every subgroup S of a group X using the level set of $t$-fuzzy group constructed from S.

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ON BROWDER'S THEOREM

  • Lee, Dong Hark
    • Korean Journal of Mathematics
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    • 제10권1호
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    • pp.11-17
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    • 2002
  • In this paper we give several necessary and sufficient conditions for an operator on the Hilbert space to obey Browder's theorem. And it is shown that if S has totally finite ascent and $T{\prec}S$ then $f(T)$ obeys Browder's theorem for every $f{\in}H({\sigma}(T))$, where $H({\sigma}(T))$ denotes the set of all analytic functions on an open neighborhood of ${\sigma}(T)$.

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천연물 유래 물질이 감염성 질환에 미치는 영향과 효능 (Effects and Efficacy of Natural Product on Infectious Diseases of pseudomonas aeruginosa)

  • 박지원
    • 한국자원식물학회:학술대회논문집
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    • 한국자원식물학회 2020년도 추계국제학술대회
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    • pp.3-13
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    • 2020
  • Pseudomonas aeruginosa is a ubiquitous gram-negative bacterium causing serious infections. The P. aeruginosa T3SS is a syringe-like apparatus on the bacterial surface, with 4 effector toxins: ExoS, ExoT, ExoY, and ExoU. Here, we investigated the effect of ExoS and ExoT of the T3SS of P. aeruginosa K strain (PAK). The type three secretion system (T3SS) is a major virulence system of Pseudomonas aeruginosa (P. aeruginosa). The effector protein Exotoxin S (ExoS) produced by P. aeruginosa is secreted into the host cells via the T3SS. For the purpose of screening the inhibitors with regard to ExoS secretion, we developed the sandwich-type enzyme-linked immunosorbent assay (ELISA) system. PAK clinical strains induce proinflammatory cytokine production through the T3SS, and this involves NF-κB activation in pneumonia mouse models. We tried to confirm the role of the NF-κB transcription factor in ExoS- and ExoT-induced pneumonia mouse models. pro-inflammatory cytokines induction in response to ExoS and ExoT infection relied on NF-κB activation. Our findings highlight the roles of natural poduct in inhibiting proinflammatory cytokine expression during ExoS and ExoT exposure in PAK infections, paving the way for a novel therapeutic approach for the treatment of pulmonary infections.

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THE GENERALIZED INVERSE ${A_{T,*}}^{(2)}$ AND ITS APPLICATIONS

  • Cao, Chong-Guang;Zhang, Xian
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.155-164
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    • 2003
  • The existence and representations of some generalized inverses, including ${A_{T,*}}^{(2)},\;{A_{T,*}}^{(1,2)},\;{A_{T,*}}^{(2,3)},\;{A_{*,S}}^{(2)},\;{A_{*,S}}^{(1,2)}\;and\;{A_{*,S}}^{(2,4)}$, are showed. As applications, the perturbation theory for the generalized inverse {A_{T,S}}^{(2)} and the perturbation bound for unique solution of the general restricted system $A_{x}$ = b(dim(AT)=dimT, $b{\in}AT$ and $x{\in}T$) are studied. Moreover, a characterization and representation of the generalized inverse ${A_{T,*}}^{(2)}$ is obtained.

A central limit theorem for sojourn time of strongly dependent 2-dimensional gaussian process

  • Jeon, Tae-Il
    • 대한수학회지
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    • 제32권4호
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    • pp.725-737
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    • 1995
  • Let $X_t = (X_t^(1), X_t^(2))', t \geqslant 0$, be a real stationary 2-dimensional Gaussian process with $EX_t^(1) = EX_t^(2) = 0$ and $$ EX_0 X'_t = (_{\rho(t) r(t)}^{r(t) \rho(t)}), $$ where $r(t) \sim $\mid$t$\mid$^-\alpha, 0 < \alpha < 1/2, \rho(t) = o(r(t)) as t \to \infty, r(0) = 1, and \rho(0) = \rho (0 \leqslant \rho < 1)$. For $t > 0, u > 0, and \upsilon > 0, let L_t (u, \upsilon)$ be the time spent by $X_s, 0 \leqslant s \leqslant t$, above the level $(u, \upsilon)$.

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입력지연을 갖는 불확실 T-S 퍼지 시스템의 강인 디지털 확률적 안정화기 설계 (Making Robust Stochastic Stabilizer for Uncertain T-S fuzzy Systems with Input Delay)

  • 이호재;박진배;김정찬;주영훈
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 춘계 학술대회 학술발표 논문집
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    • pp.321-324
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    • 2003
  • 본 논문은 임의로 변화하는 입력지연을 갖는 불확실 T-S 퍼지 시스템의 강인 안정화를 논의한다. 임의로 변화하는 입력지연은 유한개의 상태를 갖는 마코프 확률과정으로 표현된다. 디지털 안정화기를 설계하기 위하여 연속시간 T-S 퍼지 시스템을 이산화하며 제어기의 입출력단에 영차의 샘플/홀드 함수를 가정한다. 이산화된 시스템은 확률적 과정에 따라 변화하는 도약 시스템으로 표현된다. 확률적 강인 안정가능성 조건은 선형 행렬 부등식의 현태로 표현된다.

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기술사업화를 위한 과학정책 프로세스 구축에 관한 연구 (A Study on Establishment of a Scientific Policy Process for Technology Commercialization)

  • 김대건;차훈;정신영;최상환;문경식
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2014년도 추계 학술논문 발표대회
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    • pp.216-217
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    • 2014
  • Science & Technology(S&T) is the most important thing to attain competitiveness in the 21st century. Our traditional S&T policies have been forcused on hardware infra structure. We should consider software of S&T to enhance effectiveness. S&T Should be had a correct understanding method of the creation for S&T culture. It implies that S&T policy should consider nonmaterial factors which include social, environmental and culture. Under this background, The purpose of this paper is to seek new S&T policy. Therefor this paper deals with how we can prepare for the future S&T policy and classify the change of S&T policy of korea. In addition, Recent construction sector integration and fusion technologies in various areas of research and planning system is being maintained by the system. Past experience of conservative management in this emerging technology-driven technology commercialization in management of technology through the convergence of various technologies and to find synergies to secure the future of construction technology because it is a need.

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T-S 퍼지 모델을 이용한 비선형 시스템의 퍼지 슬라이딩 모드 제어 (Fuzzy Sliding Mode Control of Nonlinear System Based on T-S Fuzzy Dynamic Model)

  • 유병국;양근호
    • 한국지능시스템학회논문지
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    • 제14권1호
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    • pp.112-117
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    • 2004
  • 본 논문에서는 Takagi-Sugeno(T-S) 퍼지 시스템 모델을 이용한 비선형 시스템의 퍼지 슬라이딩 모드제어방식을 제안한다. 이 방식에서는 하나의 T-S 퍼지 모델을 구성하는 각 선형 동력학의 입력 이득행렬을 단일화 하는 과정을 필요로 한다. 이 과정에서 생성되는 입력 불확실성은 슬라이딩 모드 제어의 외란에 대한 처리 방법으로 해결될 수 있다. 또한 기존의 T-S 퍼지 모델에 대한 제어방식에서 처리하지 못했던, 상태변수에 독립적이기 때문에 선형화되지 않는 비선형 항에 대한 문제를 해결할 수 있다. 제안된 제어시스템의 안정도를 보이며 제어 입력이 슬라이딩 평면에 대한 도달조건을 만족함을 보인다. 제안된 제어방식의 타당성과 제어기 설계과정을 보이기 위하여 역진자 시스템에 적용한 시뮬레이션 결과를 보인다.

OSCILLATORY BEHAVIOR AND COMPARISON FOR HIGHER ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES

  • Sun, Taixiang;Yu, Weiyong;Xi, Hongjian
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.289-304
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    • 2012
  • In this paper, we study asymptotic behaviour of solutions of the following higher order nonlinear dynamic equations $$S_n^{\Delta}(t,x)+{\delta}p(t)f(x(g(t)))=0$$ and $$S_n^{\Delta}(t,x)+{\delta}p(t)f(x(h(t)))=0$$ on an arbitrary time scale $\mathbb{T}$ with sup $\mathbb{T}={\infty}$, where n is a positive integer, ${\delta}=1$ or -1 and $$S_k(t,x)=\{\array x(t),\;if\;k=0,\\a_k(t)S_{{\kappa}-1}^{\Delta}(t),\;if\;1{\leq}k{\leq}n-1,\\a_n(t)[S_{{\kappa}-1}^{\Delta}(t)]^{\alpha},\;if\;k=n,$$ with ${\alpha}$ being a quotient of two odd positive integers and every $a_k$ ($1{\leq}k{\leq}n$) being positive rd-continuous function. We obtain some sufficient conditions for the equivalence of the oscillation of the above equations.