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Spectral Properties of k-quasi-class A(s, t) Operators

  • Mecheri, Salah;Braha, Naim Latif
    • Kyungpook Mathematical Journal
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    • 제59권3호
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    • pp.415-431
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    • 2019
  • In this paper we introduce a new class of operators which will be called the class of k-quasi-class A(s, t) operators. An operator $T{\in}B(H)$ is said to be k-quasi-class A(s, t) if $$T^{*k}(({\mid}T^*{\mid}^t{\mid}T{\mid}^{2s}{\mid}T^*{\mid}^t)^{\frac{1}{t+s}}-{\mid}T^*{\mid}^{2t})T^k{\geq}0$$, where s > 0, t > 0 and k is a natural number. We show that an algebraically k-quasi-class A(s, t) operator T is polaroid, has Bishop's property ${\beta}$ and we prove that Weyl type theorems for k-quasi-class A(s, t) operators. In particular, we prove that if $T^*$ is algebraically k-quasi-class A(s, t), then the generalized a-Weyl's theorem holds for T. Using these results we show that $T^*$ satisfies generalized the Weyl's theorem if and only if T satisfies the generalized Weyl's theorem if and only if T satisfies Weyl's theorem. We also examine the hyperinvariant subspace problem for k-quasi-class A(s, t) operators.

번식우에 대한 rBST투여가 포유기 송아지의 비육과 설사 예방에 미치는 영향 (Effect of Administering Recombinant Bovine Somatotropin to Breeding Cows on Weight Gain and Prevention of Diarrhea in Suckling Calves)

  • 이경갑;류경표;이영재;정종태;김희석;김남중;장병선
    • 한국임상수의학회지
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    • 제16권2호
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    • pp.332-338
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    • 1999
  • This study was carried out to investigate weight gain and prevention of diarrhea in suckling calves which were injected with recombinant bovine somatopropin (rBST). A total of 101 breeding cows were assigned to the six groups according to the administered dosage and injected time, respectively. Groups T-1, T-3, T-4 and T-6 were injected starting 1 week before calving and groups T-2 and T-5 were injected on the calving day. The six groups were injected five times at two week intervals. Groups T-1 and T-2 were injected with 250mg composite rBST, Group T-3 was injected with 375 mg composite rBST. Groups T-4 and T-5 were injected with 500mg composite rBST, And group T-6 was injected with 500mg rBST-S. The control group was not injected with BST. The groups injected with 500 mg BrST had a lower rate of morbidity from diarrhea than the control group or the groups injected with 250 mg rBST (T-1 and T-2). Weight gain was higher in group T-4 than in the control group or groups T-1 and T-2. In Korean Native Cattle, the total weight gain was greater in group T-4 than in the control group (p<0.05). In crossbred cows, total weight gain was the highest in group T-4, and the total weight gain rate was greater than in group T-4 and the control group (p<0.05). The results of the hematological values showed that injections of rBST did not affect the level of the RBC, TP and BUN in the breeding cows at 9 weeks after postpartum or the neonatal calves. The results of this study indicate that injecting breeding cows with 500 mg rBST before calving would be effective in the preventing of diarrhea and in increasing weight gain of calves from birth to weaning.

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WEYL'S TYPE THEOREMS FOR ALGEBRAICALLY (p, k)-QUASIHYPONORMAL OPERATORS

  • Rashid, Mohammad Hussein Mohammad;Noorani, Mohd Salmi Mohd
    • 대한수학회논문집
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    • 제27권1호
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    • pp.77-95
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    • 2012
  • For a bounded linear operator T we prove the following assertions: (a) If T is algebraically (p, k)-quasihyponormal, then T is a-isoloid, polaroid, reguloid and a-polaroid. (b) If $T^*$ is algebraically (p, k)-quasihyponormal, then a-Weyl's theorem holds for f(T) for every $f{\in}Hol({\sigma}T))$, where $Hol({\sigma}(T))$ is the space of all functions that analytic in an open neighborhoods of ${\sigma}(T)$ of T. (c) If $T^*$ is algebraically (p, k)-quasihyponormal, then generalized a-Weyl's theorem holds for f(T) for every $f{\in}Hol({\sigma}T))$. (d) If T is a (p, k)-quasihyponormal operator, then the spectral mapping theorem holds for semi-B-essential approximate point spectrum $\sigma_{SBF_+^-}(T)$, and for left Drazin spectrum ${\sigma}_{lD}(T)$ for every $f{\in}Hol({\sigma}T))$.

VIABILITY FOR SEMILINEAR DIFFERENTIAL EQUATIONS OF RETARDED TYPE

  • Dong, Qixiang;Li, Gang
    • 대한수학회보
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    • 제44권4호
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    • pp.731-742
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    • 2007
  • Let X be a Banach space, $A:D(A){\subset}X{\rightarrow}X$ the generator of a compact $C_0-semigroup\;S(t):X{\rightarrow}X,\;t{\geq}0$, D a locally closed subset in X, and $f:(a,b){\times}C([-q,0];X){\rightarrow}X$ a function of Caratheodory type. The main result of this paper is that a necessary and sufficient condition in order that D be a viable domain of the semi linear differential equation of retarded type $$u#(t)=Au(t)+f(t,u_t),\;t{\in}[t_0,\;t_0+T],{u_t}_0={\phi}{\in}C([-q,0];X)$$ is the tangency condition $$\limits_{h{\downarrow}0}^{lim\;inf\;h^{-1}d(S(h)v(0)+hf(t,v);D)=0}$$ for almost every $t{\in}(a,b)$ and every $v{\in}C([-q,0];X)\;with\;v(0){\in}D$.

클라우드 환경에서 서로 다른 IoT 장치간 효율적인 접근제어 기법 (An efficient access control techniques between different IoT devices in a cloud environment)

  • 정윤수;한군희
    • 한국융합학회논문지
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    • 제9권4호
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    • pp.57-63
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    • 2018
  • IoT 장치는 클라우드 환경에서 다양한 역할과 기능을 수행할 수 있도록 여러 분야에서 사용되고 있다. 그러나, IoT 장치를 안정적으로 제어할 수 있는 접근제어에 대한 방안은 아직 구체적으로 제시되고 있지 않은 상황이다. 본 논문에서는 클라우드 환경에서 사용되고 있는 IoT 장치의 안정적인 접근을 수행할 수 있는 계층적 기반의 다단계 속성 접근제어 기법을 제안한다. 제안 방법은 IoT 장치의 원활한 접근을 돕기 위해서 IoT Hub을 두어 IoT 장치에 고유한 ID 키(보안 토큰)를 제공할 뿐만 아니라 수 있도록 하는 X.509 인증서 및 개인 키를 IoT Hub에서 인증하도록 하여 IoT 장치의 개인키를 IoT 장치 외부에서 알 수 없도록 하였다. 성능평가 결과, 제안방법은 기존 기법보다 인증 정확도가 평균 10.5% 향상되었으며 처리 시간도 14.3% 낮은 결과를 얻었다. IoT 속성 수에 따른 IoT Hub의 오버헤드는 기존 기법보다 9.1% 낮은 결과를 얻었다.

IoT 환경의 단말 인증 시스템 (Device Authentication System in IoT environment)

  • 강동연;전지수;한성화
    • 한국정보통신학회논문지
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    • 제27권1호
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    • pp.97-102
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    • 2023
  • IoT는 전통적인 정보 서비스뿐만 아니라 다양한 분야에서 활용되고 있다. 특히 스마트 홈, 스마트 해양, 스마트 에너지나 스마트 팜 등 많은 융합 IT 분야에서 IoT 기술을 활용하고 있다. IoT 기반 정보 서비스의 서버에 대하여, 지정된 프로토콜을 사용하는 IoT 단말은 신뢰된 객체이다. 그래서 악의적 공격자는 인가되지 않은 IoT device를 사용하여 IoT 기반 정보 서비스 접근, 인가되지 않은 중요 정보에 접근 후 이를 변조하거나 외부에 유출할 수 있다. 본 연구에서는 이러한 문제점을 개선하기 위하여 IoT 기반 정보 서비스에서 사용하는 IoT 단말 인증 시스템을 제안한다. 본 연구에서 제안하는 IoT 단말 인증 시스템은 MAC address 등의 식별자 기반 인증을 적용한다. 본 연구에서 제안하는 IoT 단말 인증 기능을 사용하면, 인증된 IoT 단말만 서버에 접근할 수 있다. 본 연구는 비인가 IoT 단말의 세션을 종료하는 방식을 적용하므로, 보다 안전한 단말 인증 방식인 접근 차단에 대한 추가연구가 필요하다.

Influence of various concentrations of aflatoxin B1 on in vitro rumen fermentation of a buffalo diet

  • Singh, Ram;Park, Sungkwon;Koo, Jin Su;Balasubramanian, Balamuralikrishnan
    • 농업과학연구
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    • 제47권1호
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    • pp.131-138
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    • 2020
  • The aim of this study was to evaluate the effect of aflatoxin B1 (AFB1) on in vitro rumen fermentation at various dose levels of 0 (T1), 100 (T2), 200 (T3), and 300 (T4) ppb in a wheat straw-based buffalo diet. The results show that the truly degradable dry matter, truly degradable organic matter, gas production, microbial biomass production and partitioning factor values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The total volatile fatty acids, acetate, propionate, and butyrate values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor value in the control group (T1) was higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor values of the T2 and T3 groups were higher (p < 0.05) than that of the T4 group. There was no significant variation in the partitioning factor value between the T2 and T3 group. The acetate : propionate (A : P) ratio in the control group (T1) was lower (p < 0.05) than those of the T2, T3, and T4 groups. The A : P ratio in the T2 group was lower (p < 0.05) than those of the T3 and T4 groups. It was concluded that different levels of AFB1 contamination in feed significantly affect the in vitro rumen fermentation characteristics. Thus, these findings could help to determine the influences of AFB1 in a wheat straw-based buffalo diet. Additionally, it is necessary to manage AFB1 contamination in ruminants.

EXISTENCE OF NONNEGATIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS

  • Kim, RakJoong
    • Korean Journal of Mathematics
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    • 제17권4호
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    • pp.495-505
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    • 2009
  • By means of Green function and fixed point theorem related with cone theoretic method we show that there exist multiple nonnegative solutions of a Dirichlet problem $$\array{-[p(t)x^{\prime}(t)]^{\prime}={\lambda}q(t)f(x(t)),\;t{\in}I=[0,\;T]\\x(0)=0=x(T)}$$, and a mixed problem $$\array{-[p(t)x^{\prime}(t)]^{\prime}={\mu}q(t)f(x(t)),\;t{\in}I=[0,\;T]\\x^{\prime}(0)=0=x(T)}$$, where ${\lambda}$ and ${\mu}$ are positive parameters.

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분산 AIoT 환경에서 합성곱신경망 기반 계층적 IoT Edge 자원 할당 및 관리 기법 (Hierarchical IoT Edge Resource Allocation and Management Techniques based on Synthetic Neural Networks in Distributed AIoT Environments)

  • 정윤수
    • 산업과 과학
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    • 제2권3호
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    • pp.8-14
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    • 2023
  • 대다수의 IoT 기기들은 이미 AIoT를 사용하고 있지만, AI 애플리케이션을 구축하기 위해서는 아직 해결해야 할 문제가 많이 남아 있다. 본 연구에서는 IoT 에지 자원을 보다 효과적으로 분산하기 위해 머신러닝 기반의 IoT 에지 자원 관리 기법을 제안한다, 제안 기법은 머신러닝을 이용하여 IoT 에지 자원 동향을 파악함으로써 IoT 자원의 할당을 지속적으로 개선하며, 최적화된 IoT 자원은 머신러닝 컨볼루션을 활용하여 항상 변화하는 IoT 에지 자원을 안정적으로 유지한다, 제안 기법은 각각의 머신러닝 기반 IoT 에지 자원을 이전 패턴의 자원과 함께 해시값으로 저장함으로써 분산된 AIoT 맥락에서 공격 패턴으로 자원을 효과적으로 검증한다. 실험 결과에서는 IoT Edge 리소스의 무결성을 검증하기 위해서 이질적인 계산 하드웨어가 있는 복잡한 환경에서 잘 동작하는지 세 가지 다른 테스트 시나리오에서 에너지 효율성을 평가하였다.

Emerging role of bystander T cell activation in autoimmune diseases

  • Shim, Chae-Hyeon;Cho, Sookyung;Shin, Young-Mi;Choi, Je-Min
    • BMB Reports
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    • 제55권2호
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    • pp.57-64
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    • 2022
  • Autoimmune disease is known to be caused by unregulated self-antigen-specific T cells, causing tissue damage. Although antigen specificity is an important mechanism of the adaptive immune system, antigen non-related T cells have been found in the inflamed tissues in various conditions. Bystander T cell activation refers to the activation of T cells without antigen recognition. During an immune response to a pathogen, bystander activation of self-reactive T cells via inflammatory mediators such as cytokines can trigger autoimmune diseases. Other antigen-specific T cells can also be bystander-activated to induce innate immune response resulting in autoimmune disease pathogenesis along with self-antigen-specific T cells. In this review, we summarize previous studies investigating bystander activation of various T cell types (NKT, γδ T cells, MAIT cells, conventional CD4+, and CD8+ T cells) and discuss the role of innate-like T cell response in autoimmune diseases. In addition, we also review previous findings of bystander T cell function in infection and cancer. A better understanding of bystander-activated T cells versus antigen-stimulated T cells provides a novel insight to control autoimmune disease pathogenesis.